/* Generated by Cython 0.15.1 on Sun Jul 22 15:38:24 2012 */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#else

#include <stddef.h> /* For offsetof */
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#define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
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  #define PyDict_Contains(d,o)   PySequence_Contains(d,o)
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#if PY_VERSION_HEX < 0x02050000
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  #define PY_FORMAT_SIZE_T ""
  #define PyInt_FromSsize_t(z) PyInt_FromLong(z)
  #define PyInt_AsSsize_t(o)   __Pyx_PyInt_AsInt(o)
  #define PyNumber_Index(o)    PyNumber_Int(o)
  #define PyIndex_Check(o)     PyNumber_Check(o)
  #define PyErr_WarnEx(category, message, stacklevel) PyErr_Warn(category, message)
#endif

#if PY_VERSION_HEX < 0x02060000
  #define Py_REFCNT(ob) (((PyObject*)(ob))->ob_refcnt)
  #define Py_TYPE(ob)   (((PyObject*)(ob))->ob_type)
  #define Py_SIZE(ob)   (((PyVarObject*)(ob))->ob_size)
  #define PyVarObject_HEAD_INIT(type, size) \
          PyObject_HEAD_INIT(type) size,
  #define PyType_Modified(t)

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  #define PyBUF_F_CONTIGUOUS (0x0040 | PyBUF_STRIDES)
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  #define PyBUF_INDIRECT (0x0100 | PyBUF_STRIDES)

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#if PY_MAJOR_VERSION < 3
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  #define Py_TPFLAGS_HAVE_INDEX 0
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#if (PY_VERSION_HEX < 0x02060000) || (PY_MAJOR_VERSION >= 3)
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
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#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
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  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
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#if PY_VERSION_HEX < 0x02060000
  #define PyBytesObject                PyStringObject
  #define PyBytes_Type                 PyString_Type
  #define PyBytes_Check                PyString_Check
  #define PyBytes_CheckExact           PyString_CheckExact
  #define PyBytes_FromString           PyString_FromString
  #define PyBytes_FromStringAndSize    PyString_FromStringAndSize
  #define PyBytes_FromFormat           PyString_FromFormat
  #define PyBytes_DecodeEscape         PyString_DecodeEscape
  #define PyBytes_AsString             PyString_AsString
  #define PyBytes_AsStringAndSize      PyString_AsStringAndSize
  #define PyBytes_Size                 PyString_Size
  #define PyBytes_AS_STRING            PyString_AS_STRING
  #define PyBytes_GET_SIZE             PyString_GET_SIZE
  #define PyBytes_Repr                 PyString_Repr
  #define PyBytes_Concat               PyString_Concat
  #define PyBytes_ConcatAndDel         PyString_ConcatAndDel
#endif

#if PY_VERSION_HEX < 0x02060000
  #define PySet_Check(obj)             PyObject_TypeCheck(obj, &PySet_Type)
  #define PyFrozenSet_Check(obj)       PyObject_TypeCheck(obj, &PyFrozenSet_Type)
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#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
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#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)

#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
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#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif

#if PY_VERSION_HEX < 0x03020000
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
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  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif

#if (PY_MAJOR_VERSION < 3) || (PY_VERSION_HEX >= 0x03010300)
  #define __Pyx_PySequence_GetSlice(obj, a, b) PySequence_GetSlice(obj, a, b)
  #define __Pyx_PySequence_SetSlice(obj, a, b, value) PySequence_SetSlice(obj, a, b, value)
  #define __Pyx_PySequence_DelSlice(obj, a, b) PySequence_DelSlice(obj, a, b)
#else
  #define __Pyx_PySequence_GetSlice(obj, a, b) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), (PyObject*)0) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_GetSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object is unsliceable", (obj)->ob_type->tp_name), (PyObject*)0)))
  #define __Pyx_PySequence_SetSlice(obj, a, b, value) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
  #define __Pyx_PySequence_DelSlice(obj, a, b) (unlikely(!(obj)) ? \
        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
#endif

#if PY_MAJOR_VERSION >= 3
  #define PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
#endif

#if PY_VERSION_HEX < 0x02050000
  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),((char *)(n)))
#else
  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),(n))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),(n),(a))
  #define __Pyx_DelAttrString(o,n)   PyObject_DelAttrString((o),(n))
#endif

#if PY_VERSION_HEX < 0x02050000
  #define __Pyx_NAMESTR(n) ((char *)(n))
  #define __Pyx_DOCSTR(n)  ((char *)(n))
#else
  #define __Pyx_NAMESTR(n) (n)
  #define __Pyx_DOCSTR(n)  (n)
#endif

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
#define _USE_MATH_DEFINES
#endif
#include <math.h>
#define __PYX_HAVE__pandas___sparse
#define __PYX_HAVE_API__pandas___sparse
#include "stdio.h"
#include "stdlib.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


/* inline attribute */
#ifndef CYTHON_INLINE
  #if defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

/* unused attribute */
#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)
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif

typedef struct {PyObject **p; char *s; const long n; const char* encoding; const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/


/* Type Conversion Predeclarations */

#define __Pyx_PyBytes_FromUString(s) PyBytes_FromString((char*)s)
#define __Pyx_PyBytes_AsUString(s)   ((unsigned char*) PyBytes_AsString(s))

#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), 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);
static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);

#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))


#ifdef __GNUC__
  /* Test for GCC > 2.95 */
  #if __GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
  #else /* __GNUC__ > 2 ... */
    #define likely(x)   (x)
    #define unlikely(x) (x)
  #endif /* __GNUC__ > 2 ... */
#else /* __GNUC__ */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
    
static PyObject *__pyx_m;
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[] = {
  "sparse.pyx",
  "numpy.pxd",
};

/* "numpy.pxd":724
 * # 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;

/* "numpy.pxd":725
 * 
 * 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;

/* "numpy.pxd":726
 * 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;

/* "numpy.pxd":727
 * 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;

/* "numpy.pxd":731
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "numpy.pxd":732
 * 
 * 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;

/* "numpy.pxd":733
 * 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
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "numpy.pxd":734
 * 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
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "numpy.pxd":738
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "numpy.pxd":739
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "numpy.pxd":748
 * # The int types are mapped a bit surprising --
 * # 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
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "numpy.pxd":749
 * # 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
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "numpy.pxd":750
 * 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;

/* "numpy.pxd":752
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "numpy.pxd":753
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "numpy.pxd":754
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "numpy.pxd":756
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "numpy.pxd":757
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "numpy.pxd":759
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "numpy.pxd":760
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "numpy.pxd":761
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif

/*--- Type declarations ---*/
struct __pyx_obj_6pandas_7_sparse_BlockMerge;
struct __pyx_obj_6pandas_7_sparse_SparseIndex;
struct __pyx_obj_6pandas_7_sparse_BlockIndex;
struct __pyx_obj_6pandas_7_sparse_IntIndex;
struct __pyx_obj_6pandas_7_sparse_BlockIntersection;
struct __pyx_obj_6pandas_7_sparse_BlockUnion;

/* "numpy.pxd":763
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "numpy.pxd":764
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "numpy.pxd":765
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "numpy.pxd":767
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;

/* "pandas/src/sparse.pyx":688
 * # Sparse arithmetic
 * 
 * ctypedef float64_t (* double_func)(float64_t a, float64_t b)             # <<<<<<<<<<<<<<
 * 
 * cdef inline tuple sparse_nancombine(ndarray x, SparseIndex xindex,
 */
typedef __pyx_t_5numpy_float64_t (*__pyx_t_6pandas_7_sparse_double_func)(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t);

/* "pandas/src/sparse.pyx":527
 * 
 * 
 * cdef class BlockMerge(object):             # <<<<<<<<<<<<<<
 *     '''
 *     Object-oriented approach makes sharing state between recursive functions a
 */
struct __pyx_obj_6pandas_7_sparse_BlockMerge {
  PyObject_HEAD
  struct __pyx_vtabstruct_6pandas_7_sparse_BlockMerge *__pyx_vtab;
  struct __pyx_obj_6pandas_7_sparse_BlockIndex *x;
  struct __pyx_obj_6pandas_7_sparse_BlockIndex *y;
  struct __pyx_obj_6pandas_7_sparse_BlockIndex *result;
  PyArrayObject *xstart;
  PyArrayObject *xlen;
  PyArrayObject *xend;
  PyArrayObject *ystart;
  PyArrayObject *ylen;
  PyArrayObject *yend;
  __pyx_t_5numpy_int32_t xi;
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/* "pandas/src/sparse.pyx":25
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struct __pyx_obj_6pandas_7_sparse_SparseIndex {
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/* "pandas/src/sparse.pyx":259
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struct __pyx_obj_6pandas_7_sparse_BlockIndex {
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/* "pandas/src/sparse.pyx":33
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 *     '''
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struct __pyx_obj_6pandas_7_sparse_IntIndex {
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/* "pandas/src/sparse.pyx":569
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 */
struct __pyx_obj_6pandas_7_sparse_BlockIntersection {
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};


/* "pandas/src/sparse.pyx":575
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struct __pyx_obj_6pandas_7_sparse_BlockUnion {
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/* "pandas/src/sparse.pyx":527
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struct __pyx_vtabstruct_6pandas_7_sparse_BlockMerge {
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/* "pandas/src/sparse.pyx":569
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 * 
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 */

struct __pyx_vtabstruct_6pandas_7_sparse_BlockIntersection {
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/* "pandas/src/sparse.pyx":575
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struct __pyx_vtabstruct_6pandas_7_sparse_BlockUnion {
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static struct __pyx_vtabstruct_6pandas_7_sparse_BlockUnion *__pyx_vtabptr_6pandas_7_sparse_BlockUnion;


/* "pandas/src/sparse.pyx":259
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/* "pandas/src/sparse.pyx":33
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static PyTypeObject *__pyx_ptype_6pandas_7_sparse_BlockMerge = 0;
static PyTypeObject *__pyx_ptype_6pandas_7_sparse_BlockIntersection = 0;
static PyTypeObject *__pyx_ptype_6pandas_7_sparse_BlockUnion = 0;
static __pyx_t_5numpy_float64_t __pyx_v_6pandas_7_sparse_NaN;
static __pyx_t_5numpy_float64_t __pyx_v_6pandas_7_sparse_INF;
static CYTHON_INLINE int __pyx_f_6pandas_7_sparse_int_max(int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_7_sparse_int_min(int, int); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_get_blocks(PyArrayObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_7_sparse_sparse_nancombine(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_6pandas_7_sparse_double_func); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_7_sparse_sparse_combine(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, __pyx_t_6pandas_7_sparse_double_func); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_7_sparse_block_nanop(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_BlockIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_BlockIndex *, __pyx_t_6pandas_7_sparse_double_func); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_7_sparse_int_nanop(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_IntIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_IntIndex *, __pyx_t_6pandas_7_sparse_double_func); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_7_sparse_block_op(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_BlockIndex *, __pyx_t_5numpy_float64_t, __pyx_t_6pandas_7_sparse_double_func); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_7_sparse_int_op(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_IntIndex *, __pyx_t_5numpy_float64_t, __pyx_t_6pandas_7_sparse_double_func); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___add(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___sub(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___rsub(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___div(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___rdiv(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___floordiv(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___rfloordiv(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___mul(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___eq(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___ne(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___lt(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___gt(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___pow(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_7_sparse___rpow(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanadd(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nansub(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanrsub(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanmul(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nandiv(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanrdiv(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanfloordiv(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanrfloordiv(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanpow(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_nanrpow(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_add(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_sub(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_rsub(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_mul(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_div(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_rdiv(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_floordiv(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_rfloordiv(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_pow(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_7_sparse_sparse_rpow(PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_7_sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t = { "int32_t", NULL, sizeof(__pyx_t_5numpy_int32_t), 'I' };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t = { "float64_t", NULL, sizeof(__pyx_t_5numpy_float64_t), 'R' };
static __Pyx_TypeInfo __Pyx_TypeInfo_object = { "Python object", NULL, sizeof(PyObject *), 'O' };
#define __Pyx_MODULE_NAME "pandas._sparse"
int __pyx_module_is_main_pandas___sparse = 0;

/* Implementation of 'pandas._sparse' */
static PyObject *__pyx_builtin_property;
static PyObject *__pyx_builtin_NotImplementedError;
static PyObject *__pyx_builtin_Exception;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_RuntimeError;
static char __pyx_k_1[] = "IntIndex\n";
static char __pyx_k_2[] = "Indices: %s\n";
static char __pyx_k_3[] = "Indices must reference same underlying length";
static char __pyx_k_6[] = "BlockIndex\n";
static char __pyx_k_7[] = "Block locations: %s\n";
static char __pyx_k_8[] = "Block lengths: %s";
static char __pyx_k_9[] = "block bound arrays must be same length";
static char __pyx_k_11[] = "Locations not in ascending order";
static char __pyx_k_13[] = "Block %d overlaps";
static char __pyx_k_14[] = "Block %d extends beyond end";
static char __pyx_k_15[] = "Zero-length block %d";
static char __pyx_k_18[] = "Mode must be 0 or 1";
static char __pyx_k_20[] = "ndarray is not C contiguous";
static char __pyx_k_22[] = "ndarray is not Fortran contiguous";
static char __pyx_k_24[] = "Non-native byte order not supported";
static char __pyx_k_26[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_27[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_30[] = "Format string allocated too short.";
static char __pyx_k_32[] = "pandas._sparse";
static char __pyx_k__B[] = "B";
static char __pyx_k__H[] = "H";
static char __pyx_k__I[] = "I";
static char __pyx_k__L[] = "L";
static char __pyx_k__O[] = "O";
static char __pyx_k__Q[] = "Q";
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__l[] = "l";
static char __pyx_k__q[] = "q";
static char __pyx_k__x[] = "x";
static char __pyx_k__y[] = "y";
static char __pyx_k__Zd[] = "Zd";
static char __pyx_k__Zf[] = "Zf";
static char __pyx_k__Zg[] = "Zg";
static char __pyx_k__np[] = "np";
static char __pyx_k__NaN[] = "NaN";
static char __pyx_k__inf[] = "inf";
static char __pyx_k__put[] = "put";
static char __pyx_k__sum[] = "sum";
static char __pyx_k__sys[] = "sys";
static char __pyx_k__fill[] = "fill";
static char __pyx_k__take[] = "take";
static char __pyx_k__blocs[] = "blocs";
static char __pyx_k__dtype[] = "dtype";
static char __pyx_k__empty[] = "empty";
static char __pyx_k__int32[] = "int32";
static char __pyx_k__ngaps[] = "ngaps";
static char __pyx_k__numpy[] = "numpy";
static char __pyx_k__range[] = "range";
static char __pyx_k__xfill[] = "xfill";
static char __pyx_k__yfill[] = "yfill";
static char __pyx_k__length[] = "length";
static char __pyx_k__lookup[] = "lookup";
static char __pyx_k__other_[] = "other_";
static char __pyx_k__to_put[] = "to_put";
static char __pyx_k__values[] = "values";
static char __pyx_k__xindex[] = "xindex";
static char __pyx_k__yindex[] = "yindex";
static char __pyx_k__float64[] = "float64";
static char __pyx_k__indexer[] = "indexer";
static char __pyx_k__indices[] = "indices";
static char __pyx_k__reindex[] = "reindex";
static char __pyx_k____main__[] = "__main__";
static char __pyx_k____test__[] = "__test__";
static char __pyx_k__blengths[] = "blengths";
static char __pyx_k__operator[] = "operator";
static char __pyx_k__property[] = "property";
static char __pyx_k__Exception[] = "Exception";
static char __pyx_k__index_map[] = "index_map";
static char __pyx_k__intersect[] = "intersect";
static char __pyx_k__ValueError[] = "ValueError";
static char __pyx_k__fill_value[] = "fill_value";
static char __pyx_k__make_union[] = "make_union";
static char __pyx_k__sparse_div[] = "sparse_div";
static char __pyx_k__array_equal[] = "array_equal";
static char __pyx_k__sparse_rdiv[] = "sparse_rdiv";
static char __pyx_k__RuntimeError[] = "RuntimeError";
static char __pyx_k__searchsorted[] = "searchsorted";
static char __pyx_k__sparse_index[] = "sparse_index";
static char __pyx_k__to_int_index[] = "to_int_index";
static char __pyx_k__get_reindexer[] = "get_reindexer";
static char __pyx_k__sparse_nandiv[] = "sparse_nandiv";
static char __pyx_k__sparse_nanrdiv[] = "sparse_nanrdiv";
static char __pyx_k__sparse_truediv[] = "sparse_truediv";
static char __pyx_k__to_block_index[] = "to_block_index";
static char __pyx_k__check_integrity[] = "check_integrity";
static char __pyx_k__reindex_integer[] = "reindex_integer";
static char __pyx_k__sparse_rtruediv[] = "sparse_rtruediv";
static char __pyx_k__ascontiguousarray[] = "ascontiguousarray";
static char __pyx_k__sparse_nantruediv[] = "sparse_nantruediv";
static char __pyx_k__sparse_nanrtruediv[] = "sparse_nanrtruediv";
static char __pyx_k__NotImplementedError[] = "NotImplementedError";
static PyObject *__pyx_n_s_1;
static PyObject *__pyx_kp_s_11;
static PyObject *__pyx_kp_s_13;
static PyObject *__pyx_kp_s_14;
static PyObject *__pyx_kp_s_15;
static PyObject *__pyx_kp_s_18;
static PyObject *__pyx_kp_s_2;
static PyObject *__pyx_kp_u_20;
static PyObject *__pyx_kp_u_22;
static PyObject *__pyx_kp_u_24;
static PyObject *__pyx_kp_u_26;
static PyObject *__pyx_kp_u_27;
static PyObject *__pyx_kp_s_3;
static PyObject *__pyx_kp_u_30;
static PyObject *__pyx_n_s_32;
static PyObject *__pyx_n_s_6;
static PyObject *__pyx_kp_s_7;
static PyObject *__pyx_kp_s_8;
static PyObject *__pyx_kp_s_9;
static PyObject *__pyx_n_s__Exception;
static PyObject *__pyx_n_s__NaN;
static PyObject *__pyx_n_s__NotImplementedError;
static PyObject *__pyx_n_s__RuntimeError;
static PyObject *__pyx_n_s__ValueError;
static PyObject *__pyx_n_s____main__;
static PyObject *__pyx_n_s____test__;
static PyObject *__pyx_n_s__array_equal;
static PyObject *__pyx_n_s__ascontiguousarray;
static PyObject *__pyx_n_s__blengths;
static PyObject *__pyx_n_s__blocs;
static PyObject *__pyx_n_s__check_integrity;
static PyObject *__pyx_n_s__dtype;
static PyObject *__pyx_n_s__empty;
static PyObject *__pyx_n_s__fill;
static PyObject *__pyx_n_s__fill_value;
static PyObject *__pyx_n_s__float64;
static PyObject *__pyx_n_s__get_reindexer;
static PyObject *__pyx_n_s__index_map;
static PyObject *__pyx_n_s__indexer;
static PyObject *__pyx_n_s__indices;
static PyObject *__pyx_n_s__inf;
static PyObject *__pyx_n_s__int32;
static PyObject *__pyx_n_s__intersect;
static PyObject *__pyx_n_s__length;
static PyObject *__pyx_n_s__lookup;
static PyObject *__pyx_n_s__make_union;
static PyObject *__pyx_n_s__ngaps;
static PyObject *__pyx_n_s__np;
static PyObject *__pyx_n_s__numpy;
static PyObject *__pyx_n_s__operator;
static PyObject *__pyx_n_s__other_;
static PyObject *__pyx_n_s__property;
static PyObject *__pyx_n_s__put;
static PyObject *__pyx_n_s__range;
static PyObject *__pyx_n_s__reindex;
static PyObject *__pyx_n_s__reindex_integer;
static PyObject *__pyx_n_s__searchsorted;
static PyObject *__pyx_n_s__sparse_div;
static PyObject *__pyx_n_s__sparse_index;
static PyObject *__pyx_n_s__sparse_nandiv;
static PyObject *__pyx_n_s__sparse_nanrdiv;
static PyObject *__pyx_n_s__sparse_nanrtruediv;
static PyObject *__pyx_n_s__sparse_nantruediv;
static PyObject *__pyx_n_s__sparse_rdiv;
static PyObject *__pyx_n_s__sparse_rtruediv;
static PyObject *__pyx_n_s__sparse_truediv;
static PyObject *__pyx_n_s__sum;
static PyObject *__pyx_n_s__sys;
static PyObject *__pyx_n_s__take;
static PyObject *__pyx_n_s__to_block_index;
static PyObject *__pyx_n_s__to_int_index;
static PyObject *__pyx_n_s__to_put;
static PyObject *__pyx_n_s__values;
static PyObject *__pyx_n_s__x;
static PyObject *__pyx_n_s__xfill;
static PyObject *__pyx_n_s__xindex;
static PyObject *__pyx_n_s__y;
static PyObject *__pyx_n_s__yfill;
static PyObject *__pyx_n_s__yindex;
static PyObject *__pyx_int_neg_1;
static PyObject *__pyx_int_15;
static PyObject *__pyx_k_tuple_4;
static PyObject *__pyx_k_tuple_5;
static PyObject *__pyx_k_tuple_10;
static PyObject *__pyx_k_tuple_12;
static PyObject *__pyx_k_tuple_16;
static PyObject *__pyx_k_tuple_17;
static PyObject *__pyx_k_tuple_19;
static PyObject *__pyx_k_tuple_21;
static PyObject *__pyx_k_tuple_23;
static PyObject *__pyx_k_tuple_25;
static PyObject *__pyx_k_tuple_28;
static PyObject *__pyx_k_tuple_29;
static PyObject *__pyx_k_tuple_31;

/* "pandas/src/sparse.pyx":19
 * cdef float64_t INF = <float64_t> np.inf
 * 
 * cdef inline int int_max(int a, int b): return a if a >= b else b             # <<<<<<<<<<<<<<
 * cdef inline int int_min(int a, int b): return a if a <= b else b
 * 
 */

static CYTHON_INLINE int __pyx_f_6pandas_7_sparse_int_max(int __pyx_v_a, int __pyx_v_b) {
  int __pyx_r;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
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        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 410; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        __Pyx_RaiseBufferIndexError(__pyx_t_6);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 411; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        __Pyx_RaiseBufferIndexError(__pyx_t_6);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 411; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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      __pyx_v_diff = ((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_bstruct_xloc.buf, __pyx_t_15, __pyx_bstride_0_xloc)) - (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_bstruct_yloc.buf, __pyx_t_16, __pyx_bstride_0_yloc)));

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      __pyx_t_11 = ((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_bstruct_ylen.buf, __pyx_t_17, __pyx_bstride_0_ylen)) <= __pyx_v_diff);
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 */
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        __Pyx_RaiseBufferIndexError(__pyx_t_6);
        {__pyx_filename = __pyx_f[0]; __pyx_lineno = 418; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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        __Pyx_RaiseBufferIndexError(__pyx_t_6);
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      /* "pandas/src/sparse.pyx":431
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 */
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        __Pyx_RaiseBufferIndexError(__pyx_t_6);
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 *                 ybp = 0
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 */
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 */
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      /* "numpy.pxd":230
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 */
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 *                 info.shape = <Py_ssize_t*>PyArray_DIMS(self)
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    /* "numpy.pxd":252
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    /* "numpy.pxd":255
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    /* "numpy.pxd":256
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    /* "numpy.pxd":260
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 *                 elif t == NPY_UBYTE:       f = "B"             # <<<<<<<<<<<<<<
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    /* "numpy.pxd":261
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 */
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    /* "numpy.pxd":263
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 *                 elif t == NPY_INT:         f = "i"             # <<<<<<<<<<<<<<
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 */
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    /* "numpy.pxd":264
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    /* "numpy.pxd":265
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    /* "numpy.pxd":266
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    /* "numpy.pxd":267
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 */
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    /* "numpy.pxd":268
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      goto __pyx_L15;
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    /* "numpy.pxd":269
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 *                 elif t == NPY_DOUBLE:      f = "d"
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    /* "numpy.pxd":270
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    /* "numpy.pxd":271
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 *                 elif t == NPY_LONGDOUBLE:  f = "g"             # <<<<<<<<<<<<<<
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 */
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    /* "numpy.pxd":281
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  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  #if PY_VERSION_HEX >= 0x02050000
  0, /*nb_index*/
  #endif
};

static PySequenceMethods __pyx_tp_as_sequence_SparseIndex = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  0, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_SparseIndex = {
  0, /*mp_length*/
  0, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_SparseIndex = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_getbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_releasebuffer*/
  #endif
};

static PyTypeObject __pyx_type_6pandas_7_sparse_SparseIndex = {
  PyVarObject_HEAD_INIT(0, 0)
  __Pyx_NAMESTR("pandas._sparse.SparseIndex"), /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_7_sparse_SparseIndex), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_7_sparse_SparseIndex, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #else
  0, /*reserved*/
  #endif
  0, /*tp_repr*/
  &__pyx_tp_as_number_SparseIndex, /*tp_as_number*/
  &__pyx_tp_as_sequence_SparseIndex, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_SparseIndex, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_SparseIndex, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  __Pyx_DOCSTR("\n    Abstract superclass for sparse index types\n    "), /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_7_sparse_SparseIndex, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pf_6pandas_7_sparse_11SparseIndex___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_7_sparse_SparseIndex, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  #if PY_VERSION_HEX >= 0x02060000
  0, /*tp_version_tag*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_7_sparse_IntIndex __pyx_vtable_6pandas_7_sparse_IntIndex;

static PyObject *__pyx_tp_new_6pandas_7_sparse_IntIndex(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pandas_7_sparse_IntIndex *p;
  PyObject *o = __pyx_tp_new_6pandas_7_sparse_SparseIndex(t, a, k);
  if (!o) return 0;
  p = ((struct __pyx_obj_6pandas_7_sparse_IntIndex *)o);
  p->__pyx_vtab = __pyx_vtabptr_6pandas_7_sparse_IntIndex;
  p->indices = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pandas_7_sparse_IntIndex(PyObject *o) {
  struct __pyx_obj_6pandas_7_sparse_IntIndex *p = (struct __pyx_obj_6pandas_7_sparse_IntIndex *)o;
  Py_XDECREF(((PyObject *)p->indices));
  __pyx_tp_dealloc_6pandas_7_sparse_SparseIndex(o);
}

static int __pyx_tp_traverse_6pandas_7_sparse_IntIndex(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pandas_7_sparse_IntIndex *p = (struct __pyx_obj_6pandas_7_sparse_IntIndex *)o;
  if (__pyx_ptype_6pandas_7_sparse_SparseIndex->tp_traverse) {
    e = __pyx_ptype_6pandas_7_sparse_SparseIndex->tp_traverse(o, v, a); if (e) return e;
  }
  if (p->indices) {
    e = (*v)(((PyObject*)p->indices), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pandas_7_sparse_IntIndex(PyObject *o) {
  struct __pyx_obj_6pandas_7_sparse_IntIndex *p = (struct __pyx_obj_6pandas_7_sparse_IntIndex *)o;
  PyObject* tmp;
  if (__pyx_ptype_6pandas_7_sparse_SparseIndex->tp_clear) {
    __pyx_ptype_6pandas_7_sparse_SparseIndex->tp_clear(o);
  }
  tmp = ((PyObject*)p->indices);
  p->indices = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pandas_7_sparse_8IntIndex_length(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_8IntIndex_6length___get__(o);
}

static PyObject *__pyx_getprop_6pandas_7_sparse_8IntIndex_npoints(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_8IntIndex_7npoints___get__(o);
}

static PyObject *__pyx_getprop_6pandas_7_sparse_8IntIndex_indices(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_8IntIndex_7indices___get__(o);
}

static PyMethodDef __pyx_methods_6pandas_7_sparse_IntIndex[] = {
  {__Pyx_NAMESTR("__reduce__"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_1__reduce__, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("check_integrity"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_3check_integrity, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_6pandas_7_sparse_8IntIndex_3check_integrity)},
  {__Pyx_NAMESTR("equals"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_4equals, METH_O, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("ngaps"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_5ngaps, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("to_int_index"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_6to_int_index, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("to_block_index"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_7to_block_index, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("intersect"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_8intersect, METH_O, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("make_union"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_9make_union, METH_O, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("lookup"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_10lookup, METH_O, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("reindex"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_11reindex, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("put"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_12put, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("take"), (PyCFunction)__pyx_pf_6pandas_7_sparse_8IntIndex_13take, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pandas_7_sparse_IntIndex[] = {
  {(char *)"length", __pyx_getprop_6pandas_7_sparse_8IntIndex_length, 0, 0, 0},
  {(char *)"npoints", __pyx_getprop_6pandas_7_sparse_8IntIndex_npoints, 0, 0, 0},
  {(char *)"indices", __pyx_getprop_6pandas_7_sparse_8IntIndex_indices, 0, 0, 0},
  {0, 0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number_IntIndex = {
  0, /*nb_add*/
  0, /*nb_subtract*/
  0, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*nb_hex*/
  #endif
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_inplace_divide*/
  #endif
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  #if PY_VERSION_HEX >= 0x02050000
  0, /*nb_index*/
  #endif
};

static PySequenceMethods __pyx_tp_as_sequence_IntIndex = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  0, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_IntIndex = {
  0, /*mp_length*/
  0, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_IntIndex = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_getbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_releasebuffer*/
  #endif
};

static PyTypeObject __pyx_type_6pandas_7_sparse_IntIndex = {
  PyVarObject_HEAD_INIT(0, 0)
  __Pyx_NAMESTR("pandas._sparse.IntIndex"), /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_7_sparse_IntIndex), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_7_sparse_IntIndex, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #else
  0, /*reserved*/
  #endif
  __pyx_pf_6pandas_7_sparse_8IntIndex_2__repr__, /*tp_repr*/
  &__pyx_tp_as_number_IntIndex, /*tp_as_number*/
  &__pyx_tp_as_sequence_IntIndex, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_IntIndex, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_IntIndex, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  __Pyx_DOCSTR("\n    Object for holding exact integer sparse indexing information\n\n    Parameters\n    ----------\n    length : integer\n    indices : array-like\n        Contains integers corresponding to\n    "), /*tp_doc*/
  __pyx_tp_traverse_6pandas_7_sparse_IntIndex, /*tp_traverse*/
  __pyx_tp_clear_6pandas_7_sparse_IntIndex, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_7_sparse_IntIndex, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pandas_7_sparse_IntIndex, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pf_6pandas_7_sparse_8IntIndex___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_7_sparse_IntIndex, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  #if PY_VERSION_HEX >= 0x02060000
  0, /*tp_version_tag*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_7_sparse_BlockIndex __pyx_vtable_6pandas_7_sparse_BlockIndex;

static PyObject *__pyx_tp_new_6pandas_7_sparse_BlockIndex(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pandas_7_sparse_BlockIndex *p;
  PyObject *o = __pyx_tp_new_6pandas_7_sparse_SparseIndex(t, a, k);
  if (!o) return 0;
  p = ((struct __pyx_obj_6pandas_7_sparse_BlockIndex *)o);
  p->__pyx_vtab = __pyx_vtabptr_6pandas_7_sparse_BlockIndex;
  p->blocs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->blengths = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->__weakref__ = 0;
  return o;
}

static void __pyx_tp_dealloc_6pandas_7_sparse_BlockIndex(PyObject *o) {
  struct __pyx_obj_6pandas_7_sparse_BlockIndex *p = (struct __pyx_obj_6pandas_7_sparse_BlockIndex *)o;
  if (p->__weakref__) PyObject_ClearWeakRefs(o);
  Py_XDECREF(((PyObject *)p->blocs));
  Py_XDECREF(((PyObject *)p->blengths));
  __pyx_tp_dealloc_6pandas_7_sparse_SparseIndex(o);
}

static int __pyx_tp_traverse_6pandas_7_sparse_BlockIndex(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pandas_7_sparse_BlockIndex *p = (struct __pyx_obj_6pandas_7_sparse_BlockIndex *)o;
  if (__pyx_ptype_6pandas_7_sparse_SparseIndex->tp_traverse) {
    e = __pyx_ptype_6pandas_7_sparse_SparseIndex->tp_traverse(o, v, a); if (e) return e;
  }
  if (p->blocs) {
    e = (*v)(((PyObject*)p->blocs), a); if (e) return e;
  }
  if (p->blengths) {
    e = (*v)(((PyObject*)p->blengths), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pandas_7_sparse_BlockIndex(PyObject *o) {
  struct __pyx_obj_6pandas_7_sparse_BlockIndex *p = (struct __pyx_obj_6pandas_7_sparse_BlockIndex *)o;
  PyObject* tmp;
  if (__pyx_ptype_6pandas_7_sparse_SparseIndex->tp_clear) {
    __pyx_ptype_6pandas_7_sparse_SparseIndex->tp_clear(o);
  }
  tmp = ((PyObject*)p->blocs);
  p->blocs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->blengths);
  p->blengths = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pandas_7_sparse_10BlockIndex_nblocks(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_10BlockIndex_7nblocks___get__(o);
}

static PyObject *__pyx_getprop_6pandas_7_sparse_10BlockIndex_npoints(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_10BlockIndex_7npoints___get__(o);
}

static PyObject *__pyx_getprop_6pandas_7_sparse_10BlockIndex_length(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_10BlockIndex_6length___get__(o);
}

static PyObject *__pyx_getprop_6pandas_7_sparse_10BlockIndex_blocs(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_10BlockIndex_5blocs___get__(o);
}

static PyObject *__pyx_getprop_6pandas_7_sparse_10BlockIndex_blengths(PyObject *o, void *x) {
  return __pyx_pf_6pandas_7_sparse_10BlockIndex_8blengths___get__(o);
}

static PyMethodDef __pyx_methods_6pandas_7_sparse_BlockIndex[] = {
  {__Pyx_NAMESTR("__reduce__"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_1__reduce__, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("ngaps"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_3ngaps, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("check_integrity"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_4check_integrity, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_6pandas_7_sparse_10BlockIndex_4check_integrity)},
  {__Pyx_NAMESTR("equals"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_5equals, METH_O, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("to_block_index"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_6to_block_index, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("to_int_index"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_7to_int_index, METH_NOARGS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("intersect"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_8intersect, METH_O, __Pyx_DOCSTR(__pyx_doc_6pandas_7_sparse_10BlockIndex_8intersect)},
  {__Pyx_NAMESTR("make_union"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_9make_union, METH_O, __Pyx_DOCSTR(__pyx_doc_6pandas_7_sparse_10BlockIndex_9make_union)},
  {__Pyx_NAMESTR("lookup"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_10lookup, METH_O, __Pyx_DOCSTR(__pyx_doc_6pandas_7_sparse_10BlockIndex_10lookup)},
  {__Pyx_NAMESTR("reindex"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_11reindex, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("put"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_12put, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)},
  {__Pyx_NAMESTR("take"), (PyCFunction)__pyx_pf_6pandas_7_sparse_10BlockIndex_13take, METH_VARARGS|METH_KEYWORDS, __Pyx_DOCSTR(0)},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pandas_7_sparse_BlockIndex[] = {
  {(char *)"nblocks", __pyx_getprop_6pandas_7_sparse_10BlockIndex_nblocks, 0, 0, 0},
  {(char *)"npoints", __pyx_getprop_6pandas_7_sparse_10BlockIndex_npoints, 0, 0, 0},
  {(char *)"length", __pyx_getprop_6pandas_7_sparse_10BlockIndex_length, 0, 0, 0},
  {(char *)"blocs", __pyx_getprop_6pandas_7_sparse_10BlockIndex_blocs, 0, 0, 0},
  {(char *)"blengths", __pyx_getprop_6pandas_7_sparse_10BlockIndex_blengths, 0, 0, 0},
  {0, 0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number_BlockIndex = {
  0, /*nb_add*/
  0, /*nb_subtract*/
  0, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*nb_hex*/
  #endif
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_inplace_divide*/
  #endif
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  #if PY_VERSION_HEX >= 0x02050000
  0, /*nb_index*/
  #endif
};

static PySequenceMethods __pyx_tp_as_sequence_BlockIndex = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  0, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_BlockIndex = {
  0, /*mp_length*/
  0, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_BlockIndex = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_getbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_releasebuffer*/
  #endif
};

static PyTypeObject __pyx_type_6pandas_7_sparse_BlockIndex = {
  PyVarObject_HEAD_INIT(0, 0)
  __Pyx_NAMESTR("pandas._sparse.BlockIndex"), /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_7_sparse_BlockIndex), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_7_sparse_BlockIndex, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #else
  0, /*reserved*/
  #endif
  __pyx_pf_6pandas_7_sparse_10BlockIndex_2__repr__, /*tp_repr*/
  &__pyx_tp_as_number_BlockIndex, /*tp_as_number*/
  &__pyx_tp_as_sequence_BlockIndex, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_BlockIndex, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_BlockIndex, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  __Pyx_DOCSTR("\n    Object for holding block-based sparse indexing information\n\n    Parameters\n    ----------\n    "), /*tp_doc*/
  __pyx_tp_traverse_6pandas_7_sparse_BlockIndex, /*tp_traverse*/
  __pyx_tp_clear_6pandas_7_sparse_BlockIndex, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_7_sparse_BlockIndex, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pandas_7_sparse_BlockIndex, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pf_6pandas_7_sparse_10BlockIndex___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_7_sparse_BlockIndex, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  #if PY_VERSION_HEX >= 0x02060000
  0, /*tp_version_tag*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_7_sparse_BlockMerge __pyx_vtable_6pandas_7_sparse_BlockMerge;

static PyObject *__pyx_tp_new_6pandas_7_sparse_BlockMerge(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pandas_7_sparse_BlockMerge *p;
  PyObject *o = (*t->tp_alloc)(t, 0);
  if (!o) return 0;
  p = ((struct __pyx_obj_6pandas_7_sparse_BlockMerge *)o);
  p->__pyx_vtab = __pyx_vtabptr_6pandas_7_sparse_BlockMerge;
  p->x = ((struct __pyx_obj_6pandas_7_sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  p->y = ((struct __pyx_obj_6pandas_7_sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  p->result = ((struct __pyx_obj_6pandas_7_sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  p->xstart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->xlen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->xend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ystart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ylen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->yend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pandas_7_sparse_BlockMerge(PyObject *o) {
  struct __pyx_obj_6pandas_7_sparse_BlockMerge *p = (struct __pyx_obj_6pandas_7_sparse_BlockMerge *)o;
  Py_XDECREF(((PyObject *)p->x));
  Py_XDECREF(((PyObject *)p->y));
  Py_XDECREF(((PyObject *)p->result));
  Py_XDECREF(((PyObject *)p->xstart));
  Py_XDECREF(((PyObject *)p->xlen));
  Py_XDECREF(((PyObject *)p->xend));
  Py_XDECREF(((PyObject *)p->ystart));
  Py_XDECREF(((PyObject *)p->ylen));
  Py_XDECREF(((PyObject *)p->yend));
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6pandas_7_sparse_BlockMerge(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pandas_7_sparse_BlockMerge *p = (struct __pyx_obj_6pandas_7_sparse_BlockMerge *)o;
  if (p->x) {
    e = (*v)(((PyObject*)p->x), a); if (e) return e;
  }
  if (p->y) {
    e = (*v)(((PyObject*)p->y), a); if (e) return e;
  }
  if (p->result) {
    e = (*v)(((PyObject*)p->result), a); if (e) return e;
  }
  if (p->xstart) {
    e = (*v)(((PyObject*)p->xstart), a); if (e) return e;
  }
  if (p->xlen) {
    e = (*v)(((PyObject*)p->xlen), a); if (e) return e;
  }
  if (p->xend) {
    e = (*v)(((PyObject*)p->xend), a); if (e) return e;
  }
  if (p->ystart) {
    e = (*v)(((PyObject*)p->ystart), a); if (e) return e;
  }
  if (p->ylen) {
    e = (*v)(((PyObject*)p->ylen), a); if (e) return e;
  }
  if (p->yend) {
    e = (*v)(((PyObject*)p->yend), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pandas_7_sparse_BlockMerge(PyObject *o) {
  struct __pyx_obj_6pandas_7_sparse_BlockMerge *p = (struct __pyx_obj_6pandas_7_sparse_BlockMerge *)o;
  PyObject* tmp;
  tmp = ((PyObject*)p->x);
  p->x = ((struct __pyx_obj_6pandas_7_sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->y);
  p->y = ((struct __pyx_obj_6pandas_7_sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->result);
  p->result = ((struct __pyx_obj_6pandas_7_sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->xstart);
  p->xstart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->xlen);
  p->xlen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->xend);
  p->xend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ystart);
  p->ystart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ylen);
  p->ylen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->yend);
  p->yend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_6pandas_7_sparse_BlockMerge[] = {
  {0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number_BlockMerge = {
  0, /*nb_add*/
  0, /*nb_subtract*/
  0, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*nb_hex*/
  #endif
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_inplace_divide*/
  #endif
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  #if PY_VERSION_HEX >= 0x02050000
  0, /*nb_index*/
  #endif
};

static PySequenceMethods __pyx_tp_as_sequence_BlockMerge = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  0, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_BlockMerge = {
  0, /*mp_length*/
  0, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_BlockMerge = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_getbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_releasebuffer*/
  #endif
};

static PyTypeObject __pyx_type_6pandas_7_sparse_BlockMerge = {
  PyVarObject_HEAD_INIT(0, 0)
  __Pyx_NAMESTR("pandas._sparse.BlockMerge"), /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_7_sparse_BlockMerge), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_7_sparse_BlockMerge, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #else
  0, /*reserved*/
  #endif
  0, /*tp_repr*/
  &__pyx_tp_as_number_BlockMerge, /*tp_as_number*/
  &__pyx_tp_as_sequence_BlockMerge, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_BlockMerge, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_BlockMerge, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  __Pyx_DOCSTR("\n    Object-oriented approach makes sharing state between recursive functions a\n    lot easier and reduces code duplication\n    "), /*tp_doc*/
  __pyx_tp_traverse_6pandas_7_sparse_BlockMerge, /*tp_traverse*/
  __pyx_tp_clear_6pandas_7_sparse_BlockMerge, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_7_sparse_BlockMerge, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pf_6pandas_7_sparse_10BlockMerge___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_7_sparse_BlockMerge, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  #if PY_VERSION_HEX >= 0x02060000
  0, /*tp_version_tag*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_7_sparse_BlockIntersection __pyx_vtable_6pandas_7_sparse_BlockIntersection;

static PyObject *__pyx_tp_new_6pandas_7_sparse_BlockIntersection(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pandas_7_sparse_BlockIntersection *p;
  PyObject *o = __pyx_tp_new_6pandas_7_sparse_BlockMerge(t, a, k);
  if (!o) return 0;
  p = ((struct __pyx_obj_6pandas_7_sparse_BlockIntersection *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6pandas_7_sparse_BlockMerge*)__pyx_vtabptr_6pandas_7_sparse_BlockIntersection;
  return o;
}

static PyMethodDef __pyx_methods_6pandas_7_sparse_BlockIntersection[] = {
  {0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number_BlockIntersection = {
  0, /*nb_add*/
  0, /*nb_subtract*/
  0, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*nb_hex*/
  #endif
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_inplace_divide*/
  #endif
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  #if PY_VERSION_HEX >= 0x02050000
  0, /*nb_index*/
  #endif
};

static PySequenceMethods __pyx_tp_as_sequence_BlockIntersection = {
  0, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  0, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_BlockIntersection = {
  0, /*mp_length*/
  0, /*mp_subscript*/
  0, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_BlockIntersection = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_getbuffer*/
  #endif
  #if PY_VERSION_HEX >= 0x02060000
  0, /*bf_releasebuffer*/
  #endif
};

static PyTypeObject __pyx_type_6pandas_7_sparse_BlockIntersection = {
  PyVarObject_HEAD_INIT(0, 0)
  __Pyx_NAMESTR("pandas._sparse.BlockIntersection"), /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_7_sparse_BlockIntersection), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_7_sparse_BlockMerge, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #else
  0, /*reserved*/
  #endif
  0, /*tp_repr*/
  &__pyx_tp_as_number_BlockIntersection, /*tp_as_number*/
  &__pyx_tp_as_sequence_BlockIntersection, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_BlockIntersection, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_BlockIntersection, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  __Pyx_DOCSTR("\n    not done yet\n    "), /*tp_doc*/
  __pyx_tp_traverse_6pandas_7_sparse_BlockMerge, /*tp_traverse*/
  __pyx_tp_clear_6pandas_7_sparse_BlockMerge, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_7_sparse_BlockIntersection, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_7_sparse_BlockIntersection, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  #if PY_VERSION_HEX >= 0x02060000
  0, /*tp_version_tag*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_7_sparse_BlockUnion __pyx_vtable_6pandas_7_sparse_BlockUnion;

static PyObject *__pyx_tp_new_6pandas_7_sparse_BlockUnion(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pandas_7_sparse_BlockUnion *p;
  PyObject *o = __pyx_tp_new_6pandas_7_sparse_BlockMerge(t, a, k);
  if (!o) return 0;
  p = ((struct __pyx_obj_6pandas_7_sparse_BlockUnion *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6pandas_7_sparse_BlockMerge*)__pyx_vtabptr_6pandas_7_sparse_BlockUnion;
  return o;
}

static PyMethodDef __pyx_methods_6pandas_7_sparse_BlockUnion[] = {
  {0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number_BlockUnion = {
  0, /*nb_add*/
  0, /*nb_subtract*/
  0, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
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                 "%s() takes %s %"PY_FORMAT_SIZE_T"d positional argument%s (%"PY_FORMAT_SIZE_T"d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

static CYTHON_INLINE int __Pyx_CheckKeywordStrings(
    PyObject *kwdict,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
    while (PyDict_Next(kwdict, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_CheckExact(key)) && unlikely(!PyString_Check(key)))
        #else
        if (unlikely(!PyUnicode_CheckExact(key)) && unlikely(!PyUnicode_Check(key)))
        #endif
            goto invalid_keyword_type;
    }
    if ((!kw_allowed) && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%s() keywords must be strings", function_name);
    return 0;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%s() got an unexpected keyword argument '%s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();

    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}

static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;

    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}


#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    /* cause is unused */
    Py_XINCREF(type);
    Py_XINCREF(value);
    Py_XINCREF(tb);
    /* First, check the traceback argument, replacing None with NULL. */
    if (tb == Py_None) {
        Py_DECREF(tb);
        tb = 0;
    }
    else if (tb != NULL && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto raise_error;
    }
    /* Next, replace a missing value with None */
    if (value == NULL) {
        value = Py_None;
        Py_INCREF(value);
    }
    #if PY_VERSION_HEX < 0x02050000
    if (!PyClass_Check(type))
    #else
    if (!PyType_Check(type))
    #endif
    {
        /* Raising an instance.  The value should be a dummy. */
        if (value != Py_None) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        /* Normalize to raise <class>, <instance> */
        Py_DECREF(value);
        value = type;
        #if PY_VERSION_HEX < 0x02050000
            if (PyInstance_Check(type)) {
                type = (PyObject*) ((PyInstanceObject*)type)->in_class;
                Py_INCREF(type);
            }
            else {
                type = 0;
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception must be an old-style class or instance");
                goto raise_error;
            }
        #else
            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;
            }
        #endif
    }

    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}

#else /* Python 3+ */

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    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)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }

    if (cause) {
        PyObject *fixed_cause;
        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;
        }
        if (!value) {
            value = PyObject_CallObject(type, NULL);
        }
        PyException_SetCause(value, fixed_cause);
    }

    PyErr_SetObject(type, value);

    if (tb) {
        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);
        }
    }

bad:
    return;
}
#endif

static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AS_STRING(kw_name));
        #endif
}

static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;

    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
        } else {
            #if PY_MAJOR_VERSION < 3
            if (unlikely(!PyString_CheckExact(key)) && unlikely(!PyString_Check(key))) {
            #else
            if (unlikely(!PyUnicode_CheckExact(key)) && unlikely(!PyUnicode_Check(key))) {
            #endif
                goto invalid_keyword_type;
            } else {
                for (name = first_kw_arg; *name; name++) {
                    #if PY_MAJOR_VERSION >= 3
                    if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
                        PyUnicode_Compare(**name, key) == 0) break;
                    #else
                    if (PyString_GET_SIZE(**name) == PyString_GET_SIZE(key) &&
                        _PyString_Eq(**name, key)) break;
                    #endif
                }
                if (*name) {
                    values[name-argnames] = value;
                } else {
                    /* unexpected keyword found */
                    for (name=argnames; name != first_kw_arg; name++) {
                        if (**name == key) goto arg_passed_twice;
                        #if PY_MAJOR_VERSION >= 3
                        if (PyUnicode_GET_SIZE(**name) == PyUnicode_GET_SIZE(key) &&
                            PyUnicode_Compare(**name, key) == 0) goto arg_passed_twice;
                        #else
                        if (PyString_GET_SIZE(**name) == PyString_GET_SIZE(key) &&
                            _PyString_Eq(**name, key)) goto arg_passed_twice;
                        #endif
                    }
                    if (kwds2) {
                        if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
                    } else {
                        goto invalid_keyword;
                    }
                }
            }
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, **name);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%s() got an unexpected keyword argument '%s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_Format(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 void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %"PY_FORMAT_SIZE_T"d value%s to unpack",
                 index, (index == 1) ? "" : "s");
}

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %"PY_FORMAT_SIZE_T"d)", expected);
}

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else if (PyErr_Occurred()) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
}

static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
  unsigned int n = 1;
  return *(unsigned char*)(&n) != 0;
}

typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
} __Pyx_BufFmt_Context;

static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}

static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t < '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}

static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}

static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case 'b': return "'char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 0: return "end";
    default: return "unparseable format string";
  }
}

static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}

static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'B': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}

typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif

static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}

static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'h': case 'i': case 'l': case 'q': return 'I';
    case 'B': case 'H': case 'I': case 'L': case 'Q': return 'U';
    case 'f': case 'd': case 'g': return (is_complex ? 'C' : 'R');
    case 'O': return 'O';
    case 'P': return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}

static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}

static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset;
  if (ctx->enc_type == 0) return 0;
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;

    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
    }

    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        /* special case -- treat as struct rather than complex number */
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }

      __Pyx_BufFmt_RaiseExpected(ctx);
      return -1;
    }

    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %"PY_FORMAT_SIZE_T"d but %"PY_FORMAT_SIZE_T"d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }

    ctx->fmt_offset += size;

    --ctx->enc_count; /* Consume from buffer string */

    /* Done checking, move to next field, pushing or popping struct stack if needed */
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break; /* breaks both loops as ctx->enc_count == 0 */
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue; /* empty struct */
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}

static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case 10:
      case 13:
        ++ts;
        break;
      case '<':
        if (!__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T': /* substruct */
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
        }
        break;
      case '}': /* end of substruct; either repeat or move on */
        ++ts;
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }        /* fall through */
      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          /* Continue pooling same type */
          ctx->enc_count += ctx->new_count;
        } else {
          /* New type */
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_count = ctx->new_count;
          ctx->enc_packmode = ctx->new_packmode;
          ctx->enc_type = *ts;
          ctx->is_complex = got_Z;
        }
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ParseNumber(&ts);
          if (number == -1) { /* First char was not a digit */
            PyErr_Format(PyExc_ValueError,
                         "Does not understand character buffer dtype format string ('%c')", *ts);
            return NULL;
          }
          ctx->new_count = (size_t)number; 
        }
    }
  }
}

static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}

static CYTHON_INLINE int __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack) {
  if (obj == Py_None || obj == NULL) {
    __Pyx_ZeroBuffer(buf);
    return 0;
  }
  buf->buf = NULL;
  if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
  if (buf->ndim != nd) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if ((unsigned)buf->itemsize != dtype->size) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%"PY_FORMAT_SIZE_T"d byte%s) does not match size of '%s' (%"PY_FORMAT_SIZE_T"d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_ZeroBuffer(buf);
  return -1;
}

static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_Format(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

static void __Pyx_RaiseBufferIndexError(int axis) {
  PyErr_Format(PyExc_IndexError,
     "Out of bounds on buffer access (axis %d)", axis);
}


static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (!type) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (Py_TYPE(obj) == type) return 1;
    }
    else {
        if (PyObject_TypeCheck(obj, type)) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%s' has incorrect type (expected %s, got %s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

static CYTHON_INLINE void __Pyx_RaiseNoneIndexingError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is unsubscriptable");
}

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else if (PyTuple_GET_SIZE(t) < index) {
      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
    } else {
      __Pyx_RaiseTooManyValuesError(index);
    }
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
  #if PY_VERSION_HEX >= 0x02060000
  if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
  #endif
  if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pf_5numpy_7ndarray___getbuffer__(obj, view, flags);
  else {
  PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
  return -1;
    }
}

static void __Pyx_ReleaseBuffer(Py_buffer *view) {
  PyObject* obj = view->obj;
  if (obj) {
    #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) {PyBuffer_Release(view); return;}
    #endif
    if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pf_5numpy_7ndarray_1__releasebuffer__(obj, view);
    Py_DECREF(obj);
    view->obj = NULL;
  }
}

#endif

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, long level) {
    PyObject *py_import = 0;
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    py_import = __Pyx_GetAttrString(__pyx_b, "__import__");
    if (!py_import)
        goto bad;
    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_VERSION_HEX >= 0x02050000
    {
        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
    if (level>0) {
        PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
        goto bad;
    }
    module = PyObject_CallFunctionObjArgs(py_import,
        name, global_dict, empty_dict, list, NULL);
    #endif
bad:
    Py_XDECREF(empty_list);
    Py_XDECREF(py_import);
    Py_XDECREF(empty_dict);
    return module;
}

static CYTHON_INLINE PyObject *__Pyx_PyInt_to_py_npy_int32(npy_int32 val) {
    const npy_int32 neg_one = (npy_int32)-1, const_zero = (npy_int32)0;
    const int is_unsigned = const_zero < neg_one;
    if ((sizeof(npy_int32) == sizeof(char))  ||
        (sizeof(npy_int32) == sizeof(short))) {
        return PyInt_FromLong((long)val);
    } else if ((sizeof(npy_int32) == sizeof(int)) ||
               (sizeof(npy_int32) == sizeof(long))) {
        if (is_unsigned)
            return PyLong_FromUnsignedLong((unsigned long)val);
        else
            return PyInt_FromLong((long)val);
    } else if (sizeof(npy_int32) == sizeof(PY_LONG_LONG)) {
        if (is_unsigned)
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG)val);
        else
            return PyLong_FromLongLong((PY_LONG_LONG)val);
    } else {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int32),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE npy_int32 __Pyx_PyInt_from_py_npy_int32(PyObject* x) {
    const npy_int32 neg_one = (npy_int32)-1, const_zero = (npy_int32)0;
    const int is_unsigned = const_zero < neg_one;
    if (sizeof(npy_int32) == sizeof(char)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedChar(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedChar(x);
    } else if (sizeof(npy_int32) == sizeof(short)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedShort(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedShort(x);
    } else if (sizeof(npy_int32) == sizeof(int)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedInt(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedInt(x);
    } else if (sizeof(npy_int32) == sizeof(long)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedLong(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedLong(x);
    } else if (sizeof(npy_int32) == sizeof(PY_LONG_LONG)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedLongLong(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedLongLong(x);
    }  else {
        npy_int32 val;
        PyObject *v = __Pyx_PyNumber_Int(x);
        #if PY_VERSION_HEX < 0x03000000
        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;
        }
        return (npy_int32)-1;
    }
}

#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 unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
    const unsigned char neg_one = (unsigned char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned char" :
                    "value too large to convert to unsigned char");
            }
            return (unsigned char)-1;
        }
        return (unsigned char)val;
    }
    return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
    const unsigned short neg_one = (unsigned short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned short" :
                    "value too large to convert to unsigned short");
            }
            return (unsigned short)-1;
        }
        return (unsigned short)val;
    }
    return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
    const unsigned int neg_one = (unsigned int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned int" :
                    "value too large to convert to unsigned int");
            }
            return (unsigned int)-1;
        }
        return (unsigned int)val;
    }
    return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
    const char neg_one = (char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to char" :
                    "value too large to convert to char");
            }
            return (char)-1;
        }
        return (char)val;
    }
    return (char)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
    const short neg_one = (short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to short" :
                    "value too large to convert to short");
            }
            return (short)-1;
        }
        return (short)val;
    }
    return (short)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
    const signed char neg_one = (signed char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed char" :
                    "value too large to convert to signed char");
            }
            return (signed char)-1;
        }
        return (signed char)val;
    }
    return (signed char)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
    const signed short neg_one = (signed short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed short" :
                    "value too large to convert to signed short");
            }
            return (signed short)-1;
        }
        return (signed short)val;
    }
    return (signed short)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
    const signed int neg_one = (signed int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed int" :
                    "value too large to convert to signed int");
            }
            return (signed int)-1;
        }
        return (signed int)val;
    }
    return (signed int)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
    const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return (unsigned long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned long");
                return (unsigned long)-1;
            }
            return (unsigned long)PyLong_AsUnsignedLong(x);
        } else {
            return (unsigned long)PyLong_AsLong(x);
        }
    } else {
        unsigned long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned long)-1;
        val = __Pyx_PyInt_AsUnsignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
    const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned PY_LONG_LONG");
            return (unsigned PY_LONG_LONG)-1;
        }
        return (unsigned PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned PY_LONG_LONG");
                return (unsigned PY_LONG_LONG)-1;
            }
            return (unsigned PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (unsigned PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        unsigned PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
    const long neg_one = (long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to long");
            return (long)-1;
        }
        return (long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long)-1;
            }
            return (long)PyLong_AsUnsignedLong(x);
        } else {
            return (long)PyLong_AsLong(x);
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long)-1;
        val = __Pyx_PyInt_AsLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
    const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to PY_LONG_LONG");
            return (PY_LONG_LONG)-1;
        }
        return (PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to PY_LONG_LONG");
                return (PY_LONG_LONG)-1;
            }
            return (PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
    const signed long neg_one = (signed long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed long");
            return (signed long)-1;
        }
        return (signed long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed long");
                return (signed long)-1;
            }
            return (signed long)PyLong_AsUnsignedLong(x);
        } else {
            return (signed long)PyLong_AsLong(x);
        }
    } else {
        signed long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed long)-1;
        val = __Pyx_PyInt_AsSignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
    const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed PY_LONG_LONG");
            return (signed PY_LONG_LONG)-1;
        }
        return (signed PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed PY_LONG_LONG");
                return (signed PY_LONG_LONG)-1;
            }
            return (signed PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (signed PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        signed PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsSignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static void __Pyx_WriteUnraisable(const char *name, int clineno,
                                  int lineno, const char *filename) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
}

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);
        #if PY_VERSION_HEX < 0x02050000
        return PyErr_Warn(NULL, message);
        #else
        return PyErr_WarnEx(NULL, message, 1);
        #endif
    }
    return 0;
}

static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItemString(dict, "__pyx_vtable__", ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

#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_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(class_name);
    #else
    py_name = PyUnicode_FromString(class_name);
    #endif
    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,
            "%s.%s is not a type object",
            module_name, class_name);
        goto bad;
    }
    if (!strict && ((PyTypeObject *)result)->tp_basicsize > (Py_ssize_t)size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        #if PY_VERSION_HEX < 0x02050000
        if (PyErr_Warn(NULL, warning) < 0) goto bad;
        #else
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
        #endif
    }
    else if (((PyTypeObject *)result)->tp_basicsize != (Py_ssize_t)size) {
        PyErr_Format(PyExc_ValueError,
            "%s.%s 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_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;

    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(name);
    #else
    py_name = PyUnicode_FromString(name);
    #endif
    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

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"

static void __Pyx_AddTraceback(const char *funcname, int __pyx_clineno,
                               int __pyx_lineno, const char *__pyx_filename) {
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    PyObject *py_globals = 0;
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;

    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(__pyx_filename);
    #else
    py_srcfile = PyUnicode_FromString(__pyx_filename);
    #endif
    if (!py_srcfile) goto bad;
    if (__pyx_clineno) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #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_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    py_code = PyCode_New(
        0,            /*int argcount,*/
        #if PY_MAJOR_VERSION >= 3
        0,            /*int kwonlyargcount,*/
        #endif
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        __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,*/
        __pyx_lineno,   /*int firstlineno,*/
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    if (!py_code) goto bad;
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        py_globals,          /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = __pyx_lineno;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

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  /* Python 3+ has unicode identifiers */
        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;
}

/* Type Conversion Functions */

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_VERSION_HEX < 0x03000000
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return Py_INCREF(x), x;
  m = Py_TYPE(x)->tp_as_number;
#if PY_VERSION_HEX < 0x03000000
  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_VERSION_HEX < 0x03000000
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%s__ returned non-%s (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 = 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) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}

static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
   unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
   if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
       return (size_t)-1;
   } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
       PyErr_SetString(PyExc_OverflowError,
                       "value too large to convert to size_t");
       return (size_t)-1;
   }
   return (size_t)val;
}


#endif /* Py_PYTHON_H */
