/* Generated by Cython 0.28.2 */

#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 < 0x03030000)
    #error Cython requires Python 2.6+ or Python 3.3+.
#else
#define CYTHON_ABI "0_28_2"
#define CYTHON_FUTURE_DIVISION 0
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
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    #define __fastcall
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#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #if PY_VERSION_HEX >= 0x02070000
    #define HAVE_LONG_LONG
  #endif
#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_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
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    #define CYTHON_USE_ASYNC_SLOTS 0
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    #define CYTHON_USE_ASYNC_SLOTS 1
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  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
#elif defined(PYSTON_VERSION)
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 1
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
  #endif
  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #undef CYTHON_USE_TP_FINALIZE
  #define CYTHON_USE_TP_FINALIZE 0
#else
  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
  #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
    #define CYTHON_USE_PYTYPE_LOOKUP 1
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  #if PY_MAJOR_VERSION < 3
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #if PY_VERSION_HEX < 0x02070000
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
  #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
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  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
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  #if PY_VERSION_HEX < 0x030300F0
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    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
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  #ifndef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 0
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  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
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  #ifndef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 1
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT (0 && PY_VERSION_HEX >= 0x03050000)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
  #endif
#endif
#if !defined(CYTHON_FAST_PYCCALL)
#define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
#endif
#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
  #undef SHIFT
  #undef BASE
  #undef MASK
#endif
#ifndef __has_attribute
  #define __has_attribute(x) 0
#endif
#ifndef __has_cpp_attribute
  #define __has_cpp_attribute(x) 0
#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
#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_MAYBE_UNUSED_VAR
#  if defined(__cplusplus)
     template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
#  else
#    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
#  endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned char     uint8_t;
           typedef unsigned int      uint32_t;
        #else
           typedef unsigned __int8   uint8_t;
           typedef unsigned __int32  uint32_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
#ifndef CYTHON_FALLTHROUGH
  #if defined(__cplusplus) && __cplusplus >= 201103L
    #if __has_cpp_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH [[fallthrough]]
    #elif __has_cpp_attribute(clang::fallthrough)
      #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
    #elif __has_cpp_attribute(gnu::fallthrough)
      #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
    #endif
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if __has_attribute(fallthrough)
      #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
    #else
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
  #if defined(__clang__ ) && defined(__apple_build_version__)
    #if __apple_build_version__ < 7000000
      #undef  CYTHON_FALLTHROUGH
      #define CYTHON_FALLTHROUGH
    #endif
  #endif
#endif

#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif 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 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)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyClass_Type
#else
  #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)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #define __Pyx_DefaultClassType PyType_Type
#endif
#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 <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_FAST_PYCCALL
#define __Pyx_PyFastCFunction_Check(func)\
    ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)))))
#else
#define __Pyx_PyFastCFunction_Check(func) 0
#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
#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0; // PyThread_create_key reports success always
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif // TSS (Thread Specific Storage) API
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
#else
#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
#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_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #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_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #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_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #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_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #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
#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
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#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)
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#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
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  #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) : (Py_INCREF(func), func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#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; \
}

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

#define __PYX_HAVE__pandas___libs__groupby
#define __PYX_HAVE_API__pandas___libs__groupby
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include <stdlib.h>
#include "pythread.h"
#include "numpy/ndarrayobject.h"
#include "numpy_helper.h"
#include "headers/stdint.h"
#include "numpy/npy_math.h"
#include "pystate.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#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)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_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 const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const 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_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const 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)
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);
}
#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);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_ASSUME_SAFE_MACROS
#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 CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime;
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;

/* Header.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
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "pandas/_libs/groupby.pyx",
  "pandas/_libs/groupby_helper.pxi",
  "__init__.pxd",
  "pandas/_libs/src/util.pxd",
  "stringsource",
  "type.pxd",
  "bool.pxd",
  "complex.pxd",
};
/* BufferFormatStructs.proto */
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;

/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()

/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;
#define __Pyx_MemoryView_Len(m)  (m.shape[0])

/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __pyx_atomic_int_type int
#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                    !defined(__i386__)
    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
    #include <Windows.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type LONG
    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using Intel atomics"
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif

/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif


/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":730
 * # 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":731
 * 
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":737
 * #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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":738
 * 
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":744
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":745
 * 
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * # 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * # 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":756
 * 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;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":758
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":759
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":760
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":762
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":763
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":765
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":766
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":767
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struct __pyx_MemviewEnum_obj;
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struct __pyx_memoryviewslice_obj;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":769
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":770
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":771
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":773
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/* RaiseArgTupleInvalid.proto */
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/* RaiseTooManyValuesToUnpack.proto */
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/* IterFinish.proto */
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#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
#endif

/* PyErrFetchRestore.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
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);

/* MemviewSliceInit.proto */
#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d
#define __Pyx_MEMVIEW_DIRECT   1
#define __Pyx_MEMVIEW_PTR      2
#define __Pyx_MEMVIEW_FULL     4
#define __Pyx_MEMVIEW_CONTIG   8
#define __Pyx_MEMVIEW_STRIDED  16
#define __Pyx_MEMVIEW_FOLLOW   32
#define __Pyx_IS_C_CONTIG 1
#define __Pyx_IS_F_CONTIG 2
static int __Pyx_init_memviewslice(
                struct __pyx_memoryview_obj *memview,
                int ndim,
                __Pyx_memviewslice *memviewslice,
                int memview_is_new_reference);
static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)
#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))
#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)
static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);

/* PyDictContains.proto */
static CYTHON_INLINE int __Pyx_PyDict_ContainsTF(PyObject* item, PyObject* dict, int eq) {
    int result = PyDict_Contains(dict, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* DictGetItem.proto */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif

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

/* UnicodeAsUCS4.proto */
static CYTHON_INLINE Py_UCS4 __Pyx_PyUnicode_AsPy_UCS4(PyObject*);

/* object_ord.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyObject_Ord(c)\
    (likely(PyUnicode_Check(c)) ? (long)__Pyx_PyUnicode_AsPy_UCS4(c) : __Pyx__PyObject_Ord(c))
#else
#define __Pyx_PyObject_Ord(c) __Pyx__PyObject_Ord(c)
#endif
static long __Pyx__PyObject_Ord(PyObject* c);

/* SetItemInt.proto */
#define __Pyx_SetItemInt(o, i, v, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_SetItemInt_Fast(o, (Py_ssize_t)i, v, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list assignment index out of range"), -1) :\
               __Pyx_SetItemInt_Generic(o, to_py_func(i), v)))
static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v);
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v,
                                               int is_list, int wraparound, int boundscheck);

/* PyObjectCallNoArg.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
#else
#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
#endif

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

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

/* UnpackTupleError.proto */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);

/* UnpackTuple2.proto */
#define __Pyx_unpack_tuple2(tuple, value1, value2, is_tuple, has_known_size, decref_tuple)\
    (likely(is_tuple || PyTuple_Check(tuple)) ?\
        (likely(has_known_size || PyTuple_GET_SIZE(tuple) == 2) ?\
            __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple) :\
            (__Pyx_UnpackTupleError(tuple, 2), -1)) :\
        __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple))
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
    PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
static int __Pyx_unpack_tuple2_generic(
    PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);

/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* None.proto */
static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_mod___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t);

/* IncludeStringH.proto */
#include <string.h>

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#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_FAST_THREAD_STATE
#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_FAST_THREAD_STATE
#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);

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

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

/* None.proto */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);

/* UnaryNegOverflows.proto */
#define UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

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

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

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

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CythonFunction.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);

/* FusedFunction.proto */
typedef struct {
    __pyx_CyFunctionObject func;
    PyObject *__signatures__;
    PyObject *type;
    PyObject *self;
} __pyx_FusedFunctionObject;
#define __pyx_FusedFunction_NewEx(ml, flags, qualname, self, module, globals, code)\
        __pyx_FusedFunction_New(__pyx_FusedFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__pyx_FusedFunction_New(PyTypeObject *type,
                                         PyMethodDef *ml, int flags,
                                         PyObject *qualname, PyObject *self,
                                         PyObject *module, PyObject *globals,
                                         PyObject *code);
static int __pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self);
static PyTypeObject *__pyx_FusedFunctionType = NULL;
static int __pyx_FusedFunction_init(void);
#define __Pyx_FusedFunction_USED

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* 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);

#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


/* 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;

/* MemviewSliceIsContig.proto */
static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);

/* OverlappingSlices.proto */
static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                                __Pyx_memviewslice *slice2,
                                int ndim, size_t itemsize);

/* Capsule.proto */
static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);

/* TypeInfoCompare.proto */
static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);

/* MemviewSliceValidateAndInit.proto */
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int8_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int16_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int64_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint8_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint16_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint64_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_float32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_float64_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_nn___pyx_t_5numpy_int64_t(PyObject *, int writable_flag);

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

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_float64_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_float64_t(const char *itemp, PyObject *obj);

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int8(npy_int8 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int8_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int8_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int16(npy_int16 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int16_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int16_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int32_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int32_t(const char *itemp, PyObject *obj);

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

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int64_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int64_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint8(npy_uint8 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint8_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint8_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint16(npy_uint16 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint16_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint16_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint32(npy_uint32 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint32_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint32_t(const char *itemp, PyObject *obj);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint64(npy_uint64 value);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint64_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint64_t(const char *itemp, PyObject *obj);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_float32_t(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_float32_t(const char *itemp, PyObject *obj);

/* RealImag.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))
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#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
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    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
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#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
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/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
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#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
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/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

/* MemviewSliceCopyTemplate.proto */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
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/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

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

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int8 __Pyx_PyInt_As_npy_int8(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int16 __Pyx_PyInt_As_npy_int16(PyObject *);

/* BytesContains.proto */
static CYTHON_INLINE int __Pyx_BytesContains(PyObject* bytes, char character);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int32 __Pyx_PyInt_As_npy_int32(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_uint8 __Pyx_PyInt_As_npy_uint8(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_uint16 __Pyx_PyInt_As_npy_uint16(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_uint32 __Pyx_PyInt_As_npy_uint32(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_uint64 __Pyx_PyInt_As_npy_uint64(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType __Pyx_PyInt_As_enum____pyx_t_6pandas_5_libs_5algos_TiebreakEnumType(PyObject *);

/* ImportNumPyArray.proto */
static PyObject *__pyx_numpy_ndarray = NULL;
static PyObject* __Pyx_ImportNumPyArrayTypeIfAvailable(void);

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

/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyInt_As_char(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);

static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/

/* 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 '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*/
static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/

/* Module declarations from 'cython.view' */

/* Module declarations from 'cython' */

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

/* Module declarations from 'util' */
static CYTHON_INLINE int __pyx_f_4util_is_float_object(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_4util_set_value_at_unsafe(PyArrayObject *, PyObject *, PyObject *); /*proto*/

/* Module declarations from 'pandas._libs.algos' */
static CYTHON_INLINE Py_ssize_t __pyx_fuse_9__pyx_f_6pandas_5_libs_5algos_swap(__pyx_t_5numpy_float64_t *, __pyx_t_5numpy_float64_t *); /*proto*/

/* Module declarations from 'pandas._libs.groupby' */
static PyTypeObject *__pyx_array_type = 0;
static PyTypeObject *__pyx_MemviewEnum_type = 0;
static PyTypeObject *__pyx_memoryview_type = 0;
static PyTypeObject *__pyx_memoryviewslice_type = 0;
static __pyx_t_5numpy_int64_t __pyx_v_6pandas_5_libs_7groupby_iNaT;
static double __pyx_v_6pandas_5_libs_7groupby_NaN;
static double __pyx_v_6pandas_5_libs_7groupby_nan;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_7groupby_median_linear(__pyx_t_5numpy_float64_t *, int); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_7groupby_kth_smallest_c(__pyx_t_5numpy_float64_t *, Py_ssize_t, Py_ssize_t); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
static void *__pyx_align_pointer(void *, size_t); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
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_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_nn___pyx_t_5numpy_uint8_t = { "uint8_t", NULL, sizeof(__pyx_t_5numpy_uint8_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_uint8_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_uint8_t), 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_object = { "Python object", NULL, sizeof(PyObject *), { 0 }, 0, 'O', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t = { "int8_t", NULL, sizeof(__pyx_t_5numpy_int8_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int8_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int8_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int16_t = { "int16_t", NULL, sizeof(__pyx_t_5numpy_int16_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int16_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int16_t), 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 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_uint16_t = { "uint16_t", NULL, sizeof(__pyx_t_5numpy_uint16_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_uint16_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_uint16_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_uint32_t = { "uint32_t", NULL, sizeof(__pyx_t_5numpy_uint32_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_uint32_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_uint32_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_uint64_t = { "uint64_t", NULL, sizeof(__pyx_t_5numpy_uint64_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_uint64_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_uint64_t), 0 };
#define __Pyx_MODULE_NAME "pandas._libs.groupby"
extern int __pyx_module_is_main_pandas___libs__groupby;
int __pyx_module_is_main_pandas___libs__groupby = 0;

/* Implementation of 'pandas._libs.groupby' */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_AssertionError;
static PyObject *__pyx_builtin_NotImplementedError;
static PyObject *__pyx_builtin_object;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
static const char __pyx_k_K[] = "K";
static const char __pyx_k_N[] = "N";
static const char __pyx_k_O[] = "O";
static const char __pyx_k_T[] = "T";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_s[] = "s";
static const char __pyx_k__3[] = "()";
static const char __pyx_k__5[] = "|";
static const char __pyx_k_as[] = "_as";
static const char __pyx_k_ct[] = "ct";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_ii[] = "ii";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_NaN[] = "NaN";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_any[] = "any";
static const char __pyx_k_idx[] = "idx";
static const char __pyx_k_inf[] = "inf";
static const char __pyx_k_lab[] = "lab";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_nan[] = "nan";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_out[] = "out";
static const char __pyx_k_pct[] = "pct";
static const char __pyx_k_ptr[] = "ptr";
static const char __pyx_k_top[] = "top";
static const char __pyx_k_typ[] = "_typ";
static const char __pyx_k_val[] = "val";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_data[] = "data";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_dups[] = "dups";
static const char __pyx_k_fill[] = "fill";
static const char __pyx_k_keep[] = "keep";
static const char __pyx_k_kind[] = "kind";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mask[] = "mask";
static const char __pyx_k_maxx[] = "maxx";
static const char __pyx_k_mean[] = "mean";
static const char __pyx_k_minx[] = "minx";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_mval[] = "mval";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_nobs[] = "nobs";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_rank[] = "rank";
static const char __pyx_k_resx[] = "resx";
static const char __pyx_k_sign[] = "sign";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_sumx[] = "sumx";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_accum[] = "accum";
static const char __pyx_k_algos[] = "algos";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_bfill[] = "bfill";
static const char __pyx_k_class[] = "__class__";
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_error[] = "error";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_idxer[] = "idxer";
static const char __pyx_k_iinfo[] = "iinfo";
static const char __pyx_k_int64[] = "int64";
static const char __pyx_k_isnan[] = "isnan";
static const char __pyx_k_limit[] = "limit";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_order[] = "order";
static const char __pyx_k_prodx[] = "prodx";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_strip[] = "strip";
static const char __pyx_k_uint8[] = "uint8";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_counts[] = "counts";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_int8_t[] = "int8_t";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_labels[] = "labels";
static const char __pyx_k_name_2[] = "__name__";
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_pickle[] = "pickle";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_skipna[] = "skipna";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_argsort[] = "argsort";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_indexer[] = "indexer";
static const char __pyx_k_int16_t[] = "int16_t";
static const char __pyx_k_int32_t[] = "int32_t";
static const char __pyx_k_int64_t[] = "int64_t";
static const char __pyx_k_keep_na[] = "keep_na";
static const char __pyx_k_lexsort[] = "lexsort";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_ncounts[] = "ncounts";
static const char __pyx_k_ngroups[] = "ngroups";
static const char __pyx_k_oldmean[] = "oldmean";
static const char __pyx_k_periods[] = "periods";
static const char __pyx_k_putmask[] = "putmask";
static const char __pyx_k_uint8_t[] = "uint8_t";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_counts_2[] = "_counts";
static const char __pyx_k_defaults[] = "defaults";
static const char __pyx_k_flag_val[] = "flag_val";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_tiebreak[] = "tiebreak";
static const char __pyx_k_uint16_t[] = "uint16_t";
static const char __pyx_k_uint32_t[] = "uint32_t";
static const char __pyx_k_uint64_t[] = "uint64_t";
static const char __pyx_k_val_test[] = "val_test";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_ascending[] = "ascending";
static const char __pyx_k_direction[] = "direction";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_float32_t[] = "float32_t";
static const char __pyx_k_float64_t[] = "float64_t";
static const char __pyx_k_grp_sizes[] = "grp_sizes";
static const char __pyx_k_grp_start[] = "grp_start";
static const char __pyx_k_int64_max[] = "_int64_max";
static const char __pyx_k_mergesort[] = "mergesort";
static const char __pyx_k_min_count[] = "min_count";
static const char __pyx_k_na_option[] = "na_option";
static const char __pyx_k_ones_like[] = "ones_like";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_sum_ranks[] = "sum_ranks";
static const char __pyx_k_val_start[] = "val_start";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_empty_like[] = "empty_like";
static const char __pyx_k_idxer_slot[] = "idxer_slot";
static const char __pyx_k_label_seen[] = "label_seen";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_signatures[] = "signatures";
static const char __pyx_k_zeros_like[] = "zeros_like";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_filled_vals[] = "filled_vals";
static const char __pyx_k_masked_vals[] = "masked_vals";
static const char __pyx_k_tiebreakers[] = "tiebreakers";
static const char __pyx_k_ties_method[] = "ties_method";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_group_cumsum[] = "group_cumsum";
static const char __pyx_k_grp_na_count[] = "grp_na_count";
static const char __pyx_k_nan_fill_val[] = "nan_fill_val";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_curr_fill_idx[] = "curr_fill_idx";
static const char __pyx_k_group_any_all[] = "group_any_all";
static const char __pyx_k_grp_tie_count[] = "grp_tie_count";
static const char __pyx_k_grp_vals_seen[] = "grp_vals_seen";
static const char __pyx_k_label_indexer[] = "label_indexer";
static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_sorted_labels[] = "sorted_labels";
static const char __pyx_k_AssertionError[] = "AssertionError";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_group_max_int64[] = "group_max_int64";
static const char __pyx_k_group_min_int64[] = "group_min_int64";
static const char __pyx_k_group_nth_int64[] = "group_nth_int64";
static const char __pyx_k_is_datetimelike[] = "is_datetimelike";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_group_last_int64[] = "group_last_int64";
static const char __pyx_k_group_nth_object[] = "group_nth_object";
static const char __pyx_k_group_rank_int64[] = "group_rank_int64";
static const char __pyx_k_group_add_float32[] = "group_add_float32";
static const char __pyx_k_group_add_float64[] = "group_add_float64";
static const char __pyx_k_group_last_object[] = "group_last_object";
static const char __pyx_k_group_max_float32[] = "group_max_float32";
static const char __pyx_k_group_max_float64[] = "group_max_float64";
static const char __pyx_k_group_min_float32[] = "group_min_float32";
static const char __pyx_k_group_min_float64[] = "group_min_float64";
static const char __pyx_k_group_nth_float32[] = "group_nth_float32";
static const char __pyx_k_group_nth_float64[] = "group_nth_float64";
static const char __pyx_k_group_var_float32[] = "group_var_float32";
static const char __pyx_k_group_var_float64[] = "group_var_float64";
static const char __pyx_k_groupsort_indexer[] = "groupsort_indexer";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_group_cummax_int64[] = "group_cummax_int64";
static const char __pyx_k_group_cummin_int64[] = "group_cummin_int64";
static const char __pyx_k_group_last_float32[] = "group_last_float32";
static const char __pyx_k_group_last_float64[] = "group_last_float64";
static const char __pyx_k_group_mean_float32[] = "group_mean_float32";
static const char __pyx_k_group_mean_float64[] = "group_mean_float64";
static const char __pyx_k_group_ohlc_float32[] = "group_ohlc_float32";
static const char __pyx_k_group_ohlc_float64[] = "group_ohlc_float64";
static const char __pyx_k_group_prod_float32[] = "group_prod_float32";
static const char __pyx_k_group_prod_float64[] = "group_prod_float64";
static const char __pyx_k_group_rank_float32[] = "group_rank_float32";
static const char __pyx_k_group_rank_float64[] = "group_rank_float64";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_NotImplementedError[] = "NotImplementedError";
static const char __pyx_k_group_shift_indexer[] = "group_shift_indexer";
static const char __pyx_k_index_out_of_bounds[] = "index out of bounds";
static const char __pyx_k_group_cummax_float32[] = "group_cummax_float32";
static const char __pyx_k_group_cummax_float64[] = "group_cummax_float64";
static const char __pyx_k_group_cummin_float32[] = "group_cummin_float32";
static const char __pyx_k_group_cummin_float64[] = "group_cummin_float64";
static const char __pyx_k_group_fillna_indexer[] = "group_fillna_indexer";
static const char __pyx_k_group_median_float64[] = "group_median_float64";
static const char __pyx_k_len_index_len_labels[] = "len(index) != len(labels)";
static const char __pyx_k_pandas__libs_groupby[] = "pandas._libs.groupby";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_group_cumprod_float64[] = "group_cumprod_float64";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static const char __pyx_k_pandas__libs_groupby_pyx[] = "pandas/_libs/groupby.pyx";
static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static const char __pyx_k_No_matching_signature_found[] = "No matching signature found";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_take_2d_axis1_float64_float64[] = "take_2d_axis1_float64_float64";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_min_count_only_used_in_add_and[] = "'min_count' only used in add and prod";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_bool_func_must_be_either_any_or[] = "'bool_func' must be either 'any' or 'all'!";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_pandas__libs_groupby_helper_pxi[] = "pandas/_libs/groupby_helper.pxi";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_Argument_values_must_have_only_o[] = "Argument 'values' must have only one dimension";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Expected_at_least_d_argument_s_g[] = "Expected at least %d argument%s, got %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_Function_call_with_ambiguous_arg[] = "Function call with ambiguous argument types";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static const char __pyx_k_Output_array_must_have_4_columns[] = "Output array must have 4 columns";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_assignment_destination_is_read_o[] = "assignment destination is read-only";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_kp_s_Argument_values_must_have_only_o;
static PyObject *__pyx_n_s_AssertionError;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_kp_s_Expected_at_least_d_argument_s_g;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Function_call_with_ambiguous_arg;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_n_s_K;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_n_s_N;
static PyObject *__pyx_n_s_NaN;
static PyObject *__pyx_kp_s_No_matching_signature_found;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_NotImplementedError;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_kp_s_Output_array_must_have_4_columns;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_T;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_View_MemoryView;
static PyObject *__pyx_kp_s__3;
static PyObject *__pyx_kp_s__5;
static PyObject *__pyx_n_s_accum;
static PyObject *__pyx_n_s_algos;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_allocate_buffer;
static PyObject *__pyx_n_s_any;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_argsort;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_as;
static PyObject *__pyx_n_s_ascending;
static PyObject *__pyx_kp_s_assignment_destination_is_read_o;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_bfill;
static PyObject *__pyx_kp_s_bool_func_must_be_either_any_or;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_kp_s_contiguous_and_direct;
static PyObject *__pyx_kp_s_contiguous_and_indirect;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_count;
static PyObject *__pyx_n_s_counts;
static PyObject *__pyx_n_s_counts_2;
static PyObject *__pyx_n_s_ct;
static PyObject *__pyx_n_s_curr_fill_idx;
static PyObject *__pyx_n_s_data;
static PyObject *__pyx_n_s_defaults;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_direction;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dtype_is_object;
static PyObject *__pyx_n_s_dups;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_empty_like;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_error;
static PyObject *__pyx_n_s_fill;
static PyObject *__pyx_n_s_filled_vals;
static PyObject *__pyx_n_s_flag_val;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_float32_t;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_float64_t;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fortran;
static PyObject *__pyx_n_u_fortran;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
static PyObject *__pyx_n_s_group_add_float32;
static PyObject *__pyx_n_s_group_add_float64;
static PyObject *__pyx_n_s_group_any_all;
static PyObject *__pyx_n_s_group_cummax_float32;
static PyObject *__pyx_n_s_group_cummax_float64;
static PyObject *__pyx_n_s_group_cummax_int64;
static PyObject *__pyx_n_s_group_cummin_float32;
static PyObject *__pyx_n_s_group_cummin_float64;
static PyObject *__pyx_n_s_group_cummin_int64;
static PyObject *__pyx_n_s_group_cumprod_float64;
static PyObject *__pyx_n_s_group_cumsum;
static PyObject *__pyx_n_s_group_fillna_indexer;
static PyObject *__pyx_n_s_group_last_float32;
static PyObject *__pyx_n_s_group_last_float64;
static PyObject *__pyx_n_s_group_last_int64;
static PyObject *__pyx_n_s_group_last_object;
static PyObject *__pyx_n_s_group_max_float32;
static PyObject *__pyx_n_s_group_max_float64;
static PyObject *__pyx_n_s_group_max_int64;
static PyObject *__pyx_n_s_group_mean_float32;
static PyObject *__pyx_n_s_group_mean_float64;
static PyObject *__pyx_n_s_group_median_float64;
static PyObject *__pyx_n_s_group_min_float32;
static PyObject *__pyx_n_s_group_min_float64;
static PyObject *__pyx_n_s_group_min_int64;
static PyObject *__pyx_n_s_group_nth_float32;
static PyObject *__pyx_n_s_group_nth_float64;
static PyObject *__pyx_n_s_group_nth_int64;
static PyObject *__pyx_n_s_group_nth_object;
static PyObject *__pyx_n_s_group_ohlc_float32;
static PyObject *__pyx_n_s_group_ohlc_float64;
static PyObject *__pyx_n_s_group_prod_float32;
static PyObject *__pyx_n_s_group_prod_float64;
static PyObject *__pyx_n_s_group_rank_float32;
static PyObject *__pyx_n_s_group_rank_float64;
static PyObject *__pyx_n_s_group_rank_int64;
static PyObject *__pyx_n_s_group_shift_indexer;
static PyObject *__pyx_n_s_group_var_float32;
static PyObject *__pyx_n_s_group_var_float64;
static PyObject *__pyx_n_s_groupsort_indexer;
static PyObject *__pyx_n_s_grp_na_count;
static PyObject *__pyx_n_s_grp_sizes;
static PyObject *__pyx_n_s_grp_start;
static PyObject *__pyx_n_s_grp_tie_count;
static PyObject *__pyx_n_s_grp_vals_seen;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_idx;
static PyObject *__pyx_n_s_idxer;
static PyObject *__pyx_n_s_idxer_slot;
static PyObject *__pyx_n_s_ii;
static PyObject *__pyx_n_s_iinfo;
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_int16_t;
static PyObject *__pyx_n_s_int32_t;
static PyObject *__pyx_n_s_int64;
static PyObject *__pyx_n_s_int64_max;
static PyObject *__pyx_n_s_int64_t;
static PyObject *__pyx_n_s_int8_t;
static PyObject *__pyx_n_s_is_datetimelike;
static PyObject *__pyx_n_s_isnan;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_keep;
static PyObject *__pyx_n_s_keep_na;
static PyObject *__pyx_n_s_kind;
static PyObject *__pyx_n_s_kwargs;
static PyObject *__pyx_n_s_lab;
static PyObject *__pyx_n_s_label_indexer;
static PyObject *__pyx_n_s_label_seen;
static PyObject *__pyx_n_s_labels;
static PyObject *__pyx_kp_s_len_index_len_labels;
static PyObject *__pyx_n_s_lexsort;
static PyObject *__pyx_n_s_limit;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_mask;
static PyObject *__pyx_n_s_masked_vals;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_maxx;
static PyObject *__pyx_n_s_mean;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_mergesort;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_min_count;
static PyObject *__pyx_kp_s_min_count_only_used_in_add_and;
static PyObject *__pyx_n_s_minx;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_mval;
static PyObject *__pyx_n_s_na_option;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_nan;
static PyObject *__pyx_n_s_nan_fill_val;
static PyObject *__pyx_n_s_ncounts;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_ngroups;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_nobs;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_s_object;
static PyObject *__pyx_n_s_offset;
static PyObject *__pyx_n_s_oldmean;
static PyObject *__pyx_n_s_ones_like;
static PyObject *__pyx_n_s_order;
static PyObject *__pyx_n_s_out;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_pandas__libs_groupby;
static PyObject *__pyx_kp_s_pandas__libs_groupby_helper_pxi;
static PyObject *__pyx_kp_s_pandas__libs_groupby_pyx;
static PyObject *__pyx_n_s_pct;
static PyObject *__pyx_n_s_period;
static PyObject *__pyx_n_s_periods;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_prodx;
static PyObject *__pyx_n_s_ptr;
static PyObject *__pyx_n_s_putmask;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_Enum;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rank;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_resx;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_sign;
static PyObject *__pyx_n_s_signatures;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_skipna;
static PyObject *__pyx_n_s_sorted_labels;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_strip;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_sum_ranks;
static PyObject *__pyx_n_s_sumx;
static PyObject *__pyx_n_s_take_2d_axis1_float64_float64;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_tiebreak;
static PyObject *__pyx_n_s_tiebreakers;
static PyObject *__pyx_n_s_ties_method;
static PyObject *__pyx_n_s_top;
static PyObject *__pyx_n_s_typ;
static PyObject *__pyx_n_s_uint16_t;
static PyObject *__pyx_n_s_uint32_t;
static PyObject *__pyx_n_s_uint64_t;
static PyObject *__pyx_n_s_uint8;
static PyObject *__pyx_n_s_uint8_t;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_val;
static PyObject *__pyx_n_s_val_start;
static PyObject *__pyx_n_s_val_test;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_n_s_zeros_like;
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_group_median_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_2group_cumprod_float64(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike, int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_4group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_signatures, PyObject *__pyx_v_args, PyObject *__pyx_v_kwargs, CYTHON_UNUSED PyObject *__pyx_v_defaults); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_120__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_78group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_122__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_80group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_124__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_82group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_126__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_84group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_128__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_86group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_130__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_88group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_132__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_90group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_134__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_92group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, CYTHON_UNUSED int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_136__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_94group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_138__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_96group_cumsum(CYTHON_UNUSED PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_out, __Pyx_memviewslice __pyx_v_values, __Pyx_memviewslice __pyx_v_labels, CYTHON_UNUSED PyObject *__pyx_v_is_datetimelike, int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_6group_shift_indexer(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_labels, int __pyx_v_ngroups, int __pyx_v_periods); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_8group_fillna_indexer(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_labels, PyArrayObject *__pyx_v_mask, PyObject *__pyx_v_direction, __pyx_t_5numpy_int64_t __pyx_v_limit); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_10group_any_all(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_labels, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_mask, PyObject *__pyx_v_val_test, int __pyx_v_skipna); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_12group_add_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_14group_prod_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_16group_var_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_18group_mean_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_20group_ohlc_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_22group_add_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_24group_prod_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_26group_var_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_28group_mean_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_30group_ohlc_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_32group_last_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_34group_nth_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, __pyx_t_5numpy_int64_t __pyx_v_rank, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_36group_rank_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike, PyObject *__pyx_v_ties_method, int __pyx_v_ascending, int __pyx_v_pct, PyObject *__pyx_v_na_option); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_38group_last_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_40group_nth_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, __pyx_t_5numpy_int64_t __pyx_v_rank, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_42group_rank_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike, PyObject *__pyx_v_ties_method, int __pyx_v_ascending, int __pyx_v_pct, PyObject *__pyx_v_na_option); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_44group_last_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_46group_nth_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, __pyx_t_5numpy_int64_t __pyx_v_rank, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_48group_rank_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike, PyObject *__pyx_v_ties_method, int __pyx_v_ascending, int __pyx_v_pct, PyObject *__pyx_v_na_option); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_50group_last_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_52group_nth_object(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, __pyx_t_5numpy_int64_t __pyx_v_rank, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_54group_max_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_56group_min_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_58group_cummin_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_60group_cummax_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_62group_max_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_64group_min_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_66group_cummin_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_68group_cummax_float32(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, CYTHON_UNUSED int __pyx_v_is_datetimelike); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_70group_max_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_72group_min_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_counts, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, Py_ssize_t __pyx_v_min_count); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_74group_cummin_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, int __pyx_v_is_datetimelike); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_7groupby_76group_cummax_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_out, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_labels, int __pyx_v_is_datetimelike); /* 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 int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_float_0_0;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_4;
static PyObject *__pyx_int_184977713;
static PyObject *__pyx_int_neg_1;
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static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_slice__14;
static PyObject *__pyx_slice__15;
static PyObject *__pyx_slice__23;
static PyObject *__pyx_slice__24;
static PyObject *__pyx_slice__31;
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static PyObject *__pyx_slice__38;
static PyObject *__pyx_slice__41;
static PyObject *__pyx_slice__43;
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static PyObject *__pyx_tuple__159;
static PyObject *__pyx_tuple__161;
static PyObject *__pyx_tuple__163;
static PyObject *__pyx_tuple__164;
static PyObject *__pyx_tuple__165;
static PyObject *__pyx_tuple__166;
static PyObject *__pyx_tuple__167;
static PyObject *__pyx_tuple__168;
static PyObject *__pyx_codeobj__86;
static PyObject *__pyx_codeobj__88;
static PyObject *__pyx_codeobj__90;
static PyObject *__pyx_codeobj__92;
static PyObject *__pyx_codeobj__94;
static PyObject *__pyx_codeobj__96;
static PyObject *__pyx_codeobj__98;
static PyObject *__pyx_codeobj__100;
static PyObject *__pyx_codeobj__102;
static PyObject *__pyx_codeobj__104;
static PyObject *__pyx_codeobj__106;
static PyObject *__pyx_codeobj__108;
static PyObject *__pyx_codeobj__110;
static PyObject *__pyx_codeobj__112;
static PyObject *__pyx_codeobj__114;
static PyObject *__pyx_codeobj__116;
static PyObject *__pyx_codeobj__118;
static PyObject *__pyx_codeobj__120;
static PyObject *__pyx_codeobj__122;
static PyObject *__pyx_codeobj__124;
static PyObject *__pyx_codeobj__126;
static PyObject *__pyx_codeobj__128;
static PyObject *__pyx_codeobj__130;
static PyObject *__pyx_codeobj__132;
static PyObject *__pyx_codeobj__134;
static PyObject *__pyx_codeobj__136;
static PyObject *__pyx_codeobj__138;
static PyObject *__pyx_codeobj__140;
static PyObject *__pyx_codeobj__142;
static PyObject *__pyx_codeobj__144;
static PyObject *__pyx_codeobj__146;
static PyObject *__pyx_codeobj__148;
static PyObject *__pyx_codeobj__150;
static PyObject *__pyx_codeobj__152;
static PyObject *__pyx_codeobj__154;
static PyObject *__pyx_codeobj__156;
static PyObject *__pyx_codeobj__158;
static PyObject *__pyx_codeobj__160;
static PyObject *__pyx_codeobj__162;
static PyObject *__pyx_codeobj__169;
/* Late includes */

/* "pandas/_libs/groupby.pyx":29
 * 
 * 
 * cdef inline float64_t median_linear(float64_t* a, int n) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i, j, na_count = 0
 *     cdef float64_t result
 */

static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_7groupby_median_linear(__pyx_t_5numpy_float64_t *__pyx_v_a, int __pyx_v_n) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_na_count;
  __pyx_t_5numpy_float64_t __pyx_v_result;
  __pyx_t_5numpy_float64_t *__pyx_v_tmp;
  __pyx_t_5numpy_float64_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "pandas/_libs/groupby.pyx":30
 * 
 * cdef inline float64_t median_linear(float64_t* a, int n) nogil:
 *     cdef int i, j, na_count = 0             # <<<<<<<<<<<<<<
 *     cdef float64_t result
 *     cdef float64_t* tmp
 */
  __pyx_v_na_count = 0;

  /* "pandas/_libs/groupby.pyx":34
 *     cdef float64_t* tmp
 * 
 *     if n == 0:             # <<<<<<<<<<<<<<
 *         return NaN
 * 
 */
  __pyx_t_1 = ((__pyx_v_n == 0) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/groupby.pyx":35
 * 
 *     if n == 0:
 *         return NaN             # <<<<<<<<<<<<<<
 * 
 *     # count NAs
 */
    __pyx_r = __pyx_v_6pandas_5_libs_7groupby_NaN;
    goto __pyx_L0;

    /* "pandas/_libs/groupby.pyx":34
 *     cdef float64_t* tmp
 * 
 *     if n == 0:             # <<<<<<<<<<<<<<
 *         return NaN
 * 
 */
  }

  /* "pandas/_libs/groupby.pyx":38
 * 
 *     # count NAs
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         if a[i] != a[i]:
 *             na_count += 1
 */
  __pyx_t_2 = __pyx_v_n;
  __pyx_t_3 = __pyx_t_2;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "pandas/_libs/groupby.pyx":39
 *     # count NAs
 *     for i in range(n):
 *         if a[i] != a[i]:             # <<<<<<<<<<<<<<
 *             na_count += 1
 * 
 */
    __pyx_t_1 = (((__pyx_v_a[__pyx_v_i]) != (__pyx_v_a[__pyx_v_i])) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/groupby.pyx":40
 *     for i in range(n):
 *         if a[i] != a[i]:
 *             na_count += 1             # <<<<<<<<<<<<<<
 * 
 *     if na_count:
 */
      __pyx_v_na_count = (__pyx_v_na_count + 1);

      /* "pandas/_libs/groupby.pyx":39
 *     # count NAs
 *     for i in range(n):
 *         if a[i] != a[i]:             # <<<<<<<<<<<<<<
 *             na_count += 1
 * 
 */
    }
  }

  /* "pandas/_libs/groupby.pyx":42
 *             na_count += 1
 * 
 *     if na_count:             # <<<<<<<<<<<<<<
 *         if na_count == n:
 *             return NaN
 */
  __pyx_t_1 = (__pyx_v_na_count != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/groupby.pyx":43
 * 
 *     if na_count:
 *         if na_count == n:             # <<<<<<<<<<<<<<
 *             return NaN
 * 
 */
    __pyx_t_1 = ((__pyx_v_na_count == __pyx_v_n) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/groupby.pyx":44
 *     if na_count:
 *         if na_count == n:
 *             return NaN             # <<<<<<<<<<<<<<
 * 
 *         tmp = <float64_t*> malloc((n - na_count) * sizeof(float64_t))
 */
      __pyx_r = __pyx_v_6pandas_5_libs_7groupby_NaN;
      goto __pyx_L0;

      /* "pandas/_libs/groupby.pyx":43
 * 
 *     if na_count:
 *         if na_count == n:             # <<<<<<<<<<<<<<
 *             return NaN
 * 
 */
    }

    /* "pandas/_libs/groupby.pyx":46
 *             return NaN
 * 
 *         tmp = <float64_t*> malloc((n - na_count) * sizeof(float64_t))             # <<<<<<<<<<<<<<
 * 
 *         j = 0
 */
    __pyx_v_tmp = ((__pyx_t_5numpy_float64_t *)malloc(((__pyx_v_n - __pyx_v_na_count) * (sizeof(__pyx_t_5numpy_float64_t)))));

    /* "pandas/_libs/groupby.pyx":48
 *         tmp = <float64_t*> malloc((n - na_count) * sizeof(float64_t))
 * 
 *         j = 0             # <<<<<<<<<<<<<<
 *         for i in range(n):
 *             if a[i] == a[i]:
 */
    __pyx_v_j = 0;

    /* "pandas/_libs/groupby.pyx":49
 * 
 *         j = 0
 *         for i in range(n):             # <<<<<<<<<<<<<<
 *             if a[i] == a[i]:
 *                 tmp[j] = a[i]
 */
    __pyx_t_2 = __pyx_v_n;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;

      /* "pandas/_libs/groupby.pyx":50
 *         j = 0
 *         for i in range(n):
 *             if a[i] == a[i]:             # <<<<<<<<<<<<<<
 *                 tmp[j] = a[i]
 *                 j += 1
 */
      __pyx_t_1 = (((__pyx_v_a[__pyx_v_i]) == (__pyx_v_a[__pyx_v_i])) != 0);
      if (__pyx_t_1) {

        /* "pandas/_libs/groupby.pyx":51
 *         for i in range(n):
 *             if a[i] == a[i]:
 *                 tmp[j] = a[i]             # <<<<<<<<<<<<<<
 *                 j += 1
 * 
 */
        (__pyx_v_tmp[__pyx_v_j]) = (__pyx_v_a[__pyx_v_i]);

        /* "pandas/_libs/groupby.pyx":52
 *             if a[i] == a[i]:
 *                 tmp[j] = a[i]
 *                 j += 1             # <<<<<<<<<<<<<<
 * 
 *         a = tmp
 */
        __pyx_v_j = (__pyx_v_j + 1);

        /* "pandas/_libs/groupby.pyx":50
 *         j = 0
 *         for i in range(n):
 *             if a[i] == a[i]:             # <<<<<<<<<<<<<<
 *                 tmp[j] = a[i]
 *                 j += 1
 */
      }
    }

    /* "pandas/_libs/groupby.pyx":54
 *                 j += 1
 * 
 *         a = tmp             # <<<<<<<<<<<<<<
 *         n -= na_count
 * 
 */
    __pyx_v_a = __pyx_v_tmp;

    /* "pandas/_libs/groupby.pyx":55
 * 
 *         a = tmp
 *         n -= na_count             # <<<<<<<<<<<<<<
 * 
 *     if n % 2:
 */
    __pyx_v_n = (__pyx_v_n - __pyx_v_na_count);

    /* "pandas/_libs/groupby.pyx":42
 *             na_count += 1
 * 
 *     if na_count:             # <<<<<<<<<<<<<<
 *         if na_count == n:
 *             return NaN
 */
  }

  /* "pandas/_libs/groupby.pyx":57
 *         n -= na_count
 * 
 *     if n % 2:             # <<<<<<<<<<<<<<
 *         result = kth_smallest_c( a, n / 2, n)
 *     else:
 */
  __pyx_t_1 = (__Pyx_mod_long(__pyx_v_n, 2) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/groupby.pyx":58
 * 
 *     if n % 2:
 *         result = kth_smallest_c( a, n / 2, n)             # <<<<<<<<<<<<<<
 *     else:
 *         result = (kth_smallest_c(a, n / 2, n) +
 */
    __pyx_v_result = __pyx_f_6pandas_5_libs_7groupby_kth_smallest_c(__pyx_v_a, __Pyx_div_long(__pyx_v_n, 2), __pyx_v_n);

    /* "pandas/_libs/groupby.pyx":57
 *         n -= na_count
 * 
 *     if n % 2:             # <<<<<<<<<<<<<<
 *         result = kth_smallest_c( a, n / 2, n)
 *     else:
 */
    goto __pyx_L12;
  }

  /* "pandas/_libs/groupby.pyx":61
 *     else:
 *         result = (kth_smallest_c(a, n / 2, n) +
 *                   kth_smallest_c(a, n / 2 - 1, n)) / 2             # <<<<<<<<<<<<<<
 * 
 *     if na_count:
 */
  /*else*/ {

    /* "pandas/_libs/groupby.pyx":60
 *         result = kth_smallest_c( a, n / 2, n)
 *     else:
 *         result = (kth_smallest_c(a, n / 2, n) +             # <<<<<<<<<<<<<<
 *                   kth_smallest_c(a, n / 2 - 1, n)) / 2
 * 
 */
    __pyx_v_result = ((__pyx_f_6pandas_5_libs_7groupby_kth_smallest_c(__pyx_v_a, __Pyx_div_long(__pyx_v_n, 2), __pyx_v_n) + __pyx_f_6pandas_5_libs_7groupby_kth_smallest_c(__pyx_v_a, (__Pyx_div_long(__pyx_v_n, 2) - 1), __pyx_v_n)) / 2.0);
  }
  __pyx_L12:;

  /* "pandas/_libs/groupby.pyx":63
 *                   kth_smallest_c(a, n / 2 - 1, n)) / 2
 * 
 *     if na_count:             # <<<<<<<<<<<<<<
 *         free(a)
 * 
 */
  __pyx_t_1 = (__pyx_v_na_count != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/groupby.pyx":64
 * 
 *     if na_count:
 *         free(a)             # <<<<<<<<<<<<<<
 * 
 *     return result
 */
    free(__pyx_v_a);

    /* "pandas/_libs/groupby.pyx":63
 *                   kth_smallest_c(a, n / 2 - 1, n)) / 2
 * 
 *     if na_count:             # <<<<<<<<<<<<<<
 *         free(a)
 * 
 */
  }

  /* "pandas/_libs/groupby.pyx":66
 *         free(a)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "pandas/_libs/groupby.pyx":29
 * 
 * 
 * cdef inline float64_t median_linear(float64_t* a, int n) nogil:             # <<<<<<<<<<<<<<
 *     cdef int i, j, na_count = 0
 *     cdef float64_t result
 */

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

/* "pandas/_libs/groupby.pyx":69
 * 
 * 
 * cdef inline float64_t kth_smallest_c(float64_t* a,             # <<<<<<<<<<<<<<
 *                                      Py_ssize_t k,
 *                                      Py_ssize_t n) nogil:
 */

static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_7groupby_kth_smallest_c(__pyx_t_5numpy_float64_t *__pyx_v_a, Py_ssize_t __pyx_v_k, Py_ssize_t __pyx_v_n) {
  Py_ssize_t __pyx_v_i;
  Py_ssize_t __pyx_v_j;
  Py_ssize_t __pyx_v_l;
  Py_ssize_t __pyx_v_m;
  __pyx_t_5numpy_double_t __pyx_v_x;
  __pyx_t_5numpy_float64_t __pyx_r;
  int __pyx_t_1;

  /* "pandas/_libs/groupby.pyx":76
 *         double_t x, t
 * 
 *     l = 0             # <<<<<<<<<<<<<<
 *     m = n -1
 *     while (l<m):
 */
  __pyx_v_l = 0;

  /* "pandas/_libs/groupby.pyx":77
 * 
 *     l = 0
 *     m = n -1             # <<<<<<<<<<<<<<
 *     while (l<m):
 *         x = a[k]
 */
  __pyx_v_m = (__pyx_v_n - 1);

  /* "pandas/_libs/groupby.pyx":78
 *     l = 0
 *     m = n -1
 *     while (l<m):             # <<<<<<<<<<<<<<
 *         x = a[k]
 *         i = l
 */
  while (1) {
    __pyx_t_1 = ((__pyx_v_l < __pyx_v_m) != 0);
    if (!__pyx_t_1) break;

    /* "pandas/_libs/groupby.pyx":79
 *     m = n -1
 *     while (l<m):
 *         x = a[k]             # <<<<<<<<<<<<<<
 *         i = l
 *         j = m
 */
    __pyx_v_x = (__pyx_v_a[__pyx_v_k]);

    /* "pandas/_libs/groupby.pyx":80
 *     while (l<m):
 *         x = a[k]
 *         i = l             # <<<<<<<<<<<<<<
 *         j = m
 * 
 */
    __pyx_v_i = __pyx_v_l;

    /* "pandas/_libs/groupby.pyx":81
 *         x = a[k]
 *         i = l
 *         j = m             # <<<<<<<<<<<<<<
 * 
 *         while 1:
 */
    __pyx_v_j = __pyx_v_m;

    /* "pandas/_libs/groupby.pyx":83
 *         j = m
 * 
 *         while 1:             # <<<<<<<<<<<<<<
 *             while a[i] < x: i += 1
 *             while x < a[j]: j -= 1
 */
    while (1) {

      /* "pandas/_libs/groupby.pyx":84
 * 
 *         while 1:
 *             while a[i] < x: i += 1             # <<<<<<<<<<<<<<
 *             while x < a[j]: j -= 1
 *             if i <= j:
 */
      while (1) {
        __pyx_t_1 = (((__pyx_v_a[__pyx_v_i]) < __pyx_v_x) != 0);
        if (!__pyx_t_1) break;
        __pyx_v_i = (__pyx_v_i + 1);
      }

      /* "pandas/_libs/groupby.pyx":85
 *         while 1:
 *             while a[i] < x: i += 1
 *             while x < a[j]: j -= 1             # <<<<<<<<<<<<<<
 *             if i <= j:
 *                 swap(&a[i], &a[j])
 */
      while (1) {
        __pyx_t_1 = ((__pyx_v_x < (__pyx_v_a[__pyx_v_j])) != 0);
        if (!__pyx_t_1) break;
        __pyx_v_j = (__pyx_v_j - 1);
      }

      /* "pandas/_libs/groupby.pyx":86
 *             while a[i] < x: i += 1
 *             while x < a[j]: j -= 1
 *             if i <= j:             # <<<<<<<<<<<<<<
 *                 swap(&a[i], &a[j])
 *                 i += 1; j -= 1
 */
      __pyx_t_1 = ((__pyx_v_i <= __pyx_v_j) != 0);
      if (__pyx_t_1) {

        /* "pandas/_libs/groupby.pyx":87
 *             while x < a[j]: j -= 1
 *             if i <= j:
 *                 swap(&a[i], &a[j])             # <<<<<<<<<<<<<<
 *                 i += 1; j -= 1
 * 
 */
        (void)(__pyx_fuse_9__pyx_f_6pandas_5_libs_5algos_swap((&(__pyx_v_a[__pyx_v_i])), (&(__pyx_v_a[__pyx_v_j]))));

        /* "pandas/_libs/groupby.pyx":88
 *             if i <= j:
 *                 swap(&a[i], &a[j])
 *                 i += 1; j -= 1             # <<<<<<<<<<<<<<
 * 
 *             if i > j: break
 */
        __pyx_v_i = (__pyx_v_i + 1);
        __pyx_v_j = (__pyx_v_j - 1);

        /* "pandas/_libs/groupby.pyx":86
 *             while a[i] < x: i += 1
 *             while x < a[j]: j -= 1
 *             if i <= j:             # <<<<<<<<<<<<<<
 *                 swap(&a[i], &a[j])
 *                 i += 1; j -= 1
 */
      }

      /* "pandas/_libs/groupby.pyx":90
 *                 i += 1; j -= 1
 * 
 *             if i > j: break             # <<<<<<<<<<<<<<
 * 
 *         if j < k: l = i
 */
      __pyx_t_1 = ((__pyx_v_i > __pyx_v_j) != 0);
      if (__pyx_t_1) {
        goto __pyx_L6_break;
      }
    }
    __pyx_L6_break:;

    /* "pandas/_libs/groupby.pyx":92
 *             if i > j: break
 * 
 *         if j < k: l = i             # <<<<<<<<<<<<<<
 *         if k < i: m = j
 *     return a[k]
 */
    __pyx_t_1 = ((__pyx_v_j < __pyx_v_k) != 0);
    if (__pyx_t_1) {
      __pyx_v_l = __pyx_v_i;
    }

    /* "pandas/_libs/groupby.pyx":93
 * 
 *         if j < k: l = i
 *         if k < i: m = j             # <<<<<<<<<<<<<<
 *     return a[k]
 * 
 */
    __pyx_t_1 = ((__pyx_v_k < __pyx_v_i) != 0);
    if (__pyx_t_1) {
      __pyx_v_m = __pyx_v_j;
    }
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  /* "pandas/_libs/groupby.pyx":94
 *         if j < k: l = i
 *         if k < i: m = j
 *     return a[k]             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = (__pyx_v_a[__pyx_v_k]);
  goto __pyx_L0;

  /* "pandas/_libs/groupby.pyx":69
 * 
 * 
 * cdef inline float64_t kth_smallest_c(float64_t* a,             # <<<<<<<<<<<<<<
 *                                      Py_ssize_t k,
 *                                      Py_ssize_t n) nogil:
 */

  /* function exit code */
  __pyx_L0:;
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}

/* "pandas/_libs/groupby.pyx":99
 * @cython.boundscheck(False)
 * @cython.wraparound(False)
 * def group_median_float64(ndarray[float64_t, ndim=2] out,             # <<<<<<<<<<<<<<
 *                          ndarray[int64_t] counts,
 *                          ndarray[float64_t, ndim=2] values,
 */

/* Python wrapper */
static PyObject *__pyx_pw_6pandas_5_libs_7groupby_1group_median_float64(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
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 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:             # <<<<<<<<<<<<<<
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 */
                __pyx_t_4 = (__pyx_v_ascending != 0);
                if (__pyx_t_4) {

                  /* "pandas/_libs/groupby_helper.pxi":720
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 *                             out[_as[j], 0] = j + 1 - grp_start             # <<<<<<<<<<<<<<
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 */
                  __pyx_t_39 = __pyx_v_j;
                  __pyx_t_40 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_39, __pyx_pybuffernd__as.diminfo[0].strides));
                  __pyx_t_41 = 0;
                  *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_40, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_41, __pyx_pybuffernd_out.diminfo[1].strides) = ((__pyx_v_j + 1) - __pyx_v_grp_start);

                  /* "pandas/_libs/groupby_helper.pxi":719
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:             # <<<<<<<<<<<<<<
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 */
                  goto __pyx_L23;
                }

                /* "pandas/_libs/groupby_helper.pxi":722
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start             # <<<<<<<<<<<<<<
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):
 */
                /*else*/ {
                  __pyx_t_42 = __pyx_v_j;
                  __pyx_t_43 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_42, __pyx_pybuffernd__as.diminfo[0].strides));
                  __pyx_t_44 = 0;
                  *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_43, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_44, __pyx_pybuffernd_out.diminfo[1].strides) = (((((2 * __pyx_v_i) - __pyx_v_j) - __pyx_v_dups) + 2) - __pyx_v_grp_start);
                }
                __pyx_L23:;
              }

              /* "pandas/_libs/groupby_helper.pxi":717
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 */
              break;

              /* "pandas/_libs/groupby_helper.pxi":723
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen
 */
              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_DENSE:

              /* "pandas/_libs/groupby_helper.pxi":724
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         out[_as[j], 0] = grp_vals_seen
 * 
 */
              __pyx_t_27 = (__pyx_v_i + 1);
              __pyx_t_28 = __pyx_t_27;
              for (__pyx_t_29 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_29 < __pyx_t_28; __pyx_t_29+=1) {
                __pyx_v_j = __pyx_t_29;

                /* "pandas/_libs/groupby_helper.pxi":725
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen             # <<<<<<<<<<<<<<
 * 
 *             # look forward to the next value (using the sorting in _as)
 */
                __pyx_t_45 = __pyx_v_j;
                __pyx_t_46 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_45, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_47 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_46, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_47, __pyx_pybuffernd_out.diminfo[1].strides) = __pyx_v_grp_vals_seen;
              }

              /* "pandas/_libs/groupby_helper.pxi":723
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen
 */
              break;
              default: break;
            }
          }
          __pyx_L12:;

          /* "pandas/_libs/groupby_helper.pxi":732
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          __pyx_t_21 = ((__pyx_v_i == (__pyx_v_N - 1)) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L27_bool_binop_done;
          }

          /* "pandas/_libs/groupby_helper.pxi":733
 *             # end of iteration
 *             if (i == N - 1 or
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or             # <<<<<<<<<<<<<<
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0
 */
          __pyx_t_48 = __pyx_v_i;
          __pyx_t_49 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_48, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_50 = (__pyx_v_i + 1);
          __pyx_t_51 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_50, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_masked_vals.rcbuffer->pybuffer.buf, __pyx_t_49, __pyx_pybuffernd_masked_vals.diminfo[0].strides)) != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_masked_vals.rcbuffer->pybuffer.buf, __pyx_t_51, __pyx_pybuffernd_masked_vals.diminfo[0].strides))) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L27_bool_binop_done;
          }

          /* "pandas/_libs/groupby_helper.pxi":734
 *             if (i == N - 1 or
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):             # <<<<<<<<<<<<<<
 *                 dups = sum_ranks = 0
 *                 val_start = i
 */
          __pyx_t_52 = __pyx_v_i;
          __pyx_t_53 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_52, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_54 = (__pyx_v_i + 1);
          __pyx_t_55 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_54, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_uint8_t *, __pyx_pybuffernd_mask.rcbuffer->pybuffer.buf, __pyx_t_53, __pyx_pybuffernd_mask.diminfo[0].strides)) ^ (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_uint8_t *, __pyx_pybuffernd_mask.rcbuffer->pybuffer.buf, __pyx_t_55, __pyx_pybuffernd_mask.diminfo[0].strides))) != 0);
          __pyx_t_4 = __pyx_t_21;
          __pyx_L27_bool_binop_done:;

          /* "pandas/_libs/groupby_helper.pxi":732
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          if (__pyx_t_4) {

            /* "pandas/_libs/groupby_helper.pxi":735
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0             # <<<<<<<<<<<<<<
 *                 val_start = i
 *                 grp_vals_seen += 1
 */
            __pyx_v_dups = 0;
            __pyx_v_sum_ranks = 0;

            /* "pandas/_libs/groupby_helper.pxi":736
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0
 *                 val_start = i             # <<<<<<<<<<<<<<
 *                 grp_vals_seen += 1
 *                 grp_tie_count +=1
 */
            __pyx_v_val_start = __pyx_v_i;

            /* "pandas/_libs/groupby_helper.pxi":737
 *                 dups = sum_ranks = 0
 *                 val_start = i
 *                 grp_vals_seen += 1             # <<<<<<<<<<<<<<
 *                 grp_tie_count +=1
 * 
 */
            __pyx_v_grp_vals_seen = (__pyx_v_grp_vals_seen + 1);

            /* "pandas/_libs/groupby_helper.pxi":738
 *                 val_start = i
 *                 grp_vals_seen += 1
 *                 grp_tie_count +=1             # <<<<<<<<<<<<<<
 * 
 *             # Similar to the previous conditional, check now if we are moving
 */
            __pyx_v_grp_tie_count = (__pyx_v_grp_tie_count + 1);

            /* "pandas/_libs/groupby_helper.pxi":732
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          }

          /* "pandas/_libs/groupby_helper.pxi":746
 *             # (used by pct calculations later). also be sure to reset any of
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:             # <<<<<<<<<<<<<<
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):
 */
          __pyx_t_21 = ((__pyx_v_i == (__pyx_v_N - 1)) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L31_bool_binop_done;
          }
          __pyx_t_56 = __pyx_v_i;
          __pyx_t_57 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_56, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_58 = (__pyx_v_i + 1);
          __pyx_t_59 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_58, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_labels.rcbuffer->pybuffer.buf, __pyx_t_57, __pyx_pybuffernd_labels.diminfo[0].strides)) != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_labels.rcbuffer->pybuffer.buf, __pyx_t_59, __pyx_pybuffernd_labels.diminfo[0].strides))) != 0);
          __pyx_t_4 = __pyx_t_21;
          __pyx_L31_bool_binop_done:;
          if (__pyx_t_4) {

            /* "pandas/_libs/groupby_helper.pxi":747
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:
 *                 if tiebreak != TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 */
            __pyx_t_4 = ((__pyx_v_tiebreak != __pyx_e_6pandas_5_libs_5algos_TIEBREAK_DENSE) != 0);
            if (__pyx_t_4) {

              /* "pandas/_libs/groupby_helper.pxi":748
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):             # <<<<<<<<<<<<<<
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 *                 else:
 */
              __pyx_t_27 = (__pyx_v_i + 1);
              __pyx_t_28 = __pyx_t_27;
              for (__pyx_t_29 = __pyx_v_grp_start; __pyx_t_29 < __pyx_t_28; __pyx_t_29+=1) {
                __pyx_v_j = __pyx_t_29;

                /* "pandas/_libs/groupby_helper.pxi":749
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count             # <<<<<<<<<<<<<<
 *                 else:
 *                     for j in range(grp_start, i + 1):
 */
                __pyx_t_60 = __pyx_v_j;
                __pyx_t_61 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_60, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_62 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_grp_sizes.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd_grp_sizes.diminfo[0].strides, __pyx_t_62, __pyx_pybuffernd_grp_sizes.diminfo[1].strides) = (((__pyx_v_i - __pyx_v_grp_start) + 1) - __pyx_v_grp_na_count);
              }

              /* "pandas/_libs/groupby_helper.pxi":747
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:
 *                 if tiebreak != TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 */
              goto __pyx_L33;
            }

            /* "pandas/_libs/groupby_helper.pxi":751
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 *                 else:
 *                     for j in range(grp_start, i + 1):             # <<<<<<<<<<<<<<
 *                         grp_sizes[_as[j], 0] = (grp_tie_count -
 *                                                 (grp_na_count > 0))
 */
            /*else*/ {
              __pyx_t_27 = (__pyx_v_i + 1);
              __pyx_t_28 = __pyx_t_27;
              for (__pyx_t_29 = __pyx_v_grp_start; __pyx_t_29 < __pyx_t_28; __pyx_t_29+=1) {
                __pyx_v_j = __pyx_t_29;

                /* "pandas/_libs/groupby_helper.pxi":752
 *                 else:
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = (grp_tie_count -             # <<<<<<<<<<<<<<
 *                                                 (grp_na_count > 0))
 *                 dups = sum_ranks = 0
 */
                __pyx_t_63 = __pyx_v_j;
                __pyx_t_64 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_63, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_65 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_grp_sizes.rcbuffer->pybuffer.buf, __pyx_t_64, __pyx_pybuffernd_grp_sizes.diminfo[0].strides, __pyx_t_65, __pyx_pybuffernd_grp_sizes.diminfo[1].strides) = (__pyx_v_grp_tie_count - (__pyx_v_grp_na_count > 0));
              }
            }
            __pyx_L33:;

            /* "pandas/_libs/groupby_helper.pxi":754
 *                         grp_sizes[_as[j], 0] = (grp_tie_count -
 *                                                 (grp_na_count > 0))
 *                 dups = sum_ranks = 0             # <<<<<<<<<<<<<<
 *                 grp_na_count = 0
 *                 grp_tie_count = 0
 */
            __pyx_v_dups = 0;
            __pyx_v_sum_ranks = 0;

            /* "pandas/_libs/groupby_helper.pxi":755
 *                                                 (grp_na_count > 0))
 *                 dups = sum_ranks = 0
 *                 grp_na_count = 0             # <<<<<<<<<<<<<<
 *                 grp_tie_count = 0
 *                 grp_start = i + 1
 */
            __pyx_v_grp_na_count = 0;

            /* "pandas/_libs/groupby_helper.pxi":756
 *                 dups = sum_ranks = 0
 *                 grp_na_count = 0
 *                 grp_tie_count = 0             # <<<<<<<<<<<<<<
 *                 grp_start = i + 1
 *                 grp_vals_seen = 1
 */
            __pyx_v_grp_tie_count = 0;

            /* "pandas/_libs/groupby_helper.pxi":757
 *                 grp_na_count = 0
 *                 grp_tie_count = 0
 *                 grp_start = i + 1             # <<<<<<<<<<<<<<
 *                 grp_vals_seen = 1
 * 
 */
            __pyx_v_grp_start = (__pyx_v_i + 1);

            /* "pandas/_libs/groupby_helper.pxi":758
 *                 grp_tie_count = 0
 *                 grp_start = i + 1
 *                 grp_vals_seen = 1             # <<<<<<<<<<<<<<
 * 
 *         if pct:
 */
            __pyx_v_grp_vals_seen = 1;

            /* "pandas/_libs/groupby_helper.pxi":746
 *             # (used by pct calculations later). also be sure to reset any of
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:             # <<<<<<<<<<<<<<
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):
 */
          }
        }

        /* "pandas/_libs/groupby_helper.pxi":760
 *                 grp_vals_seen = 1
 * 
 *         if pct:             # <<<<<<<<<<<<<<
 *             for i in range(N):
 *                 out[i, 0] = out[i, 0] / grp_sizes[i, 0]
 */
        __pyx_t_4 = (__pyx_v_pct != 0);
        if (__pyx_t_4) {

          /* "pandas/_libs/groupby_helper.pxi":761
 * 
 *         if pct:
 *             for i in range(N):             # <<<<<<<<<<<<<<
 *                 out[i, 0] = out[i, 0] / grp_sizes[i, 0]
 * 
 */
          __pyx_t_9 = __pyx_v_N;
          __pyx_t_8 = __pyx_t_9;
          for (__pyx_t_20 = 0; __pyx_t_20 < __pyx_t_8; __pyx_t_20+=1) {
            __pyx_v_i = __pyx_t_20;

            /* "pandas/_libs/groupby_helper.pxi":762
 *         if pct:
 *             for i in range(N):
 *                 out[i, 0] = out[i, 0] / grp_sizes[i, 0]             # <<<<<<<<<<<<<<
 * 
 * 
 */
            __pyx_t_66 = __pyx_v_i;
            __pyx_t_67 = 0;
            __pyx_t_18 = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_66, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_67, __pyx_pybuffernd_out.diminfo[1].strides));
            __pyx_t_68 = __pyx_v_i;
            __pyx_t_69 = 0;
            __pyx_t_70 = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_grp_sizes.rcbuffer->pybuffer.buf, __pyx_t_68, __pyx_pybuffernd_grp_sizes.diminfo[0].strides, __pyx_t_69, __pyx_pybuffernd_grp_sizes.diminfo[1].strides));
            if (unlikely(__pyx_t_70 == 0)) {
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              PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
              #endif
              PyErr_SetString(PyExc_ZeroDivisionError, "float division");
              #ifdef WITH_THREAD
              __Pyx_PyGILState_Release(__pyx_gilstate_save);
              #endif
              __PYX_ERR(1, 762, __pyx_L8_error)
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            __pyx_t_71 = __pyx_v_i;
            __pyx_t_72 = 0;
            *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_71, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_72, __pyx_pybuffernd_out.diminfo[1].strides) = (__pyx_t_18 / __pyx_t_70);
          }

          /* "pandas/_libs/groupby_helper.pxi":760
 *                 grp_vals_seen = 1
 * 
 *         if pct:             # <<<<<<<<<<<<<<
 *             for i in range(N):
 *                 out[i, 0] = out[i, 0] / grp_sizes[i, 0]
 */
        }
      }

      /* "pandas/_libs/groupby_helper.pxi":675
 *         _as = _as[::-1]
 * 
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 *                 elif tiebreak == TIEBREAK_MAX:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 */
              break;

              /* "pandas/_libs/groupby_helper.pxi":982
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 */
              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_FIRST:

              /* "pandas/_libs/groupby_helper.pxi":983
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         if ascending:
 *                             out[_as[j], 0] = j + 1 - grp_start
 */
              __pyx_t_27 = (__pyx_v_i + 1);
              __pyx_t_28 = __pyx_t_27;
              for (__pyx_t_29 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_29 < __pyx_t_28; __pyx_t_29+=1) {
                __pyx_v_j = __pyx_t_29;

                /* "pandas/_libs/groupby_helper.pxi":984
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:             # <<<<<<<<<<<<<<
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 */
                __pyx_t_4 = (__pyx_v_ascending != 0);
                if (__pyx_t_4) {

                  /* "pandas/_libs/groupby_helper.pxi":985
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 *                             out[_as[j], 0] = j + 1 - grp_start             # <<<<<<<<<<<<<<
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 */
                  __pyx_t_39 = __pyx_v_j;
                  __pyx_t_40 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_39, __pyx_pybuffernd__as.diminfo[0].strides));
                  __pyx_t_41 = 0;
                  *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_40, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_41, __pyx_pybuffernd_out.diminfo[1].strides) = ((__pyx_v_j + 1) - __pyx_v_grp_start);

                  /* "pandas/_libs/groupby_helper.pxi":984
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:             # <<<<<<<<<<<<<<
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 */
                  goto __pyx_L23;
                }

                /* "pandas/_libs/groupby_helper.pxi":987
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start             # <<<<<<<<<<<<<<
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):
 */
                /*else*/ {
                  __pyx_t_42 = __pyx_v_j;
                  __pyx_t_43 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_42, __pyx_pybuffernd__as.diminfo[0].strides));
                  __pyx_t_44 = 0;
                  *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_43, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_44, __pyx_pybuffernd_out.diminfo[1].strides) = (((((2 * __pyx_v_i) - __pyx_v_j) - __pyx_v_dups) + 2) - __pyx_v_grp_start);
                }
                __pyx_L23:;
              }

              /* "pandas/_libs/groupby_helper.pxi":982
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 */
              break;

              /* "pandas/_libs/groupby_helper.pxi":988
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen
 */
              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_DENSE:

              /* "pandas/_libs/groupby_helper.pxi":989
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         out[_as[j], 0] = grp_vals_seen
 * 
 */
              __pyx_t_27 = (__pyx_v_i + 1);
              __pyx_t_28 = __pyx_t_27;
              for (__pyx_t_29 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_29 < __pyx_t_28; __pyx_t_29+=1) {
                __pyx_v_j = __pyx_t_29;

                /* "pandas/_libs/groupby_helper.pxi":990
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen             # <<<<<<<<<<<<<<
 * 
 *             # look forward to the next value (using the sorting in _as)
 */
                __pyx_t_45 = __pyx_v_j;
                __pyx_t_46 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_45, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_47 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_46, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_47, __pyx_pybuffernd_out.diminfo[1].strides) = __pyx_v_grp_vals_seen;
              }

              /* "pandas/_libs/groupby_helper.pxi":988
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen
 */
              break;
              default: break;
            }
          }
          __pyx_L12:;

          /* "pandas/_libs/groupby_helper.pxi":997
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          __pyx_t_21 = ((__pyx_v_i == (__pyx_v_N - 1)) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L27_bool_binop_done;
          }

          /* "pandas/_libs/groupby_helper.pxi":998
 *             # end of iteration
 *             if (i == N - 1 or
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or             # <<<<<<<<<<<<<<
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0
 */
          __pyx_t_48 = __pyx_v_i;
          __pyx_t_49 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_48, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_50 = (__pyx_v_i + 1);
          __pyx_t_51 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_50, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float32_t *, __pyx_pybuffernd_masked_vals.rcbuffer->pybuffer.buf, __pyx_t_49, __pyx_pybuffernd_masked_vals.diminfo[0].strides)) != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float32_t *, __pyx_pybuffernd_masked_vals.rcbuffer->pybuffer.buf, __pyx_t_51, __pyx_pybuffernd_masked_vals.diminfo[0].strides))) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L27_bool_binop_done;
          }

          /* "pandas/_libs/groupby_helper.pxi":999
 *             if (i == N - 1 or
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):             # <<<<<<<<<<<<<<
 *                 dups = sum_ranks = 0
 *                 val_start = i
 */
          __pyx_t_52 = __pyx_v_i;
          __pyx_t_53 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_52, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_54 = (__pyx_v_i + 1);
          __pyx_t_55 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_54, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_uint8_t *, __pyx_pybuffernd_mask.rcbuffer->pybuffer.buf, __pyx_t_53, __pyx_pybuffernd_mask.diminfo[0].strides)) ^ (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_uint8_t *, __pyx_pybuffernd_mask.rcbuffer->pybuffer.buf, __pyx_t_55, __pyx_pybuffernd_mask.diminfo[0].strides))) != 0);
          __pyx_t_4 = __pyx_t_21;
          __pyx_L27_bool_binop_done:;

          /* "pandas/_libs/groupby_helper.pxi":997
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          if (__pyx_t_4) {

            /* "pandas/_libs/groupby_helper.pxi":1000
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0             # <<<<<<<<<<<<<<
 *                 val_start = i
 *                 grp_vals_seen += 1
 */
            __pyx_v_dups = 0;
            __pyx_v_sum_ranks = 0;

            /* "pandas/_libs/groupby_helper.pxi":1001
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0
 *                 val_start = i             # <<<<<<<<<<<<<<
 *                 grp_vals_seen += 1
 *                 grp_tie_count +=1
 */
            __pyx_v_val_start = __pyx_v_i;

            /* "pandas/_libs/groupby_helper.pxi":1002
 *                 dups = sum_ranks = 0
 *                 val_start = i
 *                 grp_vals_seen += 1             # <<<<<<<<<<<<<<
 *                 grp_tie_count +=1
 * 
 */
            __pyx_v_grp_vals_seen = (__pyx_v_grp_vals_seen + 1);

            /* "pandas/_libs/groupby_helper.pxi":1003
 *                 val_start = i
 *                 grp_vals_seen += 1
 *                 grp_tie_count +=1             # <<<<<<<<<<<<<<
 * 
 *             # Similar to the previous conditional, check now if we are moving
 */
            __pyx_v_grp_tie_count = (__pyx_v_grp_tie_count + 1);

            /* "pandas/_libs/groupby_helper.pxi":997
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          }

          /* "pandas/_libs/groupby_helper.pxi":1011
 *             # (used by pct calculations later). also be sure to reset any of
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:             # <<<<<<<<<<<<<<
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):
 */
          __pyx_t_21 = ((__pyx_v_i == (__pyx_v_N - 1)) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L31_bool_binop_done;
          }
          __pyx_t_56 = __pyx_v_i;
          __pyx_t_57 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_56, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_58 = (__pyx_v_i + 1);
          __pyx_t_59 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_58, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_labels.rcbuffer->pybuffer.buf, __pyx_t_57, __pyx_pybuffernd_labels.diminfo[0].strides)) != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_labels.rcbuffer->pybuffer.buf, __pyx_t_59, __pyx_pybuffernd_labels.diminfo[0].strides))) != 0);
          __pyx_t_4 = __pyx_t_21;
          __pyx_L31_bool_binop_done:;
          if (__pyx_t_4) {

            /* "pandas/_libs/groupby_helper.pxi":1012
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:
 *                 if tiebreak != TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 */
            __pyx_t_4 = ((__pyx_v_tiebreak != __pyx_e_6pandas_5_libs_5algos_TIEBREAK_DENSE) != 0);
            if (__pyx_t_4) {

              /* "pandas/_libs/groupby_helper.pxi":1013
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):             # <<<<<<<<<<<<<<
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 *                 else:
 */
              __pyx_t_27 = (__pyx_v_i + 1);
              __pyx_t_28 = __pyx_t_27;
              for (__pyx_t_29 = __pyx_v_grp_start; __pyx_t_29 < __pyx_t_28; __pyx_t_29+=1) {
                __pyx_v_j = __pyx_t_29;

                /* "pandas/_libs/groupby_helper.pxi":1014
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count             # <<<<<<<<<<<<<<
 *                 else:
 *                     for j in range(grp_start, i + 1):
 */
                __pyx_t_60 = __pyx_v_j;
                __pyx_t_61 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_60, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_62 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_grp_sizes.rcbuffer->pybuffer.buf, __pyx_t_61, __pyx_pybuffernd_grp_sizes.diminfo[0].strides, __pyx_t_62, __pyx_pybuffernd_grp_sizes.diminfo[1].strides) = (((__pyx_v_i - __pyx_v_grp_start) + 1) - __pyx_v_grp_na_count);
              }

              /* "pandas/_libs/groupby_helper.pxi":1012
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:
 *                 if tiebreak != TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 */
              goto __pyx_L33;
            }

            /* "pandas/_libs/groupby_helper.pxi":1016
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 *                 else:
 *                     for j in range(grp_start, i + 1):             # <<<<<<<<<<<<<<
 *                         grp_sizes[_as[j], 0] = (grp_tie_count -
 *                                                 (grp_na_count > 0))
 */
            /*else*/ {
              __pyx_t_27 = (__pyx_v_i + 1);
              __pyx_t_28 = __pyx_t_27;
              for (__pyx_t_29 = __pyx_v_grp_start; __pyx_t_29 < __pyx_t_28; __pyx_t_29+=1) {
                __pyx_v_j = __pyx_t_29;

                /* "pandas/_libs/groupby_helper.pxi":1017
 *                 else:
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = (grp_tie_count -             # <<<<<<<<<<<<<<
 *                                                 (grp_na_count > 0))
 *                 dups = sum_ranks = 0
 */
                __pyx_t_63 = __pyx_v_j;
                __pyx_t_64 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_63, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_65 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_grp_sizes.rcbuffer->pybuffer.buf, __pyx_t_64, __pyx_pybuffernd_grp_sizes.diminfo[0].strides, __pyx_t_65, __pyx_pybuffernd_grp_sizes.diminfo[1].strides) = (__pyx_v_grp_tie_count - (__pyx_v_grp_na_count > 0));
              }
            }
            __pyx_L33:;

            /* "pandas/_libs/groupby_helper.pxi":1019
 *                         grp_sizes[_as[j], 0] = (grp_tie_count -
 *                                                 (grp_na_count > 0))
 *                 dups = sum_ranks = 0             # <<<<<<<<<<<<<<
 *                 grp_na_count = 0
 *                 grp_tie_count = 0
 */
            __pyx_v_dups = 0;
            __pyx_v_sum_ranks = 0;

            /* "pandas/_libs/groupby_helper.pxi":1020
 *                                                 (grp_na_count > 0))
 *                 dups = sum_ranks = 0
 *                 grp_na_count = 0             # <<<<<<<<<<<<<<
 *                 grp_tie_count = 0
 *                 grp_start = i + 1
 */
            __pyx_v_grp_na_count = 0;

            /* "pandas/_libs/groupby_helper.pxi":1021
 *                 dups = sum_ranks = 0
 *                 grp_na_count = 0
 *                 grp_tie_count = 0             # <<<<<<<<<<<<<<
 *                 grp_start = i + 1
 *                 grp_vals_seen = 1
 */
            __pyx_v_grp_tie_count = 0;

            /* "pandas/_libs/groupby_helper.pxi":1022
 *                 grp_na_count = 0
 *                 grp_tie_count = 0
 *                 grp_start = i + 1             # <<<<<<<<<<<<<<
 *                 grp_vals_seen = 1
 * 
 */
            __pyx_v_grp_start = (__pyx_v_i + 1);

            /* "pandas/_libs/groupby_helper.pxi":1023
 *                 grp_tie_count = 0
 *                 grp_start = i + 1
 *                 grp_vals_seen = 1             # <<<<<<<<<<<<<<
 * 
 *         if pct:
 */
            __pyx_v_grp_vals_seen = 1;

            /* "pandas/_libs/groupby_helper.pxi":1011
 *             # (used by pct calculations later). also be sure to reset any of
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:             # <<<<<<<<<<<<<<
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):
 */
          }
        }

        /* "pandas/_libs/groupby_helper.pxi":1025
 *                 grp_vals_seen = 1
 * 
 *         if pct:             # <<<<<<<<<<<<<<
 *             for i in range(N):
 *                 out[i, 0] = out[i, 0] / grp_sizes[i, 0]
 */
        __pyx_t_4 = (__pyx_v_pct != 0);
        if (__pyx_t_4) {

          /* "pandas/_libs/groupby_helper.pxi":1026
 * 
 *         if pct:
 *             for i in range(N):             # <<<<<<<<<<<<<<
 *                 out[i, 0] = out[i, 0] / grp_sizes[i, 0]
 * 
 */
          __pyx_t_9 = __pyx_v_N;
          __pyx_t_8 = __pyx_t_9;
          for (__pyx_t_20 = 0; __pyx_t_20 < __pyx_t_8; __pyx_t_20+=1) {
            __pyx_v_i = __pyx_t_20;

            /* "pandas/_libs/groupby_helper.pxi":1027
 *         if pct:
 *             for i in range(N):
 *                 out[i, 0] = out[i, 0] / grp_sizes[i, 0]             # <<<<<<<<<<<<<<
 * 
 * 
 */
            __pyx_t_66 = __pyx_v_i;
            __pyx_t_67 = 0;
            __pyx_t_68 = (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_66, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_67, __pyx_pybuffernd_out.diminfo[1].strides));
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              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_AVERAGE:

              /* "pandas/_libs/groupby_helper.pxi":1239
 *                 # result once the last duplicate value is encountered
 *                 if tiebreak == TIEBREAK_AVERAGE:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         out[_as[j], 0] = sum_ranks / <float64_t>dups
 *                 elif tiebreak == TIEBREAK_MIN:
 */
              __pyx_t_26 = (__pyx_v_i + 1);
              __pyx_t_27 = __pyx_t_26;
              for (__pyx_t_28 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_28 < __pyx_t_27; __pyx_t_28+=1) {
                __pyx_v_j = __pyx_t_28;

                /* "pandas/_libs/groupby_helper.pxi":1240
 *                 if tiebreak == TIEBREAK_AVERAGE:
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = sum_ranks / <float64_t>dups             # <<<<<<<<<<<<<<
 *                 elif tiebreak == TIEBREAK_MIN:
 *                     for j in range(i - dups + 1, i + 1):
 */
                if (unlikely(((__pyx_t_5numpy_float64_t)__pyx_v_dups) == 0)) {
                  #ifdef WITH_THREAD
                  PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
                  #endif
                  PyErr_SetString(PyExc_ZeroDivisionError, "float division");
                  #ifdef WITH_THREAD
                  __Pyx_PyGILState_Release(__pyx_gilstate_save);
                  #endif
                  __PYX_ERR(1, 1240, __pyx_L8_error)
                }
                __pyx_t_29 = __pyx_v_j;
                __pyx_t_30 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_29, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_31 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_30, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_31, __pyx_pybuffernd_out.diminfo[1].strides) = (__pyx_v_sum_ranks / ((__pyx_t_5numpy_float64_t)__pyx_v_dups));
              }

              /* "pandas/_libs/groupby_helper.pxi":1238
 *                 # could potentially be optimized to only write to the
 *                 # result once the last duplicate value is encountered
 *                 if tiebreak == TIEBREAK_AVERAGE:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = sum_ranks / <float64_t>dups
 */
              break;

              /* "pandas/_libs/groupby_helper.pxi":1241
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = sum_ranks / <float64_t>dups
 *                 elif tiebreak == TIEBREAK_MIN:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start - dups + 2
 */
              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_MIN:

              /* "pandas/_libs/groupby_helper.pxi":1242
 *                         out[_as[j], 0] = sum_ranks / <float64_t>dups
 *                 elif tiebreak == TIEBREAK_MIN:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         out[_as[j], 0] = i - grp_start - dups + 2
 *                 elif tiebreak == TIEBREAK_MAX:
 */
              __pyx_t_26 = (__pyx_v_i + 1);
              __pyx_t_27 = __pyx_t_26;
              for (__pyx_t_28 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_28 < __pyx_t_27; __pyx_t_28+=1) {
                __pyx_v_j = __pyx_t_28;

                /* "pandas/_libs/groupby_helper.pxi":1243
 *                 elif tiebreak == TIEBREAK_MIN:
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start - dups + 2             # <<<<<<<<<<<<<<
 *                 elif tiebreak == TIEBREAK_MAX:
 *                     for j in range(i - dups + 1, i + 1):
 */
                __pyx_t_32 = __pyx_v_j;
                __pyx_t_33 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_32, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_34 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_33, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_34, __pyx_pybuffernd_out.diminfo[1].strides) = (((__pyx_v_i - __pyx_v_grp_start) - __pyx_v_dups) + 2);
              }

              /* "pandas/_libs/groupby_helper.pxi":1241
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = sum_ranks / <float64_t>dups
 *                 elif tiebreak == TIEBREAK_MIN:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start - dups + 2
 */
              break;

              /* "pandas/_libs/groupby_helper.pxi":1244
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start - dups + 2
 *                 elif tiebreak == TIEBREAK_MAX:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 */
              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_MAX:

              /* "pandas/_libs/groupby_helper.pxi":1245
 *                         out[_as[j], 0] = i - grp_start - dups + 2
 *                 elif tiebreak == TIEBREAK_MAX:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:
 */
              __pyx_t_26 = (__pyx_v_i + 1);
              __pyx_t_27 = __pyx_t_26;
              for (__pyx_t_28 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_28 < __pyx_t_27; __pyx_t_28+=1) {
                __pyx_v_j = __pyx_t_28;

                /* "pandas/_libs/groupby_helper.pxi":1246
 *                 elif tiebreak == TIEBREAK_MAX:
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1             # <<<<<<<<<<<<<<
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):
 */
                __pyx_t_35 = __pyx_v_j;
                __pyx_t_36 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_35, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_37 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_36, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_37, __pyx_pybuffernd_out.diminfo[1].strides) = ((__pyx_v_i - __pyx_v_grp_start) + 1);
              }

              /* "pandas/_libs/groupby_helper.pxi":1244
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start - dups + 2
 *                 elif tiebreak == TIEBREAK_MAX:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 */
              break;

              /* "pandas/_libs/groupby_helper.pxi":1247
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 */
              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_FIRST:

              /* "pandas/_libs/groupby_helper.pxi":1248
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         if ascending:
 *                             out[_as[j], 0] = j + 1 - grp_start
 */
              __pyx_t_26 = (__pyx_v_i + 1);
              __pyx_t_27 = __pyx_t_26;
              for (__pyx_t_28 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_28 < __pyx_t_27; __pyx_t_28+=1) {
                __pyx_v_j = __pyx_t_28;

                /* "pandas/_libs/groupby_helper.pxi":1249
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:             # <<<<<<<<<<<<<<
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 */
                __pyx_t_4 = (__pyx_v_ascending != 0);
                if (__pyx_t_4) {

                  /* "pandas/_libs/groupby_helper.pxi":1250
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 *                             out[_as[j], 0] = j + 1 - grp_start             # <<<<<<<<<<<<<<
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 */
                  __pyx_t_38 = __pyx_v_j;
                  __pyx_t_39 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_38, __pyx_pybuffernd__as.diminfo[0].strides));
                  __pyx_t_40 = 0;
                  *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_39, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_40, __pyx_pybuffernd_out.diminfo[1].strides) = ((__pyx_v_j + 1) - __pyx_v_grp_start);

                  /* "pandas/_libs/groupby_helper.pxi":1249
 *                 elif tiebreak == TIEBREAK_FIRST:
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:             # <<<<<<<<<<<<<<
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 */
                  goto __pyx_L23;
                }

                /* "pandas/_libs/groupby_helper.pxi":1252
 *                             out[_as[j], 0] = j + 1 - grp_start
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start             # <<<<<<<<<<<<<<
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):
 */
                /*else*/ {
                  __pyx_t_41 = __pyx_v_j;
                  __pyx_t_42 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_41, __pyx_pybuffernd__as.diminfo[0].strides));
                  __pyx_t_43 = 0;
                  *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_42, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_43, __pyx_pybuffernd_out.diminfo[1].strides) = (((((2 * __pyx_v_i) - __pyx_v_j) - __pyx_v_dups) + 2) - __pyx_v_grp_start);
                }
                __pyx_L23:;
              }

              /* "pandas/_libs/groupby_helper.pxi":1247
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = i - grp_start + 1
 *                 elif tiebreak == TIEBREAK_FIRST:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         if ascending:
 */
              break;

              /* "pandas/_libs/groupby_helper.pxi":1253
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen
 */
              case __pyx_e_6pandas_5_libs_5algos_TIEBREAK_DENSE:

              /* "pandas/_libs/groupby_helper.pxi":1254
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):             # <<<<<<<<<<<<<<
 *                         out[_as[j], 0] = grp_vals_seen
 * 
 */
              __pyx_t_26 = (__pyx_v_i + 1);
              __pyx_t_27 = __pyx_t_26;
              for (__pyx_t_28 = ((__pyx_v_i - __pyx_v_dups) + 1); __pyx_t_28 < __pyx_t_27; __pyx_t_28+=1) {
                __pyx_v_j = __pyx_t_28;

                /* "pandas/_libs/groupby_helper.pxi":1255
 *                 elif tiebreak == TIEBREAK_DENSE:
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen             # <<<<<<<<<<<<<<
 * 
 *             # look forward to the next value (using the sorting in _as)
 */
                __pyx_t_44 = __pyx_v_j;
                __pyx_t_45 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_44, __pyx_pybuffernd__as.diminfo[0].strides));
                __pyx_t_46 = 0;
                *__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_45, __pyx_pybuffernd_out.diminfo[0].strides, __pyx_t_46, __pyx_pybuffernd_out.diminfo[1].strides) = __pyx_v_grp_vals_seen;
              }

              /* "pandas/_libs/groupby_helper.pxi":1253
 *                         else:
 *                             out[_as[j], 0] = 2 * i - j - dups + 2 - grp_start
 *                 elif tiebreak == TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(i - dups + 1, i + 1):
 *                         out[_as[j], 0] = grp_vals_seen
 */
              break;
              default: break;
            }
          }
          __pyx_L12:;

          /* "pandas/_libs/groupby_helper.pxi":1262
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          __pyx_t_21 = ((__pyx_v_i == (__pyx_v_N - 1)) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L27_bool_binop_done;
          }

          /* "pandas/_libs/groupby_helper.pxi":1263
 *             # end of iteration
 *             if (i == N - 1 or
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or             # <<<<<<<<<<<<<<
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0
 */
          __pyx_t_47 = __pyx_v_i;
          __pyx_t_48 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_47, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_49 = (__pyx_v_i + 1);
          __pyx_t_50 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_49, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_masked_vals.rcbuffer->pybuffer.buf, __pyx_t_48, __pyx_pybuffernd_masked_vals.diminfo[0].strides)) != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_masked_vals.rcbuffer->pybuffer.buf, __pyx_t_50, __pyx_pybuffernd_masked_vals.diminfo[0].strides))) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L27_bool_binop_done;
          }

          /* "pandas/_libs/groupby_helper.pxi":1264
 *             if (i == N - 1 or
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):             # <<<<<<<<<<<<<<
 *                 dups = sum_ranks = 0
 *                 val_start = i
 */
          __pyx_t_51 = __pyx_v_i;
          __pyx_t_52 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_51, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_53 = (__pyx_v_i + 1);
          __pyx_t_54 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_53, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_uint8_t *, __pyx_pybuffernd_mask.rcbuffer->pybuffer.buf, __pyx_t_52, __pyx_pybuffernd_mask.diminfo[0].strides)) ^ (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_uint8_t *, __pyx_pybuffernd_mask.rcbuffer->pybuffer.buf, __pyx_t_54, __pyx_pybuffernd_mask.diminfo[0].strides))) != 0);
          __pyx_t_4 = __pyx_t_21;
          __pyx_L27_bool_binop_done:;

          /* "pandas/_libs/groupby_helper.pxi":1262
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          if (__pyx_t_4) {

            /* "pandas/_libs/groupby_helper.pxi":1265
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0             # <<<<<<<<<<<<<<
 *                 val_start = i
 *                 grp_vals_seen += 1
 */
            __pyx_v_dups = 0;
            __pyx_v_sum_ranks = 0;

            /* "pandas/_libs/groupby_helper.pxi":1266
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 *                 dups = sum_ranks = 0
 *                 val_start = i             # <<<<<<<<<<<<<<
 *                 grp_vals_seen += 1
 *                 grp_tie_count +=1
 */
            __pyx_v_val_start = __pyx_v_i;

            /* "pandas/_libs/groupby_helper.pxi":1267
 *                 dups = sum_ranks = 0
 *                 val_start = i
 *                 grp_vals_seen += 1             # <<<<<<<<<<<<<<
 *                 grp_tie_count +=1
 * 
 */
            __pyx_v_grp_vals_seen = (__pyx_v_grp_vals_seen + 1);

            /* "pandas/_libs/groupby_helper.pxi":1268
 *                 val_start = i
 *                 grp_vals_seen += 1
 *                 grp_tie_count +=1             # <<<<<<<<<<<<<<
 * 
 *             # Similar to the previous conditional, check now if we are moving
 */
            __pyx_v_grp_tie_count = (__pyx_v_grp_tie_count + 1);

            /* "pandas/_libs/groupby_helper.pxi":1262
 *             # up. the conditional also needs to handle nan equality and the
 *             # end of iteration
 *             if (i == N - 1 or             # <<<<<<<<<<<<<<
 *                     (masked_vals[_as[i]] != masked_vals[_as[i+1]]) or
 *                     (mask[_as[i]] ^ mask[_as[i+1]])):
 */
          }

          /* "pandas/_libs/groupby_helper.pxi":1276
 *             # (used by pct calculations later). also be sure to reset any of
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:             # <<<<<<<<<<<<<<
 *                 if tiebreak != TIEBREAK_DENSE:
 *                     for j in range(grp_start, i + 1):
 */
          __pyx_t_21 = ((__pyx_v_i == (__pyx_v_N - 1)) != 0);
          if (!__pyx_t_21) {
          } else {
            __pyx_t_4 = __pyx_t_21;
            goto __pyx_L31_bool_binop_done;
          }
          __pyx_t_55 = __pyx_v_i;
          __pyx_t_56 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_55, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_57 = (__pyx_v_i + 1);
          __pyx_t_58 = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd__as.rcbuffer->pybuffer.buf, __pyx_t_57, __pyx_pybuffernd__as.diminfo[0].strides));
          __pyx_t_21 = (((*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_labels.rcbuffer->pybuffer.buf, __pyx_t_56, __pyx_pybuffernd_labels.diminfo[0].strides)) != (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int64_t *, __pyx_pybuffernd_labels.rcbuffer->pybuffer.buf, __pyx_t_58, __pyx_pybuffernd_labels.diminfo[0].strides))) != 0);
          __pyx_t_4 = __pyx_t_21;
          __pyx_L31_bool_binop_done:;
          if (__pyx_t_4) {

            /* "pandas/_libs/groupby_helper.pxi":1277
 *             # the items helping to calculate dups
 *             if i == N - 1 or labels[_as[i]] != labels[_as[i+1]]:
 *                 if tiebreak != TIEBREAK_DENSE:             # <<<<<<<<<<<<<<
 *                     for j in range(grp_start, i + 1):
 *                         grp_sizes[_as[j], 0] = i - grp_start + 1 - grp_na_count
 */
            __pyx_t_4 = ((__pyx_v_tiebreak != __pyx_e_6pandas_5_libs_5algos_TIEBREAK_DENSE) != 0);
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              /* "pandas/_libs/groupby_helper.pxi":1278
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  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "View.MemoryView":802
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')
 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
  Py_ssize_t __pyx_v_new_shape;
  int __pyx_v_negative_step;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "View.MemoryView":822
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
  __pyx_t_1 = ((!(__pyx_v_is_slice != 0)) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":824
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    __pyx_t_1 = ((__pyx_v_start < 0) != 0);
    if (__pyx_t_1) {

      /* "View.MemoryView":825
 * 
 *         if start < 0:
 *             start += shape             # <<<<<<<<<<<<<<
 *         if not 0 <= start < shape:
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 */
      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

      /* "View.MemoryView":824
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    }

    /* "View.MemoryView":826
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    __pyx_t_1 = (0 <= __pyx_v_start);
    if (__pyx_t_1) {
      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
    }
    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":827
 *             start += shape
 *         if not 0 <= start < shape:
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
 *     else:
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(4, 827, __pyx_L1_error)

      /* "View.MemoryView":826
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    }

    /* "View.MemoryView":822
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":830
 *     else:
 * 
 *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
 * 
 *         if have_step and step == 0:
 */
  /*else*/ {
    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L6_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L6_bool_binop_done:;
    __pyx_v_negative_step = __pyx_t_2;

    /* "View.MemoryView":832
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    __pyx_t_1 = (__pyx_v_have_step != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L9_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L9_bool_binop_done:;
    if (__pyx_t_2) {

      /* "View.MemoryView":833
 * 
 *         if have_step and step == 0:
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(4, 833, __pyx_L1_error)

      /* "View.MemoryView":832
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    }

    /* "View.MemoryView":836
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":837
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":838
 *         if have_start:
 *             if start < 0:
 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
 */
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

        /* "View.MemoryView":839
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":840
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
 */
          __pyx_v_start = 0;

          /* "View.MemoryView":839
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        }

        /* "View.MemoryView":837
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L12;
      }

      /* "View.MemoryView":841
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":842
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
        __pyx_t_2 = (__pyx_v_negative_step != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":843
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
 */
          __pyx_v_start = (__pyx_v_shape - 1);

          /* "View.MemoryView":842
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
          goto __pyx_L14;
        }

        /* "View.MemoryView":845
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L14:;

        /* "View.MemoryView":841
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      }
      __pyx_L12:;

      /* "View.MemoryView":836
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
      goto __pyx_L11;
    }

    /* "View.MemoryView":847
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":848
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
 */
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":847
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
        goto __pyx_L15;
      }

      /* "View.MemoryView":850
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
 */
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L15:;
    }
    __pyx_L11:;

    /* "View.MemoryView":852
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":853
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":854
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
 */
        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":855
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":856
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
 */
          __pyx_v_stop = 0;

          /* "View.MemoryView":855
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":853
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
        goto __pyx_L17;
      }

      /* "View.MemoryView":857
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":858
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":857
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      }
      __pyx_L17:;

      /* "View.MemoryView":852
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
      goto __pyx_L16;
    }

    /* "View.MemoryView":860
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":861
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
 */
        __pyx_v_stop = -1L;

        /* "View.MemoryView":860
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
        goto __pyx_L19;
      }

      /* "View.MemoryView":863
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 *         if not have_step:
 */
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L19:;
    }
    __pyx_L16:;

    /* "View.MemoryView":865
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":866
 * 
 *         if not have_step:
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_step = 1;

      /* "View.MemoryView":865
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    }

    /* "View.MemoryView":870
 * 
 *         with cython.cdivision(True):
 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
 * 
 *             if (stop - start) - step * new_shape:
 */
    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);

    /* "View.MemoryView":872
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":873
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
 */
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":872
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    }

    /* "View.MemoryView":875
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":876
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":875
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    }

    /* "View.MemoryView":879
 * 
 * 
 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset
 */
    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);

    /* "View.MemoryView":880
 * 
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
 *         dst.suboffsets[new_ndim] = suboffset
 * 
 */
    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;

    /* "View.MemoryView":881
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
 * 
 * 
 */
    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
  }
  __pyx_L3:;

  /* "View.MemoryView":884
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":885
 * 
 *     if suboffset_dim[0] < 0:
 *         dst.data += start * stride             # <<<<<<<<<<<<<<
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 */
    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));

    /* "View.MemoryView":884
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
    goto __pyx_L23;
  }

  /* "View.MemoryView":887
 *         dst.data += start * stride
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
 * 
 *     if suboffset >= 0:
 */
  /*else*/ {
    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
  }
  __pyx_L23:;

  /* "View.MemoryView":889
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":890
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":891
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":892
 *         if not is_slice:
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 */
        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);

        /* "View.MemoryView":891
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
        goto __pyx_L26;
      }

      /* "View.MemoryView":894
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
 *                                      "must be indexed and not sliced", dim)
 *         else:
 */
      /*else*/ {

        /* "View.MemoryView":895
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
 *         else:
 *             suboffset_dim[0] = new_ndim
 */
        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(4, 894, __pyx_L1_error)
      }
      __pyx_L26:;

      /* "View.MemoryView":890
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
      goto __pyx_L25;
    }

    /* "View.MemoryView":897
 *                                      "must be indexed and not sliced", dim)
 *         else:
 *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    /*else*/ {
      (__pyx_v_suboffset_dim[0]) = __pyx_v_new_ndim;
    }
    __pyx_L25:;

    /* "View.MemoryView":889
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  }

  /* "View.MemoryView":899
 *             suboffset_dim[0] = new_ndim
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":802
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')
 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

  /* function exit code */
  __pyx_L1_error:;
  {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
    #endif
    __Pyx_AddTraceback("View.MemoryView.slice_memviewslice", __pyx_clineno, __pyx_lineno, __pyx_filename);
    #ifdef WITH_THREAD
    __Pyx_PyGILState_Release(__pyx_gilstate_save);
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 * 
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<
 *     if arg < 0:
 *         return -arg
 */

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

/* "View.MemoryView":1111
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

static char __pyx_get_best_slice_order(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim) {
  int __pyx_v_i;
  Py_ssize_t __pyx_v_c_stride;
  Py_ssize_t __pyx_v_f_stride;
  char __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1116
 *     """
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t f_stride = 0
 * 
 */
  __pyx_v_c_stride = 0;

  /* "View.MemoryView":1117
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0
 *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_f_stride = 0;

  /* "View.MemoryView":1119
 *     cdef Py_ssize_t f_stride = 0
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

    /* "View.MemoryView":1120
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1121
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_c_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1122
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
      goto __pyx_L4_break;

      /* "View.MemoryView":1120
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L4_break:;

  /* "View.MemoryView":1124
 *             break
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 */
  __pyx_t_1 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_1;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1125
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1126
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1127
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 */
      goto __pyx_L7_break;

      /* "View.MemoryView":1125
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L7_break:;

  /* "View.MemoryView":1129
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1130
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 *         return 'C'             # <<<<<<<<<<<<<<
 *     else:
 *         return 'F'
 */
    __pyx_r = 'C';
    goto __pyx_L0;

    /* "View.MemoryView":1129
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  }

  /* "View.MemoryView":1132
 *         return 'C'
 *     else:
 *         return 'F'             # <<<<<<<<<<<<<<
 * 
 * @cython.cdivision(True)
 */
  /*else*/ {
    __pyx_r = 'F';
    goto __pyx_L0;
  }

  /* "View.MemoryView":1111
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

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

/* "View.MemoryView":1135
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
  Py_ssize_t __pyx_v_dst_extent;
  Py_ssize_t __pyx_v_src_stride;
  Py_ssize_t __pyx_v_dst_stride;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "View.MemoryView":1142
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 */
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);

  /* "View.MemoryView":1143
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 */
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);

  /* "View.MemoryView":1144
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 */
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);

  /* "View.MemoryView":1145
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);

  /* "View.MemoryView":1147
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1148
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1149
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 */
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
    __pyx_t_3 = (__pyx_t_2 != 0);
    __pyx_t_1 = __pyx_t_3;
    __pyx_L5_bool_binop_done:;

    /* "View.MemoryView":1148
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    if (__pyx_t_1) {

      /* "View.MemoryView":1150
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
 *        else:
 *            for i in range(dst_extent):
 */
      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));

      /* "View.MemoryView":1148
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
    }

    /* "View.MemoryView":1152
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      __pyx_t_5 = __pyx_t_4;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "View.MemoryView":1153
 *        else:
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                src_data += src_stride
 *                dst_data += dst_stride
 */
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));

        /* "View.MemoryView":1154
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride             # <<<<<<<<<<<<<<
 *                dst_data += dst_stride
 *     else:
 */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1155
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 *                dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
 */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1147
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1157
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    __pyx_t_5 = __pyx_t_4;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_i = __pyx_t_6;

      /* "View.MemoryView":1158
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1162
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1163
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
 */
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1135
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1165
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  /* "View.MemoryView":1168
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1165
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1172
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 */

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  int __pyx_v_i;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1175
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 *     cdef Py_ssize_t size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1177
 *     cdef Py_ssize_t size = src.memview.view.itemsize
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         size *= src.shape[i]
 * 
 */
  __pyx_t_2 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_2;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1178
 * 
 *     for i in range(ndim):
 *         size *= src.shape[i]             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * (__pyx_v_src->shape[__pyx_v_i]));
  }

  /* "View.MemoryView":1180
 *         size *= src.shape[i]
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1172
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef int i
 */

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

/* "View.MemoryView":1183
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
  int __pyx_v_idx;
  Py_ssize_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1192
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1193
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride = stride * shape[idx]
 */
    __pyx_t_2 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_idx = __pyx_t_4;

      /* "View.MemoryView":1194
 *     if order == 'F':
 *         for idx in range(ndim):
 *             strides[idx] = stride             # <<<<<<<<<<<<<<
 *             stride = stride * shape[idx]
 *     else:
 */
      (__pyx_v_strides[__pyx_v_idx]) = __pyx_v_stride;

      /* "View.MemoryView":1195
 *         for idx in range(ndim):
 *             strides[idx] = stride
 *             stride = stride * shape[idx]             # <<<<<<<<<<<<<<
 *     else:
 *         for idx in range(ndim - 1, -1, -1):
 */
      __pyx_v_stride = (__pyx_v_stride * (__pyx_v_shape[__pyx_v_idx]));
    }

    /* "View.MemoryView":1192
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1197
 *             stride = stride * shape[idx]
 *     else:
 *         for idx in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride = stride * shape[idx]
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 *     cdef int i
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 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
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 * 
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 * 
 */
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 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
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 * 
 *         transpose_memslice(&src)
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 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
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 * 
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 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
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 * 
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 */
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 * 
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 * 
 *     for i in range(offset):
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static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {

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/* "View.MemoryView":1403
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static void __pyx_memoryview__slice_assign_scalar(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item) {
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  return r;
}

static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_memoryview___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

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

static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_memoryview___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "pandas._libs.groupby.memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryviewslice_obj *p;
  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_memoryviewslice___dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}

static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  __pyx_tp_clear_memoryview(o);
  tmp = ((PyObject*)p->from_object);
  p->from_object = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
  return 0;
}

static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
}

static PyMethodDef __pyx_methods__memoryviewslice[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "pandas._libs.groupby._memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Internal class for passing memoryview slices to Python", /*tp_doc*/
  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods__memoryviewslice, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets__memoryviewslice, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new__memoryviewslice, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

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

#if PY_MAJOR_VERSION >= 3
#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_groupby(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_groupby},
  {0, NULL}
};
#endif

static struct PyModuleDef __pyx_moduledef = {
    PyModuleDef_HEAD_INIT,
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    0, /* m_doc */
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* m_size */
  #else
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  #endif
    __pyx_methods /* m_methods */,
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    __pyx_moduledef_slots, /* m_slots */
  #else
    NULL, /* m_reload */
  #endif
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
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        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

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

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

/* IsLittleEndian */
static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
{
  union {
    uint32_t u32;
    uint8_t u8[4];
  } S;
  S.u32 = 0x01020304;
  return S.u8[0] == 4;
}

/* BufferFormatCheck */
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t < '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1)
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static 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_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          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;
        }
        CYTHON_FALLTHROUGH;
      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;
        }
        CYTHON_FALLTHROUGH;
      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;
        }
    }
  }
}

/* BufferGetAndValidate */
  static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (unlikely(info->buf == NULL)) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}
static 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 int __Pyx__GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  buf->buf = NULL;
  if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) {
    __Pyx_ZeroBuffer(buf);
    return -1;
  }
  if (unlikely(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 (unlikely((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_SafeReleaseBuffer(buf);
  return -1;
}

/* 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_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_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;
}

/* GetModuleGlobalName */
  static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    if (likely(result)) {
        Py_INCREF(result);
    } else if (unlikely(PyErr_Occurred())) {
        result = NULL;
    } else {
#else
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

/* PyFunctionFastCall */
      #if CYTHON_FAST_PYCALL
#include "frameobject.h"
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = f->f_localsplus;
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* PyCFunctionFastCall */
      #if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)meth)) (self, args, nargs);
    }
}
#endif

/* 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(__Pyx_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!");
}

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

/* ObjectGetItem */
      #if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* PyErrFetchRestore */
      #if CYTHON_FAST_THREAD_STATE
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

/* 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) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    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

/* MemviewSliceInit */
      static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (!buf) {
        PyErr_SetString(PyExc_ValueError,
            "buf is NULL.");
        goto fail;
    } else if (memviewslice->memview || memviewslice->data) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF(memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
#ifndef Py_NO_RETURN
#define Py_NO_RETURN
#endif
static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
    va_list vargs;
    char msg[200];
#ifdef HAVE_STDARG_PROTOTYPES
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    va_end(vargs);
    Py_FatalError(msg);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    int first_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview || (PyObject *) memview == Py_None)
        return;
    if (__pyx_get_slice_count(memview) < 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    first_time = __pyx_add_acquisition_count(memview) == 0;
    if (first_time) {
        if (have_gil) {
            Py_INCREF((PyObject *) memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_INCREF((PyObject *) memview);
            PyGILState_Release(_gilstate);
        }
    }
}
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    int last_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (!memview ) {
        return;
    } else if ((PyObject *) memview == Py_None) {
        memslice->memview = NULL;
        return;
    }
    if (__pyx_get_slice_count(memview) <= 0)
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    last_time = __pyx_sub_acquisition_count(memview) == 1;
    memslice->data = NULL;
    if (last_time) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        memslice->memview = NULL;
    }
}

/* DictGetItem */
      #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args))
                PyErr_SetObject(PyExc_KeyError, args);
            Py_XDECREF(args);
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#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 (cause) {
        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 = __Pyx_PyThreadState_Current;
        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

/* UnicodeAsUCS4 */
      static CYTHON_INLINE Py_UCS4 __Pyx_PyUnicode_AsPy_UCS4(PyObject* x) {
   Py_ssize_t length;
   #if CYTHON_PEP393_ENABLED
   length = PyUnicode_GET_LENGTH(x);
   if (likely(length == 1)) {
       return PyUnicode_READ_CHAR(x, 0);
   }
   #else
   length = PyUnicode_GET_SIZE(x);
   if (likely(length == 1)) {
       return PyUnicode_AS_UNICODE(x)[0];
   }
   #if Py_UNICODE_SIZE == 2
   else if (PyUnicode_GET_SIZE(x) == 2) {
       Py_UCS4 high_val = PyUnicode_AS_UNICODE(x)[0];
       if (high_val >= 0xD800 && high_val <= 0xDBFF) {
           Py_UCS4 low_val = PyUnicode_AS_UNICODE(x)[1];
           if (low_val >= 0xDC00 && low_val <= 0xDFFF) {
               return 0x10000 + (((high_val & ((1<<10)-1)) << 10) | (low_val & ((1<<10)-1)));
           }
       }
   }
   #endif
   #endif
   PyErr_Format(PyExc_ValueError,
                "only single character unicode strings can be converted to Py_UCS4, "
                "got length %" CYTHON_FORMAT_SSIZE_T "d", length);
   return (Py_UCS4)-1;
}

/* object_ord */
      static long __Pyx__PyObject_Ord(PyObject* c) {
    Py_ssize_t size;
    if (PyBytes_Check(c)) {
        size = PyBytes_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyBytes_AS_STRING(c)[0];
        }
#if PY_MAJOR_VERSION < 3
    } else if (PyUnicode_Check(c)) {
        return (long)__Pyx_PyUnicode_AsPy_UCS4(c);
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    } else if (PyByteArray_Check(c)) {
        size = PyByteArray_GET_SIZE(c);
        if (likely(size == 1)) {
            return (unsigned char) PyByteArray_AS_STRING(c)[0];
        }
#endif
    } else {
        PyErr_Format(PyExc_TypeError,
            "ord() expected string of length 1, but %.200s found", c->ob_type->tp_name);
        return (long)(Py_UCS4)-1;
    }
    PyErr_Format(PyExc_TypeError,
        "ord() expected a character, but string of length %zd found", size);
    return (long)(Py_UCS4)-1;
}

/* SetItemInt */
      static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely((n >= 0) & (n < PyList_GET_SIZE(o)))) {
            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return -1;
                    PyErr_Clear();
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o))) {
#else
    if (is_list || PySequence_Check(o)) {
#endif
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

/* PyObjectCallNoArg */
        #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* PyObjectCallMethod0 */
          static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method, *result = NULL;
    method = __Pyx_PyObject_GetAttrStr(obj, method_name);
    if (unlikely(!method)) goto bad;
#if CYTHON_UNPACK_METHODS
    if (likely(PyMethod_Check(method))) {
        PyObject *self = PyMethod_GET_SELF(method);
        if (likely(self)) {
            PyObject *function = PyMethod_GET_FUNCTION(method);
            result = __Pyx_PyObject_CallOneArg(function, self);
            Py_DECREF(method);
            return result;
        }
    }
#endif
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

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

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

/* UnpackTuple2 */
          static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_COMPILING_IN_PYPY
    value1 = PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
#else
    value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
    value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
#endif
    if (decref_tuple) {
        Py_DECREF(tuple);
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
#if CYTHON_COMPILING_IN_PYPY
bad:
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
#endif
}
static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                       int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    iternextfunc iternext;
    iter = PyObject_GetIter(tuple);
    if (unlikely(!iter)) goto bad;
    if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
    iternext = Py_TYPE(iter)->tp_iternext;
    value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
    value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
    if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
    Py_DECREF(iter);
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}

/* dict_iter */
          static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#elif PY_MAJOR_VERSION >= 3
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        PyObject **pp = NULL;
        if (method_name) {
            const char *name = PyUnicode_AsUTF8(method_name);
            if (strcmp(name, "iteritems") == 0) pp = &py_items;
            else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
            else if (strcmp(name, "itervalues") == 0) pp = &py_values;
            if (pp) {
                if (!*pp) {
                    *pp = PyUnicode_FromString(name + 4);
                    if (!*pp)
                        return NULL;
                }
                method_name = *pp;
            }
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        PyObject *key, *value;
        if (unlikely(orig_length != PyDict_Size(iter_obj))) {
            PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
            return -1;
        }
        if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
            return 0;
        }
        if (pitem) {
            PyObject* tuple = PyTuple_New(2);
            if (unlikely(!tuple)) {
                return -1;
            }
            Py_INCREF(key);
            Py_INCREF(value);
            PyTuple_SET_ITEM(tuple, 0, key);
            PyTuple_SET_ITEM(tuple, 1, value);
            *pitem = tuple;
        } else {
            if (pkey) {
                Py_INCREF(key);
                *pkey = key;
            }
            if (pvalue) {
                Py_INCREF(value);
                *pvalue = value;
            }
        }
        return 1;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}

/* None */
          static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_mod___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t a, __pyx_t_5numpy_int64_t b) {
    __pyx_t_5numpy_int64_t r = a % b;
    r += ((r != 0) & ((r ^ b) < 0)) * b;
    return r;
}

/* BytesEquals */
          static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
          static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* SaveResetException */
          #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if PY_VERSION_HEX >= 0x030700A2
    *type = tstate->exc_state.exc_type;
    *value = tstate->exc_state.exc_value;
    *tb = tstate->exc_state.exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    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;
    #if PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = type;
    tstate->exc_state.exc_value = value;
    tstate->exc_state.exc_traceback = tb;
    #else
    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;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* PyErrExceptionMatches */
          #if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
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;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetException */
          #if CYTHON_FAST_THREAD_STATE
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_FAST_THREAD_STATE
    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_FAST_THREAD_STATE
    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_FAST_THREAD_STATE
    #if PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = local_type;
    tstate->exc_state.exc_value = local_value;
    tstate->exc_state.exc_traceback = local_tb;
    #else
    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;
    #endif
    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
}

/* GetAttr */
            static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#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 PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* None */
            static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
    Py_ssize_t q = a / b;
    Py_ssize_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* decode_c_string */
            static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    length = stop - start;
    if (unlikely(length <= 0))
        return PyUnicode_FromUnicode(NULL, 0);
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* SwapException */
            #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = *type;
    tstate->exc_state.exc_value = *value;
    tstate->exc_state.exc_traceback = *tb;
    #else
    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;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#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_MAJOR_VERSION < 3
    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, '.')) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            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_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* FastTypeChecks */
            #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* PyIntBinop */
            #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* None */
            static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* 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;
}

/* HasAttr */
            static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* PyObject_GenericGetAttrNoDict */
            #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PyObject_GenericGetAttr */
            #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

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

/* SetupReduce */
            static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD;
            ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD;
            ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto BAD;
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD;
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD;
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto GOOD;
BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* FetchCommonType */
            static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CythonFunction */
            #include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value))) {
#else
    if (unlikely(value == NULL || !PyString_Check(value))) {
#endif
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    PyObject_GC_Track(op);
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* FusedFunction */
                static PyObject *
__pyx_FusedFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags,
                        PyObject *qualname, PyObject *self,
                        PyObject *module, PyObject *globals,
                        PyObject *code)
{
    __pyx_FusedFunctionObject *fusedfunc =
        (__pyx_FusedFunctionObject *) __Pyx_CyFunction_New(type, ml, flags, qualname,
                                                           self, module, globals, code);
    if (!fusedfunc)
        return NULL;
    fusedfunc->__signatures__ = NULL;
    fusedfunc->type = NULL;
    fusedfunc->self = NULL;
    return (PyObject *) fusedfunc;
}
static void
__pyx_FusedFunction_dealloc(__pyx_FusedFunctionObject *self)
{
    PyObject_GC_UnTrack(self);
    Py_CLEAR(self->self);
    Py_CLEAR(self->type);
    Py_CLEAR(self->__signatures__);
    __Pyx__CyFunction_dealloc((__pyx_CyFunctionObject *) self);
}
static int
__pyx_FusedFunction_traverse(__pyx_FusedFunctionObject *self,
                             visitproc visit,
                             void *arg)
{
    Py_VISIT(self->self);
    Py_VISIT(self->type);
    Py_VISIT(self->__signatures__);
    return __Pyx_CyFunction_traverse((__pyx_CyFunctionObject *) self, visit, arg);
}
static int
__pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self)
{
    Py_CLEAR(self->self);
    Py_CLEAR(self->type);
    Py_CLEAR(self->__signatures__);
    return __Pyx_CyFunction_clear((__pyx_CyFunctionObject *) self);
}
static PyObject *
__pyx_FusedFunction_descr_get(PyObject *self, PyObject *obj, PyObject *type)
{
    __pyx_FusedFunctionObject *func, *meth;
    func = (__pyx_FusedFunctionObject *) self;
    if (func->self || func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(self);
        return self;
    }
    if (obj == Py_None)
        obj = NULL;
    meth = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_NewEx(
                    ((PyCFunctionObject *) func)->m_ml,
                    ((__pyx_CyFunctionObject *) func)->flags,
                    ((__pyx_CyFunctionObject *) func)->func_qualname,
                    ((__pyx_CyFunctionObject *) func)->func_closure,
                    ((PyCFunctionObject *) func)->m_module,
                    ((__pyx_CyFunctionObject *) func)->func_globals,
                    ((__pyx_CyFunctionObject *) func)->func_code);
    if (!meth)
        return NULL;
    Py_XINCREF(func->func.func_classobj);
    meth->func.func_classobj = func->func.func_classobj;
    Py_XINCREF(func->__signatures__);
    meth->__signatures__ = func->__signatures__;
    Py_XINCREF(type);
    meth->type = type;
    Py_XINCREF(func->func.defaults_tuple);
    meth->func.defaults_tuple = func->func.defaults_tuple;
    if (func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD)
        obj = type;
    Py_XINCREF(obj);
    meth->self = obj;
    return (PyObject *) meth;
}
static PyObject *
_obj_to_str(PyObject *obj)
{
    if (PyType_Check(obj))
        return PyObject_GetAttr(obj, __pyx_n_s_name_2);
    else
        return PyObject_Str(obj);
}
static PyObject *
__pyx_FusedFunction_getitem(__pyx_FusedFunctionObject *self, PyObject *idx)
{
    PyObject *signature = NULL;
    PyObject *unbound_result_func;
    PyObject *result_func = NULL;
    if (self->__signatures__ == NULL) {
        PyErr_SetString(PyExc_TypeError, "Function is not fused");
        return NULL;
    }
    if (PyTuple_Check(idx)) {
        PyObject *list = PyList_New(0);
        Py_ssize_t n = PyTuple_GET_SIZE(idx);
        PyObject *string = NULL;
        PyObject *sep = NULL;
        int i;
        if (!list)
            return NULL;
        for (i = 0; i < n; i++) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(idx, i);
#else
            PyObject *item = PySequence_ITEM(idx, i);
#endif
            string = _obj_to_str(item);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
            Py_DECREF(item);
#endif
            if (!string || PyList_Append(list, string) < 0)
                goto __pyx_err;
            Py_DECREF(string);
        }
        sep = PyUnicode_FromString("|");
        if (sep)
            signature = PyUnicode_Join(sep, list);
__pyx_err:
;
        Py_DECREF(list);
        Py_XDECREF(sep);
    } else {
        signature = _obj_to_str(idx);
    }
    if (!signature)
        return NULL;
    unbound_result_func = PyObject_GetItem(self->__signatures__, signature);
    if (unbound_result_func) {
        if (self->self || self->type) {
            __pyx_FusedFunctionObject *unbound = (__pyx_FusedFunctionObject *) unbound_result_func;
            Py_CLEAR(unbound->func.func_classobj);
            Py_XINCREF(self->func.func_classobj);
            unbound->func.func_classobj = self->func.func_classobj;
            result_func = __pyx_FusedFunction_descr_get(unbound_result_func,
                                                        self->self, self->type);
        } else {
            result_func = unbound_result_func;
            Py_INCREF(result_func);
        }
    }
    Py_DECREF(signature);
    Py_XDECREF(unbound_result_func);
    return result_func;
}
static PyObject *
__pyx_FusedFunction_callfunction(PyObject *func, PyObject *args, PyObject *kw)
{
     __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    int static_specialized = (cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD &&
                              !((__pyx_FusedFunctionObject *) func)->__signatures__);
    if (cyfunc->flags & __Pyx_CYFUNCTION_CCLASS && !static_specialized) {
        return __Pyx_CyFunction_CallAsMethod(func, args, kw);
    } else {
        return __Pyx_CyFunction_Call(func, args, kw);
    }
}
static PyObject *
__pyx_FusedFunction_call(PyObject *func, PyObject *args, PyObject *kw)
{
    __pyx_FusedFunctionObject *binding_func = (__pyx_FusedFunctionObject *) func;
    Py_ssize_t argc = PyTuple_GET_SIZE(args);
    PyObject *new_args = NULL;
    __pyx_FusedFunctionObject *new_func = NULL;
    PyObject *result = NULL;
    PyObject *self = NULL;
    int is_staticmethod = binding_func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD;
    int is_classmethod = binding_func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD;
    if (binding_func->self) {
        Py_ssize_t i;
        new_args = PyTuple_New(argc + 1);
        if (!new_args)
            return NULL;
        self = binding_func->self;
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_INCREF(self);
#endif
        Py_INCREF(self);
        PyTuple_SET_ITEM(new_args, 0, self);
        for (i = 0; i < argc; i++) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(args, i);
            Py_INCREF(item);
#else
            PyObject *item = PySequence_ITEM(args, i);  if (unlikely(!item)) goto bad;
#endif
            PyTuple_SET_ITEM(new_args, i + 1, item);
        }
        args = new_args;
    } else if (binding_func->type) {
        if (argc < 1) {
            PyErr_SetString(PyExc_TypeError, "Need at least one argument, 0 given.");
            return NULL;
        }
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        self = PyTuple_GET_ITEM(args, 0);
#else
        self = PySequence_ITEM(args, 0);  if (unlikely(!self)) return NULL;
#endif
    }
    if (self && !is_classmethod && !is_staticmethod) {
        int is_instance = PyObject_IsInstance(self, binding_func->type);
        if (unlikely(!is_instance)) {
            PyErr_Format(PyExc_TypeError,
                         "First argument should be of type %.200s, got %.200s.",
                         ((PyTypeObject *) binding_func->type)->tp_name,
                         self->ob_type->tp_name);
            goto bad;
        } else if (unlikely(is_instance == -1)) {
            goto bad;
        }
    }
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
    self = NULL;
#endif
    if (binding_func->__signatures__) {
        PyObject *tup;
        if (is_staticmethod && binding_func->func.flags & __Pyx_CYFUNCTION_CCLASS) {
            tup = PyTuple_Pack(3, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __Pyx_CyFunction_CallMethod(
                func, binding_func->__signatures__, tup, NULL);
        } else {
            tup = PyTuple_Pack(4, binding_func->__signatures__, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_callfunction(func, tup, NULL);
        }
        Py_DECREF(tup);
        if (unlikely(!new_func))
            goto bad;
        Py_XINCREF(binding_func->func.func_classobj);
        Py_CLEAR(new_func->func.func_classobj);
        new_func->func.func_classobj = binding_func->func.func_classobj;
        func = (PyObject *) new_func;
    }
    result = __pyx_FusedFunction_callfunction(func, args, kw);
bad:
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
#endif
    Py_XDECREF(new_args);
    Py_XDECREF((PyObject *) new_func);
    return result;
}
static PyMemberDef __pyx_FusedFunction_members[] = {
    {(char *) "__signatures__",
     T_OBJECT,
     offsetof(__pyx_FusedFunctionObject, __signatures__),
     READONLY,
     0},
    {0, 0, 0, 0, 0},
};
static PyMappingMethods __pyx_FusedFunction_mapping_methods = {
    0,
    (binaryfunc) __pyx_FusedFunction_getitem,
    0,
};
static PyTypeObject __pyx_FusedFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "fused_cython_function",
    sizeof(__pyx_FusedFunctionObject),
    0,
    (destructor) __pyx_FusedFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    0,
    0,
    0,
    &__pyx_FusedFunction_mapping_methods,
    0,
    (ternaryfunc) __pyx_FusedFunction_call,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __pyx_FusedFunction_traverse,
    (inquiry) __pyx_FusedFunction_clear,
    0,
    0,
    0,
    0,
    0,
    __pyx_FusedFunction_members,
    __pyx_CyFunction_getsets,
    &__pyx_CyFunctionType_type,
    0,
    __pyx_FusedFunction_descr_get,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
};
static int __pyx_FusedFunction_init(void) {
    __pyx_FusedFunctionType = __Pyx_FetchCommonType(&__pyx_FusedFunctionType_type);
    if (__pyx_FusedFunctionType == NULL) {
        return -1;
    }
    return 0;
}

/* CLineInTraceback */
                #ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
      use_cline = __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback);
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (PyObject_Not(use_cline) != 0) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* 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;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    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(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, 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 (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_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 ((0)) {}
        else if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view);
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


                /* MemviewSliceIsContig */
                static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs.memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
            return 0;
        itemsize *= mvs.shape[index];
    }
    return 1;
}

/* OverlappingSlices */
                static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}

/* Capsule */
                static CYTHON_INLINE PyObject *
__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
{
    PyObject *cobj;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, NULL);
#else
    cobj = PyCObject_FromVoidPtr(p, NULL);
#endif
    return cobj;
}

/* TypeInfoCompare */
                static int
__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
{
    int i;
    if (!a || !b)
        return 0;
    if (a == b)
        return 1;
    if (a->size != b->size || a->typegroup != b->typegroup ||
            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
        if (a->typegroup == 'H' || b->typegroup == 'H') {
            return a->size == b->size;
        } else {
            return 0;
        }
    }
    if (a->ndim) {
        for (i = 0; i < a->ndim; i++)
            if (a->arraysize[i] != b->arraysize[i])
                return 0;
    }
    if (a->typegroup == 'S') {
        if (a->flags != b->flags)
            return 0;
        if (a->fields || b->fields) {
            if (!(a->fields && b->fields))
                return 0;
            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
                __Pyx_StructField *field_a = a->fields + i;
                __Pyx_StructField *field_b = b->fields + i;
                if (field_a->offset != field_b->offset ||
                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
                    return 0;
            }
            return !a->fields[i].type && !b->fields[i].type;
        }
    }
    return 1;
}

/* MemviewSliceValidateAndInit */
                static int
__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
{
    if (buf->shape[dim] <= 1)
        return 1;
    if (buf->strides) {
        if (spec & __Pyx_MEMVIEW_CONTIG) {
            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
                if (buf->strides[dim] != sizeof(void *)) {
                    PyErr_Format(PyExc_ValueError,
                                 "Buffer is not indirectly contiguous "
                                 "in dimension %d.", dim);
                    goto fail;
                }
            } else if (buf->strides[dim] != buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
        if (spec & __Pyx_MEMVIEW_FOLLOW) {
            Py_ssize_t stride = buf->strides[dim];
            if (stride < 0)
                stride = -stride;
            if (stride < buf->itemsize) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
    } else {
        if (spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not contiguous in "
                         "dimension %d", dim);
            goto fail;
        } else if (spec & (__Pyx_MEMVIEW_PTR)) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not indirect in "
                         "dimension %d", dim);
            goto fail;
        } else if (buf->suboffsets) {
            PyErr_SetString(PyExc_ValueError,
                            "Buffer exposes suboffsets but no strides");
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
{
    if (spec & __Pyx_MEMVIEW_DIRECT) {
        if (buf->suboffsets && buf->suboffsets[dim] >= 0) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer not compatible with direct access "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    if (spec & __Pyx_MEMVIEW_PTR) {
        if (!buf->suboffsets || (buf->suboffsets && buf->suboffsets[dim] < 0)) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer is not indirectly accessible "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
{
    int i;
    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = 0; i < ndim; i++) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1)
            {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not fortran contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = ndim - 1; i >- 1; i--) {
            if (stride * buf->itemsize != buf->strides[i] &&
                    buf->shape[i] > 1) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not C contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    }
    return 1;
fail:
    return 0;
}
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj)
{
    struct __pyx_memoryview_obj *memview, *new_memview;
    __Pyx_RefNannyDeclarations
    Py_buffer *buf;
    int i, spec = 0, retval = -1;
    __Pyx_BufFmt_Context ctx;
    int from_memoryview = __pyx_memoryview_check(original_obj);
    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
                                                            original_obj)->typeinfo)) {
        memview = (struct __pyx_memoryview_obj *) original_obj;
        new_memview = NULL;
    } else {
        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                            original_obj, buf_flags, 0, dtype);
        new_memview = memview;
        if (unlikely(!memview))
            goto fail;
    }
    buf = &memview->view;
    if (buf->ndim != ndim) {
        PyErr_Format(PyExc_ValueError,
                "Buffer has wrong number of dimensions (expected %d, got %d)",
                ndim, buf->ndim);
        goto fail;
    }
    if (new_memview) {
        __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 "u byte%s) "
                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
                     buf->itemsize,
                     (buf->itemsize > 1) ? "s" : "",
                     dtype->name,
                     dtype->size,
                     (dtype->size > 1) ? "s" : "");
        goto fail;
    }
    for (i = 0; i < ndim; i++) {
        spec = axes_specs[i];
        if (!__pyx_check_strides(buf, i, ndim, spec))
            goto fail;
        if (!__pyx_check_suboffsets(buf, i, ndim, spec))
            goto fail;
    }
    if (buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
                                         new_memview != NULL) == -1)) {
        goto fail;
    }
    retval = 0;
    goto no_fail;
fail:
    Py_XDECREF(new_memview);
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int8_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int16_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int16_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_int64_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int64_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint8_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_uint8_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint16_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_uint16_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_uint32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_uint64_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_uint64_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_float32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dsds_nn___pyx_t_5numpy_float64_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
                static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_ds_nn___pyx_t_5numpy_int64_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_STRIDED) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, 0,
                                                 PyBUF_RECORDS_RO | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int64_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* 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_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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_float64_t(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(__pyx_t_5numpy_float64_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_float64_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_float64_t value = __pyx_PyFloat_AsDouble(obj);
    if ((value == ((npy_float64)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_float64_t *) itemp = value;
    return 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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int8(npy_int8 value) {
    const npy_int8 neg_one = (npy_int8) -1, const_zero = (npy_int8) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int8) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int8) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int8) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int8) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int8) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int8),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int8_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_int8(*(__pyx_t_5numpy_int8_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int8_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_int8_t value = __Pyx_PyInt_As_npy_int8(obj);
    if ((value == ((npy_int8)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_int8_t *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int16(npy_int16 value) {
    const npy_int16 neg_one = (npy_int16) -1, const_zero = (npy_int16) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int16) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int16) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int16) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int16) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int16) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int16),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int16_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_int16(*(__pyx_t_5numpy_int16_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int16_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_int16_t value = __Pyx_PyInt_As_npy_int16(obj);
    if ((value == ((npy_int16)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_int16_t *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value) {
    const npy_int32 neg_one = (npy_int32) -1, const_zero = (npy_int32) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int32) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int32) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int32) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int32) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int32) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int32),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int32_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_int32(*(__pyx_t_5numpy_int32_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int32_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_int32_t value = __Pyx_PyInt_As_npy_int32(obj);
    if ((value == ((npy_int32)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_int32_t *) itemp = value;
    return 1;
}

/* 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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int64) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int64) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        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);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_int64_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_int64(*(__pyx_t_5numpy_int64_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_int64_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_int64_t value = __Pyx_PyInt_As_npy_int64(obj);
    if ((value == ((npy_int64)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_int64_t *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint8(npy_uint8 value) {
    const npy_uint8 neg_one = (npy_uint8) -1, const_zero = (npy_uint8) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_uint8) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_uint8) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint8) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_uint8) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint8) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_uint8),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint8_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_uint8(*(__pyx_t_5numpy_uint8_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint8_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_uint8_t value = __Pyx_PyInt_As_npy_uint8(obj);
    if ((value == ((npy_uint8)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_uint8_t *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint16(npy_uint16 value) {
    const npy_uint16 neg_one = (npy_uint16) -1, const_zero = (npy_uint16) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_uint16) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_uint16) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint16) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_uint16) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint16) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_uint16),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint16_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_uint16(*(__pyx_t_5numpy_uint16_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint16_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_uint16_t value = __Pyx_PyInt_As_npy_uint16(obj);
    if ((value == ((npy_uint16)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_uint16_t *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint32(npy_uint32 value) {
    const npy_uint32 neg_one = (npy_uint32) -1, const_zero = (npy_uint32) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_uint32) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_uint32) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint32) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_uint32) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint32) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_uint32),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint32_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_uint32(*(__pyx_t_5numpy_uint32_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint32_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_uint32_t value = __Pyx_PyInt_As_npy_uint32(obj);
    if ((value == ((npy_uint32)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_uint32_t *) itemp = value;
    return 1;
}

/* CIntToPy */
                static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_uint64(npy_uint64 value) {
    const npy_uint64 neg_one = (npy_uint64) -1, const_zero = (npy_uint64) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_uint64) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_uint64) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint64) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_uint64) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_uint64) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_uint64),
                                     little, !is_unsigned);
    }
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_uint64_t(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_uint64(*(__pyx_t_5numpy_uint64_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_uint64_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_uint64_t value = __Pyx_PyInt_As_npy_uint64(obj);
    if ((value == ((npy_uint64)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_uint64_t *) itemp = value;
    return 1;
}

/* MemviewDtypeToObject */
                static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_5numpy_float32_t(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(__pyx_t_5numpy_float32_t *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_5numpy_float32_t(const char *itemp, PyObject *obj) {
    __pyx_t_5numpy_float32_t value = __pyx_PyFloat_AsFloat(obj);
    if ((value == ((npy_float32)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_5numpy_float32_t *) itemp = value;
    return 1;
}

/* Declarations */
                #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

/* Arithmetic */
                #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__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_sum_float(__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_diff_float(__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_prod_float(__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;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__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_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__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_abs_float(__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_pow_float(__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_prod_float(a, a);
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0, -1);
                }
            } else {
                r = __Pyx_c_abs_float(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

/* Declarations */
                #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

/* Arithmetic */
                #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__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_double(__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_double(__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_double(__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;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = 1.0 / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = 1.0 / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__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_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__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_double(__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_double(__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_double(a, a);
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0, -1);
                }
            } else {
                r = __Pyx_c_abs_double(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_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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        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);
    }
}

/* MemviewSliceCopyTemplate */
                static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    PyObject *temp_int = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (from_mvs->suboffsets[i] >= 0) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF(new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF(array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

/* 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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } 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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#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;
}

/* 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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } 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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int64) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#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 npy_int8 __Pyx_PyInt_As_npy_int8(PyObject *x) {
    const npy_int8 neg_one = (npy_int8) -1, const_zero = (npy_int8) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int8) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int8, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int8) 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_int8) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int8, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 2 * PyLong_SHIFT) {
                            return (npy_int8) (((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 3 * PyLong_SHIFT) {
                            return (npy_int8) (((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, 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_int8) >= 4 * PyLong_SHIFT) {
                            return (npy_int8) (((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)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_int8) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int8) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int8) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int8) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int8, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int8,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int8) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int8) ((((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int8) ((((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, 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_int8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, 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_int8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int8) ((((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int8) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int8) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int8 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_int8) -1;
        }
    } else {
        npy_int8 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int8) -1;
        val = __Pyx_PyInt_As_npy_int8(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int8");
    return (npy_int8) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int8");
    return (npy_int8) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE npy_int16 __Pyx_PyInt_As_npy_int16(PyObject *x) {
    const npy_int16 neg_one = (npy_int16) -1, const_zero = (npy_int16) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int16) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int16, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int16) 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_int16) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int16, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int16) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int16) >= 2 * PyLong_SHIFT) {
                            return (npy_int16) (((((npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int16) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int16) >= 3 * PyLong_SHIFT) {
                            return (npy_int16) (((((((npy_int16)digits[2]) << PyLong_SHIFT) | (npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int16) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, 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_int16) >= 4 * PyLong_SHIFT) {
                            return (npy_int16) (((((((((npy_int16)digits[3]) << PyLong_SHIFT) | (npy_int16)digits[2]) << PyLong_SHIFT) | (npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)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_int16) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int16) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int16, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int16) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int16, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int16) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int16, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int16,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int16) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int16) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int16) (((npy_int16)-1)*(((((npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int16) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int16) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int16) ((((((npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int16) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int16) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int16) (((npy_int16)-1)*(((((((npy_int16)digits[2]) << PyLong_SHIFT) | (npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int16) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int16) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int16) ((((((((npy_int16)digits[2]) << PyLong_SHIFT) | (npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int16) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, 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_int16) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int16) (((npy_int16)-1)*(((((((((npy_int16)digits[3]) << PyLong_SHIFT) | (npy_int16)digits[2]) << PyLong_SHIFT) | (npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int16) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int16, 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_int16) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int16) ((((((((((npy_int16)digits[3]) << PyLong_SHIFT) | (npy_int16)digits[2]) << PyLong_SHIFT) | (npy_int16)digits[1]) << PyLong_SHIFT) | (npy_int16)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int16) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int16, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int16) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int16, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int16 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_int16) -1;
        }
    } else {
        npy_int16 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int16) -1;
        val = __Pyx_PyInt_As_npy_int16(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int16");
    return (npy_int16) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int16");
    return (npy_int16) -1;
}

/* BytesContains */
                static CYTHON_INLINE int __Pyx_BytesContains(PyObject* bytes, char character) {
    const Py_ssize_t length = PyBytes_GET_SIZE(bytes);
    char* char_start = PyBytes_AS_STRING(bytes);
    return memchr(char_start, (unsigned char)character, (size_t)length) != NULL;
}

/* CIntFromPy */
                static CYTHON_INLINE npy_int32 __Pyx_PyInt_As_npy_int32(PyObject *x) {
    const npy_int32 neg_one = (npy_int32) -1, const_zero = (npy_int32) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int32) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int32, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int32) 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_int32) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int32, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 2 * PyLong_SHIFT) {
                            return (npy_int32) (((((npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 3 * PyLong_SHIFT) {
                            return (npy_int32) (((((((npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, 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_int32) >= 4 * PyLong_SHIFT) {
                            return (npy_int32) (((((((((npy_int32)digits[3]) << PyLong_SHIFT) | (npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)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_int32) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int32) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int32) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int32) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int32, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int32,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int32) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int32) (((npy_int32)-1)*(((((npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int32) ((((((npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int32) (((npy_int32)-1)*(((((((npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int32) ((((((((npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, 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_int32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int32) (((npy_int32)-1)*(((((((((npy_int32)digits[3]) << PyLong_SHIFT) | (npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, 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_int32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int32) ((((((((((npy_int32)digits[3]) << PyLong_SHIFT) | (npy_int32)digits[2]) << PyLong_SHIFT) | (npy_int32)digits[1]) << PyLong_SHIFT) | (npy_int32)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int32) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int32) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int32 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_int32) -1;
        }
    } else {
        npy_int32 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int32) -1;
        val = __Pyx_PyInt_As_npy_int32(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int32");
    return (npy_int32) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int32");
    return (npy_int32) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE npy_uint8 __Pyx_PyInt_As_npy_uint8(PyObject *x) {
    const npy_uint8 neg_one = (npy_uint8) -1, const_zero = (npy_uint8) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_uint8) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_uint8, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_uint8) 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_uint8) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint8, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_uint8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint8) >= 2 * PyLong_SHIFT) {
                            return (npy_uint8) (((((npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint8) >= 3 * PyLong_SHIFT) {
                            return (npy_uint8) (((((((npy_uint8)digits[2]) << PyLong_SHIFT) | (npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, 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_uint8) >= 4 * PyLong_SHIFT) {
                            return (npy_uint8) (((((((((npy_uint8)digits[3]) << PyLong_SHIFT) | (npy_uint8)digits[2]) << PyLong_SHIFT) | (npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)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_uint8) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_uint8) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint8, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint8) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint8, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_uint8) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_uint8, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint8,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_uint8) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint8) (((npy_uint8)-1)*(((((npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_uint8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint8) ((((((npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_uint8) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint8) (((npy_uint8)-1)*(((((((npy_uint8)digits[2]) << PyLong_SHIFT) | (npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint8) ((((((((npy_uint8)digits[2]) << PyLong_SHIFT) | (npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_uint8) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, 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_uint8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint8) (((npy_uint8)-1)*(((((((((npy_uint8)digits[3]) << PyLong_SHIFT) | (npy_uint8)digits[2]) << PyLong_SHIFT) | (npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint8, 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_uint8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint8) ((((((((((npy_uint8)digits[3]) << PyLong_SHIFT) | (npy_uint8)digits[2]) << PyLong_SHIFT) | (npy_uint8)digits[1]) << PyLong_SHIFT) | (npy_uint8)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_uint8) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint8, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint8) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint8, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_uint8 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_uint8) -1;
        }
    } else {
        npy_uint8 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_uint8) -1;
        val = __Pyx_PyInt_As_npy_uint8(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_uint8");
    return (npy_uint8) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_uint8");
    return (npy_uint8) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE npy_uint16 __Pyx_PyInt_As_npy_uint16(PyObject *x) {
    const npy_uint16 neg_one = (npy_uint16) -1, const_zero = (npy_uint16) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_uint16) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_uint16, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_uint16) 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_uint16) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint16, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_uint16) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint16) >= 2 * PyLong_SHIFT) {
                            return (npy_uint16) (((((npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint16) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint16) >= 3 * PyLong_SHIFT) {
                            return (npy_uint16) (((((((npy_uint16)digits[2]) << PyLong_SHIFT) | (npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint16) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, 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_uint16) >= 4 * PyLong_SHIFT) {
                            return (npy_uint16) (((((((((npy_uint16)digits[3]) << PyLong_SHIFT) | (npy_uint16)digits[2]) << PyLong_SHIFT) | (npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)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_uint16) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_uint16) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint16, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint16) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint16, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_uint16) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_uint16, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint16,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_uint16) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint16) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint16) (((npy_uint16)-1)*(((((npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_uint16) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint16) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint16) ((((((npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_uint16) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint16) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint16) (((npy_uint16)-1)*(((((((npy_uint16)digits[2]) << PyLong_SHIFT) | (npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint16) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint16) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint16) ((((((((npy_uint16)digits[2]) << PyLong_SHIFT) | (npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_uint16) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, 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_uint16) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint16) (((npy_uint16)-1)*(((((((((npy_uint16)digits[3]) << PyLong_SHIFT) | (npy_uint16)digits[2]) << PyLong_SHIFT) | (npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint16) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint16, 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_uint16) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint16) ((((((((((npy_uint16)digits[3]) << PyLong_SHIFT) | (npy_uint16)digits[2]) << PyLong_SHIFT) | (npy_uint16)digits[1]) << PyLong_SHIFT) | (npy_uint16)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_uint16) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint16, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint16) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint16, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_uint16 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_uint16) -1;
        }
    } else {
        npy_uint16 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_uint16) -1;
        val = __Pyx_PyInt_As_npy_uint16(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_uint16");
    return (npy_uint16) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_uint16");
    return (npy_uint16) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE npy_uint32 __Pyx_PyInt_As_npy_uint32(PyObject *x) {
    const npy_uint32 neg_one = (npy_uint32) -1, const_zero = (npy_uint32) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_uint32) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_uint32, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_uint32) 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_uint32) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint32, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_uint32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint32) >= 2 * PyLong_SHIFT) {
                            return (npy_uint32) (((((npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint32) >= 3 * PyLong_SHIFT) {
                            return (npy_uint32) (((((((npy_uint32)digits[2]) << PyLong_SHIFT) | (npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, 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_uint32) >= 4 * PyLong_SHIFT) {
                            return (npy_uint32) (((((((((npy_uint32)digits[3]) << PyLong_SHIFT) | (npy_uint32)digits[2]) << PyLong_SHIFT) | (npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)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_uint32) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_uint32) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint32, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint32) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint32, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_uint32) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_uint32, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint32,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_uint32) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint32) (((npy_uint32)-1)*(((((npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_uint32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint32) ((((((npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_uint32) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint32) (((npy_uint32)-1)*(((((((npy_uint32)digits[2]) << PyLong_SHIFT) | (npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint32) ((((((((npy_uint32)digits[2]) << PyLong_SHIFT) | (npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_uint32) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, 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_uint32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint32) (((npy_uint32)-1)*(((((((((npy_uint32)digits[3]) << PyLong_SHIFT) | (npy_uint32)digits[2]) << PyLong_SHIFT) | (npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint32, 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_uint32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint32) ((((((((((npy_uint32)digits[3]) << PyLong_SHIFT) | (npy_uint32)digits[2]) << PyLong_SHIFT) | (npy_uint32)digits[1]) << PyLong_SHIFT) | (npy_uint32)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_uint32) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint32, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint32) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint32, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_uint32 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_uint32) -1;
        }
    } else {
        npy_uint32 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_uint32) -1;
        val = __Pyx_PyInt_As_npy_uint32(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_uint32");
    return (npy_uint32) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_uint32");
    return (npy_uint32) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE npy_uint64 __Pyx_PyInt_As_npy_uint64(PyObject *x) {
    const npy_uint64 neg_one = (npy_uint64) -1, const_zero = (npy_uint64) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_uint64) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_uint64, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_uint64) 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_uint64) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint64, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_uint64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint64) >= 2 * PyLong_SHIFT) {
                            return (npy_uint64) (((((npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint64) >= 3 * PyLong_SHIFT) {
                            return (npy_uint64) (((((((npy_uint64)digits[2]) << PyLong_SHIFT) | (npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, 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_uint64) >= 4 * PyLong_SHIFT) {
                            return (npy_uint64) (((((((((npy_uint64)digits[3]) << PyLong_SHIFT) | (npy_uint64)digits[2]) << PyLong_SHIFT) | (npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)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_uint64) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_uint64) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint64, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint64) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint64, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_uint64) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_uint64, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_uint64,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_uint64) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint64) (((npy_uint64)-1)*(((((npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_uint64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_uint64) ((((((npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_uint64) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint64) (((npy_uint64)-1)*(((((((npy_uint64)digits[2]) << PyLong_SHIFT) | (npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_uint64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_uint64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_uint64) ((((((((npy_uint64)digits[2]) << PyLong_SHIFT) | (npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_uint64) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, 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_uint64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint64) (((npy_uint64)-1)*(((((((((npy_uint64)digits[3]) << PyLong_SHIFT) | (npy_uint64)digits[2]) << PyLong_SHIFT) | (npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_uint64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_uint64, 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_uint64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_uint64) ((((((((((npy_uint64)digits[3]) << PyLong_SHIFT) | (npy_uint64)digits[2]) << PyLong_SHIFT) | (npy_uint64)digits[1]) << PyLong_SHIFT) | (npy_uint64)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_uint64) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint64, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_uint64) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_uint64, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_uint64 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_uint64) -1;
        }
    } else {
        npy_uint64 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_uint64) -1;
        val = __Pyx_PyInt_As_npy_uint64(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_uint64");
    return (npy_uint64) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_uint64");
    return (npy_uint64) -1;
}

/* CIntFromPy */
                static CYTHON_INLINE enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType __Pyx_PyInt_As_enum____pyx_t_6pandas_5_libs_5algos_TiebreakEnumType(PyObject *x) {
    const enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType neg_one = (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) -1, const_zero = (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) 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 (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) 0;
                case  1: __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, digit, digits[0])
                case 2:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) >= 2 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) (((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) >= 3 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) (((((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[2]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, 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(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) >= 4 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) (((((((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[3]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[2]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)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 (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) 0;
                case -1: __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 2 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) (((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)-1)*(((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 2 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) ((((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 3 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) (((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)-1)*(((((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[2]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 3 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) ((((((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[2]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, 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(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 4 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) (((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)-1)*(((((((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[3]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[2]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, 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(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) - 1 > 4 * PyLong_SHIFT) {
                            return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) ((((((((((enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[3]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[2]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[1]) << PyLong_SHIFT) | (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType 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 (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) -1;
        }
    } else {
        enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) -1;
        val = __Pyx_PyInt_As_enum____pyx_t_6pandas_5_libs_5algos_TiebreakEnumType(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType");
    return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType");
    return (enum __pyx_t_6pandas_5_libs_5algos_TiebreakEnumType) -1;
}

/* ImportNumPyArray */
                static PyObject* __Pyx__ImportNumPyArray(void) {
    PyObject *numpy_module, *ndarray_object = NULL;
    numpy_module = __Pyx_Import(__pyx_n_s_numpy, NULL, 0);
    if (likely(numpy_module)) {
        ndarray_object = PyObject_GetAttrString(numpy_module, "ndarray");
        Py_DECREF(numpy_module);
    }
    if (unlikely(!ndarray_object)) {
        PyErr_Clear();
    }
    if (unlikely(!ndarray_object || !PyObject_TypeCheck(ndarray_object, &PyType_Type))) {
        Py_XDECREF(ndarray_object);
        Py_INCREF(Py_None);
        ndarray_object = Py_None;
    }
    return ndarray_object;
}
static CYTHON_INLINE PyObject* __Pyx_ImportNumPyArrayTypeIfAvailable(void) {
    if (unlikely(!__pyx_numpy_ndarray)) {
        __pyx_numpy_ndarray = __Pyx__ImportNumPyArray();
    }
    Py_INCREF(__pyx_numpy_ndarray);
    return __pyx_numpy_ndarray;
}

/* 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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } 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))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#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;
}

/* CIntFromPy */
                static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
    const char neg_one = (char) -1, const_zero = (char) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(char) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (char) 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 (char) 0;
                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, 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(char) >= 4 * PyLong_SHIFT) {
                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)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 (char) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(char) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, 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(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, 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(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(char) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            char 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 (char) -1;
        }
    } else {
        char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyInt_As_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to char");
    return (char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to char");
    return (char) -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;
        if (PyObject_Hash(*t->p) == -1)
            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 const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    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
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(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
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __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)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } 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 PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  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 */
