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} __Pyx_PyAsyncMethodsStruct;
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    #define __PYX_EXTERN_C extern
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#define __PYX_HAVE__scipy__linalg___decomp_update
#define __PYX_HAVE_API__scipy__linalg___decomp_update
#include "string.h"
#include "stdlib.h"
#include "limits.h"
#include "float.h"
#include "math.h"
#include "stdio.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#endif

#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_COMPILING_IN_CPYTHON
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */

static PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "scipy/linalg/_decomp_update.pyx",
  "__init__.pxd",
  "type.pxd",
};

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":725
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
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typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
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typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
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typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
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typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
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typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
 * # The int types are mapped a bit surprising --
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 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
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typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
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typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
 * ctypedef npy_longlong   longlong_t
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 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
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typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
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typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
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 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
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typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
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typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
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typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

/* "cython_blas.pxd":15
 * # The original libraries should be linked directly.
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 * ctypedef float s             # <<<<<<<<<<<<<<
 * ctypedef double d
 * ctypedef float complex c
 */
typedef float __pyx_t_5scipy_6linalg_11cython_blas_s;

/* "cython_blas.pxd":16
 * 
 * ctypedef float s
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 * ctypedef double complex z
 */
typedef double __pyx_t_5scipy_6linalg_11cython_blas_d;

/* "cython_lapack.pxd":15
 * # The original libraries should be linked directly.
 * 
 * ctypedef float s             # <<<<<<<<<<<<<<
 * ctypedef double d
 * ctypedef float complex c
 */
typedef float __pyx_t_5scipy_6linalg_13cython_lapack_s;

/* "cython_lapack.pxd":16
 * 
 * ctypedef float s
 * ctypedef double d             # <<<<<<<<<<<<<<
 * ctypedef float complex c
 * ctypedef double complex z
 */
typedef double __pyx_t_5scipy_6linalg_13cython_lapack_d;
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/*--- Type declarations ---*/

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":764
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
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typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * 
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 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
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typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
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typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
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typedef npy_cdouble __pyx_t_5numpy_complex_t;

/* "cython_lapack.pxd":22
 * # Function pointer type declarations for
 * # gees and gges families of functions.
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typedef int __pyx_t_5scipy_6linalg_13cython_lapack_cselect1(__pyx_t_float_complex *);

/* "cython_lapack.pxd":23
 * # gees and gges families of functions.
 * ctypedef bint cselect1(c*)
 * ctypedef bint cselect2(c*, c*)             # <<<<<<<<<<<<<<
 * ctypedef bint dselect2(d*, d*)
 * ctypedef bint dselect3(d*, d*, d*)
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typedef int __pyx_t_5scipy_6linalg_13cython_lapack_cselect2(__pyx_t_float_complex *, __pyx_t_float_complex *);

/* "cython_lapack.pxd":24
 * ctypedef bint cselect1(c*)
 * ctypedef bint cselect2(c*, c*)
 * ctypedef bint dselect2(d*, d*)             # <<<<<<<<<<<<<<
 * ctypedef bint dselect3(d*, d*, d*)
 * ctypedef bint sselect2(s*, s*)
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typedef int __pyx_t_5scipy_6linalg_13cython_lapack_dselect2(__pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *);

/* "cython_lapack.pxd":25
 * ctypedef bint cselect2(c*, c*)
 * ctypedef bint dselect2(d*, d*)
 * ctypedef bint dselect3(d*, d*, d*)             # <<<<<<<<<<<<<<
 * ctypedef bint sselect2(s*, s*)
 * ctypedef bint sselect3(s*, s*, s*)
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typedef int __pyx_t_5scipy_6linalg_13cython_lapack_dselect3(__pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *);

/* "cython_lapack.pxd":26
 * ctypedef bint dselect2(d*, d*)
 * ctypedef bint dselect3(d*, d*, d*)
 * ctypedef bint sselect2(s*, s*)             # <<<<<<<<<<<<<<
 * ctypedef bint sselect3(s*, s*, s*)
 * ctypedef bint zselect1(z*)
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typedef int __pyx_t_5scipy_6linalg_13cython_lapack_sselect2(__pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *);

/* "cython_lapack.pxd":27
 * ctypedef bint dselect3(d*, d*, d*)
 * ctypedef bint sselect2(s*, s*)
 * ctypedef bint sselect3(s*, s*, s*)             # <<<<<<<<<<<<<<
 * ctypedef bint zselect1(z*)
 * ctypedef bint zselect2(z*, z*)
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typedef int __pyx_t_5scipy_6linalg_13cython_lapack_sselect3(__pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *);

/* "cython_lapack.pxd":28
 * ctypedef bint sselect2(s*, s*)
 * ctypedef bint sselect3(s*, s*, s*)
 * ctypedef bint zselect1(z*)             # <<<<<<<<<<<<<<
 * ctypedef bint zselect2(z*, z*)
 * 
 */
typedef int __pyx_t_5scipy_6linalg_13cython_lapack_zselect1(__pyx_t_double_complex *);

/* "cython_lapack.pxd":29
 * ctypedef bint sselect3(s*, s*, s*)
 * ctypedef bint zselect1(z*)
 * ctypedef bint zselect2(z*, z*)             # <<<<<<<<<<<<<<
 * 
 * cdef void cbdsqr(char *uplo, int *n, int *ncvt, int *nru, int *ncc, s *d, s *e, c *vt, int *ldvt, c *u, int *ldu, c *c, int *ldc, s *rwork, int *info) nogil
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typedef int __pyx_t_5scipy_6linalg_13cython_lapack_zselect2(__pyx_t_double_complex *, __pyx_t_double_complex *);

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static void __Pyx_AddTraceback(const char *funcname, int c_line,
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#if CYTHON_CCOMPLEX
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    #define __Pyx_CREAL(z) ((z).real())
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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
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static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eqf(a, b)   ((a)==(b))
    #define __Pyx_c_sumf(a, b)  ((a)+(b))
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  #ifdef __cplusplus
    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_absf(z)     (::std::abs(z))
        #define __Pyx_c_powf(a, b)  (::std::pow(a, b))
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    #define __Pyx_c_is_zerof(z) ((z)==0)
    #define __Pyx_c_conjf(z)    (conjf(z))
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        #define __Pyx_c_absf(z)     (cabsf(z))
        #define __Pyx_c_powf(a, b)  (cpowf(a, b))
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    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex);
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static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq(a, b)   ((a)==(b))
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    #define __Pyx_c_is_zero(z) ((z)==(double)0)
    #define __Pyx_c_conj(z)    (::std::conj(z))
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        #define __Pyx_c_abs(z)     (::std::abs(z))
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    #define __Pyx_c_is_zero(z) ((z)==0)
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static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_int(unsigned int value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

static int __Pyx_check_binary_version(void);

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static PyObject *__Pyx_ImportModule(const char *name);

static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);

static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig);

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);


/* Module declarations from 'cython' */

/* Module declarations from 'libc.string' */

/* Module declarations from 'libc.stdlib' */

/* Module declarations from 'libc.limits' */

/* Module declarations from 'libc.float' */

/* Module declarations from 'libc.stdio' */

/* Module declarations from 'libc' */

/* Module declarations from 'libc.math' */

/* Module declarations from 'cpython.buffer' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'cpython' */

/* Module declarations from 'cpython.object' */

/* Module declarations from 'cpython.ref' */

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/

/* Module declarations from 'scipy.linalg.cython_blas' */
static void (*__pyx_f_5scipy_6linalg_11cython_blas_caxpy)(int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_ccopy)(int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cgemm)(char *, char *, int *, int *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cgemv)(char *, int *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cgeru)(int *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cscal)(int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_cswap)(int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_ctrmm)(char *, char *, char *, char *, int *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_daxpy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dcopy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dgemm)(char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dgemv)(char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dger)(int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static __pyx_t_5scipy_6linalg_11cython_blas_d (*__pyx_f_5scipy_6linalg_11cython_blas_dnrm2)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_drot)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dscal)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dswap)(int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_dtrmm)(char *, char *, char *, char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *, __pyx_t_5scipy_6linalg_11cython_blas_d *, int *); /*proto*/
static __pyx_t_5scipy_6linalg_11cython_blas_d (*__pyx_f_5scipy_6linalg_11cython_blas_dznrm2)(int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_saxpy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static __pyx_t_5scipy_6linalg_11cython_blas_s (*__pyx_f_5scipy_6linalg_11cython_blas_scnrm2)(int *, __pyx_t_float_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_scopy)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sgemm)(char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sgemv)(char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sger)(int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static __pyx_t_5scipy_6linalg_11cython_blas_s (*__pyx_f_5scipy_6linalg_11cython_blas_snrm2)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_srot)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sscal)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_sswap)(int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_strmm)(char *, char *, char *, char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zaxpy)(int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zcopy)(int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zgemm)(char *, char *, int *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zgemv)(char *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zgeru)(int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zscal)(int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_zswap)(int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_11cython_blas_ztrmm)(char *, char *, char *, char *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/

/* Module declarations from 'scipy.linalg.cython_lapack' */
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_cgeqrf)(int *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_clarf)(char *, int *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_clarfg)(int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_clartg)(__pyx_t_float_complex *, __pyx_t_float_complex *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_float_complex *, __pyx_t_float_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_crot)(int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_float_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_cunmqr)(char *, char *, int *, int *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_dgeqrf)(int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_dlarf)(char *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_dlarfg)(int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_dlartg)(__pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_dormqr)(char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_sgeqrf)(int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_slarf)(char *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_slarfg)(int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_slartg)(__pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_sormqr)(char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_zgeqrf)(int *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, int *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_zlarf)(char *, int *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_zlarfg)(int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_zlartg)(__pyx_t_double_complex *, __pyx_t_double_complex *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_double_complex *, __pyx_t_double_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_zrot)(int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_double_complex *); /*proto*/
static void (*__pyx_f_5scipy_6linalg_13cython_lapack_zunmqr)(char *, char *, int *, int *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int *); /*proto*/

/* Module declarations from 'scipy.linalg' */

/* Module declarations from 'scipy.linalg._decomp_update' */
static int __pyx_v_5scipy_6linalg_14_decomp_update_ARRAY_ANYORDER;
static int __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
static PyObject *__pyx_f_5scipy_6linalg_14_decomp_update_form_qTu(PyArrayObject *, PyArrayObject *, void *, int *, int); /*proto*/
static PyObject *__pyx_f_5scipy_6linalg_14_decomp_update_validate_array(PyArrayObject *, int); /*proto*/
static PyObject *__pyx_f_5scipy_6linalg_14_decomp_update_validate_qr(PyObject *, PyObject *, int, int, int, int, int); /*proto*/
static void *__pyx_f_5scipy_6linalg_14_decomp_update_extract(PyArrayObject *, int *); /*proto*/
static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(float *, int *, int, int); /*proto*/
static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(double *, int *, int, int); /*proto*/
static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_t_float_complex *, int *, int, int); /*proto*/
static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_t_double_complex *, int *, int, int); /*proto*/
static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(float *, int *, int); /*proto*/
static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(double *, int *, int); /*proto*/
static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_t_float_complex *, int *, int); /*proto*/
static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_t_double_complex *, int *, int); /*proto*/
static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(float *, int *, int); /*proto*/
static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(double *, int *, int); /*proto*/
static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_t_float_complex *, int *, int); /*proto*/
static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_t_double_complex *, int *, int); /*proto*/
static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(float *, int *, int); /*proto*/
static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(double *, int *, int); /*proto*/
static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_t_float_complex *, int *, int); /*proto*/
static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_t_double_complex *, int *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(int, float *, int, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(int, double *, int, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(int, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(int, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_swap(int, float *, int, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_swap(int, double *, int, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_swap(int, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_swap(int, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(int, float, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(int, double, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(int, __pyx_t_float_complex, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(int, __pyx_t_double_complex, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int, float, float *, int, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int, double, double *, int, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int, __pyx_t_float_complex, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int, __pyx_t_double_complex, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE float __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int, float *, int); /*proto*/
static CYTHON_INLINE double __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int, double *, int); /*proto*/
static CYTHON_INLINE __pyx_t_float_complex __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE __pyx_t_double_complex __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(float *, float *, float *, float *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(double *, double *, double *, double *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_t_float_complex *, __pyx_t_float_complex *, __pyx_t_float_complex *, __pyx_t_float_complex *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_t_double_complex *, __pyx_t_double_complex *, __pyx_t_double_complex *, __pyx_t_double_complex *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(int, float *, int, float *, int, float, float); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(int, double *, int, double *, int, double, double); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(int, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int, __pyx_t_float_complex, __pyx_t_float_complex); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(int, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int, float *, float *, int, float *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int, double *, double *, int, double *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int, __pyx_t_float_complex *, __pyx_t_float_complex *, int, __pyx_t_float_complex *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int, __pyx_t_double_complex *, __pyx_t_double_complex *, int, __pyx_t_double_complex *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *, int, int, float *, int, float, float *, int, float *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *, int, int, double *, int, double, double *, int, double *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *, int, int, __pyx_t_float_complex *, int, __pyx_t_float_complex, __pyx_t_float_complex *, int, __pyx_t_float_complex *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *, int, int, __pyx_t_double_complex *, int, __pyx_t_double_complex, __pyx_t_double_complex *, int, __pyx_t_double_complex *); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ger(int, int, float, float *, int, float *, int, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ger(int, int, double, double *, int, double *, int, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ger(int, int, __pyx_t_float_complex, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ger(int, int, __pyx_t_double_complex, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *, int, int, float, float *, int, float *, int, float, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *, int, int, double, double *, int, double *, int, double, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *, int, int, __pyx_t_float_complex, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int, __pyx_t_float_complex, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *, int, int, __pyx_t_double_complex, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int, __pyx_t_double_complex, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *, char *, int, int, int, float, float *, int, float *, int, float, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *, char *, int, int, int, double, double *, int, double *, int, double, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *, char *, int, int, int, __pyx_t_float_complex, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int, __pyx_t_float_complex, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *, char *, int, int, int, __pyx_t_double_complex, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int, __pyx_t_double_complex, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *, char *, char *, char *, int, int, float, float *, int, float *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *, char *, char *, char *, int, int, double, double *, int, double *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *, char *, char *, char *, int, int, __pyx_t_float_complex, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *, char *, char *, char *, int, int, __pyx_t_double_complex, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int, int, float *, int, float *, float *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int, int, double *, int, double *, double *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int, int, __pyx_t_float_complex *, int, __pyx_t_float_complex *, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int, int, __pyx_t_double_complex *, int, __pyx_t_double_complex *, __pyx_t_double_complex *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *, char *, int, int, int, float *, int, float *, float *, int, float *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *, char *, int, int, int, double *, int, double *, double *, int, double *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *, char *, int, int, int, __pyx_t_float_complex *, int, __pyx_t_float_complex *, __pyx_t_float_complex *, int, __pyx_t_float_complex *, int); /*proto*/
static CYTHON_INLINE int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *, char *, int, int, int, __pyx_t_double_complex *, int, __pyx_t_double_complex *, __pyx_t_double_complex *, int, __pyx_t_double_complex *, int); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(int, float *, int *); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(int, double *, int *); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(int, __pyx_t_float_complex *, int *); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(int, __pyx_t_double_complex *, int *); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(int, int, float *, int *); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(int, int, double *, int *); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(int, int, __pyx_t_float_complex *, int *); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(int, int, __pyx_t_double_complex *, int *); /*proto*/
static float __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(float); /*proto*/
static double __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(double); /*proto*/
static __pyx_t_float_complex __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(__pyx_t_float_complex); /*proto*/
static __pyx_t_double_complex __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(__pyx_t_double_complex); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(float, float); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(double, double); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_t_float_complex, __pyx_t_float_complex); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(float, float); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(double, double); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_t_float_complex, __pyx_t_float_complex); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int, int, float *, int *, int, int, float *, float *); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int, int, double *, int *, int, int, double *, double *); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int, int, __pyx_t_float_complex *, int *, int, int, __pyx_t_float_complex *, __pyx_t_float_complex *); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int, int, __pyx_t_double_complex *, int *, int, int, __pyx_t_double_complex *, __pyx_t_double_complex *); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int, int, float *, int *, int, float *, int *, int, int, int); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int, int, double *, int *, int, double *, int *, int, int, int); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int, int, __pyx_t_float_complex *, int *, int, __pyx_t_float_complex *, int *, int, int, int); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int, int, __pyx_t_double_complex *, int *, int, __pyx_t_double_complex *, int *, int, int, int); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int, int, float *, int *, float *, int *, int, int); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int, int, double *, int *, double *, int *, int, int); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int, int); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int, int); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int, int, int, float *, int *, float *, int *, int); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int, int, int, double *, int *, double *, int *, int); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int, int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int, int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int, int, int, float *, int *, float *, int *, int, int); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int, int, int, double *, int *, double *, int *, int, int); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int, int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int, int); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int, int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int, int); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int, int, float *, int *, float *, int *, float *, int *, int); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int, int, double *, int *, double *, int *, double *, int *, int); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int, int, float *, int *, float *, int *, int); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int, int, double *, int *, double *, int *, int); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int, int, float *, int *, float *, int *, float *, int *, int, int); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int, int, double *, int *, double *, int *, double *, int *, int, int); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int, int); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int, int); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int, int, float *, int *, float *, int *, int, int); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int, int, double *, int *, double *, int *, int, int); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int, int); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int, int); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int, int, float *, int *, float *, int *, float *, int *, int, int, int, float *); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int, int, double *, int *, double *, int *, double *, int *, int, int, int, double *); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int, int, int, __pyx_t_float_complex *); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int, int, int, __pyx_t_double_complex *); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int, int, float *, int *, float *, int *, int); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int, int, double *, int *, double *, int *, int); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int, int, float *, int *, float *, int *, int, int); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int, int, double *, int *, double *, int *, int, int); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int, int); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int, int); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int, int, float *, int *, int, float *, int *, float *, int *, float *, int *, float *, int *); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int, int, double *, int *, int, double *, int *, double *, int *, double *, int *, double *, int *); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int, int, __pyx_t_float_complex *, int *, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int, int, __pyx_t_double_complex *, int *, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int, int, int, float *, int *, int, float *, int *, float *, int *, float *, int *, float *, int *); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int, int, int, double *, int *, int, double *, int *, double *, int *, double *, int *, double *, int *); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int, int, int, __pyx_t_float_complex *, int *, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int, int, int, __pyx_t_double_complex *, int *, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int, int, float *, int *, float *, int *, float *, int *, float *, int *); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int, int, double *, int *, double *, int *, double *, int *, double *, int *); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int, int, int, float *, int *, float *, int *, float *, int *, float *, int *); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int, int, int, double *, int *, double *, int *, double *, int *, double *, int *); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int, int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int, int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int, int, float *, int *, float *, int *, int); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int, int, double *, int *, double *, int *, int); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int); /*proto*/
static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int, int, int, float *, int *, float *, int *, int, int, float *); /*proto*/
static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int, int, int, double *, int *, double *, int *, int, int, double *); /*proto*/
static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int, int, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int, int, __pyx_t_float_complex *); /*proto*/
static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int, int, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int, int, __pyx_t_double_complex *); /*proto*/
static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int, int, float *, int *, int, float *, int *, float *, float *); /*proto*/
static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int, int, double *, int *, int, double *, int *, double *, double *); /*proto*/
static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int, int, __pyx_t_float_complex *, int *, int, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *); /*proto*/
static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int, int, __pyx_t_double_complex *, int *, int, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *); /*proto*/
#define __Pyx_MODULE_NAME "scipy.linalg._decomp_update"
int __pyx_module_is_main_scipy__linalg___decomp_update = 0;

/* Implementation of 'scipy.linalg._decomp_update' */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_RuntimeError;
static char __pyx_k_B[] = "B";
static char __pyx_k_C[] = "C";
static char __pyx_k_F[] = "F";
static char __pyx_k_H[] = "H";
static char __pyx_k_I[] = "I";
static char __pyx_k_L[] = "L";
static char __pyx_k_N[] = "N";
static char __pyx_k_O[] = "O";
static char __pyx_k_Q[] = "Q";
static char __pyx_k_R[] = "R";
static char __pyx_k_T[] = "T";
static char __pyx_k_U[] = "U";
static char __pyx_k_a[] = "a";
static char __pyx_k_b[] = "b";
static char __pyx_k_d[] = "d";
static char __pyx_k_f[] = "f";
static char __pyx_k_g[] = "g";
static char __pyx_k_h[] = "h";
static char __pyx_k_i[] = "i";
static char __pyx_k_j[] = "j";
static char __pyx_k_k[] = "k";
static char __pyx_k_l[] = "l";
static char __pyx_k_m[] = "m";
static char __pyx_k_n[] = "n";
static char __pyx_k_o[] = "o";
static char __pyx_k_p[] = "p";
static char __pyx_k_q[] = "q";
static char __pyx_k_s[] = "s";
static char __pyx_k_u[] = "u";
static char __pyx_k_v[] = "v";
static char __pyx_k_Zd[] = "Zd";
static char __pyx_k_Zf[] = "Zf";
static char __pyx_k_Zg[] = "Zg";
static char __pyx_k_k1[] = "k1";
static char __pyx_k_np[] = "np";
static char __pyx_k_p1[] = "p1";
static char __pyx_k_q1[] = "q1";
static char __pyx_k_qp[] = "qp";
static char __pyx_k_qs[] = "qs";
static char __pyx_k_r1[] = "r1";
static char __pyx_k_rs[] = "rs";
static char __pyx_k_sp[] = "sp";
static char __pyx_k_ss[] = "ss";
static char __pyx_k_u1[] = "u1";
static char __pyx_k_up[] = "up";
static char __pyx_k_us[] = "us";
static char __pyx_k_v1[] = "v1";
static char __pyx_k_vs[] = "vs";
static char __pyx_k_all[] = "all";
static char __pyx_k_col[] = "col";
static char __pyx_k_dot[] = "dot";
static char __pyx_k_drc[] = "drc";
static char __pyx_k_frc[] = "frc";
static char __pyx_k_qTu[] = "qTu";
static char __pyx_k_row[] = "row";
static char __pyx_k_conj[] = "conj";
static char __pyx_k_copy[] = "copy";
static char __pyx_k_info[] = "info";
static char __pyx_k_intp[] = "intp";
static char __pyx_k_main[] = "__main__";
static char __pyx_k_ndim[] = "ndim";
static char __pyx_k_norm[] = "norm";
static char __pyx_k_ones[] = "ones";
static char __pyx_k_qTus[] = "qTus";
static char __pyx_k_qisF[] = "qisF";
static char __pyx_k_qnew[] = "qnew";
static char __pyx_k_qptr[] = "qptr";
static char __pyx_k_rc_d[] = "rc_d";
static char __pyx_k_rc_f[] = "rc_f";
static char __pyx_k_rnew[] = "rnew";
static char __pyx_k_rptr[] = "rptr";
static char __pyx_k_size[] = "size";
static char __pyx_k_sptr[] = "sptr";
static char __pyx_k_test[] = "__test__";
static char __pyx_k_uptr[] = "uptr";
static char __pyx_k_vptr[] = "vptr";
static char __pyx_k_all_2[] = "__all__";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_p_eco[] = "p_eco";
static char __pyx_k_range[] = "range";
static char __pyx_k_ravel[] = "ravel";
static char __pyx_k_rcond[] = "rcond";
static char __pyx_k_shape[] = "shape";
static char __pyx_k_which[] = "which";
static char __pyx_k_delete[] = "delete";
static char __pyx_k_format[] = "format";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_insert[] = "insert";
static char __pyx_k_length[] = "length";
static char __pyx_k_linalg[] = "linalg";
static char __pyx_k_p_full[] = "p_full";
static char __pyx_k_qTuptr[] = "qTuptr";
static char __pyx_k_reorth[] = "_reorth";
static char __pyx_k_qTuvoid[] = "qTuvoid";
static char __pyx_k_q_flags[] = "q_flags";
static char __pyx_k_u_flags[] = "u_flags";
static char __pyx_k_economic[] = "economic";
static char __pyx_k_form_qTu[] = "_form_qTu";
static char __pyx_k_isfinite[] = "isfinite";
static char __pyx_k_typecode[] = "typecode";
static char __pyx_k_uv_flags[] = "uv_flags";
static char __pyx_k_conjugate[] = "conjugate";
static char __pyx_k_qr_delete[] = "qr_delete";
static char __pyx_k_qr_insert[] = "qr_insert";
static char __pyx_k_qr_update[] = "qr_update";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_LinAlgError[] = "LinAlgError";
static char __pyx_k_MemoryError[] = "MemoryError";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_check_finite[] = "check_finite";
static char __pyx_k_numpy_linalg[] = "numpy.linalg";
static char __pyx_k_overwrite_qr[] = "overwrite_qr";
static char __pyx_k_q_must_be_2d[] = "q must be 2d";
static char __pyx_k_u_must_be_1d[] = "u must be 1d";
static char __pyx_k_overwrite_qru[] = "overwrite_qru";
static char __pyx_k_qr_insert_col[] = "qr_insert_col";
static char __pyx_k_qr_insert_row[] = "qr_insert_row";
static char __pyx_k_overwrite_qruv[] = "overwrite_qruv";
static char __pyx_k_p_is_out_of_range[] = "'p' is out of range";
static char __pyx_k_k_is_out_of_bounds[] = "'k' is out of bounds";
static char __pyx_k_Q_and_R_must_be_2_D[] = "Q and R must be 2-D";
static char __pyx_k_qr_delete_line_1501[] = "qr_delete (line 1501)";
static char __pyx_k_qr_insert_line_1743[] = "qr_insert (line 1743)";
static char __pyx_k_qr_update_line_2200[] = "qr_update (line 2200)";
static char __pyx_k_Inputs_must_be_arrays[] = "Inputs must be arrays";
static char __pyx_k_q_must_be_one_segment[] = "q must be one segment.";
static char __pyx_k_u_must_be_either_1_or_2_D[] = "'u' must be either 1- or 2-D";
static char __pyx_k_v_must_be_either_1_or_2_D[] = "v must be either 1- or 2-D.";
static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static char __pyx_k_scipy_linalg__decomp_update[] = "scipy.linalg._decomp_update";
static char __pyx_k_u_must_be_either_1_or_2_D_2[] = "u must be either 1- or 2-D.";
static char __pyx_k_u_shape_0_must_be_q_shape_0[] = "u.shape[0] must be q.shape[0]";
static char __pyx_k_rcond_is_unused_when_inserting[] = "'rcond' is unused when inserting rows and must be None";
static char __pyx_k_u_must_have_the_same_type_as_Q[] = "'u' must have the same type as 'Q' and 'R'";
static char __pyx_k_u_shape_0_must_equal_Q_shape_0[] = "u.shape[0] must equal Q.shape[0]";
static char __pyx_k_v_shape_0_must_equal_R_shape_1[] = "v.shape[0] must equal R.shape[1]";
static char __pyx_k_Expected_M_M_M_N_or_M_N_N_N_but[] = "Expected (M,M) (M,N) or (M,N) (N,N) but found %s %s for Q and R respectively";
static char __pyx_k_One_of_the_columns_of_u_lies_in[] = "One of the columns of u lies in the span of Q. Found reciprocal condition number of %s for Q augmented with u/||u||.";
static char __pyx_k_Only_arrays_with_dtypes_float32[] = "Only arrays with dtypes float32, float64, complex64, and complex128 are supported.";
static char __pyx_k_QR_downdate_on_row_or_column_de[] = "\n    QR downdate on row or column deletions\n\n    If ``A = Q R`` is the QR factorization of ``A``, return the QR\n    factorization of ``A`` where ``p`` rows or columns have been removed\n    starting at row or column ``k``.\n\n    Parameters\n    ----------\n    Q : (M, M) or (M, N) array_like\n        Unitary/orthogonal matrix from QR decomposition.\n    R : (M, N) or (N, N) array_like\n        Upper triangular matrix from QR decomposition.\n    k : int\n        Index of the first row or column to delete.\n    p : int, optional\n        Number of rows or columns to delete, defaults to 1.\n    which: {'row', 'col'}, optional\n        Determines if rows or columns will be deleted, defaults to 'row'\n    overwrite_qr : bool, optional\n        If True, consume Q and R, overwriting their contents with their\n        downdated versions, and returning approriately sized views.  \n        Defaults to False.\n    check_finite : bool, optional\n        Whether to check that the input matrix contains only finite numbers.\n        Disabling may give a performance gain, but may result in problems\n        (crashes, non-termination) if the inputs do contain infinities or NaNs.\n        Default is True.\n\n    Returns\n    -------\n    Q1 : ndarray\n        Updated unitary/orthogonal factor\n    R1 : ndarray\n        Updated upper triangular factor\n\n    See Also\n    --------\n    qr, qr_multiply, qr_insert, qr_update\n\n    Notes\n    -----\n    This routine does not guarantee that the diagonal entries of ``R1`` are\n    positive.\n\n    .. versionadded:: 0.16.0\n\n    References\n    ----------\n    .. [1] Golub, G. H. & Van Loan, C. F. Matrix Computations, 3rd Ed.\n           (Johns Hopkins University Press, 1996).\n\n    .. [2] Daniel, J. W., Gragg, W. B., Kaufman, L. & Stewart, G. W.\n           Reorthogonalization and stable algorithms for updating the\n           Gram-Schmidt QR factorization. Math. Comput. 30, 772-795 (1976).\n\n    .. [3] Reichel, L. & Gragg, W. B. ""Algorithm 686: FORTRAN Subroutines for\n           Updating the QR Decomposition. ACM Trans. Math. Softw. 16, 369-377\n           (1990).\n\n    Examples\n    --------\n    >>> from scipy import linalg\n    >>> a = np.array([[  3.,  -2.,  -2.],\n    ...               [  6.,  -9.,  -3.],\n    ...               [ -3.,  10.,   1.],\n    ...               [  6.,  -7.,   4.],\n    ...               [  7.,   8.,  -6.]])\n    >>> q, r = linalg.qr(a)\n\n    Given this QR decomposition, update q and r when 2 rows are removed.\n\n    >>> q1, r1 = linalg.qr_delete(q, r, 2, 2, 'row', False)\n    >>> q1\n    array([[ 0.30942637,  0.15347579,  0.93845645],  # may vary (signs)\n           [ 0.61885275,  0.71680171, -0.32127338],\n           [ 0.72199487, -0.68017681, -0.12681844]])\n    >>> r1\n    array([[  9.69535971,  -0.4125685 ,  -6.80738023],  # may vary (signs)\n           [  0.        , -12.19958144,   1.62370412],\n           [  0.        ,   0.        ,  -0.15218213]])\n\n    The update is equivalent, but faster than the following.\n\n    >>> a1 = np.delete(a, slice(2,4), 0)\n    >>> a1\n    array([[ 3., -2., -2.],\n           [ 6., -9., -3.],\n           [ 7.,  8., -6.]])\n    >>> q_direct, r_direct = linalg.qr(a1)\n\n    Check that we have equivalent results:\n\n    >>> np.dot(q1, r1)\n    array([[ 3., -2., -2.],\n           [ 6., -9., -3.],\n           [ 7.,  8., -6.]])\n    >>> np.allclose(np.dot(q1, r1), a1)\n    True\n\n    And the updated Q is still unitary:\n\n    >>> np.allclose(np.dot(q1.T, q1), np.eye(3))\n    True\n\n    ";
static char __pyx_k_QR_update_on_row_or_column_inse[] = "\n    QR update on row or column insertions\n\n    If ``A = Q R`` is the QR factorization of ``A``, return the QR\n    factorization of ``A`` where rows or columns have been inserted starting\n    at row or column ``k``.\n\n    Parameters\n    ----------\n    Q : (M, M) array_like\n        Unitary/orthogonal matrix from the QR decomposition of A.\n    R : (M, N) array_like\n        Upper triangular matrix from the QR decomposition of A.\n    u : (N,), (p, N), (M,), or (M, p) array_like\n        Rows or columns to insert\n    k : int\n        Index before which `u` is to be inserted.\n    which: {'row', 'col'}, optional\n        Determines if rows or columns will be inserted, defaults to 'row'\n    rcond : float\n        Lower bound on the reciprocal condition number of ``Q`` augmented with\n        ``u/||u||`` Only used when updating economic mode (thin, (M,N) (N,N))\n        decompositions.  If None, machine precision is used.  Defaults to \n        None.\n    overwrite_qru : bool, optional\n        If True, consume Q, R, and u, if possible, while performing the update,\n        otherwise make copies as necessary. Defaults to False.\n    check_finite : bool, optional\n        Whether to check that the input matrices contain only finite numbers.\n        Disabling may give a performance gain, but may result in problems\n        (crashes, non-termination) if the inputs do contain infinities or NaNs.\n        Default is True.\n\n    Returns\n    -------\n    Q1 : ndarray\n        Updated unitary/orthogonal factor\n    R1 : ndarray\n        Updated upper triangular factor\n\n    Raises\n    ------\n    LinAlgError :\n        If updating a (M,N) (N,N) factorization and the reciprocal condition\n        number of Q augmented with u/||u|| is smaller than rcond.\n\n    See Also\n    --------\n    qr, qr_multiply, qr_delete, qr_update\n\n    Notes\n    -----\n    This routine does not guarantee that the diagonal entries of ``R1`` are\n    positive.\n\n    .. versionadded:: ""0.16.0\n\n    References\n    ----------\n\n    .. [1] Golub, G. H. & Van Loan, C. F. Matrix Computations, 3rd Ed.\n           (Johns Hopkins University Press, 1996).\n\n    .. [2] Daniel, J. W., Gragg, W. B., Kaufman, L. & Stewart, G. W.\n           Reorthogonalization and stable algorithms for updating the\n           Gram-Schmidt QR factorization. Math. Comput. 30, 772-795 (1976).\n\n    .. [3] Reichel, L. & Gragg, W. B. Algorithm 686: FORTRAN Subroutines for\n           Updating the QR Decomposition. ACM Trans. Math. Softw. 16, 369-377\n           (1990).\n\n    Examples\n    --------\n    >>> from scipy import linalg\n    >>> a = np.array([[  3.,  -2.,  -2.],\n    ...               [  6.,  -7.,   4.],\n    ...               [  7.,   8.,  -6.]])\n    >>> q, r = linalg.qr(a)\n\n    Given this QR decomposition, update q and r when 2 rows are inserted.\n                      \n    >>> u = np.array([[  6.,  -9.,  -3.], \n    ...               [ -3.,  10.,   1.]])\n    >>> q1, r1 = linalg.qr_insert(q, r, u, 2, 'row')\n    >>> q1\n    array([[-0.25445668,  0.02246245,  0.18146236, -0.72798806,  0.60979671],  # may vary (signs)\n           [-0.50891336,  0.23226178, -0.82836478, -0.02837033, -0.00828114],\n           [-0.50891336,  0.35715302,  0.38937158,  0.58110733,  0.35235345],\n           [ 0.25445668, -0.52202743, -0.32165498,  0.36263239,  0.65404509],\n           [-0.59373225, -0.73856549,  0.16065817, -0.0063658 , -0.27595554]])\n    >>> r1\n    array([[-11.78982612,   6.44623587,   3.81685018],  # may vary (signs)\n           [  0.        , -16.01393278,   3.72202865],\n           [  0.        ,   0.        ,  -6.13010256],\n           [  0.        ,   0.        ,   0.        ],\n           [  0.        ,   0.        ,   0.        ]])\n\n    The update is equivalent, but faster than the following.\n\n    >>> a1 = np.insert(a, 2, u, 0)\n    >>> a1\n    array([[  3.,  -2.,  -2.],\n           [  6.,  -7.,   4.],\n           [  6.,  -9.,  -3.],\n           [ -3."",  10.,   1.],\n           [  7.,   8.,  -6.]])\n    >>> q_direct, r_direct = linalg.qr(a1)\n\n    Check that we have equivalent results:\n\n    >>> np.dot(q1, r1)\n    array([[  3.,  -2.,  -2.],\n           [  6.,  -7.,   4.],\n           [  6.,  -9.,  -3.],\n           [ -3.,  10.,   1.],\n           [  7.,   8.,  -6.]])\n\n    >>> np.allclose(np.dot(q1, r1), a1)\n    True\n\n    And the updated Q is still unitary:\n\n    >>> np.allclose(np.dot(q1.T, q1), np.eye(5))\n    True\n\n    ";
static char __pyx_k_Rank_k_QR_update_If_A_Q_R_is_th[] = "\n    Rank-k QR update\n\n    If ``A = Q R`` is the QR factorization of ``A``, return the QR\n    factorization of ``A + u v**T`` for real ``A`` or ``A + u v**H``\n    for complex ``A``.\n\n    Parameters\n    ----------\n    Q : (M, M) or (M, N) array_like\n        Unitary/orthogonal matrix from the qr decomposition of A.\n    R : (M, N) or (N, N) array_like\n        Upper triangular matrix from the qr decomposition of A.\n    u : (M,) or (M, k) array_like\n        Left update vector\n    v : (N,) or (N, k) array_like\n        Right update vector\n    overwrite_qruv : bool, optional\n        If True, consume Q, R, u, and v, if possible, while performing the\n        update, otherwise make copies as necessary. Defaults to False.\n    check_finite : bool, optional\n        Whether to check that the input matrix contains only finite numbers.\n        Disabling may give a performance gain, but may result in problems\n        (crashes, non-termination) if the inputs do contain infinities or NaNs.\n        Default is True.\n\n    Returns\n    -------\n    Q1 : ndarray\n        Updated unitary/orthogonal factor\n    R1 : ndarray\n        Updated upper triangular factor\n\n    See Also\n    --------\n    qr, qr_multiply, qr_delete, qr_insert\n\n    Notes\n    -----\n    This routine does not guarantee that the diagonal entries of `R1` are\n    real or positive.\n\n    .. versionadded:: 0.16.0\n\n    References\n    ----------\n    .. [1] Golub, G. H. & Van Loan, C. F. Matrix Computations, 3rd Ed.\n           (Johns Hopkins University Press, 1996).\n\n    .. [2] Daniel, J. W., Gragg, W. B., Kaufman, L. & Stewart, G. W.\n           Reorthogonalization and stable algorithms for updating the\n           Gram-Schmidt QR factorization. Math. Comput. 30, 772-795 (1976).\n\n    .. [3] Reichel, L. & Gragg, W. B. Algorithm 686: FORTRAN Subroutines for\n           Updating the QR Decomposition. ACM Trans. Math. Softw. 16, 369-377\n           (1990).\n\n    Examples\n    --------\n   "" >>> from scipy import linalg\n    >>> a = np.array([[  3.,  -2.,  -2.],\n    ...               [  6.,  -9.,  -3.],\n    ...               [ -3.,  10.,   1.],\n    ...               [  6.,  -7.,   4.],\n    ...               [  7.,   8.,  -6.]])\n    >>> q, r = linalg.qr(a)\n\n    Given this q, r decomposition, perform a rank 1 update.\n\n    >>> u = np.array([7., -2., 4., 3., 5.])\n    >>> v = np.array([1., 3., -5.])\n    >>> q_up, r_up = linalg.qr_update(q, r, u, v, False)\n    >>> q_up\n    array([[ 0.54073807,  0.18645997,  0.81707661, -0.02136616,  0.06902409],  # may vary (signs)\n           [ 0.21629523, -0.63257324,  0.06567893,  0.34125904, -0.65749222],\n           [ 0.05407381,  0.64757787, -0.12781284, -0.20031219, -0.72198188],\n           [ 0.48666426, -0.30466718, -0.27487277, -0.77079214,  0.0256951 ],\n           [ 0.64888568,  0.23001   , -0.4859845 ,  0.49883891,  0.20253783]])\n    >>> r_up\n    array([[ 18.49324201,  24.11691794, -44.98940746],  # may vary (signs)\n           [  0.        ,  31.95894662, -27.40998201],\n           [  0.        ,   0.        ,  -9.25451794],\n           [  0.        ,   0.        ,   0.        ],\n           [  0.        ,   0.        ,   0.        ]])\n    \n    The update is equivalent, but faster than the following.\n\n    >>> a_up = a + np.outer(u, v)\n    >>> q_direct, r_direct = linalg.qr(a_up)\n\n    Check that we have equivalent results:\n\n    >>> np.allclose(np.dot(q_up, r_up), a_up)\n    True\n\n    And the updated Q is still unitary:\n\n    >>> np.allclose(np.dot(q_up.T, q_up), np.eye(5))\n    True\n\n    Updating economic (reduced, thin) decompositions is also possible:\n\n    >>> qe, re = linalg.qr(a, mode='economic')\n    >>> qe_up, re_up = linalg.qr_update(qe, re, u, v, False)\n    >>> qe_up\n    array([[ 0.54073807,  0.18645997,  0.81707661],  # may vary (signs)\n           [ 0.21629523, -0.63257324,  0.06567893],\n           [ 0.05407381,  0.64757787, -0.12781284],\n           [ 0.48666426, -0.3""0466718, -0.27487277],\n           [ 0.64888568,  0.23001   , -0.4859845 ]])\n    >>> re_up\n    array([[ 18.49324201,  24.11691794, -44.98940746],  # may vary (signs)\n           [  0.        ,  31.95894662, -27.40998201],\n           [  0.        ,   0.        ,  -9.25451794]])\n    >>> np.allclose(np.dot(qe_up, re_up), a_up)\n    True\n    >>> np.allclose(np.dot(qe_up.T, qe_up), np.eye(3))\n    True\n\n    Similarly to the above, perform a rank 2 update.\n\n    >>> u2 = np.array([[ 7., -1,],\n    ...                [-2.,  4.],\n    ...                [ 4.,  2.],\n    ...                [ 3., -6.],\n    ...                [ 5.,  3.]])\n    >>> v2 = np.array([[ 1., 2.],\n    ...                [ 3., 4.],\n    ...                [-5., 2]])\n    >>> q_up2, r_up2 = linalg.qr_update(q, r, u2, v2, False)\n    >>> q_up2\n    array([[-0.33626508, -0.03477253,  0.61956287, -0.64352987, -0.29618884],  # may vary (signs)\n           [-0.50439762,  0.58319694, -0.43010077, -0.33395279,  0.33008064],\n           [-0.21016568, -0.63123106,  0.0582249 , -0.13675572,  0.73163206],\n           [ 0.12609941,  0.49694436,  0.64590024,  0.31191919,  0.47187344],\n           [-0.75659643, -0.11517748,  0.10284903,  0.5986227 , -0.21299983]])\n    >>> r_up2\n    array([[-23.79075451, -41.1084062 ,  24.71548348],  # may vary (signs)\n           [  0.        , -33.83931057,  11.02226551],\n           [  0.        ,   0.        ,  48.91476811],\n           [  0.        ,   0.        ,   0.        ],\n           [  0.        ,   0.        ,   0.        ]])\n\n    This update is also a valid qr decomposition of ``A + U V**T``.\n\n    >>> a_up2 = a + np.dot(u2, v2.T)\n    >>> np.allclose(a_up2, np.dot(q_up2, r_up2))\n    True\n    >>> np.allclose(np.dot(q_up2.T, q_up2), np.eye(5))\n    True\n\n    ";
static char __pyx_k_Routines_for_updating_QR_decomp[] = "\nRoutines for updating QR decompositions\n\n.. versionadded: 0.16.0\n\n";
static char __pyx_k_home_br_repos_scipy_scipy_linal[] = "/home/br/repos/scipy/scipy/linalg/_decomp_update.pyx";
static char __pyx_k_q_and_u_must_have_the_same_type[] = "q and u must have the same type.";
static char __pyx_k_rcond_is_not_used_when_updating[] = "'rcond' is not used when updating full, (M,M) (M,N) decompositions and must be None.";
static char __pyx_k_u_and_v_must_have_the_same_type[] = "u and v must have the same type as Q and R";
static char __pyx_k_u_should_be_either_M_or_M_p_whe[] = "'u' should be either (M,) or (M,p) when inserting columns. Found %s.";
static char __pyx_k_u_should_be_either_N_or_p_N_whe[] = "'u' should be either (N,) or (p,N) when inserting rows. Found %s.";
static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_which_must_be_either_row_or_col[] = "'which' must be either 'row' or 'col'";
static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_Input_array_too_large_for_use_wi[] = "Input array too large for use with BLAS";
static char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static char __pyx_k_Q_and_R_do_not_have_compatible_s[] = "Q and R do not have compatible shapes. Expected (M,M) (M,N) or (M,N) (N,N) but found %s %s for Q and R respectively";
static char __pyx_k_Q_and_R_must_have_the_same_dtype[] = "Q and R must have the same dtype";
static char __pyx_k_Reorthogonalization_Failed_unabl[] = "Reorthogonalization Failed, unable to perform row deletion.";
static char __pyx_k_Second_dimension_of_u_and_v_must[] = "Second dimension of u and v must be the same";
static char __pyx_k_Shape_of_u_is_incorrect_should_b[] = "Shape of u is incorrect, should be 1 <= u.ndim <= 2";
static char __pyx_k_The_0_th_argument_to_geqrf_was_i[] = "The {0}th argument to ?geqrf was invalid";
static char __pyx_k_The_0_th_argument_to_ormqr_unmqr[] = "The {0}th argument to ?ormqr/?unmqr was invalid";
static char __pyx_k_Unable_to_allocate_memory_for_ar[] = "Unable to allocate memory for array.";
static char __pyx_k_Update_rank_larger_than_np_dot_Q[] = "Update rank larger than np.dot(Q, R).";
static char __pyx_k_array_must_not_contain_infs_or_N[] = "array must not contain infs or NaNs";
static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_q_and_u_must_be_a_blas_compatibl[] = "q and u must be a blas compatible type: f d F or D";
static char __pyx_k_q_must_be_either_F_or_C_contiguo[] = "q must be either F or C contiguous";
static char __pyx_k_u_and_v_must_have_the_same_numbe[] = "u and v must have the same number of dimensions";
static char __pyx_k_u_must_have_the_same_type_as_Q_2[] = "'u' must have the same type as Q and R";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static char __pyx_k_Unable_to_allocate_memory_for_ar_2[] = "Unable to allocate memory for array";
static PyObject *__pyx_kp_s_Expected_M_M_M_N_or_M_N_N_N_but;
static PyObject *__pyx_n_s_F;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Input_array_too_large_for_use_wi;
static PyObject *__pyx_kp_s_Inputs_must_be_arrays;
static PyObject *__pyx_n_s_LinAlgError;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_kp_s_One_of_the_columns_of_u_lies_in;
static PyObject *__pyx_kp_s_Only_arrays_with_dtypes_float32;
static PyObject *__pyx_n_s_Q;
static PyObject *__pyx_kp_u_QR_downdate_on_row_or_column_de;
static PyObject *__pyx_kp_u_QR_update_on_row_or_column_inse;
static PyObject *__pyx_kp_s_Q_and_R_do_not_have_compatible_s;
static PyObject *__pyx_kp_s_Q_and_R_must_be_2_D;
static PyObject *__pyx_kp_s_Q_and_R_must_have_the_same_dtype;
static PyObject *__pyx_n_s_R;
static PyObject *__pyx_kp_u_Rank_k_QR_update_If_A_Q_R_is_th;
static PyObject *__pyx_kp_s_Reorthogonalization_Failed_unabl;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_kp_s_Second_dimension_of_u_and_v_must;
static PyObject *__pyx_kp_s_Shape_of_u_is_incorrect_should_b;
static PyObject *__pyx_n_s_T;
static PyObject *__pyx_kp_s_The_0_th_argument_to_geqrf_was_i;
static PyObject *__pyx_kp_s_The_0_th_argument_to_ormqr_unmqr;
static PyObject *__pyx_kp_s_Unable_to_allocate_memory_for_ar;
static PyObject *__pyx_kp_s_Unable_to_allocate_memory_for_ar_2;
static PyObject *__pyx_kp_s_Update_rank_larger_than_np_dot_Q;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_all_2;
static PyObject *__pyx_kp_s_array_must_not_contain_infs_or_N;
static PyObject *__pyx_n_s_b;
static PyObject *__pyx_n_s_check_finite;
static PyObject *__pyx_n_s_col;
static PyObject *__pyx_n_s_conj;
static PyObject *__pyx_n_s_conjugate;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_delete;
static PyObject *__pyx_n_s_dot;
static PyObject *__pyx_n_s_drc;
static PyObject *__pyx_n_s_economic;
static PyObject *__pyx_n_s_form_qTu;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_frc;
static PyObject *__pyx_kp_s_home_br_repos_scipy_scipy_linal;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_info;
static PyObject *__pyx_n_s_insert;
static PyObject *__pyx_n_s_intp;
static PyObject *__pyx_n_s_isfinite;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_k1;
static PyObject *__pyx_kp_s_k_is_out_of_bounds;
static PyObject *__pyx_n_s_length;
static PyObject *__pyx_n_s_linalg;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_norm;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_numpy_linalg;
static PyObject *__pyx_n_s_o;
static PyObject *__pyx_n_s_ones;
static PyObject *__pyx_n_s_overwrite_qr;
static PyObject *__pyx_n_s_overwrite_qru;
static PyObject *__pyx_n_s_overwrite_qruv;
static PyObject *__pyx_n_s_p;
static PyObject *__pyx_n_s_p1;
static PyObject *__pyx_n_s_p_eco;
static PyObject *__pyx_n_s_p_full;
static PyObject *__pyx_kp_s_p_is_out_of_range;
static PyObject *__pyx_n_s_q;
static PyObject *__pyx_n_s_q1;
static PyObject *__pyx_n_s_qTu;
static PyObject *__pyx_n_s_qTuptr;
static PyObject *__pyx_n_s_qTus;
static PyObject *__pyx_n_s_qTuvoid;
static PyObject *__pyx_kp_s_q_and_u_must_be_a_blas_compatibl;
static PyObject *__pyx_kp_s_q_and_u_must_have_the_same_type;
static PyObject *__pyx_n_s_q_flags;
static PyObject *__pyx_kp_s_q_must_be_2d;
static PyObject *__pyx_kp_s_q_must_be_either_F_or_C_contiguo;
static PyObject *__pyx_kp_s_q_must_be_one_segment;
static PyObject *__pyx_n_s_qisF;
static PyObject *__pyx_n_s_qnew;
static PyObject *__pyx_n_s_qp;
static PyObject *__pyx_n_s_qptr;
static PyObject *__pyx_n_s_qr_delete;
static PyObject *__pyx_kp_u_qr_delete_line_1501;
static PyObject *__pyx_n_s_qr_insert;
static PyObject *__pyx_n_s_qr_insert_col;
static PyObject *__pyx_kp_u_qr_insert_line_1743;
static PyObject *__pyx_n_s_qr_insert_row;
static PyObject *__pyx_n_s_qr_update;
static PyObject *__pyx_kp_u_qr_update_line_2200;
static PyObject *__pyx_n_s_qs;
static PyObject *__pyx_n_s_r1;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_ravel;
static PyObject *__pyx_n_s_rc_d;
static PyObject *__pyx_n_s_rc_f;
static PyObject *__pyx_n_s_rcond;
static PyObject *__pyx_kp_s_rcond_is_not_used_when_updating;
static PyObject *__pyx_kp_s_rcond_is_unused_when_inserting;
static PyObject *__pyx_n_s_reorth;
static PyObject *__pyx_n_s_rnew;
static PyObject *__pyx_n_s_row;
static PyObject *__pyx_n_s_rptr;
static PyObject *__pyx_n_s_rs;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_scipy_linalg__decomp_update;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_sp;
static PyObject *__pyx_n_s_sptr;
static PyObject *__pyx_n_s_ss;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_typecode;
static PyObject *__pyx_n_s_u;
static PyObject *__pyx_n_s_u1;
static PyObject *__pyx_kp_s_u_and_v_must_have_the_same_numbe;
static PyObject *__pyx_kp_s_u_and_v_must_have_the_same_type;
static PyObject *__pyx_n_s_u_flags;
static PyObject *__pyx_kp_s_u_must_be_1d;
static PyObject *__pyx_kp_s_u_must_be_either_1_or_2_D;
static PyObject *__pyx_kp_s_u_must_be_either_1_or_2_D_2;
static PyObject *__pyx_kp_s_u_must_have_the_same_type_as_Q;
static PyObject *__pyx_kp_s_u_must_have_the_same_type_as_Q_2;
static PyObject *__pyx_kp_s_u_shape_0_must_be_q_shape_0;
static PyObject *__pyx_kp_s_u_shape_0_must_equal_Q_shape_0;
static PyObject *__pyx_kp_s_u_should_be_either_M_or_M_p_whe;
static PyObject *__pyx_kp_s_u_should_be_either_N_or_p_N_whe;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_up;
static PyObject *__pyx_n_s_uptr;
static PyObject *__pyx_n_s_us;
static PyObject *__pyx_n_s_uv_flags;
static PyObject *__pyx_n_s_v;
static PyObject *__pyx_n_s_v1;
static PyObject *__pyx_kp_s_v_must_be_either_1_or_2_D;
static PyObject *__pyx_kp_s_v_shape_0_must_equal_R_shape_1;
static PyObject *__pyx_n_s_vptr;
static PyObject *__pyx_n_s_vs;
static PyObject *__pyx_n_s_which;
static PyObject *__pyx_kp_s_which_must_be_either_row_or_col;
static PyObject *__pyx_pf_5scipy_6linalg_14_decomp_update__reorth(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_q, PyArrayObject *__pyx_v_u, PyObject *__pyx_v_rcond); /* proto */
static PyObject *__pyx_pf_5scipy_6linalg_14_decomp_update_2_form_qTu(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_a, PyObject *__pyx_v_b); /* proto */
static PyObject *__pyx_pf_5scipy_6linalg_14_decomp_update_4qr_delete(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_Q, PyObject *__pyx_v_R, PyObject *__pyx_v_k, PyObject *__pyx_v_p, PyObject *__pyx_v_which, PyObject *__pyx_v_overwrite_qr, PyObject *__pyx_v_check_finite); /* proto */
static PyObject *__pyx_pf_5scipy_6linalg_14_decomp_update_6qr_insert(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_Q, PyObject *__pyx_v_R, PyObject *__pyx_v_u, PyObject *__pyx_v_k, PyObject *__pyx_v_which, PyObject *__pyx_v_rcond, PyObject *__pyx_v_overwrite_qru, PyObject *__pyx_v_check_finite); /* proto */
static PyObject *__pyx_pf_5scipy_6linalg_14_decomp_update_8qr_insert_row(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_Q, PyObject *__pyx_v_R, PyObject *__pyx_v_u, PyObject *__pyx_v_k, PyObject *__pyx_v_overwrite_qru, PyObject *__pyx_v_check_finite); /* proto */
static PyObject *__pyx_pf_5scipy_6linalg_14_decomp_update_10qr_insert_col(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_Q, PyObject *__pyx_v_R, PyObject *__pyx_v_u, PyObject *__pyx_v_k, PyObject *__pyx_v_rcond, PyObject *__pyx_v_overwrite_qru, PyObject *__pyx_v_check_finite); /* proto */
static PyObject *__pyx_pf_5scipy_6linalg_14_decomp_update_12qr_update(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_Q, PyObject *__pyx_v_R, PyObject *__pyx_v_u, PyObject *__pyx_v_v, PyObject *__pyx_v_overwrite_qruv, PyObject *__pyx_v_check_finite); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__3;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__9;
static PyObject *__pyx_slice__19;
static PyObject *__pyx_slice__22;
static PyObject *__pyx_slice__26;
static PyObject *__pyx_slice__27;
static PyObject *__pyx_slice__34;
static PyObject *__pyx_slice__35;
static PyObject *__pyx_slice__36;
static PyObject *__pyx_slice__42;
static PyObject *__pyx_slice__43;
static PyObject *__pyx_slice__44;
static PyObject *__pyx_slice__45;
static PyObject *__pyx_slice__46;
static PyObject *__pyx_slice__47;
static PyObject *__pyx_slice__48;
static PyObject *__pyx_slice__58;
static PyObject *__pyx_slice__60;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__11;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__13;
static PyObject *__pyx_tuple__14;
static PyObject *__pyx_tuple__15;
static PyObject *__pyx_tuple__16;
static PyObject *__pyx_tuple__17;
static PyObject *__pyx_tuple__18;
static PyObject *__pyx_tuple__20;
static PyObject *__pyx_tuple__21;
static PyObject *__pyx_tuple__23;
static PyObject *__pyx_tuple__24;
static PyObject *__pyx_tuple__25;
static PyObject *__pyx_tuple__28;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__30;
static PyObject *__pyx_tuple__31;
static PyObject *__pyx_tuple__32;
static PyObject *__pyx_tuple__33;
static PyObject *__pyx_tuple__37;
static PyObject *__pyx_tuple__38;
static PyObject *__pyx_tuple__39;
static PyObject *__pyx_tuple__40;
static PyObject *__pyx_tuple__41;
static PyObject *__pyx_tuple__49;
static PyObject *__pyx_tuple__50;
static PyObject *__pyx_tuple__51;
static PyObject *__pyx_tuple__52;
static PyObject *__pyx_tuple__53;
static PyObject *__pyx_tuple__54;
static PyObject *__pyx_tuple__55;
static PyObject *__pyx_tuple__56;
static PyObject *__pyx_tuple__57;
static PyObject *__pyx_tuple__59;
static PyObject *__pyx_tuple__61;
static PyObject *__pyx_tuple__62;
static PyObject *__pyx_tuple__63;
static PyObject *__pyx_tuple__64;
static PyObject *__pyx_tuple__65;
static PyObject *__pyx_tuple__66;
static PyObject *__pyx_tuple__67;
static PyObject *__pyx_tuple__68;
static PyObject *__pyx_tuple__69;
static PyObject *__pyx_tuple__70;
static PyObject *__pyx_tuple__72;
static PyObject *__pyx_tuple__74;
static PyObject *__pyx_tuple__76;
static PyObject *__pyx_tuple__78;
static PyObject *__pyx_tuple__80;
static PyObject *__pyx_tuple__82;
static PyObject *__pyx_codeobj__71;
static PyObject *__pyx_codeobj__73;
static PyObject *__pyx_codeobj__75;
static PyObject *__pyx_codeobj__77;
static PyObject *__pyx_codeobj__79;
static PyObject *__pyx_codeobj__81;
static PyObject *__pyx_codeobj__83;

/* "scipy/linalg/_decomp_update.pyx":78
 *     double_complex
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0] + j*as[1]
 * 
 */

static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(float *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i, int __pyx_v_j) {
  float *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":79
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:
 *     return a + i*as[0] + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = ((__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0]))) + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":78
 *     double_complex
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0] + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(double *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i, int __pyx_v_j) {
  double *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":79
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:
 *     return a + i*as[0] + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = ((__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0]))) + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":78
 *     double_complex
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0] + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_t_float_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i, int __pyx_v_j) {
  __pyx_t_float_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":79
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:
 *     return a + i*as[0] + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = ((__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0]))) + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":78
 *     double_complex
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0] + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_t_double_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i, int __pyx_v_j) {
  __pyx_t_double_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":79
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:
 *     return a + i*as[0] + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = ((__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0]))) + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":78
 *     double_complex
 * 
 * cdef inline blas_t* index2(blas_t* a, int* as, int i, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0] + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":81
 *     return a + i*as[0] + j*as[1]
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(float *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  float *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":82
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":81
 *     return a + i*as[0] + j*as[1]
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(double *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  double *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":82
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":81
 *     return a + i*as[0] + j*as[1]
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_t_float_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  __pyx_t_float_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":82
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":81
 *     return a + i*as[0] + j*as[1]
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_t_double_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  __pyx_t_double_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":82
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":81
 *     return a + i*as[0] + j*as[1]
 * 
 * cdef inline blas_t* index1(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":84
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(float *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  float *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":85
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":84
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(double *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  double *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":85
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":84
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_t_float_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  __pyx_t_float_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":85
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":84
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_t_double_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_i) {
  __pyx_t_double_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":85
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:
 *     return a + i*as[0]             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_i * (__pyx_v_as[0])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":84
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* row(blas_t* a, int* as, int i) nogil:             # <<<<<<<<<<<<<<
 *     return a + i*as[0]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":87
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + j*as[1]
 * 
 */

static CYTHON_INLINE float *__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(float *__pyx_v_a, int *__pyx_v_as, int __pyx_v_j) {
  float *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":88
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 *     return a + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":87
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE double *__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(double *__pyx_v_a, int *__pyx_v_as, int __pyx_v_j) {
  double *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":88
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 *     return a + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":87
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_float_complex *__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_t_float_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_j) {
  __pyx_t_float_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":88
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 *     return a + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":87
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_double_complex *__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_t_double_complex *__pyx_v_a, int *__pyx_v_as, int __pyx_v_j) {
  __pyx_t_double_complex *__pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":88
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:
 *     return a + j*as[1]             # <<<<<<<<<<<<<<
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:
 */
  __pyx_r = (__pyx_v_a + (__pyx_v_j * (__pyx_v_as[1])));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":87
 *     return a + i*as[0]
 * 
 * cdef inline blas_t* col(blas_t* a, int* as, int j) nogil:             # <<<<<<<<<<<<<<
 *     return a + j*as[1]
 * 
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":90
 *     return a + j*as[1]
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.scopy(&n, x, &incx, y, &incy)
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(int __pyx_v_n, float *__pyx_v_x, int __pyx_v_incx, float *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":92
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 *         blas_pointers.scopy(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         blas_pointers.dcopy(&n, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_scopy((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":90
 *     return a + j*as[1]
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.scopy(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(int __pyx_v_n, double *__pyx_v_x, int __pyx_v_incx, double *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":94
 *         blas_pointers.scopy(&n, x, &incx, y, &incy)
 *     elif blas_t is double:
 *         blas_pointers.dcopy(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         blas_pointers.ccopy(&n, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_dcopy((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":90
 *     return a + j*as[1]
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.scopy(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(int __pyx_v_n, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_float_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":96
 *         blas_pointers.dcopy(&n, x, &incx, y, &incy)
 *     elif blas_t is float_complex:
 *         blas_pointers.ccopy(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zcopy(&n, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_ccopy((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":90
 *     return a + j*as[1]
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.scopy(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(int __pyx_v_n, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_double_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":98
 *         blas_pointers.ccopy(&n, x, &incx, y, &incy)
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zcopy(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void swap(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zcopy((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":90
 *     return a + j*as[1]
 * 
 * cdef inline void copy(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.scopy(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":100
 *         blas_pointers.zcopy(&n, x, &incx, y, &incy)
 * 
 * cdef inline void swap(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sswap(&n, x, &incx, y, &incy)
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_swap(int __pyx_v_n, float *__pyx_v_x, int __pyx_v_incx, float *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":102
 * cdef inline void swap(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 *         blas_pointers.sswap(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         blas_pointers.dswap(&n, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_sswap((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":100
 *         blas_pointers.zcopy(&n, x, &incx, y, &incy)
 * 
 * cdef inline void swap(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sswap(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_swap(int __pyx_v_n, double *__pyx_v_x, int __pyx_v_incx, double *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":104
 *         blas_pointers.sswap(&n, x, &incx, y, &incy)
 *     elif blas_t is double:
 *         blas_pointers.dswap(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         blas_pointers.cswap(&n, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_dswap((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":100
 *         blas_pointers.zcopy(&n, x, &incx, y, &incy)
 * 
 * cdef inline void swap(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sswap(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_swap(int __pyx_v_n, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_float_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":106
 *         blas_pointers.dswap(&n, x, &incx, y, &incy)
 *     elif blas_t is float_complex:
 *         blas_pointers.cswap(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zswap(&n, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_cswap((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":100
 *         blas_pointers.zcopy(&n, x, &incx, y, &incy)
 * 
 * cdef inline void swap(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sswap(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_swap(int __pyx_v_n, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_double_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":108
 *         blas_pointers.cswap(&n, x, &incx, y, &incy)
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zswap(&n, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void scal(int n, blas_t a, blas_t* x, int incx) nogil:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zswap((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":100
 *         blas_pointers.zcopy(&n, x, &incx, y, &incy)
 * 
 * cdef inline void swap(int n, blas_t* x, int incx, blas_t* y, int incy) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sswap(&n, x, &incx, y, &incy)
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":110
 *         blas_pointers.zswap(&n, x, &incx, y, &incy)
 * 
 * cdef inline void scal(int n, blas_t a, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sscal(&n, &a, x, &incx)
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(int __pyx_v_n, float __pyx_v_a, float *__pyx_v_x, int __pyx_v_incx) {

  /* "scipy/linalg/_decomp_update.pyx":112
 * cdef inline void scal(int n, blas_t a, blas_t* x, int incx) nogil:
 *     if blas_t is float:
 *         blas_pointers.sscal(&n, &a, x, &incx)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         blas_pointers.dscal(&n, &a, x, &incx)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_sscal((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx));

  /* "scipy/linalg/_decomp_update.pyx":110
 *         blas_pointers.zswap(&n, x, &incx, y, &incy)
 * 
 * cdef inline void scal(int n, blas_t a, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sscal(&n, &a, x, &incx)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(int __pyx_v_n, double __pyx_v_a, double *__pyx_v_x, int __pyx_v_incx) {

  /* "scipy/linalg/_decomp_update.pyx":114
 *         blas_pointers.sscal(&n, &a, x, &incx)
 *     elif blas_t is double:
 *         blas_pointers.dscal(&n, &a, x, &incx)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         blas_pointers.cscal(&n, &a, x, &incx)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_dscal((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx));

  /* "scipy/linalg/_decomp_update.pyx":110
 *         blas_pointers.zswap(&n, x, &incx, y, &incy)
 * 
 * cdef inline void scal(int n, blas_t a, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sscal(&n, &a, x, &incx)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(int __pyx_v_n, __pyx_t_float_complex __pyx_v_a, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx) {

  /* "scipy/linalg/_decomp_update.pyx":116
 *         blas_pointers.dscal(&n, &a, x, &incx)
 *     elif blas_t is float_complex:
 *         blas_pointers.cscal(&n, &a, x, &incx)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zscal(&n, &a, x, &incx)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_cscal((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx));

  /* "scipy/linalg/_decomp_update.pyx":110
 *         blas_pointers.zswap(&n, x, &incx, y, &incy)
 * 
 * cdef inline void scal(int n, blas_t a, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sscal(&n, &a, x, &incx)
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(int __pyx_v_n, __pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx) {

  /* "scipy/linalg/_decomp_update.pyx":118
 *         blas_pointers.cscal(&n, &a, x, &incx)
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zscal(&n, &a, x, &incx)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void axpy(int n, blas_t a, blas_t* x, int incx,
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zscal((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx));

  /* "scipy/linalg/_decomp_update.pyx":110
 *         blas_pointers.zswap(&n, x, &incx, y, &incy)
 * 
 * cdef inline void scal(int n, blas_t a, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         blas_pointers.sscal(&n, &a, x, &incx)
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":120
 *         blas_pointers.zscal(&n, &a, x, &incx)
 * 
 * cdef inline void axpy(int n, blas_t a, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                       blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int __pyx_v_n, float __pyx_v_a, float *__pyx_v_x, int __pyx_v_incx, float *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":123
 *                       blas_t* y, int incy) nogil:
 *     if blas_t is float:
 *         blas_pointers.saxpy(&n, &a, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         blas_pointers.daxpy(&n, &a, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_saxpy((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":120
 *         blas_pointers.zscal(&n, &a, x, &incx)
 * 
 * cdef inline void axpy(int n, blas_t a, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                       blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int __pyx_v_n, double __pyx_v_a, double *__pyx_v_x, int __pyx_v_incx, double *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":125
 *         blas_pointers.saxpy(&n, &a, x, &incx, y, &incy)
 *     elif blas_t is double:
 *         blas_pointers.daxpy(&n, &a, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         blas_pointers.caxpy(&n, &a, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_daxpy((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":120
 *         blas_pointers.zscal(&n, &a, x, &incx)
 * 
 * cdef inline void axpy(int n, blas_t a, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                       blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int __pyx_v_n, __pyx_t_float_complex __pyx_v_a, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_float_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":127
 *         blas_pointers.daxpy(&n, &a, x, &incx, y, &incy)
 *     elif blas_t is float_complex:
 *         blas_pointers.caxpy(&n, &a, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zaxpy(&n, &a, x, &incx, y, &incy)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_caxpy((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":120
 *         blas_pointers.zscal(&n, &a, x, &incx)
 * 
 * cdef inline void axpy(int n, blas_t a, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                       blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(int __pyx_v_n, __pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_double_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":129
 *         blas_pointers.caxpy(&n, &a, x, &incx, y, &incy)
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zaxpy(&n, &a, x, &incx, y, &incy)             # <<<<<<<<<<<<<<
 * 
 * cdef inline blas_t nrm2(int n, blas_t* x, int incx) nogil:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zaxpy((&__pyx_v_n), (&__pyx_v_a), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":120
 *         blas_pointers.zscal(&n, &a, x, &incx)
 * 
 * cdef inline void axpy(int n, blas_t a, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                       blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":131
 *         blas_pointers.zaxpy(&n, &a, x, &incx, y, &incy)
 * 
 * cdef inline blas_t nrm2(int n, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return blas_pointers.snrm2(&n, x, &incx)
 */

static CYTHON_INLINE float __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int __pyx_v_n, float *__pyx_v_x, int __pyx_v_incx) {
  float __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":133
 * cdef inline blas_t nrm2(int n, blas_t* x, int incx) nogil:
 *     if blas_t is float:
 *         return blas_pointers.snrm2(&n, x, &incx)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         return blas_pointers.dnrm2(&n, x, &incx)
 */
  __pyx_r = __pyx_f_5scipy_6linalg_11cython_blas_snrm2((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":131
 *         blas_pointers.zaxpy(&n, &a, x, &incx, y, &incy)
 * 
 * cdef inline blas_t nrm2(int n, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return blas_pointers.snrm2(&n, x, &incx)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE double __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int __pyx_v_n, double *__pyx_v_x, int __pyx_v_incx) {
  double __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":135
 *         return blas_pointers.snrm2(&n, x, &incx)
 *     elif blas_t is double:
 *         return blas_pointers.dnrm2(&n, x, &incx)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         return blas_pointers.scnrm2(&n, x, &incx)
 */
  __pyx_r = __pyx_f_5scipy_6linalg_11cython_blas_dnrm2((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":131
 *         blas_pointers.zaxpy(&n, &a, x, &incx, y, &incy)
 * 
 * cdef inline blas_t nrm2(int n, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return blas_pointers.snrm2(&n, x, &incx)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_float_complex __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int __pyx_v_n, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx) {
  __pyx_t_float_complex __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":137
 *         return blas_pointers.dnrm2(&n, x, &incx)
 *     elif blas_t is float_complex:
 *         return blas_pointers.scnrm2(&n, x, &incx)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         return blas_pointers.dznrm2(&n, x, &incx)
 */
  __pyx_r = __pyx_t_float_complex_from_parts(__pyx_f_5scipy_6linalg_11cython_blas_scnrm2((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx)), 0);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":131
 *         blas_pointers.zaxpy(&n, &a, x, &incx, y, &incy)
 * 
 * cdef inline blas_t nrm2(int n, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return blas_pointers.snrm2(&n, x, &incx)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE __pyx_t_double_complex __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(int __pyx_v_n, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx) {
  __pyx_t_double_complex __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":139
 *         return blas_pointers.scnrm2(&n, x, &incx)
 *     else:  # blas_t is double_complex:
 *         return blas_pointers.dznrm2(&n, x, &incx)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void lartg(blas_t* a, blas_t* b, blas_t* c, blas_t* s) nogil:
 */
  __pyx_r = __pyx_t_double_complex_from_parts(__pyx_f_5scipy_6linalg_11cython_blas_dznrm2((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx)), 0);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":131
 *         blas_pointers.zaxpy(&n, &a, x, &incx, y, &incy)
 * 
 * cdef inline blas_t nrm2(int n, blas_t* x, int incx) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return blas_pointers.snrm2(&n, x, &incx)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":141
 *         return blas_pointers.dznrm2(&n, x, &incx)
 * 
 * cdef inline void lartg(blas_t* a, blas_t* b, blas_t* c, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     cdef blas_t g
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(float *__pyx_v_a, float *__pyx_v_b, float *__pyx_v_c, float *__pyx_v_s) {
  float __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":144
 *     cdef blas_t g
 *     if blas_t is float:
 *         lapack_pointers.slartg(a, b, c, s, &g)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         lapack_pointers.dlartg(a, b, c, s, &g)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_slartg(__pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_s, (&__pyx_v_g));

  /* "scipy/linalg/_decomp_update.pyx":154
 *         lapack_pointers.zlartg(a, b, <double*>c, s, &g)
 *     # make this function more like the BLAS drotg
 *     a[0] = g             # <<<<<<<<<<<<<<
 *     b[0] = 0
 * 
 */
  (__pyx_v_a[0]) = __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":155
 *     # make this function more like the BLAS drotg
 *     a[0] = g
 *     b[0] = 0             # <<<<<<<<<<<<<<
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,
 */
  (__pyx_v_b[0]) = 0.0;

  /* "scipy/linalg/_decomp_update.pyx":141
 *         return blas_pointers.dznrm2(&n, x, &incx)
 * 
 * cdef inline void lartg(blas_t* a, blas_t* b, blas_t* c, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     cdef blas_t g
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(double *__pyx_v_a, double *__pyx_v_b, double *__pyx_v_c, double *__pyx_v_s) {
  double __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":146
 *         lapack_pointers.slartg(a, b, c, s, &g)
 *     elif blas_t is double:
 *         lapack_pointers.dlartg(a, b, c, s, &g)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         c[0] = 0. # init imag
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_dlartg(__pyx_v_a, __pyx_v_b, __pyx_v_c, __pyx_v_s, (&__pyx_v_g));

  /* "scipy/linalg/_decomp_update.pyx":154
 *         lapack_pointers.zlartg(a, b, <double*>c, s, &g)
 *     # make this function more like the BLAS drotg
 *     a[0] = g             # <<<<<<<<<<<<<<
 *     b[0] = 0
 * 
 */
  (__pyx_v_a[0]) = __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":155
 *     # make this function more like the BLAS drotg
 *     a[0] = g
 *     b[0] = 0             # <<<<<<<<<<<<<<
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,
 */
  (__pyx_v_b[0]) = 0.0;

  /* "scipy/linalg/_decomp_update.pyx":141
 *         return blas_pointers.dznrm2(&n, x, &incx)
 * 
 * cdef inline void lartg(blas_t* a, blas_t* b, blas_t* c, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     cdef blas_t g
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_t_float_complex *__pyx_v_a, __pyx_t_float_complex *__pyx_v_b, __pyx_t_float_complex *__pyx_v_c, __pyx_t_float_complex *__pyx_v_s) {
  __pyx_t_float_complex __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":148
 *         lapack_pointers.dlartg(a, b, c, s, &g)
 *     elif blas_t is float_complex:
 *         c[0] = 0. # init imag             # <<<<<<<<<<<<<<
 *         lapack_pointers.clartg(a, b, <float*>c, s, &g)
 *     else:
 */
  (__pyx_v_c[0]) = __pyx_t_float_complex_from_parts(0., 0);

  /* "scipy/linalg/_decomp_update.pyx":149
 *     elif blas_t is float_complex:
 *         c[0] = 0. # init imag
 *         lapack_pointers.clartg(a, b, <float*>c, s, &g)             # <<<<<<<<<<<<<<
 *     else:
 *         c[0] = 0. # init imag
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_clartg(__pyx_v_a, __pyx_v_b, ((float *)__pyx_v_c), __pyx_v_s, (&__pyx_v_g));

  /* "scipy/linalg/_decomp_update.pyx":154
 *         lapack_pointers.zlartg(a, b, <double*>c, s, &g)
 *     # make this function more like the BLAS drotg
 *     a[0] = g             # <<<<<<<<<<<<<<
 *     b[0] = 0
 * 
 */
  (__pyx_v_a[0]) = __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":155
 *     # make this function more like the BLAS drotg
 *     a[0] = g
 *     b[0] = 0             # <<<<<<<<<<<<<<
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,
 */
  (__pyx_v_b[0]) = __pyx_t_float_complex_from_parts(0, 0);

  /* "scipy/linalg/_decomp_update.pyx":141
 *         return blas_pointers.dznrm2(&n, x, &incx)
 * 
 * cdef inline void lartg(blas_t* a, blas_t* b, blas_t* c, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     cdef blas_t g
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_t_double_complex *__pyx_v_a, __pyx_t_double_complex *__pyx_v_b, __pyx_t_double_complex *__pyx_v_c, __pyx_t_double_complex *__pyx_v_s) {
  __pyx_t_double_complex __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":151
 *         lapack_pointers.clartg(a, b, <float*>c, s, &g)
 *     else:
 *         c[0] = 0. # init imag             # <<<<<<<<<<<<<<
 *         lapack_pointers.zlartg(a, b, <double*>c, s, &g)
 *     # make this function more like the BLAS drotg
 */
  (__pyx_v_c[0]) = __pyx_t_double_complex_from_parts(0., 0);

  /* "scipy/linalg/_decomp_update.pyx":152
 *     else:
 *         c[0] = 0. # init imag
 *         lapack_pointers.zlartg(a, b, <double*>c, s, &g)             # <<<<<<<<<<<<<<
 *     # make this function more like the BLAS drotg
 *     a[0] = g
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_zlartg(__pyx_v_a, __pyx_v_b, ((double *)__pyx_v_c), __pyx_v_s, (&__pyx_v_g));

  /* "scipy/linalg/_decomp_update.pyx":154
 *         lapack_pointers.zlartg(a, b, <double*>c, s, &g)
 *     # make this function more like the BLAS drotg
 *     a[0] = g             # <<<<<<<<<<<<<<
 *     b[0] = 0
 * 
 */
  (__pyx_v_a[0]) = __pyx_v_g;

  /* "scipy/linalg/_decomp_update.pyx":155
 *     # make this function more like the BLAS drotg
 *     a[0] = g
 *     b[0] = 0             # <<<<<<<<<<<<<<
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,
 */
  (__pyx_v_b[0]) = __pyx_t_double_complex_from_parts(0, 0);

  /* "scipy/linalg/_decomp_update.pyx":141
 *         return blas_pointers.dznrm2(&n, x, &incx)
 * 
 * cdef inline void lartg(blas_t* a, blas_t* b, blas_t* c, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     cdef blas_t g
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":157
 *     b[0] = 0
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,             # <<<<<<<<<<<<<<
 *                      blas_t c, blas_t s) nogil:
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(int __pyx_v_n, float *__pyx_v_x, int __pyx_v_incx, float *__pyx_v_y, int __pyx_v_incy, float __pyx_v_c, float __pyx_v_s) {

  /* "scipy/linalg/_decomp_update.pyx":160
 *                      blas_t c, blas_t s) nogil:
 *     if blas_t is float:
 *         blas_pointers.srot(&n, x, &incx, y, &incy, &c, &s)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         blas_pointers.drot(&n, x, &incx, y, &incy, &c, &s)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_srot((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), (&__pyx_v_c), (&__pyx_v_s));

  /* "scipy/linalg/_decomp_update.pyx":157
 *     b[0] = 0
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,             # <<<<<<<<<<<<<<
 *                      blas_t c, blas_t s) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(int __pyx_v_n, double *__pyx_v_x, int __pyx_v_incx, double *__pyx_v_y, int __pyx_v_incy, double __pyx_v_c, double __pyx_v_s) {

  /* "scipy/linalg/_decomp_update.pyx":162
 *         blas_pointers.srot(&n, x, &incx, y, &incy, &c, &s)
 *     elif blas_t is double:
 *         blas_pointers.drot(&n, x, &incx, y, &incy, &c, &s)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         lapack_pointers.crot(&n, x, &incx, y, &incy, <float*>&c, &s)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_drot((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), (&__pyx_v_c), (&__pyx_v_s));

  /* "scipy/linalg/_decomp_update.pyx":157
 *     b[0] = 0
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,             # <<<<<<<<<<<<<<
 *                      blas_t c, blas_t s) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(int __pyx_v_n, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_float_complex *__pyx_v_y, int __pyx_v_incy, __pyx_t_float_complex __pyx_v_c, __pyx_t_float_complex __pyx_v_s) {

  /* "scipy/linalg/_decomp_update.pyx":164
 *         blas_pointers.drot(&n, x, &incx, y, &incy, &c, &s)
 *     elif blas_t is float_complex:
 *         lapack_pointers.crot(&n, x, &incx, y, &incy, <float*>&c, &s)             # <<<<<<<<<<<<<<
 *     else:
 *         lapack_pointers.zrot(&n, x, &incx, y, &incy, <double*>&c, &s)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_crot((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), ((float *)(&__pyx_v_c)), (&__pyx_v_s));

  /* "scipy/linalg/_decomp_update.pyx":157
 *     b[0] = 0
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,             # <<<<<<<<<<<<<<
 *                      blas_t c, blas_t s) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(int __pyx_v_n, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_double_complex *__pyx_v_y, int __pyx_v_incy, __pyx_t_double_complex __pyx_v_c, __pyx_t_double_complex __pyx_v_s) {

  /* "scipy/linalg/_decomp_update.pyx":166
 *         lapack_pointers.crot(&n, x, &incx, y, &incy, <float*>&c, &s)
 *     else:
 *         lapack_pointers.zrot(&n, x, &incx, y, &incy, <double*>&c, &s)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void larfg(int n, blas_t* alpha, blas_t* x, int incx,
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_zrot((&__pyx_v_n), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), ((double *)(&__pyx_v_c)), (&__pyx_v_s));

  /* "scipy/linalg/_decomp_update.pyx":157
 *     b[0] = 0
 * 
 * cdef inline void rot(int n, blas_t* x, int incx, blas_t* y, int incy,             # <<<<<<<<<<<<<<
 *                      blas_t c, blas_t s) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":168
 *         lapack_pointers.zrot(&n, x, &incx, y, &incy, <double*>&c, &s)
 * 
 * cdef inline void larfg(int n, blas_t* alpha, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                        blas_t* tau) nogil:
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int __pyx_v_n, float *__pyx_v_alpha, float *__pyx_v_x, int __pyx_v_incx, float *__pyx_v_tau) {

  /* "scipy/linalg/_decomp_update.pyx":171
 *                        blas_t* tau) nogil:
 *     if blas_t is float:
 *         lapack_pointers.slarfg(&n, alpha, x, &incx, tau)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         lapack_pointers.dlarfg(&n, alpha, x, &incx, tau)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_slarfg((&__pyx_v_n), __pyx_v_alpha, __pyx_v_x, (&__pyx_v_incx), __pyx_v_tau);

  /* "scipy/linalg/_decomp_update.pyx":168
 *         lapack_pointers.zrot(&n, x, &incx, y, &incy, <double*>&c, &s)
 * 
 * cdef inline void larfg(int n, blas_t* alpha, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                        blas_t* tau) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int __pyx_v_n, double *__pyx_v_alpha, double *__pyx_v_x, int __pyx_v_incx, double *__pyx_v_tau) {

  /* "scipy/linalg/_decomp_update.pyx":173
 *         lapack_pointers.slarfg(&n, alpha, x, &incx, tau)
 *     elif blas_t is double:
 *         lapack_pointers.dlarfg(&n, alpha, x, &incx, tau)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         lapack_pointers.clarfg(&n, alpha, x, &incx, tau)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_dlarfg((&__pyx_v_n), __pyx_v_alpha, __pyx_v_x, (&__pyx_v_incx), __pyx_v_tau);

  /* "scipy/linalg/_decomp_update.pyx":168
 *         lapack_pointers.zrot(&n, x, &incx, y, &incy, <double*>&c, &s)
 * 
 * cdef inline void larfg(int n, blas_t* alpha, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                        blas_t* tau) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int __pyx_v_n, __pyx_t_float_complex *__pyx_v_alpha, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_float_complex *__pyx_v_tau) {

  /* "scipy/linalg/_decomp_update.pyx":175
 *         lapack_pointers.dlarfg(&n, alpha, x, &incx, tau)
 *     elif blas_t is float_complex:
 *         lapack_pointers.clarfg(&n, alpha, x, &incx, tau)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zlarfg(&n, alpha, x, &incx, tau)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_clarfg((&__pyx_v_n), __pyx_v_alpha, __pyx_v_x, (&__pyx_v_incx), __pyx_v_tau);

  /* "scipy/linalg/_decomp_update.pyx":168
 *         lapack_pointers.zrot(&n, x, &incx, y, &incy, <double*>&c, &s)
 * 
 * cdef inline void larfg(int n, blas_t* alpha, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                        blas_t* tau) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larfg(int __pyx_v_n, __pyx_t_double_complex *__pyx_v_alpha, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_double_complex *__pyx_v_tau) {

  /* "scipy/linalg/_decomp_update.pyx":177
 *         lapack_pointers.clarfg(&n, alpha, x, &incx, tau)
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zlarfg(&n, alpha, x, &incx, tau)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void larf(char* side, int m, int n, blas_t* v, int incv, blas_t tau,
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_zlarfg((&__pyx_v_n), __pyx_v_alpha, __pyx_v_x, (&__pyx_v_incx), __pyx_v_tau);

  /* "scipy/linalg/_decomp_update.pyx":168
 *         lapack_pointers.zrot(&n, x, &incx, y, &incy, <double*>&c, &s)
 * 
 * cdef inline void larfg(int n, blas_t* alpha, blas_t* x, int incx,             # <<<<<<<<<<<<<<
 *                        blas_t* tau) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":179
 *         lapack_pointers.zlarfg(&n, alpha, x, &incx, tau)
 * 
 * cdef inline void larf(char* side, int m, int n, blas_t* v, int incv, blas_t tau,             # <<<<<<<<<<<<<<
 *     blas_t* c, int ldc, blas_t* work) nogil:
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *__pyx_v_side, int __pyx_v_m, int __pyx_v_n, float *__pyx_v_v, int __pyx_v_incv, float __pyx_v_tau, float *__pyx_v_c, int __pyx_v_ldc, float *__pyx_v_work) {

  /* "scipy/linalg/_decomp_update.pyx":182
 *     blas_t* c, int ldc, blas_t* work) nogil:
 *     if blas_t is float:
 *         lapack_pointers.slarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         lapack_pointers.dlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_slarf(__pyx_v_side, (&__pyx_v_m), (&__pyx_v_n), __pyx_v_v, (&__pyx_v_incv), (&__pyx_v_tau), __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":179
 *         lapack_pointers.zlarfg(&n, alpha, x, &incx, tau)
 * 
 * cdef inline void larf(char* side, int m, int n, blas_t* v, int incv, blas_t tau,             # <<<<<<<<<<<<<<
 *     blas_t* c, int ldc, blas_t* work) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *__pyx_v_side, int __pyx_v_m, int __pyx_v_n, double *__pyx_v_v, int __pyx_v_incv, double __pyx_v_tau, double *__pyx_v_c, int __pyx_v_ldc, double *__pyx_v_work) {

  /* "scipy/linalg/_decomp_update.pyx":184
 *         lapack_pointers.slarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 *     elif blas_t is double:
 *         lapack_pointers.dlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         lapack_pointers.clarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_dlarf(__pyx_v_side, (&__pyx_v_m), (&__pyx_v_n), __pyx_v_v, (&__pyx_v_incv), (&__pyx_v_tau), __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":179
 *         lapack_pointers.zlarfg(&n, alpha, x, &incx, tau)
 * 
 * cdef inline void larf(char* side, int m, int n, blas_t* v, int incv, blas_t tau,             # <<<<<<<<<<<<<<
 *     blas_t* c, int ldc, blas_t* work) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *__pyx_v_side, int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_v, int __pyx_v_incv, __pyx_t_float_complex __pyx_v_tau, __pyx_t_float_complex *__pyx_v_c, int __pyx_v_ldc, __pyx_t_float_complex *__pyx_v_work) {

  /* "scipy/linalg/_decomp_update.pyx":186
 *         lapack_pointers.dlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 *     elif blas_t is float_complex:
 *         lapack_pointers.clarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_clarf(__pyx_v_side, (&__pyx_v_m), (&__pyx_v_n), __pyx_v_v, (&__pyx_v_incv), (&__pyx_v_tau), __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":179
 *         lapack_pointers.zlarfg(&n, alpha, x, &incx, tau)
 * 
 * cdef inline void larf(char* side, int m, int n, blas_t* v, int incv, blas_t tau,             # <<<<<<<<<<<<<<
 *     blas_t* c, int ldc, blas_t* work) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larf(char *__pyx_v_side, int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_v, int __pyx_v_incv, __pyx_t_double_complex __pyx_v_tau, __pyx_t_double_complex *__pyx_v_c, int __pyx_v_ldc, __pyx_t_double_complex *__pyx_v_work) {

  /* "scipy/linalg/_decomp_update.pyx":188
 *         lapack_pointers.clarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void ger(int m, int n, blas_t alpha, blas_t* x, int incx, blas_t* y,
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_zlarf(__pyx_v_side, (&__pyx_v_m), (&__pyx_v_n), __pyx_v_v, (&__pyx_v_incv), (&__pyx_v_tau), __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":179
 *         lapack_pointers.zlarfg(&n, alpha, x, &incx, tau)
 * 
 * cdef inline void larf(char* side, int m, int n, blas_t* v, int incv, blas_t tau,             # <<<<<<<<<<<<<<
 *     blas_t* c, int ldc, blas_t* work) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":190
 *         lapack_pointers.zlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 * 
 * cdef inline void ger(int m, int n, blas_t alpha, blas_t* x, int incx, blas_t* y,             # <<<<<<<<<<<<<<
 *         int incy, blas_t* a, int lda) nogil:
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ger(int __pyx_v_m, int __pyx_v_n, float __pyx_v_alpha, float *__pyx_v_x, int __pyx_v_incx, float *__pyx_v_y, int __pyx_v_incy, float *__pyx_v_a, int __pyx_v_lda) {

  /* "scipy/linalg/_decomp_update.pyx":193
 *         int incy, blas_t* a, int lda) nogil:
 *     if blas_t is float:
 *         blas_pointers.sger(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         blas_pointers.dger(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_sger((&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), __pyx_v_a, (&__pyx_v_lda));

  /* "scipy/linalg/_decomp_update.pyx":190
 *         lapack_pointers.zlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 * 
 * cdef inline void ger(int m, int n, blas_t alpha, blas_t* x, int incx, blas_t* y,             # <<<<<<<<<<<<<<
 *         int incy, blas_t* a, int lda) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ger(int __pyx_v_m, int __pyx_v_n, double __pyx_v_alpha, double *__pyx_v_x, int __pyx_v_incx, double *__pyx_v_y, int __pyx_v_incy, double *__pyx_v_a, int __pyx_v_lda) {

  /* "scipy/linalg/_decomp_update.pyx":195
 *         blas_pointers.sger(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 *     elif blas_t is double:
 *         blas_pointers.dger(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         blas_pointers.cgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_dger((&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), __pyx_v_a, (&__pyx_v_lda));

  /* "scipy/linalg/_decomp_update.pyx":190
 *         lapack_pointers.zlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 * 
 * cdef inline void ger(int m, int n, blas_t alpha, blas_t* x, int incx, blas_t* y,             # <<<<<<<<<<<<<<
 *         int incy, blas_t* a, int lda) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ger(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex __pyx_v_alpha, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_float_complex *__pyx_v_y, int __pyx_v_incy, __pyx_t_float_complex *__pyx_v_a, int __pyx_v_lda) {

  /* "scipy/linalg/_decomp_update.pyx":197
 *         blas_pointers.dger(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 *     elif blas_t is float_complex:
 *         blas_pointers.cgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)             # <<<<<<<<<<<<<<
 *     else:
 *         blas_pointers.zgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 */
  __pyx_f_5scipy_6linalg_11cython_blas_cgeru((&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), __pyx_v_a, (&__pyx_v_lda));

  /* "scipy/linalg/_decomp_update.pyx":190
 *         lapack_pointers.zlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 * 
 * cdef inline void ger(int m, int n, blas_t alpha, blas_t* x, int incx, blas_t* y,             # <<<<<<<<<<<<<<
 *         int incy, blas_t* a, int lda) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ger(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex __pyx_v_alpha, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_double_complex *__pyx_v_y, int __pyx_v_incy, __pyx_t_double_complex *__pyx_v_a, int __pyx_v_lda) {

  /* "scipy/linalg/_decomp_update.pyx":199
 *         blas_pointers.cgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 *     else:
 *         blas_pointers.zgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)             # <<<<<<<<<<<<<<
 * 
 * cdef inline void gemv(char* trans, int m, int n, blas_t alpha, blas_t* a,
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zgeru((&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_x, (&__pyx_v_incx), __pyx_v_y, (&__pyx_v_incy), __pyx_v_a, (&__pyx_v_lda));

  /* "scipy/linalg/_decomp_update.pyx":190
 *         lapack_pointers.zlarf(side, &m, &n, v, &incv, &tau, c, &ldc, work)
 * 
 * cdef inline void ger(int m, int n, blas_t alpha, blas_t* x, int incx, blas_t* y,             # <<<<<<<<<<<<<<
 *         int incy, blas_t* a, int lda) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":201
 *         blas_pointers.zgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 * 
 * cdef inline void gemv(char* trans, int m, int n, blas_t alpha, blas_t* a,             # <<<<<<<<<<<<<<
 *         int lda, blas_t* x, int incx, blas_t beta, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, float __pyx_v_alpha, float *__pyx_v_a, int __pyx_v_lda, float *__pyx_v_x, int __pyx_v_incx, float __pyx_v_beta, float *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":204
 *         int lda, blas_t* x, int incx, blas_t beta, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 *         blas_pointers.sgemv(trans, &m, &n, &alpha, a, &lda, x, &incx,             # <<<<<<<<<<<<<<
 *                 &beta, y, &incy)
 *     elif blas_t is double:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_sgemv(__pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_x, (&__pyx_v_incx), (&__pyx_v_beta), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":201
 *         blas_pointers.zgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 * 
 * cdef inline void gemv(char* trans, int m, int n, blas_t alpha, blas_t* a,             # <<<<<<<<<<<<<<
 *         int lda, blas_t* x, int incx, blas_t beta, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, double __pyx_v_alpha, double *__pyx_v_a, int __pyx_v_lda, double *__pyx_v_x, int __pyx_v_incx, double __pyx_v_beta, double *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":207
 *                 &beta, y, &incy)
 *     elif blas_t is double:
 *         blas_pointers.dgemv(trans, &m, &n, &alpha, a, &lda, x, &incx,             # <<<<<<<<<<<<<<
 *                 &beta, y, &incy)
 *     elif blas_t is float_complex:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_dgemv(__pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_x, (&__pyx_v_incx), (&__pyx_v_beta), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":201
 *         blas_pointers.zgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 * 
 * cdef inline void gemv(char* trans, int m, int n, blas_t alpha, blas_t* a,             # <<<<<<<<<<<<<<
 *         int lda, blas_t* x, int incx, blas_t beta, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex __pyx_v_alpha, __pyx_t_float_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_float_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_float_complex __pyx_v_beta, __pyx_t_float_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":210
 *                 &beta, y, &incy)
 *     elif blas_t is float_complex:
 *         blas_pointers.cgemv(trans, &m, &n, &alpha, a, &lda, x, &incx,             # <<<<<<<<<<<<<<
 *                 &beta, y, &incy)
 *     else:  # blas_t is double_complex:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_cgemv(__pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_x, (&__pyx_v_incx), (&__pyx_v_beta), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":201
 *         blas_pointers.zgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 * 
 * cdef inline void gemv(char* trans, int m, int n, blas_t alpha, blas_t* a,             # <<<<<<<<<<<<<<
 *         int lda, blas_t* x, int incx, blas_t beta, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex __pyx_v_alpha, __pyx_t_double_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_double_complex *__pyx_v_x, int __pyx_v_incx, __pyx_t_double_complex __pyx_v_beta, __pyx_t_double_complex *__pyx_v_y, int __pyx_v_incy) {

  /* "scipy/linalg/_decomp_update.pyx":213
 *                 &beta, y, &incy)
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zgemv(trans, &m, &n, &alpha, a, &lda, x, &incx,             # <<<<<<<<<<<<<<
 *                 &beta, y, &incy)
 * 
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zgemv(__pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_x, (&__pyx_v_incx), (&__pyx_v_beta), __pyx_v_y, (&__pyx_v_incy));

  /* "scipy/linalg/_decomp_update.pyx":201
 *         blas_pointers.zgeru(&m, &n, &alpha, x, &incx, y, &incy, a, &lda)
 * 
 * cdef inline void gemv(char* trans, int m, int n, blas_t alpha, blas_t* a,             # <<<<<<<<<<<<<<
 *         int lda, blas_t* x, int incx, blas_t beta, blas_t* y, int incy) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":216
 *                 &beta, y, &incy)
 * 
 * cdef inline void gemm(char* transa, char* transb, int m, int n, int k,             # <<<<<<<<<<<<<<
 *         blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb, blas_t beta,
 *         blas_t* c, int ldc) nogil:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *__pyx_v_transa, char *__pyx_v_transb, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, float __pyx_v_alpha, float *__pyx_v_a, int __pyx_v_lda, float *__pyx_v_b, int __pyx_v_ldb, float __pyx_v_beta, float *__pyx_v_c, int __pyx_v_ldc) {

  /* "scipy/linalg/_decomp_update.pyx":220
 *         blas_t* c, int ldc) nogil:
 *     if blas_t is float:
 *         blas_pointers.sgemm(transa, transb, &m, &n, &k, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb, &beta, c, &ldc)
 *     elif blas_t is double:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_sgemm(__pyx_v_transa, __pyx_v_transb, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb), (&__pyx_v_beta), __pyx_v_c, (&__pyx_v_ldc));

  /* "scipy/linalg/_decomp_update.pyx":216
 *                 &beta, y, &incy)
 * 
 * cdef inline void gemm(char* transa, char* transb, int m, int n, int k,             # <<<<<<<<<<<<<<
 *         blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb, blas_t beta,
 *         blas_t* c, int ldc) nogil:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *__pyx_v_transa, char *__pyx_v_transb, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, double __pyx_v_alpha, double *__pyx_v_a, int __pyx_v_lda, double *__pyx_v_b, int __pyx_v_ldb, double __pyx_v_beta, double *__pyx_v_c, int __pyx_v_ldc) {

  /* "scipy/linalg/_decomp_update.pyx":223
 *                 b, &ldb, &beta, c, &ldc)
 *     elif blas_t is double:
 *         blas_pointers.dgemm(transa, transb, &m, &n, &k, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb, &beta, c, &ldc)
 *     elif blas_t is float_complex:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_dgemm(__pyx_v_transa, __pyx_v_transb, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb), (&__pyx_v_beta), __pyx_v_c, (&__pyx_v_ldc));

  /* "scipy/linalg/_decomp_update.pyx":216
 *                 &beta, y, &incy)
 * 
 * cdef inline void gemm(char* transa, char* transb, int m, int n, int k,             # <<<<<<<<<<<<<<
 *         blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb, blas_t beta,
 *         blas_t* c, int ldc) nogil:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *__pyx_v_transa, char *__pyx_v_transb, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, __pyx_t_float_complex __pyx_v_alpha, __pyx_t_float_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_float_complex *__pyx_v_b, int __pyx_v_ldb, __pyx_t_float_complex __pyx_v_beta, __pyx_t_float_complex *__pyx_v_c, int __pyx_v_ldc) {

  /* "scipy/linalg/_decomp_update.pyx":226
 *                 b, &ldb, &beta, c, &ldc)
 *     elif blas_t is float_complex:
 *         blas_pointers.cgemm(transa, transb, &m, &n, &k, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb, &beta, c, &ldc)
 *     else:  # blas_t is double_complex:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_cgemm(__pyx_v_transa, __pyx_v_transb, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb), (&__pyx_v_beta), __pyx_v_c, (&__pyx_v_ldc));

  /* "scipy/linalg/_decomp_update.pyx":216
 *                 &beta, y, &incy)
 * 
 * cdef inline void gemm(char* transa, char* transb, int m, int n, int k,             # <<<<<<<<<<<<<<
 *         blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb, blas_t beta,
 *         blas_t* c, int ldc) nogil:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemm(char *__pyx_v_transa, char *__pyx_v_transb, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, __pyx_t_double_complex __pyx_v_alpha, __pyx_t_double_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_double_complex *__pyx_v_b, int __pyx_v_ldb, __pyx_t_double_complex __pyx_v_beta, __pyx_t_double_complex *__pyx_v_c, int __pyx_v_ldc) {

  /* "scipy/linalg/_decomp_update.pyx":229
 *                 b, &ldb, &beta, c, &ldc)
 *     else:  # blas_t is double_complex:
 *         blas_pointers.zgemm(transa, transb, &m, &n, &k, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb, &beta, c, &ldc)
 * 
 */
  __pyx_f_5scipy_6linalg_11cython_blas_zgemm(__pyx_v_transa, __pyx_v_transb, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb), (&__pyx_v_beta), __pyx_v_c, (&__pyx_v_ldc));

  /* "scipy/linalg/_decomp_update.pyx":216
 *                 &beta, y, &incy)
 * 
 * cdef inline void gemm(char* transa, char* transb, int m, int n, int k,             # <<<<<<<<<<<<<<
 *         blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb, blas_t beta,
 *         blas_t* c, int ldc) nogil:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":232
 *                 b, &ldb, &beta, c, &ldc)
 * 
 * cdef inline void trmm(char* side, char* uplo, char* transa, char* diag, int m,             # <<<<<<<<<<<<<<
 *         int n, blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb) nogil:
 *     if blas_t is float:
 */

static CYTHON_INLINE void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *__pyx_v_side, char *__pyx_v_uplo, char *__pyx_v_transa, char *__pyx_v_diag, int __pyx_v_m, int __pyx_v_n, float __pyx_v_alpha, float *__pyx_v_a, int __pyx_v_lda, float *__pyx_v_b, int __pyx_v_ldb) {

  /* "scipy/linalg/_decomp_update.pyx":235
 *         int n, blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb) nogil:
 *     if blas_t is float:
 *         blas_pointers.strmm(side, uplo, transa, diag, &m, &n, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb)
 *     elif blas_t is double:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_strmm(__pyx_v_side, __pyx_v_uplo, __pyx_v_transa, __pyx_v_diag, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb));

  /* "scipy/linalg/_decomp_update.pyx":232
 *                 b, &ldb, &beta, c, &ldc)
 * 
 * cdef inline void trmm(char* side, char* uplo, char* transa, char* diag, int m,             # <<<<<<<<<<<<<<
 *         int n, blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *__pyx_v_side, char *__pyx_v_uplo, char *__pyx_v_transa, char *__pyx_v_diag, int __pyx_v_m, int __pyx_v_n, double __pyx_v_alpha, double *__pyx_v_a, int __pyx_v_lda, double *__pyx_v_b, int __pyx_v_ldb) {

  /* "scipy/linalg/_decomp_update.pyx":238
 *                 b, &ldb)
 *     elif blas_t is double:
 *         blas_pointers.dtrmm(side, uplo, transa, diag, &m, &n, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb)
 *     elif blas_t is float_complex:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_dtrmm(__pyx_v_side, __pyx_v_uplo, __pyx_v_transa, __pyx_v_diag, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb));

  /* "scipy/linalg/_decomp_update.pyx":232
 *                 b, &ldb, &beta, c, &ldc)
 * 
 * cdef inline void trmm(char* side, char* uplo, char* transa, char* diag, int m,             # <<<<<<<<<<<<<<
 *         int n, blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *__pyx_v_side, char *__pyx_v_uplo, char *__pyx_v_transa, char *__pyx_v_diag, int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex __pyx_v_alpha, __pyx_t_float_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_float_complex *__pyx_v_b, int __pyx_v_ldb) {

  /* "scipy/linalg/_decomp_update.pyx":241
 *                 b, &ldb)
 *     elif blas_t is float_complex:
 *         blas_pointers.ctrmm(side, uplo, transa, diag, &m, &n, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb)
 *     else:  # blas_t is double_complex:
 */
  __pyx_f_5scipy_6linalg_11cython_blas_ctrmm(__pyx_v_side, __pyx_v_uplo, __pyx_v_transa, __pyx_v_diag, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb));

  /* "scipy/linalg/_decomp_update.pyx":232
 *                 b, &ldb, &beta, c, &ldc)
 * 
 * cdef inline void trmm(char* side, char* uplo, char* transa, char* diag, int m,             # <<<<<<<<<<<<<<
 *         int n, blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

static CYTHON_INLINE void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_trmm(char *__pyx_v_side, char *__pyx_v_uplo, char *__pyx_v_transa, char *__pyx_v_diag, int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex __pyx_v_alpha, __pyx_t_double_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_double_complex *__pyx_v_b, int __pyx_v_ldb) {

  /* "scipy/linalg/_decomp_update.pyx":244
 *                 b, &ldb)
 *     else:  # blas_t is double_complex:
 *         blas_pointers.ztrmm(side, uplo, transa, diag, &m, &n, &alpha, a, &lda,             # <<<<<<<<<<<<<<
 *                 b, &ldb)
 * 
 */
  __pyx_f_5scipy_6linalg_11cython_blas_ztrmm(__pyx_v_side, __pyx_v_uplo, __pyx_v_transa, __pyx_v_diag, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_alpha), __pyx_v_a, (&__pyx_v_lda), __pyx_v_b, (&__pyx_v_ldb));

  /* "scipy/linalg/_decomp_update.pyx":232
 *                 b, &ldb, &beta, c, &ldc)
 * 
 * cdef inline void trmm(char* side, char* uplo, char* transa, char* diag, int m,             # <<<<<<<<<<<<<<
 *         int n, blas_t alpha, blas_t* a, int lda, blas_t* b, int ldb) nogil:
 *     if blas_t is float:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":247
 *                 b, &ldb)
 * 
 * cdef inline int geqrf(int m, int n, blas_t* a, int lda, blas_t* tau,             # <<<<<<<<<<<<<<
 *                       blas_t* work, int lwork) nogil:
 *     cdef int info
 */

static CYTHON_INLINE int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_a, int __pyx_v_lda, float *__pyx_v_tau, float *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":251
 *     cdef int info
 *     if blas_t is float:
 *         lapack_pointers.sgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         lapack_pointers.dgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_sgeqrf((&__pyx_v_m), (&__pyx_v_n), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":258
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":247
 *                 b, &ldb)
 * 
 * cdef inline int geqrf(int m, int n, blas_t* a, int lda, blas_t* tau,             # <<<<<<<<<<<<<<
 *                       blas_t* work, int lwork) nogil:
 *     cdef int info
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_a, int __pyx_v_lda, double *__pyx_v_tau, double *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":253
 *         lapack_pointers.sgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 *     elif blas_t is double:
 *         lapack_pointers.dgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         lapack_pointers.cgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_dgeqrf((&__pyx_v_m), (&__pyx_v_n), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":258
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":247
 *                 b, &ldb)
 * 
 * cdef inline int geqrf(int m, int n, blas_t* a, int lda, blas_t* tau,             # <<<<<<<<<<<<<<
 *                       blas_t* work, int lwork) nogil:
 *     cdef int info
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_float_complex *__pyx_v_tau, __pyx_t_float_complex *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":255
 *         lapack_pointers.dgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 *     elif blas_t is float_complex:
 *         lapack_pointers.cgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)             # <<<<<<<<<<<<<<
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_cgeqrf((&__pyx_v_m), (&__pyx_v_n), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":258
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":247
 *                 b, &ldb)
 * 
 * cdef inline int geqrf(int m, int n, blas_t* a, int lda, blas_t* tau,             # <<<<<<<<<<<<<<
 *                       blas_t* work, int lwork) nogil:
 *     cdef int info
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_double_complex *__pyx_v_tau, __pyx_t_double_complex *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":257
 *         lapack_pointers.cgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)             # <<<<<<<<<<<<<<
 *     return info
 * 
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_zgeqrf((&__pyx_v_m), (&__pyx_v_n), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":258
 *     else:  # blas_t is double_complex:
 *         lapack_pointers.zgeqrf(&m, &n, a, &lda, tau, work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":247
 *                 b, &ldb)
 * 
 * cdef inline int geqrf(int m, int n, blas_t* a, int lda, blas_t* tau,             # <<<<<<<<<<<<<<
 *                       blas_t* work, int lwork) nogil:
 *     cdef int info
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":260
 *     return info
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,             # <<<<<<<<<<<<<<
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0
 */

static CYTHON_INLINE int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *__pyx_v_side, char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, float *__pyx_v_a, int __pyx_v_lda, float *__pyx_v_tau, float *__pyx_v_c, int __pyx_v_ldc, float *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":262
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         lapack_pointers.sormqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 */
  __pyx_v_info = 0;

  /* "scipy/linalg/_decomp_update.pyx":264
 *     cdef int info = 0
 *     if blas_t is float:
 *         lapack_pointers.sormqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,             # <<<<<<<<<<<<<<
 *                 work, &lwork, &info)
 *     elif blas_t is double:
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_sormqr(__pyx_v_side, __pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":275
 *         lapack_pointers.zunmqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 *                 work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":260
 *     return info
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,             # <<<<<<<<<<<<<<
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *__pyx_v_side, char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, double *__pyx_v_a, int __pyx_v_lda, double *__pyx_v_tau, double *__pyx_v_c, int __pyx_v_ldc, double *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":262
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         lapack_pointers.sormqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 */
  __pyx_v_info = 0;

  /* "scipy/linalg/_decomp_update.pyx":267
 *                 work, &lwork, &info)
 *     elif blas_t is double:
 *         lapack_pointers.dormqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,             # <<<<<<<<<<<<<<
 *                 work, &lwork, &info)
 *     elif blas_t is float_complex:
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_dormqr(__pyx_v_side, __pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":275
 *         lapack_pointers.zunmqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 *                 work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":260
 *     return info
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,             # <<<<<<<<<<<<<<
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *__pyx_v_side, char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, __pyx_t_float_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_float_complex *__pyx_v_tau, __pyx_t_float_complex *__pyx_v_c, int __pyx_v_ldc, __pyx_t_float_complex *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":262
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         lapack_pointers.sormqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 */
  __pyx_v_info = 0;

  /* "scipy/linalg/_decomp_update.pyx":270
 *                 work, &lwork, &info)
 *     elif blas_t is float_complex:
 *         lapack_pointers.cunmqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,             # <<<<<<<<<<<<<<
 *                 work, &lwork, &info)
 *     else:
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_cunmqr(__pyx_v_side, __pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":275
 *         lapack_pointers.zunmqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 *                 work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":260
 *     return info
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,             # <<<<<<<<<<<<<<
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static CYTHON_INLINE int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(char *__pyx_v_side, char *__pyx_v_trans, int __pyx_v_m, int __pyx_v_n, int __pyx_v_k, __pyx_t_double_complex *__pyx_v_a, int __pyx_v_lda, __pyx_t_double_complex *__pyx_v_tau, __pyx_t_double_complex *__pyx_v_c, int __pyx_v_ldc, __pyx_t_double_complex *__pyx_v_work, int __pyx_v_lwork) {
  int __pyx_v_info;
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":262
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         lapack_pointers.sormqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 */
  __pyx_v_info = 0;

  /* "scipy/linalg/_decomp_update.pyx":273
 *                 work, &lwork, &info)
 *     else:
 *         lapack_pointers.zunmqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,             # <<<<<<<<<<<<<<
 *                 work, &lwork, &info)
 *     return info
 */
  __pyx_f_5scipy_6linalg_13cython_lapack_zunmqr(__pyx_v_side, __pyx_v_trans, (&__pyx_v_m), (&__pyx_v_n), (&__pyx_v_k), __pyx_v_a, (&__pyx_v_lda), __pyx_v_tau, __pyx_v_c, (&__pyx_v_ldc), __pyx_v_work, (&__pyx_v_lwork), (&__pyx_v_info));

  /* "scipy/linalg/_decomp_update.pyx":275
 *         lapack_pointers.zunmqr(side, trans, &m, &n, &k, a, &lda, tau, c, &ldc,
 *                 work, &lwork, &info)
 *     return info             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_r = __pyx_v_info;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":260
 *     return info
 * 
 * cdef inline int ormqr(char* side, char* trans, int m, int n, int k, blas_t* a,             # <<<<<<<<<<<<<<
 *     int lda, blas_t* tau, blas_t* c, int ldc, blas_t* work, int lwork) nogil:
 *     cdef int info = 0
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":281
 * #------------------------------------------------------------------------------
 * 
 * cdef void blas_t_conj(int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(CYTHON_UNUSED int __pyx_v_n, CYTHON_UNUSED float *__pyx_v_x, CYTHON_UNUSED int *__pyx_v_xs) {

  /* "scipy/linalg/_decomp_update.pyx":283
 * cdef void blas_t_conj(int n, blas_t* x, int* xs) nogil:
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":281
 * #------------------------------------------------------------------------------
 * 
 * cdef void blas_t_conj(int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(CYTHON_UNUSED int __pyx_v_n, CYTHON_UNUSED double *__pyx_v_x, CYTHON_UNUSED int *__pyx_v_xs) {

  /* "scipy/linalg/_decomp_update.pyx":283
 * cdef void blas_t_conj(int n, blas_t* x, int* xs) nogil:
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":281
 * #------------------------------------------------------------------------------
 * 
 * cdef void blas_t_conj(int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(int __pyx_v_n, __pyx_t_float_complex *__pyx_v_x, int *__pyx_v_xs) {
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":284
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for j in range(n):             # <<<<<<<<<<<<<<
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 * 
 */
  __pyx_t_1 = __pyx_v_n;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":285
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for j in range(n):
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()             # <<<<<<<<<<<<<<
 * 
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:
 */
    (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_x, __pyx_v_xs, __pyx_v_j)[0]) = __Pyx_c_conjf((__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_x, __pyx_v_xs, __pyx_v_j)[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":281
 * #------------------------------------------------------------------------------
 * 
 * cdef void blas_t_conj(int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(int __pyx_v_n, __pyx_t_double_complex *__pyx_v_x, int *__pyx_v_xs) {
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":284
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for j in range(n):             # <<<<<<<<<<<<<<
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 * 
 */
  __pyx_t_1 = __pyx_v_n;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":285
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for j in range(n):
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()             # <<<<<<<<<<<<<<
 * 
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:
 */
    (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_x, __pyx_v_xs, __pyx_v_j)[0]) = __Pyx_c_conj((__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_x, __pyx_v_xs, __pyx_v_j)[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":281
 * #------------------------------------------------------------------------------
 * 
 * cdef void blas_t_conj(int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":287
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 * 
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(CYTHON_UNUSED int __pyx_v_m, CYTHON_UNUSED int __pyx_v_n, CYTHON_UNUSED float *__pyx_v_x, CYTHON_UNUSED int *__pyx_v_xs) {

  /* "scipy/linalg/_decomp_update.pyx":289
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:             # <<<<<<<<<<<<<<
 *         for i in range(m):
 *             for j in range(n):
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":287
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 * 
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(CYTHON_UNUSED int __pyx_v_m, CYTHON_UNUSED int __pyx_v_n, CYTHON_UNUSED double *__pyx_v_x, CYTHON_UNUSED int *__pyx_v_xs) {

  /* "scipy/linalg/_decomp_update.pyx":289
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:             # <<<<<<<<<<<<<<
 *         for i in range(m):
 *             for j in range(n):
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":287
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 * 
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_x, int *__pyx_v_xs) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":290
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for i in range(m):             # <<<<<<<<<<<<<<
 *             for j in range(n):
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 */
  __pyx_t_1 = __pyx_v_m;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":291
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for i in range(m):
 *             for j in range(n):             # <<<<<<<<<<<<<<
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 * 
 */
    __pyx_t_3 = __pyx_v_n;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "scipy/linalg/_decomp_update.pyx":292
 *         for i in range(m):
 *             for j in range(n):
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()             # <<<<<<<<<<<<<<
 * 
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:
 */
      (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_x, __pyx_v_xs, __pyx_v_i, __pyx_v_j)[0]) = __Pyx_c_conjf((__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_x, __pyx_v_xs, __pyx_v_i, __pyx_v_j)[0]));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":287
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 * 
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_x, int *__pyx_v_xs) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":290
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for i in range(m):             # <<<<<<<<<<<<<<
 *             for j in range(n):
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 */
  __pyx_t_1 = __pyx_v_m;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":291
 *     if blas_t is float_complex or blas_t is double_complex:
 *         for i in range(m):
 *             for j in range(n):             # <<<<<<<<<<<<<<
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 * 
 */
    __pyx_t_3 = __pyx_v_n;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "scipy/linalg/_decomp_update.pyx":292
 *         for i in range(m):
 *             for j in range(n):
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()             # <<<<<<<<<<<<<<
 * 
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:
 */
      (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_x, __pyx_v_xs, __pyx_v_i, __pyx_v_j)[0]) = __Pyx_c_conj((__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_x, __pyx_v_xs, __pyx_v_i, __pyx_v_j)[0]));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":287
 *             index1(x, xs, j)[0] = index1(x, xs, j)[0].conjugate()
 * 
 * cdef void blas_t_2d_conj(int m, int n, blas_t* x, int* xs) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i, j
 *     if blas_t is float_complex or blas_t is double_complex:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":294
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 * 
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return sqrt(x)
 */

static float __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(float __pyx_v_x) {
  float __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":296
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:
 *     if blas_t is float:
 *         return sqrt(x)             # <<<<<<<<<<<<<<
 *     elif blas_t is double:
 *         return sqrt(x)
 */
  __pyx_r = sqrt(__pyx_v_x);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":294
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 * 
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return sqrt(x)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static double __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(double __pyx_v_x) {
  double __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":298
 *         return sqrt(x)
 *     elif blas_t is double:
 *         return sqrt(x)             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         return <float_complex>sqrt(<double>((<float*>&x)[0]))
 */
  __pyx_r = sqrt(__pyx_v_x);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":294
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 * 
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return sqrt(x)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static __pyx_t_float_complex __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(__pyx_t_float_complex __pyx_v_x) {
  __pyx_t_float_complex __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":300
 *         return sqrt(x)
 *     elif blas_t is float_complex:
 *         return <float_complex>sqrt(<double>((<float*>&x)[0]))             # <<<<<<<<<<<<<<
 *     else:
 *         return sqrt((<double*>&x)[0])
 */
  __pyx_r = __pyx_t_float_complex_from_parts(((float)sqrt(((double)(((float *)(&__pyx_v_x))[0])))), 0);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":294
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 * 
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return sqrt(x)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static __pyx_t_double_complex __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(__pyx_t_double_complex __pyx_v_x) {
  __pyx_t_double_complex __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":302
 *         return <float_complex>sqrt(<double>((<float*>&x)[0]))
 *     else:
 *         return sqrt((<double*>&x)[0])             # <<<<<<<<<<<<<<
 * 
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:
 */
  __pyx_r = __pyx_t_double_complex_from_parts(sqrt((((double *)(&__pyx_v_x))[0])), 0);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":294
 *                 index2(x, xs, i, j)[0] = index2(x, xs, i, j)[0].conjugate()
 * 
 * cdef blas_t blas_t_sqrt(blas_t x) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float:
 *         return sqrt(x)
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":304
 *         return sqrt((<double*>&x)[0])
 * 
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float or blas_t is double:
 *         return x < y
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(float __pyx_v_x, float __pyx_v_y) {
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":306
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:
 *     if blas_t is float or blas_t is double:
 *         return x < y             # <<<<<<<<<<<<<<
 *     else:
 *         return x.real < y.real
 */
  __pyx_r = (__pyx_v_x < __pyx_v_y);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":304
 *         return sqrt((<double*>&x)[0])
 * 
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float or blas_t is double:
 *         return x < y
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(double __pyx_v_x, double __pyx_v_y) {
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":306
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:
 *     if blas_t is float or blas_t is double:
 *         return x < y             # <<<<<<<<<<<<<<
 *     else:
 *         return x.real < y.real
 */
  __pyx_r = (__pyx_v_x < __pyx_v_y);
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":304
 *         return sqrt((<double*>&x)[0])
 * 
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float or blas_t is double:
 *         return x < y
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_t_float_complex __pyx_v_x, __pyx_t_float_complex __pyx_v_y) {
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":308
 *         return x < y
 *     else:
 *         return x.real < y.real             # <<<<<<<<<<<<<<
 * 
 * cdef int to_lwork(blas_t a, blas_t b) nogil:
 */
  __pyx_r = (__Pyx_CREAL(__pyx_v_x) < __Pyx_CREAL(__pyx_v_y));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":304
 *         return sqrt((<double*>&x)[0])
 * 
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float or blas_t is double:
 *         return x < y
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_t_double_complex __pyx_v_x, __pyx_t_double_complex __pyx_v_y) {
  int __pyx_r;

  /* "scipy/linalg/_decomp_update.pyx":308
 *         return x < y
 *     else:
 *         return x.real < y.real             # <<<<<<<<<<<<<<
 * 
 * cdef int to_lwork(blas_t a, blas_t b) nogil:
 */
  __pyx_r = (__Pyx_CREAL(__pyx_v_x) < __Pyx_CREAL(__pyx_v_y));
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":304
 *         return sqrt((<double*>&x)[0])
 * 
 * cdef bint blas_t_less_than(blas_t x, blas_t y) nogil:             # <<<<<<<<<<<<<<
 *     if blas_t is float or blas_t is double:
 *         return x < y
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":310
 *         return x.real < y.real
 * 
 * cdef int to_lwork(blas_t a, blas_t b) nogil:             # <<<<<<<<<<<<<<
 *     cdef int ai, bi
 *     if blas_t is float or blas_t is double:
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(float __pyx_v_a, float __pyx_v_b) {
  int __pyx_v_ai;
  int __pyx_v_bi;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":313
 *     cdef int ai, bi
 *     if blas_t is float or blas_t is double:
 *         ai = <int>a             # <<<<<<<<<<<<<<
 *         bi = <int>b
 *     elif blas_t is float_complex:
 */
  __pyx_v_ai = ((int)__pyx_v_a);

  /* "scipy/linalg/_decomp_update.pyx":314
 *     if blas_t is float or blas_t is double:
 *         ai = <int>a
 *         bi = <int>b             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         ai = <int>((<float*>&a)[0])
 */
  __pyx_v_bi = ((int)__pyx_v_b);

  /* "scipy/linalg/_decomp_update.pyx":321
 *         ai = <int>((<double*>&a)[0])
 *         bi = <int>((<double*>&b)[0])
 *     return max(ai, bi)             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_t_1 = __pyx_v_bi;
  __pyx_t_2 = __pyx_v_ai;
  if (((__pyx_t_1 > __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_r = __pyx_t_3;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":310
 *         return x.real < y.real
 * 
 * cdef int to_lwork(blas_t a, blas_t b) nogil:             # <<<<<<<<<<<<<<
 *     cdef int ai, bi
 *     if blas_t is float or blas_t is double:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(double __pyx_v_a, double __pyx_v_b) {
  int __pyx_v_ai;
  int __pyx_v_bi;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":313
 *     cdef int ai, bi
 *     if blas_t is float or blas_t is double:
 *         ai = <int>a             # <<<<<<<<<<<<<<
 *         bi = <int>b
 *     elif blas_t is float_complex:
 */
  __pyx_v_ai = ((int)__pyx_v_a);

  /* "scipy/linalg/_decomp_update.pyx":314
 *     if blas_t is float or blas_t is double:
 *         ai = <int>a
 *         bi = <int>b             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         ai = <int>((<float*>&a)[0])
 */
  __pyx_v_bi = ((int)__pyx_v_b);

  /* "scipy/linalg/_decomp_update.pyx":321
 *         ai = <int>((<double*>&a)[0])
 *         bi = <int>((<double*>&b)[0])
 *     return max(ai, bi)             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_t_1 = __pyx_v_bi;
  __pyx_t_2 = __pyx_v_ai;
  if (((__pyx_t_1 > __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_r = __pyx_t_3;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":310
 *         return x.real < y.real
 * 
 * cdef int to_lwork(blas_t a, blas_t b) nogil:             # <<<<<<<<<<<<<<
 *     cdef int ai, bi
 *     if blas_t is float or blas_t is double:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_t_float_complex __pyx_v_a, __pyx_t_float_complex __pyx_v_b) {
  int __pyx_v_ai;
  int __pyx_v_bi;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":316
 *         bi = <int>b
 *     elif blas_t is float_complex:
 *         ai = <int>((<float*>&a)[0])             # <<<<<<<<<<<<<<
 *         bi = <int>((<float*>&b)[0])
 *     elif blas_t is double_complex:
 */
  __pyx_v_ai = ((int)(((float *)(&__pyx_v_a))[0]));

  /* "scipy/linalg/_decomp_update.pyx":317
 *     elif blas_t is float_complex:
 *         ai = <int>((<float*>&a)[0])
 *         bi = <int>((<float*>&b)[0])             # <<<<<<<<<<<<<<
 *     elif blas_t is double_complex:
 *         ai = <int>((<double*>&a)[0])
 */
  __pyx_v_bi = ((int)(((float *)(&__pyx_v_b))[0]));

  /* "scipy/linalg/_decomp_update.pyx":321
 *         ai = <int>((<double*>&a)[0])
 *         bi = <int>((<double*>&b)[0])
 *     return max(ai, bi)             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_t_1 = __pyx_v_bi;
  __pyx_t_2 = __pyx_v_ai;
  if (((__pyx_t_1 > __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_r = __pyx_t_3;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":310
 *         return x.real < y.real
 * 
 * cdef int to_lwork(blas_t a, blas_t b) nogil:             # <<<<<<<<<<<<<<
 *     cdef int ai, bi
 *     if blas_t is float or blas_t is double:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_t_double_complex __pyx_v_a, __pyx_t_double_complex __pyx_v_b) {
  int __pyx_v_ai;
  int __pyx_v_bi;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":319
 *         bi = <int>((<float*>&b)[0])
 *     elif blas_t is double_complex:
 *         ai = <int>((<double*>&a)[0])             # <<<<<<<<<<<<<<
 *         bi = <int>((<double*>&b)[0])
 *     return max(ai, bi)
 */
  __pyx_v_ai = ((int)(((double *)(&__pyx_v_a))[0]));

  /* "scipy/linalg/_decomp_update.pyx":320
 *     elif blas_t is double_complex:
 *         ai = <int>((<double*>&a)[0])
 *         bi = <int>((<double*>&b)[0])             # <<<<<<<<<<<<<<
 *     return max(ai, bi)
 * 
 */
  __pyx_v_bi = ((int)(((double *)(&__pyx_v_b))[0]));

  /* "scipy/linalg/_decomp_update.pyx":321
 *         ai = <int>((<double*>&a)[0])
 *         bi = <int>((<double*>&b)[0])
 *     return max(ai, bi)             # <<<<<<<<<<<<<<
 * 
 * #------------------------------------------------------------------------------
 */
  __pyx_t_1 = __pyx_v_bi;
  __pyx_t_2 = __pyx_v_ai;
  if (((__pyx_t_1 > __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_r = __pyx_t_3;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":310
 *         return x.real < y.real
 * 
 * cdef int to_lwork(blas_t a, blas_t b) nogil:             # <<<<<<<<<<<<<<
 *     cdef int ai, bi
 *     if blas_t is float or blas_t is double:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":327
 * #------------------------------------------------------------------------------
 * 
 * cdef bint reorthx(int m, int n, blas_t* q, int* qs, bint qisF, int j, blas_t* u, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, int __pyx_v_j, float *__pyx_v_u, float *__pyx_v_s) {
  float __pyx_v_wnorm;
  float __pyx_v_wpnorm;
  char *__pyx_v_T;
  char *__pyx_v_N;
  CYTHON_UNUSED char *__pyx_v_C;
  int __pyx_v_ss;
  float __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  int __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":330
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":331
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":332
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":333
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":334
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # u starts out as the jth basis vector.
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 334; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = ((float)(1.0 / __pyx_t_1));

  /* "scipy/linalg/_decomp_update.pyx":337
 * 
 *     # u starts out as the jth basis vector.
 *     u[j] = 1             # <<<<<<<<<<<<<<
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 */
  (__pyx_v_u[__pyx_v_j]) = 1.0;

  /* "scipy/linalg/_decomp_update.pyx":340
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)             # <<<<<<<<<<<<<<
 *     blas_t_conj(n, s, &ss)
 * 
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_n, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":341
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)
 *     blas_t_conj(n, s, &ss)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_s, (&__pyx_v_ss));

  /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":346
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_s, 1, 1.0, __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":348
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, 1)
 * 
 */
  /*else*/ {
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, 1.0, __pyx_v_u, 1);
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":349
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 *     wnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  __pyx_v_wnorm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  __pyx_t_2 = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":352
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)             # <<<<<<<<<<<<<<
 *         s[n] = wnorm
 *         return True
 */
    if (unlikely(__pyx_v_wnorm == 0)) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 352; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wnorm), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":353
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm             # <<<<<<<<<<<<<<
 *         return True
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __pyx_v_wnorm;

    /* "scipy/linalg/_decomp_update.pyx":354
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 *         return True             # <<<<<<<<<<<<<<
 * 
 *     # if the above check failed, try one reorthogonalization
 */
    __pyx_r = 1;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":359
 *     if qisF:
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_m, __pyx_v_n, 1.0, __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_u, 1, 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":362
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, (__pyx_v_qs[1]), (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
    goto __pyx_L5;
  }

  /* "scipy/linalg/_decomp_update.pyx":364
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":365
 *     else:
 *         if blas_t is float or blas_t is double:
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             blas_t_conj(m, u, &ss)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_n, __pyx_v_u, 1, 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":371
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wpnorm = nrm2(m, u, 1)
 * 
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, 1);
  }
  __pyx_L5:;

  /* "scipy/linalg/_decomp_update.pyx":372
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 *     wpnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 */
  __pyx_v_wpnorm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  __pyx_t_2 = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_wpnorm, (__pyx_v_wnorm * __pyx_v_inv_root2)) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":375
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)             # <<<<<<<<<<<<<<
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, 0.0, __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":376
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *         s[n] = 0
 *         return False
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":377
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0             # <<<<<<<<<<<<<<
 *         return False
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = 0.0;

    /* "scipy/linalg/_decomp_update.pyx":378
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 *         return False             # <<<<<<<<<<<<<<
 * 
 *     scal(m, 1/wpnorm, u, 1)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":380
 *         return False
 * 
 *     scal(m, 1/wpnorm, u, 1)             # <<<<<<<<<<<<<<
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 */
  if (unlikely(__pyx_v_wpnorm == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 380; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wpnorm), __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":381
 * 
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *     s[n] = wpnorm
 *     return True
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

  /* "scipy/linalg/_decomp_update.pyx":382
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm             # <<<<<<<<<<<<<<
 *     return True
 * 
 */
  (__pyx_v_s[__pyx_v_n]) = __pyx_v_wpnorm;

  /* "scipy/linalg/_decomp_update.pyx":383
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 *     return True             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":327
 * #------------------------------------------------------------------------------
 * 
 * cdef bint reorthx(int m, int n, blas_t* q, int* qs, bint qisF, int j, blas_t* u, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.linalg._decomp_update.reorthx", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, int __pyx_v_j, double *__pyx_v_u, double *__pyx_v_s) {
  double __pyx_v_wnorm;
  double __pyx_v_wpnorm;
  char *__pyx_v_T;
  char *__pyx_v_N;
  CYTHON_UNUSED char *__pyx_v_C;
  int __pyx_v_ss;
  double __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  int __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":330
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":331
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":332
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":333
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":334
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # u starts out as the jth basis vector.
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 334; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = ((double)(1.0 / __pyx_t_1));

  /* "scipy/linalg/_decomp_update.pyx":337
 * 
 *     # u starts out as the jth basis vector.
 *     u[j] = 1             # <<<<<<<<<<<<<<
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 */
  (__pyx_v_u[__pyx_v_j]) = 1.0;

  /* "scipy/linalg/_decomp_update.pyx":340
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)             # <<<<<<<<<<<<<<
 *     blas_t_conj(n, s, &ss)
 * 
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_n, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":341
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)
 *     blas_t_conj(n, s, &ss)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_s, (&__pyx_v_ss));

  /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":346
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_s, 1, 1.0, __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":348
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, 1)
 * 
 */
  /*else*/ {
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, 1.0, __pyx_v_u, 1);
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":349
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 *     wnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  __pyx_v_wnorm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  __pyx_t_2 = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":352
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)             # <<<<<<<<<<<<<<
 *         s[n] = wnorm
 *         return True
 */
    if (unlikely(__pyx_v_wnorm == 0)) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 352; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wnorm), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":353
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm             # <<<<<<<<<<<<<<
 *         return True
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __pyx_v_wnorm;

    /* "scipy/linalg/_decomp_update.pyx":354
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 *         return True             # <<<<<<<<<<<<<<
 * 
 *     # if the above check failed, try one reorthogonalization
 */
    __pyx_r = 1;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":359
 *     if qisF:
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_m, __pyx_v_n, 1.0, __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_u, 1, 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":362
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, (__pyx_v_qs[1]), (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
    goto __pyx_L5;
  }

  /* "scipy/linalg/_decomp_update.pyx":364
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":365
 *     else:
 *         if blas_t is float or blas_t is double:
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             blas_t_conj(m, u, &ss)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_n, __pyx_v_u, 1, 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":371
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wpnorm = nrm2(m, u, 1)
 * 
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, 1);
  }
  __pyx_L5:;

  /* "scipy/linalg/_decomp_update.pyx":372
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 *     wpnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 */
  __pyx_v_wpnorm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  __pyx_t_2 = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_wpnorm, (__pyx_v_wnorm * __pyx_v_inv_root2)) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":375
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)             # <<<<<<<<<<<<<<
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, 0.0, __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":376
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *         s[n] = 0
 *         return False
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":377
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0             # <<<<<<<<<<<<<<
 *         return False
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = 0.0;

    /* "scipy/linalg/_decomp_update.pyx":378
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 *         return False             # <<<<<<<<<<<<<<
 * 
 *     scal(m, 1/wpnorm, u, 1)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":380
 *         return False
 * 
 *     scal(m, 1/wpnorm, u, 1)             # <<<<<<<<<<<<<<
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 */
  if (unlikely(__pyx_v_wpnorm == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 380; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wpnorm), __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":381
 * 
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *     s[n] = wpnorm
 *     return True
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

  /* "scipy/linalg/_decomp_update.pyx":382
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm             # <<<<<<<<<<<<<<
 *     return True
 * 
 */
  (__pyx_v_s[__pyx_v_n]) = __pyx_v_wpnorm;

  /* "scipy/linalg/_decomp_update.pyx":383
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 *     return True             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":327
 * #------------------------------------------------------------------------------
 * 
 * cdef bint reorthx(int m, int n, blas_t* q, int* qs, bint qisF, int j, blas_t* u, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.linalg._decomp_update.reorthx", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, int __pyx_v_j, __pyx_t_float_complex *__pyx_v_u, __pyx_t_float_complex *__pyx_v_s) {
  __pyx_t_float_complex __pyx_v_wnorm;
  __pyx_t_float_complex __pyx_v_wpnorm;
  char *__pyx_v_T;
  char *__pyx_v_N;
  char *__pyx_v_C;
  int __pyx_v_ss;
  __pyx_t_float_complex __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  int __pyx_t_2;
  __pyx_t_float_complex __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":330
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":331
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":332
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":333
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":334
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # u starts out as the jth basis vector.
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 334; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = __pyx_t_float_complex_from_parts(((float)(1.0 / __pyx_t_1)), 0);

  /* "scipy/linalg/_decomp_update.pyx":337
 * 
 *     # u starts out as the jth basis vector.
 *     u[j] = 1             # <<<<<<<<<<<<<<
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 */
  (__pyx_v_u[__pyx_v_j]) = __pyx_t_float_complex_from_parts(1, 0);

  /* "scipy/linalg/_decomp_update.pyx":340
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)             # <<<<<<<<<<<<<<
 *     blas_t_conj(n, s, &ss)
 * 
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_n, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":341
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)
 *     blas_t_conj(n, s, &ss)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_s, (&__pyx_v_ss));

  /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":346
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_s, 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":348
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, 1)
 * 
 */
  /*else*/ {
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, 1);
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":349
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 *     wnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  __pyx_v_wnorm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  __pyx_t_2 = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":352
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)             # <<<<<<<<<<<<<<
 *         s[n] = wnorm
 *         return True
 */
    __pyx_t_3 = __pyx_t_float_complex_from_parts(1, 0);
    if (unlikely(__Pyx_c_is_zerof(__pyx_v_wnorm))) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 352; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quotf(__pyx_t_3, __pyx_v_wnorm), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":353
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm             # <<<<<<<<<<<<<<
 *         return True
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __pyx_v_wnorm;

    /* "scipy/linalg/_decomp_update.pyx":354
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 *         return True             # <<<<<<<<<<<<<<
 * 
 *     # if the above check failed, try one reorthogonalization
 */
    __pyx_r = 1;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":361
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)
 *     else:
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_C, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_u, 1, __pyx_t_float_complex_from_parts(0, 0), (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":362
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, (__pyx_v_qs[1]), (__pyx_v_s + __pyx_v_n), 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
    goto __pyx_L5;
  }

  /* "scipy/linalg/_decomp_update.pyx":364
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":367
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *         else:
 *             blas_t_conj(m, u, &ss)             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *             blas_t_conj(m, u, &ss)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, (&__pyx_v_ss));

    /* "scipy/linalg/_decomp_update.pyx":368
 *         else:
 *             blas_t_conj(m, u, &ss)
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_n, __pyx_v_u, 1, __pyx_t_float_complex_from_parts(0, 0), (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":369
 *             blas_t_conj(m, u, &ss)
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *             blas_t_conj(m, u, &ss)             # <<<<<<<<<<<<<<
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, (&__pyx_v_ss));

    /* "scipy/linalg/_decomp_update.pyx":370
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)             # <<<<<<<<<<<<<<
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 *     wpnorm = nrm2(m, u, 1)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, (__pyx_v_s + __pyx_v_n), (&__pyx_v_ss));

    /* "scipy/linalg/_decomp_update.pyx":371
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wpnorm = nrm2(m, u, 1)
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_n, (__pyx_v_s + __pyx_v_n), 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, 1);
  }
  __pyx_L5:;

  /* "scipy/linalg/_decomp_update.pyx":372
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 *     wpnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 */
  __pyx_v_wpnorm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  __pyx_t_2 = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_wpnorm, __Pyx_c_prodf(__pyx_v_wnorm, __pyx_v_inv_root2)) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":375
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)             # <<<<<<<<<<<<<<
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __pyx_t_float_complex_from_parts(0, 0), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":376
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *         s[n] = 0
 *         return False
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":377
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0             # <<<<<<<<<<<<<<
 *         return False
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "scipy/linalg/_decomp_update.pyx":378
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 *         return False             # <<<<<<<<<<<<<<
 * 
 *     scal(m, 1/wpnorm, u, 1)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":380
 *         return False
 * 
 *     scal(m, 1/wpnorm, u, 1)             # <<<<<<<<<<<<<<
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 */
  __pyx_t_3 = __pyx_t_float_complex_from_parts(1, 0);
  if (unlikely(__Pyx_c_is_zerof(__pyx_v_wpnorm))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 380; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quotf(__pyx_t_3, __pyx_v_wpnorm), __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":381
 * 
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *     s[n] = wpnorm
 *     return True
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

  /* "scipy/linalg/_decomp_update.pyx":382
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm             # <<<<<<<<<<<<<<
 *     return True
 * 
 */
  (__pyx_v_s[__pyx_v_n]) = __pyx_v_wpnorm;

  /* "scipy/linalg/_decomp_update.pyx":383
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 *     return True             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":327
 * #------------------------------------------------------------------------------
 * 
 * cdef bint reorthx(int m, int n, blas_t* q, int* qs, bint qisF, int j, blas_t* u, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.linalg._decomp_update.reorthx", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, int __pyx_v_j, __pyx_t_double_complex *__pyx_v_u, __pyx_t_double_complex *__pyx_v_s) {
  __pyx_t_double_complex __pyx_v_wnorm;
  __pyx_t_double_complex __pyx_v_wpnorm;
  char *__pyx_v_T;
  char *__pyx_v_N;
  char *__pyx_v_C;
  int __pyx_v_ss;
  __pyx_t_double_complex __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  int __pyx_t_2;
  __pyx_t_double_complex __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":330
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":331
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":332
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":333
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":334
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # u starts out as the jth basis vector.
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 334; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = __pyx_t_double_complex_from_parts(((double)(1.0 / __pyx_t_1)), 0);

  /* "scipy/linalg/_decomp_update.pyx":337
 * 
 *     # u starts out as the jth basis vector.
 *     u[j] = 1             # <<<<<<<<<<<<<<
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 */
  (__pyx_v_u[__pyx_v_j]) = __pyx_t_double_complex_from_parts(1, 0);

  /* "scipy/linalg/_decomp_update.pyx":340
 * 
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)             # <<<<<<<<<<<<<<
 *     blas_t_conj(n, s, &ss)
 * 
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_n, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":341
 *     # s = Q.T.dot(u) = jth row of Q.
 *     copy(n, row(q, qs, j), qs[1], s, 1)
 *     blas_t_conj(n, s, &ss)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_s, (&__pyx_v_ss));

  /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":346
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_double_complex_from_parts(-1L, 0), __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_s, 1, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":345
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":348
 *         gemv(N, m, n, -1, q, qs[1], s, 1, 1, u, 1)
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, 1)
 * 
 */
  /*else*/ {
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, __pyx_t_double_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_u, 1);
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":349
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, 1)
 *     wnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  __pyx_v_wnorm = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  __pyx_t_2 = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":352
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)             # <<<<<<<<<<<<<<
 *         s[n] = wnorm
 *         return True
 */
    __pyx_t_3 = __pyx_t_double_complex_from_parts(1, 0);
    if (unlikely(__Pyx_c_is_zero(__pyx_v_wnorm))) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 352; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quot(__pyx_t_3, __pyx_v_wnorm), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":353
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm             # <<<<<<<<<<<<<<
 *         return True
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __pyx_v_wnorm;

    /* "scipy/linalg/_decomp_update.pyx":354
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 *         return True             # <<<<<<<<<<<<<<
 * 
 *     # if the above check failed, try one reorthogonalization
 */
    __pyx_r = 1;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":351
 *     wnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, 1)
 *         s[n] = wnorm
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":361
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)
 *     else:
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_C, __pyx_v_m, __pyx_v_n, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_q, (__pyx_v_qs[1]), __pyx_v_u, 1, __pyx_t_double_complex_from_parts(0, 0), (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":362
 *         else:
 *             gemv(C, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_double_complex_from_parts(-1L, 0), __pyx_v_q, (__pyx_v_qs[1]), (__pyx_v_s + __pyx_v_n), 1, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":357
 * 
 *     # if the above check failed, try one reorthogonalization
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, qs[1], u, 1, 0, s+n, 1)
 */
    goto __pyx_L5;
  }

  /* "scipy/linalg/_decomp_update.pyx":364
 *         gemv(N, m, n, -1, q, qs[1], s+n, 1, 1, u, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":367
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *         else:
 *             blas_t_conj(m, u, &ss)             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *             blas_t_conj(m, u, &ss)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, (&__pyx_v_ss));

    /* "scipy/linalg/_decomp_update.pyx":368
 *         else:
 *             blas_t_conj(m, u, &ss)
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_n, __pyx_v_u, 1, __pyx_t_double_complex_from_parts(0, 0), (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":369
 *             blas_t_conj(m, u, &ss)
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *             blas_t_conj(m, u, &ss)             # <<<<<<<<<<<<<<
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, (&__pyx_v_ss));

    /* "scipy/linalg/_decomp_update.pyx":370
 *             gemv(N, n, m, 1, q, n, u, 1, 0, s+n, 1)
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)             # <<<<<<<<<<<<<<
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 *     wpnorm = nrm2(m, u, 1)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, (__pyx_v_s + __pyx_v_n), (&__pyx_v_ss));

    /* "scipy/linalg/_decomp_update.pyx":371
 *             blas_t_conj(m, u, &ss)
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)             # <<<<<<<<<<<<<<
 *     wpnorm = nrm2(m, u, 1)
 * 
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, __pyx_t_double_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_n, (__pyx_v_s + __pyx_v_n), 1, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_u, 1);
  }
  __pyx_L5:;

  /* "scipy/linalg/_decomp_update.pyx":372
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, 1)
 *     wpnorm = nrm2(m, u, 1)             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 */
  __pyx_v_wpnorm = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  __pyx_t_2 = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_wpnorm, __Pyx_c_prod(__pyx_v_wnorm, __pyx_v_inv_root2)) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":375
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)             # <<<<<<<<<<<<<<
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __pyx_t_double_complex_from_parts(0, 0), __pyx_v_u, 1);

    /* "scipy/linalg/_decomp_update.pyx":376
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *         s[n] = 0
 *         return False
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":377
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0             # <<<<<<<<<<<<<<
 *         return False
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __pyx_t_double_complex_from_parts(0, 0);

    /* "scipy/linalg/_decomp_update.pyx":378
 *         axpy(n, 1, s, 1, s+n, 1)
 *         s[n] = 0
 *         return False             # <<<<<<<<<<<<<<
 * 
 *     scal(m, 1/wpnorm, u, 1)
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":374
 *     wpnorm = nrm2(m, u, 1)
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, 1)
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":380
 *         return False
 * 
 *     scal(m, 1/wpnorm, u, 1)             # <<<<<<<<<<<<<<
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 */
  __pyx_t_3 = __pyx_t_double_complex_from_parts(1, 0);
  if (unlikely(__Pyx_c_is_zero(__pyx_v_wpnorm))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 380; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quot(__pyx_t_3, __pyx_v_wpnorm), __pyx_v_u, 1);

  /* "scipy/linalg/_decomp_update.pyx":381
 * 
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *     s[n] = wpnorm
 *     return True
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

  /* "scipy/linalg/_decomp_update.pyx":382
 *     scal(m, 1/wpnorm, u, 1)
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm             # <<<<<<<<<<<<<<
 *     return True
 * 
 */
  (__pyx_v_s[__pyx_v_n]) = __pyx_v_wpnorm;

  /* "scipy/linalg/_decomp_update.pyx":383
 *     axpy(n, 1, s, 1, s+n, 1)
 *     s[n] = wpnorm
 *     return True             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":327
 * #------------------------------------------------------------------------------
 * 
 * cdef bint reorthx(int m, int n, blas_t* q, int* qs, bint qisF, int j, blas_t* u, blas_t* s) nogil:             # <<<<<<<<<<<<<<
 *     # U should be all zeros on entry., and m > 1
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.linalg._decomp_update.reorthx", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":385
 *     return True
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *                             blas_t* r, int* rs, int k, int p_eco,
 *                             int p_full) nogil:
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full) {
  CYTHON_UNUSED int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_argmin_row_norm;
  size_t __pyx_v_usize;
  float *__pyx_v_s;
  float *__pyx_v_u;
  int __pyx_v_us[2];
  int __pyx_v_ss[2];
  float __pyx_v_c;
  float __pyx_v_sn;
  float __pyx_v_min_row_norm;
  float __pyx_v_row_norm;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":389
 *                             int p_full) nogil:
 *     cdef int i, j, argmin_row_norm
 *     cdef size_t usize = (m + 3*n + 1) * sizeof(blas_t)             # <<<<<<<<<<<<<<
 *     cdef blas_t* s
 *     cdef blas_t* u
 */
  __pyx_v_usize = (((__pyx_v_m + (3 * __pyx_v_n)) + 1) * (sizeof(float)));

  /* "scipy/linalg/_decomp_update.pyx":397
 *     cdef blas_t c, sn, min_row_norm, row_norm
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)             # <<<<<<<<<<<<<<
 *     if not u:
 *         return MEMORY_ERROR
 */
  __pyx_v_u = ((float *)malloc(__pyx_v_usize));

  /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  __pyx_t_1 = ((!(__pyx_v_u != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":399
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *     s = u + m
 *     ss[0] = 1
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":400
 *     if not u:
 *         return MEMORY_ERROR
 *     s = u + m             # <<<<<<<<<<<<<<
 *     ss[0] = 1
 *     ss[1] = 0
 */
  __pyx_v_s = (__pyx_v_u + __pyx_v_m);

  /* "scipy/linalg/_decomp_update.pyx":401
 *         return MEMORY_ERROR
 *     s = u + m
 *     ss[0] = 1             # <<<<<<<<<<<<<<
 *     ss[1] = 0
 *     us[0] = 1
 */
  (__pyx_v_ss[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":402
 *     s = u + m
 *     ss[0] = 1
 *     ss[1] = 0             # <<<<<<<<<<<<<<
 *     us[0] = 1
 *     us[1] = 0
 */
  (__pyx_v_ss[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":403
 *     ss[0] = 1
 *     ss[1] = 0
 *     us[0] = 1             # <<<<<<<<<<<<<<
 *     us[1] = 0
 * 
 */
  (__pyx_v_us[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":404
 *     ss[1] = 0
 *     us[0] = 1
 *     us[1] = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p_eco):
 */
  (__pyx_v_us[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":406
 *     us[1] = 0
 * 
 *     for i in range(p_eco):             # <<<<<<<<<<<<<<
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 */
  __pyx_t_2 = __pyx_v_p_eco;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":407
 * 
 *     for i in range(p_eco):
 *         memset(u, 0, usize)             # <<<<<<<<<<<<<<
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 */
    memset(__pyx_v_u, 0, __pyx_v_usize);

    /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - 1)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":410
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 *             for j in range(k, m-1):             # <<<<<<<<<<<<<<
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 */
      __pyx_t_4 = (__pyx_v_m - 1);
      for (__pyx_t_5 = __pyx_v_k; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_j = __pyx_t_5;

        /* "scipy/linalg/_decomp_update.pyx":411
 *         if k != m-1:
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[1]));
      }

      /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    __pyx_t_1 = ((!(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, (__pyx_v_m - 1), __pyx_v_u, __pyx_v_s) != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":417
 *             # we want to use s[:n+1] but we need a vector into null(q)
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])             # <<<<<<<<<<<<<<
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 */
      __pyx_v_min_row_norm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, 0), (__pyx_v_qs[1]));

      /* "scipy/linalg/_decomp_update.pyx":418
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0             # <<<<<<<<<<<<<<
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 */
      __pyx_v_argmin_row_norm = 0;

      /* "scipy/linalg/_decomp_update.pyx":419
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0
 *             for j in range(1, m):             # <<<<<<<<<<<<<<
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 */
      __pyx_t_5 = __pyx_v_m;
      for (__pyx_t_6 = 1; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_j = __pyx_t_6;

        /* "scipy/linalg/_decomp_update.pyx":420
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])             # <<<<<<<<<<<<<<
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 */
        __pyx_v_row_norm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]));

        /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        __pyx_t_1 = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_row_norm, __pyx_v_min_row_norm) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":422
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm             # <<<<<<<<<<<<<<
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 */
          __pyx_v_min_row_norm = __pyx_v_row_norm;

          /* "scipy/linalg/_decomp_update.pyx":423
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j             # <<<<<<<<<<<<<<
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 */
          __pyx_v_argmin_row_norm = __pyx_v_j;

          /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        }
      }

      /* "scipy/linalg/_decomp_update.pyx":424
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 */
      memset(__pyx_v_u, 0, (__pyx_v_m * (sizeof(float))));

      /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      __pyx_t_1 = ((!(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_argmin_row_norm, __pyx_v_u, __pyx_v_s) != 0)) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":427
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 *                 libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 *                 return 0
 *             s[n] = 0
 */
        free(__pyx_v_u);

        /* "scipy/linalg/_decomp_update.pyx":428
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 *                 return 0             # <<<<<<<<<<<<<<
 *             s[n] = 0
 * 
 */
        __pyx_r = 0;
        goto __pyx_L0;

        /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":429
 *                 libc.stdlib.free(u)
 *                 return 0
 *             s[n] = 0             # <<<<<<<<<<<<<<
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))
 */
      (__pyx_v_s[__pyx_v_n]) = 0.0;

      /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":431
 *             s[n] = 0
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # what happens here...
 */
    memset((__pyx_v_s + (2 * __pyx_v_n)), 0, (__pyx_v_n * (sizeof(float))));

    /* "scipy/linalg/_decomp_update.pyx":434
 * 
 *         # what happens here...
 *         for j in range(n-1, -1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 */
    for (__pyx_t_5 = (__pyx_v_n - 1); __pyx_t_5 > -1L; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":435
 *         # what happens here...
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":436
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)             # <<<<<<<<<<<<<<
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1((__pyx_v_s + (2 * __pyx_v_n)), __pyx_v_ss, __pyx_v_j), (__pyx_v_ss[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":437
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 *         m -= 1
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - 1), __pyx_v_u, (__pyx_v_us[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
    }

    /* "scipy/linalg/_decomp_update.pyx":438
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(u)
 */
    __pyx_v_m = (__pyx_v_m - 1);
  }

  /* "scipy/linalg/_decomp_update.pyx":440
 *         m -= 1
 * 
 *     libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 * 
 *     if p_full:
 */
  free(__pyx_v_u);

  /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  __pyx_t_1 = (__pyx_v_p_full != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":443
 * 
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":444
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":385
 *     return True
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *                             blas_t* r, int* rs, int k, int p_eco,
 *                             int p_full) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full) {
  CYTHON_UNUSED int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_argmin_row_norm;
  size_t __pyx_v_usize;
  double *__pyx_v_s;
  double *__pyx_v_u;
  int __pyx_v_us[2];
  int __pyx_v_ss[2];
  double __pyx_v_c;
  double __pyx_v_sn;
  double __pyx_v_min_row_norm;
  double __pyx_v_row_norm;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":389
 *                             int p_full) nogil:
 *     cdef int i, j, argmin_row_norm
 *     cdef size_t usize = (m + 3*n + 1) * sizeof(blas_t)             # <<<<<<<<<<<<<<
 *     cdef blas_t* s
 *     cdef blas_t* u
 */
  __pyx_v_usize = (((__pyx_v_m + (3 * __pyx_v_n)) + 1) * (sizeof(double)));

  /* "scipy/linalg/_decomp_update.pyx":397
 *     cdef blas_t c, sn, min_row_norm, row_norm
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)             # <<<<<<<<<<<<<<
 *     if not u:
 *         return MEMORY_ERROR
 */
  __pyx_v_u = ((double *)malloc(__pyx_v_usize));

  /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  __pyx_t_1 = ((!(__pyx_v_u != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":399
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *     s = u + m
 *     ss[0] = 1
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":400
 *     if not u:
 *         return MEMORY_ERROR
 *     s = u + m             # <<<<<<<<<<<<<<
 *     ss[0] = 1
 *     ss[1] = 0
 */
  __pyx_v_s = (__pyx_v_u + __pyx_v_m);

  /* "scipy/linalg/_decomp_update.pyx":401
 *         return MEMORY_ERROR
 *     s = u + m
 *     ss[0] = 1             # <<<<<<<<<<<<<<
 *     ss[1] = 0
 *     us[0] = 1
 */
  (__pyx_v_ss[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":402
 *     s = u + m
 *     ss[0] = 1
 *     ss[1] = 0             # <<<<<<<<<<<<<<
 *     us[0] = 1
 *     us[1] = 0
 */
  (__pyx_v_ss[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":403
 *     ss[0] = 1
 *     ss[1] = 0
 *     us[0] = 1             # <<<<<<<<<<<<<<
 *     us[1] = 0
 * 
 */
  (__pyx_v_us[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":404
 *     ss[1] = 0
 *     us[0] = 1
 *     us[1] = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p_eco):
 */
  (__pyx_v_us[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":406
 *     us[1] = 0
 * 
 *     for i in range(p_eco):             # <<<<<<<<<<<<<<
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 */
  __pyx_t_2 = __pyx_v_p_eco;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":407
 * 
 *     for i in range(p_eco):
 *         memset(u, 0, usize)             # <<<<<<<<<<<<<<
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 */
    memset(__pyx_v_u, 0, __pyx_v_usize);

    /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - 1)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":410
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 *             for j in range(k, m-1):             # <<<<<<<<<<<<<<
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 */
      __pyx_t_4 = (__pyx_v_m - 1);
      for (__pyx_t_5 = __pyx_v_k; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_j = __pyx_t_5;

        /* "scipy/linalg/_decomp_update.pyx":411
 *         if k != m-1:
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[1]));
      }

      /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    __pyx_t_1 = ((!(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, (__pyx_v_m - 1), __pyx_v_u, __pyx_v_s) != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":417
 *             # we want to use s[:n+1] but we need a vector into null(q)
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])             # <<<<<<<<<<<<<<
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 */
      __pyx_v_min_row_norm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, 0), (__pyx_v_qs[1]));

      /* "scipy/linalg/_decomp_update.pyx":418
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0             # <<<<<<<<<<<<<<
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 */
      __pyx_v_argmin_row_norm = 0;

      /* "scipy/linalg/_decomp_update.pyx":419
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0
 *             for j in range(1, m):             # <<<<<<<<<<<<<<
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 */
      __pyx_t_5 = __pyx_v_m;
      for (__pyx_t_6 = 1; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_j = __pyx_t_6;

        /* "scipy/linalg/_decomp_update.pyx":420
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])             # <<<<<<<<<<<<<<
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 */
        __pyx_v_row_norm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]));

        /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        __pyx_t_1 = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_row_norm, __pyx_v_min_row_norm) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":422
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm             # <<<<<<<<<<<<<<
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 */
          __pyx_v_min_row_norm = __pyx_v_row_norm;

          /* "scipy/linalg/_decomp_update.pyx":423
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j             # <<<<<<<<<<<<<<
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 */
          __pyx_v_argmin_row_norm = __pyx_v_j;

          /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        }
      }

      /* "scipy/linalg/_decomp_update.pyx":424
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 */
      memset(__pyx_v_u, 0, (__pyx_v_m * (sizeof(double))));

      /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      __pyx_t_1 = ((!(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_argmin_row_norm, __pyx_v_u, __pyx_v_s) != 0)) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":427
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 *                 libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 *                 return 0
 *             s[n] = 0
 */
        free(__pyx_v_u);

        /* "scipy/linalg/_decomp_update.pyx":428
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 *                 return 0             # <<<<<<<<<<<<<<
 *             s[n] = 0
 * 
 */
        __pyx_r = 0;
        goto __pyx_L0;

        /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":429
 *                 libc.stdlib.free(u)
 *                 return 0
 *             s[n] = 0             # <<<<<<<<<<<<<<
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))
 */
      (__pyx_v_s[__pyx_v_n]) = 0.0;

      /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":431
 *             s[n] = 0
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # what happens here...
 */
    memset((__pyx_v_s + (2 * __pyx_v_n)), 0, (__pyx_v_n * (sizeof(double))));

    /* "scipy/linalg/_decomp_update.pyx":434
 * 
 *         # what happens here...
 *         for j in range(n-1, -1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 */
    for (__pyx_t_5 = (__pyx_v_n - 1); __pyx_t_5 > -1L; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":435
 *         # what happens here...
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":436
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)             # <<<<<<<<<<<<<<
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1((__pyx_v_s + (2 * __pyx_v_n)), __pyx_v_ss, __pyx_v_j), (__pyx_v_ss[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":437
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 *         m -= 1
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - 1), __pyx_v_u, (__pyx_v_us[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
    }

    /* "scipy/linalg/_decomp_update.pyx":438
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(u)
 */
    __pyx_v_m = (__pyx_v_m - 1);
  }

  /* "scipy/linalg/_decomp_update.pyx":440
 *         m -= 1
 * 
 *     libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 * 
 *     if p_full:
 */
  free(__pyx_v_u);

  /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  __pyx_t_1 = (__pyx_v_p_full != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":443
 * 
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":444
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":385
 *     return True
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *                             blas_t* r, int* rs, int k, int p_eco,
 *                             int p_full) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full) {
  CYTHON_UNUSED int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_argmin_row_norm;
  size_t __pyx_v_usize;
  __pyx_t_float_complex *__pyx_v_s;
  __pyx_t_float_complex *__pyx_v_u;
  int __pyx_v_us[2];
  int __pyx_v_ss[2];
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_sn;
  __pyx_t_float_complex __pyx_v_min_row_norm;
  __pyx_t_float_complex __pyx_v_row_norm;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":389
 *                             int p_full) nogil:
 *     cdef int i, j, argmin_row_norm
 *     cdef size_t usize = (m + 3*n + 1) * sizeof(blas_t)             # <<<<<<<<<<<<<<
 *     cdef blas_t* s
 *     cdef blas_t* u
 */
  __pyx_v_usize = (((__pyx_v_m + (3 * __pyx_v_n)) + 1) * (sizeof(__pyx_t_float_complex)));

  /* "scipy/linalg/_decomp_update.pyx":397
 *     cdef blas_t c, sn, min_row_norm, row_norm
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)             # <<<<<<<<<<<<<<
 *     if not u:
 *         return MEMORY_ERROR
 */
  __pyx_v_u = ((__pyx_t_float_complex *)malloc(__pyx_v_usize));

  /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  __pyx_t_1 = ((!(__pyx_v_u != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":399
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *     s = u + m
 *     ss[0] = 1
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":400
 *     if not u:
 *         return MEMORY_ERROR
 *     s = u + m             # <<<<<<<<<<<<<<
 *     ss[0] = 1
 *     ss[1] = 0
 */
  __pyx_v_s = (__pyx_v_u + __pyx_v_m);

  /* "scipy/linalg/_decomp_update.pyx":401
 *         return MEMORY_ERROR
 *     s = u + m
 *     ss[0] = 1             # <<<<<<<<<<<<<<
 *     ss[1] = 0
 *     us[0] = 1
 */
  (__pyx_v_ss[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":402
 *     s = u + m
 *     ss[0] = 1
 *     ss[1] = 0             # <<<<<<<<<<<<<<
 *     us[0] = 1
 *     us[1] = 0
 */
  (__pyx_v_ss[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":403
 *     ss[0] = 1
 *     ss[1] = 0
 *     us[0] = 1             # <<<<<<<<<<<<<<
 *     us[1] = 0
 * 
 */
  (__pyx_v_us[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":404
 *     ss[1] = 0
 *     us[0] = 1
 *     us[1] = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p_eco):
 */
  (__pyx_v_us[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":406
 *     us[1] = 0
 * 
 *     for i in range(p_eco):             # <<<<<<<<<<<<<<
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 */
  __pyx_t_2 = __pyx_v_p_eco;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":407
 * 
 *     for i in range(p_eco):
 *         memset(u, 0, usize)             # <<<<<<<<<<<<<<
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 */
    memset(__pyx_v_u, 0, __pyx_v_usize);

    /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - 1)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":410
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 *             for j in range(k, m-1):             # <<<<<<<<<<<<<<
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 */
      __pyx_t_4 = (__pyx_v_m - 1);
      for (__pyx_t_5 = __pyx_v_k; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_j = __pyx_t_5;

        /* "scipy/linalg/_decomp_update.pyx":411
 *         if k != m-1:
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[1]));
      }

      /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    __pyx_t_1 = ((!(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, (__pyx_v_m - 1), __pyx_v_u, __pyx_v_s) != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":417
 *             # we want to use s[:n+1] but we need a vector into null(q)
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])             # <<<<<<<<<<<<<<
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 */
      __pyx_v_min_row_norm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, 0), (__pyx_v_qs[1]));

      /* "scipy/linalg/_decomp_update.pyx":418
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0             # <<<<<<<<<<<<<<
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 */
      __pyx_v_argmin_row_norm = 0;

      /* "scipy/linalg/_decomp_update.pyx":419
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0
 *             for j in range(1, m):             # <<<<<<<<<<<<<<
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 */
      __pyx_t_5 = __pyx_v_m;
      for (__pyx_t_6 = 1; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_j = __pyx_t_6;

        /* "scipy/linalg/_decomp_update.pyx":420
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])             # <<<<<<<<<<<<<<
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 */
        __pyx_v_row_norm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]));

        /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        __pyx_t_1 = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_row_norm, __pyx_v_min_row_norm) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":422
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm             # <<<<<<<<<<<<<<
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 */
          __pyx_v_min_row_norm = __pyx_v_row_norm;

          /* "scipy/linalg/_decomp_update.pyx":423
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j             # <<<<<<<<<<<<<<
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 */
          __pyx_v_argmin_row_norm = __pyx_v_j;

          /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        }
      }

      /* "scipy/linalg/_decomp_update.pyx":424
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 */
      memset(__pyx_v_u, 0, (__pyx_v_m * (sizeof(__pyx_t_float_complex))));

      /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      __pyx_t_1 = ((!(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_argmin_row_norm, __pyx_v_u, __pyx_v_s) != 0)) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":427
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 *                 libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 *                 return 0
 *             s[n] = 0
 */
        free(__pyx_v_u);

        /* "scipy/linalg/_decomp_update.pyx":428
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 *                 return 0             # <<<<<<<<<<<<<<
 *             s[n] = 0
 * 
 */
        __pyx_r = 0;
        goto __pyx_L0;

        /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":429
 *                 libc.stdlib.free(u)
 *                 return 0
 *             s[n] = 0             # <<<<<<<<<<<<<<
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))
 */
      (__pyx_v_s[__pyx_v_n]) = __pyx_t_float_complex_from_parts(0, 0);

      /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":431
 *             s[n] = 0
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # what happens here...
 */
    memset((__pyx_v_s + (2 * __pyx_v_n)), 0, (__pyx_v_n * (sizeof(__pyx_t_float_complex))));

    /* "scipy/linalg/_decomp_update.pyx":434
 * 
 *         # what happens here...
 *         for j in range(n-1, -1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 */
    for (__pyx_t_5 = (__pyx_v_n - 1); __pyx_t_5 > -1L; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":435
 *         # what happens here...
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":436
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)             # <<<<<<<<<<<<<<
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1((__pyx_v_s + (2 * __pyx_v_n)), __pyx_v_ss, __pyx_v_j), (__pyx_v_ss[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":437
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 *         m -= 1
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - 1), __pyx_v_u, (__pyx_v_us[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_sn));
    }

    /* "scipy/linalg/_decomp_update.pyx":438
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(u)
 */
    __pyx_v_m = (__pyx_v_m - 1);
  }

  /* "scipy/linalg/_decomp_update.pyx":440
 *         m -= 1
 * 
 *     libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 * 
 *     if p_full:
 */
  free(__pyx_v_u);

  /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  __pyx_t_1 = (__pyx_v_p_full != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":443
 * 
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":444
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":385
 *     return True
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *                             blas_t* r, int* rs, int k, int p_eco,
 *                             int p_full) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_delete(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full) {
  CYTHON_UNUSED int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_argmin_row_norm;
  size_t __pyx_v_usize;
  __pyx_t_double_complex *__pyx_v_s;
  __pyx_t_double_complex *__pyx_v_u;
  int __pyx_v_us[2];
  int __pyx_v_ss[2];
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_sn;
  __pyx_t_double_complex __pyx_v_min_row_norm;
  __pyx_t_double_complex __pyx_v_row_norm;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":389
 *                             int p_full) nogil:
 *     cdef int i, j, argmin_row_norm
 *     cdef size_t usize = (m + 3*n + 1) * sizeof(blas_t)             # <<<<<<<<<<<<<<
 *     cdef blas_t* s
 *     cdef blas_t* u
 */
  __pyx_v_usize = (((__pyx_v_m + (3 * __pyx_v_n)) + 1) * (sizeof(__pyx_t_double_complex)));

  /* "scipy/linalg/_decomp_update.pyx":397
 *     cdef blas_t c, sn, min_row_norm, row_norm
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)             # <<<<<<<<<<<<<<
 *     if not u:
 *         return MEMORY_ERROR
 */
  __pyx_v_u = ((__pyx_t_double_complex *)malloc(__pyx_v_usize));

  /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  __pyx_t_1 = ((!(__pyx_v_u != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":399
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *     s = u + m
 *     ss[0] = 1
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":398
 * 
 *     u = <blas_t*>libc.stdlib.malloc(usize)
 *     if not u:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 *     s = u + m
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":400
 *     if not u:
 *         return MEMORY_ERROR
 *     s = u + m             # <<<<<<<<<<<<<<
 *     ss[0] = 1
 *     ss[1] = 0
 */
  __pyx_v_s = (__pyx_v_u + __pyx_v_m);

  /* "scipy/linalg/_decomp_update.pyx":401
 *         return MEMORY_ERROR
 *     s = u + m
 *     ss[0] = 1             # <<<<<<<<<<<<<<
 *     ss[1] = 0
 *     us[0] = 1
 */
  (__pyx_v_ss[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":402
 *     s = u + m
 *     ss[0] = 1
 *     ss[1] = 0             # <<<<<<<<<<<<<<
 *     us[0] = 1
 *     us[1] = 0
 */
  (__pyx_v_ss[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":403
 *     ss[0] = 1
 *     ss[1] = 0
 *     us[0] = 1             # <<<<<<<<<<<<<<
 *     us[1] = 0
 * 
 */
  (__pyx_v_us[0]) = 1;

  /* "scipy/linalg/_decomp_update.pyx":404
 *     ss[1] = 0
 *     us[0] = 1
 *     us[1] = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p_eco):
 */
  (__pyx_v_us[1]) = 0;

  /* "scipy/linalg/_decomp_update.pyx":406
 *     us[1] = 0
 * 
 *     for i in range(p_eco):             # <<<<<<<<<<<<<<
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 */
  __pyx_t_2 = __pyx_v_p_eco;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":407
 * 
 *     for i in range(p_eco):
 *         memset(u, 0, usize)             # <<<<<<<<<<<<<<
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 */
    memset(__pyx_v_u, 0, __pyx_v_usize);

    /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - 1)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":410
 *         # permute q such that row k is the last row.
 *         if k != m-1:
 *             for j in range(k, m-1):             # <<<<<<<<<<<<<<
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 */
      __pyx_t_4 = (__pyx_v_m - 1);
      for (__pyx_t_5 = __pyx_v_k; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
        __pyx_v_j = __pyx_t_5;

        /* "scipy/linalg/_decomp_update.pyx":411
 *         if k != m-1:
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[1]));
      }

      /* "scipy/linalg/_decomp_update.pyx":409
 *         memset(u, 0, usize)
 *         # permute q such that row k is the last row.
 *         if k != m-1:             # <<<<<<<<<<<<<<
 *             for j in range(k, m-1):
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    __pyx_t_1 = ((!(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, (__pyx_v_m - 1), __pyx_v_u, __pyx_v_s) != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":417
 *             # we want to use s[:n+1] but we need a vector into null(q)
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])             # <<<<<<<<<<<<<<
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 */
      __pyx_v_min_row_norm = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, 0), (__pyx_v_qs[1]));

      /* "scipy/linalg/_decomp_update.pyx":418
 *             # find the row of q with the smallest norm and try that. (Daniel, p785)
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0             # <<<<<<<<<<<<<<
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 */
      __pyx_v_argmin_row_norm = 0;

      /* "scipy/linalg/_decomp_update.pyx":419
 *             min_row_norm = nrm2(n, row(q, qs, 0), qs[1])
 *             argmin_row_norm = 0
 *             for j in range(1, m):             # <<<<<<<<<<<<<<
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 */
      __pyx_t_5 = __pyx_v_m;
      for (__pyx_t_6 = 1; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_j = __pyx_t_6;

        /* "scipy/linalg/_decomp_update.pyx":420
 *             argmin_row_norm = 0
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])             # <<<<<<<<<<<<<<
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 */
        __pyx_v_row_norm = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]));

        /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        __pyx_t_1 = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_row_norm, __pyx_v_min_row_norm) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":422
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm             # <<<<<<<<<<<<<<
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 */
          __pyx_v_min_row_norm = __pyx_v_row_norm;

          /* "scipy/linalg/_decomp_update.pyx":423
 *                 if blas_t_less_than(row_norm, min_row_norm):
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j             # <<<<<<<<<<<<<<
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 */
          __pyx_v_argmin_row_norm = __pyx_v_j;

          /* "scipy/linalg/_decomp_update.pyx":421
 *             for j in range(1, m):
 *                 row_norm = nrm2(n, row(q, qs, j), qs[1])
 *                 if blas_t_less_than(row_norm, min_row_norm):             # <<<<<<<<<<<<<<
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 */
        }
      }

      /* "scipy/linalg/_decomp_update.pyx":424
 *                     min_row_norm = row_norm
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 */
      memset(__pyx_v_u, 0, (__pyx_v_m * (sizeof(__pyx_t_double_complex))));

      /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      __pyx_t_1 = ((!(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorthx(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_argmin_row_norm, __pyx_v_u, __pyx_v_s) != 0)) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":427
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):
 *                 # failed, quit.
 *                 libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 *                 return 0
 *             s[n] = 0
 */
        free(__pyx_v_u);

        /* "scipy/linalg/_decomp_update.pyx":428
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 *                 return 0             # <<<<<<<<<<<<<<
 *             s[n] = 0
 * 
 */
        __pyx_r = 0;
        goto __pyx_L0;

        /* "scipy/linalg/_decomp_update.pyx":425
 *                     argmin_row_norm = j
 *             memset(u, 0, m*sizeof(blas_t))
 *             if not reorthx(m, n, q, qs, qisF, argmin_row_norm, u, s):             # <<<<<<<<<<<<<<
 *                 # failed, quit.
 *                 libc.stdlib.free(u)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":429
 *                 libc.stdlib.free(u)
 *                 return 0
 *             s[n] = 0             # <<<<<<<<<<<<<<
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))
 */
      (__pyx_v_s[__pyx_v_n]) = __pyx_t_double_complex_from_parts(0, 0);

      /* "scipy/linalg/_decomp_update.pyx":413
 *                 swap(n, row(q, qs, j), qs[1], row(q, qs, j+1), qs[1])
 * 
 *         if not reorthx(m, n, q, qs, qisF, m-1, u, s):             # <<<<<<<<<<<<<<
 *             # if we get here it means that this basis vector lies in span(q).
 *             # we want to use s[:n+1] but we need a vector into null(q)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":431
 *             s[n] = 0
 * 
 *         memset(s+2*n, 0, n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # what happens here...
 */
    memset((__pyx_v_s + (2 * __pyx_v_n)), 0, (__pyx_v_n * (sizeof(__pyx_t_double_complex))));

    /* "scipy/linalg/_decomp_update.pyx":434
 * 
 *         # what happens here...
 *         for j in range(n-1, -1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 */
    for (__pyx_t_5 = (__pyx_v_n - 1); __pyx_t_5 > -1L; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":435
 *         # what happens here...
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":436
 *         for j in range(n-1, -1, -1):
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)             # <<<<<<<<<<<<<<
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1((__pyx_v_s + (2 * __pyx_v_n)), __pyx_v_ss, __pyx_v_j), (__pyx_v_ss[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":437
 *             lartg(index1(s, ss, n), index1(s, ss, j), &c, &sn)
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 *         m -= 1
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - 1), __pyx_v_u, (__pyx_v_us[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_sn));
    }

    /* "scipy/linalg/_decomp_update.pyx":438
 *             rot(n-j, index1(s+2*n, ss, j), ss[0], index2(r, rs,j, j), rs[1], c, sn)
 *             rot(m-1, u, us[0], col(q, qs, j), qs[0], c, sn.conjugate())
 *         m -= 1             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(u)
 */
    __pyx_v_m = (__pyx_v_m - 1);
  }

  /* "scipy/linalg/_decomp_update.pyx":440
 *         m -= 1
 * 
 *     libc.stdlib.free(u)             # <<<<<<<<<<<<<<
 * 
 *     if p_full:
 */
  free(__pyx_v_u);

  /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  __pyx_t_1 = (__pyx_v_p_full != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":443
 * 
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)             # <<<<<<<<<<<<<<
 *     return 1
 * 
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":442
 *     libc.stdlib.free(u)
 * 
 *     if p_full:             # <<<<<<<<<<<<<<
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":444
 *     if p_full:
 *         qr_block_row_delete(m, n, q, qs, r, rs, k, p_full)
 *     return 1             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,
 */
  __pyx_r = 1;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":385
 *     return True
 * 
 * cdef int thin_qr_row_delete(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *                             blas_t* r, int* rs, int k, int p_eco,
 *                             int p_full) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":446
 *     return 1
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  float *__pyx_v_W;
  int *__pyx_v_ws;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  __pyx_t_1 = ((__pyx_v_k != 0) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":454
 * 
 *     if k != 0:
 *         for j in range(k, 0, -1):             # <<<<<<<<<<<<<<
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
    for (__pyx_t_2 = __pyx_v_k; __pyx_t_2 > 0; __pyx_t_2-=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":455
 *     if k != 0:
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, ((__pyx_v_j + __pyx_v_p) - 1)), (__pyx_v_qs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
    }

    /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":458
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q             # <<<<<<<<<<<<<<
 *     ws = qs
 * 
 */
  __pyx_v_W = __pyx_v_q;

  /* "scipy/linalg/_decomp_update.pyx":459
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q
 *     ws = qs             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p):
 */
  __pyx_v_ws = __pyx_v_qs;

  /* "scipy/linalg/_decomp_update.pyx":461
 *     ws = qs
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":462
 * 
 *     for j in range(p):
 *         blas_t_conj(m, row(W, ws, j), &ws[1])             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p):
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_W, __pyx_v_ws, __pyx_v_j), (&(__pyx_v_ws[1])));
  }

  /* "scipy/linalg/_decomp_update.pyx":464
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 *     for i in range(p):             # <<<<<<<<<<<<<<
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":465
 * 
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 * 
 */
    __pyx_t_4 = (__pyx_v_i - 1);
    for (__pyx_t_5 = (__pyx_v_m - 2); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":466
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *             # update W
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

      /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      __pyx_t_1 = (((__pyx_v_i + 1) < __pyx_v_p) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":470
 *             # update W
 *             if i+1 < p:
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],             # <<<<<<<<<<<<<<
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 * 
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), __pyx_v_j), (__pyx_v_ws[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), (__pyx_v_j + 1)), (__pyx_v_ws[0]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      __pyx_t_1 = (((__pyx_v_j - __pyx_v_i) < __pyx_v_n) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":475
 *             # update r if there is a nonzero row.
 *             if j-i < n:
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 * 
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) + __pyx_v_i), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":479
 * 
 *             # update q
 *             rot(m-p, index2(q, qs, p, j), qs[0], index2(q, qs, p, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, s.conjugate())
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - __pyx_v_p), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":446
 *     return 1
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  double *__pyx_v_W;
  int *__pyx_v_ws;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  __pyx_t_1 = ((__pyx_v_k != 0) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":454
 * 
 *     if k != 0:
 *         for j in range(k, 0, -1):             # <<<<<<<<<<<<<<
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
    for (__pyx_t_2 = __pyx_v_k; __pyx_t_2 > 0; __pyx_t_2-=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":455
 *     if k != 0:
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, ((__pyx_v_j + __pyx_v_p) - 1)), (__pyx_v_qs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
    }

    /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":458
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q             # <<<<<<<<<<<<<<
 *     ws = qs
 * 
 */
  __pyx_v_W = __pyx_v_q;

  /* "scipy/linalg/_decomp_update.pyx":459
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q
 *     ws = qs             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p):
 */
  __pyx_v_ws = __pyx_v_qs;

  /* "scipy/linalg/_decomp_update.pyx":461
 *     ws = qs
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":462
 * 
 *     for j in range(p):
 *         blas_t_conj(m, row(W, ws, j), &ws[1])             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p):
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_W, __pyx_v_ws, __pyx_v_j), (&(__pyx_v_ws[1])));
  }

  /* "scipy/linalg/_decomp_update.pyx":464
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 *     for i in range(p):             # <<<<<<<<<<<<<<
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":465
 * 
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 * 
 */
    __pyx_t_4 = (__pyx_v_i - 1);
    for (__pyx_t_5 = (__pyx_v_m - 2); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":466
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *             # update W
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

      /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      __pyx_t_1 = (((__pyx_v_i + 1) < __pyx_v_p) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":470
 *             # update W
 *             if i+1 < p:
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],             # <<<<<<<<<<<<<<
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 * 
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), __pyx_v_j), (__pyx_v_ws[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), (__pyx_v_j + 1)), (__pyx_v_ws[0]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      __pyx_t_1 = (((__pyx_v_j - __pyx_v_i) < __pyx_v_n) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":475
 *             # update r if there is a nonzero row.
 *             if j-i < n:
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 * 
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) + __pyx_v_i), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":479
 * 
 *             # update q
 *             rot(m-p, index2(q, qs, p, j), qs[0], index2(q, qs, p, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, s.conjugate())
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - __pyx_v_p), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":446
 *     return 1
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  __pyx_t_float_complex *__pyx_v_W;
  int *__pyx_v_ws;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  __pyx_t_1 = ((__pyx_v_k != 0) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":454
 * 
 *     if k != 0:
 *         for j in range(k, 0, -1):             # <<<<<<<<<<<<<<
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
    for (__pyx_t_2 = __pyx_v_k; __pyx_t_2 > 0; __pyx_t_2-=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":455
 *     if k != 0:
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, ((__pyx_v_j + __pyx_v_p) - 1)), (__pyx_v_qs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
    }

    /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":458
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q             # <<<<<<<<<<<<<<
 *     ws = qs
 * 
 */
  __pyx_v_W = __pyx_v_q;

  /* "scipy/linalg/_decomp_update.pyx":459
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q
 *     ws = qs             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p):
 */
  __pyx_v_ws = __pyx_v_qs;

  /* "scipy/linalg/_decomp_update.pyx":461
 *     ws = qs
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":462
 * 
 *     for j in range(p):
 *         blas_t_conj(m, row(W, ws, j), &ws[1])             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p):
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_W, __pyx_v_ws, __pyx_v_j), (&(__pyx_v_ws[1])));
  }

  /* "scipy/linalg/_decomp_update.pyx":464
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 *     for i in range(p):             # <<<<<<<<<<<<<<
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":465
 * 
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 * 
 */
    __pyx_t_4 = (__pyx_v_i - 1);
    for (__pyx_t_5 = (__pyx_v_m - 2); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":466
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *             # update W
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

      /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      __pyx_t_1 = (((__pyx_v_i + 1) < __pyx_v_p) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":470
 *             # update W
 *             if i+1 < p:
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],             # <<<<<<<<<<<<<<
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 * 
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), __pyx_v_j), (__pyx_v_ws[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), (__pyx_v_j + 1)), (__pyx_v_ws[0]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      __pyx_t_1 = (((__pyx_v_j - __pyx_v_i) < __pyx_v_n) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":475
 *             # update r if there is a nonzero row.
 *             if j-i < n:
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 * 
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) + __pyx_v_i), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":479
 * 
 *             # update q
 *             rot(m-p, index2(q, qs, p, j), qs[0], index2(q, qs, p, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, s.conjugate())
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - __pyx_v_p), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":446
 *     return 1
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_delete(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  __pyx_t_double_complex *__pyx_v_W;
  int *__pyx_v_ws;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  __pyx_t_1 = ((__pyx_v_k != 0) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":454
 * 
 *     if k != 0:
 *         for j in range(k, 0, -1):             # <<<<<<<<<<<<<<
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
    for (__pyx_t_2 = __pyx_v_k; __pyx_t_2 > 0; __pyx_t_2-=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":455
 *     if k != 0:
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, ((__pyx_v_j + __pyx_v_p) - 1)), (__pyx_v_qs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
    }

    /* "scipy/linalg/_decomp_update.pyx":453
 *     cdef int* ws
 * 
 *     if k != 0:             # <<<<<<<<<<<<<<
 *         for j in range(k, 0, -1):
 *             swap(m, row(q, qs, j+p-1), qs[1], row(q, qs, j-1), qs[1])
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":458
 * 
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q             # <<<<<<<<<<<<<<
 *     ws = qs
 * 
 */
  __pyx_v_W = __pyx_v_q;

  /* "scipy/linalg/_decomp_update.pyx":459
 *     # W is the block of rows to be removed from q, has shape, (p,m)
 *     W = q
 *     ws = qs             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p):
 */
  __pyx_v_ws = __pyx_v_qs;

  /* "scipy/linalg/_decomp_update.pyx":461
 *     ws = qs
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":462
 * 
 *     for j in range(p):
 *         blas_t_conj(m, row(W, ws, j), &ws[1])             # <<<<<<<<<<<<<<
 * 
 *     for i in range(p):
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_W, __pyx_v_ws, __pyx_v_j), (&(__pyx_v_ws[1])));
  }

  /* "scipy/linalg/_decomp_update.pyx":464
 *         blas_t_conj(m, row(W, ws, j), &ws[1])
 * 
 *     for i in range(p):             # <<<<<<<<<<<<<<
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 */
  __pyx_t_2 = __pyx_v_p;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":465
 * 
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)
 * 
 */
    __pyx_t_4 = (__pyx_v_i - 1);
    for (__pyx_t_5 = (__pyx_v_m - 2); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_j = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":466
 *     for i in range(p):
 *         for j in range(m-2, i-1, -1):
 *             lartg(index2(W, ws, i, j), index2(W, ws, i, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *             # update W
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, __pyx_v_i, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

      /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      __pyx_t_1 = (((__pyx_v_i + 1) < __pyx_v_p) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":470
 *             # update W
 *             if i+1 < p:
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],             # <<<<<<<<<<<<<<
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 * 
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), __pyx_v_j), (__pyx_v_ws[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_W, __pyx_v_ws, (__pyx_v_i + 1), (__pyx_v_j + 1)), (__pyx_v_ws[0]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":469
 * 
 *             # update W
 *             if i+1 < p:             # <<<<<<<<<<<<<<
 *                 rot(p-i-1, index2(W, ws, i+1, j), ws[0],
 *                     index2(W, ws, i+1, j+1), ws[0], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      __pyx_t_1 = (((__pyx_v_j - __pyx_v_i) < __pyx_v_n) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":475
 *             # update r if there is a nonzero row.
 *             if j-i < n:
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 * 
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) + __pyx_v_i), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j - __pyx_v_i)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":474
 * 
 *             # update r if there is a nonzero row.
 *             if j-i < n:             # <<<<<<<<<<<<<<
 *                 rot(n-j+i, index2(r, rs, j, j-i), rs[1],
 *                     index2(r, rs, j+1, j-i), rs[1], c, s)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":479
 * 
 *             # update q
 *             rot(m-p, index2(q, qs, p, j), qs[0], index2(q, qs, p, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, s.conjugate())
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_m - __pyx_v_p), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_p, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":446
 *     return 1
 * 
 * cdef void qr_block_row_delete(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":482
 *                 c, s.conjugate())
 * 
 * cdef void qr_col_delete(int m, int o, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, int k) nogil:
 *     """
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  int __pyx_v_limit;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":489
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, n-1):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":491
 *     cdef int limit = min(o, n)
 * 
 *     for j in range(k, n-1):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_4 = (__pyx_v_n - 1);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_4; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":492
 * 
 *     for j in range(k, n-1):
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":494
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, (__pyx_v_n - 1), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k);

  /* "scipy/linalg/_decomp_update.pyx":482
 *                 c, s.conjugate())
 * 
 * cdef void qr_col_delete(int m, int o, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, int k) nogil:
 *     """
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  int __pyx_v_limit;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":489
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, n-1):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":491
 *     cdef int limit = min(o, n)
 * 
 *     for j in range(k, n-1):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_4 = (__pyx_v_n - 1);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_4; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":492
 * 
 *     for j in range(k, n-1):
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":494
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, (__pyx_v_n - 1), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k);

  /* "scipy/linalg/_decomp_update.pyx":482
 *                 c, s.conjugate())
 * 
 * cdef void qr_col_delete(int m, int o, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, int k) nogil:
 *     """
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  int __pyx_v_limit;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":489
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, n-1):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":491
 *     cdef int limit = min(o, n)
 * 
 *     for j in range(k, n-1):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_4 = (__pyx_v_n - 1);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_4; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":492
 * 
 *     for j in range(k, n-1):
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":494
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, (__pyx_v_n - 1), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k);

  /* "scipy/linalg/_decomp_update.pyx":482
 *                 c, s.conjugate())
 * 
 * cdef void qr_col_delete(int m, int o, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, int k) nogil:
 *     """
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  int __pyx_v_limit;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":489
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, n-1):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":491
 *     cdef int limit = min(o, n)
 * 
 *     for j in range(k, n-1):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_4 = (__pyx_v_n - 1);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_4; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":492
 * 
 *     for j in range(k, n-1):
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":494
 *         copy(limit, col(r, rs, j+1), rs[0], col(r, rs, j), rs[0])
 * 
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, (__pyx_v_n - 1), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k);

  /* "scipy/linalg/_decomp_update.pyx":482
 *                 c, s.conjugate())
 * 
 * cdef void qr_col_delete(int m, int o, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, int k) nogil:
 *     """
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":496
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     """
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_limit;
  float *__pyx_v_work;
  int __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":503
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":505
 *     cdef int limit = min(o, n)
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_worksize = __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":507
 *     cdef int worksize = max(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((float *)malloc((__pyx_v_worksize * (sizeof(float)))));

  /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":509
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # move the columns to removed to the end
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":512
 * 
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_2 = (__pyx_v_n - __pyx_v_p);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":513
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + __pyx_v_p)), (__pyx_v_rs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":515
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_o, (__pyx_v_n - __pyx_v_p), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":517
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":518
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":496
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     """
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_limit;
  double *__pyx_v_work;
  int __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":503
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":505
 *     cdef int limit = min(o, n)
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_worksize = __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":507
 *     cdef int worksize = max(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((double *)malloc((__pyx_v_worksize * (sizeof(double)))));

  /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":509
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # move the columns to removed to the end
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":512
 * 
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_2 = (__pyx_v_n - __pyx_v_p);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":513
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + __pyx_v_p)), (__pyx_v_rs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":515
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_o, (__pyx_v_n - __pyx_v_p), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":517
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":518
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":496
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     """
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_limit;
  __pyx_t_float_complex *__pyx_v_work;
  int __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":503
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":505
 *     cdef int limit = min(o, n)
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_worksize = __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":507
 *     cdef int worksize = max(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((__pyx_t_float_complex *)malloc((__pyx_v_worksize * (sizeof(__pyx_t_float_complex)))));

  /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":509
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # move the columns to removed to the end
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":512
 * 
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_2 = (__pyx_v_n - __pyx_v_p);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":513
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + __pyx_v_p)), (__pyx_v_rs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":515
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_o, (__pyx_v_n - __pyx_v_p), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":517
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":518
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":496
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     """
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_delete(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_limit;
  __pyx_t_double_complex *__pyx_v_work;
  int __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":503
 *     """
 *     cdef int j
 *     cdef int limit = min(o, n)             # <<<<<<<<<<<<<<
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_o;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":505
 *     cdef int limit = min(o, n)
 *     cdef blas_t* work
 *     cdef int worksize = max(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_worksize = __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":507
 *     cdef int worksize = max(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((__pyx_t_double_complex *)malloc((__pyx_v_worksize * (sizeof(__pyx_t_double_complex)))));

  /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":509
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # move the columns to removed to the end
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":508
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":512
 * 
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):             # <<<<<<<<<<<<<<
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 */
  __pyx_t_2 = (__pyx_v_n - __pyx_v_p);
  for (__pyx_t_3 = __pyx_v_k; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":513
 *     # move the columns to removed to the end
 *     for j in range(k, n-p):
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_limit, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + __pyx_v_p)), (__pyx_v_rs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":515
 *         copy(limit, col(r, rs, j+p), rs[0], col(r, rs, j), rs[0])
 * 
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_o, (__pyx_v_n - __pyx_v_p), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, __pyx_v_k, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":517
 *     p_subdiag_qr(m, o, n-p, q, qs, r, rs, k, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":518
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":496
 *     hessenberg_qr(m, n-1, q, qs, r, rs, k)
 * 
 * cdef int qr_block_col_delete(int m, int o, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     """
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":520
 *     return 0
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k) nogil:
 *     cdef int j
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, float *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k) {
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":525
 *     cdef blas_t c, s
 * 
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 */
  __pyx_t_1 = __pyx_v_n;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":526
 * 
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":528
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (__pyx_v_us[0]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":530
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_n), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":533
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_2 = (__pyx_v_m - 1); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":534
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":520
 *     return 0
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, double *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k) {
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":525
 *     cdef blas_t c, s
 * 
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 */
  __pyx_t_1 = __pyx_v_n;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":526
 * 
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":528
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (__pyx_v_us[0]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":530
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_n), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":533
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_2 = (__pyx_v_m - 1); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":534
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":520
 *     return 0
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":525
 *     cdef blas_t c, s
 * 
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 */
  __pyx_t_1 = __pyx_v_n;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":526
 * 
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":528
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (__pyx_v_us[0]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":530
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_n), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":533
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_2 = (__pyx_v_m - 1); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":534
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":520
 *     return 0
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":525
 *     cdef blas_t c, s
 * 
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 */
  __pyx_t_1 = __pyx_v_n;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":526
 * 
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":528
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (__pyx_v_us[0]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":527
 *     for j in range(n):
 *         lartg(index2(r, rs, j, j), index1(u, us, j), &c, &s)
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":530
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1], index1(u, us, j+1), us[0],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, n), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_n), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":533
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_2 = (__pyx_v_m - 1); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":534
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_n, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":520
 *     return 0
 * 
 * cdef void thin_qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":536
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":540
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":542
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":543
 * 
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":544
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":546
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_m - 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":549
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_4 = (__pyx_v_m - 1); __pyx_t_4 > __pyx_t_1; __pyx_t_4-=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":550
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":536
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":540
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":542
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":543
 * 
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":544
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":546
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_m - 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":549
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_4 = (__pyx_v_m - 1); __pyx_t_4 > __pyx_t_1; __pyx_t_4-=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":550
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":536
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":540
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":542
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":543
 * 
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":544
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":546
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_m - 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":549
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_4 = (__pyx_v_m - 1); __pyx_t_4 > __pyx_t_1; __pyx_t_4-=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":550
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":536
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":540
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":542
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":543
 * 
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":544
 *     for j in range(limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, m-1, j), &c, &s)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_m - 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":546
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1], index2(r, rs, m-1, j+1), rs[1],
 *                 c, s)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, m-1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # permute q
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_m - 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":549
 * 
 *     # permute q
 *     for j in range(m-1, k, -1):             # <<<<<<<<<<<<<<
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 */
  __pyx_t_1 = __pyx_v_k;
  for (__pyx_t_4 = (__pyx_v_m - 1); __pyx_t_4 > __pyx_t_1; __pyx_t_4-=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":550
 *     # permute q
 *     for j in range(m-1, k, -1):
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_swap(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_q, __pyx_v_qs, (__pyx_v_j - 1)), (__pyx_v_qs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":536
 *         swap(n, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef void qr_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":552
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                                   int* rs, blas_t* u, int* us, int k,
 *                                   int p) nogil:
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, float *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  float __pyx_v_rjj;
  float __pyx_v_tau;
  float *__pyx_v_work;
  char *__pyx_v_T;
  char *__pyx_v_N;
  size_t __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":559
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":560
 *     cdef blas_t* work
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":561
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 */
  __pyx_v_worksize = (__pyx_v_m * (sizeof(float)));

  /* "scipy/linalg/_decomp_update.pyx":563
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((float *)malloc(__pyx_v_worksize));

  /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":565
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # possible FIX
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":570
 *     # as this is written it requires F order q, r, and u.  But thats not
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 */
  __pyx_t_2 = __pyx_v_n;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":571
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 * 
 */
    __pyx_v_rjj = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":572
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)             # <<<<<<<<<<<<<<
 * 
 *         # here we apply the reflector by hand instead of calling larf
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larfg((__pyx_v_p + 1), (&__pyx_v_rjj), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":579
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":580
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":581
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), 1.0, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), 1.0, __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":583
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":584
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,             # <<<<<<<<<<<<<<
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), (- (__pyx_v_tau)), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_v_work, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p);

      /* "scipy/linalg/_decomp_update.pyx":586
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(((__pyx_v_n - __pyx_v_j) - 1), (- (__pyx_v_tau)), __pyx_v_work, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]));

      /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":587
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *         # now apply this reflector to q
 */
    (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;

    /* "scipy/linalg/_decomp_update.pyx":590
 * 
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":591
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_p, 1.0, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), 1.0, __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":593
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

    /* "scipy/linalg/_decomp_update.pyx":594
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_m, __pyx_v_p, (-__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":596
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_m, (-__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":600
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(n):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_n;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":601
 *     if k != m-p:
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":602
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":603
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":605
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":552
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                                   int* rs, blas_t* u, int* us, int k,
 *                                   int p) nogil:
 */

  /* function exit code */
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, double *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  double __pyx_v_rjj;
  double __pyx_v_tau;
  double *__pyx_v_work;
  char *__pyx_v_T;
  char *__pyx_v_N;
  size_t __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":559
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":560
 *     cdef blas_t* work
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":561
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 */
  __pyx_v_worksize = (__pyx_v_m * (sizeof(double)));

  /* "scipy/linalg/_decomp_update.pyx":563
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((double *)malloc(__pyx_v_worksize));

  /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":565
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # possible FIX
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":570
 *     # as this is written it requires F order q, r, and u.  But thats not
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 */
  __pyx_t_2 = __pyx_v_n;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":571
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 * 
 */
    __pyx_v_rjj = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":572
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)             # <<<<<<<<<<<<<<
 * 
 *         # here we apply the reflector by hand instead of calling larf
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larfg((__pyx_v_p + 1), (&__pyx_v_rjj), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":579
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":580
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":581
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), 1.0, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), 1.0, __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":583
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":584
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,             # <<<<<<<<<<<<<<
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), (- (__pyx_v_tau)), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_v_work, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p);

      /* "scipy/linalg/_decomp_update.pyx":586
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(((__pyx_v_n - __pyx_v_j) - 1), (- (__pyx_v_tau)), __pyx_v_work, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]));

      /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":587
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *         # now apply this reflector to q
 */
    (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;

    /* "scipy/linalg/_decomp_update.pyx":590
 * 
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":591
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_p, 1.0, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), 1.0, __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":593
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

    /* "scipy/linalg/_decomp_update.pyx":594
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_m, __pyx_v_p, (-__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":596
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_m, (-__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":600
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(n):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_n;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":601
 *     if k != m-p:
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":602
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":603
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":605
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":552
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                                   int* rs, blas_t* u, int* us, int k,
 *                                   int p) nogil:
 */

  /* function exit code */
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_rjj;
  __pyx_t_float_complex __pyx_v_tau;
  __pyx_t_float_complex *__pyx_v_work;
  char *__pyx_v_T;
  char *__pyx_v_N;
  size_t __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":559
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":560
 *     cdef blas_t* work
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":561
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 */
  __pyx_v_worksize = (__pyx_v_m * (sizeof(__pyx_t_float_complex)));

  /* "scipy/linalg/_decomp_update.pyx":563
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((__pyx_t_float_complex *)malloc(__pyx_v_worksize));

  /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":565
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # possible FIX
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":570
 *     # as this is written it requires F order q, r, and u.  But thats not
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 */
  __pyx_t_2 = __pyx_v_n;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":571
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 * 
 */
    __pyx_v_rjj = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":572
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)             # <<<<<<<<<<<<<<
 * 
 *         # here we apply the reflector by hand instead of calling larf
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larfg((__pyx_v_p + 1), (&__pyx_v_rjj), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":579
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":580
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":581
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_t_float_complex_from_parts(1, 0), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_t_float_complex_from_parts(1, 0), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":583
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":584
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,             # <<<<<<<<<<<<<<
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), __Pyx_c_negf(__Pyx_c_conjf(__pyx_v_tau)), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_v_work, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p);

      /* "scipy/linalg/_decomp_update.pyx":586
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(((__pyx_v_n - __pyx_v_j) - 1), __Pyx_c_negf(__Pyx_c_conjf(__pyx_v_tau)), __pyx_v_work, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]));

      /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":587
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *         # now apply this reflector to q
 */
    (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;

    /* "scipy/linalg/_decomp_update.pyx":590
 * 
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":591
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_p, __pyx_t_float_complex_from_parts(1, 0), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_t_float_complex_from_parts(1, 0), __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":593
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

    /* "scipy/linalg/_decomp_update.pyx":594
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_m, __pyx_v_p, __Pyx_c_negf(__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":596
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_m, __Pyx_c_negf(__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":600
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(n):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_n;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":601
 *     if k != m-p:
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":602
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":603
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":605
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":552
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                                   int* rs, blas_t* u, int* us, int k,
 *                                   int p) nogil:
 */

  /* function exit code */
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_rjj;
  __pyx_t_double_complex __pyx_v_tau;
  __pyx_t_double_complex *__pyx_v_work;
  char *__pyx_v_T;
  char *__pyx_v_N;
  size_t __pyx_v_worksize;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":559
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":560
 *     cdef blas_t* work
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":561
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef size_t worksize = m * sizeof(blas_t)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 */
  __pyx_v_worksize = (__pyx_v_m * (sizeof(__pyx_t_double_complex)));

  /* "scipy/linalg/_decomp_update.pyx":563
 *     cdef size_t worksize = m * sizeof(blas_t)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_v_work = ((__pyx_t_double_complex *)malloc(__pyx_v_worksize));

  /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":565
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # possible FIX
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":564
 * 
 *     work = <blas_t*>libc.stdlib.malloc(worksize)
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":570
 *     # as this is written it requires F order q, r, and u.  But thats not
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 */
  __pyx_t_2 = __pyx_v_n;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":571
 *     # strictly necessary. C order should also work too with a little fiddling.
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)
 * 
 */
    __pyx_v_rjj = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":572
 *     for j in range(n):
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(p+1, &rjj, col(u, us, j), us[0], &tau)             # <<<<<<<<<<<<<<
 * 
 *         # here we apply the reflector by hand instead of calling larf
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larfg((__pyx_v_p + 1), (&__pyx_v_rjj), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":579
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":580
 *         if j+1 < n:
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":581
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_t_double_complex_from_parts(1, 0), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_t_double_complex_from_parts(1, 0), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":583
 *             gemv(T, p, n-j-1, 1, index2(u, us, 0, j+1), p, col(u, us, j), us[0],
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

      /* "scipy/linalg/_decomp_update.pyx":584
 *                 1, work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,             # <<<<<<<<<<<<<<
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_p, ((__pyx_v_n - __pyx_v_j) - 1), __Pyx_c_neg(__Pyx_c_conj(__pyx_v_tau)), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_v_work, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, 0, (__pyx_v_j + 1)), __pyx_v_p);

      /* "scipy/linalg/_decomp_update.pyx":586
 *             ger(p, n-j-1, -tau.conjugate(), col(u, us, j), us[0], work, 1,
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(((__pyx_v_n - __pyx_v_j) - 1), __Pyx_c_neg(__Pyx_c_conj(__pyx_v_tau)), __pyx_v_work, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]));

      /* "scipy/linalg/_decomp_update.pyx":578
 *         # are separate.  This also permits the reflector to always be
 *         # p+1 long, rather than having a max of n+p.
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             copy(n-j-1, index2(r, rs, j, j+1), rs[1], work, 1)
 *             blas_t_conj(p, col(u, us, j), &us[0])
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":587
 *                 index2(u, us, 0, j+1), p)
 *             axpy(n-j-1, -tau.conjugate(), work, 1, index2(r, rs, j, j+1), rs[1])
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *         # now apply this reflector to q
 */
    (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;

    /* "scipy/linalg/_decomp_update.pyx":590
 * 
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":591
 *         # now apply this reflector to q
 *         copy(m, col(q, qs, j), qs[0], work, 1)
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_p, __pyx_t_double_complex_from_parts(1, 0), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_t_double_complex_from_parts(1, 0), __pyx_v_work, 1);

    /* "scipy/linalg/_decomp_update.pyx":593
 *         gemv(N, m, p, 1, index2(q, qs, 0, n), m, col(u, us, j), us[0],
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])             # <<<<<<<<<<<<<<
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (&(__pyx_v_us[0])));

    /* "scipy/linalg/_decomp_update.pyx":594
 *              1, work, 1)
 *         blas_t_conj(p, col(u, us, j), &us[0])
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],             # <<<<<<<<<<<<<<
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ger(__pyx_v_m, __pyx_v_p, __Pyx_c_neg(__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":596
 *         ger(m, p, -tau, work, 1, col(u, us, j), us[0],
 *             index2(q, qs, 0, n), m)
 *         axpy(m, -tau, work, 1, col(q, qs, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_m, __Pyx_c_neg(__pyx_v_tau), __pyx_v_work, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]));
  }

  /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_1 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":600
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(n):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_n;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":601
 *     if k != m-p:
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":602
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":603
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":599
 * 
 *     # permute the rows of q, work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(n):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":605
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":552
 *         swap(m, row(q, qs, j), qs[1], row(q, qs, j-1), qs[1])
 * 
 * cdef int thin_qr_block_row_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                                   int* rs, blas_t* u, int* us, int k,
 *                                   int p) nogil:
 */

  /* function exit code */
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":607
 *     libc.stdlib.free(work)
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                              blas_t* r, int* rs, int k, int p) nogil:
 *     # this should someday call lapack's xtpqrt (requires lapack >= 3.4
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_hlen;
  float __pyx_v_rjj;
  float __pyx_v_tau;
  float *__pyx_v_work;
  char *__pyx_v_sideL;
  char *__pyx_v_sideR;
  int __pyx_v_limit;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":626
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":627
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":629
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_m;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":631
 *     cdef int limit = min(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_work = ((float *)malloc((__pyx_t_2 * (sizeof(float)))));

  /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":633
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":635
 *         return MEMORY_ERROR
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 */
  __pyx_t_2 = __pyx_v_limit;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":636
 * 
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_v_rjj = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":637
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j             # <<<<<<<<<<<<<<
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_hlen = (__pyx_v_m - __pyx_v_j);

    /* "scipy/linalg/_decomp_update.pyx":638
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_hlen, (&__pyx_v_rjj), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":639
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 */
    (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = 1.0;

    /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_4 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_4) {

      /* "scipy/linalg/_decomp_update.pyx":641
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_hlen, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]),  (__pyx_v_tau), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":643
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideR, __pyx_v_m, __pyx_v_hlen, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __pyx_v_tau, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":645
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
    memset(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), 0, (__pyx_v_hlen * (sizeof(float))));

    /* "scipy/linalg/_decomp_update.pyx":646
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 */
    (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;
  }

  /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_4 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":650
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(m):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_m;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":651
 *     if k != m-p:
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":652
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":653
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":655
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":656
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":607
 *     libc.stdlib.free(work)
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                              blas_t* r, int* rs, int k, int p) nogil:
 *     # this should someday call lapack's xtpqrt (requires lapack >= 3.4
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_hlen;
  double __pyx_v_rjj;
  double __pyx_v_tau;
  double *__pyx_v_work;
  char *__pyx_v_sideL;
  char *__pyx_v_sideR;
  int __pyx_v_limit;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":626
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":627
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":629
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_m;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":631
 *     cdef int limit = min(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_work = ((double *)malloc((__pyx_t_2 * (sizeof(double)))));

  /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":633
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":635
 *         return MEMORY_ERROR
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 */
  __pyx_t_2 = __pyx_v_limit;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":636
 * 
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_v_rjj = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":637
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j             # <<<<<<<<<<<<<<
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_hlen = (__pyx_v_m - __pyx_v_j);

    /* "scipy/linalg/_decomp_update.pyx":638
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_hlen, (&__pyx_v_rjj), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":639
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 */
    (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = 1.0;

    /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_4 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_4) {

      /* "scipy/linalg/_decomp_update.pyx":641
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_hlen, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]),  (__pyx_v_tau), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":643
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideR, __pyx_v_m, __pyx_v_hlen, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __pyx_v_tau, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":645
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
    memset(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), 0, (__pyx_v_hlen * (sizeof(double))));

    /* "scipy/linalg/_decomp_update.pyx":646
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 */
    (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;
  }

  /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_4 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":650
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(m):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_m;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":651
 *     if k != m-p:
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":652
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":653
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":655
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":656
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":607
 *     libc.stdlib.free(work)
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                              blas_t* r, int* rs, int k, int p) nogil:
 *     # this should someday call lapack's xtpqrt (requires lapack >= 3.4
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_hlen;
  __pyx_t_float_complex __pyx_v_rjj;
  __pyx_t_float_complex __pyx_v_tau;
  __pyx_t_float_complex *__pyx_v_work;
  char *__pyx_v_sideL;
  char *__pyx_v_sideR;
  int __pyx_v_limit;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":626
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":627
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":629
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_m;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":631
 *     cdef int limit = min(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_work = ((__pyx_t_float_complex *)malloc((__pyx_t_2 * (sizeof(__pyx_t_float_complex)))));

  /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":633
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":635
 *         return MEMORY_ERROR
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 */
  __pyx_t_2 = __pyx_v_limit;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":636
 * 
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_v_rjj = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":637
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j             # <<<<<<<<<<<<<<
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_hlen = (__pyx_v_m - __pyx_v_j);

    /* "scipy/linalg/_decomp_update.pyx":638
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_hlen, (&__pyx_v_rjj), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":639
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 */
    (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_t_float_complex_from_parts(1, 0);

    /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_4 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_4) {

      /* "scipy/linalg/_decomp_update.pyx":641
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_hlen, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __Pyx_c_conjf(__pyx_v_tau), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":643
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideR, __pyx_v_m, __pyx_v_hlen, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __pyx_v_tau, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":645
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
    memset(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), 0, (__pyx_v_hlen * (sizeof(__pyx_t_float_complex))));

    /* "scipy/linalg/_decomp_update.pyx":646
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 */
    (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;
  }

  /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_4 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":650
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(m):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_m;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":651
 *     if k != m-p:
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":652
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":653
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":655
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":656
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":607
 *     libc.stdlib.free(work)
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                              blas_t* r, int* rs, int k, int p) nogil:
 *     # this should someday call lapack's xtpqrt (requires lapack >= 3.4
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_row_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_j;
  int __pyx_v_hlen;
  __pyx_t_double_complex __pyx_v_rjj;
  __pyx_t_double_complex __pyx_v_tau;
  __pyx_t_double_complex *__pyx_v_work;
  char *__pyx_v_sideL;
  char *__pyx_v_sideR;
  int __pyx_v_limit;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "scipy/linalg/_decomp_update.pyx":626
 *     cdef blas_t rjj, tau
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":627
 *     cdef blas_t* work
 *     cdef char* sideL = 'L'
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":629
 *     cdef char* sideR = 'R'
 *     # for tall or sqr + rows should be n. for fat + rows should be new m
 *     cdef int limit = min(m, n)             # <<<<<<<<<<<<<<
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_v_m;
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":631
 *     cdef int limit = min(m, n)
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *     if not work:
 *         return MEMORY_ERROR
 */
  __pyx_t_3 = __pyx_v_n;
  __pyx_t_1 = __pyx_v_m;
  if (((__pyx_t_3 > __pyx_t_1) != 0)) {
    __pyx_t_2 = __pyx_t_3;
  } else {
    __pyx_t_2 = __pyx_t_1;
  }
  __pyx_v_work = ((__pyx_t_double_complex *)malloc((__pyx_t_2 * (sizeof(__pyx_t_double_complex)))));

  /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  __pyx_t_4 = ((!(__pyx_v_work != 0)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":633
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:
 *         return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     for j in range(limit):
 */
    __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":632
 * 
 *     work = <blas_t*>libc.stdlib.malloc(max(m,n)*sizeof(blas_t))
 *     if not work:             # <<<<<<<<<<<<<<
 *         return MEMORY_ERROR
 * 
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":635
 *         return MEMORY_ERROR
 * 
 *     for j in range(limit):             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 */
  __pyx_t_2 = __pyx_v_limit;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_j = __pyx_t_3;

    /* "scipy/linalg/_decomp_update.pyx":636
 * 
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_v_rjj = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":637
 *     for j in range(limit):
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j             # <<<<<<<<<<<<<<
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_hlen = (__pyx_v_m - __pyx_v_j);

    /* "scipy/linalg/_decomp_update.pyx":638
 *         rjj = index2(r, rs, j, j)[0]
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_hlen, (&__pyx_v_rjj), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":639
 *         hlen = m-j
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 */
    (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_t_double_complex_from_parts(1, 0);

    /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_4 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_4) {

      /* "scipy/linalg/_decomp_update.pyx":641
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_hlen, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __Pyx_c_conj(__pyx_v_tau), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":640
 *         larfg(hlen, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":643
 *             larf(sideL, hlen, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideR, __pyx_v_m, __pyx_v_hlen, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __pyx_v_tau, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":645
 *         larf(sideR, m, hlen, index2(r, rs, j, j), rs[0], tau,
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = rjj
 * 
 */
    memset(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), 0, (__pyx_v_hlen * (sizeof(__pyx_t_double_complex))));

    /* "scipy/linalg/_decomp_update.pyx":646
 *                 index2(q, qs, 0, j), qs[1], work)
 *         memset(index2(r, rs, j, j), 0, hlen*sizeof(blas_t))
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 */
    (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;
  }

  /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  __pyx_t_4 = ((__pyx_v_k != (__pyx_v_m - __pyx_v_p)) != 0);
  if (__pyx_t_4) {

    /* "scipy/linalg/_decomp_update.pyx":650
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:
 *         for j in range(m):             # <<<<<<<<<<<<<<
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 */
    __pyx_t_2 = __pyx_v_m;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "scipy/linalg/_decomp_update.pyx":651
 *     if k != m-p:
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)             # <<<<<<<<<<<<<<
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy((__pyx_v_m - __pyx_v_k), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]), __pyx_v_work, 1);

      /* "scipy/linalg/_decomp_update.pyx":652
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])             # <<<<<<<<<<<<<<
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_p, (__pyx_v_work + ((__pyx_v_m - __pyx_v_k) - __pyx_v_p)), 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, __pyx_v_k, __pyx_v_j), (__pyx_v_qs[0]));

      /* "scipy/linalg/_decomp_update.pyx":653
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 *             copy(p, work+(m-k-p), 1, index2(q, qs, k, j), qs[0])
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_m - __pyx_v_k) - __pyx_v_p), __pyx_v_work, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, (__pyx_v_k + __pyx_v_p), __pyx_v_j), (__pyx_v_qs[0]));
    }

    /* "scipy/linalg/_decomp_update.pyx":649
 * 
 *     # permute the rows., work columnwise, since q is fortran order
 *     if k != m-p:             # <<<<<<<<<<<<<<
 *         for j in range(m):
 *             copy(m-k, index2(q, qs, k, j), qs[0], work, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":655
 *             copy(m-k-p, work, 1, index2(q, qs, k+p, j), qs[0])
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":656
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":607
 *     libc.stdlib.free(work)
 * 
 * cdef int qr_block_row_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                              blas_t* r, int* rs, int k, int p) nogil:
 *     # this should someday call lapack's xtpqrt (requires lapack >= 3.4
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":658
 *     return 0
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k, int p_eco,
 *                              int p_full, blas_t* rcond) nogil:
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, float *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full, float *__pyx_v_rcond) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_info;
  float __pyx_v_c;
  float __pyx_v_sn;
  CYTHON_UNUSED float __pyx_v_rc0;
  float __pyx_v_rc;
  float *__pyx_v_s;
  char *__pyx_v_N;
  char *__pyx_v_T;
  CYTHON_UNUSED char *__pyx_v_C;
  char *__pyx_v_TC;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":666
 *     cdef blas_t rc0, rc;
 *     cdef blas_t* s
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":667
 *     cdef blas_t* s
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef char* TC
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":668
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef char* TC
 * 
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":672
 * 
 *     if blas_t is float or blas_t is double:
 *         TC = T             # <<<<<<<<<<<<<<
 *         rc0 = rcond[0]
 *     elif blas_t is float_complex:
 */
  __pyx_v_TC = __pyx_v_T;

  /* "scipy/linalg/_decomp_update.pyx":673
 *     if blas_t is float or blas_t is double:
 *         TC = T
 *         rc0 = rcond[0]             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         TC = C
 */
  __pyx_v_rc0 = (__pyx_v_rcond[0]);

  /* "scipy/linalg/_decomp_update.pyx":687
 *     # original system, not the new system.
 * 
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p_eco):
 */
  __pyx_v_s = ((float *)malloc(((2 * (__pyx_v_n + __pyx_v_p_eco)) * (sizeof(float)))));

  /* "scipy/linalg/_decomp_update.pyx":689
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))
 * 
 *     for j in range(p_eco):             # <<<<<<<<<<<<<<
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 */
  __pyx_t_1 = __pyx_v_p_eco;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":690
 * 
 *     for j in range(p_eco):
 *         rc = rcond[0]             # <<<<<<<<<<<<<<
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:
 */
    __pyx_v_rc = (__pyx_v_rcond[0]);

    /* "scipy/linalg/_decomp_update.pyx":691
 *     for j in range(p_eco):
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)             # <<<<<<<<<<<<<<
 *         if info == 2:
 *             if blas_t is float or blas_t is double:
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, (__pyx_v_n + __pyx_v_j), __pyx_v_q, __pyx_v_qs, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_v_s, (&__pyx_v_rc));

    /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    __pyx_t_3 = ((__pyx_v_info == 2) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":694
 *         if info == 2:
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;             # <<<<<<<<<<<<<<
 *             elif blas_t is float_complex:
 *                 rcond[0] = (<float*>&rc)[0]
 */
      (__pyx_v_rcond[0]) = __pyx_v_rc;

      /* "scipy/linalg/_decomp_update.pyx":699
 *             else:
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 */
      free(__pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":700
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)
 *             return info             # <<<<<<<<<<<<<<
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":701
 *             libc.stdlib.free(s)
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])             # <<<<<<<<<<<<<<
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n + __pyx_v_j)), (__pyx_v_qs[0]));

    /* "scipy/linalg/_decomp_update.pyx":702
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *         for i in range(n-2+1, k-1, -1):
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n + __pyx_v_j) + 1), __pyx_v_s, 1, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_j)), (__pyx_v_rs[0]));

    /* "scipy/linalg/_decomp_update.pyx":704
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 *         for i in range(n-2+1, k-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 */
    __pyx_t_4 = (__pyx_v_k - 1);
    for (__pyx_t_5 = ((__pyx_v_n - 2) + 1); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_i = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":705
 * 
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), (__pyx_v_k + __pyx_v_j)), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":706
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_i), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":708
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_i + __pyx_v_j)), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, ((__pyx_v_i + __pyx_v_j) + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":710
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 * 
 *     if p_full > 0:
 */
  free(__pyx_v_s);

  /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  __pyx_t_3 = ((__pyx_v_p_full > 0) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":714
 *     if p_full > 0:
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,             # <<<<<<<<<<<<<<
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_TC, __pyx_v_N, __pyx_v_m, __pyx_v_p_full, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_p_eco), __pyx_v_m, 0.0, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco)), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":716
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(__pyx_v_m, ((__pyx_v_n + __pyx_v_p_eco) + __pyx_v_p_full), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco), __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":718
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":658
 *     return 0
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k, int p_eco,
 *                              int p_full, blas_t* rcond) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, double *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full, double *__pyx_v_rcond) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_info;
  double __pyx_v_c;
  double __pyx_v_sn;
  CYTHON_UNUSED double __pyx_v_rc0;
  double __pyx_v_rc;
  double *__pyx_v_s;
  char *__pyx_v_N;
  char *__pyx_v_T;
  CYTHON_UNUSED char *__pyx_v_C;
  char *__pyx_v_TC;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":666
 *     cdef blas_t rc0, rc;
 *     cdef blas_t* s
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":667
 *     cdef blas_t* s
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef char* TC
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":668
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef char* TC
 * 
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":672
 * 
 *     if blas_t is float or blas_t is double:
 *         TC = T             # <<<<<<<<<<<<<<
 *         rc0 = rcond[0]
 *     elif blas_t is float_complex:
 */
  __pyx_v_TC = __pyx_v_T;

  /* "scipy/linalg/_decomp_update.pyx":673
 *     if blas_t is float or blas_t is double:
 *         TC = T
 *         rc0 = rcond[0]             # <<<<<<<<<<<<<<
 *     elif blas_t is float_complex:
 *         TC = C
 */
  __pyx_v_rc0 = (__pyx_v_rcond[0]);

  /* "scipy/linalg/_decomp_update.pyx":687
 *     # original system, not the new system.
 * 
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p_eco):
 */
  __pyx_v_s = ((double *)malloc(((2 * (__pyx_v_n + __pyx_v_p_eco)) * (sizeof(double)))));

  /* "scipy/linalg/_decomp_update.pyx":689
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))
 * 
 *     for j in range(p_eco):             # <<<<<<<<<<<<<<
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 */
  __pyx_t_1 = __pyx_v_p_eco;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":690
 * 
 *     for j in range(p_eco):
 *         rc = rcond[0]             # <<<<<<<<<<<<<<
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:
 */
    __pyx_v_rc = (__pyx_v_rcond[0]);

    /* "scipy/linalg/_decomp_update.pyx":691
 *     for j in range(p_eco):
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)             # <<<<<<<<<<<<<<
 *         if info == 2:
 *             if blas_t is float or blas_t is double:
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, (__pyx_v_n + __pyx_v_j), __pyx_v_q, __pyx_v_qs, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_v_s, (&__pyx_v_rc));

    /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    __pyx_t_3 = ((__pyx_v_info == 2) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":694
 *         if info == 2:
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;             # <<<<<<<<<<<<<<
 *             elif blas_t is float_complex:
 *                 rcond[0] = (<float*>&rc)[0]
 */
      (__pyx_v_rcond[0]) = __pyx_v_rc;

      /* "scipy/linalg/_decomp_update.pyx":699
 *             else:
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 */
      free(__pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":700
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)
 *             return info             # <<<<<<<<<<<<<<
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":701
 *             libc.stdlib.free(s)
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])             # <<<<<<<<<<<<<<
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n + __pyx_v_j)), (__pyx_v_qs[0]));

    /* "scipy/linalg/_decomp_update.pyx":702
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *         for i in range(n-2+1, k-1, -1):
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n + __pyx_v_j) + 1), __pyx_v_s, 1, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_j)), (__pyx_v_rs[0]));

    /* "scipy/linalg/_decomp_update.pyx":704
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 *         for i in range(n-2+1, k-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 */
    __pyx_t_4 = (__pyx_v_k - 1);
    for (__pyx_t_5 = ((__pyx_v_n - 2) + 1); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_i = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":705
 * 
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), (__pyx_v_k + __pyx_v_j)), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":706
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_i), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":708
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_i + __pyx_v_j)), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, ((__pyx_v_i + __pyx_v_j) + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":710
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 * 
 *     if p_full > 0:
 */
  free(__pyx_v_s);

  /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  __pyx_t_3 = ((__pyx_v_p_full > 0) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":714
 *     if p_full > 0:
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,             # <<<<<<<<<<<<<<
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_TC, __pyx_v_N, __pyx_v_m, __pyx_v_p_full, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_p_eco), __pyx_v_m, 0.0, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco)), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":716
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(__pyx_v_m, ((__pyx_v_n + __pyx_v_p_eco) + __pyx_v_p_full), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco), __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":718
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":658
 *     return 0
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k, int p_eco,
 *                              int p_full, blas_t* rcond) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full, __pyx_t_float_complex *__pyx_v_rcond) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_info;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_sn;
  CYTHON_UNUSED __pyx_t_float_complex __pyx_v_rc0;
  __pyx_t_float_complex __pyx_v_rc;
  __pyx_t_float_complex *__pyx_v_s;
  char *__pyx_v_N;
  CYTHON_UNUSED char *__pyx_v_T;
  char *__pyx_v_C;
  char *__pyx_v_TC;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":666
 *     cdef blas_t rc0, rc;
 *     cdef blas_t* s
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":667
 *     cdef blas_t* s
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef char* TC
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":668
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef char* TC
 * 
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":675
 *         rc0 = rcond[0]
 *     elif blas_t is float_complex:
 *         TC = C             # <<<<<<<<<<<<<<
 *         rc0 = (<float*>rcond)[0]
 *     else:
 */
  __pyx_v_TC = __pyx_v_C;

  /* "scipy/linalg/_decomp_update.pyx":676
 *     elif blas_t is float_complex:
 *         TC = C
 *         rc0 = (<float*>rcond)[0]             # <<<<<<<<<<<<<<
 *     else:
 *         TC = C
 */
  __pyx_v_rc0 = __pyx_t_float_complex_from_parts((((float *)__pyx_v_rcond)[0]), 0);

  /* "scipy/linalg/_decomp_update.pyx":687
 *     # original system, not the new system.
 * 
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p_eco):
 */
  __pyx_v_s = ((__pyx_t_float_complex *)malloc(((2 * (__pyx_v_n + __pyx_v_p_eco)) * (sizeof(__pyx_t_float_complex)))));

  /* "scipy/linalg/_decomp_update.pyx":689
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))
 * 
 *     for j in range(p_eco):             # <<<<<<<<<<<<<<
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 */
  __pyx_t_1 = __pyx_v_p_eco;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":690
 * 
 *     for j in range(p_eco):
 *         rc = rcond[0]             # <<<<<<<<<<<<<<
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:
 */
    __pyx_v_rc = (__pyx_v_rcond[0]);

    /* "scipy/linalg/_decomp_update.pyx":691
 *     for j in range(p_eco):
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)             # <<<<<<<<<<<<<<
 *         if info == 2:
 *             if blas_t is float or blas_t is double:
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, (__pyx_v_n + __pyx_v_j), __pyx_v_q, __pyx_v_qs, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_v_s, (&__pyx_v_rc));

    /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    __pyx_t_3 = ((__pyx_v_info == 2) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":696
 *                 rcond[0] = rc;
 *             elif blas_t is float_complex:
 *                 rcond[0] = (<float*>&rc)[0]             # <<<<<<<<<<<<<<
 *             else:
 *                 rcond[0] = (<double*>&rc)[0]
 */
      (__pyx_v_rcond[0]) = __pyx_t_float_complex_from_parts((((float *)(&__pyx_v_rc))[0]), 0);

      /* "scipy/linalg/_decomp_update.pyx":699
 *             else:
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 */
      free(__pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":700
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)
 *             return info             # <<<<<<<<<<<<<<
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":701
 *             libc.stdlib.free(s)
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])             # <<<<<<<<<<<<<<
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n + __pyx_v_j)), (__pyx_v_qs[0]));

    /* "scipy/linalg/_decomp_update.pyx":702
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *         for i in range(n-2+1, k-1, -1):
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n + __pyx_v_j) + 1), __pyx_v_s, 1, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_j)), (__pyx_v_rs[0]));

    /* "scipy/linalg/_decomp_update.pyx":704
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 *         for i in range(n-2+1, k-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 */
    __pyx_t_4 = (__pyx_v_k - 1);
    for (__pyx_t_5 = ((__pyx_v_n - 2) + 1); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_i = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":705
 * 
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), (__pyx_v_k + __pyx_v_j)), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":706
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_i), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":708
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_i + __pyx_v_j)), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, ((__pyx_v_i + __pyx_v_j) + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_sn));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":710
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 * 
 *     if p_full > 0:
 */
  free(__pyx_v_s);

  /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  __pyx_t_3 = ((__pyx_v_p_full > 0) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":714
 *     if p_full > 0:
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,             # <<<<<<<<<<<<<<
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_TC, __pyx_v_N, __pyx_v_m, __pyx_v_p_full, __pyx_v_m, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_p_eco), __pyx_v_m, __pyx_t_float_complex_from_parts(0, 0), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco)), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":716
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(__pyx_v_m, ((__pyx_v_n + __pyx_v_p_eco) + __pyx_v_p_full), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco), __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":718
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":658
 *     return 0
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k, int p_eco,
 *                              int p_full, blas_t* rcond) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_col_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, int __pyx_v_k, int __pyx_v_p_eco, int __pyx_v_p_full, __pyx_t_double_complex *__pyx_v_rcond) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_info;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_sn;
  CYTHON_UNUSED __pyx_t_double_complex __pyx_v_rc0;
  __pyx_t_double_complex __pyx_v_rc;
  __pyx_t_double_complex *__pyx_v_s;
  char *__pyx_v_N;
  CYTHON_UNUSED char *__pyx_v_T;
  char *__pyx_v_C;
  char *__pyx_v_TC;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":666
 *     cdef blas_t rc0, rc;
 *     cdef blas_t* s
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":667
 *     cdef blas_t* s
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef char* TC
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":668
 *     cdef char* N = 'N'
 *     cdef char* T = 'T'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef char* TC
 * 
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":678
 *         rc0 = (<float*>rcond)[0]
 *     else:
 *         TC = C             # <<<<<<<<<<<<<<
 *         rc0 = (<double*>rcond)[0]
 * 
 */
  __pyx_v_TC = __pyx_v_C;

  /* "scipy/linalg/_decomp_update.pyx":679
 *     else:
 *         TC = C
 *         rc0 = (<double*>rcond)[0]             # <<<<<<<<<<<<<<
 * 
 *     # on entry, Q and R have both been increased in size, Q via the appending
 */
  __pyx_v_rc0 = __pyx_t_double_complex_from_parts((((double *)__pyx_v_rcond)[0]), 0);

  /* "scipy/linalg/_decomp_update.pyx":687
 *     # original system, not the new system.
 * 
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *     for j in range(p_eco):
 */
  __pyx_v_s = ((__pyx_t_double_complex *)malloc(((2 * (__pyx_v_n + __pyx_v_p_eco)) * (sizeof(__pyx_t_double_complex)))));

  /* "scipy/linalg/_decomp_update.pyx":689
 *     s = <blas_t*>libc.stdlib.malloc(2*(n+p_eco)*sizeof(blas_t))
 * 
 *     for j in range(p_eco):             # <<<<<<<<<<<<<<
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 */
  __pyx_t_1 = __pyx_v_p_eco;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":690
 * 
 *     for j in range(p_eco):
 *         rc = rcond[0]             # <<<<<<<<<<<<<<
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:
 */
    __pyx_v_rc = (__pyx_v_rcond[0]);

    /* "scipy/linalg/_decomp_update.pyx":691
 *     for j in range(p_eco):
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)             # <<<<<<<<<<<<<<
 *         if info == 2:
 *             if blas_t is float or blas_t is double:
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, (__pyx_v_n + __pyx_v_j), __pyx_v_q, __pyx_v_qs, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_v_s, (&__pyx_v_rc));

    /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    __pyx_t_3 = ((__pyx_v_info == 2) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":698
 *                 rcond[0] = (<float*>&rc)[0]
 *             else:
 *                 rcond[0] = (<double*>&rc)[0]             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(s)
 *             return info
 */
      (__pyx_v_rcond[0]) = __pyx_t_double_complex_from_parts((((double *)(&__pyx_v_rc))[0]), 0);

      /* "scipy/linalg/_decomp_update.pyx":699
 *             else:
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 */
      free(__pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":700
 *                 rcond[0] = (<double*>&rc)[0]
 *             libc.stdlib.free(s)
 *             return info             # <<<<<<<<<<<<<<
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":692
 *         rc = rcond[0]
 *         info = reorth(m, n+j, q, qs, True, col(u, us, j), us, s,  &rc)
 *         if info == 2:             # <<<<<<<<<<<<<<
 *             if blas_t is float or blas_t is double:
 *                 rcond[0] = rc;
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":701
 *             libc.stdlib.free(s)
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])             # <<<<<<<<<<<<<<
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), (__pyx_v_us[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n + __pyx_v_j)), (__pyx_v_qs[0]));

    /* "scipy/linalg/_decomp_update.pyx":702
 *             return info
 *         copy(m, col(u, us, j), us[0], col(q, qs, n+j), qs[0])
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])             # <<<<<<<<<<<<<<
 * 
 *         for i in range(n-2+1, k-1, -1):
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_copy(((__pyx_v_n + __pyx_v_j) + 1), __pyx_v_s, 1, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_j)), (__pyx_v_rs[0]));

    /* "scipy/linalg/_decomp_update.pyx":704
 *         copy(n+j+1, s, 1, col(r, rs, k+j), rs[0])
 * 
 *         for i in range(n-2+1, k-1, -1):             # <<<<<<<<<<<<<<
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 */
    __pyx_t_4 = (__pyx_v_k - 1);
    for (__pyx_t_5 = ((__pyx_v_n - 2) + 1); __pyx_t_5 > __pyx_t_4; __pyx_t_5-=1) {
      __pyx_v_i = __pyx_t_5;

      /* "scipy/linalg/_decomp_update.pyx":705
 * 
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)             # <<<<<<<<<<<<<<
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), (__pyx_v_k + __pyx_v_j)), (&__pyx_v_c), (&__pyx_v_sn));

      /* "scipy/linalg/_decomp_update.pyx":706
 *         for i in range(n-2+1, k-1, -1):
 *             lartg(index2(r, rs, i+j, k+j), index2(r, rs, i+j+1, k+j), &c, &sn)
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_i), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_i + __pyx_v_j), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, ((__pyx_v_i + __pyx_v_j) + 1), ((__pyx_v_i + __pyx_v_p_eco) + __pyx_v_p_full)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

      /* "scipy/linalg/_decomp_update.pyx":708
 *             rot(n-i, index2(r, rs, i+j, i+p_eco+p_full), rs[1],
 *                 index2(r, rs, i+j+1, i+p_eco+p_full), rs[1], c, sn)
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],             # <<<<<<<<<<<<<<
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_i + __pyx_v_j)), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, ((__pyx_v_i + __pyx_v_j) + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_sn));
    }
  }

  /* "scipy/linalg/_decomp_update.pyx":710
 *             rot(m, col(q, qs, i+j), qs[0], col(q, qs, i+j+1), qs[0],
 *                 c, sn.conjugate())
 *     libc.stdlib.free(s)             # <<<<<<<<<<<<<<
 * 
 *     if p_full > 0:
 */
  free(__pyx_v_s);

  /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  __pyx_t_3 = ((__pyx_v_p_full > 0) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":714
 *     if p_full > 0:
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,             # <<<<<<<<<<<<<<
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_TC, __pyx_v_N, __pyx_v_m, __pyx_v_p_full, __pyx_v_m, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_p_eco), __pyx_v_m, __pyx_t_double_complex_from_parts(0, 0), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco)), __pyx_v_m);

    /* "scipy/linalg/_decomp_update.pyx":716
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 *              col(r, rs, k+p_eco), m)
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(__pyx_v_m, ((__pyx_v_n + __pyx_v_p_eco) + __pyx_v_p_full), __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, (__pyx_v_k + __pyx_v_p_eco), __pyx_v_p_full);

    /* "scipy/linalg/_decomp_update.pyx":712
 *     libc.stdlib.free(s)
 * 
 *     if p_full > 0:             # <<<<<<<<<<<<<<
 *         # if this is true, we have ensured the u is also F contiguous.
 *         gemm(TC, N, m, p_full, m, 1, q, m, col(u, us, p_eco), m, 0,
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":718
 *         qr_block_col_insert(m, n+p_eco+p_full, q, qs, r, rs, k+p_eco, p_full)
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":658
 *     return 0
 * 
 * cdef int thin_qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                              int* rs, blas_t* u, int* us, int k, int p_eco,
 *                              int p_full, blas_t* rcond) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":720
 *     return 0
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  long __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":726
 *     cdef blas_t* work
 * 
 *     for j in range(m-2, k-1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)
 * 
 */
  __pyx_t_1 = (__pyx_v_k - 1);
  for (__pyx_t_2 = (__pyx_v_m - 2); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":727
 * 
 *     for j in range(m-2, k-1, -1):
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update r if j is a nonzero row
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_k), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_k), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":731
 *         # update r if j is a nonzero row
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":735
 * 
 *         # update the columns of q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":720
 *     return 0
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  long __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":726
 *     cdef blas_t* work
 * 
 *     for j in range(m-2, k-1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)
 * 
 */
  __pyx_t_1 = (__pyx_v_k - 1);
  for (__pyx_t_2 = (__pyx_v_m - 2); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":727
 * 
 *     for j in range(m-2, k-1, -1):
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update r if j is a nonzero row
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_k), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_k), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":731
 *         # update r if j is a nonzero row
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":735
 * 
 *         # update the columns of q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":720
 *     return 0
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  long __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":726
 *     cdef blas_t* work
 * 
 *     for j in range(m-2, k-1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)
 * 
 */
  __pyx_t_1 = (__pyx_v_k - 1);
  for (__pyx_t_2 = (__pyx_v_m - 2); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":727
 * 
 *     for j in range(m-2, k-1, -1):
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update r if j is a nonzero row
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_k), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_k), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":731
 *         # update r if j is a nonzero row
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":735
 * 
 *         # update the columns of q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":720
 *     return 0
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_col_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  long __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":726
 *     cdef blas_t* work
 * 
 *     for j in range(m-2, k-1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)
 * 
 */
  __pyx_t_1 = (__pyx_v_k - 1);
  for (__pyx_t_2 = (__pyx_v_m - 2); __pyx_t_2 > __pyx_t_1; __pyx_t_2-=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":727
 * 
 *     for j in range(m-2, k-1, -1):
 *         lartg(index2(r, rs, j, k), index2(r, rs, j+1, k), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update r if j is a nonzero row
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_k), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_k), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_3 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_3) {

      /* "scipy/linalg/_decomp_update.pyx":731
 *         # update r if j is a nonzero row
 *         if j+1 < n:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":730
 * 
 *         # update r if j is a nonzero row
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":735
 * 
 *         # update the columns of q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":720
 *     return 0
 * 
 * cdef void qr_col_insert(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     cdef int j
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":737
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  float *__pyx_v_tau;
  float *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_side;
  char *__pyx_v_trans;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":741
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":742
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":744
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* side = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 * 
 */
  __pyx_v_side = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":745
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m >= n:
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
  __pyx_t_1 = ((__pyx_v_m >= __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":766
 *         # query the workspace,
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":767
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":769
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":770
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":773
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":776
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":779
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = ((__pyx_v_m - __pyx_v_n) + __pyx_v_p);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((float *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(float)))));

    /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":781
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":782
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":785
 * 
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":787
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":790
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":793
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         libc.stdlib.free(work)
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":795
 *             return info
 * 
 *         libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 *         # zero the reflectors since we're done with them
 */
    free(__pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":799
 *         # zero the reflectors since we're done with them
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):             # <<<<<<<<<<<<<<
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))
 * 
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":800
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # now we have something that looks like
 */
      memset(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), 0, ((__pyx_v_m - (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j)) * (sizeof(float))));
    }

    /* "scipy/linalg/_decomp_update.pyx":818
 *         # and the rest of the columns need to be eliminated using rotations.
 * 
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":819
 * 
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (((__pyx_v_n - __pyx_v_p) + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":820
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":822
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":824
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     else:
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":828
 *     else:
 *         # this case we can only uses givens rotations.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":829
 *         # this case we can only uses givens rotations.
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":830
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":832
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":834
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     return 0
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":836
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":737
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  double *__pyx_v_tau;
  double *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_side;
  char *__pyx_v_trans;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":741
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":742
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":744
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* side = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 * 
 */
  __pyx_v_side = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":745
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m >= n:
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
  __pyx_t_1 = ((__pyx_v_m >= __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":766
 *         # query the workspace,
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":767
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":769
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":770
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":773
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":776
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":779
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = ((__pyx_v_m - __pyx_v_n) + __pyx_v_p);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((double *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(double)))));

    /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":781
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":782
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":785
 * 
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":787
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":790
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":793
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         libc.stdlib.free(work)
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":795
 *             return info
 * 
 *         libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 *         # zero the reflectors since we're done with them
 */
    free(__pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":799
 *         # zero the reflectors since we're done with them
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):             # <<<<<<<<<<<<<<
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))
 * 
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":800
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # now we have something that looks like
 */
      memset(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), 0, ((__pyx_v_m - (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j)) * (sizeof(double))));
    }

    /* "scipy/linalg/_decomp_update.pyx":818
 *         # and the rest of the columns need to be eliminated using rotations.
 * 
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":819
 * 
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (((__pyx_v_n - __pyx_v_p) + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":820
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":822
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":824
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     else:
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":828
 *     else:
 *         # this case we can only uses givens rotations.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":829
 *         # this case we can only uses givens rotations.
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":830
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":832
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":834
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     return 0
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":836
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":737
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  __pyx_t_float_complex *__pyx_v_tau;
  __pyx_t_float_complex *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_side;
  char *__pyx_v_trans;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":741
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":742
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":744
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* side = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 * 
 */
  __pyx_v_side = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":745
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m >= n:
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
  __pyx_t_1 = ((__pyx_v_m >= __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":766
 *         # query the workspace,
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":767
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":769
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":770
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":773
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":776
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":779
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = ((__pyx_v_m - __pyx_v_n) + __pyx_v_p);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((__pyx_t_float_complex *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(__pyx_t_float_complex)))));

    /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":781
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":782
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":785
 * 
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":787
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":790
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":793
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         libc.stdlib.free(work)
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":795
 *             return info
 * 
 *         libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 *         # zero the reflectors since we're done with them
 */
    free(__pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":799
 *         # zero the reflectors since we're done with them
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):             # <<<<<<<<<<<<<<
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))
 * 
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":800
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # now we have something that looks like
 */
      memset(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), 0, ((__pyx_v_m - (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j)) * (sizeof(__pyx_t_float_complex))));
    }

    /* "scipy/linalg/_decomp_update.pyx":818
 *         # and the rest of the columns need to be eliminated using rotations.
 * 
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":819
 * 
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (((__pyx_v_n - __pyx_v_p) + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":820
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":822
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":824
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     else:
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":828
 *     else:
 *         # this case we can only uses givens rotations.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":829
 *         # this case we can only uses givens rotations.
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":830
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":832
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":834
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     return 0
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
      }
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":836
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":737
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_block_col_insert(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p) {
  int __pyx_v_i;
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  __pyx_t_double_complex *__pyx_v_tau;
  __pyx_t_double_complex *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_side;
  char *__pyx_v_trans;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":741
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":742
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":744
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* side = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 * 
 */
  __pyx_v_side = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":745
 *     cdef int info, lwork
 *     cdef char* side = 'R'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m >= n:
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
  __pyx_t_1 = ((__pyx_v_m >= __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":766
 *         # query the workspace,
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":767
 *         # set tau to point at something to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":769
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":768
 *         tau = &c
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":770
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":773
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":772
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                      tau, index2(q, qs, 0, n-p), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":776
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":779
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = ((__pyx_v_m - __pyx_v_n) + __pyx_v_p);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((__pyx_t_double_complex *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(__pyx_t_double_complex)))));

    /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":781
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":780
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n+p, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":782
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":785
 * 
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_geqrf(((__pyx_v_m - __pyx_v_n) + __pyx_v_p), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":787
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":786
 *         # qr
 *         info = geqrf(m-n+p, p, index2(r, rs, n-p, k), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":790
 * 
 *         # apply the Q from this small qr to the last (m-(n-p)) columns of q.
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,             # <<<<<<<<<<<<<<
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_side, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - (__pyx_v_n - __pyx_v_p)), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - __pyx_v_p), __pyx_v_k), __pyx_v_m, __pyx_v_tau, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, (__pyx_v_n - __pyx_v_p)), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":793
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         libc.stdlib.free(work)
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":792
 *         info = ormqr(side, trans, m, m-(n-p), p, index2(r, rs, n-p, k), m,
 *                 tau, index2(q, qs, 0, n-p), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":795
 *             return info
 * 
 *         libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 * 
 *         # zero the reflectors since we're done with them
 */
    free(__pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":799
 *         # zero the reflectors since we're done with them
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):             # <<<<<<<<<<<<<<
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))
 * 
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_j = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":800
 *         # memset can be used here, since r is always fortan order
 *         for j in range(p):
 *             memset(index2(r, rs, n-p+1+j, k+j), 0, (m-(n-p+1+j))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # now we have something that looks like
 */
      memset(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j), (__pyx_v_k + __pyx_v_j)), 0, ((__pyx_v_m - (((__pyx_v_n - __pyx_v_p) + 1) + __pyx_v_j)) * (sizeof(__pyx_t_double_complex))));
    }

    /* "scipy/linalg/_decomp_update.pyx":818
 *         # and the rest of the columns need to be eliminated using rotations.
 * 
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":819
 * 
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (((__pyx_v_n - __pyx_v_p) + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":820
 *         for i in range(p):
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":822
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":821
 *             for j in range(n-p+i-1, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":824
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     else:
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":747
 *     cdef char* trans = 'N'
 * 
 *     if m >= n:             # <<<<<<<<<<<<<<
 *         # if m > n, r looks like this.
 *         # x x x x x x x x x x
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":828
 *     else:
 *         # this case we can only uses givens rotations.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":829
 *         # this case we can only uses givens rotations.
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 */
      __pyx_t_5 = ((__pyx_v_k + __pyx_v_i) - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":830
 *         for i in range(p):
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_k + __pyx_v_i)), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_k + __pyx_v_i)), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":832
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],             # <<<<<<<<<<<<<<
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 */
          __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((((__pyx_v_n - __pyx_v_k) - __pyx_v_i) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), ((__pyx_v_k + __pyx_v_i) + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":831
 *             for j in range(m-2, k+i-1, -1):
 *                 lartg(index2(r, rs, j, k+i), index2(r, rs, j+1, k+i), &c, &s)
 *                 if j+1 < n:             # <<<<<<<<<<<<<<
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":834
 *                     rot(n-k-i-1, index2(r, rs, j, k+i+1), rs[1],
 *                             index2(r, rs, j+1, k+i+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 *     return 0
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
      }
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":836
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":737
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef int qr_block_col_insert(int m, int n, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *                               blas_t* r, int* rs, int k, int p) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":838
 *     return 0
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *     blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs, blas_t* s,
 *     int* ss) nogil:
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, float *__pyx_v_r, int *__pyx_v_rs, float *__pyx_v_u, int *__pyx_v_us, float *__pyx_v_v, int *__pyx_v_vs, float *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  CYTHON_UNUSED int __pyx_v_info;
  float __pyx_v_c;
  float __pyx_v_sn;
  float __pyx_v_rlast;
  float __pyx_v_t;
  float __pyx_v_rcond;
  int __pyx_t_1;
  long __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":845
 *     """
 *     cdef int j, info
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0             # <<<<<<<<<<<<<<
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)
 */
  __pyx_v_rcond = 0.0;

  /* "scipy/linalg/_decomp_update.pyx":847
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)             # <<<<<<<<<<<<<<
 * 
 *     # reduce s with givens, using u as the n+1 column of q
 */
  __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_u, __pyx_v_us, __pyx_v_s, (&__pyx_v_rcond));

  /* "scipy/linalg/_decomp_update.pyx":851
 *     # reduce s with givens, using u as the n+1 column of q
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)             # <<<<<<<<<<<<<<
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_n - 1)), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":852
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]             # <<<<<<<<<<<<<<
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 */
  __pyx_v_t = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]);

  /* "scipy/linalg/_decomp_update.pyx":853
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()             # <<<<<<<<<<<<<<
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 */
  __pyx_v_rlast = ((-__pyx_v_t) *  (__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":854
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]) = (__pyx_v_t * __pyx_v_c);

  /* "scipy/linalg/_decomp_update.pyx":855
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     for j in range(n-2, -1, -1):
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c,  (__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":857
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 *     for j in range(n-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 */
  for (__pyx_t_1 = (__pyx_v_n - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":858
 * 
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":859
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":861
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row of r
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":864
 * 
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":865
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r is upper hessenberg with the only value in the last row stored in
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_s[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":870
 *     # rlast (This is very similar to hessenberg_qr below, but this loop ends
 *     # at n-1 instead of n)
 *     for j in range(n-1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 */
  __pyx_t_2 = (__pyx_v_n - 1);
  for (__pyx_t_1 = 0; __pyx_t_1 < __pyx_t_2; __pyx_t_1+=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":871
 *     # at n-1 instead of n)
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":872
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":874
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # handle the extra value in rlast
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":877
 * 
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1)), (&__pyx_v_rlast), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":878
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c,  (__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":838
 *     return 0
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *     blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs, blas_t* s,
 *     int* ss) nogil:
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, double *__pyx_v_r, int *__pyx_v_rs, double *__pyx_v_u, int *__pyx_v_us, double *__pyx_v_v, int *__pyx_v_vs, double *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  CYTHON_UNUSED int __pyx_v_info;
  double __pyx_v_c;
  double __pyx_v_sn;
  double __pyx_v_rlast;
  double __pyx_v_t;
  double __pyx_v_rcond;
  int __pyx_t_1;
  long __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":845
 *     """
 *     cdef int j, info
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0             # <<<<<<<<<<<<<<
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)
 */
  __pyx_v_rcond = 0.0;

  /* "scipy/linalg/_decomp_update.pyx":847
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)             # <<<<<<<<<<<<<<
 * 
 *     # reduce s with givens, using u as the n+1 column of q
 */
  __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_u, __pyx_v_us, __pyx_v_s, (&__pyx_v_rcond));

  /* "scipy/linalg/_decomp_update.pyx":851
 *     # reduce s with givens, using u as the n+1 column of q
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)             # <<<<<<<<<<<<<<
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_n - 1)), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":852
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]             # <<<<<<<<<<<<<<
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 */
  __pyx_v_t = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]);

  /* "scipy/linalg/_decomp_update.pyx":853
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()             # <<<<<<<<<<<<<<
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 */
  __pyx_v_rlast = ((-__pyx_v_t) *  (__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":854
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]) = (__pyx_v_t * __pyx_v_c);

  /* "scipy/linalg/_decomp_update.pyx":855
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     for j in range(n-2, -1, -1):
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c,  (__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":857
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 *     for j in range(n-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 */
  for (__pyx_t_1 = (__pyx_v_n - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":858
 * 
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":859
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":861
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row of r
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":864
 * 
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":865
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r is upper hessenberg with the only value in the last row stored in
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_s[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":870
 *     # rlast (This is very similar to hessenberg_qr below, but this loop ends
 *     # at n-1 instead of n)
 *     for j in range(n-1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 */
  __pyx_t_2 = (__pyx_v_n - 1);
  for (__pyx_t_1 = 0; __pyx_t_1 < __pyx_t_2; __pyx_t_1+=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":871
 *     # at n-1 instead of n)
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":872
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":874
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # handle the extra value in rlast
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":877
 * 
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1)), (&__pyx_v_rlast), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":878
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c,  (__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":838
 *     return 0
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *     blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs, blas_t* s,
 *     int* ss) nogil:
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_float_complex *__pyx_v_v, int *__pyx_v_vs, __pyx_t_float_complex *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  CYTHON_UNUSED int __pyx_v_info;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_sn;
  __pyx_t_float_complex __pyx_v_rlast;
  __pyx_t_float_complex __pyx_v_t;
  __pyx_t_float_complex __pyx_v_rcond;
  int __pyx_t_1;
  long __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":845
 *     """
 *     cdef int j, info
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0             # <<<<<<<<<<<<<<
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)
 */
  __pyx_v_rcond = __pyx_t_float_complex_from_parts(0.0, 0);

  /* "scipy/linalg/_decomp_update.pyx":847
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)             # <<<<<<<<<<<<<<
 * 
 *     # reduce s with givens, using u as the n+1 column of q
 */
  __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_u, __pyx_v_us, __pyx_v_s, (&__pyx_v_rcond));

  /* "scipy/linalg/_decomp_update.pyx":851
 *     # reduce s with givens, using u as the n+1 column of q
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)             # <<<<<<<<<<<<<<
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_n - 1)), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":852
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]             # <<<<<<<<<<<<<<
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 */
  __pyx_v_t = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]);

  /* "scipy/linalg/_decomp_update.pyx":853
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()             # <<<<<<<<<<<<<<
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 */
  __pyx_v_rlast = __Pyx_c_prodf(__Pyx_c_negf(__pyx_v_t), __Pyx_c_conjf(__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":854
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]) = __Pyx_c_prodf(__pyx_v_t, __pyx_v_c);

  /* "scipy/linalg/_decomp_update.pyx":855
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     for j in range(n-2, -1, -1):
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":857
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 *     for j in range(n-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 */
  for (__pyx_t_1 = (__pyx_v_n - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":858
 * 
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":859
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":861
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row of r
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":864
 * 
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":865
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r is upper hessenberg with the only value in the last row stored in
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_s[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":870
 *     # rlast (This is very similar to hessenberg_qr below, but this loop ends
 *     # at n-1 instead of n)
 *     for j in range(n-1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 */
  __pyx_t_2 = (__pyx_v_n - 1);
  for (__pyx_t_1 = 0; __pyx_t_1 < __pyx_t_2; __pyx_t_1+=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":871
 *     # at n-1 instead of n)
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":872
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":874
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # handle the extra value in rlast
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":877
 * 
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1)), (&__pyx_v_rlast), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":878
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":838
 *     return 0
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *     blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs, blas_t* s,
 *     int* ss) nogil:
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_double_complex *__pyx_v_v, int *__pyx_v_vs, __pyx_t_double_complex *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  CYTHON_UNUSED int __pyx_v_info;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_sn;
  __pyx_t_double_complex __pyx_v_rlast;
  __pyx_t_double_complex __pyx_v_t;
  __pyx_t_double_complex __pyx_v_rcond;
  int __pyx_t_1;
  long __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":845
 *     """
 *     cdef int j, info
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0             # <<<<<<<<<<<<<<
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)
 */
  __pyx_v_rcond = __pyx_t_double_complex_from_parts(0.0, 0);

  /* "scipy/linalg/_decomp_update.pyx":847
 *     cdef blas_t c, sn, rlast, t, rcond = 0.0
 * 
 *     info = reorth(m, n, q, qs, qisF, u, us, s, &rcond)             # <<<<<<<<<<<<<<
 * 
 *     # reduce s with givens, using u as the n+1 column of q
 */
  __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorth(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_u, __pyx_v_us, __pyx_v_s, (&__pyx_v_rcond));

  /* "scipy/linalg/_decomp_update.pyx":851
 *     # reduce s with givens, using u as the n+1 column of q
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)             # <<<<<<<<<<<<<<
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_n - 1)), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_n), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":852
 *     # do the first one since the rots will be different.
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]             # <<<<<<<<<<<<<<
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 */
  __pyx_v_t = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]);

  /* "scipy/linalg/_decomp_update.pyx":853
 *     lartg(index1(s, ss, n-1), index1(s, ss, n), &c, &sn)
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()             # <<<<<<<<<<<<<<
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 */
  __pyx_v_rlast = __Pyx_c_prod(__Pyx_c_neg(__pyx_v_t), __Pyx_c_conj(__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":854
 *     t = index2(r, rs, n-1, n-1)[0]
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1))[0]) = __Pyx_c_prod(__pyx_v_t, __pyx_v_c);

  /* "scipy/linalg/_decomp_update.pyx":855
 *     rlast = -t * sn.conjugate()
 *     index2(r, rs, n-1, n-1)[0] = t * c
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     for j in range(n-2, -1, -1):
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":857
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 *     for j in range(n-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 */
  for (__pyx_t_1 = (__pyx_v_n - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":858
 * 
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_s, __pyx_v_ss, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":859
 *     for j in range(n-2, -1, -1):
 *         lartg(index1(s, ss, j), index1(s, ss, j+1), &c, &sn)
 *         rot(n-j, index2(r, rs, j, j), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":861
 *         rot(n-j, index2(r, rs, j, j), rs[1],
 *                 index2(r, rs, j+1, j), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row of r
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":864
 * 
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":865
 *     # add v to the first row of r
 *     blas_t_conj(n, v, vs)
 *     axpy(n, s[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r is upper hessenberg with the only value in the last row stored in
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_s[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":870
 *     # rlast (This is very similar to hessenberg_qr below, but this loop ends
 *     # at n-1 instead of n)
 *     for j in range(n-1):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 */
  __pyx_t_2 = (__pyx_v_n - 1);
  for (__pyx_t_1 = 0; __pyx_t_1 < __pyx_t_2; __pyx_t_1+=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":871
 *     # at n-1 instead of n)
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)             # <<<<<<<<<<<<<<
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_sn));

    /* "scipy/linalg/_decomp_update.pyx":872
 *     for j in range(n-1):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &sn)
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_sn);

    /* "scipy/linalg/_decomp_update.pyx":874
 *         rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                 index2(r, rs, j+1, j+1), rs[1], c, sn)
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # handle the extra value in rlast
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_sn));
  }

  /* "scipy/linalg/_decomp_update.pyx":877
 * 
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)             # <<<<<<<<<<<<<<
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_n - 1), (__pyx_v_n - 1)), (&__pyx_v_rlast), (&__pyx_v_c), (&__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":878
 *     # handle the extra value in rlast
 *     lartg(index2(r, rs, n-1, n-1), &rlast, &c, &sn)
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_n - 1)), (__pyx_v_qs[0]), __pyx_v_u, (__pyx_v_us[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_sn));

  /* "scipy/linalg/_decomp_update.pyx":838
 *     return 0
 * 
 * cdef void thin_qr_rank_1_update(int m, int n, blas_t* q, int* qs, bint qisF,             # <<<<<<<<<<<<<<
 *     blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs, blas_t* s,
 *     int* ss) nogil:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":880
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *     bint qisF, blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs,
 *     blas_t* s, int* ss) nogil:
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, float *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, float *__pyx_v_r, int *__pyx_v_rs, float *__pyx_v_u, int *__pyx_v_us, float *__pyx_v_v, int *__pyx_v_vs, float *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":888
 *     cdef int j
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,
 *                               col(v, vs, j), vs, s, ss)
 */
  __pyx_t_1 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":889
 * 
 *     for j in range(p):
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,             # <<<<<<<<<<<<<<
 *                               col(v, vs, j), vs, s, ss)
 * 
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_r, __pyx_v_rs, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_v, __pyx_v_vs, __pyx_v_j), __pyx_v_vs, __pyx_v_s, __pyx_v_ss);
  }

  /* "scipy/linalg/_decomp_update.pyx":880
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *     bint qisF, blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs,
 *     blas_t* s, int* ss) nogil:
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, double *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, double *__pyx_v_r, int *__pyx_v_rs, double *__pyx_v_u, int *__pyx_v_us, double *__pyx_v_v, int *__pyx_v_vs, double *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":888
 *     cdef int j
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,
 *                               col(v, vs, j), vs, s, ss)
 */
  __pyx_t_1 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":889
 * 
 *     for j in range(p):
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,             # <<<<<<<<<<<<<<
 *                               col(v, vs, j), vs, s, ss)
 * 
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_r, __pyx_v_rs, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_v, __pyx_v_vs, __pyx_v_j), __pyx_v_vs, __pyx_v_s, __pyx_v_ss);
  }

  /* "scipy/linalg/_decomp_update.pyx":880
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *     bint qisF, blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs,
 *     blas_t* s, int* ss) nogil:
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_float_complex *__pyx_v_v, int *__pyx_v_vs, __pyx_t_float_complex *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":888
 *     cdef int j
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,
 *                               col(v, vs, j), vs, s, ss)
 */
  __pyx_t_1 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":889
 * 
 *     for j in range(p):
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,             # <<<<<<<<<<<<<<
 *                               col(v, vs, j), vs, s, ss)
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_r, __pyx_v_rs, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_v, __pyx_v_vs, __pyx_v_j), __pyx_v_vs, __pyx_v_s, __pyx_v_ss);
  }

  /* "scipy/linalg/_decomp_update.pyx":880
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *     bint qisF, blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs,
 *     blas_t* s, int* ss) nogil:
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_double_complex *__pyx_v_v, int *__pyx_v_vs, __pyx_t_double_complex *__pyx_v_s, int *__pyx_v_ss) {
  int __pyx_v_j;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":888
 *     cdef int j
 * 
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,
 *                               col(v, vs, j), vs, s, ss)
 */
  __pyx_t_1 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":889
 * 
 *     for j in range(p):
 *         thin_qr_rank_1_update(m, n, q, qs, qisF, r, rs, col(u, us, j), us,             # <<<<<<<<<<<<<<
 *                               col(v, vs, j), vs, s, ss)
 * 
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_1_update(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_qisF, __pyx_v_r, __pyx_v_rs, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_v_us, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_v, __pyx_v_vs, __pyx_v_j), __pyx_v_vs, __pyx_v_s, __pyx_v_ss);
  }

  /* "scipy/linalg/_decomp_update.pyx":880
 *     rot(m, col(q, qs, n-1), qs[0], u, us[0], c, sn.conjugate())
 * 
 * cdef void thin_qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs,             # <<<<<<<<<<<<<<
 *     bint qisF, blas_t* r, int* rs, blas_t* u, int* us, blas_t* v, int* vs,
 *     blas_t* s, int* ss) nogil:
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":892
 *                               col(v, vs, j), vs, s, ss)
 * 
 * cdef void qr_rank_1_update(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                            blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     """ here we will assume that the u = Q.T.dot(u) and not the bare u.
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, float *__pyx_v_u, int *__pyx_v_us, float *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":908
 *     # triangular.
 * 
 *     for j in range(m-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)
 * 
 */
  for (__pyx_t_1 = (__pyx_v_m - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":909
 * 
 *     for j in range(m-2, -1, -1):
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th rows of r.
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    __pyx_t_2 = (((__pyx_v_n - __pyx_v_j) > 0) != 0);
    if (__pyx_t_2) {

      /* "scipy/linalg/_decomp_update.pyx":913
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th cols of q.
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":916
 * 
 *         # update jth and (j+1)th cols of q.
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":919
 * 
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":920
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # return to q, r form
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_u[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":923
 * 
 *     # return to q, r form
 *     hessenberg_qr(m, n, q, qs, r, rs, 0)             # <<<<<<<<<<<<<<
 *     # no return, return q, r from python driver.
 * 
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0);

  /* "scipy/linalg/_decomp_update.pyx":892
 *                               col(v, vs, j), vs, s, ss)
 * 
 * cdef void qr_rank_1_update(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                            blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     """ here we will assume that the u = Q.T.dot(u) and not the bare u.
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, double *__pyx_v_u, int *__pyx_v_us, double *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":908
 *     # triangular.
 * 
 *     for j in range(m-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)
 * 
 */
  for (__pyx_t_1 = (__pyx_v_m - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":909
 * 
 *     for j in range(m-2, -1, -1):
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th rows of r.
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    __pyx_t_2 = (((__pyx_v_n - __pyx_v_j) > 0) != 0);
    if (__pyx_t_2) {

      /* "scipy/linalg/_decomp_update.pyx":913
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th cols of q.
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":916
 * 
 *         # update jth and (j+1)th cols of q.
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":919
 * 
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":920
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # return to q, r form
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_u[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":923
 * 
 *     # return to q, r form
 *     hessenberg_qr(m, n, q, qs, r, rs, 0)             # <<<<<<<<<<<<<<
 *     # no return, return q, r from python driver.
 * 
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0);

  /* "scipy/linalg/_decomp_update.pyx":892
 *                               col(v, vs, j), vs, s, ss)
 * 
 * cdef void qr_rank_1_update(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                            blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     """ here we will assume that the u = Q.T.dot(u) and not the bare u.
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_float_complex *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":908
 *     # triangular.
 * 
 *     for j in range(m-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)
 * 
 */
  for (__pyx_t_1 = (__pyx_v_m - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":909
 * 
 *     for j in range(m-2, -1, -1):
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th rows of r.
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    __pyx_t_2 = (((__pyx_v_n - __pyx_v_j) > 0) != 0);
    if (__pyx_t_2) {

      /* "scipy/linalg/_decomp_update.pyx":913
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th cols of q.
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":916
 * 
 *         # update jth and (j+1)th cols of q.
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":919
 * 
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":920
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # return to q, r form
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_u[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":923
 * 
 *     # return to q, r form
 *     hessenberg_qr(m, n, q, qs, r, rs, 0)             # <<<<<<<<<<<<<<
 *     # no return, return q, r from python driver.
 * 
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0);

  /* "scipy/linalg/_decomp_update.pyx":892
 *                               col(v, vs, j), vs, s, ss)
 * 
 * cdef void qr_rank_1_update(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                            blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     """ here we will assume that the u = Q.T.dot(u) and not the bare u.
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_double_complex *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "scipy/linalg/_decomp_update.pyx":908
 *     # triangular.
 * 
 *     for j in range(m-2, -1, -1):             # <<<<<<<<<<<<<<
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)
 * 
 */
  for (__pyx_t_1 = (__pyx_v_m - 2); __pyx_t_1 > -1L; __pyx_t_1-=1) {
    __pyx_v_j = __pyx_t_1;

    /* "scipy/linalg/_decomp_update.pyx":909
 * 
 *     for j in range(m-2, -1, -1):
 *         lartg(index1(u, us, j), index1(u, us, j+1), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th rows of r.
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index1(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1)), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    __pyx_t_2 = (((__pyx_v_n - __pyx_v_j) > 0) != 0);
    if (__pyx_t_2) {

      /* "scipy/linalg/_decomp_update.pyx":913
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)             # <<<<<<<<<<<<<<
 * 
 *         # update jth and (j+1)th cols of q.
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot((__pyx_v_n - __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":912
 * 
 *         # update jth and (j+1)th rows of r.
 *         if n-j > 0:             # <<<<<<<<<<<<<<
 *             rot(n-j, index2(r, rs, j, j), rs[1], index2(r, rs, j+1, j), rs[1], c, s)
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":916
 * 
 *         # update jth and (j+1)th cols of q.
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 *     # add v to the first row
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":919
 * 
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)             # <<<<<<<<<<<<<<
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])
 * 
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":920
 *     # add v to the first row
 *     blas_t_conj(n, v, vs)
 *     axpy(n, u[0],  v, vs[0], row(r, rs, 0), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # return to q, r form
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, (__pyx_v_u[0]), __pyx_v_v, (__pyx_v_vs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, 0), (__pyx_v_rs[1]));

  /* "scipy/linalg/_decomp_update.pyx":923
 * 
 *     # return to q, r form
 *     hessenberg_qr(m, n, q, qs, r, rs, 0)             # <<<<<<<<<<<<<<
 *     # no return, return q, r from python driver.
 * 
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(__pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0);

  /* "scipy/linalg/_decomp_update.pyx":892
 *                               col(v, vs, j), vs, s, ss)
 * 
 * cdef void qr_rank_1_update(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                            blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     """ here we will assume that the u = Q.T.dot(u) and not the bare u.
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":926
 *     # no return, return q, r from python driver.
 * 
 * cdef int qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     cdef int i, j
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, float *__pyx_v_u, int *__pyx_v_us, float *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_i;
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  float *__pyx_v_tau;
  float *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  char *__pyx_v_uplo;
  char *__pyx_v_trans;
  char *__pyx_v_diag;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":930
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":931
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":933
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":934
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":935
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'
 */
  __pyx_v_uplo = __pyx_k_U;

  /* "scipy/linalg/_decomp_update.pyx":936
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* diag = 'N'
 * 
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":937
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m > n:
 */
  __pyx_v_diag = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
  __pyx_t_1 = ((__pyx_v_m > __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":944
 *         # minimum, ormqr will also require.
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":945
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":947
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":948
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":951
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":954
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":957
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = (__pyx_v_m - __pyx_v_n);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((float *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(float)))));

    /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":959
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":960
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":963
 * 
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             libc.stdlib.free(work)
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":965
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":966
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":969
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":972
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":973
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":976
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":977
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = ((__pyx_v_n + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":978
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":980
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":982
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":983
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":988
 *     else: # m == n or m < n
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":989
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":990
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":992
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":994
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":995
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":999
 * 
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_v_work = ((float *)malloc((__pyx_v_n * (sizeof(float)))));

    /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":1001
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # now form UV**H and add it to R.
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1005
 *     # now form UV**H and add it to R.
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)             # <<<<<<<<<<<<<<
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)
 * 
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(__pyx_v_p, __pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":1006
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)             # <<<<<<<<<<<<<<
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_trmm(__pyx_v_sideL, __pyx_v_uplo, __pyx_v_trans, __pyx_v_diag, __pyx_v_p, __pyx_v_n, 1.0, __pyx_v_u, __pyx_v_m, __pyx_v_v, __pyx_v_p);

  /* "scipy/linalg/_decomp_update.pyx":1009
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])
 * 
 */
  __pyx_t_4 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1010
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_v, __pyx_v_vs, __pyx_v_j), (__pyx_v_vs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":1013
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1015
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1016
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":926
 *     # no return, return q, r from python driver.
 * 
 * cdef int qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, double *__pyx_v_u, int *__pyx_v_us, double *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_i;
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  double *__pyx_v_tau;
  double *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  char *__pyx_v_uplo;
  char *__pyx_v_trans;
  char *__pyx_v_diag;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":930
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":931
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":933
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":934
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":935
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'
 */
  __pyx_v_uplo = __pyx_k_U;

  /* "scipy/linalg/_decomp_update.pyx":936
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* diag = 'N'
 * 
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":937
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m > n:
 */
  __pyx_v_diag = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
  __pyx_t_1 = ((__pyx_v_m > __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":944
 *         # minimum, ormqr will also require.
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":945
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":947
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":948
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":951
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":954
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":957
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = (__pyx_v_m - __pyx_v_n);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((double *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(double)))));

    /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":959
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":960
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":963
 * 
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             libc.stdlib.free(work)
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":965
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":966
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":969
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":972
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":973
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":976
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":977
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = ((__pyx_v_n + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":978
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":980
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":982
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":983
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":988
 *     else: # m == n or m < n
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":989
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":990
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":992
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":994
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":995
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":999
 * 
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_v_work = ((double *)malloc((__pyx_v_n * (sizeof(double)))));

    /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":1001
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # now form UV**H and add it to R.
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1005
 *     # now form UV**H and add it to R.
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)             # <<<<<<<<<<<<<<
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)
 * 
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(__pyx_v_p, __pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":1006
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)             # <<<<<<<<<<<<<<
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_trmm(__pyx_v_sideL, __pyx_v_uplo, __pyx_v_trans, __pyx_v_diag, __pyx_v_p, __pyx_v_n, 1.0, __pyx_v_u, __pyx_v_m, __pyx_v_v, __pyx_v_p);

  /* "scipy/linalg/_decomp_update.pyx":1009
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])
 * 
 */
  __pyx_t_4 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1010
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_v, __pyx_v_vs, __pyx_v_j), (__pyx_v_vs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":1013
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1015
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1016
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":926
 *     # no return, return q, r from python driver.
 * 
 * cdef int qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_float_complex *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_i;
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  __pyx_t_float_complex *__pyx_v_tau;
  __pyx_t_float_complex *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  char *__pyx_v_uplo;
  char *__pyx_v_trans;
  char *__pyx_v_diag;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":930
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":931
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":933
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":934
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":935
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'
 */
  __pyx_v_uplo = __pyx_k_U;

  /* "scipy/linalg/_decomp_update.pyx":936
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* diag = 'N'
 * 
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":937
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m > n:
 */
  __pyx_v_diag = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
  __pyx_t_1 = ((__pyx_v_m > __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":944
 *         # minimum, ormqr will also require.
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":945
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":947
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":948
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":951
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":954
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":957
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = (__pyx_v_m - __pyx_v_n);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((__pyx_t_float_complex *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(__pyx_t_float_complex)))));

    /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":959
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":960
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":963
 * 
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             libc.stdlib.free(work)
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":965
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":966
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":969
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":972
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":973
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":976
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":977
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = ((__pyx_v_n + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":978
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":980
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":982
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":983
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":988
 *     else: # m == n or m < n
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":989
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":990
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":992
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":994
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":995
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":999
 * 
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_v_work = ((__pyx_t_float_complex *)malloc((__pyx_v_n * (sizeof(__pyx_t_float_complex)))));

    /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":1001
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # now form UV**H and add it to R.
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1005
 *     # now form UV**H and add it to R.
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)             # <<<<<<<<<<<<<<
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)
 * 
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(__pyx_v_p, __pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":1006
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)             # <<<<<<<<<<<<<<
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_trmm(__pyx_v_sideL, __pyx_v_uplo, __pyx_v_trans, __pyx_v_diag, __pyx_v_p, __pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, __pyx_v_m, __pyx_v_v, __pyx_v_p);

  /* "scipy/linalg/_decomp_update.pyx":1009
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])
 * 
 */
  __pyx_t_4 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1010
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_v, __pyx_v_vs, __pyx_v_j), (__pyx_v_vs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":1013
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1015
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1016
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":926
 *     # no return, return q, r from python driver.
 * 
 * cdef int qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_p_update(int __pyx_v_m, int __pyx_v_n, int __pyx_v_p, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_double_complex *__pyx_v_v, int *__pyx_v_vs) {
  int __pyx_v_i;
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  __pyx_t_double_complex *__pyx_v_tau;
  __pyx_t_double_complex *__pyx_v_work;
  int __pyx_v_info;
  int __pyx_v_lwork;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  char *__pyx_v_uplo;
  char *__pyx_v_trans;
  char *__pyx_v_diag;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  long __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":930
 *     cdef int i, j
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL             # <<<<<<<<<<<<<<
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 */
  __pyx_v_tau = NULL;

  /* "scipy/linalg/_decomp_update.pyx":931
 *     cdef blas_t c, s
 *     cdef blas_t* tau = NULL
 *     cdef blas_t* work = NULL             # <<<<<<<<<<<<<<
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 */
  __pyx_v_work = NULL;

  /* "scipy/linalg/_decomp_update.pyx":933
 *     cdef blas_t* work = NULL
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":934
 *     cdef int info, lwork
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":935
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'             # <<<<<<<<<<<<<<
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'
 */
  __pyx_v_uplo = __pyx_k_U;

  /* "scipy/linalg/_decomp_update.pyx":936
 *     cdef char* sideL = 'L'
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* diag = 'N'
 * 
 */
  __pyx_v_trans = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":937
 *     cdef char* uplo = 'U'
 *     cdef char* trans = 'N'
 *     cdef char* diag = 'N'             # <<<<<<<<<<<<<<
 * 
 *     if m > n:
 */
  __pyx_v_diag = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
  __pyx_t_1 = ((__pyx_v_m > __pyx_v_n) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":944
 *         # minimum, ormqr will also require.
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c             # <<<<<<<<<<<<<<
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 */
    __pyx_v_tau = (&__pyx_v_c);

    /* "scipy/linalg/_decomp_update.pyx":945
 *         # set tau to point at something, to keep new MKL working.
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, (&__pyx_v_c), -1);

    /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":947
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":946
 *         tau = &c
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, &c, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":948
 *         if info < 0:
 *             return libc.stdlib.abs(info)
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, (&__pyx_v_s), -1);

    /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":951
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # we're only doing one allocation, so use the larger
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":950
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, &s, -1)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":954
 * 
 *         # we're only doing one allocation, so use the larger
 *         lwork = to_lwork(c, s)             # <<<<<<<<<<<<<<
 * 
 *         # allocate the workspace + tau
 */
    __pyx_v_lwork = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_to_lwork(__pyx_v_c, __pyx_v_s);

    /* "scipy/linalg/_decomp_update.pyx":957
 * 
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_t_2 = __pyx_v_p;
    __pyx_t_3 = (__pyx_v_m - __pyx_v_n);
    if (((__pyx_t_2 < __pyx_t_3) != 0)) {
      __pyx_t_4 = __pyx_t_2;
    } else {
      __pyx_t_4 = __pyx_t_3;
    }
    __pyx_v_work = ((__pyx_t_double_complex *)malloc(((__pyx_v_lwork + __pyx_t_4) * (sizeof(__pyx_t_double_complex)))));

    /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":959
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 *         tau = work + lwork
 * 
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":958
 *         # allocate the workspace + tau
 *         work = <blas_t*>libc.stdlib.malloc((lwork+min(m-n, p))*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 *         tau = work + lwork
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":960
 *         if not work:
 *             return MEMORY_ERROR
 *         tau = work + lwork             # <<<<<<<<<<<<<<
 * 
 *         # qr
 */
    __pyx_v_tau = (__pyx_v_work + __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":963
 * 
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)             # <<<<<<<<<<<<<<
 *         if info < 0:
 *             libc.stdlib.free(work)
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_geqrf((__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":965
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return libc.stdlib.abs(info)
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":966
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)             # <<<<<<<<<<<<<<
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 */
      __pyx_r = abs(__pyx_v_info);
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":964
 *         # qr
 *         info = geqrf(m-n, p, index2(u, us, n, 0), m, tau, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return libc.stdlib.abs(info)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":969
 * 
 *         # apply the Q from this small qr to the last (m-n) columns of q.
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 */
    __pyx_v_info = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_ormqr(__pyx_v_sideR, __pyx_v_trans, __pyx_v_m, (__pyx_v_m - __pyx_v_n), __pyx_v_p, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_n, 0), __pyx_v_m, __pyx_v_tau, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_n), __pyx_v_m, __pyx_v_work, __pyx_v_lwork);

    /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    __pyx_t_1 = ((__pyx_v_info < 0) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":972
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:
 *             libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *             return info
 * 
 */
      free(__pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":973
 *         if info < 0:
 *             libc.stdlib.free(work)
 *             return info             # <<<<<<<<<<<<<<
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 */
      __pyx_r = __pyx_v_info;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":971
 *         info = ormqr(sideR, trans, m, m-n, p, index2(u, us, n, 0), m, tau,
 *                 index2(q, qs, 0, n), m, work, lwork)
 *         if info < 0:             # <<<<<<<<<<<<<<
 *             libc.stdlib.free(work)
 *             return info
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":976
 * 
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":977
 *         # reduce u the rest of the way to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = ((__pyx_v_n + __pyx_v_i) - 1); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":978
 *         for i in range(p):
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":980
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":979
 *             for j in range(n+i-1, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":982
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":983
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":939
 *     cdef char* diag = 'N'
 * 
 *     if m > n:             # <<<<<<<<<<<<<<
 *         # query the workspace
 *         # below p_subdiag_qr will need workspace of size m, which is the
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":988
 *     else: # m == n or m < n
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):             # <<<<<<<<<<<<<<
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_p;
    for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
      __pyx_v_i = __pyx_t_2;

      /* "scipy/linalg/_decomp_update.pyx":989
 *         # reduce u to upper triangular using givens.
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):             # <<<<<<<<<<<<<<
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 */
      __pyx_t_5 = (__pyx_v_i - 1);
      for (__pyx_t_3 = (__pyx_v_m - 2); __pyx_t_3 > __pyx_t_5; __pyx_t_3-=1) {
        __pyx_v_j = __pyx_t_3;

        /* "scipy/linalg/_decomp_update.pyx":990
 *         for i in range(p):
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)             # <<<<<<<<<<<<<<
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, __pyx_v_i), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), __pyx_v_i), (&__pyx_v_c), (&__pyx_v_s));

        /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        __pyx_t_1 = (((__pyx_v_p - __pyx_v_i) - 1) != 0);
        if (__pyx_t_1) {

          /* "scipy/linalg/_decomp_update.pyx":992
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],             # <<<<<<<<<<<<<<
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 */
          __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_p - __pyx_v_i) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, __pyx_v_j, (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_u, __pyx_v_us, (__pyx_v_j + 1), (__pyx_v_i + 1)), (__pyx_v_us[1]), __pyx_v_c, __pyx_v_s);

          /* "scipy/linalg/_decomp_update.pyx":991
 *             for j in range(m-2, i-1, -1):
 *                 lartg(index2(u, us, j, i), index2(u, us, j+1, i), &c, &s)
 *                 if p-i-1:             # <<<<<<<<<<<<<<
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 */
        }

        /* "scipy/linalg/_decomp_update.pyx":994
 *                     rot(p-i-1, index2(u, us, j, i+1), us[1],
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)             # <<<<<<<<<<<<<<
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],
 *                         c, s.conjugate())
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_n, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

        /* "scipy/linalg/_decomp_update.pyx":995
 *                             index2(u, us, j+1, i+1), us[1], c, s)
 *                 rot(n, row(r, rs, j), rs[1], row(r, rs, j+1), rs[1], c, s)
 *                 rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0],             # <<<<<<<<<<<<<<
 *                         c, s.conjugate())
 * 
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
      }
    }

    /* "scipy/linalg/_decomp_update.pyx":999
 * 
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))             # <<<<<<<<<<<<<<
 *         if not work:
 *             return MEMORY_ERROR
 */
    __pyx_v_work = ((__pyx_t_double_complex *)malloc((__pyx_v_n * (sizeof(__pyx_t_double_complex)))));

    /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    __pyx_t_1 = ((!(__pyx_v_work != 0)) != 0);
    if (__pyx_t_1) {

      /* "scipy/linalg/_decomp_update.pyx":1001
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:
 *             return MEMORY_ERROR             # <<<<<<<<<<<<<<
 * 
 *     # now form UV**H and add it to R.
 */
      __pyx_r = __pyx_v_5scipy_6linalg_14_decomp_update_MEMORY_ERROR;
      goto __pyx_L0;

      /* "scipy/linalg/_decomp_update.pyx":1000
 *         # allocate workspace
 *         work = <blas_t*>libc.stdlib.malloc(n*sizeof(blas_t))
 *         if not work:             # <<<<<<<<<<<<<<
 *             return MEMORY_ERROR
 * 
 */
    }
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1005
 *     # now form UV**H and add it to R.
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)             # <<<<<<<<<<<<<<
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)
 * 
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(__pyx_v_p, __pyx_v_n, __pyx_v_v, __pyx_v_vs);

  /* "scipy/linalg/_decomp_update.pyx":1006
 *     # This won't fill in any more of R than we have already.
 *     blas_t_2d_conj(p, n, v, vs)
 *     trmm(sideL, uplo, trans, diag, p, n, 1, u, m, v, p)             # <<<<<<<<<<<<<<
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_trmm(__pyx_v_sideL, __pyx_v_uplo, __pyx_v_trans, __pyx_v_diag, __pyx_v_p, __pyx_v_n, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_u, __pyx_v_m, __pyx_v_v, __pyx_v_p);

  /* "scipy/linalg/_decomp_update.pyx":1009
 * 
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):             # <<<<<<<<<<<<<<
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])
 * 
 */
  __pyx_t_4 = __pyx_v_p;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_4; __pyx_t_2+=1) {
    __pyx_v_j = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1010
 *     # (should this be n, p length adds instead since these are fortan contig?)
 *     for j in range(p):
 *         axpy(n, 1, row(v, vs, j), vs[1], row(r, rs, j), rs[1])             # <<<<<<<<<<<<<<
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_double_complex_from_parts(1, 0), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_v, __pyx_v_vs, __pyx_v_j), (__pyx_v_vs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_row(__pyx_v_r, __pyx_v_rs, __pyx_v_j), (__pyx_v_rs[1]));
  }

  /* "scipy/linalg/_decomp_update.pyx":1013
 * 
 *     # now r has p subdiagonals, eliminate them with reflectors.
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)             # <<<<<<<<<<<<<<
 * 
 *     libc.stdlib.free(work)
 */
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(__pyx_v_m, __pyx_v_m, __pyx_v_n, __pyx_v_q, __pyx_v_qs, __pyx_v_r, __pyx_v_rs, 0, __pyx_v_p, __pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1015
 *     p_subdiag_qr(m, m, n, q, qs, r, rs, 0, p, work)
 * 
 *     libc.stdlib.free(work)             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  free(__pyx_v_work);

  /* "scipy/linalg/_decomp_update.pyx":1016
 * 
 *     libc.stdlib.free(work)
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":926
 *     # no return, return q, r from python driver.
 * 
 * cdef int qr_rank_p_update(int m, int n, int p, blas_t* q, int* qs, blas_t* r,             # <<<<<<<<<<<<<<
 *                         int* rs, blas_t* u, int* us, blas_t* v, int* vs) nogil:
 *     cdef int i, j
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/linalg/_decomp_update.pyx":1018
 *     return 0
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     """Reduce an upper hessenberg matrix r, to upper triangular, starting in
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  float __pyx_v_c;
  float __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":1026
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1028
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)
 * 
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1029
 * 
 *     for j in range(k, limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update the rest of r
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_5 = (((__pyx_v_j + 1) < __pyx_v_m) != 0);
    if (__pyx_t_5) {

      /* "scipy/linalg/_decomp_update.pyx":1033
 *         # update the rest of r
 *         if j+1 < m:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1037
 * 
 *         # update q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":1018
 *     return 0
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     """Reduce an upper hessenberg matrix r, to upper triangular, starting in
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  double __pyx_v_c;
  double __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":1026
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1028
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)
 * 
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1029
 * 
 *     for j in range(k, limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update the rest of r
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_5 = (((__pyx_v_j + 1) < __pyx_v_m) != 0);
    if (__pyx_t_5) {

      /* "scipy/linalg/_decomp_update.pyx":1033
 *         # update the rest of r
 *         if j+1 < m:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1037
 * 
 *         # update q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c,  (__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":1018
 *     return 0
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     """Reduce an upper hessenberg matrix r, to upper triangular, starting in
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_float_complex __pyx_v_c;
  __pyx_t_float_complex __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":1026
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1028
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)
 * 
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1029
 * 
 *     for j in range(k, limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update the rest of r
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_5 = (((__pyx_v_j + 1) < __pyx_v_m) != 0);
    if (__pyx_t_5) {

      /* "scipy/linalg/_decomp_update.pyx":1033
 *         # update the rest of r
 *         if j+1 < m:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1037
 * 
 *         # update q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conjf(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":1018
 *     return 0
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     """Reduce an upper hessenberg matrix r, to upper triangular, starting in
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_hessenberg_qr(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k) {
  int __pyx_v_j;
  __pyx_t_double_complex __pyx_v_c;
  __pyx_t_double_complex __pyx_v_s;
  int __pyx_v_limit;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;

  /* "scipy/linalg/_decomp_update.pyx":1026
 *     cdef int j
 *     cdef blas_t c, s
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 * 
 *     for j in range(k, limit):
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1028
 *     cdef int limit = min(m-1, n)
 * 
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)
 * 
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1029
 * 
 *     for j in range(k, limit):
 *         lartg(index2(r, rs, j, j), index2(r, rs, j+1, j), &c, &s)             # <<<<<<<<<<<<<<
 * 
 *         # update the rest of r
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_lartg(__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (&__pyx_v_c), (&__pyx_v_s));

    /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    __pyx_t_5 = (((__pyx_v_j + 1) < __pyx_v_m) != 0);
    if (__pyx_t_5) {

      /* "scipy/linalg/_decomp_update.pyx":1033
 *         # update the rest of r
 *         if j+1 < m:
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],             # <<<<<<<<<<<<<<
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_c, __pyx_v_s);

      /* "scipy/linalg/_decomp_update.pyx":1032
 * 
 *         # update the rest of r
 *         if j+1 < m:             # <<<<<<<<<<<<<<
 *             rot(n-j-1, index2(r, rs, j, j+1), rs[1],
 *                     index2(r, rs, j+1, j+1), rs[1], c, s)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1037
 * 
 *         # update q
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())             # <<<<<<<<<<<<<<
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_rot(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, __pyx_v_j), (__pyx_v_qs[0]), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(__pyx_v_q, __pyx_v_qs, (__pyx_v_j + 1)), (__pyx_v_qs[0]), __pyx_v_c, __Pyx_c_conj(__pyx_v_s));
  }

  /* "scipy/linalg/_decomp_update.pyx":1018
 *     return 0
 * 
 * cdef void hessenberg_qr(int m, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                         int k) nogil:
 *     """Reduce an upper hessenberg matrix r, to upper triangular, starting in
 */

  /* function exit code */
}

/* "scipy/linalg/_decomp_update.pyx":1039
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                        int k, int p, blas_t* work) nogil:
 *     """ Reduce a matrix r to upper triangular form by eliminating the lower p
 */

static void __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, float *__pyx_v_q, int *__pyx_v_qs, float *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p, float *__pyx_v_work) {
  int __pyx_v_j;
  int __pyx_v_last;
  float __pyx_v_tau;
  float __pyx_v_rjj;
  int __pyx_v_limit;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":1051
 *     cdef blas_t tau
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1052
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 * 
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":1053
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":1056
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         # length of the reflector
 *         last = min(p+1, o-j)
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1058
 *     for j in range(k, limit):
 *         # length of the reflector
 *         last = min(p+1, o-j)             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_t_5 = (__pyx_v_o - __pyx_v_j);
    __pyx_t_3 = (__pyx_v_p + 1);
    if (((__pyx_t_5 < __pyx_t_3) != 0)) {
      __pyx_t_2 = __pyx_t_5;
    } else {
      __pyx_t_2 = __pyx_t_3;
    }
    __pyx_v_last = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1059
 *         # length of the reflector
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_rjj = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":1060
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 * 
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_last, (&__pyx_v_rjj), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":1061
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 * 
 *         # apply the reflector to r if necessary
 */
    (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = 1.0;

    /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_6 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_6) {

      /* "scipy/linalg/_decomp_update.pyx":1065
 *         # apply the reflector to r if necessary
 *         if j+1 < n:
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 * 
 */
      __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_last, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]),  (__pyx_v_tau), __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1069
 * 
 *         # apply the reflector to q
 *         larf(sideR, m, last, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 * 
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideR, __pyx_v_m, __pyx_v_last, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __pyx_v_tau, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":1073
 * 
 *         # rezero the householder vector we no longer need.
 *         memset(index2(r, rs, j+1, j), 0, (last-1)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # restore the rjj element
 */
    memset(__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), 0, ((__pyx_v_last - 1) * (sizeof(float))));

    /* "scipy/linalg/_decomp_update.pyx":1076
 * 
 *         # restore the rjj element
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 * def _reorth(cnp.ndarray q, cnp.ndarray u, rcond):
 */
    (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;
  }

  /* "scipy/linalg/_decomp_update.pyx":1039
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                        int k, int p, blas_t* work) nogil:
 *     """ Reduce a matrix r to upper triangular form by eliminating the lower p
 */

  /* function exit code */
}

static void __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, double *__pyx_v_q, int *__pyx_v_qs, double *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p, double *__pyx_v_work) {
  int __pyx_v_j;
  int __pyx_v_last;
  double __pyx_v_tau;
  double __pyx_v_rjj;
  int __pyx_v_limit;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":1051
 *     cdef blas_t tau
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1052
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 * 
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":1053
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":1056
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         # length of the reflector
 *         last = min(p+1, o-j)
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1058
 *     for j in range(k, limit):
 *         # length of the reflector
 *         last = min(p+1, o-j)             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_t_5 = (__pyx_v_o - __pyx_v_j);
    __pyx_t_3 = (__pyx_v_p + 1);
    if (((__pyx_t_5 < __pyx_t_3) != 0)) {
      __pyx_t_2 = __pyx_t_5;
    } else {
      __pyx_t_2 = __pyx_t_3;
    }
    __pyx_v_last = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1059
 *         # length of the reflector
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_rjj = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":1060
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 * 
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_last, (&__pyx_v_rjj), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":1061
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 * 
 *         # apply the reflector to r if necessary
 */
    (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = 1.0;

    /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_6 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_6) {

      /* "scipy/linalg/_decomp_update.pyx":1065
 *         # apply the reflector to r if necessary
 *         if j+1 < n:
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 * 
 */
      __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_last, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]),  (__pyx_v_tau), __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1069
 * 
 *         # apply the reflector to q
 *         larf(sideR, m, last, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 * 
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideR, __pyx_v_m, __pyx_v_last, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __pyx_v_tau, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":1073
 * 
 *         # rezero the householder vector we no longer need.
 *         memset(index2(r, rs, j+1, j), 0, (last-1)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # restore the rjj element
 */
    memset(__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), 0, ((__pyx_v_last - 1) * (sizeof(double))));

    /* "scipy/linalg/_decomp_update.pyx":1076
 * 
 *         # restore the rjj element
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 * def _reorth(cnp.ndarray q, cnp.ndarray u, rcond):
 */
    (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;
  }

  /* "scipy/linalg/_decomp_update.pyx":1039
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                        int k, int p, blas_t* work) nogil:
 *     """ Reduce a matrix r to upper triangular form by eliminating the lower p
 */

  /* function exit code */
}

static void __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_float_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p, __pyx_t_float_complex *__pyx_v_work) {
  int __pyx_v_j;
  int __pyx_v_last;
  __pyx_t_float_complex __pyx_v_tau;
  __pyx_t_float_complex __pyx_v_rjj;
  int __pyx_v_limit;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":1051
 *     cdef blas_t tau
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1052
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 * 
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":1053
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":1056
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         # length of the reflector
 *         last = min(p+1, o-j)
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1058
 *     for j in range(k, limit):
 *         # length of the reflector
 *         last = min(p+1, o-j)             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_t_5 = (__pyx_v_o - __pyx_v_j);
    __pyx_t_3 = (__pyx_v_p + 1);
    if (((__pyx_t_5 < __pyx_t_3) != 0)) {
      __pyx_t_2 = __pyx_t_5;
    } else {
      __pyx_t_2 = __pyx_t_3;
    }
    __pyx_v_last = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1059
 *         # length of the reflector
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_rjj = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":1060
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_last, (&__pyx_v_rjj), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":1061
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 * 
 *         # apply the reflector to r if necessary
 */
    (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_t_float_complex_from_parts(1, 0);

    /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_6 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_6) {

      /* "scipy/linalg/_decomp_update.pyx":1065
 *         # apply the reflector to r if necessary
 *         if j+1 < n:
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 * 
 */
      __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_last, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __Pyx_c_conjf(__pyx_v_tau), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1069
 * 
 *         # apply the reflector to q
 *         larf(sideR, m, last, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideR, __pyx_v_m, __pyx_v_last, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __pyx_v_tau, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_q, __pyx_v_qs, 0, __pyx_v_j), (__pyx_v_qs[1]), __pyx_v_work);

    /* "scipy/linalg/_decomp_update.pyx":1073
 * 
 *         # rezero the householder vector we no longer need.
 *         memset(index2(r, rs, j+1, j), 0, (last-1)*sizeof(blas_t))             # <<<<<<<<<<<<<<
 * 
 *         # restore the rjj element
 */
    memset(__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), 0, ((__pyx_v_last - 1) * (sizeof(__pyx_t_float_complex))));

    /* "scipy/linalg/_decomp_update.pyx":1076
 * 
 *         # restore the rjj element
 *         index2(r, rs, j, j)[0] = rjj             # <<<<<<<<<<<<<<
 * 
 * def _reorth(cnp.ndarray q, cnp.ndarray u, rcond):
 */
    (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_v_rjj;
  }

  /* "scipy/linalg/_decomp_update.pyx":1039
 *         rot(m, col(q, qs, j), qs[0], col(q, qs, j+1), qs[0], c, s.conjugate())
 * 
 * cdef void p_subdiag_qr(int m, int o, int n, blas_t* q, int* qs, blas_t* r, int* rs,             # <<<<<<<<<<<<<<
 *                        int k, int p, blas_t* work) nogil:
 *     """ Reduce a matrix r to upper triangular form by eliminating the lower p
 */

  /* function exit code */
}

static void __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_p_subdiag_qr(int __pyx_v_m, int __pyx_v_o, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, int *__pyx_v_qs, __pyx_t_double_complex *__pyx_v_r, int *__pyx_v_rs, int __pyx_v_k, int __pyx_v_p, __pyx_t_double_complex *__pyx_v_work) {
  int __pyx_v_j;
  int __pyx_v_last;
  __pyx_t_double_complex __pyx_v_tau;
  __pyx_t_double_complex __pyx_v_rjj;
  int __pyx_v_limit;
  char *__pyx_v_sideR;
  char *__pyx_v_sideL;
  int __pyx_t_1;
  long __pyx_t_2;
  long __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "scipy/linalg/_decomp_update.pyx":1051
 *     cdef blas_t tau
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)             # <<<<<<<<<<<<<<
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = (__pyx_v_m - 1);
  if (((__pyx_t_1 < __pyx_t_2) != 0)) {
    __pyx_t_3 = __pyx_t_1;
  } else {
    __pyx_t_3 = __pyx_t_2;
  }
  __pyx_v_limit = __pyx_t_3;

  /* "scipy/linalg/_decomp_update.pyx":1052
 *     cdef blas_t rjj
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'             # <<<<<<<<<<<<<<
 *     cdef char* sideL = 'L'
 * 
 */
  __pyx_v_sideR = __pyx_k_R;

  /* "scipy/linalg/_decomp_update.pyx":1053
 *     cdef int limit = min(m-1, n)
 *     cdef char* sideR = 'R'
 *     cdef char* sideL = 'L'             # <<<<<<<<<<<<<<
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 */
  __pyx_v_sideL = __pyx_k_L;

  /* "scipy/linalg/_decomp_update.pyx":1056
 * 
 *     # R now has p subdiagonal values to be removed starting from col k.
 *     for j in range(k, limit):             # <<<<<<<<<<<<<<
 *         # length of the reflector
 *         last = min(p+1, o-j)
 */
  __pyx_t_1 = __pyx_v_limit;
  for (__pyx_t_4 = __pyx_v_k; __pyx_t_4 < __pyx_t_1; __pyx_t_4+=1) {
    __pyx_v_j = __pyx_t_4;

    /* "scipy/linalg/_decomp_update.pyx":1058
 *     for j in range(k, limit):
 *         # length of the reflector
 *         last = min(p+1, o-j)             # <<<<<<<<<<<<<<
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 */
    __pyx_t_5 = (__pyx_v_o - __pyx_v_j);
    __pyx_t_3 = (__pyx_v_p + 1);
    if (((__pyx_t_5 < __pyx_t_3) != 0)) {
      __pyx_t_2 = __pyx_t_5;
    } else {
      __pyx_t_2 = __pyx_t_3;
    }
    __pyx_v_last = __pyx_t_2;

    /* "scipy/linalg/_decomp_update.pyx":1059
 *         # length of the reflector
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]             # <<<<<<<<<<<<<<
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1
 */
    __pyx_v_rjj = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]);

    /* "scipy/linalg/_decomp_update.pyx":1060
 *         last = min(p+1, o-j)
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)             # <<<<<<<<<<<<<<
 *         index2(r, rs, j, j)[0] = 1
 * 
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larfg(__pyx_v_last, (&__pyx_v_rjj), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, (__pyx_v_j + 1), __pyx_v_j), (__pyx_v_rs[0]), (&__pyx_v_tau));

    /* "scipy/linalg/_decomp_update.pyx":1061
 *         rjj = index2(r, rs, j, j)[0]
 *         larfg(last, &rjj, index2(r, rs, j+1, j), rs[0], &tau)
 *         index2(r, rs, j, j)[0] = 1             # <<<<<<<<<<<<<<
 * 
 *         # apply the reflector to r if necessary
 */
    (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j)[0]) = __pyx_t_double_complex_from_parts(1, 0);

    /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    __pyx_t_6 = (((__pyx_v_j + 1) < __pyx_v_n) != 0);
    if (__pyx_t_6) {

      /* "scipy/linalg/_decomp_update.pyx":1065
 *         # apply the reflector to r if necessary
 *         if j+1 < n:
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],             # <<<<<<<<<<<<<<
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 * 
 */
      __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_larf(__pyx_v_sideL, __pyx_v_last, ((__pyx_v_n - __pyx_v_j) - 1), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, __pyx_v_j), (__pyx_v_rs[0]), __Pyx_c_conj(__pyx_v_tau), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_index2(__pyx_v_r, __pyx_v_rs, __pyx_v_j, (__pyx_v_j + 1)), (__pyx_v_rs[1]), __pyx_v_work);

      /* "scipy/linalg/_decomp_update.pyx":1064
 * 
 *         # apply the reflector to r if necessary
 *         if j+1 < n:             # <<<<<<<<<<<<<<
 *             larf(sideL, last, n-j-1, index2(r, rs, j, j), rs[0],
 *                     tau.conjugate(), index2(r, rs, j, j+1), rs[1], work)
 */
    }

    /* "scipy/linalg/_decomp_update.pyx":1069
 * 
 *         # apply the reflector to q
 *         larf(sideR, m, last, index2(r, rs, j, j), rs[0], tau,             # <<<<<<<<<<<<<<
 *                 index2(q, qs, 0, j), qs[1], work)
 * 
 */
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    /* "scipy/linalg/_decomp_update.pyx":1139
 *                       us, <float_complex*>sp, <float_complex*>&rc_f)
 *         return u, s[:n+1], rc_f, info
 *     if typecode == cnp.NPY_CDOUBLE:             # <<<<<<<<<<<<<<
 *         rc_d = rcond
 *         info = reorth(m, n, <double_complex*>qp, qs, qisF, <double_complex*>up,
 */
  }

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 *         index2(r, rs, j, j)[0] = rjj
 * 
 * def _reorth(cnp.ndarray q, cnp.ndarray u, rcond):             # <<<<<<<<<<<<<<
 *     cdef cnp.ndarray s
 *     cdef double rc_d
 */

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/* "scipy/linalg/_decomp_update.pyx":1145
 *         return u, s[:n+1], rc_d, info
 * 
 * cdef int reorth(int m, int n, blas_t* q, int* qs, bint qisF, blas_t* u,             # <<<<<<<<<<<<<<
 *                 int* us, blas_t* s, blas_t* RCOND) nogil:
 *     """Given a (m,n) matrix q with orthonormal columns and a (m,) vector u,
 */

static int __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int __pyx_v_m, int __pyx_v_n, float *__pyx_v_q, CYTHON_UNUSED int *__pyx_v_qs, int __pyx_v_qisF, float *__pyx_v_u, int *__pyx_v_us, float *__pyx_v_s, float *__pyx_v_RCOND) {
  float __pyx_v_unorm;
  float __pyx_v_snorm;
  float __pyx_v_wnorm;
  float __pyx_v_wpnorm;
  float __pyx_v_sigma_max;
  float __pyx_v_sigma_min;
  float __pyx_v_rc;
  char *__pyx_v_T;
  char *__pyx_v_N;
  CYTHON_UNUSED char *__pyx_v_C;
  CYTHON_UNUSED int __pyx_v_ss;
  float __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  int __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":1162
 *     """
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":1163
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
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  /* "scipy/linalg/_decomp_update.pyx":1164
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
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  /* "scipy/linalg/_decomp_update.pyx":1165
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":1166
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # normalize u
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1166; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = ((float)(1.0 / __pyx_t_1));

  /* "scipy/linalg/_decomp_update.pyx":1169
 * 
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 *     scal(m, 1/unorm, u, us[0])
 * 
 */
  __pyx_v_unorm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1170
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])
 *     scal(m, 1/unorm, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # decompose u into q's columns.
 */
  if (unlikely(__pyx_v_unorm == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1170; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_unorm), __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1175
 *     if qisF:
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_m, __pyx_v_n, 1.0, __pyx_v_q, __pyx_v_m, __pyx_v_u, (__pyx_v_us[0]), 0.0, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":1179
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":1180
 *     else:
 *         if blas_t is float or blas_t is double:
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             blas_t_conj(m, u, us)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_n, __pyx_v_u, (__pyx_v_us[0]), 0.0, __pyx_v_s, 1);
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1188
 * 
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)             # <<<<<<<<<<<<<<
 *     sigma_max = blas_t_sqrt(1 + snorm)
 * 
 */
  __pyx_v_snorm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":1189
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)
 *     sigma_max = blas_t_sqrt(1 + snorm)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_v_sigma_max = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt((1.0 + __pyx_v_snorm));

  /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1194
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, __pyx_v_m, __pyx_v_s, 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
    goto __pyx_L4;
  }

  /* "scipy/linalg/_decomp_update.pyx":1196
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, us[0])
 * 
 */
  /*else*/ {
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));
  }
  __pyx_L4:;

  /* "scipy/linalg/_decomp_update.pyx":1197
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 *     wnorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 */
  __pyx_v_wnorm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1201
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max             # <<<<<<<<<<<<<<
 *     rc = sigma_min / sigma_max
 * 
 */
  if (unlikely(__pyx_v_sigma_max == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_sigma_min = (__pyx_v_wnorm / __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1202
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max
 *     rc = sigma_min / sigma_max             # <<<<<<<<<<<<<<
 * 
 *     # check the conditioning of the problem.
 */
  if (unlikely(__pyx_v_sigma_max == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_rc = (__pyx_v_sigma_min / __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  __pyx_t_2 = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_rc, (__pyx_v_RCOND[0])) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1206
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc             # <<<<<<<<<<<<<<
 *         return 2
 *     RCOND[0] = rc
 */
    (__pyx_v_RCOND[0]) = __pyx_v_rc;

    /* "scipy/linalg/_decomp_update.pyx":1207
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc
 *         return 2             # <<<<<<<<<<<<<<
 *     RCOND[0] = rc
 * 
 */
    __pyx_r = 2;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1208
 *         RCOND[0] = rc
 *         return 2
 *     RCOND[0] = rc             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  (__pyx_v_RCOND[0]) = __pyx_v_rc;

  /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  __pyx_t_2 = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1211
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])             # <<<<<<<<<<<<<<
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 */
    if (unlikely(__pyx_v_wnorm == 0)) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1211; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wnorm), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1212
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *         s[n] = unorm*wnorm
 *         return 0
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1213
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm             # <<<<<<<<<<<<<<
 *         return 0
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = (__pyx_v_unorm * __pyx_v_wnorm);

    /* "scipy/linalg/_decomp_update.pyx":1214
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     # if we get here, u does not yet contain the orthogonal vector we are
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1219
 *     # looking for. According to Reichel, one reorthogonalization will always
 *     # be enough.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1221
 *     if qisF:
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_m, __pyx_v_n, 1.0, __pyx_v_q, __pyx_v_m, __pyx_v_u, (__pyx_v_us[0]), 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1224
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 *         gemv(N, m, n, -1, q, m, s+n, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, __pyx_v_m, (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1219
 *     # looking for. According to Reichel, one reorthogonalization will always
 *     # be enough.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
    goto __pyx_L7;
  }

  /* "scipy/linalg/_decomp_update.pyx":1226
 *         gemv(N, m, n, -1, q, m, s+n, 1, 1, u, us[0])
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":1227
 *     else:
 *         if blas_t is float or blas_t is double:
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             blas_t_conj(m, u, us)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_n, __pyx_v_u, (__pyx_v_us[0]), 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1233
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     wpnorm = nrm2(m, u, us[0])
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));
  }
  __pyx_L7:;

  /* "scipy/linalg/_decomp_update.pyx":1235
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])
 * 
 *     wpnorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 */
  __pyx_v_wpnorm = __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1237
 *     wpnorm = nrm2(m, u, us[0])
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  __pyx_t_2 = (__pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_wpnorm, (__pyx_v_wnorm * __pyx_v_inv_root2)) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1238
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, us[0])             # <<<<<<<<<<<<<<
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, 0.0, __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1239
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *         scal(n, unorm, s, 1)
 *         s[n] = 0
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1240
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *         s[n] = 0
 *         return 1
 */
    __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1241
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)
 *         s[n] = 0             # <<<<<<<<<<<<<<
 *         return 1
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = 0.0;

    /* "scipy/linalg/_decomp_update.pyx":1242
 *         scal(n, unorm, s, 1)
 *         s[n] = 0
 *         return 1             # <<<<<<<<<<<<<<
 * 
 *     scal(m, 1/wpnorm, u, us[0])
 */
    __pyx_r = 1;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1237
 *     wpnorm = nrm2(m, u, us[0])
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1244
 *         return 1
 * 
 *     scal(m, 1/wpnorm, u, us[0])             # <<<<<<<<<<<<<<
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)
 */
  if (unlikely(__pyx_v_wpnorm == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1244; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wpnorm), __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1245
 * 
 *     scal(m, 1/wpnorm, u, us[0])
 *     axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

  /* "scipy/linalg/_decomp_update.pyx":1246
 *     scal(m, 1/wpnorm, u, us[0])
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *     s[n] = wpnorm*unorm
 *     return 0
 */
  __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":1247
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  (__pyx_v_s[__pyx_v_n]) = (__pyx_v_wpnorm * __pyx_v_unorm);

  /* "scipy/linalg/_decomp_update.pyx":1248
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * def _form_qTu(object a, object b):
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":1145
 *         return u, s[:n+1], rc_d, info
 * 
 * cdef int reorth(int m, int n, blas_t* q, int* qs, bint qisF, blas_t* u,             # <<<<<<<<<<<<<<
 *                 int* us, blas_t* s, blas_t* RCOND) nogil:
 *     """Given a (m,n) matrix q with orthonormal columns and a (m,) vector u,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.linalg._decomp_update.reorth", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int __pyx_v_m, int __pyx_v_n, double *__pyx_v_q, CYTHON_UNUSED int *__pyx_v_qs, int __pyx_v_qisF, double *__pyx_v_u, int *__pyx_v_us, double *__pyx_v_s, double *__pyx_v_RCOND) {
  double __pyx_v_unorm;
  double __pyx_v_snorm;
  double __pyx_v_wnorm;
  double __pyx_v_wpnorm;
  double __pyx_v_sigma_max;
  double __pyx_v_sigma_min;
  double __pyx_v_rc;
  char *__pyx_v_T;
  char *__pyx_v_N;
  CYTHON_UNUSED char *__pyx_v_C;
  CYTHON_UNUSED int __pyx_v_ss;
  double __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  int __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":1162
 *     """
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":1163
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":1164
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":1165
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":1166
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # normalize u
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1166; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = ((double)(1.0 / __pyx_t_1));

  /* "scipy/linalg/_decomp_update.pyx":1169
 * 
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 *     scal(m, 1/unorm, u, us[0])
 * 
 */
  __pyx_v_unorm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1170
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])
 *     scal(m, 1/unorm, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # decompose u into q's columns.
 */
  if (unlikely(__pyx_v_unorm == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1170; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_unorm), __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1175
 *     if qisF:
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_m, __pyx_v_n, 1.0, __pyx_v_q, __pyx_v_m, __pyx_v_u, (__pyx_v_us[0]), 0.0, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":1179
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":1180
 *     else:
 *         if blas_t is float or blas_t is double:
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             blas_t_conj(m, u, us)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_n, __pyx_v_u, (__pyx_v_us[0]), 0.0, __pyx_v_s, 1);
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1188
 * 
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)             # <<<<<<<<<<<<<<
 *     sigma_max = blas_t_sqrt(1 + snorm)
 * 
 */
  __pyx_v_snorm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":1189
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)
 *     sigma_max = blas_t_sqrt(1 + snorm)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_v_sigma_max = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt((1.0 + __pyx_v_snorm));

  /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1194
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, __pyx_v_m, __pyx_v_s, 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
    goto __pyx_L4;
  }

  /* "scipy/linalg/_decomp_update.pyx":1196
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, us[0])
 * 
 */
  /*else*/ {
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));
  }
  __pyx_L4:;

  /* "scipy/linalg/_decomp_update.pyx":1197
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 *     wnorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 */
  __pyx_v_wnorm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1201
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max             # <<<<<<<<<<<<<<
 *     rc = sigma_min / sigma_max
 * 
 */
  if (unlikely(__pyx_v_sigma_max == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_sigma_min = (__pyx_v_wnorm / __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1202
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max
 *     rc = sigma_min / sigma_max             # <<<<<<<<<<<<<<
 * 
 *     # check the conditioning of the problem.
 */
  if (unlikely(__pyx_v_sigma_max == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_rc = (__pyx_v_sigma_min / __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  __pyx_t_2 = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_rc, (__pyx_v_RCOND[0])) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1206
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc             # <<<<<<<<<<<<<<
 *         return 2
 *     RCOND[0] = rc
 */
    (__pyx_v_RCOND[0]) = __pyx_v_rc;

    /* "scipy/linalg/_decomp_update.pyx":1207
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc
 *         return 2             # <<<<<<<<<<<<<<
 *     RCOND[0] = rc
 * 
 */
    __pyx_r = 2;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1208
 *         RCOND[0] = rc
 *         return 2
 *     RCOND[0] = rc             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  (__pyx_v_RCOND[0]) = __pyx_v_rc;

  /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  __pyx_t_2 = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1211
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])             # <<<<<<<<<<<<<<
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 */
    if (unlikely(__pyx_v_wnorm == 0)) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1211; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wnorm), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1212
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *         s[n] = unorm*wnorm
 *         return 0
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1213
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm             # <<<<<<<<<<<<<<
 *         return 0
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = (__pyx_v_unorm * __pyx_v_wnorm);

    /* "scipy/linalg/_decomp_update.pyx":1214
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     # if we get here, u does not yet contain the orthogonal vector we are
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1219
 *     # looking for. According to Reichel, one reorthogonalization will always
 *     # be enough.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
  __pyx_t_2 = (__pyx_v_qisF != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1221
 *     if qisF:
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_m, __pyx_v_n, 1.0, __pyx_v_q, __pyx_v_m, __pyx_v_u, (__pyx_v_us[0]), 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1224
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 *         gemv(N, m, n, -1, q, m, s+n, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, -1.0, __pyx_v_q, __pyx_v_m, (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1219
 *     # looking for. According to Reichel, one reorthogonalization will always
 *     # be enough.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
    goto __pyx_L7;
  }

  /* "scipy/linalg/_decomp_update.pyx":1226
 *         gemv(N, m, n, -1, q, m, s+n, 1, 1, u, us[0])
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":1227
 *     else:
 *         if blas_t is float or blas_t is double:
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         else:
 *             blas_t_conj(m, u, us)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, 1.0, __pyx_v_q, __pyx_v_n, __pyx_v_u, (__pyx_v_us[0]), 0.0, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1233
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     wpnorm = nrm2(m, u, us[0])
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, -1.0, __pyx_v_q, __pyx_v_n, (__pyx_v_s + __pyx_v_n), 1, 1.0, __pyx_v_u, (__pyx_v_us[0]));
  }
  __pyx_L7:;

  /* "scipy/linalg/_decomp_update.pyx":1235
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])
 * 
 *     wpnorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 */
  __pyx_v_wpnorm = __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1237
 *     wpnorm = nrm2(m, u, us[0])
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  __pyx_t_2 = (__pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_wpnorm, (__pyx_v_wnorm * __pyx_v_inv_root2)) != 0);
  if (__pyx_t_2) {

    /* "scipy/linalg/_decomp_update.pyx":1238
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, us[0])             # <<<<<<<<<<<<<<
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, 0.0, __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1239
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *         scal(n, unorm, s, 1)
 *         s[n] = 0
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1240
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *         s[n] = 0
 *         return 1
 */
    __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1241
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)
 *         s[n] = 0             # <<<<<<<<<<<<<<
 *         return 1
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = 0.0;

    /* "scipy/linalg/_decomp_update.pyx":1242
 *         scal(n, unorm, s, 1)
 *         s[n] = 0
 *         return 1             # <<<<<<<<<<<<<<
 * 
 *     scal(m, 1/wpnorm, u, us[0])
 */
    __pyx_r = 1;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1237
 *     wpnorm = nrm2(m, u, us[0])
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1244
 *         return 1
 * 
 *     scal(m, 1/wpnorm, u, us[0])             # <<<<<<<<<<<<<<
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)
 */
  if (unlikely(__pyx_v_wpnorm == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1244; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, (1.0 / __pyx_v_wpnorm), __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1245
 * 
 *     scal(m, 1/wpnorm, u, us[0])
 *     axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, 1.0, __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

  /* "scipy/linalg/_decomp_update.pyx":1246
 *     scal(m, 1/wpnorm, u, us[0])
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *     s[n] = wpnorm*unorm
 *     return 0
 */
  __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":1247
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  (__pyx_v_s[__pyx_v_n]) = (__pyx_v_wpnorm * __pyx_v_unorm);

  /* "scipy/linalg/_decomp_update.pyx":1248
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * def _form_qTu(object a, object b):
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":1145
 *         return u, s[:n+1], rc_d, info
 * 
 * cdef int reorth(int m, int n, blas_t* q, int* qs, bint qisF, blas_t* u,             # <<<<<<<<<<<<<<
 *                 int* us, blas_t* s, blas_t* RCOND) nogil:
 *     """Given a (m,n) matrix q with orthonormal columns and a (m,) vector u,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.linalg._decomp_update.reorth", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int __pyx_v_m, int __pyx_v_n, __pyx_t_float_complex *__pyx_v_q, CYTHON_UNUSED int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_float_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_float_complex *__pyx_v_s, __pyx_t_float_complex *__pyx_v_RCOND) {
  __pyx_t_float_complex __pyx_v_unorm;
  __pyx_t_float_complex __pyx_v_snorm;
  __pyx_t_float_complex __pyx_v_wnorm;
  __pyx_t_float_complex __pyx_v_wpnorm;
  __pyx_t_float_complex __pyx_v_sigma_max;
  __pyx_t_float_complex __pyx_v_sigma_min;
  __pyx_t_float_complex __pyx_v_rc;
  char *__pyx_v_T;
  char *__pyx_v_N;
  char *__pyx_v_C;
  int __pyx_v_ss;
  __pyx_t_float_complex __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  __pyx_t_float_complex __pyx_t_2;
  int __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":1162
 *     """
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":1163
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":1164
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":1165
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":1166
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # normalize u
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1166; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = __pyx_t_float_complex_from_parts(((float)(1.0 / __pyx_t_1)), 0);

  /* "scipy/linalg/_decomp_update.pyx":1169
 * 
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 *     scal(m, 1/unorm, u, us[0])
 * 
 */
  __pyx_v_unorm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1170
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])
 *     scal(m, 1/unorm, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # decompose u into q's columns.
 */
  __pyx_t_2 = __pyx_t_float_complex_from_parts(1, 0);
  if (unlikely(__Pyx_c_is_zerof(__pyx_v_unorm))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1170; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quotf(__pyx_t_2, __pyx_v_unorm), __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
  __pyx_t_3 = (__pyx_v_qisF != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1177
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_C, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_m, __pyx_v_u, (__pyx_v_us[0]), __pyx_t_float_complex_from_parts(0, 0), __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":1179
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":1182
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *         else:
 *             blas_t_conj(m, u, us)             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *             blas_t_conj(m, u, us)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, __pyx_v_us);

    /* "scipy/linalg/_decomp_update.pyx":1183
 *         else:
 *             blas_t_conj(m, u, us)
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s, &ss)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_n, __pyx_v_u, (__pyx_v_us[0]), __pyx_t_float_complex_from_parts(0, 0), __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1184
 *             blas_t_conj(m, u, us)
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *             blas_t_conj(m, u, us)             # <<<<<<<<<<<<<<
 *             blas_t_conj(n, s, &ss)
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, __pyx_v_us);

    /* "scipy/linalg/_decomp_update.pyx":1185
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s, &ss)             # <<<<<<<<<<<<<<
 * 
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_s, (&__pyx_v_ss));
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1188
 * 
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)             # <<<<<<<<<<<<<<
 *     sigma_max = blas_t_sqrt(1 + snorm)
 * 
 */
  __pyx_v_snorm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":1189
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)
 *     sigma_max = blas_t_sqrt(1 + snorm)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_v_sigma_max = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(__Pyx_c_sumf(__pyx_t_float_complex_from_parts(1, 0), __pyx_v_snorm));

  /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
  __pyx_t_3 = (__pyx_v_qisF != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1194
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_m, __pyx_v_s, 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
    goto __pyx_L4;
  }

  /* "scipy/linalg/_decomp_update.pyx":1196
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, us[0])
 * 
 */
  /*else*/ {
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, (__pyx_v_us[0]));
  }
  __pyx_L4:;

  /* "scipy/linalg/_decomp_update.pyx":1197
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 *     wnorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 */
  __pyx_v_wnorm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1201
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max             # <<<<<<<<<<<<<<
 *     rc = sigma_min / sigma_max
 * 
 */
  if (unlikely(__Pyx_c_is_zerof(__pyx_v_sigma_max))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_sigma_min = __Pyx_c_quotf(__pyx_v_wnorm, __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1202
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max
 *     rc = sigma_min / sigma_max             # <<<<<<<<<<<<<<
 * 
 *     # check the conditioning of the problem.
 */
  if (unlikely(__Pyx_c_is_zerof(__pyx_v_sigma_max))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_rc = __Pyx_c_quotf(__pyx_v_sigma_min, __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  __pyx_t_3 = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_rc, (__pyx_v_RCOND[0])) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1206
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc             # <<<<<<<<<<<<<<
 *         return 2
 *     RCOND[0] = rc
 */
    (__pyx_v_RCOND[0]) = __pyx_v_rc;

    /* "scipy/linalg/_decomp_update.pyx":1207
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc
 *         return 2             # <<<<<<<<<<<<<<
 *     RCOND[0] = rc
 * 
 */
    __pyx_r = 2;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1208
 *         RCOND[0] = rc
 *         return 2
 *     RCOND[0] = rc             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  (__pyx_v_RCOND[0]) = __pyx_v_rc;

  /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  __pyx_t_3 = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1211
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])             # <<<<<<<<<<<<<<
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 */
    __pyx_t_2 = __pyx_t_float_complex_from_parts(1, 0);
    if (unlikely(__Pyx_c_is_zerof(__pyx_v_wnorm))) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1211; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quotf(__pyx_t_2, __pyx_v_wnorm), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1212
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *         s[n] = unorm*wnorm
 *         return 0
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1213
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm             # <<<<<<<<<<<<<<
 *         return 0
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __Pyx_c_prodf(__pyx_v_unorm, __pyx_v_wnorm);

    /* "scipy/linalg/_decomp_update.pyx":1214
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     # if we get here, u does not yet contain the orthogonal vector we are
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1219
 *     # looking for. According to Reichel, one reorthogonalization will always
 *     # be enough.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
  __pyx_t_3 = (__pyx_v_qisF != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1223
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s+n, 1)             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s+n, 1, 1, u, us[0])
 *     else:
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_C, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_m, __pyx_v_u, (__pyx_v_us[0]), __pyx_t_float_complex_from_parts(0, 0), (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1224
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 *         gemv(N, m, n, -1, q, m, s+n, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_m, (__pyx_v_s + __pyx_v_n), 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1219
 *     # looking for. According to Reichel, one reorthogonalization will always
 *     # be enough.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
    goto __pyx_L7;
  }

  /* "scipy/linalg/_decomp_update.pyx":1226
 *         gemv(N, m, n, -1, q, m, s+n, 1, 1, u, us[0])
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":1229
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)
 *         else:
 *             blas_t_conj(m, u, us)             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)
 *             blas_t_conj(m, u, us)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, __pyx_v_us);

    /* "scipy/linalg/_decomp_update.pyx":1230
 *         else:
 *             blas_t_conj(m, u, us)
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s+n, &ss)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_n, __pyx_v_u, (__pyx_v_us[0]), __pyx_t_float_complex_from_parts(0, 0), (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1231
 *             blas_t_conj(m, u, us)
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)
 *             blas_t_conj(m, u, us)             # <<<<<<<<<<<<<<
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, __pyx_v_us);

    /* "scipy/linalg/_decomp_update.pyx":1232
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s+n, 1)
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s+n, &ss)             # <<<<<<<<<<<<<<
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])
 * 
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, (__pyx_v_s + __pyx_v_n), (&__pyx_v_ss));

    /* "scipy/linalg/_decomp_update.pyx":1233
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s+n, &ss)
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     wpnorm = nrm2(m, u, us[0])
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, __pyx_t_float_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_n, (__pyx_v_s + __pyx_v_n), 1, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_u, (__pyx_v_us[0]));
  }
  __pyx_L7:;

  /* "scipy/linalg/_decomp_update.pyx":1235
 *         gemv(T, n, m, -1, q, n, s+n, 1, 1, u, us[0])
 * 
 *     wpnorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 */
  __pyx_v_wpnorm = __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1237
 *     wpnorm = nrm2(m, u, us[0])
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  __pyx_t_3 = (__pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_wpnorm, __Pyx_c_prodf(__pyx_v_wnorm, __pyx_v_inv_root2)) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1238
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, us[0])             # <<<<<<<<<<<<<<
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __pyx_t_float_complex_from_parts(0, 0), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1239
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *         scal(n, unorm, s, 1)
 *         s[n] = 0
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

    /* "scipy/linalg/_decomp_update.pyx":1240
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *         s[n] = 0
 *         return 1
 */
    __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1241
 *         axpy(n, 1, s, 1, s+n, 1)
 *         scal(n, unorm, s, 1)
 *         s[n] = 0             # <<<<<<<<<<<<<<
 *         return 1
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __pyx_t_float_complex_from_parts(0, 0);

    /* "scipy/linalg/_decomp_update.pyx":1242
 *         scal(n, unorm, s, 1)
 *         s[n] = 0
 *         return 1             # <<<<<<<<<<<<<<
 * 
 *     scal(m, 1/wpnorm, u, us[0])
 */
    __pyx_r = 1;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1237
 *     wpnorm = nrm2(m, u, us[0])
 * 
 *     if blas_t_less_than(wpnorm, wnorm*inv_root2): # u lies in span(q)             # <<<<<<<<<<<<<<
 *         scal(m, 0, u, us[0])
 *         axpy(n, 1, s, 1, s+n, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1244
 *         return 1
 * 
 *     scal(m, 1/wpnorm, u, us[0])             # <<<<<<<<<<<<<<
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)
 */
  __pyx_t_2 = __pyx_t_float_complex_from_parts(1, 0);
  if (unlikely(__Pyx_c_is_zerof(__pyx_v_wpnorm))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1244; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quotf(__pyx_t_2, __pyx_v_wpnorm), __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1245
 * 
 *     scal(m, 1/wpnorm, u, us[0])
 *     axpy(n, 1, s, 1, s+n, 1)             # <<<<<<<<<<<<<<
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_axpy(__pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), __pyx_v_s, 1, (__pyx_v_s + __pyx_v_n), 1);

  /* "scipy/linalg/_decomp_update.pyx":1246
 *     scal(m, 1/wpnorm, u, us[0])
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *     s[n] = wpnorm*unorm
 *     return 0
 */
  __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":1247
 *     axpy(n, 1, s, 1, s+n, 1)
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm             # <<<<<<<<<<<<<<
 *     return 0
 * 
 */
  (__pyx_v_s[__pyx_v_n]) = __Pyx_c_prodf(__pyx_v_wpnorm, __pyx_v_unorm);

  /* "scipy/linalg/_decomp_update.pyx":1248
 *     scal(n, unorm, s, 1)
 *     s[n] = wpnorm*unorm
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * def _form_qTu(object a, object b):
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "scipy/linalg/_decomp_update.pyx":1145
 *         return u, s[:n+1], rc_d, info
 * 
 * cdef int reorth(int m, int n, blas_t* q, int* qs, bint qisF, blas_t* u,             # <<<<<<<<<<<<<<
 *                 int* us, blas_t* s, blas_t* RCOND) nogil:
 *     """Given a (m,n) matrix q with orthonormal columns and a (m,) vector u,
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.linalg._decomp_update.reorth", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

static int __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_reorth(int __pyx_v_m, int __pyx_v_n, __pyx_t_double_complex *__pyx_v_q, CYTHON_UNUSED int *__pyx_v_qs, int __pyx_v_qisF, __pyx_t_double_complex *__pyx_v_u, int *__pyx_v_us, __pyx_t_double_complex *__pyx_v_s, __pyx_t_double_complex *__pyx_v_RCOND) {
  __pyx_t_double_complex __pyx_v_unorm;
  __pyx_t_double_complex __pyx_v_snorm;
  __pyx_t_double_complex __pyx_v_wnorm;
  __pyx_t_double_complex __pyx_v_wpnorm;
  __pyx_t_double_complex __pyx_v_sigma_max;
  __pyx_t_double_complex __pyx_v_sigma_min;
  __pyx_t_double_complex __pyx_v_rc;
  char *__pyx_v_T;
  char *__pyx_v_N;
  char *__pyx_v_C;
  int __pyx_v_ss;
  __pyx_t_double_complex __pyx_v_inv_root2;
  int __pyx_r;
  double __pyx_t_1;
  __pyx_t_double_complex __pyx_t_2;
  int __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/linalg/_decomp_update.pyx":1162
 *     """
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'             # <<<<<<<<<<<<<<
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 */
  __pyx_v_T = __pyx_k_T;

  /* "scipy/linalg/_decomp_update.pyx":1163
 *     cdef blas_t unorm, snorm, wnorm, wpnorm, sigma_max, sigma_min, rc
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'             # <<<<<<<<<<<<<<
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 */
  __pyx_v_N = __pyx_k_N;

  /* "scipy/linalg/_decomp_update.pyx":1164
 *     cdef char* T = 'T'
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'             # <<<<<<<<<<<<<<
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 */
  __pyx_v_C = __pyx_k_C;

  /* "scipy/linalg/_decomp_update.pyx":1165
 *     cdef char* N = 'N'
 *     cdef char* C = 'C'
 *     cdef int ss = 1             # <<<<<<<<<<<<<<
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))
 * 
 */
  __pyx_v_ss = 1;

  /* "scipy/linalg/_decomp_update.pyx":1166
 *     cdef char* C = 'C'
 *     cdef int ss = 1
 *     cdef blas_t inv_root2 = <blas_t>(1.0/sqrt(2.0))             # <<<<<<<<<<<<<<
 * 
 *     # normalize u
 */
  __pyx_t_1 = sqrt(2.0);
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1166; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_inv_root2 = __pyx_t_double_complex_from_parts(((double)(1.0 / __pyx_t_1)), 0);

  /* "scipy/linalg/_decomp_update.pyx":1169
 * 
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 *     scal(m, 1/unorm, u, us[0])
 * 
 */
  __pyx_v_unorm = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1170
 *     # normalize u
 *     unorm = nrm2(m, u, us[0])
 *     scal(m, 1/unorm, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # decompose u into q's columns.
 */
  __pyx_t_2 = __pyx_t_double_complex_from_parts(1, 0);
  if (unlikely(__Pyx_c_is_zero(__pyx_v_unorm))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1170; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quot(__pyx_t_2, __pyx_v_unorm), __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
  __pyx_t_3 = (__pyx_v_qisF != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1177
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 *         else:
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *     else:
 *         if blas_t is float or blas_t is double:
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_C, __pyx_v_m, __pyx_v_n, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_m, __pyx_v_u, (__pyx_v_us[0]), __pyx_t_double_complex_from_parts(0, 0), __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1173
 * 
 *     # decompose u into q's columns.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s, 1)
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":1179
 *             gemv(C, m, n, 1, q, m, u, us[0], 0, s, 1)
 *     else:
 *         if blas_t is float or blas_t is double:             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *         else:
 */
  /*else*/ {

    /* "scipy/linalg/_decomp_update.pyx":1182
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *         else:
 *             blas_t_conj(m, u, us)             # <<<<<<<<<<<<<<
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *             blas_t_conj(m, u, us)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, __pyx_v_us);

    /* "scipy/linalg/_decomp_update.pyx":1183
 *         else:
 *             blas_t_conj(m, u, us)
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)             # <<<<<<<<<<<<<<
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s, &ss)
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_n, __pyx_v_m, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_q, __pyx_v_n, __pyx_v_u, (__pyx_v_us[0]), __pyx_t_double_complex_from_parts(0, 0), __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1184
 *             blas_t_conj(m, u, us)
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *             blas_t_conj(m, u, us)             # <<<<<<<<<<<<<<
 *             blas_t_conj(n, s, &ss)
 * 
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_v_u, __pyx_v_us);

    /* "scipy/linalg/_decomp_update.pyx":1185
 *             gemv(N, n, m, 1, q, n, u, us[0], 0, s, 1)
 *             blas_t_conj(m, u, us)
 *             blas_t_conj(n, s, &ss)             # <<<<<<<<<<<<<<
 * 
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_n, __pyx_v_s, (&__pyx_v_ss));
  }
  __pyx_L3:;

  /* "scipy/linalg/_decomp_update.pyx":1188
 * 
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)             # <<<<<<<<<<<<<<
 *     sigma_max = blas_t_sqrt(1 + snorm)
 * 
 */
  __pyx_v_snorm = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_n, __pyx_v_s, 1);

  /* "scipy/linalg/_decomp_update.pyx":1189
 *     # sigma_max is the largest singular value of q augmented with u/unorm
 *     snorm = nrm2(n, s, 1)
 *     sigma_max = blas_t_sqrt(1 + snorm)             # <<<<<<<<<<<<<<
 * 
 *     # make u be the part of u that is not in span(q)
 */
  __pyx_v_sigma_max = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_sqrt(__Pyx_c_sum(__pyx_t_double_complex_from_parts(1, 0), __pyx_v_snorm));

  /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
  __pyx_t_3 = (__pyx_v_qisF != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1194
 *     # i.e. u -= q.dot(s)
 *     if qisF:
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_double_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_m, __pyx_v_s, 1, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1193
 *     # make u be the part of u that is not in span(q)
 *     # i.e. u -= q.dot(s)
 *     if qisF:             # <<<<<<<<<<<<<<
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 */
    goto __pyx_L4;
  }

  /* "scipy/linalg/_decomp_update.pyx":1196
 *         gemv(N, m, n, -1, q, m, s, 1, 1, u, us[0])
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])             # <<<<<<<<<<<<<<
 *     wnorm = nrm2(m, u, us[0])
 * 
 */
  /*else*/ {
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_T, __pyx_v_n, __pyx_v_m, __pyx_t_double_complex_from_parts(-1L, 0), __pyx_v_q, __pyx_v_n, __pyx_v_s, 1, __pyx_t_double_complex_from_parts(1, 0), __pyx_v_u, (__pyx_v_us[0]));
  }
  __pyx_L4:;

  /* "scipy/linalg/_decomp_update.pyx":1197
 *     else:
 *         gemv(T, n, m, -1, q, n, s, 1, 1, u, us[0])
 *     wnorm = nrm2(m, u, us[0])             # <<<<<<<<<<<<<<
 * 
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 */
  __pyx_v_wnorm = __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_nrm2(__pyx_v_m, __pyx_v_u, (__pyx_v_us[0]));

  /* "scipy/linalg/_decomp_update.pyx":1201
 *     # sigma_min is the smallest singular value of q qugmented with u/unorm
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max             # <<<<<<<<<<<<<<
 *     rc = sigma_min / sigma_max
 * 
 */
  if (unlikely(__Pyx_c_is_zero(__pyx_v_sigma_max))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_sigma_min = __Pyx_c_quot(__pyx_v_wnorm, __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1202
 *     # the others are == 1, since q is orthonormal.
 *     sigma_min = wnorm / sigma_max
 *     rc = sigma_min / sigma_max             # <<<<<<<<<<<<<<
 * 
 *     # check the conditioning of the problem.
 */
  if (unlikely(__Pyx_c_is_zero(__pyx_v_sigma_max))) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_rc = __Pyx_c_quot(__pyx_v_sigma_min, __pyx_v_sigma_max);

  /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  __pyx_t_3 = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_rc, (__pyx_v_RCOND[0])) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1206
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc             # <<<<<<<<<<<<<<
 *         return 2
 *     RCOND[0] = rc
 */
    (__pyx_v_RCOND[0]) = __pyx_v_rc;

    /* "scipy/linalg/_decomp_update.pyx":1207
 *     if blas_t_less_than(rc, RCOND[0]):
 *         RCOND[0] = rc
 *         return 2             # <<<<<<<<<<<<<<
 *     RCOND[0] = rc
 * 
 */
    __pyx_r = 2;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1205
 * 
 *     # check the conditioning of the problem.
 *     if blas_t_less_than(rc, RCOND[0]):             # <<<<<<<<<<<<<<
 *         RCOND[0] = rc
 *         return 2
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1208
 *         RCOND[0] = rc
 *         return 2
 *     RCOND[0] = rc             # <<<<<<<<<<<<<<
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 */
  (__pyx_v_RCOND[0]) = __pyx_v_rc;

  /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  __pyx_t_3 = (__pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_less_than(__pyx_v_inv_root2, __pyx_v_wnorm) != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1211
 * 
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])             # <<<<<<<<<<<<<<
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 */
    __pyx_t_2 = __pyx_t_double_complex_from_parts(1, 0);
    if (unlikely(__Pyx_c_is_zero(__pyx_v_wnorm))) {
      #ifdef WITH_THREAD
      PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
      #endif
      PyErr_SetString(PyExc_ZeroDivisionError, "float division");
      #ifdef WITH_THREAD
      PyGILState_Release(__pyx_gilstate_save);
      #endif
      {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1211; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    }
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_m, __Pyx_c_quot(__pyx_t_2, __pyx_v_wnorm), __pyx_v_u, (__pyx_v_us[0]));

    /* "scipy/linalg/_decomp_update.pyx":1212
 *     if blas_t_less_than(inv_root2, wnorm):
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)             # <<<<<<<<<<<<<<
 *         s[n] = unorm*wnorm
 *         return 0
 */
    __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_scal(__pyx_v_n, __pyx_v_unorm, __pyx_v_s, 1);

    /* "scipy/linalg/_decomp_update.pyx":1213
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm             # <<<<<<<<<<<<<<
 *         return 0
 * 
 */
    (__pyx_v_s[__pyx_v_n]) = __Pyx_c_prod(__pyx_v_unorm, __pyx_v_wnorm);

    /* "scipy/linalg/_decomp_update.pyx":1214
 *         scal(n, unorm, s, 1)
 *         s[n] = unorm*wnorm
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     # if we get here, u does not yet contain the orthogonal vector we are
 */
    __pyx_r = 0;
    goto __pyx_L0;

    /* "scipy/linalg/_decomp_update.pyx":1210
 *     RCOND[0] = rc
 * 
 *     if blas_t_less_than(inv_root2, wnorm):             # <<<<<<<<<<<<<<
 *         scal(m, 1/wnorm, u, us[0])
 *         scal(n, unorm, s, 1)
 */
  }

  /* "scipy/linalg/_decomp_update.pyx":1219
 *     # looking for. According to Reichel, one reorthogonalization will always
 *     # be enough.
 *     if qisF:             # <<<<<<<<<<<<<<
 *         if blas_t is float or blas_t is double:
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 */
  __pyx_t_3 = (__pyx_v_qisF != 0);
  if (__pyx_t_3) {

    /* "scipy/linalg/_decomp_update.pyx":1223
 *             gemv(T, m, n, 1, q, m, u, us[0], 0, s+n, 1)
 *         else:
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 *             if typecode == cnp.NPY_CDOUBLE:             # <<<<<<<<<<<<<<
 *                 gemv(C, m, n, 1, <double_complex*>qvoid, m,
 *                         <double_complex*>uvoid, us[0], 0,
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1308
 *     if cnp.PyArray_CHKFLAGS(q, cnp.NPY_F_CONTIGUOUS):
 *         qvoid = extract(q, qs)
 *         if u.ndim == 1:             # <<<<<<<<<<<<<<
 *             uvoid = extract(u, us)
 *             if typecode == cnp.NPY_FLOAT:
 */
      break;

      /* "scipy/linalg/_decomp_update.pyx":1324
 *                         <double_complex*>uvoid, us[0], 0,
 *                         col(<double_complex*>qTuvoid, qTus, k), qTus[0])
 *         elif u.ndim == 2:             # <<<<<<<<<<<<<<
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 */
      case 2:

      /* "scipy/linalg/_decomp_update.pyx":1325
 *                         col(<double_complex*>qTuvoid, qTus, k), qTus[0])
 *         elif u.ndim == 2:
 *             p = u.shape[1]             # <<<<<<<<<<<<<<
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 *                 utrans = N
 */
      __pyx_v_p = (__pyx_v_u->dimensions[1]);

      /* "scipy/linalg/_decomp_update.pyx":1326
 *         elif u.ndim == 2:
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = N
 *                 uvoid = extract(u, us)
 */
      __pyx_t_1 = (PyArray_CHKFLAGS(__pyx_v_u, NPY_F_CONTIGUOUS) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1327
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 *                 utrans = N             # <<<<<<<<<<<<<<
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 */
        __pyx_v_utrans = __pyx_v_N;

        /* "scipy/linalg/_decomp_update.pyx":1328
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 *                 utrans = N
 *                 uvoid = extract(u, us)             # <<<<<<<<<<<<<<
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 */
        __pyx_v_uvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u, __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1329
 *                 utrans = N
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]             # <<<<<<<<<<<<<<
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 *                 utrans = T
 */
        __pyx_v_ldu = (__pyx_v_u->dimensions[0]);

        /* "scipy/linalg/_decomp_update.pyx":1326
 *         elif u.ndim == 2:
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = N
 *                 uvoid = extract(u, us)
 */
        goto __pyx_L8;
      }

      /* "scipy/linalg/_decomp_update.pyx":1330
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = T
 *                 uvoid = extract(u, us)
 */
      __pyx_t_1 = (PyArray_CHKFLAGS(__pyx_v_u, NPY_C_CONTIGUOUS) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1331
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 *                 utrans = T             # <<<<<<<<<<<<<<
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[1]
 */
        __pyx_v_utrans = __pyx_v_T;

        /* "scipy/linalg/_decomp_update.pyx":1332
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 *                 utrans = T
 *                 uvoid = extract(u, us)             # <<<<<<<<<<<<<<
 *                 ldu = u.shape[1]
 *             else:
 */
        __pyx_v_uvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u, __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1333
 *                 utrans = T
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[1]             # <<<<<<<<<<<<<<
 *             else:
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)
 */
        __pyx_v_ldu = (__pyx_v_u->dimensions[1]);

        /* "scipy/linalg/_decomp_update.pyx":1330
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = T
 *                 uvoid = extract(u, us)
 */
        goto __pyx_L8;
      }

      /* "scipy/linalg/_decomp_update.pyx":1335
 *                 ldu = u.shape[1]
 *             else:
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *                 utrans = N
 *                 uvoid = extract(u, us)
 */
      /*else*/ {
        __pyx_t_2 = ((PyObject *)PyArray_FromArray(__pyx_v_u, NULL, NPY_F_CONTIGUOUS)); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1335; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_2);
        __Pyx_DECREF_SET(__pyx_v_u, ((PyArrayObject *)__pyx_t_2));
        __pyx_t_2 = 0;

        /* "scipy/linalg/_decomp_update.pyx":1336
 *             else:
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)
 *                 utrans = N             # <<<<<<<<<<<<<<
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 */
        __pyx_v_utrans = __pyx_v_N;

        /* "scipy/linalg/_decomp_update.pyx":1337
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)
 *                 utrans = N
 *                 uvoid = extract(u, us)             # <<<<<<<<<<<<<<
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:
 */
        __pyx_v_uvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u, __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1338
 *                 utrans = N
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]             # <<<<<<<<<<<<<<
 *             if typecode == cnp.NPY_FLOAT:
 *                 gemm(T, utrans, m, p, m, 1, <float*>qvoid, m,
 */
        __pyx_v_ldu = (__pyx_v_u->dimensions[0]);
      }
      __pyx_L8:;

      /* "scipy/linalg/_decomp_update.pyx":1339
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                 gemm(T, utrans, m, p, m, 1, <float*>qvoid, m,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_FLOAT) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1340
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:
 *                 gemm(T, utrans, m, p, m, 1, <float*>qvoid, m,             # <<<<<<<<<<<<<<
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_DOUBLE:
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_T, __pyx_v_utrans, __pyx_v_m, __pyx_v_p, __pyx_v_m, 1.0, ((float *)__pyx_v_qvoid), __pyx_v_m, ((float *)__pyx_v_uvoid), __pyx_v_ldu, 0.0, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(((float *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_m);

        /* "scipy/linalg/_decomp_update.pyx":1339
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                 gemm(T, utrans, m, p, m, 1, <float*>qvoid, m,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1342
 *                 gemm(T, utrans, m, p, m, 1, <float*>qvoid, m,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                 gemm(T, utrans, m, p, m, 1, <double*>qvoid, m,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_DOUBLE) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1343
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_DOUBLE:
 *                 gemm(T, utrans, m, p, m, 1, <double*>qvoid, m,             # <<<<<<<<<<<<<<
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_CFLOAT:
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_T, __pyx_v_utrans, __pyx_v_m, __pyx_v_p, __pyx_v_m, 1.0, ((double *)__pyx_v_qvoid), __pyx_v_m, ((double *)__pyx_v_uvoid), __pyx_v_ldu, 0.0, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(((double *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_m);

        /* "scipy/linalg/_decomp_update.pyx":1342
 *                 gemm(T, utrans, m, p, m, 1, <float*>qvoid, m,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                 gemm(T, utrans, m, p, m, 1, <double*>qvoid, m,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1345
 *                 gemm(T, utrans, m, p, m, 1, <double*>qvoid, m,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                 gemm(C, utrans, m, p, m, 1, <float_complex*>qvoid, m,
 *                         <float_complex*>uvoid, ldu, 0,
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_CFLOAT) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1346
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_CFLOAT:
 *                 gemm(C, utrans, m, p, m, 1, <float_complex*>qvoid, m,             # <<<<<<<<<<<<<<
 *                         <float_complex*>uvoid, ldu, 0,
 *                         col(<float_complex*>qTuvoid, qTus, k), m)
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_C, __pyx_v_utrans, __pyx_v_m, __pyx_v_p, __pyx_v_m, __pyx_t_float_complex_from_parts(1, 0), ((__pyx_t_float_complex *)__pyx_v_qvoid), __pyx_v_m, ((__pyx_t_float_complex *)__pyx_v_uvoid), __pyx_v_ldu, __pyx_t_float_complex_from_parts(0, 0), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_float_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_m);

        /* "scipy/linalg/_decomp_update.pyx":1345
 *                 gemm(T, utrans, m, p, m, 1, <double*>qvoid, m,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                 gemm(C, utrans, m, p, m, 1, <float_complex*>qvoid, m,
 *                         <float_complex*>uvoid, ldu, 0,
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1349
 *                         <float_complex*>uvoid, ldu, 0,
 *                         col(<float_complex*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_CDOUBLE:             # <<<<<<<<<<<<<<
 *                 gemm(C, utrans, m, p, m, 1, <double_complex*>qvoid, m,
 *                         <double_complex*>uvoid, ldu, 0,
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_CDOUBLE) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1350
 *                         col(<float_complex*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_CDOUBLE:
 *                 gemm(C, utrans, m, p, m, 1, <double_complex*>qvoid, m,             # <<<<<<<<<<<<<<
 *                         <double_complex*>uvoid, ldu, 0,
 *                         col(<double_complex*>qTuvoid, qTus, k), m)
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_C, __pyx_v_utrans, __pyx_v_m, __pyx_v_p, __pyx_v_m, __pyx_t_double_complex_from_parts(1, 0), ((__pyx_t_double_complex *)__pyx_v_qvoid), __pyx_v_m, ((__pyx_t_double_complex *)__pyx_v_uvoid), __pyx_v_ldu, __pyx_t_double_complex_from_parts(0, 0), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_double_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_m);

        /* "scipy/linalg/_decomp_update.pyx":1349
 *                         <float_complex*>uvoid, ldu, 0,
 *                         col(<float_complex*>qTuvoid, qTus, k), m)
 *             if typecode == cnp.NPY_CDOUBLE:             # <<<<<<<<<<<<<<
 *                 gemm(C, utrans, m, p, m, 1, <double_complex*>qvoid, m,
 *                         <double_complex*>uvoid, ldu, 0,
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1324
 *                         <double_complex*>uvoid, us[0], 0,
 *                         col(<double_complex*>qTuvoid, qTus, k), qTus[0])
 *         elif u.ndim == 2:             # <<<<<<<<<<<<<<
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 */
      break;
      default: break;
    }

    /* "scipy/linalg/_decomp_update.pyx":1306
 *     cdef int ldu
 * 
 *     if cnp.PyArray_CHKFLAGS(q, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *         qvoid = extract(q, qs)
 *         if u.ndim == 1:
 */
    goto __pyx_L3;
  }

  /* "scipy/linalg/_decomp_update.pyx":1354
 *                         col(<double_complex*>qTuvoid, qTus, k), m)
 * 
 *     elif cnp.PyArray_CHKFLAGS(q, cnp.NPY_C_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *         qvoid = extract(q, qs)
 *         if u.ndim == 1:
 */
  __pyx_t_1 = (PyArray_CHKFLAGS(__pyx_v_q, NPY_C_CONTIGUOUS) != 0);
  if (__pyx_t_1) {

    /* "scipy/linalg/_decomp_update.pyx":1355
 * 
 *     elif cnp.PyArray_CHKFLAGS(q, cnp.NPY_C_CONTIGUOUS):
 *         qvoid = extract(q, qs)             # <<<<<<<<<<<<<<
 *         if u.ndim == 1:
 *             uvoid = extract(u, us)
 */
    __pyx_v_qvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_q, __pyx_v_qs);

    /* "scipy/linalg/_decomp_update.pyx":1356
 *     elif cnp.PyArray_CHKFLAGS(q, cnp.NPY_C_CONTIGUOUS):
 *         qvoid = extract(q, qs)
 *         if u.ndim == 1:             # <<<<<<<<<<<<<<
 *             uvoid = extract(u, us)
 *             if typecode == cnp.NPY_FLOAT:
 */
    switch (__pyx_v_u->nd) {
      case 1:

      /* "scipy/linalg/_decomp_update.pyx":1357
 *         qvoid = extract(q, qs)
 *         if u.ndim == 1:
 *             uvoid = extract(u, us)             # <<<<<<<<<<<<<<
 *             if typecode == cnp.NPY_FLOAT:
 *                 gemv(N, m, n, 1, <float*>qvoid, n,
 */
      __pyx_v_uvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u, __pyx_v_us);

      /* "scipy/linalg/_decomp_update.pyx":1358
 *         if u.ndim == 1:
 *             uvoid = extract(u, us)
 *             if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                 gemv(N, m, n, 1, <float*>qvoid, n,
 *                         <float*>uvoid, us[0], 0, col(<float*>qTuvoid, qTus, k), qTus[0])
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_FLOAT) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1359
 *             uvoid = extract(u, us)
 *             if typecode == cnp.NPY_FLOAT:
 *                 gemv(N, m, n, 1, <float*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <float*>uvoid, us[0], 0, col(<float*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_DOUBLE:
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, 1.0, ((float *)__pyx_v_qvoid), __pyx_v_n, ((float *)__pyx_v_uvoid), (__pyx_v_us[0]), 0.0, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(((float *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), (__pyx_v_qTus[0]));

        /* "scipy/linalg/_decomp_update.pyx":1358
 *         if u.ndim == 1:
 *             uvoid = extract(u, us)
 *             if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                 gemv(N, m, n, 1, <float*>qvoid, n,
 *                         <float*>uvoid, us[0], 0, col(<float*>qTuvoid, qTus, k), qTus[0])
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1361
 *                 gemv(N, m, n, 1, <float*>qvoid, n,
 *                         <float*>uvoid, us[0], 0, col(<float*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                 gemv(N, m, n, 1, <double*>qvoid, n,
 *                         <double*>uvoid, us[0], 0, col(<double*>qTuvoid, qTus, k), qTus[0])
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_DOUBLE) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1362
 *                         <float*>uvoid, us[0], 0, col(<float*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_DOUBLE:
 *                 gemv(N, m, n, 1, <double*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <double*>uvoid, us[0], 0, col(<double*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_CFLOAT:
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, 1.0, ((double *)__pyx_v_qvoid), __pyx_v_n, ((double *)__pyx_v_uvoid), (__pyx_v_us[0]), 0.0, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(((double *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), (__pyx_v_qTus[0]));

        /* "scipy/linalg/_decomp_update.pyx":1361
 *                 gemv(N, m, n, 1, <float*>qvoid, n,
 *                         <float*>uvoid, us[0], 0, col(<float*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                 gemv(N, m, n, 1, <double*>qvoid, n,
 *                         <double*>uvoid, us[0], 0, col(<double*>qTuvoid, qTus, k), qTus[0])
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1364
 *                 gemv(N, m, n, 1, <double*>qvoid, n,
 *                         <double*>uvoid, us[0], 0, col(<double*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                 blas_t_conj(m, <float_complex*>uvoid, us)
 *                 gemv(N, m, n, 1, <float_complex*>qvoid, n,
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_CFLOAT) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1365
 *                         <double*>uvoid, us[0], 0, col(<double*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_CFLOAT:
 *                 blas_t_conj(m, <float_complex*>uvoid, us)             # <<<<<<<<<<<<<<
 *                 gemv(N, m, n, 1, <float_complex*>qvoid, n,
 *                         <float_complex*>uvoid, us[0], 0,
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, ((__pyx_t_float_complex *)__pyx_v_uvoid), __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1366
 *             if typecode == cnp.NPY_CFLOAT:
 *                 blas_t_conj(m, <float_complex*>uvoid, us)
 *                 gemv(N, m, n, 1, <float_complex*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <float_complex*>uvoid, us[0], 0,
 *                         col(<float_complex*>qTuvoid, qTus, k), qTus[0])
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_float_complex_from_parts(1, 0), ((__pyx_t_float_complex *)__pyx_v_qvoid), __pyx_v_n, ((__pyx_t_float_complex *)__pyx_v_uvoid), (__pyx_v_us[0]), __pyx_t_float_complex_from_parts(0, 0), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_float_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), (__pyx_v_qTus[0]));

        /* "scipy/linalg/_decomp_update.pyx":1369
 *                         <float_complex*>uvoid, us[0], 0,
 *                         col(<float_complex*>qTuvoid, qTus, k), qTus[0])
 *                 blas_t_conj(m, col(<float_complex*>qTuvoid, qTus, k), qTus)             # <<<<<<<<<<<<<<
 *             if typecode == cnp.NPY_CDOUBLE:
 *                 blas_t_conj(m, <double_complex*>uvoid, us)
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_float_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_qTus);

        /* "scipy/linalg/_decomp_update.pyx":1364
 *                 gemv(N, m, n, 1, <double*>qvoid, n,
 *                         <double*>uvoid, us[0], 0, col(<double*>qTuvoid, qTus, k), qTus[0])
 *             if typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                 blas_t_conj(m, <float_complex*>uvoid, us)
 *                 gemv(N, m, n, 1, <float_complex*>qvoid, n,
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1370
 *                         col(<float_complex*>qTuvoid, qTus, k), qTus[0])
 *                 blas_t_conj(m, col(<float_complex*>qTuvoid, qTus, k), qTus)
 *             if typecode == cnp.NPY_CDOUBLE:             # <<<<<<<<<<<<<<
 *                 blas_t_conj(m, <double_complex*>uvoid, us)
 *                 gemv(N, m, n, 1, <double_complex*>qvoid, n,
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_CDOUBLE) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1371
 *                 blas_t_conj(m, col(<float_complex*>qTuvoid, qTus, k), qTus)
 *             if typecode == cnp.NPY_CDOUBLE:
 *                 blas_t_conj(m, <double_complex*>uvoid, us)             # <<<<<<<<<<<<<<
 *                 gemv(N, m, n, 1, <double_complex*>qvoid, n,
 *                         <double_complex*>uvoid, us[0], 0,
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, ((__pyx_t_double_complex *)__pyx_v_uvoid), __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1372
 *             if typecode == cnp.NPY_CDOUBLE:
 *                 blas_t_conj(m, <double_complex*>uvoid, us)
 *                 gemv(N, m, n, 1, <double_complex*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <double_complex*>uvoid, us[0], 0,
 *                         col(<double_complex*>qTuvoid, qTus, k), qTus[0])
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_gemv(__pyx_v_N, __pyx_v_m, __pyx_v_n, __pyx_t_double_complex_from_parts(1, 0), ((__pyx_t_double_complex *)__pyx_v_qvoid), __pyx_v_n, ((__pyx_t_double_complex *)__pyx_v_uvoid), (__pyx_v_us[0]), __pyx_t_double_complex_from_parts(0, 0), __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_double_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), (__pyx_v_qTus[0]));

        /* "scipy/linalg/_decomp_update.pyx":1375
 *                         <double_complex*>uvoid, us[0], 0,
 *                         col(<double_complex*>qTuvoid, qTus, k), qTus[0])
 *                 blas_t_conj(m, col(<double_complex*>qTuvoid, qTus, k), qTus)             # <<<<<<<<<<<<<<
 *         elif u.ndim == 2:
 *             p = u.shape[1]
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_conj(__pyx_v_m, __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_double_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_qTus);

        /* "scipy/linalg/_decomp_update.pyx":1370
 *                         col(<float_complex*>qTuvoid, qTus, k), qTus[0])
 *                 blas_t_conj(m, col(<float_complex*>qTuvoid, qTus, k), qTus)
 *             if typecode == cnp.NPY_CDOUBLE:             # <<<<<<<<<<<<<<
 *                 blas_t_conj(m, <double_complex*>uvoid, us)
 *                 gemv(N, m, n, 1, <double_complex*>qvoid, n,
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":1356
 *     elif cnp.PyArray_CHKFLAGS(q, cnp.NPY_C_CONTIGUOUS):
 *         qvoid = extract(q, qs)
 *         if u.ndim == 1:             # <<<<<<<<<<<<<<
 *             uvoid = extract(u, us)
 *             if typecode == cnp.NPY_FLOAT:
 */
      break;

      /* "scipy/linalg/_decomp_update.pyx":1376
 *                         col(<double_complex*>qTuvoid, qTus, k), qTus[0])
 *                 blas_t_conj(m, col(<double_complex*>qTuvoid, qTus, k), qTus)
 *         elif u.ndim == 2:             # <<<<<<<<<<<<<<
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 */
      case 2:

      /* "scipy/linalg/_decomp_update.pyx":1377
 *                 blas_t_conj(m, col(<double_complex*>qTuvoid, qTus, k), qTus)
 *         elif u.ndim == 2:
 *             p = u.shape[1]             # <<<<<<<<<<<<<<
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 *                 utrans = N
 */
      __pyx_v_p = (__pyx_v_u->dimensions[1]);

      /* "scipy/linalg/_decomp_update.pyx":1378
 *         elif u.ndim == 2:
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = N
 *                 uvoid = extract(u, us)
 */
      __pyx_t_1 = (PyArray_CHKFLAGS(__pyx_v_u, NPY_F_CONTIGUOUS) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1379
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 *                 utrans = N             # <<<<<<<<<<<<<<
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 */
        __pyx_v_utrans = __pyx_v_N;

        /* "scipy/linalg/_decomp_update.pyx":1380
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):
 *                 utrans = N
 *                 uvoid = extract(u, us)             # <<<<<<<<<<<<<<
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 */
        __pyx_v_uvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u, __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1381
 *                 utrans = N
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]             # <<<<<<<<<<<<<<
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 *                 utrans = T
 */
        __pyx_v_ldu = (__pyx_v_u->dimensions[0]);

        /* "scipy/linalg/_decomp_update.pyx":1378
 *         elif u.ndim == 2:
 *             p = u.shape[1]
 *             if cnp.PyArray_CHKFLAGS(u, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = N
 *                 uvoid = extract(u, us)
 */
        goto __pyx_L17;
      }

      /* "scipy/linalg/_decomp_update.pyx":1382
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = T
 *                 uvoid = extract(u, us)
 */
      __pyx_t_1 = (PyArray_CHKFLAGS(__pyx_v_u, NPY_C_CONTIGUOUS) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1383
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 *                 utrans = T             # <<<<<<<<<<<<<<
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[1]
 */
        __pyx_v_utrans = __pyx_v_T;

        /* "scipy/linalg/_decomp_update.pyx":1384
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):
 *                 utrans = T
 *                 uvoid = extract(u, us)             # <<<<<<<<<<<<<<
 *                 ldu = u.shape[1]
 *             else:
 */
        __pyx_v_uvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u, __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1385
 *                 utrans = T
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[1]             # <<<<<<<<<<<<<<
 *             else:
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)
 */
        __pyx_v_ldu = (__pyx_v_u->dimensions[1]);

        /* "scipy/linalg/_decomp_update.pyx":1382
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             elif cnp.PyArray_CHKFLAGS(u, cnp.NPY_C_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 utrans = T
 *                 uvoid = extract(u, us)
 */
        goto __pyx_L17;
      }

      /* "scipy/linalg/_decomp_update.pyx":1387
 *                 ldu = u.shape[1]
 *             else:
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *                 utrans = N
 *                 uvoid = extract(u, us)
 */
      /*else*/ {
        __pyx_t_2 = ((PyObject *)PyArray_FromArray(__pyx_v_u, NULL, NPY_F_CONTIGUOUS)); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1387; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_2);
        __Pyx_DECREF_SET(__pyx_v_u, ((PyArrayObject *)__pyx_t_2));
        __pyx_t_2 = 0;

        /* "scipy/linalg/_decomp_update.pyx":1388
 *             else:
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)
 *                 utrans = N             # <<<<<<<<<<<<<<
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 */
        __pyx_v_utrans = __pyx_v_N;

        /* "scipy/linalg/_decomp_update.pyx":1389
 *                 u = PyArray_FromArray(u, NULL, cnp.NPY_F_CONTIGUOUS)
 *                 utrans = N
 *                 uvoid = extract(u, us)             # <<<<<<<<<<<<<<
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:
 */
        __pyx_v_uvoid = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u, __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1390
 *                 utrans = N
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]             # <<<<<<<<<<<<<<
 *             if typecode == cnp.NPY_FLOAT:
 *                 gemm(N, utrans, m, p, m, 1, <float*>qvoid, n,
 */
        __pyx_v_ldu = (__pyx_v_u->dimensions[0]);
      }
      __pyx_L17:;

      /* "scipy/linalg/_decomp_update.pyx":1391
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                 gemm(N, utrans, m, p, m, 1, <float*>qvoid, n,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_FLOAT) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1392
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:
 *                 gemm(N, utrans, m, p, m, 1, <float*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_DOUBLE:
 */
        __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_N, __pyx_v_utrans, __pyx_v_m, __pyx_v_p, __pyx_v_m, 1.0, ((float *)__pyx_v_qvoid), __pyx_v_n, ((float *)__pyx_v_uvoid), __pyx_v_ldu, 0.0, __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_col(((float *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_m);

        /* "scipy/linalg/_decomp_update.pyx":1391
 *                 uvoid = extract(u, us)
 *                 ldu = u.shape[0]
 *             if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                 gemm(N, utrans, m, p, m, 1, <float*>qvoid, n,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 */
        goto __pyx_L18;
      }

      /* "scipy/linalg/_decomp_update.pyx":1394
 *                 gemm(N, utrans, m, p, m, 1, <float*>qvoid, n,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                 gemm(N, utrans, m, p, m, 1, <double*>qvoid, n,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_DOUBLE) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1395
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_DOUBLE:
 *                 gemm(N, utrans, m, p, m, 1, <double*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_CFLOAT:
 */
        __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_N, __pyx_v_utrans, __pyx_v_m, __pyx_v_p, __pyx_v_m, 1.0, ((double *)__pyx_v_qvoid), __pyx_v_n, ((double *)__pyx_v_uvoid), __pyx_v_ldu, 0.0, __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_col(((double *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_m);

        /* "scipy/linalg/_decomp_update.pyx":1394
 *                 gemm(N, utrans, m, p, m, 1, <float*>qvoid, n,
 *                         <float*>uvoid, ldu, 0, col(<float*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                 gemm(N, utrans, m, p, m, 1, <double*>qvoid, n,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 */
        goto __pyx_L18;
      }

      /* "scipy/linalg/_decomp_update.pyx":1397
 *                 gemm(N, utrans, m, p, m, 1, <double*>qvoid, n,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                 blas_t_2d_conj(m, p, <float_complex*>uvoid, us)
 *                 gemm(N, utrans, m, p, m, 1, <float_complex*>qvoid, n,
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_CFLOAT) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1398
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_CFLOAT:
 *                 blas_t_2d_conj(m, p, <float_complex*>uvoid, us)             # <<<<<<<<<<<<<<
 *                 gemm(N, utrans, m, p, m, 1, <float_complex*>qvoid, n,
 *                         <float_complex*>uvoid, ldu, 0,
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(__pyx_v_m, __pyx_v_p, ((__pyx_t_float_complex *)__pyx_v_uvoid), __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1399
 *             elif typecode == cnp.NPY_CFLOAT:
 *                 blas_t_2d_conj(m, p, <float_complex*>uvoid, us)
 *                 gemm(N, utrans, m, p, m, 1, <float_complex*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <float_complex*>uvoid, ldu, 0,
 *                         col(<float_complex*>qTuvoid, qTus, k), m)
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_gemm(__pyx_v_N, __pyx_v_utrans, __pyx_v_m, __pyx_v_p, __pyx_v_m, __pyx_t_float_complex_from_parts(1, 0), ((__pyx_t_float_complex *)__pyx_v_qvoid), __pyx_v_n, ((__pyx_t_float_complex *)__pyx_v_uvoid), __pyx_v_ldu, __pyx_t_float_complex_from_parts(0, 0), __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_float_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_m);

        /* "scipy/linalg/_decomp_update.pyx":1402
 *                         <float_complex*>uvoid, ldu, 0,
 *                         col(<float_complex*>qTuvoid, qTus, k), m)
 *                 blas_t_2d_conj(m, p, col(<float_complex*>qTuvoid, qTus, k), qTus)             # <<<<<<<<<<<<<<
 *             elif typecode == cnp.NPY_CDOUBLE:
 *                 blas_t_2d_conj(m, p, <double_complex*>uvoid, us)
 */
        __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(__pyx_v_m, __pyx_v_p, __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_col(((__pyx_t_float_complex *)__pyx_v_qTuvoid), __pyx_v_qTus, __pyx_v_k), __pyx_v_qTus);

        /* "scipy/linalg/_decomp_update.pyx":1397
 *                 gemm(N, utrans, m, p, m, 1, <double*>qvoid, n,
 *                         <double*>uvoid, ldu, 0, col(<double*>qTuvoid, qTus, k), m)
 *             elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                 blas_t_2d_conj(m, p, <float_complex*>uvoid, us)
 *                 gemm(N, utrans, m, p, m, 1, <float_complex*>qvoid, n,
 */
        goto __pyx_L18;
      }

      /* "scipy/linalg/_decomp_update.pyx":1403
 *                         col(<float_complex*>qTuvoid, qTus, k), m)
 *                 blas_t_2d_conj(m, p, col(<float_complex*>qTuvoid, qTus, k), qTus)
 *             elif typecode == cnp.NPY_CDOUBLE:             # <<<<<<<<<<<<<<
 *                 blas_t_2d_conj(m, p, <double_complex*>uvoid, us)
 *                 gemm(N, utrans, m, p, m, 1, <double_complex*>qvoid, n,
 */
      __pyx_t_1 = ((__pyx_v_typecode == NPY_CDOUBLE) != 0);
      if (__pyx_t_1) {

        /* "scipy/linalg/_decomp_update.pyx":1404
 *                 blas_t_2d_conj(m, p, col(<float_complex*>qTuvoid, qTus, k), qTus)
 *             elif typecode == cnp.NPY_CDOUBLE:
 *                 blas_t_2d_conj(m, p, <double_complex*>uvoid, us)             # <<<<<<<<<<<<<<
 *                 gemm(N, utrans, m, p, m, 1, <double_complex*>qvoid, n,
 *                         <double_complex*>uvoid, ldu, 0,
 */
        __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_blas_t_2d_conj(__pyx_v_m, __pyx_v_p, ((__pyx_t_double_complex *)__pyx_v_uvoid), __pyx_v_us);

        /* "scipy/linalg/_decomp_update.pyx":1405
 *             elif typecode == cnp.NPY_CDOUBLE:
 *                 blas_t_2d_conj(m, p, <double_complex*>uvoid, us)
 *                 gemm(N, utrans, m, p, m, 1, <double_complex*>qvoid, n,             # <<<<<<<<<<<<<<
 *                         <double_complex*>uvoid, ldu, 0,
 *                         col(<double_complex*>qTuvoid, qTus, k), m)
 */
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/* "scipy/linalg/_decomp_update.pyx":1501
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static char __pyx_doc_5scipy_6linalg_14_decomp_update_4qr_delete[] = "qr_delete(Q, R, k, p=1, which='row', overwrite_qr=False, check_finite=True)\n\n    QR downdate on row or column deletions\n\n    If ``A = Q R`` is the QR factorization of ``A``, return the QR\n    factorization of ``A`` where ``p`` rows or columns have been removed\n    starting at row or column ``k``.\n\n    Parameters\n    ----------\n    Q : (M, M) or (M, N) array_like\n        Unitary/orthogonal matrix from QR decomposition.\n    R : (M, N) or (N, N) array_like\n        Upper triangular matrix from QR decomposition.\n    k : int\n        Index of the first row or column to delete.\n    p : int, optional\n        Number of rows or columns to delete, defaults to 1.\n    which: {'row', 'col'}, optional\n        Determines if rows or columns will be deleted, defaults to 'row'\n    overwrite_qr : bool, optional\n        If True, consume Q and R, overwriting their contents with their\n        downdated versions, and returning approriately sized views.  \n        Defaults to False.\n    check_finite : bool, optional\n        Whether to check that the input matrix contains only finite numbers.\n        Disabling may give a performance gain, but may result in problems\n        (crashes, non-termination) if the inputs do contain infinities or NaNs.\n        Default is True.\n\n    Returns\n    -------\n    Q1 : ndarray\n        Updated unitary/orthogonal factor\n    R1 : ndarray\n        Updated upper triangular factor\n\n    See Also\n    --------\n    qr, qr_multiply, qr_insert, qr_update\n\n    Notes\n    -----\n    This routine does not guarantee that the diagonal entries of ``R1`` are\n    positive.\n\n    .. versionadded:: 0.16.0\n\n    References\n    ----------\n    .. [1] Golub, G. H. & Van Loan, C. F. Matrix Computations, 3rd Ed.\n           (Johns Hopkins University Press, 1996).\n\n    .. [2] Daniel, J. W., Gragg, W. B., Kaufman, L. & Stewart, G. W.\n           Reorthogonalization and stable algorithms for updating the\n           Gram-Schmidt QR factorization"". Math. Comput. 30, 772-795 (1976).\n\n    .. [3] Reichel, L. & Gragg, W. B. Algorithm 686: FORTRAN Subroutines for\n           Updating the QR Decomposition. ACM Trans. Math. Softw. 16, 369-377\n           (1990).\n\n    Examples\n    --------\n    >>> from scipy import linalg\n    >>> a = np.array([[  3.,  -2.,  -2.],\n    ...               [  6.,  -9.,  -3.],\n    ...               [ -3.,  10.,   1.],\n    ...               [  6.,  -7.,   4.],\n    ...               [  7.,   8.,  -6.]])\n    >>> q, r = linalg.qr(a)\n\n    Given this QR decomposition, update q and r when 2 rows are removed.\n\n    >>> q1, r1 = linalg.qr_delete(q, r, 2, 2, 'row', False)\n    >>> q1\n    array([[ 0.30942637,  0.15347579,  0.93845645],  # may vary (signs)\n           [ 0.61885275,  0.71680171, -0.32127338],\n           [ 0.72199487, -0.68017681, -0.12681844]])\n    >>> r1\n    array([[  9.69535971,  -0.4125685 ,  -6.80738023],  # may vary (signs)\n           [  0.        , -12.19958144,   1.62370412],\n           [  0.        ,   0.        ,  -0.15218213]])\n\n    The update is equivalent, but faster than the following.\n\n    >>> a1 = np.delete(a, slice(2,4), 0)\n    >>> a1\n    array([[ 3., -2., -2.],\n           [ 6., -9., -3.],\n           [ 7.,  8., -6.]])\n    >>> q_direct, r_direct = linalg.qr(a1)\n\n    Check that we have equivalent results:\n\n    >>> np.dot(q1, r1)\n    array([[ 3., -2., -2.],\n           [ 6., -9., -3.],\n           [ 7.,  8., -6.]])\n    >>> np.allclose(np.dot(q1, r1), a1)\n    True\n\n    And the updated Q is still unitary:\n\n    >>> np.allclose(np.dot(q1.T, q1), np.eye(3))\n    True\n\n    ";
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 */
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 *                 elif typecode == cnp.NPY_CFLOAT:
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/* "scipy/linalg/_decomp_update.pyx":1743
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static char __pyx_doc_5scipy_6linalg_14_decomp_update_6qr_insert[] = "qr_insert(Q, R, u, k, which='row', rcond=None, overwrite_qru=False, check_finite=True)\n\n    QR update on row or column insertions\n\n    If ``A = Q R`` is the QR factorization of ``A``, return the QR\n    factorization of ``A`` where rows or columns have been inserted starting\n    at row or column ``k``.\n\n    Parameters\n    ----------\n    Q : (M, M) array_like\n        Unitary/orthogonal matrix from the QR decomposition of A.\n    R : (M, N) array_like\n        Upper triangular matrix from the QR decomposition of A.\n    u : (N,), (p, N), (M,), or (M, p) array_like\n        Rows or columns to insert\n    k : int\n        Index before which `u` is to be inserted.\n    which: {'row', 'col'}, optional\n        Determines if rows or columns will be inserted, defaults to 'row'\n    rcond : float\n        Lower bound on the reciprocal condition number of ``Q`` augmented with\n        ``u/||u||`` Only used when updating economic mode (thin, (M,N) (N,N))\n        decompositions.  If None, machine precision is used.  Defaults to \n        None.\n    overwrite_qru : bool, optional\n        If True, consume Q, R, and u, if possible, while performing the update,\n        otherwise make copies as necessary. Defaults to False.\n    check_finite : bool, optional\n        Whether to check that the input matrices contain only finite numbers.\n        Disabling may give a performance gain, but may result in problems\n        (crashes, non-termination) if the inputs do contain infinities or NaNs.\n        Default is True.\n\n    Returns\n    -------\n    Q1 : ndarray\n        Updated unitary/orthogonal factor\n    R1 : ndarray\n        Updated upper triangular factor\n\n    Raises\n    ------\n    LinAlgError :\n        If updating a (M,N) (N,N) factorization and the reciprocal condition\n        number of Q augmented with u/||u|| is smaller than rcond.\n\n    See Also\n    --------\n    qr, qr_multiply, qr_delete, qr_update\n\n    Notes\n    -----\n    This routine does not gu""arantee that the diagonal entries of ``R1`` are\n    positive.\n\n    .. versionadded:: 0.16.0\n\n    References\n    ----------\n\n    .. [1] Golub, G. H. & Van Loan, C. F. Matrix Computations, 3rd Ed.\n           (Johns Hopkins University Press, 1996).\n\n    .. [2] Daniel, J. W., Gragg, W. B., Kaufman, L. & Stewart, G. W.\n           Reorthogonalization and stable algorithms for updating the\n           Gram-Schmidt QR factorization. Math. Comput. 30, 772-795 (1976).\n\n    .. [3] Reichel, L. & Gragg, W. B. Algorithm 686: FORTRAN Subroutines for\n           Updating the QR Decomposition. ACM Trans. Math. Softw. 16, 369-377\n           (1990).\n\n    Examples\n    --------\n    >>> from scipy import linalg\n    >>> a = np.array([[  3.,  -2.,  -2.],\n    ...               [  6.,  -7.,   4.],\n    ...               [  7.,   8.,  -6.]])\n    >>> q, r = linalg.qr(a)\n\n    Given this QR decomposition, update q and r when 2 rows are inserted.\n                      \n    >>> u = np.array([[  6.,  -9.,  -3.], \n    ...               [ -3.,  10.,   1.]])\n    >>> q1, r1 = linalg.qr_insert(q, r, u, 2, 'row')\n    >>> q1\n    array([[-0.25445668,  0.02246245,  0.18146236, -0.72798806,  0.60979671],  # may vary (signs)\n           [-0.50891336,  0.23226178, -0.82836478, -0.02837033, -0.00828114],\n           [-0.50891336,  0.35715302,  0.38937158,  0.58110733,  0.35235345],\n           [ 0.25445668, -0.52202743, -0.32165498,  0.36263239,  0.65404509],\n           [-0.59373225, -0.73856549,  0.16065817, -0.0063658 , -0.27595554]])\n    >>> r1\n    array([[-11.78982612,   6.44623587,   3.81685018],  # may vary (signs)\n           [  0.        , -16.01393278,   3.72202865],\n           [  0.        ,   0.        ,  -6.13010256],\n           [  0.        ,   0.        ,   0.        ],\n           [  0.        ,   0.        ,   0.        ]])\n\n    The update is equivalent, but faster than the following.\n\n    >>> a1 = np.insert(a, 2, u, 0)\n    >>> a1\n    array([[  3.,  -2., "" -2.],\n           [  6.,  -7.,   4.],\n           [  6.,  -9.,  -3.],\n           [ -3.,  10.,   1.],\n           [  7.,   8.,  -6.]])\n    >>> q_direct, r_direct = linalg.qr(a1)\n\n    Check that we have equivalent results:\n\n    >>> np.dot(q1, r1)\n    array([[  3.,  -2.,  -2.],\n           [  6.,  -7.,   4.],\n           [  6.,  -9.,  -3.],\n           [ -3.,  10.,   1.],\n           [  7.,   8.,  -6.]])\n\n    >>> np.allclose(np.dot(q1, r1), a1)\n    True\n\n    And the updated Q is still unitary:\n\n    >>> np.allclose(np.dot(q1.T, q1), np.eye(5))\n    True\n\n    ";
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              __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert((__pyx_v_m + __pyx_v_p), __pyx_v_n, ((float *)__pyx_v_qptr), __pyx_v_qs, ((float *)__pyx_v_rptr), __pyx_v_rs, ((float *)__pyx_v_uptr), __pyx_v_us, __pyx_v_k1);

              /* "scipy/linalg/_decomp_update.pyx":1948
 *             uptr = extract(u1, us)
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>uptr, us, k1)
 */
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              /* "scipy/linalg/_decomp_update.pyx":1951
 *                     thin_qr_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>uptr, us, k1)
 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     thin_qr_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>uptr, us, k1)
 */
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              /* "scipy/linalg/_decomp_update.pyx":1952
 *                         <float*>rptr, rs, <float*>uptr, us, k1)
 *                 elif typecode == cnp.NPY_DOUBLE:
 *                     thin_qr_row_insert(m+p, n, <double*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <double*>rptr, rs, <double*>uptr, us, k1)
 *                 elif typecode == cnp.NPY_CFLOAT:
 */
              __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert((__pyx_v_m + __pyx_v_p), __pyx_v_n, ((double *)__pyx_v_qptr), __pyx_v_qs, ((double *)__pyx_v_rptr), __pyx_v_rs, ((double *)__pyx_v_uptr), __pyx_v_us, __pyx_v_k1);

              /* "scipy/linalg/_decomp_update.pyx":1951
 *                     thin_qr_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>uptr, us, k1)
 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     thin_qr_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>uptr, us, k1)
 */
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 *                     thin_qr_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>uptr, us, k1)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_row_insert(m+p, n, <float_complex*>qptr, qs,
 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us, k1)
 */
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              /* "scipy/linalg/_decomp_update.pyx":1955
 *                         <double*>rptr, rs, <double*>uptr, us, k1)
 *                 elif typecode == cnp.NPY_CFLOAT:
 *                     thin_qr_row_insert(m+p, n, <float_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us, k1)
 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 */
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              /* "scipy/linalg/_decomp_update.pyx":1954
 *                     thin_qr_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>uptr, us, k1)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_row_insert(m+p, n, <float_complex*>qptr, qs,
 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us, k1)
 */
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              /* "scipy/linalg/_decomp_update.pyx":1958
 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us, k1)
 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 *                     thin_qr_row_insert(m+p, n, <double_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <double_complex*>rptr, rs, <double_complex*>uptr, us, k1)
 *         else:
 */
              __pyx_fuse_3__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_row_insert((__pyx_v_m + __pyx_v_p), __pyx_v_n, ((__pyx_t_double_complex *)__pyx_v_qptr), __pyx_v_qs, ((__pyx_t_double_complex *)__pyx_v_rptr), __pyx_v_rs, ((__pyx_t_double_complex *)__pyx_v_uptr), __pyx_v_us, __pyx_v_k1);
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 *                 if typecode == cnp.NPY_FLOAT:
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      __Pyx_GOTREF(__pyx_t_9);
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      /* "scipy/linalg/_decomp_update.pyx":1963
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 *             qptr = extract(qnew, qs)
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 */
      __pyx_t_9 = ((PyObject *)PyArray_FromArray(__pyx_v_u1, NULL, NPY_F_CONTIGUOUS)); if (unlikely(!__pyx_t_9)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1963; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      /* "scipy/linalg/_decomp_update.pyx":1964
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 *             u1 = PyArray_FromArray(u1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             qptr = extract(qnew, qs)             # <<<<<<<<<<<<<<
 *             rptr = extract(r1, rs)
 *             uptr = extract(u1, us)
 */
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 *             rptr = extract(r1, rs)             # <<<<<<<<<<<<<<
 *             uptr = extract(u1, us)
 *             with nogil:
 */
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 *             qptr = extract(qnew, qs)
 *             rptr = extract(r1, rs)
 *             uptr = extract(u1, us)             # <<<<<<<<<<<<<<
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:
 */
      __pyx_v_uptr = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u1, __pyx_v_us);

      /* "scipy/linalg/_decomp_update.pyx":1967
 *             rptr = extract(r1, rs)
 *             uptr = extract(u1, us)
 *             with nogil:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
 *                     thin_qr_block_row_insert(m+p, n, <float*>qptr, qs,
 */
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          PyThreadState *_save;
          Py_UNBLOCK_THREADS
          #endif
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 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_block_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>uptr, us, k1, p)
 */
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              /* "scipy/linalg/_decomp_update.pyx":1969
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 *                     thin_qr_block_row_insert(m+p, n, <float*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float*>rptr, rs, <float*>uptr, us, k1, p)
 *                 elif typecode == cnp.NPY_DOUBLE:
 */
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              /* "scipy/linalg/_decomp_update.pyx":1968
 *             uptr = extract(u1, us)
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 *                     thin_qr_block_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>uptr, us, k1, p)
 */
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 *                     thin_qr_block_row_insert(m+p, n, <float*>qptr, qs,
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 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     thin_qr_block_row_insert(m+p, n, <double*>qptr, qs,
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 */
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 *                         <double*>rptr, rs, <double*>uptr, us, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:
 */
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 *                     thin_qr_block_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>uptr, us, k1, p)
 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     thin_qr_block_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>uptr, us, k1, p)
 */
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 *                     thin_qr_block_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>uptr, us, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_block_row_insert(m+p, n, <float_complex*>qptr, qs,
 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us, k1, p)
 */
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 *                         <double*>rptr, rs, <double*>uptr, us, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:
 *                     thin_qr_block_row_insert(m+p, n, <float_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us, k1, p)
 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 */
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 *                     thin_qr_block_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>uptr, us, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_block_row_insert(m+p, n, <float_complex*>qptr, qs,
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 */
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 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 *                     thin_qr_block_row_insert(m+p, n, <double_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <double_complex*>rptr, rs, <double_complex*>uptr, us, k1, p)
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 */
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 *             rptr = extract(r1, rs)
 *             uptr = extract(u1, us)
 *             with nogil:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
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 */
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 *                     thin_qr_block_row_insert(m+p, n, <double_complex*>qptr, qs,
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 *     else:
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 */
    __Pyx_XDECREF(__pyx_r);
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    __Pyx_GOTREF(__pyx_t_9);
    __pyx_t_8 = PySlice_New(Py_None, __pyx_t_9, Py_None); if (unlikely(!__pyx_t_8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1980; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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 *         qnew = cnp.PyArray_ZEROS(2, shape, typecode, 1)             # <<<<<<<<<<<<<<
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    /* "scipy/linalg/_decomp_update.pyx":1985
 *         shape[1] = m + p
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    /* "scipy/linalg/_decomp_update.pyx":1986
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 *         rnew = cnp.PyArray_ZEROS(2, shape, typecode, 1)             # <<<<<<<<<<<<<<
 * 
 *         rnew[:m,:] = r1
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    __Pyx_GOTREF(__pyx_t_9);
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    /* "scipy/linalg/_decomp_update.pyx":1988
 *         rnew = cnp.PyArray_ZEROS(2, shape, typecode, 1)
 * 
 *         rnew[:m,:] = r1             # <<<<<<<<<<<<<<
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 *         qptr = extract(qnew, qs)
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 *         qptr = extract(qnew, qs)             # <<<<<<<<<<<<<<
 *         rptr = extract(rnew, rs)
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 * 
 *         qptr = extract(qnew, qs)
 *         rptr = extract(rnew, rs)             # <<<<<<<<<<<<<<
 *         if p == 1:
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 *         rptr = extract(rnew, rs)
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 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:
 */
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 *         if p == 1:
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 *                 if typecode == cnp.NPY_FLOAT:
 *                     qr_row_insert(m+p, n, <float*>qptr, qs,
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          #ifdef WITH_THREAD
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          Py_UNBLOCK_THREADS
          #endif
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 *         if p == 1:
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     qr_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, k1)
 */
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 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:
 *                     qr_row_insert(m+p, n, <float*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float*>rptr, rs, k1)
 *                 elif typecode == cnp.NPY_DOUBLE:
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 *         if p == 1:
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 *                     qr_row_insert(m+p, n, <float*>qptr, qs,
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 */
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 *                     qr_row_insert(m+p, n, <double*>qptr, qs,
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 */
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 *                         <double*>rptr, rs, k1)
 *                 elif typecode == cnp.NPY_CFLOAT:
 */
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 *                     qr_row_insert(m+p, n, <float*>qptr, qs,
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 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     qr_row_insert(m+p, n, <double*>qptr, qs,
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 */
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 *                     qr_row_insert(m+p, n, <double*>qptr, qs,
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 */
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 *                         <double*>rptr, rs, k1)
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 */
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 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
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 */
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 *                         <float_complex*>rptr, rs, k1)
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 *                         <double_complex*>rptr, rs, k1)
 *         else:
 */
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          /* "scipy/linalg/_decomp_update.pyx":1997
 *         rptr = extract(rnew, rs)
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 *                 if typecode == cnp.NPY_FLOAT:
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 */
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              Py_BLOCK_THREADS
              #endif
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      /* "scipy/linalg/_decomp_update.pyx":1996
 *         qptr = extract(qnew, qs)
 *         rptr = extract(rnew, rs)
 *         if p == 1:             # <<<<<<<<<<<<<<
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:
 */
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 *                         <double_complex*>rptr, rs, k1)
 *         else:
 *             with nogil:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
 *                     info = qr_block_row_insert(m+p, n, <float*>qptr, qs,
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          #ifdef WITH_THREAD
          PyThreadState *_save;
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          #endif
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            /* "scipy/linalg/_decomp_update.pyx":2012
 *         else:
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     info = qr_block_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, k1, p)
 */
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              /* "scipy/linalg/_decomp_update.pyx":2013
 *             with nogil:
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 *                     info = qr_block_row_insert(m+p, n, <float*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float*>rptr, rs, k1, p)
 *                 elif typecode == cnp.NPY_DOUBLE:
 */
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              /* "scipy/linalg/_decomp_update.pyx":2012
 *         else:
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 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     info = qr_block_row_insert(m+p, n, <float*>qptr, qs,
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 */
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 *                     info = qr_block_row_insert(m+p, n, <float*>qptr, qs,
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 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     info = qr_block_row_insert(m+p, n, <double*>qptr, qs,
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 */
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              /* "scipy/linalg/_decomp_update.pyx":2016
 *                         <float*>rptr, rs, k1, p)
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 *                     info = qr_block_row_insert(m+p, n, <double*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <double*>rptr, rs, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:
 */
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 *                     info = qr_block_row_insert(m+p, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, k1, p)
 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     info = qr_block_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, k1, p)
 */
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              /* "scipy/linalg/_decomp_update.pyx":2018
 *                     info = qr_block_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     info = qr_block_row_insert(m+p, n, <float_complex*>qptr, qs,
 *                         <float_complex*>rptr, rs, k1, p)
 */
              case NPY_CFLOAT:

              /* "scipy/linalg/_decomp_update.pyx":2019
 *                         <double*>rptr, rs, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:
 *                     info = qr_block_row_insert(m+p, n, <float_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float_complex*>rptr, rs, k1, p)
 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 */
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 *                     info = qr_block_row_insert(m+p, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, k1, p)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     info = qr_block_row_insert(m+p, n, <float_complex*>qptr, qs,
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 *                         <float_complex*>rptr, rs, k1, p)
 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 *                     info = qr_block_row_insert(m+p, n, <double_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <double_complex*>rptr, rs, k1, p)
 *             if info == MEMORY_ERROR:
 */
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          /* "scipy/linalg/_decomp_update.pyx":2011
 *                         <double_complex*>rptr, rs, k1)
 *         else:
 *             with nogil:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
 *                     info = qr_block_row_insert(m+p, n, <float*>qptr, qs,
 */
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              Py_BLOCK_THREADS
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              goto __pyx_L29;
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            __pyx_L29:;
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      /* "scipy/linalg/_decomp_update.pyx":2024
 *                     info = qr_block_row_insert(m+p, n, <double_complex*>qptr, qs,
 *                         <double_complex*>rptr, rs, k1, p)
 *             if info == MEMORY_ERROR:             # <<<<<<<<<<<<<<
 *                 raise MemoryError('Unable to allocate memory for array')
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/* "scipy/linalg/_decomp_update.pyx":2200
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/* Python wrapper */
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static char __pyx_doc_5scipy_6linalg_14_decomp_update_12qr_update[] = "qr_update(Q, R, u, v, overwrite_qruv=False, check_finite=True)\n\n    Rank-k QR update\n\n    If ``A = Q R`` is the QR factorization of ``A``, return the QR\n    factorization of ``A + u v**T`` for real ``A`` or ``A + u v**H``\n    for complex ``A``.\n\n    Parameters\n    ----------\n    Q : (M, M) or (M, N) array_like\n        Unitary/orthogonal matrix from the qr decomposition of A.\n    R : (M, N) or (N, N) array_like\n        Upper triangular matrix from the qr decomposition of A.\n    u : (M,) or (M, k) array_like\n        Left update vector\n    v : (N,) or (N, k) array_like\n        Right update vector\n    overwrite_qruv : bool, optional\n        If True, consume Q, R, u, and v, if possible, while performing the\n        update, otherwise make copies as necessary. Defaults to False.\n    check_finite : bool, optional\n        Whether to check that the input matrix contains only finite numbers.\n        Disabling may give a performance gain, but may result in problems\n        (crashes, non-termination) if the inputs do contain infinities or NaNs.\n        Default is True.\n\n    Returns\n    -------\n    Q1 : ndarray\n        Updated unitary/orthogonal factor\n    R1 : ndarray\n        Updated upper triangular factor\n\n    See Also\n    --------\n    qr, qr_multiply, qr_delete, qr_insert\n\n    Notes\n    -----\n    This routine does not guarantee that the diagonal entries of `R1` are\n    real or positive.\n\n    .. versionadded:: 0.16.0\n\n    References\n    ----------\n    .. [1] Golub, G. H. & Van Loan, C. F. Matrix Computations, 3rd Ed.\n           (Johns Hopkins University Press, 1996).\n\n    .. [2] Daniel, J. W., Gragg, W. B., Kaufman, L. & Stewart, G. W.\n           Reorthogonalization and stable algorithms for updating the\n           Gram-Schmidt QR factorization. Math. Comput. 30, 772-795 (1976).\n\n    .. [3] Reichel, L. & Gragg, W. B. Algorithm 686: FORTRAN Subroutines for\n           Updating the QR Decomposition. ACM Trans. Math. Softw. 16"", 369-377\n           (1990).\n\n    Examples\n    --------\n    >>> from scipy import linalg\n    >>> a = np.array([[  3.,  -2.,  -2.],\n    ...               [  6.,  -9.,  -3.],\n    ...               [ -3.,  10.,   1.],\n    ...               [  6.,  -7.,   4.],\n    ...               [  7.,   8.,  -6.]])\n    >>> q, r = linalg.qr(a)\n\n    Given this q, r decomposition, perform a rank 1 update.\n\n    >>> u = np.array([7., -2., 4., 3., 5.])\n    >>> v = np.array([1., 3., -5.])\n    >>> q_up, r_up = linalg.qr_update(q, r, u, v, False)\n    >>> q_up\n    array([[ 0.54073807,  0.18645997,  0.81707661, -0.02136616,  0.06902409],  # may vary (signs)\n           [ 0.21629523, -0.63257324,  0.06567893,  0.34125904, -0.65749222],\n           [ 0.05407381,  0.64757787, -0.12781284, -0.20031219, -0.72198188],\n           [ 0.48666426, -0.30466718, -0.27487277, -0.77079214,  0.0256951 ],\n           [ 0.64888568,  0.23001   , -0.4859845 ,  0.49883891,  0.20253783]])\n    >>> r_up\n    array([[ 18.49324201,  24.11691794, -44.98940746],  # may vary (signs)\n           [  0.        ,  31.95894662, -27.40998201],\n           [  0.        ,   0.        ,  -9.25451794],\n           [  0.        ,   0.        ,   0.        ],\n           [  0.        ,   0.        ,   0.        ]])\n    \n    The update is equivalent, but faster than the following.\n\n    >>> a_up = a + np.outer(u, v)\n    >>> q_direct, r_direct = linalg.qr(a_up)\n\n    Check that we have equivalent results:\n\n    >>> np.allclose(np.dot(q_up, r_up), a_up)\n    True\n\n    And the updated Q is still unitary:\n\n    >>> np.allclose(np.dot(q_up.T, q_up), np.eye(5))\n    True\n\n    Updating economic (reduced, thin) decompositions is also possible:\n\n    >>> qe, re = linalg.qr(a, mode='economic')\n    >>> qe_up, re_up = linalg.qr_update(qe, re, u, v, False)\n    >>> qe_up\n    array([[ 0.54073807,  0.18645997,  0.81707661],  # may vary (signs)\n           [ 0.21629523, -0.63257324,  0.06567893],\n           [ 0.054""07381,  0.64757787, -0.12781284],\n           [ 0.48666426, -0.30466718, -0.27487277],\n           [ 0.64888568,  0.23001   , -0.4859845 ]])\n    >>> re_up\n    array([[ 18.49324201,  24.11691794, -44.98940746],  # may vary (signs)\n           [  0.        ,  31.95894662, -27.40998201],\n           [  0.        ,   0.        ,  -9.25451794]])\n    >>> np.allclose(np.dot(qe_up, re_up), a_up)\n    True\n    >>> np.allclose(np.dot(qe_up.T, qe_up), np.eye(3))\n    True\n\n    Similarly to the above, perform a rank 2 update.\n\n    >>> u2 = np.array([[ 7., -1,],\n    ...                [-2.,  4.],\n    ...                [ 4.,  2.],\n    ...                [ 3., -6.],\n    ...                [ 5.,  3.]])\n    >>> v2 = np.array([[ 1., 2.],\n    ...                [ 3., 4.],\n    ...                [-5., 2]])\n    >>> q_up2, r_up2 = linalg.qr_update(q, r, u2, v2, False)\n    >>> q_up2\n    array([[-0.33626508, -0.03477253,  0.61956287, -0.64352987, -0.29618884],  # may vary (signs)\n           [-0.50439762,  0.58319694, -0.43010077, -0.33395279,  0.33008064],\n           [-0.21016568, -0.63123106,  0.0582249 , -0.13675572,  0.73163206],\n           [ 0.12609941,  0.49694436,  0.64590024,  0.31191919,  0.47187344],\n           [-0.75659643, -0.11517748,  0.10284903,  0.5986227 , -0.21299983]])\n    >>> r_up2\n    array([[-23.79075451, -41.1084062 ,  24.71548348],  # may vary (signs)\n           [  0.        , -33.83931057,  11.02226551],\n           [  0.        ,   0.        ,  48.91476811],\n           [  0.        ,   0.        ,   0.        ],\n           [  0.        ,   0.        ,   0.        ]])\n\n    This update is also a valid qr decomposition of ``A + U V**T``.\n\n    >>> a_up2 = a + np.dot(u2, v2.T)\n    >>> np.allclose(a_up2, np.dot(q_up2, r_up2))\n    True\n    >>> np.allclose(np.dot(q_up2.T, q_up2), np.eye(5))\n    True\n\n    ";
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 */
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 * 
 *     if economic:             # <<<<<<<<<<<<<<
 *         ndim = 1
 *         length = 2*n
 */
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 * 
 *     if economic:
 *         ndim = 1             # <<<<<<<<<<<<<<
 *         length = 2*n
 *         s = cnp.PyArray_ZEROS(ndim, &length, typecode, 1)
 */
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 *         length = 2*n             # <<<<<<<<<<<<<<
 *         s = cnp.PyArray_ZEROS(ndim, &length, typecode, 1)
 *         if not cnp.PyArray_ISONESEGMENT(q1):
 */
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 *         length = 2*n
 *         s = cnp.PyArray_ZEROS(ndim, &length, typecode, 1)
 *         if not cnp.PyArray_ISONESEGMENT(q1):             # <<<<<<<<<<<<<<
 *             q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             qisF = True
 */
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 *         s = cnp.PyArray_ZEROS(ndim, &length, typecode, 1)
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 *             qisF = True
 *         elif cnp.PyArray_CHKFLAGS(q1, cnp.NPY_F_CONTIGUOUS):
 */
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 *             q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             qisF = True             # <<<<<<<<<<<<<<
 *         elif cnp.PyArray_CHKFLAGS(q1, cnp.NPY_F_CONTIGUOUS):
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 */
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 *         length = 2*n
 *         s = cnp.PyArray_ZEROS(ndim, &length, typecode, 1)
 *         if not cnp.PyArray_ISONESEGMENT(q1):             # <<<<<<<<<<<<<<
 *             q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             qisF = True
 */
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 *             q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             qisF = True
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 *             qisF = True
 *         else:
 */
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 *             qisF = True
 *         elif cnp.PyArray_CHKFLAGS(q1, cnp.NPY_F_CONTIGUOUS):
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 *         else:
 *             qisF = False
 */
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 *             q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             qisF = True
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 *             qisF = True
 *         else:
 */
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 *             qisF = True
 *         else:
 *             qisF = False             # <<<<<<<<<<<<<<
 *         qptr = extract(q1, qs)
 *         rptr = extract(r1, rs)
 */
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 *             qisF = False
 *         qptr = extract(q1, qs)             # <<<<<<<<<<<<<<
 *         rptr = extract(r1, rs)
 *         uptr = extract(u1, us)
 */
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 *             qisF = False
 *         qptr = extract(q1, qs)
 *         rptr = extract(r1, rs)             # <<<<<<<<<<<<<<
 *         uptr = extract(u1, us)
 *         vptr = extract(v1, vs)
 */
    __pyx_v_rptr = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_r1, __pyx_v_rs);

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 *         qptr = extract(q1, qs)
 *         rptr = extract(r1, rs)
 *         uptr = extract(u1, us)             # <<<<<<<<<<<<<<
 *         vptr = extract(v1, vs)
 *         sptr = extract(s, ss)
 */
    __pyx_v_uptr = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_u1, __pyx_v_us);

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 *         rptr = extract(r1, rs)
 *         uptr = extract(u1, us)
 *         vptr = extract(v1, vs)             # <<<<<<<<<<<<<<
 *         sptr = extract(s, ss)
 *         with nogil:
 */
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 *         uptr = extract(u1, us)
 *         vptr = extract(v1, vs)
 *         sptr = extract(s, ss)             # <<<<<<<<<<<<<<
 *         with nogil:
 *             if p == 1:
 */
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 *         vptr = extract(v1, vs)
 *         sptr = extract(s, ss)
 *         with nogil:             # <<<<<<<<<<<<<<
 *             if p == 1:
 *                 if typecode == cnp.NPY_FLOAT:
 */
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 *         sptr = extract(s, ss)
 *         with nogil:
 *             if p == 1:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
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 */
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 *                     thin_qr_rank_1_update(m, n, <float*>qptr, qs, qisF,
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 */
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 *                         <float*>rptr, rs, <float*>uptr, us,
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 */
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 *         with nogil:
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 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_1_update(m, n, <float*>qptr, qs, qisF,
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 */
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 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_1_update(m, n, <double*>qptr, qs, qisF,
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 */
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 *                         <double*>rptr, rs, <double*>uptr, us,
 *                         <double*>vptr, vs, <double*>sptr, ss)
 */
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 *                         <float*>rptr, rs, <float*>uptr, us,
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 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_1_update(m, n, <double*>qptr, qs, qisF,
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 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_1_update(m, n, <float_complex*>qptr, qs, qisF,
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 */
              case NPY_CFLOAT:

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 *                         <double*>vptr, vs, <double*>sptr, ss)
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 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us,
 *                         <float_complex*>vptr, vs, <float_complex*>sptr, ss)
 */
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 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_1_update(m, n, <float_complex*>qptr, qs, qisF,
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 */
              break;
              default:

              /* "scipy/linalg/_decomp_update.pyx":2457
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 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 *                     thin_qr_rank_1_update(m, n, <double_complex*>qptr, qs, qisF,             # <<<<<<<<<<<<<<
 *                         <double_complex*>rptr, rs, <double_complex*>uptr, us,
 *                         <double_complex*>vptr, vs, <double_complex*>sptr, ss)
 */
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            /* "scipy/linalg/_decomp_update.pyx":2443
 *         sptr = extract(s, ss)
 *         with nogil:
 *             if p == 1:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
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 */
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          /* "scipy/linalg/_decomp_update.pyx":2461
 *                         <double_complex*>vptr, vs, <double_complex*>sptr, ss)
 *             else:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_p_update(m, n, p, <float*>qptr, qs, qisF,
 *                         <float*>rptr, rs, <float*>uptr, us,
 */
          /*else*/ {

            /* "scipy/linalg/_decomp_update.pyx":2469
 *                         <double*>rptr, rs, <double*>uptr, us,
 *                         <double*>vptr, vs, <double*>sptr, ss)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_p_update(m, n, p, <float_complex*>qptr, qs, qisF,
 *                         <float_complex*>rptr, rs, <float_complex*>uptr, us,
 */
            switch (__pyx_v_typecode) {

              /* "scipy/linalg/_decomp_update.pyx":2461
 *                         <double_complex*>vptr, vs, <double_complex*>sptr, ss)
 *             else:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     thin_qr_rank_p_update(m, n, p, <float*>qptr, qs, qisF,
 *                         <float*>rptr, rs, <float*>uptr, us,
 */
              case NPY_FLOAT:

              /* "scipy/linalg/_decomp_update.pyx":2462
 *             else:
 *                 if typecode == cnp.NPY_FLOAT:
 *                     thin_qr_rank_p_update(m, n, p, <float*>qptr, qs, qisF,             # <<<<<<<<<<<<<<
 *                         <float*>rptr, rs, <float*>uptr, us,
 *                         <float*>vptr, vs, <float*>sptr, ss)
 */
              __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_thin_qr_rank_p_update(__pyx_v_m, __pyx_v_n, __pyx_v_p, ((float *)__pyx_v_qptr), __pyx_v_qs, __pyx_v_qisF, ((float *)__pyx_v_rptr), __pyx_v_rs, ((float *)__pyx_v_uptr), __pyx_v_us, ((float *)__pyx_v_vptr), __pyx_v_vs, ((float *)__pyx_v_sptr), __pyx_v_ss);

              /* "scipy/linalg/_decomp_update.pyx":2461
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    if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2484; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
    __pyx_v_qTu = ((PyArrayObject *)__pyx_t_4);
    __pyx_t_4 = 0;

    /* "scipy/linalg/_decomp_update.pyx":2485
 *             return q1, r1
 *         qTu = cnp.PyArray_ZEROS(u1.ndim, u1.shape, typecode, 1)
 *         qTuptr = extract(qTu, qTus)             # <<<<<<<<<<<<<<
 *         if p == 1:
 *             if not cnp.PyArray_ISONESEGMENT(q1):
 */
    __pyx_v_qTuptr = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_qTu, __pyx_v_qTus);

    /* "scipy/linalg/_decomp_update.pyx":2486
 *         qTu = cnp.PyArray_ZEROS(u1.ndim, u1.shape, typecode, 1)
 *         qTuptr = extract(qTu, qTus)
 *         if p == 1:             # <<<<<<<<<<<<<<
 *             if not cnp.PyArray_ISONESEGMENT(q1):
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 */
    __pyx_t_2 = ((__pyx_v_p == 1) != 0);
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      /* "scipy/linalg/_decomp_update.pyx":2487
 *         qTuptr = extract(qTu, qTus)
 *         if p == 1:
 *             if not cnp.PyArray_ISONESEGMENT(q1):             # <<<<<<<<<<<<<<
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             form_qTu(q1, u1, qTuptr, qTus, 0)
 */
      __pyx_t_2 = ((!(PyArray_ISONESEGMENT(__pyx_v_q1) != 0)) != 0);
      if (__pyx_t_2) {

        /* "scipy/linalg/_decomp_update.pyx":2488
 *         if p == 1:
 *             if not cnp.PyArray_ISONESEGMENT(q1):
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *             form_qTu(q1, u1, qTuptr, qTus, 0)
 *             qptr = extract(q1, qs)
 */
        __pyx_t_4 = ((PyObject *)PyArray_FromArray(__pyx_v_q1, NULL, NPY_F_CONTIGUOUS)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2488; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        __Pyx_DECREF_SET(__pyx_v_q1, ((PyArrayObject *)__pyx_t_4));
        __pyx_t_4 = 0;

        /* "scipy/linalg/_decomp_update.pyx":2487
 *         qTuptr = extract(qTu, qTus)
 *         if p == 1:
 *             if not cnp.PyArray_ISONESEGMENT(q1):             # <<<<<<<<<<<<<<
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             form_qTu(q1, u1, qTuptr, qTus, 0)
 */
      }

      /* "scipy/linalg/_decomp_update.pyx":2489
 *             if not cnp.PyArray_ISONESEGMENT(q1):
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             form_qTu(q1, u1, qTuptr, qTus, 0)             # <<<<<<<<<<<<<<
 *             qptr = extract(q1, qs)
 *             rptr = extract(r1, rs)
 */
      __pyx_t_4 = __pyx_f_5scipy_6linalg_14_decomp_update_form_qTu(__pyx_v_q1, __pyx_v_u1, __pyx_v_qTuptr, __pyx_v_qTus, 0); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2489; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;

      /* "scipy/linalg/_decomp_update.pyx":2490
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             form_qTu(q1, u1, qTuptr, qTus, 0)
 *             qptr = extract(q1, qs)             # <<<<<<<<<<<<<<
 *             rptr = extract(r1, rs)
 *             vptr = extract(v1, vs)
 */
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      /* "scipy/linalg/_decomp_update.pyx":2491
 *             form_qTu(q1, u1, qTuptr, qTus, 0)
 *             qptr = extract(q1, qs)
 *             rptr = extract(r1, rs)             # <<<<<<<<<<<<<<
 *             vptr = extract(v1, vs)
 *             with nogil:
 */
      __pyx_v_rptr = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_r1, __pyx_v_rs);

      /* "scipy/linalg/_decomp_update.pyx":2492
 *             qptr = extract(q1, qs)
 *             rptr = extract(r1, rs)
 *             vptr = extract(v1, vs)             # <<<<<<<<<<<<<<
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:
 */
      __pyx_v_vptr = __pyx_f_5scipy_6linalg_14_decomp_update_extract(__pyx_v_v1, __pyx_v_vs);

      /* "scipy/linalg/_decomp_update.pyx":2493
 *             rptr = extract(r1, rs)
 *             vptr = extract(v1, vs)
 *             with nogil:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
 *                     qr_rank_1_update(m, n, <float*>qptr, qs,
 */
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          #ifdef WITH_THREAD
          PyThreadState *_save;
          Py_UNBLOCK_THREADS
          #endif
          /*try:*/ {

            /* "scipy/linalg/_decomp_update.pyx":2494
 *             vptr = extract(v1, vs)
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     qr_rank_1_update(m, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>qTuptr, qTus,
 */
            switch (__pyx_v_typecode) {
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              /* "scipy/linalg/_decomp_update.pyx":2495
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:
 *                     qr_rank_1_update(m, n, <float*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float*>rptr, rs, <float*>qTuptr, qTus,
 *                         <float*>vptr, vs)
 */
              __pyx_fuse_0__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(__pyx_v_m, __pyx_v_n, ((float *)__pyx_v_qptr), __pyx_v_qs, ((float *)__pyx_v_rptr), __pyx_v_rs, ((float *)__pyx_v_qTuptr), __pyx_v_qTus, ((float *)__pyx_v_vptr), __pyx_v_vs);

              /* "scipy/linalg/_decomp_update.pyx":2494
 *             vptr = extract(v1, vs)
 *             with nogil:
 *                 if typecode == cnp.NPY_FLOAT:             # <<<<<<<<<<<<<<
 *                     qr_rank_1_update(m, n, <float*>qptr, qs,
 *                         <float*>rptr, rs, <float*>qTuptr, qTus,
 */
              break;

              /* "scipy/linalg/_decomp_update.pyx":2498
 *                         <float*>rptr, rs, <float*>qTuptr, qTus,
 *                         <float*>vptr, vs)
 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     qr_rank_1_update(m, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>qTuptr, qTus,
 */
              case NPY_DOUBLE:

              /* "scipy/linalg/_decomp_update.pyx":2499
 *                         <float*>vptr, vs)
 *                 elif typecode == cnp.NPY_DOUBLE:
 *                     qr_rank_1_update(m, n, <double*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <double*>rptr, rs, <double*>qTuptr, qTus,
 *                         <double*>vptr, vs)
 */
              __pyx_fuse_1__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(__pyx_v_m, __pyx_v_n, ((double *)__pyx_v_qptr), __pyx_v_qs, ((double *)__pyx_v_rptr), __pyx_v_rs, ((double *)__pyx_v_qTuptr), __pyx_v_qTus, ((double *)__pyx_v_vptr), __pyx_v_vs);

              /* "scipy/linalg/_decomp_update.pyx":2498
 *                         <float*>rptr, rs, <float*>qTuptr, qTus,
 *                         <float*>vptr, vs)
 *                 elif typecode == cnp.NPY_DOUBLE:             # <<<<<<<<<<<<<<
 *                     qr_rank_1_update(m, n, <double*>qptr, qs,
 *                         <double*>rptr, rs, <double*>qTuptr, qTus,
 */
              break;

              /* "scipy/linalg/_decomp_update.pyx":2502
 *                         <double*>rptr, rs, <double*>qTuptr, qTus,
 *                         <double*>vptr, vs)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     qr_rank_1_update(m, n, <float_complex*>qptr, qs,
 *                         <float_complex*>rptr, rs, <float_complex*>qTuptr, qTus,
 */
              case NPY_CFLOAT:

              /* "scipy/linalg/_decomp_update.pyx":2503
 *                         <double*>vptr, vs)
 *                 elif typecode == cnp.NPY_CFLOAT:
 *                     qr_rank_1_update(m, n, <float_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <float_complex*>rptr, rs, <float_complex*>qTuptr, qTus,
 *                         <float_complex*>vptr, vs)
 */
              __pyx_fuse_2__pyx_f_5scipy_6linalg_14_decomp_update_qr_rank_1_update(__pyx_v_m, __pyx_v_n, ((__pyx_t_float_complex *)__pyx_v_qptr), __pyx_v_qs, ((__pyx_t_float_complex *)__pyx_v_rptr), __pyx_v_rs, ((__pyx_t_float_complex *)__pyx_v_qTuptr), __pyx_v_qTus, ((__pyx_t_float_complex *)__pyx_v_vptr), __pyx_v_vs);

              /* "scipy/linalg/_decomp_update.pyx":2502
 *                         <double*>rptr, rs, <double*>qTuptr, qTus,
 *                         <double*>vptr, vs)
 *                 elif typecode == cnp.NPY_CFLOAT:             # <<<<<<<<<<<<<<
 *                     qr_rank_1_update(m, n, <float_complex*>qptr, qs,
 *                         <float_complex*>rptr, rs, <float_complex*>qTuptr, qTus,
 */
              break;
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              /* "scipy/linalg/_decomp_update.pyx":2507
 *                         <float_complex*>vptr, vs)
 *                 else:  # typecode == cnp.NPY_CDOUBLE:
 *                     qr_rank_1_update(m, n, <double_complex*>qptr, qs,             # <<<<<<<<<<<<<<
 *                         <double_complex*>rptr, rs, <double_complex*>qTuptr, qTus,
 *                         <double_complex*>vptr, vs)
 */
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              break;
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          }

          /* "scipy/linalg/_decomp_update.pyx":2493
 *             rptr = extract(r1, rs)
 *             vptr = extract(v1, vs)
 *             with nogil:             # <<<<<<<<<<<<<<
 *                 if typecode == cnp.NPY_FLOAT:
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 */
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              #ifdef WITH_THREAD
              Py_BLOCK_THREADS
              #endif
              goto __pyx_L37;
            }
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      /* "scipy/linalg/_decomp_update.pyx":2486
 *         qTu = cnp.PyArray_ZEROS(u1.ndim, u1.shape, typecode, 1)
 *         qTuptr = extract(qTu, qTus)
 *         if p == 1:             # <<<<<<<<<<<<<<
 *             if not cnp.PyArray_ISONESEGMENT(q1):
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 */
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    /* "scipy/linalg/_decomp_update.pyx":2511
 *                         <double_complex*>vptr, vs)
 *         else:
 *             if not cnp.PyArray_CHKFLAGS(q1, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):
 */
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        /* "scipy/linalg/_decomp_update.pyx":2512
 *         else:
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 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):
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 */
        __pyx_t_4 = ((PyObject *)PyArray_FromArray(__pyx_v_q1, NULL, NPY_F_CONTIGUOUS)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2512; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        /* "scipy/linalg/_decomp_update.pyx":2511
 *                         <double_complex*>vptr, vs)
 *         else:
 *             if not cnp.PyArray_CHKFLAGS(q1, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):
 */
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      /* "scipy/linalg/_decomp_update.pyx":2513
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 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 r1 = PyArray_FromArray(r1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_ISONESEGMENT(u1):
 */
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        /* "scipy/linalg/_decomp_update.pyx":2514
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):
 *                 r1 = PyArray_FromArray(r1, NULL, cnp.NPY_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *             if not cnp.PyArray_ISONESEGMENT(u1):
 *                 u1 = PyArray_FromArray(u1, NULL, cnp.NPY_F_CONTIGUOUS)
 */
        __pyx_t_4 = ((PyObject *)PyArray_FromArray(__pyx_v_r1, NULL, NPY_F_CONTIGUOUS)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2514; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        __Pyx_DECREF_SET(__pyx_v_r1, ((PyArrayObject *)__pyx_t_4));
        __pyx_t_4 = 0;

        /* "scipy/linalg/_decomp_update.pyx":2513
 *             if not cnp.PyArray_CHKFLAGS(q1, cnp.NPY_F_CONTIGUOUS):
 *                 q1 = PyArray_FromArray(q1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 r1 = PyArray_FromArray(r1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_ISONESEGMENT(u1):
 */
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      /* "scipy/linalg/_decomp_update.pyx":2515
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):
 *                 r1 = PyArray_FromArray(r1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_ISONESEGMENT(u1):             # <<<<<<<<<<<<<<
 *                 u1 = PyArray_FromArray(u1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             # v.T must be F contiguous --> v must be C contiguous
 */
      __pyx_t_2 = ((!(PyArray_ISONESEGMENT(__pyx_v_u1) != 0)) != 0);
      if (__pyx_t_2) {

        /* "scipy/linalg/_decomp_update.pyx":2516
 *                 r1 = PyArray_FromArray(r1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_ISONESEGMENT(u1):
 *                 u1 = PyArray_FromArray(u1, NULL, cnp.NPY_F_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *             # v.T must be F contiguous --> v must be C contiguous
 *             if not cnp.PyArray_CHKFLAGS(v1, cnp.NPY_C_CONTIGUOUS):
 */
        __pyx_t_4 = ((PyObject *)PyArray_FromArray(__pyx_v_u1, NULL, NPY_F_CONTIGUOUS)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2516; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        __Pyx_DECREF_SET(__pyx_v_u1, ((PyArrayObject *)__pyx_t_4));
        __pyx_t_4 = 0;

        /* "scipy/linalg/_decomp_update.pyx":2515
 *             if not cnp.PyArray_CHKFLAGS(r1, cnp.NPY_F_CONTIGUOUS):
 *                 r1 = PyArray_FromArray(r1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             if not cnp.PyArray_ISONESEGMENT(u1):             # <<<<<<<<<<<<<<
 *                 u1 = PyArray_FromArray(u1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             # v.T must be F contiguous --> v must be C contiguous
 */
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      /* "scipy/linalg/_decomp_update.pyx":2518
 *                 u1 = PyArray_FromArray(u1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             # v.T must be F contiguous --> v must be C contiguous
 *             if not cnp.PyArray_CHKFLAGS(v1, cnp.NPY_C_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 v1 = PyArray_FromArray(v1, NULL, cnp.NPY_C_CONTIGUOUS)
 *             v1 = v1.T
 */
      __pyx_t_2 = ((!(PyArray_CHKFLAGS(__pyx_v_v1, NPY_C_CONTIGUOUS) != 0)) != 0);
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        /* "scipy/linalg/_decomp_update.pyx":2519
 *             # v.T must be F contiguous --> v must be C contiguous
 *             if not cnp.PyArray_CHKFLAGS(v1, cnp.NPY_C_CONTIGUOUS):
 *                 v1 = PyArray_FromArray(v1, NULL, cnp.NPY_C_CONTIGUOUS)             # <<<<<<<<<<<<<<
 *             v1 = v1.T
 *             form_qTu(q1, u1, qTuptr, qTus, 0)
 */
        __pyx_t_4 = ((PyObject *)PyArray_FromArray(__pyx_v_v1, NULL, NPY_C_CONTIGUOUS)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2519; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_4);
        __Pyx_DECREF_SET(__pyx_v_v1, ((PyArrayObject *)__pyx_t_4));
        __pyx_t_4 = 0;

        /* "scipy/linalg/_decomp_update.pyx":2518
 *                 u1 = PyArray_FromArray(u1, NULL, cnp.NPY_F_CONTIGUOUS)
 *             # v.T must be F contiguous --> v must be C contiguous
 *             if not cnp.PyArray_CHKFLAGS(v1, cnp.NPY_C_CONTIGUOUS):             # <<<<<<<<<<<<<<
 *                 v1 = PyArray_FromArray(v1, NULL, cnp.NPY_C_CONTIGUOUS)
 *             v1 = v1.T
 */
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      /* "scipy/linalg/_decomp_update.pyx":2520
 *             if not cnp.PyArray_CHKFLAGS(v1, cnp.NPY_C_CONTIGUOUS):
 *                 v1 = PyArray_FromArray(v1, NULL, cnp.NPY_C_CONTIGUOUS)
 *             v1 = v1.T             # <<<<<<<<<<<<<<
 *             form_qTu(q1, u1, qTuptr, qTus, 0)
 *             qptr = extract(q1, qs)
 */
      __pyx_t_4 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_v1), __pyx_n_s_T); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2520; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_GOTREF(__pyx_t_4);
      if (!(likely(((__pyx_t_4) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_4, __pyx_ptype_5numpy_ndarray))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2520; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
      __Pyx_DECREF_SET(__pyx_v_v1, ((PyArrayObject *)__pyx_t_4));
      __pyx_t_4 = 0;

      /* "scipy/linalg/_decomp_update.pyx":2521
 *                 v1 = PyArray_FromArray(v1, NULL, cnp.NPY_C_CONTIGUOUS)
 *             v1 = v1.T
 *             form_qTu(q1, u1, qTuptr, qTus, 0)             # <<<<<<<<<<<<<<
 *             qptr = extract(q1, qs)
 *             rptr = extract(r1, rs)
 */
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  __pyx_tuple__15 = PyTuple_Pack(1, __pyx_kp_s_Q_and_R_must_have_the_same_dtype); if (unlikely(!__pyx_tuple__15)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1464; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__16);

  /* "scipy/linalg/_decomp_update.pyx":1623
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  __Pyx_GOTREF(__pyx_tuple__17);
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  /* "scipy/linalg/_decomp_update.pyx":1627
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  __Pyx_GIVEREF(__pyx_slice__19);

  /* "scipy/linalg/_decomp_update.pyx":1665
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  __Pyx_GOTREF(__pyx_tuple__20);
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  /* "scipy/linalg/_decomp_update.pyx":1667
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  __Pyx_GIVEREF(__pyx_tuple__21);

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  __Pyx_GIVEREF(__pyx_slice__22);

  /* "scipy/linalg/_decomp_update.pyx":1697
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  /* "scipy/linalg/_decomp_update.pyx":1701
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 *         qptr = extract(q1, qs)
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  /* "scipy/linalg/_decomp_update.pyx":1734
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  __Pyx_GIVEREF(__pyx_tuple__25);

  /* "scipy/linalg/_decomp_update.pyx":1736
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  __pyx_slice__26 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__26)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1736; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_slice__26);

  /* "scipy/linalg/_decomp_update.pyx":1738
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  /* "scipy/linalg/_decomp_update.pyx":1740
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 * @cython.embedsignature(True)
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  __Pyx_GIVEREF(__pyx_tuple__28);

  /* "scipy/linalg/_decomp_update.pyx":1872
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  __pyx_tuple__29 = PyTuple_Pack(1, __pyx_kp_s_rcond_is_unused_when_inserting); if (unlikely(!__pyx_tuple__29)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1872; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__29);

  /* "scipy/linalg/_decomp_update.pyx":1878
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 * def qr_insert_row(Q, R, u, k, overwrite_qru, check_finite):
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  __pyx_tuple__30 = PyTuple_Pack(1, __pyx_kp_s_which_must_be_either_row_or_col); if (unlikely(!__pyx_tuple__30)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1878; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__30);

  /* "scipy/linalg/_decomp_update.pyx":1904
 * 
 *     if cnp.PyArray_TYPE(u1) != typecode:
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 *     if not (-m <= k1 <= m):
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  __pyx_tuple__31 = PyTuple_Pack(1, __pyx_kp_s_u_must_have_the_same_type_as_Q); if (unlikely(!__pyx_tuple__31)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1904; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__31);
  __Pyx_GIVEREF(__pyx_tuple__31);

  /* "scipy/linalg/_decomp_update.pyx":1907
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 *     if not (-m <= k1 <= m):
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 *     if k1 < 0:
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  __Pyx_GOTREF(__pyx_tuple__32);
  __Pyx_GIVEREF(__pyx_tuple__32);

  /* "scipy/linalg/_decomp_update.pyx":1925
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 *         raise ValueError("'u' must be either 1- or 2-D")             # <<<<<<<<<<<<<<
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 *     u1 = validate_array(u1, check_finite)
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  __Pyx_GIVEREF(__pyx_tuple__33);

  /* "scipy/linalg/_decomp_update.pyx":1980
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  __Pyx_GIVEREF(__pyx_slice__34);

  /* "scipy/linalg/_decomp_update.pyx":1988
 *         rnew = cnp.PyArray_ZEROS(2, shape, typecode, 1)
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 *         rnew[:m,:] = r1             # <<<<<<<<<<<<<<
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  __pyx_slice__35 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__35)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1988; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_slice__35);

  /* "scipy/linalg/_decomp_update.pyx":1989
 * 
 *         rnew[:m,:] = r1
 *         rnew[m:,:] = u1             # <<<<<<<<<<<<<<
 *         qnew[:-p,:-p] = q1;
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  __pyx_slice__36 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__36)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1989; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__36);
  __Pyx_GIVEREF(__pyx_slice__36);

  /* "scipy/linalg/_decomp_update.pyx":2025
 *                         <double_complex*>rptr, rs, k1, p)
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 *                 raise MemoryError('Unable to allocate memory for array')             # <<<<<<<<<<<<<<
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 */
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  __Pyx_GOTREF(__pyx_tuple__37);
  __Pyx_GIVEREF(__pyx_tuple__37);

  /* "scipy/linalg/_decomp_update.pyx":2057
 * 
 *     if cnp.PyArray_TYPE(u1) != typecode:
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 */
  __pyx_tuple__38 = PyTuple_Pack(1, __pyx_kp_s_u_must_have_the_same_type_as_Q_2); if (unlikely(!__pyx_tuple__38)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2057; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__38);

  /* "scipy/linalg/_decomp_update.pyx":2059
 *         raise ValueError("'u' must have the same type as Q and R")
 *     if not (-n <= k1 <= n):
 *         raise ValueError("'k' is out of bounds")             # <<<<<<<<<<<<<<
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 */
  __pyx_tuple__39 = PyTuple_Pack(1, __pyx_kp_s_k_is_out_of_bounds); if (unlikely(!__pyx_tuple__39)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2059; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__39);
  __Pyx_GIVEREF(__pyx_tuple__39);

  /* "scipy/linalg/_decomp_update.pyx":2076
 *                              str(getattr(u1, 'shape')))
 *     else:
 *         raise ValueError("'u' must be either 1- or 2-D")             # <<<<<<<<<<<<<<
 * 
 *     if rcond is not None and economic:
 */
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  __Pyx_GOTREF(__pyx_tuple__40);
  __Pyx_GIVEREF(__pyx_tuple__40);

  /* "scipy/linalg/_decomp_update.pyx":2084
 *             frc = rcond
 *     elif rcond is not None:
 *         raise ValueError("'rcond' is not used when updating full, (M,M) (M,N) "             # <<<<<<<<<<<<<<
 *                          "decompositions and must be None.")
 * 
 */
  __pyx_tuple__41 = PyTuple_Pack(1, __pyx_kp_s_rcond_is_not_used_when_updating); if (unlikely(!__pyx_tuple__41)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2084; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__41);
  __Pyx_GIVEREF(__pyx_tuple__41);

  /* "scipy/linalg/_decomp_update.pyx":2105
 *         shape[1] = n+p_eco
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 * 
 *         shape[0] = n+p_eco
 */
  __pyx_slice__42 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__42)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2105; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__42);
  __Pyx_GIVEREF(__pyx_slice__42);

  /* "scipy/linalg/_decomp_update.pyx":2110
 *         shape[1] = n+p
 *         rnew = cnp.PyArray_ZEROS(2, shape, typecode, 1)
 *         rnew[:n,:k1] = r1[:,:k1]             # <<<<<<<<<<<<<<
 *         rnew[:n,k1+p:] = r1[:,k1:]
 *         u1 = validate_array(u1, check_finite)
 */
  __pyx_slice__43 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__43)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2110; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__43);
  __Pyx_GIVEREF(__pyx_slice__43);

  /* "scipy/linalg/_decomp_update.pyx":2111
 *         rnew = cnp.PyArray_ZEROS(2, shape, typecode, 1)
 *         rnew[:n,:k1] = r1[:,:k1]
 *         rnew[:n,k1+p:] = r1[:,k1:]             # <<<<<<<<<<<<<<
 *         u1 = validate_array(u1, check_finite)
 *         qptr = extract(qnew, qs)
 */
  __pyx_slice__44 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__44)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2111; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__44);
  __Pyx_GIVEREF(__pyx_slice__44);

  /* "scipy/linalg/_decomp_update.pyx":2150
 *         rnew = cnp.PyArray_ZEROS(2, shape, typecode, 1)
 * 
 *         rnew[:,:k1] = r1[:,:k1]             # <<<<<<<<<<<<<<
 *         rnew[:,k1+p:] = r1[:,k1:]
 * 
 */
  __pyx_slice__45 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__45)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2150; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__45);
  __Pyx_GIVEREF(__pyx_slice__45);
  __pyx_slice__46 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__46)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2150; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__46);
  __Pyx_GIVEREF(__pyx_slice__46);

  /* "scipy/linalg/_decomp_update.pyx":2151
 * 
 *         rnew[:,:k1] = r1[:,:k1]
 *         rnew[:,k1+p:] = r1[:,k1:]             # <<<<<<<<<<<<<<
 * 
 *         u1 = validate_array(u1, check_finite)
 */
  __pyx_slice__47 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__47)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2151; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__47);
  __Pyx_GIVEREF(__pyx_slice__47);
  __pyx_slice__48 = PySlice_New(Py_None, Py_None, Py_None); if (unlikely(!__pyx_slice__48)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2151; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_slice__48);
  __Pyx_GIVEREF(__pyx_slice__48);

  /* "scipy/linalg/_decomp_update.pyx":2157
 *         form_qTu(q1, u1, rptr, rs, k1)
 *         if not overwrite_qru:
 *             q1 = q1.copy('F')             # <<<<<<<<<<<<<<
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 *         qptr = extract(q1, qs)
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  __pyx_tuple__49 = PyTuple_Pack(1, __pyx_n_s_F); if (unlikely(!__pyx_tuple__49)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 2157; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__49);

  /* "scipy/linalg/_decomp_update.pyx":2196
 *                             'invalid'.format(abs(info)))
 *                 elif info == MEMORY_ERROR:
 *                     raise MemoryError("Unable to allocate memory for array")             # <<<<<<<<<<<<<<
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  __Pyx_GIVEREF(__pyx_tuple__62);

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 *         if ((child.byteorder == c'>' and little_endian) or
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 * def _reorth(cnp.ndarray q, cnp.ndarray u, rcond):             # <<<<<<<<<<<<<<
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  __Pyx_GIVEREF(__pyx_tuple__72);
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  __Pyx_GIVEREF(__pyx_tuple__74);
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 * 
 * @cython.embedsignature(True)
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  __Pyx_GOTREF(__pyx_tuple__76);
  __Pyx_GIVEREF(__pyx_tuple__76);
  __pyx_codeobj__77 = (PyObject*)__Pyx_PyCode_New(8, 0, 8, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__76, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_home_br_repos_scipy_scipy_linal, __pyx_n_s_qr_insert, 1743, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__77)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1743; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

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 *         return qnew, rnew
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 * def qr_insert_col(Q, R, u, k, rcond, overwrite_qru, check_finite):             # <<<<<<<<<<<<<<
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  if (__Pyx_ImportFunction(__pyx_t_1, "dznrm2", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_dznrm2, "__pyx_t_5scipy_6linalg_11cython_blas_d (int *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "saxpy", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_saxpy, "void (int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "scnrm2", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_scnrm2, "__pyx_t_5scipy_6linalg_11cython_blas_s (int *, __pyx_t_float_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "scopy", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_scopy, "void (int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "sgemm", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_sgemm, "void (char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "sgemv", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_sgemv, "void (char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "sger", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_sger, "void (int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "snrm2", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_snrm2, "__pyx_t_5scipy_6linalg_11cython_blas_s (int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "srot", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_srot, "void (int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "sscal", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_sscal, "void (int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "sswap", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_sswap, "void (int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "strmm", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_strmm, "void (char *, char *, char *, char *, int *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *, __pyx_t_5scipy_6linalg_11cython_blas_s *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "zaxpy", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_zaxpy, "void (int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "zcopy", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_zcopy, "void (int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "zgemm", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_zgemm, "void (char *, char *, int *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "zgemv", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_zgemv, "void (char *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "zgeru", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_zgeru, "void (int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "zscal", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_zscal, "void (int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "zswap", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_zswap, "void (int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_1, "ztrmm", (void (**)(void))&__pyx_f_5scipy_6linalg_11cython_blas_ztrmm, "void (char *, char *, char *, char *, int *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  if (__Pyx_ImportFunction(__pyx_t_2, "cgeqrf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_cgeqrf, "void (int *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "clarf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_clarf, "void (char *, int *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "clarfg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_clarfg, "void (int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "clartg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_clartg, "void (__pyx_t_float_complex *, __pyx_t_float_complex *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_float_complex *, __pyx_t_float_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "crot", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_crot, "void (int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_float_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "cunmqr", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_cunmqr, "void (char *, char *, int *, int *, int *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, __pyx_t_float_complex *, int *, __pyx_t_float_complex *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "dgeqrf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_dgeqrf, "void (int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "dlarf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_dlarf, "void (char *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "dlarfg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_dlarfg, "void (int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "dlartg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_dlartg, "void (__pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "dormqr", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_dormqr, "void (char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "sgeqrf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_sgeqrf, "void (int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "slarf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_slarf, "void (char *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "slarfg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_slarfg, "void (int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "slartg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_slartg, "void (__pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "sormqr", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_sormqr, "void (char *, char *, int *, int *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_s *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "zgeqrf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_zgeqrf, "void (int *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "zlarf", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_zlarf, "void (char *, int *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "zlarfg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_zlarfg, "void (int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "zlartg", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_zlartg, "void (__pyx_t_double_complex *, __pyx_t_double_complex *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_double_complex *, __pyx_t_double_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "zrot", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_zrot, "void (int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, __pyx_t_5scipy_6linalg_13cython_lapack_d *, __pyx_t_double_complex *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  if (__Pyx_ImportFunction(__pyx_t_2, "zunmqr", (void (**)(void))&__pyx_f_5scipy_6linalg_13cython_lapack_zunmqr, "void (char *, char *, int *, int *, int *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, __pyx_t_double_complex *, int *, __pyx_t_double_complex *, int *, int *)") < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  Py_DECREF(__pyx_t_2); __pyx_t_2 = 0;
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  /* "scipy/linalg/_decomp_update.pyx":35
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    return -1;
}

static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) {
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
}
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (likely(Py_TYPE(obj) == type)) return 1;
        #if PY_MAJOR_VERSION == 2
        else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(PyObject_TypeCheck(obj, type))) return 1;
    }
    __Pyx_RaiseArgumentTypeInvalid(name, obj, type);
    return 0;
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
#if PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(PyObject_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (PyErr_ExceptionMatches(PyExc_OverflowError))
                    PyErr_Clear();
                else
                    goto bad;
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_COMPILING_IN_CPYTHON
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

static CYTHON_INLINE npy_intp __Pyx_div_npy_intp(npy_intp a, npy_intp b) {
    npy_intp q = a / b;
    npy_intp r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_COMPILING_IN_CPYTHON
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    py_code = __pyx_find_code_object(c_line ? c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
#endif

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_int(unsigned int value) {
    const unsigned int neg_one = (unsigned int) -1, const_zero = (unsigned int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(unsigned int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(unsigned int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(unsigned int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(unsigned int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(unsigned int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(unsigned int),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

#ifndef __PYX_HAVE_RT_ImportFunction
#define __PYX_HAVE_RT_ImportFunction
static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, funcname);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C function %.200s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
#else
    {const char *desc, *s1, *s2;
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, desc);
        goto bad;
    }
    tmp.p = PyCObject_AsVoidPtr(cobj);}
#endif
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
