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} __Pyx_PyAsyncMethodsStruct;
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#define __Pyx_void_to_None(void_result) (void_result, Py_INCREF(Py_None), Py_None)

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    #define __PYX_EXTERN_C extern
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#define __PYX_HAVE__yt__utilities__spatial__ckdtree
#define __PYX_HAVE_API__yt__utilities__spatial__ckdtree
#include "string.h"
#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

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

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


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

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

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


static const char *__pyx_f[] = {
  "yt/utilities/spatial/ckdtree.pyx",
  "__init__.pxd",
  "type.pxd",
};
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
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  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
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  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;


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

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

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
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typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
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 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
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typedef npy_uint8 __pyx_t_5numpy_uint8_t;

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

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
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 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
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typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * ctypedef npy_uint16     uint16_t
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typedef npy_uint64 __pyx_t_5numpy_uint64_t;

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

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
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typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
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 * ctypedef npy_ulonglong  ulonglong_t
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typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

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

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

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

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

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
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typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":764
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
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typedef npy_cdouble __pyx_t_5numpy_complex_t;
union __pyx_t_2yt_9utilities_7spatial_7ckdtree_heapcontents;
struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_heapitem;
struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_heap;
struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode;
struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_leafnode;
struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_nodeinfo;

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struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_heapitem {
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struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_heap {
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struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode {
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struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_leafnode {
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static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

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static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

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static PyObject *__Pyx_ImportModule(const char *name);

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static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

static struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode *__pyx_f_2yt_9utilities_7spatial_7ckdtree_7cKDTree___build(struct __pyx_obj_2yt_9utilities_7spatial_7ckdtree_cKDTree *__pyx_v_self, int __pyx_v_start_idx, int __pyx_v_end_idx, __pyx_t_5numpy_float64_t *__pyx_v_maxes, __pyx_t_5numpy_float64_t *__pyx_v_mins); /* proto*/
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static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
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static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_2yt_9utilities_7spatial_7ckdtree_dabs(__pyx_t_5numpy_float64_t); /*proto*/
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static PyObject *__pyx_builtin_xrange;
static PyObject *__pyx_builtin_RuntimeError;
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static char __pyx_k_h[] = "h";
static char __pyx_k_i[] = "i";
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static char __pyx_k_Zg[] = "Zg";
static char __pyx_k_nn[] = "nn";
static char __pyx_k_np[] = "np";
static char __pyx_k_pi[] = "pi";
static char __pyx_k_add[] = "add";
static char __pyx_k_all[] = "__all__";
static char __pyx_k_eps[] = "eps";
static char __pyx_k_inf[] = "inf";
static char __pyx_k_amax[] = "amax";
static char __pyx_k_amin[] = "amin";
static char __pyx_k_axis[] = "axis";
static char __pyx_k_data[] = "data";
static char __pyx_k_fill[] = "fill";
static char __pyx_k_main[] = "__main__";
static char __pyx_k_prod[] = "prod";
static char __pyx_k_test[] = "__test__";
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static char __pyx_k_int32[] = "int32";
static char __pyx_k_int64[] = "int64";
static char __pyx_k_numpy[] = "numpy";
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static char __pyx_k_finish[] = "finish";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_kdtree[] = "kdtree";
static char __pyx_k_nMerge[] = "nMerge";
static char __pyx_k_period[] = "period";
static char __pyx_k_xrange[] = "xrange";
static char __pyx_k_asarray[] = "asarray";
static char __pyx_k_cKDTree[] = "cKDTree";
static char __pyx_k_chainID[] = "chainID";
static char __pyx_k_density[] = "density";
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static char __pyx_k_leafsize[] = "leafsize";
static char __pyx_k_chain_map[] = "chain_map";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_bis_inside[] = "bis_inside";
static char __pyx_k_peakthresh[] = "peakthresh";
static char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_saddlethresh[] = "saddlethresh";
static char __pyx_k_bsearch_again[] = "bsearch_again";
static char __pyx_k_num_neighbors[] = "num_neighbors";
static char __pyx_k_densest_in_chain[] = "densest_in_chain";
static char __pyx_k_ascontiguousarray[] = "ascontiguousarray";
static char __pyx_k_distance_upper_bound[] = "distance_upper_bound";
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static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
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static char __pyx_k_Heap_containing_d_items_cannot_b[] = "Heap containing %d items cannot be resized to %d";
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static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_x_must_consist_of_vectors_of_len[] = "x must consist of vectors of length %d but has shape %s";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
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static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Heap_containing_d_items_cannot_b;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_kp_s_Only_p_norms_with_1_p_infinity_p;
static PyObject *__pyx_n_s_RuntimeError;
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static PyObject *__pyx_n_s_add;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_amax;
static PyObject *__pyx_n_s_amin;
static PyObject *__pyx_n_s_arange;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_asarray;
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static PyObject *__pyx_n_s_axis;
static PyObject *__pyx_n_s_bis_inside;
static PyObject *__pyx_n_s_bsearch_again;
static PyObject *__pyx_n_s_cKDTree;
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static PyObject *__pyx_n_s_chain_map;
static PyObject *__pyx_n_s_data;
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static PyObject *__pyx_n_s_distance_upper_bound;
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static PyObject *__pyx_n_s_fill;
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static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_import;
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static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_n_s_int64;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_kdtree;
static PyObject *__pyx_n_s_leafsize;
static PyObject *__pyx_kp_s_leafsize_must_be_at_least_1;
static PyObject *__pyx_n_s_main;
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 *         cdef innernode* ni
 */

static struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode *__pyx_f_2yt_9utilities_7spatial_7ckdtree_7cKDTree___build(struct __pyx_obj_2yt_9utilities_7spatial_7ckdtree_cKDTree *__pyx_v_self, int __pyx_v_start_idx, int __pyx_v_end_idx, __pyx_t_5numpy_float64_t *__pyx_v_maxes, __pyx_t_5numpy_float64_t *__pyx_v_mins) {
  struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_leafnode *__pyx_v_n;
  struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode *__pyx_v_ni;
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_t;
  int __pyx_v_p;
  int __pyx_v_q;
  int __pyx_v_d;
  __pyx_t_5numpy_float64_t __pyx_v_size;
  __pyx_t_5numpy_float64_t __pyx_v_split;
  __pyx_t_5numpy_float64_t __pyx_v_minval;
  __pyx_t_5numpy_float64_t __pyx_v_maxval;
  __pyx_t_5numpy_float64_t *__pyx_v_mids;
  struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode *__pyx_r;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  long __pyx_t_4;
  __Pyx_RefNannySetupContext("__build", 0);

  /* "yt/utilities/spatial/ckdtree.pyx":263
 *         cdef np.float64_t size, split, minval, maxval
 *         cdef np.float64_t*mids
 *         if end_idx-start_idx<=self.leafsize:             # <<<<<<<<<<<<<<
 *             n = <leafnode*>stdlib.malloc(sizeof(leafnode))
 *             # Skory
 */
  __pyx_t_1 = (((__pyx_v_end_idx - __pyx_v_start_idx) <= __pyx_v_self->leafsize) != 0);
  if (__pyx_t_1) {

    /* "yt/utilities/spatial/ckdtree.pyx":264
 *         cdef np.float64_t*mids
 *         if end_idx-start_idx<=self.leafsize:
 *             n = <leafnode*>stdlib.malloc(sizeof(leafnode))             # <<<<<<<<<<<<<<
 *             # Skory
 *             n.maxes = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)
 */
    __pyx_v_n = ((struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_leafnode *)malloc((sizeof(struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_leafnode))));

    /* "yt/utilities/spatial/ckdtree.pyx":266
 *             n = <leafnode*>stdlib.malloc(sizeof(leafnode))
 *             # Skory
 *             n.maxes = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)             # <<<<<<<<<<<<<<
 *             n.mins = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)
 *             for i in range(self.m):
 */
    __pyx_v_n->maxes = ((__pyx_t_5numpy_float64_t *)malloc(((sizeof(__pyx_t_5numpy_float64_t)) * __pyx_v_self->m)));

    /* "yt/utilities/spatial/ckdtree.pyx":267
 *             # Skory
 *             n.maxes = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)
 *             n.mins = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)             # <<<<<<<<<<<<<<
 *             for i in range(self.m):
 *                 n.maxes[i] = maxes[i]
 */
    __pyx_v_n->mins = ((__pyx_t_5numpy_float64_t *)malloc(((sizeof(__pyx_t_5numpy_float64_t)) * __pyx_v_self->m)));

    /* "yt/utilities/spatial/ckdtree.pyx":268
 *             n.maxes = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)
 *             n.mins = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)
 *             for i in range(self.m):             # <<<<<<<<<<<<<<
 *                 n.maxes[i] = maxes[i]
 *                 n.mins[i] = mins[i]
 */
    __pyx_t_2 = __pyx_v_self->m;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "yt/utilities/spatial/ckdtree.pyx":269
 *             n.mins = <np.float64_t*>stdlib.malloc(sizeof(np.float64_t)*self.m)
 *             for i in range(self.m):
 *                 n.maxes[i] = maxes[i]             # <<<<<<<<<<<<<<
 *                 n.mins[i] = mins[i]
 *             n.split_dim = -1
 */
      (__pyx_v_n->maxes[__pyx_v_i]) = (__pyx_v_maxes[__pyx_v_i]);

      /* "yt/utilities/spatial/ckdtree.pyx":270
 *             for i in range(self.m):
 *                 n.maxes[i] = maxes[i]
 *                 n.mins[i] = mins[i]             # <<<<<<<<<<<<<<
 *             n.split_dim = -1
 *             n.start_idx = start_idx
 */
      (__pyx_v_n->mins[__pyx_v_i]) = (__pyx_v_mins[__pyx_v_i]);
    }

    /* "yt/utilities/spatial/ckdtree.pyx":271
 *                 n.maxes[i] = maxes[i]
 *                 n.mins[i] = mins[i]
 *             n.split_dim = -1             # <<<<<<<<<<<<<<
 *             n.start_idx = start_idx
 *             n.end_idx = end_idx
 */
    __pyx_v_n->split_dim = -1;

    /* "yt/utilities/spatial/ckdtree.pyx":272
 *                 n.mins[i] = mins[i]
 *             n.split_dim = -1
 *             n.start_idx = start_idx             # <<<<<<<<<<<<<<
 *             n.end_idx = end_idx
 *             return <innernode*>n
 */
    __pyx_v_n->start_idx = __pyx_v_start_idx;

    /* "yt/utilities/spatial/ckdtree.pyx":273
 *             n.split_dim = -1
 *             n.start_idx = start_idx
 *             n.end_idx = end_idx             # <<<<<<<<<<<<<<
 *             return <innernode*>n
 *         else:
 */
    __pyx_v_n->end_idx = __pyx_v_end_idx;

    /* "yt/utilities/spatial/ckdtree.pyx":274
 *             n.start_idx = start_idx
 *             n.end_idx = end_idx
 *             return <innernode*>n             # <<<<<<<<<<<<<<
 *         else:
 *             d = 0
 */
    __pyx_r = ((struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode *)__pyx_v_n);
    goto __pyx_L0;

    /* "yt/utilities/spatial/ckdtree.pyx":263
 *         cdef np.float64_t size, split, minval, maxval
 *         cdef np.float64_t*mids
 *         if end_idx-start_idx<=self.leafsize:             # <<<<<<<<<<<<<<
 *             n = <leafnode*>stdlib.malloc(sizeof(leafnode))
 *             # Skory
 */
  }

  /* "yt/utilities/spatial/ckdtree.pyx":276
 *             return <innernode*>n
 *         else:
 *             d = 0             # <<<<<<<<<<<<<<
 *             size = 0
 *             for i in range(self.m):
 */
  /*else*/ {
    __pyx_v_d = 0;

    /* "yt/utilities/spatial/ckdtree.pyx":277
 *         else:
 *             d = 0
 *             size = 0             # <<<<<<<<<<<<<<
 *             for i in range(self.m):
 *                 if maxes[i]-mins[i] > size:
 */
    __pyx_v_size = 0.0;

    /* "yt/utilities/spatial/ckdtree.pyx":278
 *             d = 0
 *             size = 0
 *             for i in range(self.m):             # <<<<<<<<<<<<<<
 *                 if maxes[i]-mins[i] > size:
 *                     d = i
 */
    __pyx_t_2 = __pyx_v_self->m;
    for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
      __pyx_v_i = __pyx_t_3;

      /* "yt/utilities/spatial/ckdtree.pyx":279
 *             size = 0
 *             for i in range(self.m):
 *                 if maxes[i]-mins[i] > size:             # <<<<<<<<<<<<<<
 *                     d = i
 *                     size =  maxes[i]-mins[i]
 */
      __pyx_t_1 = ((((__pyx_v_maxes[__pyx_v_i]) - (__pyx_v_mins[__pyx_v_i])) > __pyx_v_size) != 0);
      if (__pyx_t_1) {

        /* "yt/utilities/spatial/ckdtree.pyx":280
 *             for i in range(self.m):
 *                 if maxes[i]-mins[i] > size:
 *                     d = i             # <<<<<<<<<<<<<<
 *                     size =  maxes[i]-mins[i]
 *             maxval = maxes[d]
 */
        __pyx_v_d = __pyx_v_i;

        /* "yt/utilities/spatial/ckdtree.pyx":281
 *                 if maxes[i]-mins[i] > size:
 *                     d = i
 *                     size =  maxes[i]-mins[i]             # <<<<<<<<<<<<<<
 *             maxval = maxes[d]
 *             minval = mins[d]
 */
        __pyx_v_size = ((__pyx_v_maxes[__pyx_v_i]) - (__pyx_v_mins[__pyx_v_i]));

        /* "yt/utilities/spatial/ckdtree.pyx":279
 *             size = 0
 *             for i in range(self.m):
 *                 if maxes[i]-mins[i] > size:             # <<<<<<<<<<<<<<
 *                     d = i
 *                     size =  maxes[i]-mins[i]
 */
      }
    }

    /* "yt/utilities/spatial/ckdtree.pyx":282
 *                     d = i
 *                     size =  maxes[i]-mins[i]
 *             maxval = maxes[d]             # <<<<<<<<<<<<<<
 *             minval = mins[d]
 *             if maxval==minval:
 */
    __pyx_v_maxval = (__pyx_v_maxes[__pyx_v_d]);

    /* "yt/utilities/spatial/ckdtree.pyx":283
 *                     size =  maxes[i]-mins[i]
 *             maxval = maxes[d]
 *             minval = mins[d]             # <<<<<<<<<<<<<<
 *             if maxval==minval:
 *                 # all points are identical; warn user?
 */
    __pyx_v_minval = (__pyx_v_mins[__pyx_v_d]);

    /* "yt/utilities/spatial/ckdtree.pyx":284
 *             maxval = maxes[d]
 *             minval = mins[d]
 *             if maxval==minval:             # <<<<<<<<<<<<<<
 *                 # all points are identical; warn user?
 *                 n = <leafnode*>stdlib.malloc(sizeof(leafnode))
 */
    __pyx_t_1 = ((__pyx_v_maxval == __pyx_v_minval) != 0);
    if (__pyx_t_1) {

      /* "yt/utilities/spatial/ckdtree.pyx":286
 *             if maxval==minval:
 *                 # all points are identical; warn user?
 *                 n = <leafnode*>stdlib.malloc(sizeof(leafnode))             # <<<<<<<<<<<<<<
 *                 n.split_dim = -1
 *                 n.start_idx = start_idx
 */
      __pyx_v_n = ((struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_leafnode *)malloc((sizeof(struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_leafnode))));

      /* "yt/utilities/spatial/ckdtree.pyx":287
 *                 # all points are identical; warn user?
 *                 n = <leafnode*>stdlib.malloc(sizeof(leafnode))
 *                 n.split_dim = -1             # <<<<<<<<<<<<<<
 *                 n.start_idx = start_idx
 *                 n.end_idx = end_idx
 */
      __pyx_v_n->split_dim = -1;

      /* "yt/utilities/spatial/ckdtree.pyx":288
 *                 n = <leafnode*>stdlib.malloc(sizeof(leafnode))
 *                 n.split_dim = -1
 *                 n.start_idx = start_idx             # <<<<<<<<<<<<<<
 *                 n.end_idx = end_idx
 *                 return <innernode*>n
 */
      __pyx_v_n->start_idx = __pyx_v_start_idx;

      /* "yt/utilities/spatial/ckdtree.pyx":289
 *                 n.split_dim = -1
 *                 n.start_idx = start_idx
 *                 n.end_idx = end_idx             # <<<<<<<<<<<<<<
 *                 return <innernode*>n
 * 
 */
      __pyx_v_n->end_idx = __pyx_v_end_idx;

      /* "yt/utilities/spatial/ckdtree.pyx":290
 *                 n.start_idx = start_idx
 *                 n.end_idx = end_idx
 *                 return <innernode*>n             # <<<<<<<<<<<<<<
 * 
 *             split = (maxval+minval)/2
 */
      __pyx_r = ((struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_innernode *)__pyx_v_n);
      goto __pyx_L0;

      /* "yt/utilities/spatial/ckdtree.pyx":284
 *             maxval = maxes[d]
 *             minval = mins[d]
 *             if maxval==minval:             # <<<<<<<<<<<<<<
 *                 # all points are identical; warn user?
 *                 n = <leafnode*>stdlib.malloc(sizeof(leafnode))
 */
    }

    /* "yt/utilities/spatial/ckdtree.pyx":292
 *                 return <innernode*>n
 * 
 *             split = (maxval+minval)/2             # <<<<<<<<<<<<<<
 * 
 *             p = start_idx
 */
    __pyx_v_split = ((__pyx_v_maxval + __pyx_v_minval) / 2.0);

    /* "yt/utilities/spatial/ckdtree.pyx":294
 *             split = (maxval+minval)/2
 * 
 *             p = start_idx             # <<<<<<<<<<<<<<
 *             q = end_idx-1
 *             while p<=q:
 */
    __pyx_v_p = __pyx_v_start_idx;

    /* "yt/utilities/spatial/ckdtree.pyx":295
 * 
 *             p = start_idx
 *             q = end_idx-1             # <<<<<<<<<<<<<<
 *             while p<=q:
 *                 if self.raw_data[self.raw_indices[p]*self.m+d]<split:
 */
    __pyx_v_q = (__pyx_v_end_idx - 1);

    /* "yt/utilities/spatial/ckdtree.pyx":296
 *             p = start_idx
 *             q = end_idx-1
 *             while p<=q:             # <<<<<<<<<<<<<<
 *                 if self.raw_data[self.raw_indices[p]*self.m+d]<split:
 *                     p+=1
 */
    while (1) {
      __pyx_t_1 = ((__pyx_v_p <= __pyx_v_q) != 0);
      if (!__pyx_t_1) break;

      /* "yt/utilities/spatial/ckdtree.pyx":297
 *             q = end_idx-1
 *             while p<=q:
 *                 if self.raw_data[self.raw_indices[p]*self.m+d]<split:             # <<<<<<<<<<<<<<
 *                     p+=1
 *                 elif self.raw_data[self.raw_indices[q]*self.m+d]>=split:
 */
      __pyx_t_1 = (((__pyx_v_self->raw_data[(((__pyx_v_self->raw_indices[__pyx_v_p]) * __pyx_v_self->m) + __pyx_v_d)]) < __pyx_v_split) != 0);
      if (__pyx_t_1) {

        /* "yt/utilities/spatial/ckdtree.pyx":298
 *             while p<=q:
 *                 if self.raw_data[self.raw_indices[p]*self.m+d]<split:
 *                     p+=1             # <<<<<<<<<<<<<<
 *                 elif self.raw_data[self.raw_indices[q]*self.m+d]>=split:
 *                     q-=1
 */
        __pyx_v_p = (__pyx_v_p + 1);

        /* "yt/utilities/spatial/ckdtree.pyx":297
 *             q = end_idx-1
 *             while p<=q:
 *                 if self.raw_data[self.raw_indices[p]*self.m+d]<split:             # <<<<<<<<<<<<<<
 *                     p+=1
 *                 elif self.raw_data[self.raw_indices[q]*self.m+d]>=split:
 */
        goto __pyx_L12;
      }

      /* "yt/utilities/spatial/ckdtree.pyx":299
 *                 if self.raw_data[self.raw_indices[p]*self.m+d]<split:
 *                     p+=1
 *                 elif self.raw_data[self.raw_indices[q]*self.m+d]>=split:             # <<<<<<<<<<<<<<
 *                     q-=1
 *                 else:
 */
      __pyx_t_1 = (((__pyx_v_self->raw_data[(((__pyx_v_self->raw_indices[__pyx_v_q]) * __pyx_v_self->m) + __pyx_v_d)]) >= __pyx_v_split) != 0);
      if (__pyx_t_1) {

        /* "yt/utilities/spatial/ckdtree.pyx":300
 *                     p+=1
 *                 elif self.raw_data[self.raw_indices[q]*self.m+d]>=split:
 *                     q-=1             # <<<<<<<<<<<<<<
 *                 else:
 *                     t = self.raw_indices[p]
 */
        __pyx_v_q = (__pyx_v_q - 1);

        /* "yt/utilities/spatial/ckdtree.pyx":299
 *                 if self.raw_data[self.raw_indices[p]*self.m+d]<split:
 *                     p+=1
 *                 elif self.raw_data[self.raw_indices[q]*self.m+d]>=split:             # <<<<<<<<<<<<<<
 *                     q-=1
 *                 else:
 */
        goto __pyx_L12;
      }

      /* "yt/utilities/spatial/ckdtree.pyx":302
 *                     q-=1
 *                 else:
 *                     t = self.raw_indices[p]             # <<<<<<<<<<<<<<
 *                     self.raw_indices[p] = self.raw_indices[q]
 *                     self.raw_indices[q] = t
 */
      /*else*/ {
        __pyx_v_t = (__pyx_v_self->raw_indices[__pyx_v_p]);

        /* "yt/utilities/spatial/ckdtree.pyx":303
 *                 else:
 *                     t = self.raw_indices[p]
 *                     self.raw_indices[p] = self.raw_indices[q]             # <<<<<<<<<<<<<<
 *                     self.raw_indices[q] = t
 *                     p+=1
 */
        (__pyx_v_self->raw_indices[__pyx_v_p]) = (__pyx_v_self->raw_indices[__pyx_v_q]);

        /* "yt/utilities/spatial/ckdtree.pyx":304
 *                     t = self.raw_indices[p]
 *                     self.raw_indices[p] = self.raw_indices[q]
 *                     self.raw_indices[q] = t             # <<<<<<<<<<<<<<
 *                     p+=1
 *                     q-=1
 */
        (__pyx_v_self->raw_indices[__pyx_v_q]) = __pyx_v_t;

        /* "yt/utilities/spatial/ckdtree.pyx":305
 *                     self.raw_indices[p] = self.raw_indices[q]
 *                     self.raw_indices[q] = t
 *                     p+=1             # <<<<<<<<<<<<<<
 *                     q-=1
 * 
 */
        __pyx_v_p = (__pyx_v_p + 1);

        /* "yt/utilities/spatial/ckdtree.pyx":306
 *                     self.raw_indices[q] = t
 *                     p+=1
 *                     q-=1             # <<<<<<<<<<<<<<
 * 
 *             # slide midpoint if necessary
 */
        __pyx_v_q = (__pyx_v_q - 1);
      }
      __pyx_L12:;
    }

    /* "yt/utilities/spatial/ckdtree.pyx":309
 * 
 *             # slide midpoint if necessary
 *             if p==start_idx:             # <<<<<<<<<<<<<<
 *                 # no points less than split
 *                 j = start_idx
 */
    __pyx_t_1 = ((__pyx_v_p == __pyx_v_start_idx) != 0);
    if (__pyx_t_1) {

      /* "yt/utilities/spatial/ckdtree.pyx":311
 *             if p==start_idx:
 *                 # no points less than split
 *                 j = start_idx             # <<<<<<<<<<<<<<
 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 for i in range(start_idx+1, end_idx):
 */
      __pyx_v_j = __pyx_v_start_idx;

      /* "yt/utilities/spatial/ckdtree.pyx":312
 *                 # no points less than split
 *                 j = start_idx
 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]             # <<<<<<<<<<<<<<
 *                 for i in range(start_idx+1, end_idx):
 *                     if self.raw_data[self.raw_indices[i]*self.m+d]<split:
 */
      __pyx_v_split = (__pyx_v_self->raw_data[(((__pyx_v_self->raw_indices[__pyx_v_j]) * __pyx_v_self->m) + __pyx_v_d)]);

      /* "yt/utilities/spatial/ckdtree.pyx":313
 *                 j = start_idx
 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 for i in range(start_idx+1, end_idx):             # <<<<<<<<<<<<<<
 *                     if self.raw_data[self.raw_indices[i]*self.m+d]<split:
 *                         j = i
 */
      __pyx_t_2 = __pyx_v_end_idx;
      for (__pyx_t_3 = (__pyx_v_start_idx + 1); __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
        __pyx_v_i = __pyx_t_3;

        /* "yt/utilities/spatial/ckdtree.pyx":314
 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 for i in range(start_idx+1, end_idx):
 *                     if self.raw_data[self.raw_indices[i]*self.m+d]<split:             # <<<<<<<<<<<<<<
 *                         j = i
 *                         split = self.raw_data[self.raw_indices[j]*self.m+d]
 */
        __pyx_t_1 = (((__pyx_v_self->raw_data[(((__pyx_v_self->raw_indices[__pyx_v_i]) * __pyx_v_self->m) + __pyx_v_d)]) < __pyx_v_split) != 0);
        if (__pyx_t_1) {

          /* "yt/utilities/spatial/ckdtree.pyx":315
 *                 for i in range(start_idx+1, end_idx):
 *                     if self.raw_data[self.raw_indices[i]*self.m+d]<split:
 *                         j = i             # <<<<<<<<<<<<<<
 *                         split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 t = self.raw_indices[start_idx]
 */
          __pyx_v_j = __pyx_v_i;

          /* "yt/utilities/spatial/ckdtree.pyx":316
 *                     if self.raw_data[self.raw_indices[i]*self.m+d]<split:
 *                         j = i
 *                         split = self.raw_data[self.raw_indices[j]*self.m+d]             # <<<<<<<<<<<<<<
 *                 t = self.raw_indices[start_idx]
 *                 self.raw_indices[start_idx] = self.raw_indices[j]
 */
          __pyx_v_split = (__pyx_v_self->raw_data[(((__pyx_v_self->raw_indices[__pyx_v_j]) * __pyx_v_self->m) + __pyx_v_d)]);

          /* "yt/utilities/spatial/ckdtree.pyx":314
 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 for i in range(start_idx+1, end_idx):
 *                     if self.raw_data[self.raw_indices[i]*self.m+d]<split:             # <<<<<<<<<<<<<<
 *                         j = i
 *                         split = self.raw_data[self.raw_indices[j]*self.m+d]
 */
        }
      }

      /* "yt/utilities/spatial/ckdtree.pyx":317
 *                         j = i
 *                         split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 t = self.raw_indices[start_idx]             # <<<<<<<<<<<<<<
 *                 self.raw_indices[start_idx] = self.raw_indices[j]
 *                 self.raw_indices[j] = t
 */
      __pyx_v_t = (__pyx_v_self->raw_indices[__pyx_v_start_idx]);

      /* "yt/utilities/spatial/ckdtree.pyx":318
 *                         split = self.raw_data[self.raw_indices[j]*self.m+d]
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 *                 self.raw_indices[start_idx] = self.raw_indices[j]
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 *                 q = start_idx
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 */
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 *             # slide midpoint if necessary
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 *                 q = start_idx
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 *             elif p==end_idx:
 *                 # no points greater than split
 *                 j = end_idx-1             # <<<<<<<<<<<<<<
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 */
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 *                 # no points greater than split
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 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]             # <<<<<<<<<<<<<<
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 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 for i in range(start_idx, end_idx-1):             # <<<<<<<<<<<<<<
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 *                 split = self.raw_data[self.raw_indices[j]*self.m+d]
 *                 for i in range(start_idx, end_idx-1):
 *                     if self.raw_data[self.raw_indices[i]*self.m+d]>split:             # <<<<<<<<<<<<<<
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 */
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          /* "yt/utilities/spatial/ckdtree.pyx":458
 *                             heapremove(&neighbors)
 *                         neighbor.priority = -d
 *                         neighbor.contents.intdata = self.raw_indices[i]             # <<<<<<<<<<<<<<
 *                         heappush(&neighbors,neighbor)
 * 
 */
          __pyx_v_neighbor.contents.intdata = (__pyx_v_self->raw_indices[__pyx_v_i]);

          /* "yt/utilities/spatial/ckdtree.pyx":459
 *                         neighbor.priority = -d
 *                         neighbor.contents.intdata = self.raw_indices[i]
 *                         heappush(&neighbors,neighbor)             # <<<<<<<<<<<<<<
 * 
 *                         # adjust upper bound for efficiency
 */
          __pyx_t_1 = __pyx_f_2yt_9utilities_7spatial_7ckdtree_heappush((&__pyx_v_neighbors), __pyx_v_neighbor); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 459; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
          __Pyx_GOTREF(__pyx_t_1);
          __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

          /* "yt/utilities/spatial/ckdtree.pyx":462
 * 
 *                         # adjust upper bound for efficiency
 *                         if neighbors.n==k:             # <<<<<<<<<<<<<<
 *                             distance_upper_bound = -heappeek(&neighbors).priority
 *                 # done with this node, get another
 */
          __pyx_t_5 = ((__pyx_v_neighbors.n == __pyx_v_k) != 0);
          if (__pyx_t_5) {

            /* "yt/utilities/spatial/ckdtree.pyx":463
 *                         # adjust upper bound for efficiency
 *                         if neighbors.n==k:
 *                             distance_upper_bound = -heappeek(&neighbors).priority             # <<<<<<<<<<<<<<
 *                 # done with this node, get another
 *                 stdlib.free(inf)
 */
            __pyx_v_distance_upper_bound = (-__pyx_f_2yt_9utilities_7spatial_7ckdtree_heappeek((&__pyx_v_neighbors)).priority);

            /* "yt/utilities/spatial/ckdtree.pyx":462
 * 
 *                         # adjust upper bound for efficiency
 *                         if neighbors.n==k:             # <<<<<<<<<<<<<<
 *                             distance_upper_bound = -heappeek(&neighbors).priority
 *                 # done with this node, get another
 */
          }

          /* "yt/utilities/spatial/ckdtree.pyx":453
 *                         di = dmin(dabs(x[i2] - y), period[i2] - dabs(x[i2] - y))
 *                         d += di*di
 *                     if d<distance_upper_bound:             # <<<<<<<<<<<<<<
 *                         # replace furthest neighbor
 *                         if neighbors.n==k:
 */
        }
      }

      /* "yt/utilities/spatial/ckdtree.pyx":465
 *                             distance_upper_bound = -heappeek(&neighbors).priority
 *                 # done with this node, get another
 *                 stdlib.free(inf)             # <<<<<<<<<<<<<<
 *                 if q.n==0:
 *                     # no more nodes to visit
 */
      free(__pyx_v_inf);

      /* "yt/utilities/spatial/ckdtree.pyx":466
 *                 # done with this node, get another
 *                 stdlib.free(inf)
 *                 if q.n==0:             # <<<<<<<<<<<<<<
 *                     # no more nodes to visit
 *                     break
 */
      __pyx_t_5 = ((__pyx_v_q.n == 0) != 0);
      if (__pyx_t_5) {

        /* "yt/utilities/spatial/ckdtree.pyx":468
 *                 if q.n==0:
 *                     # no more nodes to visit
 *                     break             # <<<<<<<<<<<<<<
 *                 else:
 *                     it = heappop(&q)
 */
        goto __pyx_L10_break;

        /* "yt/utilities/spatial/ckdtree.pyx":466
 *                 # done with this node, get another
 *                 stdlib.free(inf)
 *                 if q.n==0:             # <<<<<<<<<<<<<<
 *                     # no more nodes to visit
 *                     break
 */
      }

      /* "yt/utilities/spatial/ckdtree.pyx":470
 *                     break
 *                 else:
 *                     it = heappop(&q)             # <<<<<<<<<<<<<<
 *                     inf = <nodeinfo*>it.contents.ptrdata
 *                     min_distance = it.priority
 */
      /*else*/ {
        __pyx_v_it = __pyx_f_2yt_9utilities_7spatial_7ckdtree_heappop((&__pyx_v_q));

        /* "yt/utilities/spatial/ckdtree.pyx":471
 *                 else:
 *                     it = heappop(&q)
 *                     inf = <nodeinfo*>it.contents.ptrdata             # <<<<<<<<<<<<<<
 *                     min_distance = it.priority
 *             else:
 */
        __pyx_v_inf = ((struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_nodeinfo *)__pyx_v_it.contents.ptrdata);

        /* "yt/utilities/spatial/ckdtree.pyx":472
 *                     it = heappop(&q)
 *                     inf = <nodeinfo*>it.contents.ptrdata
 *                     min_distance = it.priority             # <<<<<<<<<<<<<<
 *             else:
 *                 inode = <innernode*>inf.node
 */
        __pyx_t_8 = __pyx_v_it.priority;
        __pyx_v_min_distance = __pyx_t_8;
      }

      /* "yt/utilities/spatial/ckdtree.pyx":443
 * 
 *         while True:
 *             if inf.node.split_dim==-1:             # <<<<<<<<<<<<<<
 *                 node = <leafnode*>inf.node
 * 
 */
      goto __pyx_L11;
    }

    /* "yt/utilities/spatial/ckdtree.pyx":474
 *                     min_distance = it.priority
 *             else:
 *                 inode = <innernode*>inf.node             # <<<<<<<<<<<<<<
 * 
 *                 # we don't push cells that are too far onto the queue at all,
 */
    /*else*/ {
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      /* "yt/utilities/spatial/ckdtree.pyx":479
 *                 # but since the distance_upper_bound decreases, we might get
 *                 # here even if the cell's too far
 *                 if min_distance>distance_upper_bound*epsfac:             # <<<<<<<<<<<<<<
 *                     # since this is the nearest cell, we're done, bail out
 *                     stdlib.free(inf)
 */
      __pyx_t_5 = ((__pyx_v_min_distance > (__pyx_v_distance_upper_bound * __pyx_v_epsfac)) != 0);
      if (__pyx_t_5) {

        /* "yt/utilities/spatial/ckdtree.pyx":481
 *                 if min_distance>distance_upper_bound*epsfac:
 *                     # since this is the nearest cell, we're done, bail out
 *                     stdlib.free(inf)             # <<<<<<<<<<<<<<
 *                     # free all the nodes still on the heap
 *                     for i in range(q.n):
 */
        free(__pyx_v_inf);

        /* "yt/utilities/spatial/ckdtree.pyx":483
 *                     stdlib.free(inf)
 *                     # free all the nodes still on the heap
 *                     for i in range(q.n):             # <<<<<<<<<<<<<<
 *                         stdlib.free(q.heap[i].contents.ptrdata)
 *                     break
 */
        __pyx_t_3 = __pyx_v_q.n;
        for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
          __pyx_v_i = __pyx_t_4;

          /* "yt/utilities/spatial/ckdtree.pyx":484
 *                     # free all the nodes still on the heap
 *                     for i in range(q.n):
 *                         stdlib.free(q.heap[i].contents.ptrdata)             # <<<<<<<<<<<<<<
 *                     break
 * 
 */
          free((__pyx_v_q.heap[__pyx_v_i]).contents.ptrdata);
        }

        /* "yt/utilities/spatial/ckdtree.pyx":485
 *                     for i in range(q.n):
 *                         stdlib.free(q.heap[i].contents.ptrdata)
 *                     break             # <<<<<<<<<<<<<<
 * 
 *                 # set up children for searching
 */
        goto __pyx_L10_break;

        /* "yt/utilities/spatial/ckdtree.pyx":479
 *                 # but since the distance_upper_bound decreases, we might get
 *                 # here even if the cell's too far
 *                 if min_distance>distance_upper_bound*epsfac:             # <<<<<<<<<<<<<<
 *                     # since this is the nearest cell, we're done, bail out
 *                     stdlib.free(inf)
 */
      }

      /* "yt/utilities/spatial/ckdtree.pyx":488
 * 
 *                 # set up children for searching
 *                 if x[inode.split_dim]<inode.split:             # <<<<<<<<<<<<<<
 *                     near = inode.less
 *                     far = inode.greater
 */
      __pyx_t_5 = (((__pyx_v_x[__pyx_v_inode->split_dim]) < __pyx_v_inode->split) != 0);
      if (__pyx_t_5) {

        /* "yt/utilities/spatial/ckdtree.pyx":489
 *                 # set up children for searching
 *                 if x[inode.split_dim]<inode.split:
 *                     near = inode.less             # <<<<<<<<<<<<<<
 *                     far = inode.greater
 *                 else:
 */
        __pyx_t_2 = __pyx_v_inode->less;
        __pyx_v_near = __pyx_t_2;

        /* "yt/utilities/spatial/ckdtree.pyx":490
 *                 if x[inode.split_dim]<inode.split:
 *                     near = inode.less
 *                     far = inode.greater             # <<<<<<<<<<<<<<
 *                 else:
 *                     near = inode.greater
 */
        __pyx_t_2 = __pyx_v_inode->greater;
        __pyx_v_far = __pyx_t_2;

        /* "yt/utilities/spatial/ckdtree.pyx":488
 * 
 *                 # set up children for searching
 *                 if x[inode.split_dim]<inode.split:             # <<<<<<<<<<<<<<
 *                     near = inode.less
 *                     far = inode.greater
 */
        goto __pyx_L23;
      }

      /* "yt/utilities/spatial/ckdtree.pyx":492
 *                     far = inode.greater
 *                 else:
 *                     near = inode.greater             # <<<<<<<<<<<<<<
 *                     far = inode.less
 * 
 */
      /*else*/ {
        __pyx_t_2 = __pyx_v_inode->greater;
        __pyx_v_near = __pyx_t_2;

        /* "yt/utilities/spatial/ckdtree.pyx":493
 *                 else:
 *                     near = inode.greater
 *                     far = inode.less             # <<<<<<<<<<<<<<
 * 
 *                 # near child is at the same distance as the current node
 */
        __pyx_t_2 = __pyx_v_inode->less;
        __pyx_v_far = __pyx_t_2;
      }
      __pyx_L23:;

      /* "yt/utilities/spatial/ckdtree.pyx":498
 *                 # we're going here next, so no point pushing it on the queue
 *                 # no need to recompute the distance or the side_distances
 *                 inf.node = near             # <<<<<<<<<<<<<<
 * 
 *                 # far child is further by an amount depending only
 */
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      /* "yt/utilities/spatial/ckdtree.pyx":503
 *                 # on the split value; compute its distance and side_distances
 *                 # and push it on the queue if it's near enough
 *                 inf2 = <nodeinfo*>stdlib.malloc(sizeof(nodeinfo)+self.m*sizeof(np.float64_t))             # <<<<<<<<<<<<<<
 *                 it2.contents.ptrdata = <char*> inf2
 *                 inf2.node = far
 */
      __pyx_v_inf2 = ((struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_nodeinfo *)malloc(((sizeof(struct __pyx_t_2yt_9utilities_7spatial_7ckdtree_nodeinfo)) + (__pyx_v_self->m * (sizeof(__pyx_t_5numpy_float64_t))))));

      /* "yt/utilities/spatial/ckdtree.pyx":504
 *                 # and push it on the queue if it's near enough
 *                 inf2 = <nodeinfo*>stdlib.malloc(sizeof(nodeinfo)+self.m*sizeof(np.float64_t))
 *                 it2.contents.ptrdata = <char*> inf2             # <<<<<<<<<<<<<<
 *                 inf2.node = far
 * 
 */
      __pyx_v_it2.contents.ptrdata = ((char *)__pyx_v_inf2);

      /* "yt/utilities/spatial/ckdtree.pyx":505
 *                 inf2 = <nodeinfo*>stdlib.malloc(sizeof(nodeinfo)+self.m*sizeof(np.float64_t))
 *                 it2.contents.ptrdata = <char*> inf2
 *                 inf2.node = far             # <<<<<<<<<<<<<<
 * 
 *                 # Periodicity added by S Skory
 */
      __pyx_v_inf2->node = __pyx_v_far;

      /* "yt/utilities/spatial/ckdtree.pyx":508
 * 
 *                 # Periodicity added by S Skory
 *                 m_left = dmin( dabs(far.mins[inode.split_dim] - x[inode.split_dim]), \             # <<<<<<<<<<<<<<
 *                     period[inode.split_dim] -  dabs(far.mins[inode.split_dim] - x[inode.split_dim]))
 *                 m_right = dmin( dabs(far.maxes[inode.split_dim] - x[inode.split_dim]), \
 */
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      /* "yt/utilities/spatial/ckdtree.pyx":510
 *                 m_left = dmin( dabs(far.mins[inode.split_dim] - x[inode.split_dim]), \
 *                     period[inode.split_dim] -  dabs(far.mins[inode.split_dim] - x[inode.split_dim]))
 *                 m_right = dmin( dabs(far.maxes[inode.split_dim] - x[inode.split_dim]), \             # <<<<<<<<<<<<<<
 *                     period[inode.split_dim] -  dabs(far.maxes[inode.split_dim] - x[inode.split_dim]))
 *                 m = dmin(m_left,m_right)
 */
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      /* "yt/utilities/spatial/ckdtree.pyx":512
 *                 m_right = dmin( dabs(far.maxes[inode.split_dim] - x[inode.split_dim]), \
 *                     period[inode.split_dim] -  dabs(far.maxes[inode.split_dim] - x[inode.split_dim]))
 *                 m = dmin(m_left,m_right)             # <<<<<<<<<<<<<<
 * 
 *                 # most side distances unchanged
 */
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      /* "yt/utilities/spatial/ckdtree.pyx":515
 * 
 *                 # most side distances unchanged
 *                 for i in range(self.m):             # <<<<<<<<<<<<<<
 *                     inf2.side_distances[i] = inf.side_distances[i]
 * 
 */
      __pyx_t_3 = __pyx_v_self->m;
      for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
        __pyx_v_i = __pyx_t_4;

        /* "yt/utilities/spatial/ckdtree.pyx":516
 *                 # most side distances unchanged
 *                 for i in range(self.m):
 *                     inf2.side_distances[i] = inf.side_distances[i]             # <<<<<<<<<<<<<<
 * 
 *                 # one side distance changes
 */
        (__pyx_v_inf2->side_distances[__pyx_v_i]) = (__pyx_v_inf->side_distances[__pyx_v_i]);
      }

      /* "yt/utilities/spatial/ckdtree.pyx":520
 *                 # one side distance changes
 *                 # we can adjust the minimum distance without recomputing
 *                 inf2.side_distances[inode.split_dim] = m*m             # <<<<<<<<<<<<<<
 *                 #far_min_distance = min_distance - inf.side_distances[inode.split_dim] + inf2.side_distances[inode.split_dim]
 *                 far_min_distance = m*m
 */
      (__pyx_v_inf2->side_distances[__pyx_v_inode->split_dim]) = (__pyx_v_m * __pyx_v_m);

      /* "yt/utilities/spatial/ckdtree.pyx":522
 *                 inf2.side_distances[inode.split_dim] = m*m
 *                 #far_min_distance = min_distance - inf.side_distances[inode.split_dim] + inf2.side_distances[inode.split_dim]
 *                 far_min_distance = m*m             # <<<<<<<<<<<<<<
 * 
 *                 it2.priority = far_min_distance
 */
      __pyx_v_far_min_distance = (__pyx_v_m * __pyx_v_m);

      /* "yt/utilities/spatial/ckdtree.pyx":524
 *                 far_min_distance = m*m
 * 
 *                 it2.priority = far_min_distance             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_it2.priority = __pyx_v_far_min_distance;

      /* "yt/utilities/spatial/ckdtree.pyx":528
 * 
 *                 # far child might be too far, if so, don't bother pushing it
 *                 if far_min_distance<=distance_upper_bound*epsfac:             # <<<<<<<<<<<<<<
 *                     heappush(&q,it2)
 *                 else:
 */
      __pyx_t_5 = ((__pyx_v_far_min_distance <= (__pyx_v_distance_upper_bound * __pyx_v_epsfac)) != 0);
      if (__pyx_t_5) {

        /* "yt/utilities/spatial/ckdtree.pyx":529
 *                 # far child might be too far, if so, don't bother pushing it
 *                 if far_min_distance<=distance_upper_bound*epsfac:
 *                     heappush(&q,it2)             # <<<<<<<<<<<<<<
 *                 else:
 *                     stdlib.free(inf2)
 */
        __pyx_t_1 = __pyx_f_2yt_9utilities_7spatial_7ckdtree_heappush((&__pyx_v_q), __pyx_v_it2); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 529; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
        __Pyx_GOTREF(__pyx_t_1);
        __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

        /* "yt/utilities/spatial/ckdtree.pyx":528
 * 
 *                 # far child might be too far, if so, don't bother pushing it
 *                 if far_min_distance<=distance_upper_bound*epsfac:             # <<<<<<<<<<<<<<
 *                     heappush(&q,it2)
 *                 else:
 */
        goto __pyx_L26;
      }

      /* "yt/utilities/spatial/ckdtree.pyx":531
 *                     heappush(&q,it2)
 *                 else:
 *                     stdlib.free(inf2)             # <<<<<<<<<<<<<<
 *                     # just in case
 *                     it2.contents.ptrdata = <char*> 0
 */
      /*else*/ {
        free(__pyx_v_inf2);

        /* "yt/utilities/spatial/ckdtree.pyx":533
 *                     stdlib.free(inf2)
 *                     # just in case
 *                     it2.contents.ptrdata = <char*> 0             # <<<<<<<<<<<<<<
 * 
 *         # fill output arrays with sorted neighbors
 */
        __pyx_v_it2.contents.ptrdata = ((char *)0);
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      __pyx_L26:;
    }
    __pyx_L11:;
  }
  __pyx_L10_break:;

  /* "yt/utilities/spatial/ckdtree.pyx":536
 * 
 *         # fill output arrays with sorted neighbors
 *         for i in range(neighbors.n-1,-1,-1):             # <<<<<<<<<<<<<<
 *             neighbor = heappop(&neighbors) # FIXME: neighbors may be realloced
 *             result_indices[i] = neighbor.contents.intdata
 */
  for (__pyx_t_3 = (__pyx_v_neighbors.n - 1); __pyx_t_3 > -1; __pyx_t_3-=1) {
    __pyx_v_i = __pyx_t_3;

    /* "yt/utilities/spatial/ckdtree.pyx":537
 *         # fill output arrays with sorted neighbors
 *         for i in range(neighbors.n-1,-1,-1):
 *             neighbor = heappop(&neighbors) # FIXME: neighbors may be realloced             # <<<<<<<<<<<<<<
 *             result_indices[i] = neighbor.contents.intdata
 *             result_distances[i] = (-neighbor.priority) #**(1./p) S. Skory
 */
    __pyx_v_neighbor = __pyx_f_2yt_9utilities_7spatial_7ckdtree_heappop((&__pyx_v_neighbors));

    /* "yt/utilities/spatial/ckdtree.pyx":538
 *         for i in range(neighbors.n-1,-1,-1):
 *             neighbor = heappop(&neighbors) # FIXME: neighbors may be realloced
 *             result_indices[i] = neighbor.contents.intdata             # <<<<<<<<<<<<<<
 *             result_distances[i] = (-neighbor.priority) #**(1./p) S. Skory
 * 
 */
    __pyx_t_4 = __pyx_v_neighbor.contents.intdata;
    (__pyx_v_result_indices[__pyx_v_i]) = __pyx_t_4;

    /* "yt/utilities/spatial/ckdtree.pyx":539
 *             neighbor = heappop(&neighbors) # FIXME: neighbors may be realloced
 *             result_indices[i] = neighbor.contents.intdata
 *             result_distances[i] = (-neighbor.priority) #**(1./p) S. Skory             # <<<<<<<<<<<<<<
 * 
 *         heapdestroy(&q)
 */
    (__pyx_v_result_distances[__pyx_v_i]) = (-__pyx_v_neighbor.priority);
  }

  /* "yt/utilities/spatial/ckdtree.pyx":541
 *             result_distances[i] = (-neighbor.priority) #**(1./p) S. Skory
 * 
 *         heapdestroy(&q)             # <<<<<<<<<<<<<<
 *         heapdestroy(&neighbors)
 * 
 */
  __pyx_t_1 = __pyx_f_2yt_9utilities_7spatial_7ckdtree_heapdestroy((&__pyx_v_q)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 541; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "yt/utilities/spatial/ckdtree.pyx":542
 * 
 *         heapdestroy(&q)
 *         heapdestroy(&neighbors)             # <<<<<<<<<<<<<<
 * 
 *     def query(cKDTree self, object x, int k=1, np.float64_t eps=0, np.float64_t p=2,
 */
  __pyx_t_1 = __pyx_f_2yt_9utilities_7spatial_7ckdtree_heapdestroy((&__pyx_v_neighbors)); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 542; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_t_1);
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;

  /* "yt/utilities/spatial/ckdtree.pyx":377
 *         self.__free_tree(self.tree)
 * 
 *     cdef void __query(cKDTree self,             # <<<<<<<<<<<<<<
 *             np.float64_t*result_distances,
 *             np.int64_t*result_indices,
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_XDECREF(__pyx_t_1);
  __Pyx_WriteUnraisable("yt.utilities.spatial.ckdtree.cKDTree.__query", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 0);
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
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/* "yt/utilities/spatial/ckdtree.pyx":544
 *         heapdestroy(&neighbors)
 * 
 *     def query(cKDTree self, object x, int k=1, np.float64_t eps=0, np.float64_t p=2,             # <<<<<<<<<<<<<<
 *             np.float64_t distance_upper_bound=infinity, object period=None):
 *         """query(self, x, k=1, eps=0, p=2, distance_upper_bound=np.inf,
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 *             if not is_inside[i]: continue
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 *             if part_max_dens < peakthresh: continue
 *             # Loop over nMerge closest nearest neighbors.
 *             for j in range(self.m):             # <<<<<<<<<<<<<<
 *                 query[j] = pos[i,j]
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 *             # Loop over nMerge closest nearest neighbors.
 *             for j in range(self.m):
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 *             self.__query(dist_temp, tags_temp,
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 *             for j in range(self.m):
 *                 query[j] = pos[i,j]
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 *                          query, nn, 0.0,
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 *                          query, nn, 0.0,
 *                          2, infinity, period)
 *             same_count = 0             # <<<<<<<<<<<<<<
 *             for j in xrange(int(nMerge+1)):
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 *                          2, infinity, period)
 *             same_count = 0
 *             for j in xrange(int(nMerge+1)):             # <<<<<<<<<<<<<<
 *                 thisNN = tags_temp[j+1] # Don't consider ourselves at tags_temp[0]
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 *             same_count = 0
 *             for j in xrange(int(nMerge+1)):
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 */
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 *                 # If our neighbor is in the same chain, move on.
 *                 # Move on if these chains are already connected:
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 *                         thisNN_chainID in chain_map[chainID_i]:
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 */
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 *                 if chainID_i == thisNN_chainID or \
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 *                     continue
 *                 # Everything immediately below is for
 */
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 *                         thisNN_chainID in chain_map[chainID_i]:
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 *                 # Everything immediately below is for
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 */
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 *                 # If our neighbor is in the same chain, move on.
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 *                         thisNN_chainID in chain_map[chainID_i]:
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 */
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        /* "yt/utilities/spatial/ckdtree.pyx":825
 *                 if thisNN_chainID >= 0:
 *                     # Find thisNN's chain's max_dens.
 *                     thisNN_max_dens = densest_in_chain[thisNN_chainID]             # <<<<<<<<<<<<<<
 *                     # We're only linking peakthresh chains
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 *                     thisNN_max_dens = densest_in_chain[thisNN_chainID]
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 *                     if thisNN_max_dens < peakthresh: continue
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        __pyx_t_16 = -1;
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          __pyx_t_26 += __pyx_pybuffernd_density.diminfo[0].shape;
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          __Pyx_RaiseBufferIndexError(__pyx_t_16);
          {__pyx_filename = __pyx_f[0]; __pyx_lineno = 829; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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 *                     boundary_density = (density[thisNN] + density[i]) / 2.
 *                     # Don't connect if the boundary is too low.
 *                     if boundary_density < saddlethresh: continue             # <<<<<<<<<<<<<<
 *                     # Mark these chains as related.
 *                     chain_map[thisNN_chainID].add(chainID_i)
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          goto __pyx_L12_continue;
        }

        /* "yt/utilities/spatial/ckdtree.pyx":833
 *                     if boundary_density < saddlethresh: continue
 *                     # Mark these chains as related.
 *                     chain_map[thisNN_chainID].add(chainID_i)             # <<<<<<<<<<<<<<
 *                     chain_map[chainID_i].add(thisNN_chainID)
 *             if same_count == nMerge + 1:
 */
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}

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;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject* args = PyTuple_Pack(1, arg);
    return (likely(args)) ? __Pyx_PyObject_Call(func, args, NULL) : NULL;
}
#endif

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

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(PyObject_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
  unsigned int n = 1;
  return *(unsigned char*)(&n) != 0;
}
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;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 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 int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1)
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
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 'c': return "'char'";
    case 'b': return "'signed 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 's': case 'p': return "a string";
    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': case 's': case 'p': 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': case 's': case 'p': 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, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': 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;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_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':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        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, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  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 (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __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 %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      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;
        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 CYTHON_INLINE PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
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 '\r':
      case '\n':
        ++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':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++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;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        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;
        }
      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': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
      case 's':
        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;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) 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 (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_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_SetString(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyList_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (wraparound & unlikely(i < 0)) i += PyTuple_GET_SIZE(o);
    if ((!boundscheck) || likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely((n >= 0) & (n < PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely((n >= 0) & (n < PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (PyErr_ExceptionMatches(PyExc_OverflowError))
                        PyErr_Clear();
                    else
                        return NULL;
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(PyObject* obj,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (PyErr_ExceptionMatches(PyExc_OverflowError))
                    PyErr_Clear();
                else
                    goto bad;
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_COMPILING_IN_CPYTHON
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

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

#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx_PyFloat_DivideCObj(PyObject *op1, PyObject *op2, double floatval, CYTHON_UNUSED int inplace) {
    const double a = floatval;
    double b, result;
    if (likely(PyFloat_CheckExact(op2))) {
        b = PyFloat_AS_DOUBLE(op2);
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        b = (double) PyInt_AS_LONG(op2);
    } else
    #endif
    if (likely(PyLong_CheckExact(op2))) {
        #if CYTHON_USE_PYLONG_INTERNALS && PY_MAJOR_VERSION >= 3
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        switch (size) {
            case  0: b = 0.0; break;
            case -1: b = -(double) digits[0]; break;
            case  1: b = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    b = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (b < (double) (1L<<53))) {
                        if (size == -2)
                            b = -b;
                        break;
                    }
                }
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (b < (double) (1L<<53))) {
                        if (size == -3)
                            b = -b;
                        break;
                    }
                }
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (b < (double) (1L<<53))) {
                        if (size == -4)
                            b = -b;
                        break;
                    }
                }
            default:
        #else
        {
        #endif
            b = PyLong_AsDouble(op2);
            if (unlikely(b == -1.0 && PyErr_Occurred())) return NULL;
        }
    } else {
        return (inplace ? __Pyx_PyNumber_InPlaceDivide(op1, op2) : __Pyx_PyNumber_Divide(op1, op2));
    }
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

static void __Pyx_RaiseArgumentTypeInvalid(const char* name, PyObject *obj, PyTypeObject *type) {
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
}
static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (likely(Py_TYPE(obj) == type)) return 1;
        #if PY_MAJOR_VERSION == 2
        else if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(PyObject_TypeCheck(obj, type))) return 1;
    }
    __Pyx_RaiseArgumentTypeInvalid(name, obj, type);
    return 0;
}

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

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

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    py_code = __pyx_find_code_object(c_line ? c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' 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) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif


          #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) -(((((int)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) -(((((((int)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) -(((((((((int)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

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

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

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int64(npy_int64 value) {
    const npy_int64 neg_one = (npy_int64) -1, const_zero = (npy_int64) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int64) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int64) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(npy_int64) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int64) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int64),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) -(((((long)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) -(((((((long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) -(((((((((long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
