/* 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__sparse
#define __PYX_HAVE_API__pandas___libs__sparse
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.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/sparse.pyx",
  "stringsource",
  "pandas/_libs/sparse_op_helper.pxi",
  "__init__.pxd",
  "type.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;


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

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":759
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":763
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":767
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
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#endif
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/* Declarations.proto */
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/*--- Type declarations ---*/
struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex;
struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex;
struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex;
struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge;
struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection;
struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":769
 * ctypedef npy_longdouble longdouble_t
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 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":770
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":771
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":773
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;

/* "pandas/_libs/sparse.pyx":34
 * 
 * 
 * cdef class SparseIndex:             # <<<<<<<<<<<<<<
 *     """
 *     Abstract superclass for sparse index types.
 */
struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex {
  PyObject_HEAD
};


/* "pandas/_libs/sparse.pyx":43
 * 
 * 
 * cdef class IntIndex(SparseIndex):             # <<<<<<<<<<<<<<
 *     """
 *     Object for holding exact integer sparse indexing information
 */
struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex {
  struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex __pyx_base;
  struct __pyx_vtabstruct_6pandas_5_libs_6sparse_IntIndex *__pyx_vtab;
  Py_ssize_t length;
  Py_ssize_t npoints;
  PyArrayObject *indices;
};


/* "pandas/_libs/sparse.pyx":320
 * # BlockIndex
 * 
 * cdef class BlockIndex(SparseIndex):             # <<<<<<<<<<<<<<
 *     """
 *     Object for holding block-based sparse indexing information
 */
struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex {
  struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex __pyx_base;
  struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockIndex *__pyx_vtab;
  __pyx_t_5numpy_int32_t nblocks;
  __pyx_t_5numpy_int32_t npoints;
  __pyx_t_5numpy_int32_t length;
  PyArrayObject *blocs;
  PyArrayObject *blengths;
  PyObject *__weakref__;
  __pyx_t_5numpy_int32_t *locbuf;
  __pyx_t_5numpy_int32_t *lenbuf;
};


/* "pandas/_libs/sparse.pyx":625
 * 
 * 
 * cdef class BlockMerge(object):             # <<<<<<<<<<<<<<
 *     """
 *     Object-oriented approach makes sharing state between recursive functions a
 */
struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge {
  PyObject_HEAD
  struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge *__pyx_vtab;
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *x;
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *y;
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *result;
  PyArrayObject *xstart;
  PyArrayObject *xlen;
  PyArrayObject *xend;
  PyArrayObject *ystart;
  PyArrayObject *ylen;
  PyArrayObject *yend;
  __pyx_t_5numpy_int32_t xi;
  __pyx_t_5numpy_int32_t yi;
};


/* "pandas/_libs/sparse.pyx":667
 *             self.yi = xi
 * 
 * cdef class BlockIntersection(BlockMerge):             # <<<<<<<<<<<<<<
 *     """
 *     not done yet
 */
struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection {
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge __pyx_base;
};


/* "pandas/_libs/sparse.pyx":673
 *     pass
 * 
 * cdef class BlockUnion(BlockMerge):             # <<<<<<<<<<<<<<
 *     """
 *     Object-oriented approach makes sharing state between recursive functions a
 */
struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion {
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge __pyx_base;
};



/* "pandas/_libs/sparse.pyx":43
 * 
 * 
 * cdef class IntIndex(SparseIndex):             # <<<<<<<<<<<<<<
 *     """
 *     Object for holding exact integer sparse indexing information
 */

struct __pyx_vtabstruct_6pandas_5_libs_6sparse_IntIndex {
  struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *(*intersect)(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, int __pyx_skip_dispatch);
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  PyArrayObject *(*lookup_array)(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, PyArrayObject *, int __pyx_skip_dispatch);
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static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_IntIndex *__pyx_vtabptr_6pandas_5_libs_6sparse_IntIndex;


/* "pandas/_libs/sparse.pyx":320
 * # BlockIndex
 * 
 * cdef class BlockIndex(SparseIndex):             # <<<<<<<<<<<<<<
 *     """
 *     Object for holding block-based sparse indexing information
 */

struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockIndex {
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static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockIndex *__pyx_vtabptr_6pandas_5_libs_6sparse_BlockIndex;


/* "pandas/_libs/sparse.pyx":625
 * 
 * 
 * cdef class BlockMerge(object):             # <<<<<<<<<<<<<<
 *     """
 *     Object-oriented approach makes sharing state between recursive functions a
 */

struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge {
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  PyObject *(*_set_current_indices)(struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *, __pyx_t_5numpy_int32_t, __pyx_t_5numpy_int32_t, int);
};
static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge *__pyx_vtabptr_6pandas_5_libs_6sparse_BlockMerge;


/* "pandas/_libs/sparse.pyx":667
 *             self.yi = xi
 * 
 * cdef class BlockIntersection(BlockMerge):             # <<<<<<<<<<<<<<
 *     """
 *     not done yet
 */

struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockIntersection {
  struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge __pyx_base;
};
static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockIntersection *__pyx_vtabptr_6pandas_5_libs_6sparse_BlockIntersection;


/* "pandas/_libs/sparse.pyx":673
 *     pass
 * 
 * cdef class BlockUnion(BlockMerge):             # <<<<<<<<<<<<<<
 *     """
 *     Object-oriented approach makes sharing state between recursive functions a
 */

struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockUnion {
  struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge __pyx_base;
  __pyx_t_5numpy_int32_t (*_find_next_block_end)(struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *, int);
};
static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockUnion *__pyx_vtabptr_6pandas_5_libs_6sparse_BlockUnion;

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#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

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

/* 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

/* None.proto */
static CYTHON_INLINE long __Pyx_div_long(long, long);

/* None.proto */
static CYTHON_INLINE __pyx_t_5numpy_float64_t __Pyx_mod___pyx_t_5numpy_float64_t(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t);

/* None.proto */
static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_div___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t);

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

/* 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);

/* 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

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

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

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

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

/* 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

/* 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

/* CallNextTpTraverse.proto */
static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);

/* CallNextTpClear.proto */
static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_dealloc);

/* 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

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

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

/* 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);

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

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

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


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

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

/* None.proto */
static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_pow___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t);

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

/* 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))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* 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))
    #endif
 #endif
#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);
    #endif
#endif

/* 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))
    #endif
 #endif
#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);
    #endif
#endif

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

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

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

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

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

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

/* 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)

/* 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 struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_f_6pandas_5_libs_6sparse_8IntIndex_intersect(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_y_, int __pyx_skip_dispatch); /* proto*/
static struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_f_6pandas_5_libs_6sparse_8IntIndex_make_union(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_y_, int __pyx_skip_dispatch); /* proto*/
static __pyx_t_5numpy_int32_t __pyx_f_6pandas_5_libs_6sparse_8IntIndex_lookup(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, Py_ssize_t __pyx_v_index, int __pyx_skip_dispatch); /* proto*/
static PyArrayObject *__pyx_f_6pandas_5_libs_6sparse_8IntIndex_lookup_array(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, PyArrayObject *__pyx_v_indexer, int __pyx_skip_dispatch); /* proto*/
static PyArrayObject *__pyx_f_6pandas_5_libs_6sparse_8IntIndex_reindex(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, PyArrayObject *__pyx_v_values, __pyx_t_5numpy_float64_t __pyx_v_fill_value, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_other_, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_8IntIndex_put(CYTHON_UNUSED struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, CYTHON_UNUSED PyArrayObject *__pyx_v_values, CYTHON_UNUSED PyArrayObject *__pyx_v_indices, CYTHON_UNUSED PyObject *__pyx_v_to_put, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_8IntIndex_take(CYTHON_UNUSED struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, CYTHON_UNUSED PyArrayObject *__pyx_v_values, CYTHON_UNUSED PyArrayObject *__pyx_v_indices, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_10BlockIndex_check_integrity(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_f_6pandas_5_libs_6sparse_10BlockIndex_intersect(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_other, int __pyx_skip_dispatch); /* proto*/
static struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_f_6pandas_5_libs_6sparse_10BlockIndex_make_union(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_y, int __pyx_skip_dispatch); /* proto*/
static Py_ssize_t __pyx_f_6pandas_5_libs_6sparse_10BlockIndex_lookup(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, Py_ssize_t __pyx_v_index, int __pyx_skip_dispatch); /* proto*/
static PyArrayObject *__pyx_f_6pandas_5_libs_6sparse_10BlockIndex_lookup_array(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, PyArrayObject *__pyx_v_indexer, int __pyx_skip_dispatch); /* proto*/
static PyArrayObject *__pyx_f_6pandas_5_libs_6sparse_10BlockIndex_reindex(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, CYTHON_UNUSED PyArrayObject *__pyx_v_values, CYTHON_UNUSED __pyx_t_5numpy_float64_t __pyx_v_fill_value, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_other_, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_10BlockIndex_put(CYTHON_UNUSED struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, CYTHON_UNUSED PyArrayObject *__pyx_v_values, CYTHON_UNUSED PyArrayObject *__pyx_v_indices, CYTHON_UNUSED PyObject *__pyx_v_to_put, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_10BlockIndex_take(CYTHON_UNUSED struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, CYTHON_UNUSED PyArrayObject *__pyx_v_values, CYTHON_UNUSED PyArrayObject *__pyx_v_indices, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_10BlockMerge__make_merged_blocks(CYTHON_UNUSED struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_10BlockMerge__set_current_indices(struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *__pyx_v_self, __pyx_t_5numpy_int32_t __pyx_v_xi, __pyx_t_5numpy_int32_t __pyx_v_yi, int __pyx_v_mode); /* proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_10BlockUnion__make_merged_blocks(struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *__pyx_v_self); /* proto*/
static __pyx_t_5numpy_int32_t __pyx_f_6pandas_5_libs_6sparse_10BlockUnion__find_next_block_end(struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *__pyx_v_self, int __pyx_v_mode); /* proto*/

/* Module declarations from 'cython' */

/* 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' */

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

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

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

/* 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 'pandas._libs.sparse' */
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6sparse_SparseIndex = 0;
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6sparse_IntIndex = 0;
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6sparse_BlockIndex = 0;
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6sparse_BlockMerge = 0;
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6sparse_BlockIntersection = 0;
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6sparse_BlockUnion = 0;
static __pyx_t_5numpy_float64_t __pyx_v_6pandas_5_libs_6sparse_NaN;
static __pyx_t_5numpy_float64_t __pyx_v_6pandas_5_libs_6sparse_INF;
static PyObject *__pyx_f_6pandas_5_libs_6sparse_get_blocks(PyArrayObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_6sparse___div_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_6sparse___truediv_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_6sparse___floordiv_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_6sparse___mod_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_6sparse___div_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_6pandas_5_libs_6sparse___truediv_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6sparse___floordiv_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6sparse___mod_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_add_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_add_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_add_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_add_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_add_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_add_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_add_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_add_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_sub_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_sub_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_sub_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_sub_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_sub_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_sub_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_sub_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_sub_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_mul_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_mul_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_mul_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_mul_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_mul_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_mul_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_mul_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_mul_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_div_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_div_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_div_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_div_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_div_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_div_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_div_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_div_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_mod_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_mod_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_mod_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_mod_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_mod_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_mod_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_mod_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_mod_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_truediv_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_truediv_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_truediv_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_truediv_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_truediv_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_truediv_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_truediv_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_truediv_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_floordiv_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_floordiv_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_floordiv_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_floordiv_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_floordiv_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_floordiv_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_floordiv_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_floordiv_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_pow_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_pow_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_pow_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_pow_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_pow_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_pow_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_pow_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_pow_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_eq_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_eq_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_eq_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_eq_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_eq_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_eq_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_eq_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_eq_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_ne_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_ne_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_ne_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_ne_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_ne_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_ne_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_ne_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_ne_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_lt_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_lt_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_lt_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_lt_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_lt_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_lt_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_lt_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_lt_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_gt_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_gt_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_gt_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_gt_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_gt_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_gt_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_gt_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_gt_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_le_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_le_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_le_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_le_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_le_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_le_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_le_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_le_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_ge_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_ge_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_float64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_ge_float64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_ge_float64(__pyx_t_5numpy_float64_t, __pyx_t_5numpy_float64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_ge_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_ge_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_ge_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_ge_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_and_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_and_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_and_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_and_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_and_uint8(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_uint8_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_uint8_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_and_uint8(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_uint8_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_uint8_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_and_uint8(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_uint8_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_uint8_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_and_uint8(__pyx_t_5numpy_uint8_t, __pyx_t_5numpy_uint8_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_or_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_or_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_int64_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_or_int64(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_or_int64(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_block_op_or_uint8(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_uint8_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *, __pyx_t_5numpy_uint8_t); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5_libs_6sparse_int_op_or_uint8(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_uint8_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *, __pyx_t_5numpy_uint8_t); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_or_uint8(PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_uint8_t, PyArrayObject *, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, __pyx_t_5numpy_uint8_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse_sparse_fill_or_uint8(__pyx_t_5numpy_uint8_t, __pyx_t_5numpy_uint8_t, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse___pyx_unpickle_SparseIndex__set_state(struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *, PyObject *); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse___pyx_unpickle_BlockMerge__set_state(struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *, PyObject *); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse___pyx_unpickle_BlockIntersection__set_state(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection *, PyObject *); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6sparse___pyx_unpickle_BlockUnion__set_state(struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *, PyObject *); /*proto*/
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_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_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_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 };
#define __Pyx_MODULE_NAME "pandas._libs.sparse"
extern int __pyx_module_is_main_pandas___libs__sparse;
int __pyx_module_is_main_pandas___libs__sparse = 0;

/* Implementation of 'pandas._libs.sparse' */
static PyObject *__pyx_builtin_NotImplementedError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_min;
static PyObject *__pyx_builtin_max;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static const char __pyx_k_i[] = "i";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_NaN[] = "NaN";
static const char __pyx_k_act[] = "act";
static const char __pyx_k_arr[] = "arr";
static const char __pyx_k_exp[] = "exp";
static const char __pyx_k_idx[] = "idx";
static const char __pyx_k_inf[] = "inf";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_put[] = "put";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_1_10[] = "1.10";
static const char __pyx_k_1_11[] = "1.11";
static const char __pyx_k_bool[] = "bool";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_fill[] = "fill";
static const char __pyx_k_int8[] = "int8";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mask[] = "mask";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_ones[] = "ones";
static const char __pyx_k_take[] = "take";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_view[] = "view";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_blocs[] = "blocs";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_int32[] = "int32";
static const char __pyx_k_int64[] = "int64";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_other[] = "other_";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_uint8[] = "uint8";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_xfill[] = "xfill";
static const char __pyx_k_yfill[] = "yfill";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_length[] = "length";
static const char __pyx_k_lookup[] = "lookup";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_to_put[] = "to_put";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_xindex[] = "xindex";
static const char __pyx_k_yindex[] = "yindex";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_indexer[] = "indexer";
static const char __pyx_k_indices[] = "indices";
static const char __pyx_k_reindex[] = "reindex";
static const char __pyx_k_union1d[] = "union1d";
static const char __pyx_k_version[] = "version";
static const char __pyx_k_IntIndex[] = "IntIndex\n";
static const char __pyx_k_blengths[] = "blengths";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_operator[] = "operator";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_Indices_s[] = "Indices: %s\n";
static const char __pyx_k_index_map[] = "index_map";
static const char __pyx_k_intersect[] = "intersect";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_BlockIndex[] = "BlockIndex\n";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_fill_value[] = "fill_value";
static const char __pyx_k_make_union[] = "make_union";
static const char __pyx_k_new_length[] = "new_length";
static const char __pyx_k_np_version[] = "_np_version";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_array_equal[] = "array_equal";
static const char __pyx_k_LooseVersion[] = "LooseVersion";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_lookup_array[] = "lookup_array";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_searchsorted[] = "searchsorted";
static const char __pyx_k_sparse_index[] = "sparse_index";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_to_int_index[] = "to_int_index";
static const char __pyx_k_get_reindexer[] = "get_reindexer";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_short_version[] = "short_version";
static const char __pyx_k_to_block_index[] = "to_block_index";
static const char __pyx_k_Block_lengths_s[] = "Block lengths: %s";
static const char __pyx_k_check_integrity[] = "check_integrity";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_reindex_integer[] = "reindex_integer";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_Block_d_overlaps[] = "Block %d overlaps";
static const char __pyx_k_Block_locations_s[] = "Block locations: %s\n";
static const char __pyx_k_ascontiguousarray[] = "ascontiguousarray";
static const char __pyx_k_distutils_version[] = "distutils.version";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_Mode_must_be_0_or_1[] = "Mode must be 0 or 1";
static const char __pyx_k_NotImplementedError[] = "NotImplementedError";
static const char __pyx_k_Zero_length_block_d[] = "Zero-length block %d";
static const char __pyx_k_pandas__libs_sparse[] = "pandas._libs.sparse";
static const char __pyx_k_np_version_under1p10[] = "_np_version_under1p10";
static const char __pyx_k_np_version_under1p11[] = "_np_version_under1p11";
static const char __pyx_k_pandas__libs_sparse_pyx[] = "pandas/_libs/sparse.pyx";
static const char __pyx_k_pyx_unpickle_BlockMerge[] = "__pyx_unpickle_BlockMerge";
static const char __pyx_k_pyx_unpickle_BlockUnion[] = "__pyx_unpickle_BlockUnion";
static const char __pyx_k_make_mask_object_ndarray[] = "make_mask_object_ndarray";
static const char __pyx_k_pyx_unpickle_SparseIndex[] = "__pyx_unpickle_SparseIndex";
static const char __pyx_k_Block_d_extends_beyond_end[] = "Block %d extends beyond end";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_No_index_can_be_less_than_zero[] = "No index can be less than zero";
static const char __pyx_k_pyx_unpickle_BlockIntersection[] = "__pyx_unpickle_BlockIntersection";
static const char __pyx_k_block_bound_arrays_must_be_same[] = "block bound arrays must be same length";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_All_indices_must_be_less_than_th[] = "All indices must be less than the length";
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_Incompatible_checksums_s_vs_0x0c[] = "Incompatible checksums (%s vs 0x0ce6794 = (result, x, xend, xi, xlen, xstart, y, yend, yi, ylen, ystart))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xd4[] = "Incompatible checksums (%s vs 0xd41d8cd = ())";
static const char __pyx_k_Indices_must_be_strictly_increas[] = "Indices must be strictly increasing";
static const char __pyx_k_Indices_must_reference_same_unde[] = "Indices must reference same underlying length";
static const char __pyx_k_Locations_not_in_ascending_order[] = "Locations not in ascending order";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Too_many_indices_Expected_exp_bu[] = "Too many indices. Expected {exp} but found {act}";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_s_1_10;
static PyObject *__pyx_kp_s_1_11;
static PyObject *__pyx_kp_s_All_indices_must_be_less_than_th;
static PyObject *__pyx_n_s_BlockIndex;
static PyObject *__pyx_kp_s_Block_d_extends_beyond_end;
static PyObject *__pyx_kp_s_Block_d_overlaps;
static PyObject *__pyx_kp_s_Block_lengths_s;
static PyObject *__pyx_kp_s_Block_locations_s;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x0c;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xd4;
static PyObject *__pyx_kp_s_Indices_must_be_strictly_increas;
static PyObject *__pyx_kp_s_Indices_must_reference_same_unde;
static PyObject *__pyx_kp_s_Indices_s;
static PyObject *__pyx_n_s_IntIndex;
static PyObject *__pyx_kp_s_Locations_not_in_ascending_order;
static PyObject *__pyx_n_s_LooseVersion;
static PyObject *__pyx_kp_s_Mode_must_be_0_or_1;
static PyObject *__pyx_n_s_NaN;
static PyObject *__pyx_kp_s_No_index_can_be_less_than_zero;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_NotImplementedError;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_kp_s_Too_many_indices_Expected_exp_bu;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_s_Zero_length_block_d;
static PyObject *__pyx_n_s_act;
static PyObject *__pyx_n_s_arr;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_array_equal;
static PyObject *__pyx_n_s_ascontiguousarray;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_blengths;
static PyObject *__pyx_kp_s_block_bound_arrays_must_be_same;
static PyObject *__pyx_n_s_blocs;
static PyObject *__pyx_n_s_bool;
static PyObject *__pyx_n_s_check_integrity;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_distutils_version;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_exp;
static PyObject *__pyx_n_s_fill;
static PyObject *__pyx_n_s_fill_value;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_get_reindexer;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_idx;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_index_map;
static PyObject *__pyx_n_s_indexer;
static PyObject *__pyx_n_s_indices;
static PyObject *__pyx_n_s_inf;
static PyObject *__pyx_n_s_int32;
static PyObject *__pyx_n_s_int64;
static PyObject *__pyx_n_s_int8;
static PyObject *__pyx_n_s_intersect;
static PyObject *__pyx_n_s_length;
static PyObject *__pyx_n_s_lookup;
static PyObject *__pyx_n_s_lookup_array;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_make_mask_object_ndarray;
static PyObject *__pyx_n_s_make_union;
static PyObject *__pyx_n_s_mask;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_name;
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_new;
static PyObject *__pyx_n_s_new_length;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_np_version;
static PyObject *__pyx_n_s_np_version_under1p10;
static PyObject *__pyx_n_s_np_version_under1p11;
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_ones;
static PyObject *__pyx_n_s_operator;
static PyObject *__pyx_n_s_other;
static PyObject *__pyx_n_s_pandas__libs_sparse;
static PyObject *__pyx_kp_s_pandas__libs_sparse_pyx;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_put;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
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_BlockIntersection;
static PyObject *__pyx_n_s_pyx_unpickle_BlockMerge;
static PyObject *__pyx_n_s_pyx_unpickle_BlockUnion;
static PyObject *__pyx_n_s_pyx_unpickle_SparseIndex;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_range;
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_reindex;
static PyObject *__pyx_n_s_reindex_integer;
static PyObject *__pyx_n_s_searchsorted;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_short_version;
static PyObject *__pyx_n_s_sparse_index;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_sys;
static PyObject *__pyx_n_s_take;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_to_block_index;
static PyObject *__pyx_n_s_to_int_index;
static PyObject *__pyx_n_s_to_put;
static PyObject *__pyx_n_s_uint8;
static PyObject *__pyx_n_s_union1d;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_version;
static PyObject *__pyx_n_s_view;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_xfill;
static PyObject *__pyx_n_s_xindex;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_yfill;
static PyObject *__pyx_n_s_yindex;
static int __pyx_pf_6pandas_5_libs_6sparse_11SparseIndex___init__(CYTHON_UNUSED struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_11SparseIndex_2__reduce_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_11SparseIndex_4__setstate_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_6pandas_5_libs_6sparse_8IntIndex___init__(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, Py_ssize_t __pyx_v_length, PyObject *__pyx_v_indices); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_2__reduce__(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_4__repr__(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_6check_integrity(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_8equals(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_5ngaps___get__(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_10to_int_index(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_12to_block_index(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_14intersect(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_y_); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_16make_union(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_y_); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_18lookup(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, Py_ssize_t __pyx_v_index); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_20lookup_array(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, PyArrayObject *__pyx_v_indexer); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_22reindex(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, PyArrayObject *__pyx_v_values, __pyx_t_5numpy_float64_t __pyx_v_fill_value, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_other_); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_24put(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_indices, PyObject *__pyx_v_to_put); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_26take(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_indices); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_6length___get__(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_7npoints___get__(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8IntIndex_7indices___get__(struct __pyx_obj_6pandas_5_libs_6sparse_IntIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_get_blocks(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_indices); /* proto */
static int __pyx_pf_6pandas_5_libs_6sparse_10BlockIndex___init__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, PyObject *__pyx_v_length, PyObject *__pyx_v_blocs, PyObject *__pyx_v_blengths); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_2__reduce__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_4__repr__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_5ngaps___get__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_6check_integrity(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_8equals(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_10to_block_index(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_12to_int_index(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_14intersect(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_16make_union(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_18lookup(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, Py_ssize_t __pyx_v_index); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_20lookup_array(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, PyArrayObject *__pyx_v_indexer); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_22reindex(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, PyArrayObject *__pyx_v_values, __pyx_t_5numpy_float64_t __pyx_v_fill_value, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_other_); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_24put(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_indices, PyObject *__pyx_v_to_put); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_26take(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self, PyArrayObject *__pyx_v_values, PyArrayObject *__pyx_v_indices); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_7nblocks___get__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_7npoints___get__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_6length___get__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_5blocs___get__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockIndex_8blengths___get__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_self); /* proto */
static int __pyx_pf_6pandas_5_libs_6sparse_10BlockMerge___init__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *__pyx_v_self, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockMerge_2__reduce_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockMerge_4__setstate_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_17BlockIntersection___reduce_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_17BlockIntersection_2__setstate_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockUnion___reduce_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10BlockUnion_2__setstate_cython__(struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_2sparse_add_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_4sparse_fill_add_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_6sparse_add_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_8sparse_fill_add_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_10sparse_sub_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_12sparse_fill_sub_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_14sparse_sub_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_16sparse_fill_sub_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_18sparse_mul_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_20sparse_fill_mul_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_22sparse_mul_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_24sparse_fill_mul_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_26sparse_div_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_28sparse_fill_div_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_30sparse_div_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_32sparse_fill_div_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_34sparse_mod_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_36sparse_fill_mod_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_38sparse_mod_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_40sparse_fill_mod_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_42sparse_truediv_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_44sparse_fill_truediv_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_46sparse_truediv_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_48sparse_fill_truediv_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_50sparse_floordiv_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_52sparse_fill_floordiv_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_54sparse_floordiv_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_56sparse_fill_floordiv_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_58sparse_pow_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_60sparse_fill_pow_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_62sparse_pow_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_64sparse_fill_pow_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_66sparse_eq_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_68sparse_fill_eq_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_70sparse_eq_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_72sparse_fill_eq_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_74sparse_ne_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_76sparse_fill_ne_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_78sparse_ne_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_80sparse_fill_ne_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_82sparse_lt_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_84sparse_fill_lt_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_86sparse_lt_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_88sparse_fill_lt_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_90sparse_gt_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_92sparse_fill_gt_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_94sparse_gt_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_96sparse_fill_gt_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_98sparse_le_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_100sparse_fill_le_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_102sparse_le_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_104sparse_fill_le_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_106sparse_ge_float64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_float64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_108sparse_fill_ge_float64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_float64_t __pyx_v_xfill, __pyx_t_5numpy_float64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_110sparse_ge_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_112sparse_fill_ge_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_114sparse_and_int64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_x, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_xindex, __pyx_t_5numpy_int64_t __pyx_v_xfill, PyArrayObject *__pyx_v_y, struct __pyx_obj_6pandas_5_libs_6sparse_SparseIndex *__pyx_v_yindex, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6sparse_116sparse_fill_and_int64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_xfill, __pyx_t_5numpy_int64_t __pyx_v_yfill); /* proto */
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static PyObject *__pyx_pf_6pandas_5_libs_6sparse_128sparse_fill_or_uint8(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_uint8_t __pyx_v_xfill, __pyx_t_5numpy_uint8_t __pyx_v_yfill); /* proto */
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 */
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 */
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  #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);
  if (p->__weakref__) PyObject_ClearWeakRefs(o);
  Py_CLEAR(p->blocs);
  Py_CLEAR(p->blengths);
  #if CYTHON_USE_TYPE_SLOTS
  if (PyType_IS_GC(Py_TYPE(o)->tp_base))
  #endif
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_6pandas_5_libs_6sparse_SparseIndex(o);
}

static int __pyx_tp_traverse_6pandas_5_libs_6sparse_BlockIndex(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *p = (struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)o;
  e = ((likely(__pyx_ptype_6pandas_5_libs_6sparse_SparseIndex)) ? ((__pyx_ptype_6pandas_5_libs_6sparse_SparseIndex->tp_traverse) ? __pyx_ptype_6pandas_5_libs_6sparse_SparseIndex->tp_traverse(o, v, a) : 0) : __Pyx_call_next_tp_traverse(o, v, a, __pyx_tp_traverse_6pandas_5_libs_6sparse_BlockIndex)); if (e) return e;
  if (p->blocs) {
    e = (*v)(((PyObject *)p->blocs), a); if (e) return e;
  }
  if (p->blengths) {
    e = (*v)(((PyObject *)p->blengths), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pandas_5_libs_6sparse_BlockIndex(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *p = (struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)o;
  if (likely(__pyx_ptype_6pandas_5_libs_6sparse_SparseIndex)) { if (__pyx_ptype_6pandas_5_libs_6sparse_SparseIndex->tp_clear) __pyx_ptype_6pandas_5_libs_6sparse_SparseIndex->tp_clear(o); } else __Pyx_call_next_tp_clear(o, __pyx_tp_clear_6pandas_5_libs_6sparse_BlockIndex);
  tmp = ((PyObject*)p->blocs);
  p->blocs = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->blengths);
  p->blengths = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_ngaps(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_5ngaps_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_nblocks(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_7nblocks_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_npoints(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_7npoints_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_length(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_6length_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_blocs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_5blocs_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_blengths(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_8blengths_1__get__(o);
}

static PyMethodDef __pyx_methods_6pandas_5_libs_6sparse_BlockIndex[] = {
  {"__reduce__", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_3__reduce__, METH_NOARGS, 0},
  {"check_integrity", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_7check_integrity, METH_NOARGS, __pyx_doc_6pandas_5_libs_6sparse_10BlockIndex_6check_integrity},
  {"equals", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_9equals, METH_O, 0},
  {"to_block_index", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_11to_block_index, METH_NOARGS, 0},
  {"to_int_index", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_13to_int_index, METH_NOARGS, 0},
  {"intersect", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_15intersect, METH_O, __pyx_doc_6pandas_5_libs_6sparse_10BlockIndex_14intersect},
  {"make_union", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_17make_union, METH_O, __pyx_doc_6pandas_5_libs_6sparse_10BlockIndex_16make_union},
  {"lookup", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_19lookup, METH_O, __pyx_doc_6pandas_5_libs_6sparse_10BlockIndex_18lookup},
  {"lookup_array", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_21lookup_array, METH_O, __pyx_doc_6pandas_5_libs_6sparse_10BlockIndex_20lookup_array},
  {"reindex", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_23reindex, METH_VARARGS|METH_KEYWORDS, 0},
  {"put", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_25put, METH_VARARGS|METH_KEYWORDS, 0},
  {"take", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_27take, METH_VARARGS|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pandas_5_libs_6sparse_BlockIndex[] = {
  {(char *)"ngaps", __pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_ngaps, 0, (char *)0, 0},
  {(char *)"nblocks", __pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_nblocks, 0, (char *)0, 0},
  {(char *)"npoints", __pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_npoints, 0, (char *)0, 0},
  {(char *)"length", __pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_length, 0, (char *)0, 0},
  {(char *)"blocs", __pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_blocs, 0, (char *)0, 0},
  {(char *)"blengths", __pyx_getprop_6pandas_5_libs_6sparse_10BlockIndex_blengths, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6pandas_5_libs_6sparse_BlockIndex = {
  PyVarObject_HEAD_INIT(0, 0)
  "pandas._libs.sparse.BlockIndex", /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_5_libs_6sparse_BlockIndex, /*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_pw_6pandas_5_libs_6sparse_10BlockIndex_5__repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  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*/
  "\n    Object for holding block-based sparse indexing information\n\n    Parameters\n    ----------\n    ", /*tp_doc*/
  __pyx_tp_traverse_6pandas_5_libs_6sparse_BlockIndex, /*tp_traverse*/
  __pyx_tp_clear_6pandas_5_libs_6sparse_BlockIndex, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_5_libs_6sparse_BlockIndex, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pandas_5_libs_6sparse_BlockIndex, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_6pandas_5_libs_6sparse_10BlockIndex_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_5_libs_6sparse_BlockIndex, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge __pyx_vtable_6pandas_5_libs_6sparse_BlockMerge;

static PyObject *__pyx_tp_new_6pandas_5_libs_6sparse_BlockMerge(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *)o);
  p->__pyx_vtab = __pyx_vtabptr_6pandas_5_libs_6sparse_BlockMerge;
  p->x = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  p->y = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  p->result = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  p->xstart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->xlen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->xend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ystart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->ylen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  p->yend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_6pandas_5_libs_6sparse_BlockMerge(PyObject *o) {
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *p = (struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *)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);
  Py_CLEAR(p->x);
  Py_CLEAR(p->y);
  Py_CLEAR(p->result);
  Py_CLEAR(p->xstart);
  Py_CLEAR(p->xlen);
  Py_CLEAR(p->xend);
  Py_CLEAR(p->ystart);
  Py_CLEAR(p->ylen);
  Py_CLEAR(p->yend);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_6pandas_5_libs_6sparse_BlockMerge(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *p = (struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *)o;
  if (p->x) {
    e = (*v)(((PyObject *)p->x), a); if (e) return e;
  }
  if (p->y) {
    e = (*v)(((PyObject *)p->y), a); if (e) return e;
  }
  if (p->result) {
    e = (*v)(((PyObject *)p->result), a); if (e) return e;
  }
  if (p->xstart) {
    e = (*v)(((PyObject *)p->xstart), a); if (e) return e;
  }
  if (p->xlen) {
    e = (*v)(((PyObject *)p->xlen), a); if (e) return e;
  }
  if (p->xend) {
    e = (*v)(((PyObject *)p->xend), a); if (e) return e;
  }
  if (p->ystart) {
    e = (*v)(((PyObject *)p->ystart), a); if (e) return e;
  }
  if (p->ylen) {
    e = (*v)(((PyObject *)p->ylen), a); if (e) return e;
  }
  if (p->yend) {
    e = (*v)(((PyObject *)p->yend), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_6pandas_5_libs_6sparse_BlockMerge(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *p = (struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge *)o;
  tmp = ((PyObject*)p->x);
  p->x = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->y);
  p->y = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->result);
  p->result = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockIndex *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->xstart);
  p->xstart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->xlen);
  p->xlen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->xend);
  p->xend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ystart);
  p->ystart = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ylen);
  p->ylen = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->yend);
  p->yend = ((PyArrayObject *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_6pandas_5_libs_6sparse_BlockMerge[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockMerge_3__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockMerge_5__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6pandas_5_libs_6sparse_BlockMerge = {
  PyVarObject_HEAD_INIT(0, 0)
  "pandas._libs.sparse.BlockMerge", /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_5_libs_6sparse_BlockMerge), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_5_libs_6sparse_BlockMerge, /*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
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  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*/
  "\n    Object-oriented approach makes sharing state between recursive functions a\n    lot easier and reduces code duplication\n    ", /*tp_doc*/
  __pyx_tp_traverse_6pandas_5_libs_6sparse_BlockMerge, /*tp_traverse*/
  __pyx_tp_clear_6pandas_5_libs_6sparse_BlockMerge, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_5_libs_6sparse_BlockMerge, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_6pandas_5_libs_6sparse_10BlockMerge_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_5_libs_6sparse_BlockMerge, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockIntersection __pyx_vtable_6pandas_5_libs_6sparse_BlockIntersection;

static PyObject *__pyx_tp_new_6pandas_5_libs_6sparse_BlockIntersection(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection *p;
  PyObject *o = __pyx_tp_new_6pandas_5_libs_6sparse_BlockMerge(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge*)__pyx_vtabptr_6pandas_5_libs_6sparse_BlockIntersection;
  return o;
}

static PyMethodDef __pyx_methods_6pandas_5_libs_6sparse_BlockIntersection[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_17BlockIntersection_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_17BlockIntersection_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6pandas_5_libs_6sparse_BlockIntersection = {
  PyVarObject_HEAD_INIT(0, 0)
  "pandas._libs.sparse.BlockIntersection", /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_5_libs_6sparse_BlockIntersection), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_5_libs_6sparse_BlockMerge, /*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
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  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*/
  "\n    not done yet\n    ", /*tp_doc*/
  __pyx_tp_traverse_6pandas_5_libs_6sparse_BlockMerge, /*tp_traverse*/
  __pyx_tp_clear_6pandas_5_libs_6sparse_BlockMerge, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_5_libs_6sparse_BlockIntersection, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_pw_6pandas_5_libs_6sparse_10BlockMerge_1__init__, /*tp_init*/
  #else
  0, /*tp_init*/
  #endif
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_5_libs_6sparse_BlockIntersection, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};
static struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockUnion __pyx_vtable_6pandas_5_libs_6sparse_BlockUnion;

static PyObject *__pyx_tp_new_6pandas_5_libs_6sparse_BlockUnion(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *p;
  PyObject *o = __pyx_tp_new_6pandas_5_libs_6sparse_BlockMerge(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_6pandas_5_libs_6sparse_BlockMerge*)__pyx_vtabptr_6pandas_5_libs_6sparse_BlockUnion;
  return o;
}

static PyMethodDef __pyx_methods_6pandas_5_libs_6sparse_BlockUnion[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockUnion_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_10BlockUnion_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_6pandas_5_libs_6sparse_BlockUnion = {
  PyVarObject_HEAD_INIT(0, 0)
  "pandas._libs.sparse.BlockUnion", /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_5_libs_6sparse_BlockUnion), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_5_libs_6sparse_BlockMerge, /*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
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  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*/
  "\n    Object-oriented approach makes sharing state between recursive functions a\n    lot easier and reduces code duplication\n    ", /*tp_doc*/
  __pyx_tp_traverse_6pandas_5_libs_6sparse_BlockMerge, /*tp_traverse*/
  __pyx_tp_clear_6pandas_5_libs_6sparse_BlockMerge, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_5_libs_6sparse_BlockUnion, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_pw_6pandas_5_libs_6sparse_10BlockMerge_1__init__, /*tp_init*/
  #else
  0, /*tp_init*/
  #endif
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_5_libs_6sparse_BlockUnion, /*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[] = {
  {"get_blocks", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_1get_blocks, METH_O, 0},
  {"sparse_add_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_3sparse_add_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_add_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_5sparse_fill_add_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_add_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_7sparse_add_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_add_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_9sparse_fill_add_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_sub_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_11sparse_sub_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_sub_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_13sparse_fill_sub_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_sub_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_15sparse_sub_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_sub_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_17sparse_fill_sub_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_mul_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_19sparse_mul_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_mul_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_21sparse_fill_mul_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_mul_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_23sparse_mul_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_mul_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_25sparse_fill_mul_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_div_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_27sparse_div_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_div_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_29sparse_fill_div_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_div_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_31sparse_div_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_div_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_33sparse_fill_div_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_mod_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_35sparse_mod_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_mod_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_37sparse_fill_mod_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_mod_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_39sparse_mod_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_mod_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_41sparse_fill_mod_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_truediv_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_43sparse_truediv_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_truediv_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_45sparse_fill_truediv_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_truediv_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_47sparse_truediv_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_truediv_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_49sparse_fill_truediv_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_floordiv_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_51sparse_floordiv_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_floordiv_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_53sparse_fill_floordiv_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_floordiv_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_55sparse_floordiv_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_floordiv_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_57sparse_fill_floordiv_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_pow_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_59sparse_pow_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_pow_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_61sparse_fill_pow_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_pow_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_63sparse_pow_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_pow_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_65sparse_fill_pow_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_eq_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_67sparse_eq_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_eq_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_69sparse_fill_eq_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_eq_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_71sparse_eq_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_eq_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_73sparse_fill_eq_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_ne_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_75sparse_ne_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_ne_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_77sparse_fill_ne_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_ne_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_79sparse_ne_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_ne_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_81sparse_fill_ne_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_lt_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_83sparse_lt_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_lt_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_85sparse_fill_lt_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_lt_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_87sparse_lt_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_lt_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_89sparse_fill_lt_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_gt_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_91sparse_gt_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_gt_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_93sparse_fill_gt_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_gt_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_95sparse_gt_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_gt_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_97sparse_fill_gt_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_le_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_99sparse_le_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_le_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_101sparse_fill_le_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_le_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_103sparse_le_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_le_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_105sparse_fill_le_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_ge_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_107sparse_ge_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_ge_float64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_109sparse_fill_ge_float64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_ge_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_111sparse_ge_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_ge_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_113sparse_fill_ge_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_and_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_115sparse_and_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_and_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_117sparse_fill_and_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_and_uint8", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_119sparse_and_uint8, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_and_uint8", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_121sparse_fill_and_uint8, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_or_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_123sparse_or_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_or_int64", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_125sparse_fill_or_int64, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_or_uint8", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_127sparse_or_uint8, METH_VARARGS|METH_KEYWORDS, 0},
  {"sparse_fill_or_uint8", (PyCFunction)__pyx_pw_6pandas_5_libs_6sparse_129sparse_fill_or_uint8, METH_VARARGS|METH_KEYWORDS, 0},
  {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_sparse(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_sparse},
  {0, NULL}
};
#endif

static struct PyModuleDef __pyx_moduledef = {
    PyModuleDef_HEAD_INIT,
    "sparse",
    0, /* m_doc */
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* m_size */
  #else
    -1, /* m_size */
  #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 */
};
#endif

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    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

/* 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

/* 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);
}

/* 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;
}

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

/* 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;
}

/* 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

/* 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

/* 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

/* 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

/* 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;
}

/* 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;
}

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

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

/* 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

/* 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;
}

/* 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
}

/* 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 long __Pyx_div_long(long a, long b) {
    long q = a / b;
    long r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* None */
        static CYTHON_INLINE __pyx_t_5numpy_float64_t __Pyx_mod___pyx_t_5numpy_float64_t(__pyx_t_5numpy_float64_t a, __pyx_t_5numpy_float64_t b) {
    __pyx_t_5numpy_float64_t r = fmod(a, b);
    r += ((r != 0) & ((r < 0) ^ (b < 0))) * b;
    return r;
}

/* None */
        static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_div___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t a, __pyx_t_5numpy_int64_t b) {
    __pyx_t_5numpy_int64_t q = a / b;
    __pyx_t_5numpy_int64_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* 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;
}

/* 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

/* 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;
}

/* 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;
    }
}

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

/* 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

/* 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;
}

/* CallNextTpTraverse */
          static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_traverse != current_tp_traverse)
        type = type->tp_base;
    while (type && type->tp_traverse == current_tp_traverse)
        type = type->tp_base;
    if (type && type->tp_traverse)
        return type->tp_traverse(obj, v, a);
    return 0;
}

/* CallNextTpClear */
          static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_clear != current_tp_clear)
        type = type->tp_base;
    while (type && type->tp_clear == current_tp_clear)
        type = type->tp_base;
    if (type && type->tp_clear)
        type->tp_clear(obj);
}

/* 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

/* 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);
  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;
}

/* 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;
}

/* 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);
}

/* 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);
    }
}

/* 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;\
    }

#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);
    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


          /* 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_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);
    }
}

/* None */
          static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_pow___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t b, __pyx_t_5numpy_int64_t e) {
    __pyx_t_5numpy_int64_t t = b;
    switch (e) {
        case 3:
            t *= b;
        CYTHON_FALLTHROUGH;
        case 2:
            t *= b;
        CYTHON_FALLTHROUGH;
        case 1:
            return t;
        case 0:
            return 1;
    }
    #if 1
    if (unlikely(e<0)) return 0;
    #endif
    t = 1;
    while (likely(e)) {
        t *= (b * (e&1)) | ((~e)&1);
        b *= b;
        e >>= 1;
    }
    return t;
}

/* 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);
    }
}

/* 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);
    }
}

/* 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_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_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 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 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;
}

/* 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

/* 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 */
