/* Generated by Cython 0.24.1 */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03020000)
    #error Cython requires Python 2.6+ or Python 3.2+.
#else
#define CYTHON_ABI "0_24_1"
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
  #endif
  #ifndef __cdecl
    #define __cdecl
  #endif
  #ifndef __fastcall
    #define __fastcall
  #endif
#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
#endif
#if !defined(CYTHON_USE_PYLONG_INTERNALS) && CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x02070000
  #define CYTHON_USE_PYLONG_INTERNALS 1
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
  #undef SHIFT
  #undef BASE
  #undef MASK
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
#endif
#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
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  #define __Pyx_DefaultClassType PyClass_Type
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  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
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#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
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  #define CYTHON_PEP393_ENABLED 0
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if PY_VERSION_HEX >= 0x030500B1
#define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
#define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
#elif CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
typedef struct {
    unaryfunc am_await;
    unaryfunc am_aiter;
    unaryfunc am_anext;
} __Pyx_PyAsyncMethodsStruct;
#define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
#else
#define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)

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

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif


#define __PYX_ERR(f_index, lineno, Ln_error) \
{ \
  __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \
}

#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif

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

#define __PYX_HAVE__pandas___join
#define __PYX_HAVE_API__pandas___join
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "numpy_helper.h"
#include "headers/stdint.h"
#include "pythread.h"
#include "khash_python.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; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(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
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(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 PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

/* None.proto */
#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
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/* "numpy.pxd":726
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "numpy.pxd":727
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "numpy.pxd":728
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "numpy.pxd":729
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "numpy.pxd":733
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "numpy.pxd":734
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "numpy.pxd":735
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "numpy.pxd":736
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "numpy.pxd":740
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float16    float16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t
 */
typedef npy_float16 __pyx_t_5numpy_float16_t;

/* "numpy.pxd":741
 * 
 * ctypedef npy_float16    float16_t
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "numpy.pxd":742
 * ctypedef npy_float16    float16_t
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "numpy.pxd":751
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "numpy.pxd":752
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "numpy.pxd":753
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "numpy.pxd":755
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "numpy.pxd":756
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "numpy.pxd":757
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "numpy.pxd":759
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "numpy.pxd":760
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "numpy.pxd":762
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "numpy.pxd":763
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "numpy.pxd":764
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
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struct __pyx_obj_6pandas_9hashtable_Int64HashTable;
struct __pyx_obj_6pandas_9hashtable_Float64HashTable;
struct __pyx_obj_6pandas_9hashtable_PyObjectHashTable;

/* "numpy.pxd":766
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
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typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "numpy.pxd":767
 * 
 * ctypedef npy_cfloat      cfloat_t
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 * 
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typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "numpy.pxd":768
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
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typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "numpy.pxd":770
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 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
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typedef npy_cdouble __pyx_t_5numpy_complex_t;

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 * 
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 * 
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struct __pyx_obj_6pandas_9hashtable_HashTable {
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/* "hashtable.pxd":8
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 * 
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 * 
 */
struct __pyx_obj_6pandas_9hashtable_Int64HashTable {
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  kh_int64_t *table;
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/* "hashtable.pxd":14
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 * 
 * cdef class Float64HashTable(HashTable):             # <<<<<<<<<<<<<<
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 */
struct __pyx_obj_6pandas_9hashtable_Float64HashTable {
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  struct __pyx_vtabstruct_6pandas_9hashtable_Float64HashTable *__pyx_vtab;
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/* "hashtable.pxd":20
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struct __pyx_obj_6pandas_9hashtable_PyObjectHashTable {
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struct __pyx_vtabstruct_6pandas_9hashtable_Int64HashTable {
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/* "hashtable.pxd":14
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 * 
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struct __pyx_vtabstruct_6pandas_9hashtable_Float64HashTable {
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static struct __pyx_vtabstruct_6pandas_9hashtable_Float64HashTable *__pyx_vtabptr_6pandas_9hashtable_Float64HashTable;


/* "hashtable.pxd":20
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 * 
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 */

struct __pyx_vtabstruct_6pandas_9hashtable_PyObjectHashTable {
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  PyObject *(*set_item)(struct __pyx_obj_6pandas_9hashtable_PyObjectHashTable *, PyObject *, Py_ssize_t, int __pyx_skip_dispatch);
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static struct __pyx_vtabstruct_6pandas_9hashtable_PyObjectHashTable *__pyx_vtabptr_6pandas_9hashtable_PyObjectHashTable;

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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectCallOneArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* SaveResetException.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* PyErrExceptionMatches.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* GetException.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* WriteUnraisableException.proto */
static void __Pyx_WriteUnraisable(const char *name, int clineno,
                                  int lineno, const char *filename,
                                  int full_traceback, int nogil);

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyObject *dict);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

#if PY_MAJOR_VERSION < 3
    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
    static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
    #define __Pyx_GetBuffer PyObject_GetBuffer
    #define __Pyx_ReleaseBuffer PyBuffer_Release
#endif


/* None.proto */
static Py_ssize_t __Pyx_zeros[] = {0, 0, 0, 0, 0, 0, 0, 0};
static Py_ssize_t __Pyx_minusones[] = {-1, -1, -1, -1, -1, -1, -1, -1};

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int64(npy_int64 value);

/* None.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX         && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* None.proto */
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* None.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eqf(a, b)   ((a)==(b))
    #define __Pyx_c_sumf(a, b)  ((a)+(b))
    #define __Pyx_c_difff(a, b) ((a)-(b))
    #define __Pyx_c_prodf(a, b) ((a)*(b))
    #define __Pyx_c_quotf(a, b) ((a)/(b))
    #define __Pyx_c_negf(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_absf(z)     (::std::abs(z))
        #define __Pyx_c_powf(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zerof(z) ((z)==0)
    #define __Pyx_c_conjf(z)    (conjf(z))
    #if 1
        #define __Pyx_c_absf(z)     (cabsf(z))
        #define __Pyx_c_powf(a, b)  (cpowf(a, b))
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 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex);
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        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex, __pyx_t_float_complex);
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/* None.proto */
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

/* None.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq(a, b)   ((a)==(b))
    #define __Pyx_c_sum(a, b)  ((a)+(b))
    #define __Pyx_c_diff(a, b) ((a)-(b))
    #define __Pyx_c_prod(a, b) ((a)*(b))
    #define __Pyx_c_quot(a, b) ((a)/(b))
    #define __Pyx_c_neg(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero(z) ((z)==(double)0)
    #define __Pyx_c_conj(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs(z)     (::std::abs(z))
        #define __Pyx_c_pow(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero(z) ((z)==0)
    #define __Pyx_c_conj(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs(z)     (cabs(z))
        #define __Pyx_c_pow(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_ptrdiff_t(ptrdiff_t value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int64 __Pyx_PyInt_As_npy_int64(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

/* PyIdentifierFromString.proto */
#if !defined(__Pyx_PyIdentifier_FromString)
#if PY_MAJOR_VERSION < 3
  #define __Pyx_PyIdentifier_FromString(s) PyString_FromString(s)
#else
  #define __Pyx_PyIdentifier_FromString(s) PyUnicode_FromString(s)
#endif
#endif

/* ModuleImport.proto */
static PyObject *__Pyx_ImportModule(const char *name);

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

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);


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

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

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

/* Module declarations from '__builtin__' */

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.bool' */
static PyTypeObject *__pyx_ptype_7cpython_4bool_bool = 0;

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

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

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.complex' */
static PyTypeObject *__pyx_ptype_7cpython_7complex_complex = 0;

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from 'cpython' */

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

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

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

/* Module declarations from 'numpy' */

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

/* Module declarations from 'cython' */

/* Module declarations from 'util' */
static CYTHON_INLINE PyObject *__pyx_f_4util_set_value_at_unsafe(PyArrayObject *, PyObject *, PyObject *); /*proto*/

/* Module declarations from 'khash' */

/* Module declarations from 'pandas.hashtable' */
static PyTypeObject *__pyx_ptype_6pandas_9hashtable_HashTable = 0;
static PyTypeObject *__pyx_ptype_6pandas_9hashtable_Int64HashTable = 0;
static PyTypeObject *__pyx_ptype_6pandas_9hashtable_Float64HashTable = 0;
static PyTypeObject *__pyx_ptype_6pandas_9hashtable_PyObjectHashTable = 0;

/* Module declarations from 'pandas._join' */
static double __pyx_v_6pandas_5_join_NaN;
static double __pyx_v_6pandas_5_join_nan;
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int64_t = { "int64_t", NULL, sizeof(__pyx_t_5numpy_int64_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int64_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int64_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_object = { "Python object", NULL, sizeof(PyObject *), { 0 }, 0, 'O', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t = { "float64_t", NULL, sizeof(__pyx_t_5numpy_float64_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t = { "float32_t", NULL, sizeof(__pyx_t_5numpy_float32_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t = { "int32_t", NULL, sizeof(__pyx_t_5numpy_int32_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int32_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int32_t), 0 };
#define __Pyx_MODULE_NAME "pandas._join"
int __pyx_module_is_main_pandas___join = 0;

/* Implementation of 'pandas._join' */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_object;
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_RuntimeError;
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_lc[] = "lc";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_rc[] = "rc";
static const char __pyx_k_NaN[] = "NaN";
static const char __pyx_k__26[] = "_";
static const char __pyx_k_gid[] = "gid";
static const char __pyx_k_inf[] = "inf";
static const char __pyx_k_loc[] = "loc";
static const char __pyx_k_put[] = "put";
static const char __pyx_k_res[] = "res";
static const char __pyx_k_rev[] = "rev";
static const char __pyx_k_typ[] = "_typ";
static const char __pyx_k_val[] = "val";
static const char __pyx_k_diff[] = "diff";
static const char __pyx_k_fill[] = "fill";
static const char __pyx_k_int8[] = "int8";
static const char __pyx_k_intp[] = "intp";
static const char __pyx_k_left[] = "left";
static const char __pyx_k_lval[] = "lval";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_rval[] = "rval";
static const char __pyx_k_sort[] = "sort";
static const char __pyx_k_take[] = "take";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_count[] = "count";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_int16[] = "int16";
static const char __pyx_k_int32[] = "int32";
static const char __pyx_k_int64[] = "int64";
static const char __pyx_k_nleft[] = "nleft";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_right[] = "right";
static const char __pyx_k_arange[] = "arange";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_nright[] = "nright";
static const char __pyx_k_object[] = "object";
static const char __pyx_k_offset[] = "offset";
static const char __pyx_k_period[] = "period";
static const char __pyx_k_result[] = "result";
static const char __pyx_k_sorter[] = "sorter";
static const char __pyx_k_float16[] = "float16";
static const char __pyx_k_float32[] = "float32";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_indexer[] = "indexer";
static const char __pyx_k_take_nd[] = "take_nd";
static const char __pyx_k_by_value[] = "by_value";
static const char __pyx_k_last_obs[] = "last_obs";
static const char __pyx_k_left_pos[] = "left_pos";
static const char __pyx_k_lindexer[] = "lindexer";
static const char __pyx_k_position[] = "position";
static const char __pyx_k_rindexer[] = "rindexer";
static const char __pyx_k_group_ids[] = "group_ids";
static const char __pyx_k_left_size[] = "left_size";
static const char __pyx_k_max_group[] = "max_group";
static const char __pyx_k_right_pos[] = "right_pos";
static const char __pyx_k_tolerance[] = "tolerance";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_fill_value[] = "fill_value";
static const char __pyx_k_hash_table[] = "hash_table";
static const char __pyx_k_inner_join[] = "inner_join";
static const char __pyx_k_left_count[] = "left_count";
static const char __pyx_k_max_groups[] = "max_groups";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_right_size[] = "right_size";
static const char __pyx_k_left_sorter[] = "left_sorter";
static const char __pyx_k_left_values[] = "left_values";
static const char __pyx_k_right_count[] = "right_count";
static const char __pyx_k_tolerance_2[] = "tolerance_";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_left_indexer[] = "left_indexer";
static const char __pyx_k_pandas__join[] = "pandas._join";
static const char __pyx_k_pandas_algos[] = "pandas.algos";
static const char __pyx_k_right_sorter[] = "right_sorter";
static const char __pyx_k_right_values[] = "right_values";
static const char __pyx_k_ffill_indexer[] = "ffill_indexer";
static const char __pyx_k_has_tolerance[] = "has_tolerance";
static const char __pyx_k_right_indexer[] = "right_indexer";
static const char __pyx_k_ffill_by_group[] = "ffill_by_group";
static const char __pyx_k_left_by_values[] = "left_by_values";
static const char __pyx_k_found_right_pos[] = "found_right_pos";
static const char __pyx_k_full_outer_join[] = "full_outer_join";
static const char __pyx_k_left_outer_join[] = "left_outer_join";
static const char __pyx_k_right_by_values[] = "right_by_values";
static const char __pyx_k_asof_join_double[] = "asof_join_double";
static const char __pyx_k_asof_join_int64_t[] = "asof_join_int64_t";
static const char __pyx_k_groupsort_indexer[] = "groupsort_indexer";
static const char __pyx_k_get_result_indexer[] = "_get_result_indexer";
static const char __pyx_k_allow_exact_matches[] = "allow_exact_matches";
static const char __pyx_k_ensure_platform_int[] = "ensure_platform_int";
static const char __pyx_k_index_out_of_bounds[] = "index out of bounds";
static const char __pyx_k_pandas_core_algorithms[] = "pandas.core.algorithms";
static const char __pyx_k_left_join_indexer_int32[] = "left_join_indexer_int32";
static const char __pyx_k_left_join_indexer_int64[] = "left_join_indexer_int64";
static const char __pyx_k_inner_join_indexer_int32[] = "inner_join_indexer_int32";
static const char __pyx_k_inner_join_indexer_int64[] = "inner_join_indexer_int64";
static const char __pyx_k_left_join_indexer_object[] = "left_join_indexer_object";
static const char __pyx_k_outer_join_indexer_int32[] = "outer_join_indexer_int32";
static const char __pyx_k_outer_join_indexer_int64[] = "outer_join_indexer_int64";
static const char __pyx_k_inner_join_indexer_object[] = "inner_join_indexer_object";
static const char __pyx_k_left_join_indexer_float32[] = "left_join_indexer_float32";
static const char __pyx_k_left_join_indexer_float64[] = "left_join_indexer_float64";
static const char __pyx_k_outer_join_indexer_object[] = "outer_join_indexer_object";
static const char __pyx_k_asof_join_double_by_object[] = "asof_join_double_by_object";
static const char __pyx_k_inner_join_indexer_float32[] = "inner_join_indexer_float32";
static const char __pyx_k_inner_join_indexer_float64[] = "inner_join_indexer_float64";
static const char __pyx_k_outer_join_indexer_float32[] = "outer_join_indexer_float32";
static const char __pyx_k_outer_join_indexer_float64[] = "outer_join_indexer_float64";
static const char __pyx_k_asof_join_double_by_int64_t[] = "asof_join_double_by_int64_t";
static const char __pyx_k_asof_join_int64_t_by_object[] = "asof_join_int64_t_by_object";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_asof_join_int64_t_by_int64_t[] = "asof_join_int64_t_by_int64_t";
static const char __pyx_k_home_joris_scipy_pandas_pandas[] = "/home/joris/scipy/pandas/pandas/src/joins_func_helper.pxi";
static const char __pyx_k_left_join_indexer_unique_int32[] = "left_join_indexer_unique_int32";
static const char __pyx_k_left_join_indexer_unique_int64[] = "left_join_indexer_unique_int64";
static const char __pyx_k_left_join_indexer_unique_object[] = "left_join_indexer_unique_object";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_assignment_destination_is_read_o[] = "assignment destination is read-only";
static const char __pyx_k_home_joris_scipy_pandas_pandas_2[] = "/home/joris/scipy/pandas/pandas/src/join.pyx";
static const char __pyx_k_home_joris_scipy_pandas_pandas_3[] = "/home/joris/scipy/pandas/pandas/src/join_helper.pxi";
static const char __pyx_k_left_join_indexer_unique_float32[] = "left_join_indexer_unique_float32";
static const char __pyx_k_left_join_indexer_unique_float64[] = "left_join_indexer_unique_float64";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_n_s_NaN;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s__26;
static PyObject *__pyx_n_s_allow_exact_matches;
static PyObject *__pyx_n_s_arange;
static PyObject *__pyx_n_s_asof_join_double;
static PyObject *__pyx_n_s_asof_join_double_by_int64_t;
static PyObject *__pyx_n_s_asof_join_double_by_object;
static PyObject *__pyx_n_s_asof_join_int64_t;
static PyObject *__pyx_n_s_asof_join_int64_t_by_int64_t;
static PyObject *__pyx_n_s_asof_join_int64_t_by_object;
static PyObject *__pyx_kp_s_assignment_destination_is_read_o;
static PyObject *__pyx_n_s_by_value;
static PyObject *__pyx_n_s_count;
static PyObject *__pyx_n_s_diff;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_ensure_platform_int;
static PyObject *__pyx_n_s_ffill_by_group;
static PyObject *__pyx_n_s_ffill_indexer;
static PyObject *__pyx_n_s_fill;
static PyObject *__pyx_n_s_fill_value;
static PyObject *__pyx_n_s_float16;
static PyObject *__pyx_n_s_float32;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_found_right_pos;
static PyObject *__pyx_n_s_full_outer_join;
static PyObject *__pyx_n_s_get_result_indexer;
static PyObject *__pyx_n_s_gid;
static PyObject *__pyx_n_s_group_ids;
static PyObject *__pyx_n_s_groupsort_indexer;
static PyObject *__pyx_n_s_has_tolerance;
static PyObject *__pyx_n_s_hash_table;
static PyObject *__pyx_kp_s_home_joris_scipy_pandas_pandas;
static PyObject *__pyx_kp_s_home_joris_scipy_pandas_pandas_2;
static PyObject *__pyx_kp_s_home_joris_scipy_pandas_pandas_3;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_kp_s_index_out_of_bounds;
static PyObject *__pyx_n_s_indexer;
static PyObject *__pyx_n_s_inf;
static PyObject *__pyx_n_s_inner_join;
static PyObject *__pyx_n_s_inner_join_indexer_float32;
static PyObject *__pyx_n_s_inner_join_indexer_float64;
static PyObject *__pyx_n_s_inner_join_indexer_int32;
static PyObject *__pyx_n_s_inner_join_indexer_int64;
static PyObject *__pyx_n_s_inner_join_indexer_object;
static PyObject *__pyx_n_s_int16;
static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_n_s_int64;
static PyObject *__pyx_n_s_int8;
static PyObject *__pyx_n_s_intp;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_last_obs;
static PyObject *__pyx_n_s_lc;
static PyObject *__pyx_n_s_left;
static PyObject *__pyx_n_s_left_by_values;
static PyObject *__pyx_n_s_left_count;
static PyObject *__pyx_n_s_left_indexer;
static PyObject *__pyx_n_s_left_join_indexer_float32;
static PyObject *__pyx_n_s_left_join_indexer_float64;
static PyObject *__pyx_n_s_left_join_indexer_int32;
static PyObject *__pyx_n_s_left_join_indexer_int64;
static PyObject *__pyx_n_s_left_join_indexer_object;
static PyObject *__pyx_n_s_left_join_indexer_unique_float32;
static PyObject *__pyx_n_s_left_join_indexer_unique_float64;
static PyObject *__pyx_n_s_left_join_indexer_unique_int32;
static PyObject *__pyx_n_s_left_join_indexer_unique_int64;
static PyObject *__pyx_n_s_left_join_indexer_unique_object;
static PyObject *__pyx_n_s_left_outer_join;
static PyObject *__pyx_n_s_left_pos;
static PyObject *__pyx_n_s_left_size;
static PyObject *__pyx_n_s_left_sorter;
static PyObject *__pyx_n_s_left_values;
static PyObject *__pyx_n_s_lindexer;
static PyObject *__pyx_n_s_loc;
static PyObject *__pyx_n_s_lval;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_max_group;
static PyObject *__pyx_n_s_max_groups;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_nleft;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_nright;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_object;
static PyObject *__pyx_n_s_offset;
static PyObject *__pyx_n_s_outer_join_indexer_float32;
static PyObject *__pyx_n_s_outer_join_indexer_float64;
static PyObject *__pyx_n_s_outer_join_indexer_int32;
static PyObject *__pyx_n_s_outer_join_indexer_int64;
static PyObject *__pyx_n_s_outer_join_indexer_object;
static PyObject *__pyx_n_s_pandas__join;
static PyObject *__pyx_n_s_pandas_algos;
static PyObject *__pyx_n_s_pandas_core_algorithms;
static PyObject *__pyx_n_s_period;
static PyObject *__pyx_n_s_position;
static PyObject *__pyx_n_s_put;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rc;
static PyObject *__pyx_n_s_res;
static PyObject *__pyx_n_s_result;
static PyObject *__pyx_n_s_rev;
static PyObject *__pyx_n_s_right;
static PyObject *__pyx_n_s_right_by_values;
static PyObject *__pyx_n_s_right_count;
static PyObject *__pyx_n_s_right_indexer;
static PyObject *__pyx_n_s_right_pos;
static PyObject *__pyx_n_s_right_size;
static PyObject *__pyx_n_s_right_sorter;
static PyObject *__pyx_n_s_right_values;
static PyObject *__pyx_n_s_rindexer;
static PyObject *__pyx_n_s_rval;
static PyObject *__pyx_n_s_sort;
static PyObject *__pyx_n_s_sorter;
static PyObject *__pyx_n_s_take;
static PyObject *__pyx_n_s_take_nd;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_tolerance;
static PyObject *__pyx_n_s_tolerance_2;
static PyObject *__pyx_n_s_typ;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_val;
static PyObject *__pyx_pf_6pandas_5_join_asof_join_int64_t_by_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_values, PyArrayObject *__pyx_v_right_values, PyArrayObject *__pyx_v_left_by_values, PyArrayObject *__pyx_v_right_by_values, int __pyx_v_allow_exact_matches, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_2asof_join_double_by_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_values, PyArrayObject *__pyx_v_right_values, PyArrayObject *__pyx_v_left_by_values, PyArrayObject *__pyx_v_right_by_values, int __pyx_v_allow_exact_matches, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_4asof_join_int64_t_by_int64_t(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_values, PyArrayObject *__pyx_v_right_values, PyArrayObject *__pyx_v_left_by_values, PyArrayObject *__pyx_v_right_by_values, int __pyx_v_allow_exact_matches, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_6asof_join_double_by_int64_t(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_values, PyArrayObject *__pyx_v_right_values, PyArrayObject *__pyx_v_left_by_values, PyArrayObject *__pyx_v_right_by_values, int __pyx_v_allow_exact_matches, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_8asof_join_int64_t(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_values, PyArrayObject *__pyx_v_right_values, int __pyx_v_allow_exact_matches, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_10asof_join_double(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_values, PyArrayObject *__pyx_v_right_values, int __pyx_v_allow_exact_matches, PyObject *__pyx_v_tolerance); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_12inner_join(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right, Py_ssize_t __pyx_v_max_groups); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_14left_outer_join(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right, Py_ssize_t __pyx_v_max_groups, PyObject *__pyx_v_sort); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_16full_outer_join(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right, Py_ssize_t __pyx_v_max_groups); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_18_get_result_indexer(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_sorter, PyObject *__pyx_v_indexer); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_20ffill_indexer(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_indexer); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_22ffill_by_group(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_indexer, PyArrayObject *__pyx_v_group_ids, __pyx_t_5numpy_int64_t __pyx_v_max_group); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_24left_join_indexer_unique_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_26left_join_indexer_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_28inner_join_indexer_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_30outer_join_indexer_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_32left_join_indexer_unique_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_34left_join_indexer_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_36inner_join_indexer_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_38outer_join_indexer_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_40left_join_indexer_unique_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_42left_join_indexer_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_44inner_join_indexer_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_46outer_join_indexer_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_48left_join_indexer_unique_int32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_50left_join_indexer_int32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_52inner_join_indexer_int32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_54outer_join_indexer_int32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_56left_join_indexer_unique_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_58left_join_indexer_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_60inner_join_indexer_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static PyObject *__pyx_pf_6pandas_5_join_62outer_join_indexer_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left, PyArrayObject *__pyx_v_right); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_int_15;
static PyObject *__pyx_int_neg_1;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__3;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__9;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__11;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__14;
static PyObject *__pyx_tuple__16;
static PyObject *__pyx_tuple__18;
static PyObject *__pyx_tuple__20;
static PyObject *__pyx_tuple__22;
static PyObject *__pyx_tuple__24;
static PyObject *__pyx_tuple__27;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__31;
static PyObject *__pyx_tuple__33;
static PyObject *__pyx_tuple__35;
static PyObject *__pyx_tuple__37;
static PyObject *__pyx_tuple__39;
static PyObject *__pyx_tuple__41;
static PyObject *__pyx_tuple__43;
static PyObject *__pyx_tuple__45;
static PyObject *__pyx_tuple__47;
static PyObject *__pyx_tuple__49;
static PyObject *__pyx_tuple__51;
static PyObject *__pyx_tuple__53;
static PyObject *__pyx_tuple__55;
static PyObject *__pyx_tuple__57;
static PyObject *__pyx_tuple__59;
static PyObject *__pyx_tuple__61;
static PyObject *__pyx_tuple__63;
static PyObject *__pyx_tuple__65;
static PyObject *__pyx_tuple__67;
static PyObject *__pyx_tuple__69;
static PyObject *__pyx_tuple__71;
static PyObject *__pyx_tuple__73;
static PyObject *__pyx_tuple__75;
static PyObject *__pyx_codeobj__13;
static PyObject *__pyx_codeobj__15;
static PyObject *__pyx_codeobj__17;
static PyObject *__pyx_codeobj__19;
static PyObject *__pyx_codeobj__21;
static PyObject *__pyx_codeobj__23;
static PyObject *__pyx_codeobj__25;
static PyObject *__pyx_codeobj__28;
static PyObject *__pyx_codeobj__30;
static PyObject *__pyx_codeobj__32;
static PyObject *__pyx_codeobj__34;
static PyObject *__pyx_codeobj__36;
static PyObject *__pyx_codeobj__38;
static PyObject *__pyx_codeobj__40;
static PyObject *__pyx_codeobj__42;
static PyObject *__pyx_codeobj__44;
static PyObject *__pyx_codeobj__46;
static PyObject *__pyx_codeobj__48;
static PyObject *__pyx_codeobj__50;
static PyObject *__pyx_codeobj__52;
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static PyObject *__pyx_codeobj__56;
static PyObject *__pyx_codeobj__58;
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static PyObject *__pyx_codeobj__66;
static PyObject *__pyx_codeobj__68;
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static PyObject *__pyx_codeobj__72;
static PyObject *__pyx_codeobj__74;
static PyObject *__pyx_codeobj__76;

/* "pandas/src/joins_func_helper.pxi":15
 * 
 * 
 * def asof_join_int64_t_by_object(ndarray[int64_t] left_values,             # <<<<<<<<<<<<<<
 *         ndarray[int64_t] right_values,
 *         ndarray[object] left_by_values,
 */

/* Python wrapper */
static PyObject *__pyx_pw_6pandas_5_join_1asof_join_int64_t_by_object(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static PyMethodDef __pyx_mdef_6pandas_5_join_1asof_join_int64_t_by_object = {"asof_join_int64_t_by_object", (PyCFunction)__pyx_pw_6pandas_5_join_1asof_join_int64_t_by_object, METH_VARARGS|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_6pandas_5_join_1asof_join_int64_t_by_object(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
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  PyArrayObject *__pyx_v_right_values = 0;
  PyArrayObject *__pyx_v_left_by_values = 0;
  PyArrayObject *__pyx_v_right_by_values = 0;
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    PyObject* values[6] = {0,0,0,0,0,0};

    /* "pandas/src/joins_func_helper.pxi":20
 *         ndarray[object] right_by_values,
 *         bint allow_exact_matches=1,
 *         tolerance=None):             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */
    values[5] = ((PyObject *)Py_None);
    if (unlikely(__pyx_kwds)) {
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 *                 break
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 *                 while j < nright:
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 */
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 */
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 *                     j += 1
 *                 break
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 *                     lindexer[count] = i
 */
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 * 
 *             lval = left[i]             # <<<<<<<<<<<<<<
 *             rval = right[j]
 * 
 */
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 * 
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      /* "pandas/src/join_helper.pxi":733
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 *                 lindexer[count] = i
 *                 rindexer[count] = j
 */
      __pyx_t_2 = ((__pyx_v_lval == __pyx_v_rval) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":734
 * 
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 *                 rindexer[count] = j
 *                 result[count] = lval
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        __pyx_t_39 = __pyx_v_count;
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 *                 rindexer[count] = j             # <<<<<<<<<<<<<<
 *                 result[count] = lval
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 *                 rindexer[count] = j
 *                 result[count] = lval             # <<<<<<<<<<<<<<
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        /* "pandas/src/join_helper.pxi":737
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 *                 result[count] = lval
 *                 count += 1             # <<<<<<<<<<<<<<
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 */
        __pyx_v_count = (__pyx_v_count + 1);

        /* "pandas/src/join_helper.pxi":738
 *                 result[count] = lval
 *                 count += 1
 *                 if i < nleft - 1:             # <<<<<<<<<<<<<<
 *                     if j < nright - 1 and right[j + 1] == rval:
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          /* "pandas/src/join_helper.pxi":739
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 *                 if i < nleft - 1:
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 *                         j += 1
 *                     else:
 */
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            /* "pandas/src/join_helper.pxi":740
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 *                         j += 1             # <<<<<<<<<<<<<<
 *                     else:
 *                         i += 1
 */
            __pyx_v_j = (__pyx_v_j + 1);

            /* "pandas/src/join_helper.pxi":739
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 *                 if i < nleft - 1:
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 *                         j += 1
 *                     else:
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            goto __pyx_L30;
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          /* "pandas/src/join_helper.pxi":742
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 *                     else:
 *                         i += 1             # <<<<<<<<<<<<<<
 *                         if left[i] != rval:
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 */
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            /* "pandas/src/join_helper.pxi":743
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 *                         i += 1
 *                         if left[i] != rval:             # <<<<<<<<<<<<<<
 *                             j += 1
 *                 elif j < nright - 1:
 */
            __pyx_t_43 = __pyx_v_i;
            __pyx_t_2 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float32_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_43, __pyx_pybuffernd_left.diminfo[0].strides)) != __pyx_v_rval) != 0);
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              /* "pandas/src/join_helper.pxi":744
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 *                         if left[i] != rval:
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 *                 elif j < nright - 1:
 *                     j += 1
 */
              __pyx_v_j = (__pyx_v_j + 1);

              /* "pandas/src/join_helper.pxi":743
 *                     else:
 *                         i += 1
 *                         if left[i] != rval:             # <<<<<<<<<<<<<<
 *                             j += 1
 *                 elif j < nright - 1:
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      *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_24, __pyx_pybuffernd_result.diminfo[0].strides) = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_23, __pyx_pybuffernd_right.diminfo[0].strides));
    }

    /* "pandas/src/join_helper.pxi":1457
 *     j = 0
 *     count = 0
 *     if nleft == 0:             # <<<<<<<<<<<<<<
 *         for j in range(nright):
 *             lindexer[j] = -1
 */
    goto __pyx_L15;
  }

  /* "pandas/src/join_helper.pxi":1462
 *             rindexer[j] = j
 *             result[j] = right[j]
 *     elif nright == 0:             # <<<<<<<<<<<<<<
 *         for i in range(nleft):
 *             lindexer[i] = i
 */
  __pyx_t_2 = ((__pyx_v_nright == 0) != 0);
  if (__pyx_t_2) {

    /* "pandas/src/join_helper.pxi":1463
 *             result[j] = right[j]
 *     elif nright == 0:
 *         for i in range(nleft):             # <<<<<<<<<<<<<<
 *             lindexer[i] = i
 *             rindexer[i] = -1
 */
    __pyx_t_1 = __pyx_v_nleft;
    for (__pyx_t_20 = 0; __pyx_t_20 < __pyx_t_1; __pyx_t_20+=1) {
      __pyx_v_i = __pyx_t_20;

      /* "pandas/src/join_helper.pxi":1464
 *     elif nright == 0:
 *         for i in range(nleft):
 *             lindexer[i] = i             # <<<<<<<<<<<<<<
 *             rindexer[i] = -1
 *             result[i] = left[i]
 */
      __pyx_t_25 = __pyx_v_i;
      *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_25, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

      /* "pandas/src/join_helper.pxi":1465
 *         for i in range(nleft):
 *             lindexer[i] = i
 *             rindexer[i] = -1             # <<<<<<<<<<<<<<
 *             result[i] = left[i]
 *     else:
 */
      __pyx_t_26 = __pyx_v_i;
      *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd_rindexer.diminfo[0].strides) = -1LL;

      /* "pandas/src/join_helper.pxi":1466
 *             lindexer[i] = i
 *             rindexer[i] = -1
 *             result[i] = left[i]             # <<<<<<<<<<<<<<
 *     else:
 *         while True:
 */
      __pyx_t_27 = __pyx_v_i;
      __pyx_t_28 = __pyx_v_i;
      *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_28, __pyx_pybuffernd_result.diminfo[0].strides) = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_27, __pyx_pybuffernd_left.diminfo[0].strides));
    }

    /* "pandas/src/join_helper.pxi":1462
 *             rindexer[j] = j
 *             result[j] = right[j]
 *     elif nright == 0:             # <<<<<<<<<<<<<<
 *         for i in range(nleft):
 *             lindexer[i] = i
 */
    goto __pyx_L15;
  }

  /* "pandas/src/join_helper.pxi":1468
 *             result[i] = left[i]
 *     else:
 *         while True:             # <<<<<<<<<<<<<<
 *             if i == nleft:
 *                 while j < nright:
 */
  /*else*/ {
    while (1) {

      /* "pandas/src/join_helper.pxi":1469
 *     else:
 *         while True:
 *             if i == nleft:             # <<<<<<<<<<<<<<
 *                 while j < nright:
 *                     lindexer[count] = -1
 */
      __pyx_t_2 = ((__pyx_v_i == __pyx_v_nleft) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1470
 *         while True:
 *             if i == nleft:
 *                 while j < nright:             # <<<<<<<<<<<<<<
 *                     lindexer[count] = -1
 *                     rindexer[count] = j
 */
        while (1) {
          __pyx_t_2 = ((__pyx_v_j < __pyx_v_nright) != 0);
          if (!__pyx_t_2) break;

          /* "pandas/src/join_helper.pxi":1471
 *             if i == nleft:
 *                 while j < nright:
 *                     lindexer[count] = -1             # <<<<<<<<<<<<<<
 *                     rindexer[count] = j
 *                     result[count] = right[j]
 */
          __pyx_t_29 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_29, __pyx_pybuffernd_lindexer.diminfo[0].strides) = -1LL;

          /* "pandas/src/join_helper.pxi":1472
 *                 while j < nright:
 *                     lindexer[count] = -1
 *                     rindexer[count] = j             # <<<<<<<<<<<<<<
 *                     result[count] = right[j]
 *                     count += 1
 */
          __pyx_t_30 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_30, __pyx_pybuffernd_rindexer.diminfo[0].strides) = __pyx_v_j;

          /* "pandas/src/join_helper.pxi":1473
 *                     lindexer[count] = -1
 *                     rindexer[count] = j
 *                     result[count] = right[j]             # <<<<<<<<<<<<<<
 *                     count += 1
 *                     j += 1
 */
          __pyx_t_31 = __pyx_v_j;
          __pyx_t_32 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_32, __pyx_pybuffernd_result.diminfo[0].strides) = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_31, __pyx_pybuffernd_right.diminfo[0].strides));

          /* "pandas/src/join_helper.pxi":1474
 *                     rindexer[count] = j
 *                     result[count] = right[j]
 *                     count += 1             # <<<<<<<<<<<<<<
 *                     j += 1
 *                 break
 */
          __pyx_v_count = (__pyx_v_count + 1);

          /* "pandas/src/join_helper.pxi":1475
 *                     result[count] = right[j]
 *                     count += 1
 *                     j += 1             # <<<<<<<<<<<<<<
 *                 break
 *             if j == nright:
 */
          __pyx_v_j = (__pyx_v_j + 1);
        }

        /* "pandas/src/join_helper.pxi":1476
 *                     count += 1
 *                     j += 1
 *                 break             # <<<<<<<<<<<<<<
 *             if j == nright:
 *                 while i < nleft:
 */
        goto __pyx_L21_break;

        /* "pandas/src/join_helper.pxi":1469
 *     else:
 *         while True:
 *             if i == nleft:             # <<<<<<<<<<<<<<
 *                 while j < nright:
 *                     lindexer[count] = -1
 */
      }

      /* "pandas/src/join_helper.pxi":1477
 *                     j += 1
 *                 break
 *             if j == nright:             # <<<<<<<<<<<<<<
 *                 while i < nleft:
 *                     lindexer[count] = i
 */
      __pyx_t_2 = ((__pyx_v_j == __pyx_v_nright) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1478
 *                 break
 *             if j == nright:
 *                 while i < nleft:             # <<<<<<<<<<<<<<
 *                     lindexer[count] = i
 *                     rindexer[count] = -1
 */
        while (1) {
          __pyx_t_2 = ((__pyx_v_i < __pyx_v_nleft) != 0);
          if (!__pyx_t_2) break;

          /* "pandas/src/join_helper.pxi":1479
 *             if j == nright:
 *                 while i < nleft:
 *                     lindexer[count] = i             # <<<<<<<<<<<<<<
 *                     rindexer[count] = -1
 *                     result[count] = left[i]
 */
          __pyx_t_33 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_33, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

          /* "pandas/src/join_helper.pxi":1480
 *                 while i < nleft:
 *                     lindexer[count] = i
 *                     rindexer[count] = -1             # <<<<<<<<<<<<<<
 *                     result[count] = left[i]
 *                     count += 1
 */
          __pyx_t_34 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_34, __pyx_pybuffernd_rindexer.diminfo[0].strides) = -1LL;

          /* "pandas/src/join_helper.pxi":1481
 *                     lindexer[count] = i
 *                     rindexer[count] = -1
 *                     result[count] = left[i]             # <<<<<<<<<<<<<<
 *                     count += 1
 *                     i += 1
 */
          __pyx_t_35 = __pyx_v_i;
          __pyx_t_36 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_36, __pyx_pybuffernd_result.diminfo[0].strides) = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_35, __pyx_pybuffernd_left.diminfo[0].strides));

          /* "pandas/src/join_helper.pxi":1482
 *                     rindexer[count] = -1
 *                     result[count] = left[i]
 *                     count += 1             # <<<<<<<<<<<<<<
 *                     i += 1
 *                 break
 */
          __pyx_v_count = (__pyx_v_count + 1);

          /* "pandas/src/join_helper.pxi":1483
 *                     result[count] = left[i]
 *                     count += 1
 *                     i += 1             # <<<<<<<<<<<<<<
 *                 break
 * 
 */
          __pyx_v_i = (__pyx_v_i + 1);
        }

        /* "pandas/src/join_helper.pxi":1484
 *                     count += 1
 *                     i += 1
 *                 break             # <<<<<<<<<<<<<<
 * 
 *             lval = left[i]
 */
        goto __pyx_L21_break;

        /* "pandas/src/join_helper.pxi":1477
 *                     j += 1
 *                 break
 *             if j == nright:             # <<<<<<<<<<<<<<
 *                 while i < nleft:
 *                     lindexer[count] = i
 */
      }

      /* "pandas/src/join_helper.pxi":1486
 *                 break
 * 
 *             lval = left[i]             # <<<<<<<<<<<<<<
 *             rval = right[j]
 * 
 */
      __pyx_t_37 = __pyx_v_i;
      __pyx_v_lval = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_37, __pyx_pybuffernd_left.diminfo[0].strides));

      /* "pandas/src/join_helper.pxi":1487
 * 
 *             lval = left[i]
 *             rval = right[j]             # <<<<<<<<<<<<<<
 * 
 *             if lval == rval:
 */
      __pyx_t_38 = __pyx_v_j;
      __pyx_v_rval = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_38, __pyx_pybuffernd_right.diminfo[0].strides));

      /* "pandas/src/join_helper.pxi":1489
 *             rval = right[j]
 * 
 *             if lval == rval:             # <<<<<<<<<<<<<<
 *                 lindexer[count] = i
 *                 rindexer[count] = j
 */
      __pyx_t_2 = ((__pyx_v_lval == __pyx_v_rval) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1490
 * 
 *             if lval == rval:
 *                 lindexer[count] = i             # <<<<<<<<<<<<<<
 *                 rindexer[count] = j
 *                 result[count] = lval
 */
        __pyx_t_39 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_39, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

        /* "pandas/src/join_helper.pxi":1491
 *             if lval == rval:
 *                 lindexer[count] = i
 *                 rindexer[count] = j             # <<<<<<<<<<<<<<
 *                 result[count] = lval
 *                 count += 1
 */
        __pyx_t_40 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_40, __pyx_pybuffernd_rindexer.diminfo[0].strides) = __pyx_v_j;

        /* "pandas/src/join_helper.pxi":1492
 *                 lindexer[count] = i
 *                 rindexer[count] = j
 *                 result[count] = lval             # <<<<<<<<<<<<<<
 *                 count += 1
 *                 if i < nleft - 1:
 */
        __pyx_t_41 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_41, __pyx_pybuffernd_result.diminfo[0].strides) = __pyx_v_lval;

        /* "pandas/src/join_helper.pxi":1493
 *                 rindexer[count] = j
 *                 result[count] = lval
 *                 count += 1             # <<<<<<<<<<<<<<
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:
 */
        __pyx_v_count = (__pyx_v_count + 1);

        /* "pandas/src/join_helper.pxi":1494
 *                 result[count] = lval
 *                 count += 1
 *                 if i < nleft - 1:             # <<<<<<<<<<<<<<
 *                     if j < nright - 1 and right[j + 1] == rval:
 *                         j += 1
 */
        __pyx_t_2 = ((__pyx_v_i < (__pyx_v_nleft - 1)) != 0);
        if (__pyx_t_2) {

          /* "pandas/src/join_helper.pxi":1495
 *                 count += 1
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:             # <<<<<<<<<<<<<<
 *                         j += 1
 *                     else:
 */
          __pyx_t_5 = ((__pyx_v_j < (__pyx_v_nright - 1)) != 0);
          if (__pyx_t_5) {
          } else {
            __pyx_t_2 = __pyx_t_5;
            goto __pyx_L31_bool_binop_done;
          }
          __pyx_t_42 = (__pyx_v_j + 1);
          __pyx_t_5 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_42, __pyx_pybuffernd_right.diminfo[0].strides)) == __pyx_v_rval) != 0);
          __pyx_t_2 = __pyx_t_5;
          __pyx_L31_bool_binop_done:;
          if (__pyx_t_2) {

            /* "pandas/src/join_helper.pxi":1496
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:
 *                         j += 1             # <<<<<<<<<<<<<<
 *                     else:
 *                         i += 1
 */
            __pyx_v_j = (__pyx_v_j + 1);

            /* "pandas/src/join_helper.pxi":1495
 *                 count += 1
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:             # <<<<<<<<<<<<<<
 *                         j += 1
 *                     else:
 */
            goto __pyx_L30;
          }

          /* "pandas/src/join_helper.pxi":1498
 *                         j += 1
 *                     else:
 *                         i += 1             # <<<<<<<<<<<<<<
 *                         if left[i] != rval:
 *                             j += 1
 */
          /*else*/ {
            __pyx_v_i = (__pyx_v_i + 1);

            /* "pandas/src/join_helper.pxi":1499
 *                     else:
 *                         i += 1
 *                         if left[i] != rval:             # <<<<<<<<<<<<<<
 *                             j += 1
 *                 elif j < nright - 1:
 */
            __pyx_t_43 = __pyx_v_i;
            __pyx_t_2 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_43, __pyx_pybuffernd_left.diminfo[0].strides)) != __pyx_v_rval) != 0);
            if (__pyx_t_2) {

              /* "pandas/src/join_helper.pxi":1500
 *                         i += 1
 *                         if left[i] != rval:
 *                             j += 1             # <<<<<<<<<<<<<<
 *                 elif j < nright - 1:
 *                     j += 1
 */
              __pyx_v_j = (__pyx_v_j + 1);

              /* "pandas/src/join_helper.pxi":1499
 *                     else:
 *                         i += 1
 *                         if left[i] != rval:             # <<<<<<<<<<<<<<
 *                             j += 1
 *                 elif j < nright - 1:
 */
            }
          }
          __pyx_L30:;

          /* "pandas/src/join_helper.pxi":1494
 *                 result[count] = lval
 *                 count += 1
 *                 if i < nleft - 1:             # <<<<<<<<<<<<<<
 *                     if j < nright - 1 and right[j + 1] == rval:
 *                         j += 1
 */
          goto __pyx_L29;
        }

        /* "pandas/src/join_helper.pxi":1501
 *                         if left[i] != rval:
 *                             j += 1
 *                 elif j < nright - 1:             # <<<<<<<<<<<<<<
 *                     j += 1
 *                     if lval != right[j]:
 */
        __pyx_t_2 = ((__pyx_v_j < (__pyx_v_nright - 1)) != 0);
        if (__pyx_t_2) {

          /* "pandas/src/join_helper.pxi":1502
 *                             j += 1
 *                 elif j < nright - 1:
 *                     j += 1             # <<<<<<<<<<<<<<
 *                     if lval != right[j]:
 *                         i += 1
 */
          __pyx_v_j = (__pyx_v_j + 1);

          /* "pandas/src/join_helper.pxi":1503
 *                 elif j < nright - 1:
 *                     j += 1
 *                     if lval != right[j]:             # <<<<<<<<<<<<<<
 *                         i += 1
 *                 else:
 */
          __pyx_t_44 = __pyx_v_j;
          __pyx_t_2 = ((__pyx_v_lval != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_44, __pyx_pybuffernd_right.diminfo[0].strides))) != 0);
          if (__pyx_t_2) {

            /* "pandas/src/join_helper.pxi":1504
 *                     j += 1
 *                     if lval != right[j]:
 *                         i += 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     # end of the road
 */
            __pyx_v_i = (__pyx_v_i + 1);

            /* "pandas/src/join_helper.pxi":1503
 *                 elif j < nright - 1:
 *                     j += 1
 *                     if lval != right[j]:             # <<<<<<<<<<<<<<
 *                         i += 1
 *                 else:
 */
          }

          /* "pandas/src/join_helper.pxi":1501
 *                         if left[i] != rval:
 *                             j += 1
 *                 elif j < nright - 1:             # <<<<<<<<<<<<<<
 *                     j += 1
 *                     if lval != right[j]:
 */
          goto __pyx_L29;
        }

        /* "pandas/src/join_helper.pxi":1507
 *                 else:
 *                     # end of the road
 *                     break             # <<<<<<<<<<<<<<
 *             elif lval < rval:
 *                 lindexer[count] = i
 */
        /*else*/ {
          goto __pyx_L21_break;
        }
        __pyx_L29:;

        /* "pandas/src/join_helper.pxi":1489
 *             rval = right[j]
 * 
 *             if lval == rval:             # <<<<<<<<<<<<<<
 *                 lindexer[count] = i
 *                 rindexer[count] = j
 */
        goto __pyx_L28;
      }

      /* "pandas/src/join_helper.pxi":1508
 *                     # end of the road
 *                     break
 *             elif lval < rval:             # <<<<<<<<<<<<<<
 *                 lindexer[count] = i
 *                 rindexer[count] = -1
 */
      __pyx_t_2 = ((__pyx_v_lval < __pyx_v_rval) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1509
 *                     break
 *             elif lval < rval:
 *                 lindexer[count] = i             # <<<<<<<<<<<<<<
 *                 rindexer[count] = -1
 *                 result[count] = lval
 */
        __pyx_t_45 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_45, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

        /* "pandas/src/join_helper.pxi":1510
 *             elif lval < rval:
 *                 lindexer[count] = i
 *                 rindexer[count] = -1             # <<<<<<<<<<<<<<
 *                 result[count] = lval
 *                 count += 1
 */
        __pyx_t_46 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_46, __pyx_pybuffernd_rindexer.diminfo[0].strides) = -1LL;

        /* "pandas/src/join_helper.pxi":1511
 *                 lindexer[count] = i
 *                 rindexer[count] = -1
 *                 result[count] = lval             # <<<<<<<<<<<<<<
 *                 count += 1
 *                 i += 1
 */
        __pyx_t_47 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_47, __pyx_pybuffernd_result.diminfo[0].strides) = __pyx_v_lval;

        /* "pandas/src/join_helper.pxi":1512
 *                 rindexer[count] = -1
 *                 result[count] = lval
 *                 count += 1             # <<<<<<<<<<<<<<
 *                 i += 1
 *             else:
 */
        __pyx_v_count = (__pyx_v_count + 1);

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 *             result[j] = right[j]
 *     elif nright == 0:
 *         for i in range(nleft):             # <<<<<<<<<<<<<<
 *             lindexer[i] = i
 *             rindexer[i] = -1
 */
    __pyx_t_1 = __pyx_v_nleft;
    for (__pyx_t_20 = 0; __pyx_t_20 < __pyx_t_1; __pyx_t_20+=1) {
      __pyx_v_i = __pyx_t_20;

      /* "pandas/src/join_helper.pxi":1842
 *     elif nright == 0:
 *         for i in range(nleft):
 *             lindexer[i] = i             # <<<<<<<<<<<<<<
 *             rindexer[i] = -1
 *             result[i] = left[i]
 */
      __pyx_t_25 = __pyx_v_i;
      *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_25, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

      /* "pandas/src/join_helper.pxi":1843
 *         for i in range(nleft):
 *             lindexer[i] = i
 *             rindexer[i] = -1             # <<<<<<<<<<<<<<
 *             result[i] = left[i]
 *     else:
 */
      __pyx_t_26 = __pyx_v_i;
      *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_26, __pyx_pybuffernd_rindexer.diminfo[0].strides) = -1LL;

      /* "pandas/src/join_helper.pxi":1844
 *             lindexer[i] = i
 *             rindexer[i] = -1
 *             result[i] = left[i]             # <<<<<<<<<<<<<<
 *     else:
 *         while True:
 */
      __pyx_t_27 = __pyx_v_i;
      __pyx_t_28 = __pyx_v_i;
      *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_28, __pyx_pybuffernd_result.diminfo[0].strides) = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_27, __pyx_pybuffernd_left.diminfo[0].strides));
    }

    /* "pandas/src/join_helper.pxi":1840
 *             rindexer[j] = j
 *             result[j] = right[j]
 *     elif nright == 0:             # <<<<<<<<<<<<<<
 *         for i in range(nleft):
 *             lindexer[i] = i
 */
    goto __pyx_L15;
  }

  /* "pandas/src/join_helper.pxi":1846
 *             result[i] = left[i]
 *     else:
 *         while True:             # <<<<<<<<<<<<<<
 *             if i == nleft:
 *                 while j < nright:
 */
  /*else*/ {
    while (1) {

      /* "pandas/src/join_helper.pxi":1847
 *     else:
 *         while True:
 *             if i == nleft:             # <<<<<<<<<<<<<<
 *                 while j < nright:
 *                     lindexer[count] = -1
 */
      __pyx_t_2 = ((__pyx_v_i == __pyx_v_nleft) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1848
 *         while True:
 *             if i == nleft:
 *                 while j < nright:             # <<<<<<<<<<<<<<
 *                     lindexer[count] = -1
 *                     rindexer[count] = j
 */
        while (1) {
          __pyx_t_2 = ((__pyx_v_j < __pyx_v_nright) != 0);
          if (!__pyx_t_2) break;

          /* "pandas/src/join_helper.pxi":1849
 *             if i == nleft:
 *                 while j < nright:
 *                     lindexer[count] = -1             # <<<<<<<<<<<<<<
 *                     rindexer[count] = j
 *                     result[count] = right[j]
 */
          __pyx_t_29 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_29, __pyx_pybuffernd_lindexer.diminfo[0].strides) = -1LL;

          /* "pandas/src/join_helper.pxi":1850
 *                 while j < nright:
 *                     lindexer[count] = -1
 *                     rindexer[count] = j             # <<<<<<<<<<<<<<
 *                     result[count] = right[j]
 *                     count += 1
 */
          __pyx_t_30 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_30, __pyx_pybuffernd_rindexer.diminfo[0].strides) = __pyx_v_j;

          /* "pandas/src/join_helper.pxi":1851
 *                     lindexer[count] = -1
 *                     rindexer[count] = j
 *                     result[count] = right[j]             # <<<<<<<<<<<<<<
 *                     count += 1
 *                     j += 1
 */
          __pyx_t_31 = __pyx_v_j;
          __pyx_t_32 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_32, __pyx_pybuffernd_result.diminfo[0].strides) = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_31, __pyx_pybuffernd_right.diminfo[0].strides));

          /* "pandas/src/join_helper.pxi":1852
 *                     rindexer[count] = j
 *                     result[count] = right[j]
 *                     count += 1             # <<<<<<<<<<<<<<
 *                     j += 1
 *                 break
 */
          __pyx_v_count = (__pyx_v_count + 1);

          /* "pandas/src/join_helper.pxi":1853
 *                     result[count] = right[j]
 *                     count += 1
 *                     j += 1             # <<<<<<<<<<<<<<
 *                 break
 *             if j == nright:
 */
          __pyx_v_j = (__pyx_v_j + 1);
        }

        /* "pandas/src/join_helper.pxi":1854
 *                     count += 1
 *                     j += 1
 *                 break             # <<<<<<<<<<<<<<
 *             if j == nright:
 *                 while i < nleft:
 */
        goto __pyx_L21_break;

        /* "pandas/src/join_helper.pxi":1847
 *     else:
 *         while True:
 *             if i == nleft:             # <<<<<<<<<<<<<<
 *                 while j < nright:
 *                     lindexer[count] = -1
 */
      }

      /* "pandas/src/join_helper.pxi":1855
 *                     j += 1
 *                 break
 *             if j == nright:             # <<<<<<<<<<<<<<
 *                 while i < nleft:
 *                     lindexer[count] = i
 */
      __pyx_t_2 = ((__pyx_v_j == __pyx_v_nright) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1856
 *                 break
 *             if j == nright:
 *                 while i < nleft:             # <<<<<<<<<<<<<<
 *                     lindexer[count] = i
 *                     rindexer[count] = -1
 */
        while (1) {
          __pyx_t_2 = ((__pyx_v_i < __pyx_v_nleft) != 0);
          if (!__pyx_t_2) break;

          /* "pandas/src/join_helper.pxi":1857
 *             if j == nright:
 *                 while i < nleft:
 *                     lindexer[count] = i             # <<<<<<<<<<<<<<
 *                     rindexer[count] = -1
 *                     result[count] = left[i]
 */
          __pyx_t_33 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_33, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

          /* "pandas/src/join_helper.pxi":1858
 *                 while i < nleft:
 *                     lindexer[count] = i
 *                     rindexer[count] = -1             # <<<<<<<<<<<<<<
 *                     result[count] = left[i]
 *                     count += 1
 */
          __pyx_t_34 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_34, __pyx_pybuffernd_rindexer.diminfo[0].strides) = -1LL;

          /* "pandas/src/join_helper.pxi":1859
 *                     lindexer[count] = i
 *                     rindexer[count] = -1
 *                     result[count] = left[i]             # <<<<<<<<<<<<<<
 *                     count += 1
 *                     i += 1
 */
          __pyx_t_35 = __pyx_v_i;
          __pyx_t_36 = __pyx_v_count;
          *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_36, __pyx_pybuffernd_result.diminfo[0].strides) = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_35, __pyx_pybuffernd_left.diminfo[0].strides));

          /* "pandas/src/join_helper.pxi":1860
 *                     rindexer[count] = -1
 *                     result[count] = left[i]
 *                     count += 1             # <<<<<<<<<<<<<<
 *                     i += 1
 *                 break
 */
          __pyx_v_count = (__pyx_v_count + 1);

          /* "pandas/src/join_helper.pxi":1861
 *                     result[count] = left[i]
 *                     count += 1
 *                     i += 1             # <<<<<<<<<<<<<<
 *                 break
 * 
 */
          __pyx_v_i = (__pyx_v_i + 1);
        }

        /* "pandas/src/join_helper.pxi":1862
 *                     count += 1
 *                     i += 1
 *                 break             # <<<<<<<<<<<<<<
 * 
 *             lval = left[i]
 */
        goto __pyx_L21_break;

        /* "pandas/src/join_helper.pxi":1855
 *                     j += 1
 *                 break
 *             if j == nright:             # <<<<<<<<<<<<<<
 *                 while i < nleft:
 *                     lindexer[count] = i
 */
      }

      /* "pandas/src/join_helper.pxi":1864
 *                 break
 * 
 *             lval = left[i]             # <<<<<<<<<<<<<<
 *             rval = right[j]
 * 
 */
      __pyx_t_37 = __pyx_v_i;
      __pyx_v_lval = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_37, __pyx_pybuffernd_left.diminfo[0].strides));

      /* "pandas/src/join_helper.pxi":1865
 * 
 *             lval = left[i]
 *             rval = right[j]             # <<<<<<<<<<<<<<
 * 
 *             if lval == rval:
 */
      __pyx_t_38 = __pyx_v_j;
      __pyx_v_rval = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_38, __pyx_pybuffernd_right.diminfo[0].strides));

      /* "pandas/src/join_helper.pxi":1867
 *             rval = right[j]
 * 
 *             if lval == rval:             # <<<<<<<<<<<<<<
 *                 lindexer[count] = i
 *                 rindexer[count] = j
 */
      __pyx_t_2 = ((__pyx_v_lval == __pyx_v_rval) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1868
 * 
 *             if lval == rval:
 *                 lindexer[count] = i             # <<<<<<<<<<<<<<
 *                 rindexer[count] = j
 *                 result[count] = lval
 */
        __pyx_t_39 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_39, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

        /* "pandas/src/join_helper.pxi":1869
 *             if lval == rval:
 *                 lindexer[count] = i
 *                 rindexer[count] = j             # <<<<<<<<<<<<<<
 *                 result[count] = lval
 *                 count += 1
 */
        __pyx_t_40 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_40, __pyx_pybuffernd_rindexer.diminfo[0].strides) = __pyx_v_j;

        /* "pandas/src/join_helper.pxi":1870
 *                 lindexer[count] = i
 *                 rindexer[count] = j
 *                 result[count] = lval             # <<<<<<<<<<<<<<
 *                 count += 1
 *                 if i < nleft - 1:
 */
        __pyx_t_41 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_41, __pyx_pybuffernd_result.diminfo[0].strides) = __pyx_v_lval;

        /* "pandas/src/join_helper.pxi":1871
 *                 rindexer[count] = j
 *                 result[count] = lval
 *                 count += 1             # <<<<<<<<<<<<<<
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:
 */
        __pyx_v_count = (__pyx_v_count + 1);

        /* "pandas/src/join_helper.pxi":1872
 *                 result[count] = lval
 *                 count += 1
 *                 if i < nleft - 1:             # <<<<<<<<<<<<<<
 *                     if j < nright - 1 and right[j + 1] == rval:
 *                         j += 1
 */
        __pyx_t_2 = ((__pyx_v_i < (__pyx_v_nleft - 1)) != 0);
        if (__pyx_t_2) {

          /* "pandas/src/join_helper.pxi":1873
 *                 count += 1
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:             # <<<<<<<<<<<<<<
 *                         j += 1
 *                     else:
 */
          __pyx_t_5 = ((__pyx_v_j < (__pyx_v_nright - 1)) != 0);
          if (__pyx_t_5) {
          } else {
            __pyx_t_2 = __pyx_t_5;
            goto __pyx_L31_bool_binop_done;
          }
          __pyx_t_42 = (__pyx_v_j + 1);
          __pyx_t_5 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_42, __pyx_pybuffernd_right.diminfo[0].strides)) == __pyx_v_rval) != 0);
          __pyx_t_2 = __pyx_t_5;
          __pyx_L31_bool_binop_done:;
          if (__pyx_t_2) {

            /* "pandas/src/join_helper.pxi":1874
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:
 *                         j += 1             # <<<<<<<<<<<<<<
 *                     else:
 *                         i += 1
 */
            __pyx_v_j = (__pyx_v_j + 1);

            /* "pandas/src/join_helper.pxi":1873
 *                 count += 1
 *                 if i < nleft - 1:
 *                     if j < nright - 1 and right[j + 1] == rval:             # <<<<<<<<<<<<<<
 *                         j += 1
 *                     else:
 */
            goto __pyx_L30;
          }

          /* "pandas/src/join_helper.pxi":1876
 *                         j += 1
 *                     else:
 *                         i += 1             # <<<<<<<<<<<<<<
 *                         if left[i] != rval:
 *                             j += 1
 */
          /*else*/ {
            __pyx_v_i = (__pyx_v_i + 1);

            /* "pandas/src/join_helper.pxi":1877
 *                     else:
 *                         i += 1
 *                         if left[i] != rval:             # <<<<<<<<<<<<<<
 *                             j += 1
 *                 elif j < nright - 1:
 */
            __pyx_t_43 = __pyx_v_i;
            __pyx_t_2 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_left.rcbuffer->pybuffer.buf, __pyx_t_43, __pyx_pybuffernd_left.diminfo[0].strides)) != __pyx_v_rval) != 0);
            if (__pyx_t_2) {

              /* "pandas/src/join_helper.pxi":1878
 *                         i += 1
 *                         if left[i] != rval:
 *                             j += 1             # <<<<<<<<<<<<<<
 *                 elif j < nright - 1:
 *                     j += 1
 */
              __pyx_v_j = (__pyx_v_j + 1);

              /* "pandas/src/join_helper.pxi":1877
 *                     else:
 *                         i += 1
 *                         if left[i] != rval:             # <<<<<<<<<<<<<<
 *                             j += 1
 *                 elif j < nright - 1:
 */
            }
          }
          __pyx_L30:;

          /* "pandas/src/join_helper.pxi":1872
 *                 result[count] = lval
 *                 count += 1
 *                 if i < nleft - 1:             # <<<<<<<<<<<<<<
 *                     if j < nright - 1 and right[j + 1] == rval:
 *                         j += 1
 */
          goto __pyx_L29;
        }

        /* "pandas/src/join_helper.pxi":1879
 *                         if left[i] != rval:
 *                             j += 1
 *                 elif j < nright - 1:             # <<<<<<<<<<<<<<
 *                     j += 1
 *                     if lval != right[j]:
 */
        __pyx_t_2 = ((__pyx_v_j < (__pyx_v_nright - 1)) != 0);
        if (__pyx_t_2) {

          /* "pandas/src/join_helper.pxi":1880
 *                             j += 1
 *                 elif j < nright - 1:
 *                     j += 1             # <<<<<<<<<<<<<<
 *                     if lval != right[j]:
 *                         i += 1
 */
          __pyx_v_j = (__pyx_v_j + 1);

          /* "pandas/src/join_helper.pxi":1881
 *                 elif j < nright - 1:
 *                     j += 1
 *                     if lval != right[j]:             # <<<<<<<<<<<<<<
 *                         i += 1
 *                 else:
 */
          __pyx_t_44 = __pyx_v_j;
          __pyx_t_2 = ((__pyx_v_lval != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_right.rcbuffer->pybuffer.buf, __pyx_t_44, __pyx_pybuffernd_right.diminfo[0].strides))) != 0);
          if (__pyx_t_2) {

            /* "pandas/src/join_helper.pxi":1882
 *                     j += 1
 *                     if lval != right[j]:
 *                         i += 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     # end of the road
 */
            __pyx_v_i = (__pyx_v_i + 1);

            /* "pandas/src/join_helper.pxi":1881
 *                 elif j < nright - 1:
 *                     j += 1
 *                     if lval != right[j]:             # <<<<<<<<<<<<<<
 *                         i += 1
 *                 else:
 */
          }

          /* "pandas/src/join_helper.pxi":1879
 *                         if left[i] != rval:
 *                             j += 1
 *                 elif j < nright - 1:             # <<<<<<<<<<<<<<
 *                     j += 1
 *                     if lval != right[j]:
 */
          goto __pyx_L29;
        }

        /* "pandas/src/join_helper.pxi":1885
 *                 else:
 *                     # end of the road
 *                     break             # <<<<<<<<<<<<<<
 *             elif lval < rval:
 *                 lindexer[count] = i
 */
        /*else*/ {
          goto __pyx_L21_break;
        }
        __pyx_L29:;

        /* "pandas/src/join_helper.pxi":1867
 *             rval = right[j]
 * 
 *             if lval == rval:             # <<<<<<<<<<<<<<
 *                 lindexer[count] = i
 *                 rindexer[count] = j
 */
        goto __pyx_L28;
      }

      /* "pandas/src/join_helper.pxi":1886
 *                     # end of the road
 *                     break
 *             elif lval < rval:             # <<<<<<<<<<<<<<
 *                 lindexer[count] = i
 *                 rindexer[count] = -1
 */
      __pyx_t_2 = ((__pyx_v_lval < __pyx_v_rval) != 0);
      if (__pyx_t_2) {

        /* "pandas/src/join_helper.pxi":1887
 *                     break
 *             elif lval < rval:
 *                 lindexer[count] = i             # <<<<<<<<<<<<<<
 *                 rindexer[count] = -1
 *                 result[count] = lval
 */
        __pyx_t_45 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_45, __pyx_pybuffernd_lindexer.diminfo[0].strides) = __pyx_v_i;

        /* "pandas/src/join_helper.pxi":1888
 *             elif lval < rval:
 *                 lindexer[count] = i
 *                 rindexer[count] = -1             # <<<<<<<<<<<<<<
 *                 result[count] = lval
 *                 count += 1
 */
        __pyx_t_46 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_rindexer.rcbuffer->pybuffer.buf, __pyx_t_46, __pyx_pybuffernd_rindexer.diminfo[0].strides) = -1LL;

        /* "pandas/src/join_helper.pxi":1889
 *                 lindexer[count] = i
 *                 rindexer[count] = -1
 *                 result[count] = lval             # <<<<<<<<<<<<<<
 *                 count += 1
 *                 i += 1
 */
        __pyx_t_47 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_result.rcbuffer->pybuffer.buf, __pyx_t_47, __pyx_pybuffernd_result.diminfo[0].strides) = __pyx_v_lval;

        /* "pandas/src/join_helper.pxi":1890
 *                 rindexer[count] = -1
 *                 result[count] = lval
 *                 count += 1             # <<<<<<<<<<<<<<
 *                 i += 1
 *             else:
 */
        __pyx_v_count = (__pyx_v_count + 1);

        /* "pandas/src/join_helper.pxi":1891
 *                 result[count] = lval
 *                 count += 1
 *                 i += 1             # <<<<<<<<<<<<<<
 *             else:
 *                 lindexer[count] = -1
 */
        __pyx_v_i = (__pyx_v_i + 1);

        /* "pandas/src/join_helper.pxi":1886
 *                     # end of the road
 *                     break
 *             elif lval < rval:             # <<<<<<<<<<<<<<
 *                 lindexer[count] = i
 *                 rindexer[count] = -1
 */
        goto __pyx_L28;
      }

      /* "pandas/src/join_helper.pxi":1893
 *                 i += 1
 *             else:
 *                 lindexer[count] = -1             # <<<<<<<<<<<<<<
 *                 rindexer[count] = j
 *                 result[count] = rval
 */
      /*else*/ {
        __pyx_t_48 = __pyx_v_count;
        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_lindexer.rcbuffer->pybuffer.buf, __pyx_t_48, __pyx_pybuffernd_lindexer.diminfo[0].strides) = -1LL;

        /* "pandas/src/join_helper.pxi":1894
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  /* "pandas/src/join_helper.pxi":1576
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 * # @cython.boundscheck(False)
 * def left_join_indexer_int64(ndarray[int64_t] left,             # <<<<<<<<<<<<<<
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 */
  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_6pandas_5_join_59left_join_indexer_int64, NULL, __pyx_n_s_pandas__join); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 1576, __pyx_L1_error)
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  /* "pandas/src/join_helper.pxi":1680
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 *                                 ndarray[int64_t] right):
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 */
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  /* "pandas/src/join_helper.pxi":1774
 * @cython.wraparound(False)
 * @cython.boundscheck(False)
 * def outer_join_indexer_int64(ndarray[int64_t] left,             # <<<<<<<<<<<<<<
 *                                 ndarray[int64_t] right):
 *     cdef:
 */
  __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_6pandas_5_join_63outer_join_indexer_int64, NULL, __pyx_n_s_pandas__join); if (unlikely(!__pyx_t_1)) __PYX_ERR(1, 1774, __pyx_L1_error)
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  /* "numpy.pxd":980
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 * 
 * cdef inline object get_array_base(ndarray arr):             # <<<<<<<<<<<<<<
 *     if arr.base is NULL:
 *         return None
 */

  /*--- Wrapped vars code ---*/

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static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
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        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
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    }
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/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
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{
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                 func_name, more_or_less, num_expected,
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/* RaiseDoubleKeywords */
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{
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        #if PY_MAJOR_VERSION >= 3
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        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
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    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
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    const char* function_name)
{
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            continue;
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        #if PY_MAJOR_VERSION < 3
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                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
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                #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;
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                PyObject*** argname = argnames;
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                    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;
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        } else
            goto invalid_keyword_type;
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            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
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            goto invalid_keyword;
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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'",
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bad:
    return -1;
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/* ArgTypeTest */
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);
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static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
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    if (none_allowed && obj == Py_None) return 1;
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        #if PY_MAJOR_VERSION == 2
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    else {
        if (likely(PyObject_TypeCheck(obj, type))) return 1;
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/* BufferFormatCheck */
static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
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}
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
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  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 = '@';
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  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
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  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
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static int __Pyx_BufFmt_ParseNumber(const char** ts) {
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static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
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        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
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static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
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    case 'B': return "'unsigned char'";
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    case 'H': return "'unsigned short'";
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    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";
  }
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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;
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static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
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    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);
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      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
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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;
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typedef struct { int x; char c; } __Pyx_pad_int;
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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;
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                                                                 ctx->is_complex);
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    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
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        ctx->head->field = type->fields;
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      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
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          __Pyx_BufFmt_RaiseExpected(ctx);
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    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);
}

/* GetModuleGlobalName */
  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;
}

/* PyObjectCall */
    #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* ExtTypeTest */
    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;
}

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

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

/* PyErrFetchRestore */
    #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

/* RaiseTooManyValuesToUnpack */
    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);
}

/* RaiseNeedMoreValuesToUnpack */
    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");
}

/* IterFinish */
    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
}

/* UnpackItemEndCheck */
    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;
}

/* PyObjectCallMethO */
    #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

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

/* RaiseException */
      #if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
#if PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* SaveResetException */
        #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* PyErrExceptionMatches */
        #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    return PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetException */
        #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
#endif
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* WriteUnraisableException */
          static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback, CYTHON_UNUSED int nogil) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_PyThreadState_declare
#ifdef WITH_THREAD
    PyGILState_STATE state;
    if (nogil)
        state = PyGILState_Ensure();
#ifdef _MSC_VER
    else state = (PyGILState_STATE)-1;
#endif
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    if (full_traceback) {
        Py_XINCREF(old_exc);
        Py_XINCREF(old_val);
        Py_XINCREF(old_tb);
        __Pyx_ErrRestore(old_exc, old_val, old_tb);
        PyErr_PrintEx(1);
    }
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
#ifdef WITH_THREAD
    if (nogil)
        PyGILState_Release(state);
#endif
}

/* Import */
          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;
}

/* GetAttr */
          static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_COMPILING_IN_CPYTHON
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* GetAttr3 */
          static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError))
            goto bad;
        PyErr_Clear();
        r = d;
        Py_INCREF(d);
    }
    return r;
bad:
    return NULL;
}

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

/* GetVTable */
          static void* __Pyx_GetVtable(PyObject *dict) {
    void* ptr;
    PyObject *ob = PyObject_GetItem(dict, __pyx_n_s_pyx_vtable);
    if (!ob)
        goto bad;
#if PY_VERSION_HEX >= 0x02070000
    ptr = PyCapsule_GetPointer(ob, 0);
#else
    ptr = PyCObject_AsVoidPtr(ob);
#endif
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

/* ImportFrom */
          static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* CodeObjectCache */
          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);
}

/* AddTraceback */
          #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


          /* CIntFromPyVerify */
          #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;\
    }

/* CIntToPy */
          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);
    }
}

/* None */
          #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

/* None */
          #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

/* None */
          #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

/* None */
          #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

/* CIntToPy */
          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);
    }
}

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

/* CIntToPy */
          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);
    }
}

/* CIntFromPy */
          static CYTHON_INLINE npy_int64 __Pyx_PyInt_As_npy_int64(PyObject *x) {
    const npy_int64 neg_one = (npy_int64) -1, const_zero = (npy_int64) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int64) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int64, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int64) 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 (npy_int64) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int64, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 2 * PyLong_SHIFT) {
                            return (npy_int64) (((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 3 * PyLong_SHIFT) {
                            return (npy_int64) (((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 4 * PyLong_SHIFT) {
                            return (npy_int64) (((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)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 (npy_int64) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int64) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, 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 (npy_int64) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int64, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int64,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int64) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int64) (((npy_int64)-1)*(((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int64) ((((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int64) (((npy_int64)-1)*(((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int64) ((((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int64) (((npy_int64)-1)*(((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int64) ((((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int64) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, long, PyLong_AsLong(x))
            } else if (sizeof(npy_int64) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, 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
            npy_int64 val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(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 (npy_int64) -1;
        }
    } else {
        npy_int64 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int64) -1;
        val = __Pyx_PyInt_As_npy_int64(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int64");
    return (npy_int64) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int64");
    return (npy_int64) -1;
}

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

/* CIntToPy */
          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);
    }
}

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

/* CheckBinaryVersion */
          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;
}

/* ModuleImport */
          #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

/* TypeImport */
          #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. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        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. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

/* InitStrings */
          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_IntOrLong(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
