/* 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 {
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        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__tslibs__period
#define __PYX_HAVE_API__pandas___libs__tslibs__period
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "pythread.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include <stdlib.h>
#include <stddef.h>
#include <time.h>
#include "datetime.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "../src/datetime/np_datetime.h"
#include "numpy_helper.h"
#include "headers/stdint.h"
#include "period_helper.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/tslibs/period.pyx",
  "__init__.pxd",
  "datetime.pxd",
  "pandas/_libs/src/util.pxd",
  "type.pxd",
  "bool.pxd",
  "complex.pxd",
  "pandas/_libs/tslibs/conversion.pxd",
};
/* BufferFormatStructs.proto */
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;

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

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


/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":730
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":731
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":737
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":738
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

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

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":745
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":756
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * 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
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":767
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":769
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":770
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":771
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/* "../../../Envs/pandas-dev/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":773
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/* "frequencies.pxd":4
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/* "frequencies.pxd":10
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 * 
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struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period {
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/* IncludeStringH.proto */
#include <string.h>

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

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

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

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

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

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, int inplace);
#else
#define __Pyx_PyInt_EqObjC(op1, op2, intval, inplace)\
    PyObject_RichCompare(op1, op2, Py_EQ)
    #endif

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

/* 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

/* 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

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

/* dict_getitem_default.proto */
static PyObject* __Pyx_PyDict_GetItemDefault(PyObject* d, PyObject* key, PyObject* default_value);

/* UnpackUnboundCMethod.proto */
typedef struct {
    PyObject *type;
    PyObject **method_name;
    PyCFunction func;
    PyObject *method;
    int flag;
} __Pyx_CachedCFunction;

/* CallUnboundCMethod1.proto */
static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg);
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg);
#else
#define __Pyx_CallUnboundCMethod1(cfunc, self, arg)  __Pyx__CallUnboundCMethod1(cfunc, self, arg)
#endif

/* CallUnboundCMethod2.proto */
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030600B1
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2);
#else
#define __Pyx_CallUnboundCMethod2(cfunc, self, arg1, arg2)  __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2)
#endif

/* pyfrozenset_new.proto */
static CYTHON_INLINE PyObject* __Pyx_PyFrozenSet_New(PyObject* it);

/* PySetContains.proto */
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int 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

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

/* 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

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

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

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

/* ClassMethod.proto */
#include "descrobject.h"
static PyObject* __Pyx_Method_ClassMethod(PyObject *method);

/* GetNameInClass.proto */
static PyObject *__Pyx_GetNameInClass(PyObject *nmspace, PyObject *name);

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

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

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* 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);

/* 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_int(int value);

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

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

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

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

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

/* VoidPtrImport.proto */
static int __Pyx_ImportVoidPtr(PyObject *module, const char *name, void **p, const char *sig);

/* FunctionImport.proto */
static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig);

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


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

/* Module declarations from '__builtin__' */

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from '__builtin__' */

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

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

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

/* Module declarations from '__builtin__' */

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from 'cpython' */

/* 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 'libc.stdlib' */

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

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

/* Module declarations from 'cython' */

/* Module declarations from 'datetime' */

/* Module declarations from 'cpython.datetime' */
static PyTypeObject *__pyx_ptype_7cpython_8datetime_date = 0;
static PyTypeObject *__pyx_ptype_7cpython_8datetime_time = 0;
static PyTypeObject *__pyx_ptype_7cpython_8datetime_datetime = 0;
static PyTypeObject *__pyx_ptype_7cpython_8datetime_timedelta = 0;
static PyTypeObject *__pyx_ptype_7cpython_8datetime_tzinfo = 0;

/* Module declarations from 'pandas._libs.tslibs.np_datetime' */
static int (*__pyx_vp_6pandas_5_libs_6tslibs_11np_datetime_reverse_ops)[6] = 0;
#define __pyx_v_6pandas_5_libs_6tslibs_11np_datetime_reverse_ops (*__pyx_vp_6pandas_5_libs_6tslibs_11np_datetime_reverse_ops)
static __pyx_t_5numpy_int64_t (*__pyx_f_6pandas_5_libs_6tslibs_11np_datetime_dtstruct_to_dt64)(pandas_datetimestruct *); /*proto*/
static void (*__pyx_f_6pandas_5_libs_6tslibs_11np_datetime_dt64_to_dtstruct)(__pyx_t_5numpy_int64_t, pandas_datetimestruct *); /*proto*/

/* Module declarations from 'util' */
static CYTHON_INLINE int __pyx_f_4util_is_string_object(PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4util_is_integer_object(PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4util_is_float_object(PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4util_is_datetime64_object(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_4util_set_value_at_unsafe(PyArrayObject *, PyObject *, PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4util_is_period_object(PyObject *); /*proto*/

/* Module declarations from 'pandas._libs.missing' */
static int (*__pyx_f_6pandas_5_libs_7missing_is_null_datetimelike)(PyObject *); /*proto*/

/* Module declarations from 'pandas._libs.tslibs.timezones' */
static int (*__pyx_f_6pandas_5_libs_6tslibs_9timezones_is_utc)(PyObject *); /*proto*/
static int (*__pyx_f_6pandas_5_libs_6tslibs_9timezones_is_tzlocal)(PyObject *); /*proto*/
static PyObject *(*__pyx_f_6pandas_5_libs_6tslibs_9timezones_get_utcoffset)(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *(*__pyx_f_6pandas_5_libs_6tslibs_9timezones_get_dst_info)(PyObject *); /*proto*/

/* Module declarations from 'pandas._libs.tslibs.timedeltas' */
static __pyx_t_5numpy_int64_t (*__pyx_f_6pandas_5_libs_6tslibs_10timedeltas_delta_to_nanoseconds)(PyObject *, int __pyx_skip_dispatch); /*proto*/

/* Module declarations from 'pandas._libs.tslibs.ccalendar' */
static int (*__pyx_f_6pandas_5_libs_6tslibs_9ccalendar_dayofweek)(int, int, int); /*proto*/
static int (*__pyx_f_6pandas_5_libs_6tslibs_9ccalendar_is_leapyear)(__pyx_t_5numpy_int64_t); /*proto*/
static __pyx_t_5numpy_int32_t (*__pyx_f_6pandas_5_libs_6tslibs_9ccalendar_get_days_in_month)(int, Py_ssize_t, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_5numpy_int32_t (*__pyx_f_6pandas_5_libs_6tslibs_9ccalendar_get_week_of_year)(int, int, int, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_5numpy_int32_t (*__pyx_f_6pandas_5_libs_6tslibs_9ccalendar_get_day_of_year)(int, int, int, int __pyx_skip_dispatch); /*proto*/

/* Module declarations from 'pandas._libs.tslibs.conversion' */
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6tslibs_10conversion__TSObject = 0;
static __pyx_t_5numpy_int64_t (*__pyx_f_6pandas_5_libs_6tslibs_10conversion_tz_convert_utc_to_tzlocal)(__pyx_t_5numpy_int64_t, PyDateTime_TZInfo *); /*proto*/

/* Module declarations from 'pandas._libs.tslibs.frequencies' */
static PyObject *(*__pyx_f_6pandas_5_libs_6tslibs_11frequencies_get_rule_month)(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6pandas_5_libs_6tslibs_11frequencies_get_rule_month *__pyx_optional_args); /*proto*/
static PyObject *(*__pyx_f_6pandas_5_libs_6tslibs_11frequencies_get_freq_code)(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *(*__pyx_f_6pandas_5_libs_6tslibs_11frequencies_get_base_alias)(PyObject *, int __pyx_skip_dispatch); /*proto*/
static int (*__pyx_f_6pandas_5_libs_6tslibs_11frequencies_get_to_timestamp_base)(int, int __pyx_skip_dispatch); /*proto*/
static PyObject *(*__pyx_f_6pandas_5_libs_6tslibs_11frequencies_get_freq_str)(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6pandas_5_libs_6tslibs_11frequencies_get_freq_str *__pyx_optional_args); /*proto*/

/* Module declarations from 'pandas._libs.tslibs.nattype' */
static __pyx_t_5numpy_int64_t *__pyx_vp_6pandas_5_libs_6tslibs_7nattype_NPY_NAT = 0;
#define __pyx_v_6pandas_5_libs_6tslibs_7nattype_NPY_NAT (*__pyx_vp_6pandas_5_libs_6tslibs_7nattype_NPY_NAT)
static int (*__pyx_vp_6pandas_5_libs_6tslibs_7nattype__nat_scalar_rules)[6] = 0;
#define __pyx_v_6pandas_5_libs_6tslibs_7nattype__nat_scalar_rules (*__pyx_vp_6pandas_5_libs_6tslibs_7nattype__nat_scalar_rules)

/* Module declarations from 'pandas._libs.tslibs.period' */
static PyTypeObject *__pyx_ptype_6pandas_5_libs_6tslibs_6period__Period = 0;
static PyObject *__pyx_v_6pandas_5_libs_6tslibs_6period_extra_fmts = 0;
static PyObject *__pyx_v_6pandas_5_libs_6tslibs_6period_str_extra_fmts = 0;
static char *__pyx_f_6pandas_5_libs_6tslibs_6period_c_strftime(pandas_datetimestruct *, char *); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_5_libs_6tslibs_6period_get_freq_group(int); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_5_libs_6tslibs_6period_get_freq_group_index(int); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period_get_period_ordinal(pandas_datetimestruct *, int); /*proto*/
static void __pyx_f_6pandas_5_libs_6tslibs_6period_get_date_info(__pyx_t_5numpy_int64_t, int, pandas_datetimestruct *); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period_get_unix_date(__pyx_t_5numpy_int64_t, int); /*proto*/
static void __pyx_f_6pandas_5_libs_6tslibs_6period_date_info_from_days_and_time(pandas_datetimestruct *, __pyx_t_5numpy_int64_t, double); /*proto*/
static double __pyx_f_6pandas_5_libs_6tslibs_6period_get_abs_time(int, __pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_get_yq(__pyx_t_5numpy_int64_t, int, int *, int *); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_DtoQ_yq(__pyx_t_5numpy_int64_t, asfreq_info *, int *); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_5_libs_6tslibs_6period_month_to_quarter(int); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period_period_asfreq(__pyx_t_5numpy_int64_t, int, int, int, int __pyx_skip_dispatch); /*proto*/
static void __pyx_f_6pandas_5_libs_6tslibs_6period_get_asfreq_info(int, int, int, asfreq_info *); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_calc_a_year_end(int, int); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_5_libs_6tslibs_6period_calc_week_end(int, int); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period_period_ordinal(int, int, int, int, int, int, int, int, int, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period_period_ordinal_to_dt64(__pyx_t_5numpy_int64_t, int, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5_libs_6tslibs_6period__period_strftime(__pyx_t_5numpy_int64_t, int, PyObject *); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pyear(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pqyear(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pquarter(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pmonth(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pday(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pweekday(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pday_of_year(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pweek(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_phour(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pminute(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_psecond(__pyx_t_5numpy_int64_t, int); /*proto*/
static int __pyx_f_6pandas_5_libs_6tslibs_6period_pdays_in_month(__pyx_t_5numpy_int64_t, int); /*proto*/
static __pyx_t_6pandas_5_libs_6tslibs_6period_accessor __pyx_f_6pandas_5_libs_6tslibs_6period__get_accessor_func(int); /*proto*/
static PyArrayObject *__pyx_f_6pandas_5_libs_6tslibs_6period_localize_dt64arr_to_period(PyArrayObject *, int, PyObject *); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period__ordinal_from_fields(PyObject *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *); /*proto*/
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 };
#define __Pyx_MODULE_NAME "pandas._libs.tslibs.period"
extern int __pyx_module_is_main_pandas___libs__tslibs__period;
int __pyx_module_is_main_pandas___libs__tslibs__period = 0;

/* Implementation of 'pandas._libs.tslibs.period' */
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_NotImplemented;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_IndexError;
static const char __pyx_k_E[] = "E";
static const char __pyx_k_F[] = "%F";
static const char __pyx_k_S[] = "S";
static const char __pyx_k_Y[] = "%Y";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_f[] = "%f";
static const char __pyx_k_h[] = "h";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_l[] = "l";
static const char __pyx_k_m[] = "m";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_p[] = "p";
static const char __pyx_k_q[] = "%q";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_u[] = "%u";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_2d[] = "%.2d";
static const char __pyx_k_AB[] = "^`AB`^";
static const char __pyx_k_CD[] = "^`CD`^";
static const char __pyx_k_EF[] = "^`EF`^";
static const char __pyx_k_GH[] = "^`GH`^";
static const char __pyx_k_IJ[] = "^`IJ`^";
static const char __pyx_k_KL[] = "^`KL`^";
static const char __pyx_k_dt[] = "dt";
static const char __pyx_k_i8[] = "i8";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_ps[] = "ps";
static const char __pyx_k_sz[] = "sz";
static const char __pyx_k_tz[] = "tz";
static const char __pyx_k_us[] = "us";
static const char __pyx_k_03d[] = "%03d";
static const char __pyx_k_06d[] = "%06d";
static const char __pyx_k_09d[] = "%09d";
static const char __pyx_k_END[] = "END";
static const char __pyx_k_NaT[] = "NaT";
static const char __pyx_k_PY2[] = "PY2";
static const char __pyx_k_Y_m[] = "%Y-%m";
static const char __pyx_k__50[] = "_";
static const char __pyx_k_any[] = "any";
static const char __pyx_k_arr[] = "arr";
static const char __pyx_k_cls[] = "cls";
static const char __pyx_k_d_2[] = "%d";
static const char __pyx_k_day[] = "day";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_dts[] = "dts";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_f_2[] = "f";
static const char __pyx_k_fmt[] = "fmt";
static const char __pyx_k_get[] = "get";
static const char __pyx_k_how[] = "how";
static const char __pyx_k_l_2[] = "%l";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_msg[] = "msg";
static const char __pyx_k_n_2[] = "%n";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_now[] = "now";
static const char __pyx_k_out[] = "out";
static const char __pyx_k_s_2[] = "%s";
static const char __pyx_k_s_s[] = "%s/%s";
static const char __pyx_k_sub[] = "__sub__";
static const char __pyx_k_typ[] = "_typ";
static const char __pyx_k_val[] = "val";
static const char __pyx_k_FQ_q[] = "%FQ%q";
static const char __pyx_k_Tick[] = "Tick";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_code[] = "code";
static const char __pyx_k_date[] = "date";
static const char __pyx_k_freq[] = "freq";
static const char __pyx_k_func[] = "func";
static const char __pyx_k_hour[] = "hour";
static const char __pyx_k_iNaT[] = "iNaT";
static const char __pyx_k_left[] = "left";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mask[] = "mask";
static const char __pyx_k_mnum[] = "mnum";
static const char __pyx_k_mult[] = "mult";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_pytz[] = "pytz";
static const char __pyx_k_reso[] = "reso";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_side[] = "side";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_year[] = "year";
static const char __pyx_k_BEGIN[] = "BEGIN";
static const char __pyx_k_START[] = "START";
static const char __pyx_k_Y_m_d[] = "%Y-%m-%d";
static const char __pyx_k_dtarr[] = "dtarr";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_freq1[] = "freq1";
static const char __pyx_k_freq2[] = "freq2";
static const char __pyx_k_int64[] = "int64";
static const char __pyx_k_month[] = "month";
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_right[] = "right";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_upper[] = "upper";
static const char __pyx_k_utf_8[] = "utf-8";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_FINISH[] = "FINISH";
static const char __pyx_k_Period[] = "Period";
static const char __pyx_k_asfreq[] = "asfreq";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_decode[] = "decode";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_ignore[] = "ignore";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_minute[] = "minute";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_period[] = "period";
static const char __pyx_k_result[] = "result";
static const char __pyx_k_second[] = "second";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_af_info[] = "af_info";
static const char __pyx_k_freqstr[] = "freqstr";
static const char __pyx_k_nattype[] = "nattype";
static const char __pyx_k_offsets[] = "offsets";
static const char __pyx_k_ordinal[] = "ordinal";
static const char __pyx_k_parsing[] = "parsing";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_quarter[] = "quarter";
static const char __pyx_k_replace[] = "replace";
static const char __pyx_k_unicode[] = "__unicode__";
static const char __pyx_k_KeyError[] = "KeyError";
static const char __pyx_k_datetime[] = "datetime";
static const char __pyx_k_dateutil[] = "dateutil";
static const char __pyx_k_get_freq[] = "get_freq";
static const char __pyx_k_how_dict[] = "how_dict";
static const char __pyx_k_ordinals[] = "ordinals";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_Timestamp[] = "Timestamp";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_Y_m_d_H_M[] = "%Y-%m-%d %H:%M";
static const char __pyx_k_add_delta[] = "_add_delta";
static const char __pyx_k_ccalendar[] = "ccalendar";
static const char __pyx_k_converted[] = "converted";
static const char __pyx_k_dayofweek[] = "dayofweek";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_periodarr[] = "periodarr";
static const char __pyx_k_rule_code[] = "rule_code";
static const char __pyx_k_timedelta[] = "timedelta";
static const char __pyx_k_to_offset[] = "to_offset";
static const char __pyx_k_DateOffset[] = "DateOffset";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_Period_s_s[] = "Period('%s', '%s')";
static const char __pyx_k_Resolution[] = "Resolution";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_Y_m_d_H_00[] = "%Y-%m-%d %H:00";
static const char __pyx_k_freq_group[] = "freq_group";
static const char __pyx_k_resolution[] = "resolution";
static const char __pyx_k_start_time[] = "start_time";
static const char __pyx_k_timestamps[] = "timestamps";
static const char __pyx_k_weekofyear[] = "weekofyear";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_Y_m_d_H_M_S[] = "%Y-%m-%d %H:%M:%S";
static const char __pyx_k_frequencies[] = "frequencies";
static const char __pyx_k_microsecond[] = "microsecond";
static const char __pyx_k_nat_strings[] = "nat_strings";
static const char __pyx_k_periodindex[] = "periodindex";
static const char __pyx_k_timedelta64[] = "timedelta64";
static const char __pyx_k_NAT_SENTINEL[] = "NAT_SENTINEL";
static const char __pyx_k_Period___new[] = "Period.__new__";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_extract_freq[] = "extract_freq";
static const char __pyx_k_from_ordinal[] = "_from_ordinal";
static const char __pyx_k_searchsorted[] = "searchsorted";
static const char __pyx_k_to_timestamp[] = "to_timestamp";
static const char __pyx_k_MONTH_NUMBERS[] = "MONTH_NUMBERS";
static const char __pyx_k_Y_m_d_H_M_S_l[] = "%Y-%m-%d %H:%M:%S.%l";
static const char __pyx_k_Y_m_d_H_M_S_n[] = "%Y-%m-%d %H:%M:%S.%n";
static const char __pyx_k_Y_m_d_H_M_S_u[] = "%Y-%m-%d %H:%M:%S.%u";
static const char __pyx_k_days_in_month[] = "days_in_month";
static const char __pyx_k_pandas_compat[] = "pandas.compat";
static const char __pyx_k_period_format[] = "period_format";
static const char __pyx_k_AttributeError[] = "AttributeError";
static const char __pyx_k_DIFFERENT_FREQ[] = "_DIFFERENT_FREQ";
static const char __pyx_k_NotImplemented[] = "NotImplemented";
static const char __pyx_k_Unknown_freq_d[] = "Unknown freq: %d";
static const char __pyx_k_pandas_tseries[] = "pandas.tseries";
static const char __pyx_k_extract_ordinals[] = "extract_ordinals";
static const char __pyx_k_quarter_to_myear[] = "_quarter_to_myear";
static const char __pyx_k_parse_time_string[] = "parse_time_string";
static const char __pyx_k_period_asfreq_arr[] = "period_asfreq_arr";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_maybe_convert_freq[] = "_maybe_convert_freq";
static const char __pyx_k_validate_end_alias[] = "_validate_end_alias";
static const char __pyx_k_index_out_of_bounds[] = "index out of bounds";
static const char __pyx_k_DIFFERENT_FREQ_INDEX[] = "_DIFFERENT_FREQ_INDEX";
static const char __pyx_k_dt64arr_to_periodarr[] = "dt64arr_to_periodarr";
static const char __pyx_k_get_period_field_arr[] = "get_period_field_arr";
static const char __pyx_k_periodarr_to_dt64arr[] = "periodarr_to_dt64arr";
static const char __pyx_k_IncompatibleFrequency[] = "IncompatibleFrequency";
static const char __pyx_k_Quarter_must_be_1_q_4[] = "Quarter must be 1 <= q <= 4";
static const char __pyx_k_How_must_be_one_of_S_or_E[] = "How must be one of S or E";
static const char __pyx_k_Period_strftime_line_1563[] = "_Period.strftime (line 1563)";
static const char __pyx_k_Ordinal_must_be_an_integer[] = "Ordinal must be an integer";
static const char __pyx_k_Unrecognized_period_code_d[] = "Unrecognized period code: %d";
static const char __pyx_k_pandas__libs_tslibs_period[] = "pandas._libs.tslibs.period";
static const char __pyx_k_Frequency_conversion_failed[] = "Frequency conversion failed";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_Period_day___get___line_1245[] = "_Period.day.__get__ (line 1245)";
static const char __pyx_k_Period_hour___get___line_1269[] = "_Period.hour.__get__ (line 1269)";
static const char __pyx_k_Period_week___get___line_1352[] = "_Period.week.__get__ (line 1352)";
static const char __pyx_k_Period_start_time___get___line[] = "_Period.start_time.__get__ (line 1166)";
static const char __pyx_k_Unable_to_get_quarter_and_year[] = "Unable to get quarter and year";
static const char __pyx_k_pandas__libs_tslibs_period_pyx[] = "pandas/_libs/tslibs/period.pyx";
static const char __pyx_k_Cannot_compare_type_r_with_type[] = "Cannot compare type %r with type %r";
static const char __pyx_k_Get_day_of_the_month_that_a_Per[] = "\n        Get day of the month that a Period falls on.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.dayofweek : Get the day of the week\n\n        Period.dayofyear : Get the day of the year\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11\", freq='H')\n        >>> p.day\n        11\n        ";
static const char __pyx_k_Get_minute_of_the_hour_componen[] = "\n        Get minute of the hour component of the Period.\n\n        Returns\n        -------\n        int\n            The minute as an integer, between 0 and 59.\n\n        See Also\n        --------\n        Period.hour : Get the hour component of the Period.\n        Period.second : Get the second component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11 13:03:12.050000\")\n        >>> p.minute\n        3\n        ";
static const char __pyx_k_Get_the_Timestamp_for_the_start[] = "\n        Get the Timestamp for the start of the period.\n\n        Returns\n        -------\n        Timestamp\n\n        See also\n        --------\n        Period.end_time : Return the end Timestamp.\n        Period.dayofyear : Return the day of year.\n        Period.daysinmonth : Return the days in that month.\n        Period.dayofweek : Return the day of the week.\n\n        Examples\n        --------\n        >>> period = pd.Period('2012-1-1', freq='D')\n        >>> period\n        Period('2012-01-01', 'D')\n\n        >>> period.start_time\n        Timestamp('2012-01-01 00:00:00')\n\n        >>> period.end_time\n        Timestamp('2012-01-01 23:59:59.999999999')\n        ";
static const char __pyx_k_Get_the_hour_of_the_day_compone[] = "\n        Get the hour of the day component of the Period.\n\n        Returns\n        -------\n        int\n            The hour as an integer, between 0 and 23.\n\n        See Also\n        --------\n        Period.second : Get the second component of the Period.\n        Period.minute : Get the minute component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11 13:03:12.050000\")\n        >>> p.hour\n        13\n\n        Period longer than a day\n\n        >>> p = pd.Period(\"2018-03-11\", freq=\"M\")\n        >>> p.hour\n        0\n        ";
static const char __pyx_k_Get_the_second_component_of_the[] = "\n        Get the second component of the Period.\n\n        Returns\n        -------\n        int\n            The second of the Period (ranges from 0 to 59).\n\n        See Also\n        --------\n        Period.hour : Get the hour component of the Period.\n        Period.minute : Get the minute component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11 13:03:12.050000\")\n        >>> p.second\n        12\n        ";
static const char __pyx_k_Get_the_total_number_of_days_in[] = "\n        Get the total number of days in the month that this period falls on.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.daysinmonth : Gets the number of days in the month.\n        DatetimeIndex.daysinmonth : Gets the number of days in the month.\n        calendar.monthrange : Returns a tuple containing weekday\n            (0-6 ~ Mon-Sun) and number of days (28-31).\n\n        Examples\n        --------\n        >>> p = pd.Period('2018-2-17')\n        >>> p.days_in_month\n        28\n\n        >>> pd.Period('2018-03-01').days_in_month\n        31\n\n        Handles the leap year case as well:\n\n        >>> p = pd.Period('2016-2-17')\n        >>> p.days_in_month\n        29\n        ";
static const char __pyx_k_Get_the_total_number_of_days_of[] = "\n        Get the total number of days of the month that the Period falls in.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.days_in_month : Return the days of the month\n        Period.dayofyear : Return the day of the year\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11\", freq='H')\n        >>> p.daysinmonth\n        31\n        ";
static const char __pyx_k_Get_the_week_of_the_year_on_the[] = "\n        Get the week of the year on the given Period.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.dayofweek : Get the day component of the Period.\n        Period.weekday : Get the day component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11\", \"H\")\n        >>> p.week\n        10\n\n        >>> p = pd.Period(\"2018-02-01\", \"D\")\n        >>> p.week\n        5\n\n        >>> p = pd.Period(\"2018-01-06\", \"D\")\n        >>> p.week\n        1\n        ";
static const char __pyx_k_If_value_is_None_freq_cannot_be[] = "If value is None, freq cannot be None";
static const char __pyx_k_Input_has_different_freq_1_from[] = "Input has different freq={1} from Period(freq={0})";
static const char __pyx_k_Period_dayofweek___get___line_1[] = "_Period.dayofweek.__get__ (line 1382)";
static const char __pyx_k_Period_dayofyear___get___line_1[] = "_Period.dayofyear.__get__ (line 1422)";
static const char __pyx_k_Period_days_in_month___get___li[] = "_Period.days_in_month.__get__ (line 1467)";
static const char __pyx_k_Period_daysinmonth___get___line[] = "_Period.daysinmonth.__get__ (line 1501)";
static const char __pyx_k_Period_minute___get___line_1299[] = "_Period.minute.__get__ (line 1299)";
static const char __pyx_k_Period_second___get___line_1323[] = "_Period.second.__get__ (line 1323)";
static const char __pyx_k_Represents_a_period_of_time_Par[] = "\n    Represents a period of time\n\n    Parameters\n    ----------\n    value : Period or compat.string_types, default None\n        The time period represented (e.g., '4Q2005')\n    freq : str, default None\n        One of pandas period strings or corresponding objects\n    year : int, default None\n    month : int, default 1\n    quarter : int, default None\n    day : int, default 1\n    hour : int, default 0\n    minute : int, default 0\n    second : int, default 0\n    ";
static const char __pyx_k_Return_the_day_of_the_week_This[] = "\n        Return the day of the week.\n\n        This attribute returns the day of the week on which the particular\n        date for the given period occurs depending on the frequency with\n        Monday=0, Sunday=6.\n\n        Returns\n        -------\n        Int\n            Range from 0 to 6 (included).\n\n        See also\n        --------\n        Period.dayofyear : Return the day of the year.\n        Period.daysinmonth : Return the number of days in that month.\n\n        Examples\n        --------\n        >>> period1 = pd.Period('2012-1-1 19:00', freq='H')\n        >>> period1\n        Period('2012-01-01 19:00', 'H')\n        >>> period1.dayofweek\n        6\n\n        >>> period2 = pd.Period('2013-1-9 11:00', freq='H')\n        >>> period2\n        Period('2013-01-09 11:00', 'H')\n        >>> period2.dayofweek\n        2\n        ";
static const char __pyx_k_Return_the_day_of_the_year_This[] = "\n        Return the day of the year.\n\n        This attribute returns the day of the year on which the particular\n        date occurs. The return value ranges between 1 to 365 for regular\n        years and 1 to 366 for leap years.\n\n        Returns\n        -------\n        int\n            The day of year.\n\n        See Also\n        --------\n        Period.day : Return the day of the month.\n        Period.dayofweek : Return the day of week.\n        PeriodIndex.dayofyear : Return the day of year of all indexes.\n\n        Examples\n        --------\n        >>> period = pd.Period(\"2015-10-23\", freq='H')\n        >>> period.dayofyear\n        296\n        >>> period = pd.Period(\"2012-12-31\", freq='D')\n        >>> period.dayofyear\n        366\n        >>> period = pd.Period(\"2013-01-01\", freq='D')\n        >>> period.dayofyear\n        1\n        ";
static const char __pyx_k_Returns_the_string_representati[] = "\n        Returns the string representation of the :class:`Period`, depending\n        on the selected ``fmt``. ``fmt`` must be a string\n        containing one or several directives.  The method recognizes the same\n        directives as the :func:`time.strftime` function of the standard Python\n        distribution, as well as the specific additional directives ``%f``,\n        ``%F``, ``%q``. (formatting & docs originally from scikits.timeries)\n\n        +-----------+--------------------------------+-------+\n        | Directive | Meaning                        | Notes |\n        +===========+================================+=======+\n        | ``%a``    | Locale's abbreviated weekday   |       |\n        |           | name.                          |       |\n        +-----------+--------------------------------+-------+\n        | ``%A``    | Locale's full weekday name.    |       |\n        +-----------+--------------------------------+-------+\n        | ``%b``    | Locale's abbreviated month     |       |\n        |           | name.                          |       |\n        +-----------+--------------------------------+-------+\n        | ``%B``    | Locale's full month name.      |       |\n        +-----------+--------------------------------+-------+\n        | ``%c``    | Locale's appropriate date and  |       |\n        |           | time representation.           |       |\n        +-----------+--------------------------------+-------+\n        | ``%d``    | Day of the month as a decimal  |       |\n        |           | number [01,31].                |       |\n        +-----------+--------------------------------+-------+\n        | ``%f``    | 'Fiscal' year without a        | \\(1)  |\n        |           | century  as a decimal number   |       |\n        |           | [00,99]                        |       |\n        +-----------+--------------------------------+-------+\n        | ``%F``    | 'Fiscal' year with a century   | \\(2)  |\n       "" |           | as a decimal number            |       |\n        +-----------+--------------------------------+-------+\n        | ``%H``    | Hour (24-hour clock) as a      |       |\n        |           | decimal number [00,23].        |       |\n        +-----------+--------------------------------+-------+\n        | ``%I``    | Hour (12-hour clock) as a      |       |\n        |           | decimal number [01,12].        |       |\n        +-----------+--------------------------------+-------+\n        | ``%j``    | Day of the year as a decimal   |       |\n        |           | number [001,366].              |       |\n        +-----------+--------------------------------+-------+\n        | ``%m``    | Month as a decimal number      |       |\n        |           | [01,12].                       |       |\n        +-----------+--------------------------------+-------+\n        | ``%M``    | Minute as a decimal number     |       |\n        |           | [00,59].                       |       |\n        +-----------+--------------------------------+-------+\n        | ``%p``    | Locale's equivalent of either  | \\(3)  |\n        |           | AM or PM.                      |       |\n        +-----------+--------------------------------+-------+\n        | ``%q``    | Quarter as a decimal number    |       |\n        |           | [01,04]                        |       |\n        +-----------+--------------------------------+-------+\n        | ``%S``    | Second as a decimal number     | \\(4)  |\n        |           | [00,61].                       |       |\n        +-----------+--------------------------------+-------+\n        | ``%U``    | Week number of the year        | \\(5)  |\n        |           | (Sunday as the first day of    |       |\n        |           | the week) as a decimal number  |       |\n        |           | [00,53].  All days in a new    |       |\n        |           | year preceding the first       |       |\n        |           ""| Sunday are considered to be in |       |\n        |           | week 0.                        |       |\n        +-----------+--------------------------------+-------+\n        | ``%w``    | Weekday as a decimal number    |       |\n        |           | [0(Sunday),6].                 |       |\n        +-----------+--------------------------------+-------+\n        | ``%W``    | Week number of the year        | \\(5)  |\n        |           | (Monday as the first day of    |       |\n        |           | the week) as a decimal number  |       |\n        |           | [00,53].  All days in a new    |       |\n        |           | year preceding the first       |       |\n        |           | Monday are considered to be in |       |\n        |           | week 0.                        |       |\n        +-----------+--------------------------------+-------+\n        | ``%x``    | Locale's appropriate date      |       |\n        |           | representation.                |       |\n        +-----------+--------------------------------+-------+\n        | ``%X``    | Locale's appropriate time      |       |\n        |           | representation.                |       |\n        +-----------+--------------------------------+-------+\n        | ``%y``    | Year without century as a      |       |\n        |           | decimal number [00,99].        |       |\n        +-----------+--------------------------------+-------+\n        | ``%Y``    | Year with century as a decimal |       |\n        |           | number.                        |       |\n        +-----------+--------------------------------+-------+\n        | ``%Z``    | Time zone name (no characters  |       |\n        |           | if no time zone exists).       |       |\n        +-----------+--------------------------------+-------+\n        | ``%%``    | A literal ``'%'`` character.   |       |\n        +-----------+--------------------------------+-------+\n\n        Notes\n        -----\n""\n        (1)\n            The ``%f`` directive is the same as ``%y`` if the frequency is\n            not quarterly.\n            Otherwise, it corresponds to the 'fiscal' year, as defined by\n            the :attr:`qyear` attribute.\n\n        (2)\n            The ``%F`` directive is the same as ``%Y`` if the frequency is\n            not quarterly.\n            Otherwise, it corresponds to the 'fiscal' year, as defined by\n            the :attr:`qyear` attribute.\n\n        (3)\n            The ``%p`` directive only affects the output hour field\n            if the ``%I`` directive is used to parse the hour.\n\n        (4)\n            The range really is ``0`` to ``61``; this accounts for leap\n            seconds and the (very rare) double leap seconds.\n\n        (5)\n            The ``%U`` and ``%W`` directives are only used in calculations\n            when the day of the week and the year are specified.\n\n        Examples\n        --------\n\n        >>> a = Period(freq='Q-JUL', year=2006, quarter=1)\n        >>> a.strftime('%F-Q%q')\n        '2006-Q1'\n        >>> # Output the last month in the quarter of this date\n        >>> a.strftime('%b-%Y')\n        'Oct-2005'\n        >>>\n        >>> a = Period(freq='D', year=2001, month=1, day=1)\n        >>> a.strftime('%d-%b-%Y')\n        '01-Jan-2006'\n        >>> a.strftime('%b. %d, %Y was a %A')\n        'Jan. 01, 2001 was a Monday'\n        ";
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_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_Frequency_must_be_positive_becau[] = "Frequency must be positive, because it represents span: {0}";
static const char __pyx_k_Input_cannot_be_converted_to_Per[] = "Input cannot be converted to Period(freq={0})";
static const char __pyx_k_Invalid_frequency_or_could_not_i[] = "Invalid frequency or could not infer: %s";
static const char __pyx_k_Must_supply_freq_for_datetime_va[] = "Must supply freq for datetime value";
static const char __pyx_k_Must_supply_freq_for_ordinal_val[] = "Must supply freq for ordinal value";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Only_value_or_ordinal_but_not_bo[] = "Only value or ordinal but not both should be given but not both";
static const char __pyx_k_Unable_to_convert_to_desired_fre[] = "Unable to convert to desired frequency.";
static const char __pyx_k_Value_must_be_Period_string_inte[] = "Value must be Period, string, integer, or datetime";
static const char __pyx_k_assignment_destination_is_read_o[] = "assignment destination is read-only";
static const char __pyx_k_freq_not_specified_and_cannot_be[] = "freq not specified and cannot be inferred";
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_unsupported_operand_type_s_for_s[] = "unsupported operand type(s) for +: '{self}' and '{other}'";
static const char __pyx_k_Input_has_different_freq_1_from_2[] = "Input has different freq={1} from PeriodIndex(freq={0})";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_s_03d;
static PyObject *__pyx_kp_s_06d;
static PyObject *__pyx_kp_s_09d;
static PyObject *__pyx_kp_s_2d;
static PyObject *__pyx_kp_b_AB;
static PyObject *__pyx_kp_s_AB;
static PyObject *__pyx_n_s_AttributeError;
static PyObject *__pyx_n_s_BEGIN;
static PyObject *__pyx_kp_b_CD;
static PyObject *__pyx_kp_s_CD;
static PyObject *__pyx_kp_s_Cannot_compare_type_r_with_type;
static PyObject *__pyx_n_s_DIFFERENT_FREQ;
static PyObject *__pyx_n_s_DIFFERENT_FREQ_INDEX;
static PyObject *__pyx_n_s_DateOffset;
static PyObject *__pyx_n_s_E;
static PyObject *__pyx_kp_b_EF;
static PyObject *__pyx_kp_s_EF;
static PyObject *__pyx_n_s_END;
static PyObject *__pyx_kp_b_F;
static PyObject *__pyx_n_s_FINISH;
static PyObject *__pyx_kp_b_FQ_q;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_kp_s_Frequency_conversion_failed;
static PyObject *__pyx_kp_s_Frequency_must_be_positive_becau;
static PyObject *__pyx_kp_b_GH;
static PyObject *__pyx_kp_s_GH;
static PyObject *__pyx_kp_u_Get_day_of_the_month_that_a_Per;
static PyObject *__pyx_kp_u_Get_minute_of_the_hour_componen;
static PyObject *__pyx_kp_u_Get_the_Timestamp_for_the_start;
static PyObject *__pyx_kp_u_Get_the_hour_of_the_day_compone;
static PyObject *__pyx_kp_u_Get_the_second_component_of_the;
static PyObject *__pyx_kp_u_Get_the_total_number_of_days_in;
static PyObject *__pyx_kp_u_Get_the_total_number_of_days_of;
static PyObject *__pyx_kp_u_Get_the_week_of_the_year_on_the;
static PyObject *__pyx_kp_s_How_must_be_one_of_S_or_E;
static PyObject *__pyx_kp_b_IJ;
static PyObject *__pyx_kp_s_IJ;
static PyObject *__pyx_kp_s_If_value_is_None_freq_cannot_be;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_n_s_IncompatibleFrequency;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Input_cannot_be_converted_to_Per;
static PyObject *__pyx_kp_s_Input_has_different_freq_1_from;
static PyObject *__pyx_kp_s_Input_has_different_freq_1_from_2;
static PyObject *__pyx_kp_s_Invalid_frequency_or_could_not_i;
static PyObject *__pyx_kp_b_KL;
static PyObject *__pyx_kp_s_KL;
static PyObject *__pyx_n_s_KeyError;
static PyObject *__pyx_n_s_MONTH_NUMBERS;
static PyObject *__pyx_kp_s_Must_supply_freq_for_datetime_va;
static PyObject *__pyx_kp_s_Must_supply_freq_for_ordinal_val;
static PyObject *__pyx_n_s_NAT_SENTINEL;
static PyObject *__pyx_n_s_NaT;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_NotImplemented;
static PyObject *__pyx_kp_s_Only_value_or_ordinal_but_not_bo;
static PyObject *__pyx_kp_s_Ordinal_must_be_an_integer;
static PyObject *__pyx_n_s_PY2;
static PyObject *__pyx_n_s_Period;
static PyObject *__pyx_n_s_Period___new;
static PyObject *__pyx_kp_u_Period_day___get___line_1245;
static PyObject *__pyx_kp_u_Period_dayofweek___get___line_1;
static PyObject *__pyx_kp_u_Period_dayofyear___get___line_1;
static PyObject *__pyx_kp_u_Period_days_in_month___get___li;
static PyObject *__pyx_kp_u_Period_daysinmonth___get___line;
static PyObject *__pyx_kp_u_Period_hour___get___line_1269;
static PyObject *__pyx_kp_u_Period_minute___get___line_1299;
static PyObject *__pyx_kp_s_Period_s_s;
static PyObject *__pyx_kp_u_Period_second___get___line_1323;
static PyObject *__pyx_kp_u_Period_start_time___get___line;
static PyObject *__pyx_kp_u_Period_strftime_line_1563;
static PyObject *__pyx_kp_u_Period_week___get___line_1352;
static PyObject *__pyx_kp_s_Quarter_must_be_1_q_4;
static PyObject *__pyx_kp_s_Represents_a_period_of_time_Par;
static PyObject *__pyx_n_s_Resolution;
static PyObject *__pyx_kp_u_Return_the_day_of_the_week_This;
static PyObject *__pyx_kp_u_Return_the_day_of_the_year_This;
static PyObject *__pyx_kp_u_Returns_the_string_representati;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_S;
static PyObject *__pyx_n_s_START;
static PyObject *__pyx_n_s_Tick;
static PyObject *__pyx_n_s_Timestamp;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Unable_to_convert_to_desired_fre;
static PyObject *__pyx_kp_s_Unable_to_get_quarter_and_year;
static PyObject *__pyx_kp_s_Unknown_freq_d;
static PyObject *__pyx_kp_s_Unrecognized_period_code_d;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_s_Value_must_be_Period_string_inte;
static PyObject *__pyx_kp_b_Y;
static PyObject *__pyx_kp_b_Y_m;
static PyObject *__pyx_kp_b_Y_m_d;
static PyObject *__pyx_kp_b_Y_m_d_H_00;
static PyObject *__pyx_kp_b_Y_m_d_H_M;
static PyObject *__pyx_kp_b_Y_m_d_H_M_S;
static PyObject *__pyx_kp_b_Y_m_d_H_M_S_l;
static PyObject *__pyx_kp_b_Y_m_d_H_M_S_n;
static PyObject *__pyx_kp_b_Y_m_d_H_M_S_u;
static PyObject *__pyx_n_s__50;
static PyObject *__pyx_n_s_add_delta;
static PyObject *__pyx_n_s_af_info;
static PyObject *__pyx_n_s_any;
static PyObject *__pyx_n_s_arr;
static PyObject *__pyx_n_s_asfreq;
static PyObject *__pyx_kp_s_assignment_destination_is_read_o;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_ccalendar;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_cls;
static PyObject *__pyx_n_s_code;
static PyObject *__pyx_n_s_converted;
static PyObject *__pyx_n_s_d;
static PyObject *__pyx_kp_s_d_2;
static PyObject *__pyx_n_s_date;
static PyObject *__pyx_n_s_datetime;
static PyObject *__pyx_n_s_dateutil;
static PyObject *__pyx_n_s_day;
static PyObject *__pyx_n_s_dayofweek;
static PyObject *__pyx_n_s_days_in_month;
static PyObject *__pyx_n_s_decode;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_dt;
static PyObject *__pyx_n_s_dt64arr_to_periodarr;
static PyObject *__pyx_n_s_dtarr;
static PyObject *__pyx_n_s_dts;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_n_s_extract_freq;
static PyObject *__pyx_n_s_extract_ordinals;
static PyObject *__pyx_kp_b_f;
static PyObject *__pyx_n_s_f_2;
static PyObject *__pyx_n_s_fmt;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_freq;
static PyObject *__pyx_n_s_freq1;
static PyObject *__pyx_n_s_freq2;
static PyObject *__pyx_n_s_freq_group;
static PyObject *__pyx_kp_s_freq_not_specified_and_cannot_be;
static PyObject *__pyx_n_s_freqstr;
static PyObject *__pyx_n_s_frequencies;
static PyObject *__pyx_n_s_from_ordinal;
static PyObject *__pyx_n_s_func;
static PyObject *__pyx_n_s_get;
static PyObject *__pyx_n_s_get_freq;
static PyObject *__pyx_n_s_get_period_field_arr;
static PyObject *__pyx_n_s_h;
static PyObject *__pyx_n_s_hour;
static PyObject *__pyx_n_s_how;
static PyObject *__pyx_n_s_how_dict;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_i8;
static PyObject *__pyx_n_s_iNaT;
static PyObject *__pyx_n_s_ignore;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_kp_s_index_out_of_bounds;
static PyObject *__pyx_n_s_int64;
static PyObject *__pyx_n_s_l;
static PyObject *__pyx_kp_b_l_2;
static PyObject *__pyx_n_s_left;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_mask;
static PyObject *__pyx_n_s_maybe_convert_freq;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_microsecond;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_minute;
static PyObject *__pyx_n_s_mnum;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_month;
static PyObject *__pyx_n_s_msg;
static PyObject *__pyx_n_s_mult;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_kp_b_n_2;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_nat_strings;
static PyObject *__pyx_n_s_nattype;
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_now;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_offsets;
static PyObject *__pyx_n_s_ordinal;
static PyObject *__pyx_n_s_ordinals;
static PyObject *__pyx_n_s_other;
static PyObject *__pyx_n_s_out;
static PyObject *__pyx_n_s_p;
static PyObject *__pyx_n_s_pandas__libs_tslibs_period;
static PyObject *__pyx_kp_s_pandas__libs_tslibs_period_pyx;
static PyObject *__pyx_n_s_pandas_compat;
static PyObject *__pyx_n_s_pandas_tseries;
static PyObject *__pyx_n_s_parse_time_string;
static PyObject *__pyx_n_s_parsing;
static PyObject *__pyx_n_s_period;
static PyObject *__pyx_n_s_period_asfreq_arr;
static PyObject *__pyx_n_s_period_format;
static PyObject *__pyx_n_s_periodarr;
static PyObject *__pyx_n_s_periodarr_to_dt64arr;
static PyObject *__pyx_n_s_periodindex;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_ps;
static PyObject *__pyx_n_s_pytz;
static PyObject *__pyx_kp_b_q;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_quarter;
static PyObject *__pyx_n_s_quarter_to_myear;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_replace;
static PyObject *__pyx_n_s_reso;
static PyObject *__pyx_n_s_resolution;
static PyObject *__pyx_n_s_result;
static PyObject *__pyx_n_s_right;
static PyObject *__pyx_n_s_rule_code;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_kp_s_s_2;
static PyObject *__pyx_kp_s_s_s;
static PyObject *__pyx_n_s_searchsorted;
static PyObject *__pyx_n_s_second;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_side;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_start_time;
static PyObject *__pyx_n_s_sub;
static PyObject *__pyx_n_s_sz;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_timedelta;
static PyObject *__pyx_n_s_timedelta64;
static PyObject *__pyx_n_s_timestamps;
static PyObject *__pyx_n_s_to_offset;
static PyObject *__pyx_n_s_to_timestamp;
static PyObject *__pyx_n_s_typ;
static PyObject *__pyx_n_s_tz;
static PyObject *__pyx_kp_b_u;
static PyObject *__pyx_n_s_unicode;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_kp_s_unsupported_operand_type_s_for_s;
static PyObject *__pyx_n_s_upper;
static PyObject *__pyx_n_s_us;
static PyObject *__pyx_kp_s_utf_8;
static PyObject *__pyx_n_s_val;
static PyObject *__pyx_n_s_validate_end_alias;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_weekofyear;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_year;
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_dt64arr_to_periodarr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_dtarr, int __pyx_v_freq, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_2periodarr_to_dt64arr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_periodarr, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_4period_asfreq(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_ordinal, int __pyx_v_freq1, int __pyx_v_freq2, int __pyx_v_end); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_6period_asfreq_arr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_arr, int __pyx_v_freq1, int __pyx_v_freq2, int __pyx_v_end); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_8period_ordinal(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_y, int __pyx_v_m, int __pyx_v_d, int __pyx_v_h, int __pyx_v_min, int __pyx_v_s, int __pyx_v_us, int __pyx_v_ps, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_10period_ordinal_to_dt64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_ordinal, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_12period_format(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_value, int __pyx_v_freq, PyObject *__pyx_v_fmt); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_14get_period_field_arr(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_code, PyArrayObject *__pyx_v_arr, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_16extract_ordinals(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_values, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_18extract_freq(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_values); /* proto */
static int __pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period___cinit__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self, PyObject *__pyx_v_ordinal, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_2_maybe_convert_freq(CYTHON_UNUSED PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_4_from_ordinal(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_ordinal, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_6__richcmp__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self, PyObject *__pyx_v_other, PyObject *__pyx_v_op); /* proto */
static Py_hash_t __pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_8__hash__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_10_add_delta(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_12__add__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_14__sub__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_16asfreq(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self, PyObject *__pyx_v_freq, PyObject *__pyx_v_how); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_10start_time___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_8end_time___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_18to_timestamp(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self, PyObject *__pyx_v_freq, PyObject *__pyx_v_how, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_4year___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_5month___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_3day___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_4hour___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_6minute___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_6second___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_10weekofyear___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_4week___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_9dayofweek___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_7weekday___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_9dayofyear___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_7quarter___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_5qyear___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_13days_in_month___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_11daysinmonth___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_12is_leap_year___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_20now(CYTHON_UNUSED PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_22__str__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_7freqstr___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_24__repr__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_26__unicode__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_28__setstate__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_30__reduce__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_32strftime(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self, PyObject *__pyx_v_fmt); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_7ordinal___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_7_Period_4freq___get__(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_6Period___new__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_value, PyObject *__pyx_v_freq, PyObject *__pyx_v_ordinal, PyObject *__pyx_v_year, PyObject *__pyx_v_month, PyObject *__pyx_v_quarter, PyObject *__pyx_v_day, PyObject *__pyx_v_hour, PyObject *__pyx_v_minute, PyObject *__pyx_v_second); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_20_quarter_to_myear(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_year, PyObject *__pyx_v_quarter, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5_libs_6tslibs_6period_22_validate_end_alias(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_how); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_tp_new_6pandas_5_libs_6tslibs_6period__Period(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_get = {0, &__pyx_n_s_get, 0, 0, 0};
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_4;
static PyObject *__pyx_int_12;
static PyObject *__pyx_int_6000;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__3;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__9;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__11;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__13;
static PyObject *__pyx_tuple__14;
static PyObject *__pyx_tuple__15;
static PyObject *__pyx_tuple__16;
static PyObject *__pyx_tuple__17;
static PyObject *__pyx_tuple__18;
static PyObject *__pyx_tuple__19;
static PyObject *__pyx_tuple__20;
static PyObject *__pyx_tuple__21;
static PyObject *__pyx_tuple__22;
static PyObject *__pyx_tuple__23;
static PyObject *__pyx_tuple__24;
static PyObject *__pyx_tuple__25;
static PyObject *__pyx_tuple__26;
static PyObject *__pyx_tuple__27;
static PyObject *__pyx_tuple__28;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__31;
static PyObject *__pyx_tuple__33;
static PyObject *__pyx_tuple__35;
static PyObject *__pyx_tuple__37;
static PyObject *__pyx_tuple__38;
static PyObject *__pyx_tuple__39;
static PyObject *__pyx_tuple__40;
static PyObject *__pyx_tuple__41;
static PyObject *__pyx_tuple__42;
static PyObject *__pyx_tuple__43;
static PyObject *__pyx_tuple__45;
static PyObject *__pyx_tuple__47;
static PyObject *__pyx_tuple__49;
static PyObject *__pyx_tuple__51;
static PyObject *__pyx_tuple__53;
static PyObject *__pyx_tuple__54;
static PyObject *__pyx_tuple__56;
static PyObject *__pyx_codeobj__30;
static PyObject *__pyx_codeobj__32;
static PyObject *__pyx_codeobj__34;
static PyObject *__pyx_codeobj__36;
static PyObject *__pyx_codeobj__44;
static PyObject *__pyx_codeobj__46;
static PyObject *__pyx_codeobj__48;
static PyObject *__pyx_codeobj__52;
static PyObject *__pyx_codeobj__55;
static PyObject *__pyx_codeobj__57;
/* Late includes */

/* "pandas/_libs/tslibs/period.pyx":94
 * 
 * @cython.cdivision
 * cdef char* c_strftime(pandas_datetimestruct *dts, char *fmt):             # <<<<<<<<<<<<<<
 *     """
 *     Generate a nice string representation of the period
 */

static char *__pyx_f_6pandas_5_libs_6tslibs_6period_c_strftime(pandas_datetimestruct *__pyx_v_dts, char *__pyx_v_fmt) {
  struct tm __pyx_v_c_date;
  char *__pyx_v_result;
  int __pyx_v_result_len;
  char *__pyx_r;
  __Pyx_RefNannyDeclarations
  __pyx_t_5numpy_int32_t __pyx_t_1;
  __Pyx_RefNannySetupContext("c_strftime", 0);

  /* "pandas/_libs/tslibs/period.pyx":111
 *         tm c_date
 *         char *result
 *         int result_len = strlen(fmt) + 50             # <<<<<<<<<<<<<<
 * 
 *     c_date.tm_sec = dts.sec
 */
  __pyx_v_result_len = (strlen(__pyx_v_fmt) + 50);

  /* "pandas/_libs/tslibs/period.pyx":113
 *         int result_len = strlen(fmt) + 50
 * 
 *     c_date.tm_sec = dts.sec             # <<<<<<<<<<<<<<
 *     c_date.tm_min = dts.min
 *     c_date.tm_hour = dts.hour
 */
  __pyx_t_1 = __pyx_v_dts->sec;
  __pyx_v_c_date.tm_sec = __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":114
 * 
 *     c_date.tm_sec = dts.sec
 *     c_date.tm_min = dts.min             # <<<<<<<<<<<<<<
 *     c_date.tm_hour = dts.hour
 *     c_date.tm_mday = dts.day
 */
  __pyx_t_1 = __pyx_v_dts->min;
  __pyx_v_c_date.tm_min = __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":115
 *     c_date.tm_sec = dts.sec
 *     c_date.tm_min = dts.min
 *     c_date.tm_hour = dts.hour             # <<<<<<<<<<<<<<
 *     c_date.tm_mday = dts.day
 *     c_date.tm_mon = dts.month - 1
 */
  __pyx_t_1 = __pyx_v_dts->hour;
  __pyx_v_c_date.tm_hour = __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":116
 *     c_date.tm_min = dts.min
 *     c_date.tm_hour = dts.hour
 *     c_date.tm_mday = dts.day             # <<<<<<<<<<<<<<
 *     c_date.tm_mon = dts.month - 1
 *     c_date.tm_year = dts.year - 1900
 */
  __pyx_t_1 = __pyx_v_dts->day;
  __pyx_v_c_date.tm_mday = __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":117
 *     c_date.tm_hour = dts.hour
 *     c_date.tm_mday = dts.day
 *     c_date.tm_mon = dts.month - 1             # <<<<<<<<<<<<<<
 *     c_date.tm_year = dts.year - 1900
 *     c_date.tm_wday = (dayofweek(dts.year, dts.month, dts.day) + 1) % 7
 */
  __pyx_v_c_date.tm_mon = (__pyx_v_dts->month - 1);

  /* "pandas/_libs/tslibs/period.pyx":118
 *     c_date.tm_mday = dts.day
 *     c_date.tm_mon = dts.month - 1
 *     c_date.tm_year = dts.year - 1900             # <<<<<<<<<<<<<<
 *     c_date.tm_wday = (dayofweek(dts.year, dts.month, dts.day) + 1) % 7
 *     c_date.tm_yday = get_day_of_year(dts.year, dts.month, dts.day) - 1
 */
  __pyx_v_c_date.tm_year = (__pyx_v_dts->year - 0x76C);

  /* "pandas/_libs/tslibs/period.pyx":119
 *     c_date.tm_mon = dts.month - 1
 *     c_date.tm_year = dts.year - 1900
 *     c_date.tm_wday = (dayofweek(dts.year, dts.month, dts.day) + 1) % 7             # <<<<<<<<<<<<<<
 *     c_date.tm_yday = get_day_of_year(dts.year, dts.month, dts.day) - 1
 *     c_date.tm_isdst = -1
 */
  __pyx_v_c_date.tm_wday = ((__pyx_f_6pandas_5_libs_6tslibs_9ccalendar_dayofweek(__pyx_v_dts->year, __pyx_v_dts->month, __pyx_v_dts->day) + 1) % 7);

  /* "pandas/_libs/tslibs/period.pyx":120
 *     c_date.tm_year = dts.year - 1900
 *     c_date.tm_wday = (dayofweek(dts.year, dts.month, dts.day) + 1) % 7
 *     c_date.tm_yday = get_day_of_year(dts.year, dts.month, dts.day) - 1             # <<<<<<<<<<<<<<
 *     c_date.tm_isdst = -1
 * 
 */
  __pyx_v_c_date.tm_yday = (__pyx_f_6pandas_5_libs_6tslibs_9ccalendar_get_day_of_year(__pyx_v_dts->year, __pyx_v_dts->month, __pyx_v_dts->day, 0) - 1);

  /* "pandas/_libs/tslibs/period.pyx":121
 *     c_date.tm_wday = (dayofweek(dts.year, dts.month, dts.day) + 1) % 7
 *     c_date.tm_yday = get_day_of_year(dts.year, dts.month, dts.day) - 1
 *     c_date.tm_isdst = -1             # <<<<<<<<<<<<<<
 * 
 *     result = <char*>malloc(result_len * sizeof(char))
 */
  __pyx_v_c_date.tm_isdst = -1;

  /* "pandas/_libs/tslibs/period.pyx":123
 *     c_date.tm_isdst = -1
 * 
 *     result = <char*>malloc(result_len * sizeof(char))             # <<<<<<<<<<<<<<
 * 
 *     strftime(result, result_len, fmt, &c_date)
 */
  __pyx_v_result = ((char *)malloc((__pyx_v_result_len * (sizeof(char)))));

  /* "pandas/_libs/tslibs/period.pyx":125
 *     result = <char*>malloc(result_len * sizeof(char))
 * 
 *     strftime(result, result_len, fmt, &c_date)             # <<<<<<<<<<<<<<
 * 
 *     return result
 */
  (void)(strftime(__pyx_v_result, __pyx_v_result_len, __pyx_v_fmt, (&__pyx_v_c_date)));

  /* "pandas/_libs/tslibs/period.pyx":127
 *     strftime(result, result_len, fmt, &c_date)
 * 
 *     return result             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "pandas/_libs/tslibs/period.pyx":94
 * 
 * @cython.cdivision
 * cdef char* c_strftime(pandas_datetimestruct *dts, char *fmt):             # <<<<<<<<<<<<<<
 *     """
 *     Generate a nice string representation of the period
 */

  /* function exit code */
  __pyx_L0:;
  __Pyx_RefNannyFinishContext();
  return __pyx_r;
}

/* "pandas/_libs/tslibs/period.pyx":133
 * # Conversion between date_info and pandas_datetimestruct
 * 
 * cdef inline int get_freq_group(int freq) nogil:             # <<<<<<<<<<<<<<
 *     return (freq // 1000) * 1000
 * 
 */

static CYTHON_INLINE int __pyx_f_6pandas_5_libs_6tslibs_6period_get_freq_group(int __pyx_v_freq) {
  int __pyx_r;

  /* "pandas/_libs/tslibs/period.pyx":134
 * 
 * cdef inline int get_freq_group(int freq) nogil:
 *     return (freq // 1000) * 1000             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = (__Pyx_div_long(__pyx_v_freq, 0x3E8) * 0x3E8);
  goto __pyx_L0;

  /* "pandas/_libs/tslibs/period.pyx":133
 * # Conversion between date_info and pandas_datetimestruct
 * 
 * cdef inline int get_freq_group(int freq) nogil:             # <<<<<<<<<<<<<<
 *     return (freq // 1000) * 1000
 * 
 */

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

/* "pandas/_libs/tslibs/period.pyx":137
 * 
 * 
 * cdef inline int get_freq_group_index(int freq) nogil:             # <<<<<<<<<<<<<<
 *     return freq // 1000
 * 
 */

static CYTHON_INLINE int __pyx_f_6pandas_5_libs_6tslibs_6period_get_freq_group_index(int __pyx_v_freq) {
  int __pyx_r;

  /* "pandas/_libs/tslibs/period.pyx":138
 * 
 * cdef inline int get_freq_group_index(int freq) nogil:
 *     return freq // 1000             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __Pyx_div_long(__pyx_v_freq, 0x3E8);
  goto __pyx_L0;

  /* "pandas/_libs/tslibs/period.pyx":137
 * 
 * 
 * cdef inline int get_freq_group_index(int freq) nogil:             # <<<<<<<<<<<<<<
 *     return freq // 1000
 * 
 */

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

/* "pandas/_libs/tslibs/period.pyx":144
 * # incorrect dates GH#19643
 * @cython.cdivision(False)
 * cdef int64_t get_period_ordinal(pandas_datetimestruct *dts, int freq) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Generate an ordinal in period space
 */

static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period_get_period_ordinal(pandas_datetimestruct *__pyx_v_dts, int __pyx_v_freq) {
  __pyx_t_5numpy_int64_t __pyx_v_unix_date;
  __pyx_t_5numpy_int64_t __pyx_v_seconds;
  __pyx_t_5numpy_int64_t __pyx_v_delta;
  __pyx_t_5numpy_int64_t __pyx_v_weeks;
  __pyx_t_5numpy_int64_t __pyx_v_day_adj;
  int __pyx_v_freq_group;
  int __pyx_v_fmonth;
  int __pyx_v_mdiff;
  __pyx_t_5numpy_int64_t __pyx_r;
  int __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":163
 *         int freq_group, fmonth, mdiff
 * 
 *     freq_group = get_freq_group(freq)             # <<<<<<<<<<<<<<
 * 
 *     if freq_group == FR_ANN:
 */
  __pyx_v_freq_group = __pyx_f_6pandas_5_libs_6tslibs_6period_get_freq_group(__pyx_v_freq);

  /* "pandas/_libs/tslibs/period.pyx":165
 *     freq_group = get_freq_group(freq)
 * 
 *     if freq_group == FR_ANN:             # <<<<<<<<<<<<<<
 *         fmonth = freq - FR_ANN
 *         if fmonth == 0:
 */
  __pyx_t_1 = ((__pyx_v_freq_group == FR_ANN) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":166
 * 
 *     if freq_group == FR_ANN:
 *         fmonth = freq - FR_ANN             # <<<<<<<<<<<<<<
 *         if fmonth == 0:
 *             fmonth = 12
 */
    __pyx_v_fmonth = (__pyx_v_freq - FR_ANN);

    /* "pandas/_libs/tslibs/period.pyx":167
 *     if freq_group == FR_ANN:
 *         fmonth = freq - FR_ANN
 *         if fmonth == 0:             # <<<<<<<<<<<<<<
 *             fmonth = 12
 * 
 */
    __pyx_t_1 = ((__pyx_v_fmonth == 0) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":168
 *         fmonth = freq - FR_ANN
 *         if fmonth == 0:
 *             fmonth = 12             # <<<<<<<<<<<<<<
 * 
 *         mdiff = dts.month - fmonth
 */
      __pyx_v_fmonth = 12;

      /* "pandas/_libs/tslibs/period.pyx":167
 *     if freq_group == FR_ANN:
 *         fmonth = freq - FR_ANN
 *         if fmonth == 0:             # <<<<<<<<<<<<<<
 *             fmonth = 12
 * 
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":170
 *             fmonth = 12
 * 
 *         mdiff = dts.month - fmonth             # <<<<<<<<<<<<<<
 *         if mdiff <= 0:
 *             return dts.year - 1970
 */
    __pyx_v_mdiff = (__pyx_v_dts->month - __pyx_v_fmonth);

    /* "pandas/_libs/tslibs/period.pyx":171
 * 
 *         mdiff = dts.month - fmonth
 *         if mdiff <= 0:             # <<<<<<<<<<<<<<
 *             return dts.year - 1970
 *         else:
 */
    __pyx_t_1 = ((__pyx_v_mdiff <= 0) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":172
 *         mdiff = dts.month - fmonth
 *         if mdiff <= 0:
 *             return dts.year - 1970             # <<<<<<<<<<<<<<
 *         else:
 *             return dts.year - 1970 + 1
 */
      __pyx_r = (__pyx_v_dts->year - 0x7B2);
      goto __pyx_L0;

      /* "pandas/_libs/tslibs/period.pyx":171
 * 
 *         mdiff = dts.month - fmonth
 *         if mdiff <= 0:             # <<<<<<<<<<<<<<
 *             return dts.year - 1970
 *         else:
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":174
 *             return dts.year - 1970
 *         else:
 *             return dts.year - 1970 + 1             # <<<<<<<<<<<<<<
 * 
 *     elif freq_group == FR_QTR:
 */
    /*else*/ {
      __pyx_r = ((__pyx_v_dts->year - 0x7B2) + 1);
      goto __pyx_L0;
    }

    /* "pandas/_libs/tslibs/period.pyx":165
 *     freq_group = get_freq_group(freq)
 * 
 *     if freq_group == FR_ANN:             # <<<<<<<<<<<<<<
 *         fmonth = freq - FR_ANN
 *         if fmonth == 0:
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":176
 *             return dts.year - 1970 + 1
 * 
 *     elif freq_group == FR_QTR:             # <<<<<<<<<<<<<<
 *         fmonth = freq - FR_QTR
 *         if fmonth == 0:
 */
  __pyx_t_1 = ((__pyx_v_freq_group == FR_QTR) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":177
 * 
 *     elif freq_group == FR_QTR:
 *         fmonth = freq - FR_QTR             # <<<<<<<<<<<<<<
 *         if fmonth == 0:
 *             fmonth = 12
 */
    __pyx_v_fmonth = (__pyx_v_freq - FR_QTR);

    /* "pandas/_libs/tslibs/period.pyx":178
 *     elif freq_group == FR_QTR:
 *         fmonth = freq - FR_QTR
 *         if fmonth == 0:             # <<<<<<<<<<<<<<
 *             fmonth = 12
 * 
 */
    __pyx_t_1 = ((__pyx_v_fmonth == 0) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":179
 *         fmonth = freq - FR_QTR
 *         if fmonth == 0:
 *             fmonth = 12             # <<<<<<<<<<<<<<
 * 
 *         mdiff = dts.month - fmonth
 */
      __pyx_v_fmonth = 12;

      /* "pandas/_libs/tslibs/period.pyx":178
 *     elif freq_group == FR_QTR:
 *         fmonth = freq - FR_QTR
 *         if fmonth == 0:             # <<<<<<<<<<<<<<
 *             fmonth = 12
 * 
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":181
 *             fmonth = 12
 * 
 *         mdiff = dts.month - fmonth             # <<<<<<<<<<<<<<
 *         # TODO: Aren't the next two conditions equivalent to
 *         # unconditional incrementing?
 */
    __pyx_v_mdiff = (__pyx_v_dts->month - __pyx_v_fmonth);

    /* "pandas/_libs/tslibs/period.pyx":184
 *         # TODO: Aren't the next two conditions equivalent to
 *         # unconditional incrementing?
 *         if mdiff < 0:             # <<<<<<<<<<<<<<
 *             mdiff += 12
 *         if dts.month >= fmonth:
 */
    __pyx_t_1 = ((__pyx_v_mdiff < 0) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":185
 *         # unconditional incrementing?
 *         if mdiff < 0:
 *             mdiff += 12             # <<<<<<<<<<<<<<
 *         if dts.month >= fmonth:
 *             mdiff += 12
 */
      __pyx_v_mdiff = (__pyx_v_mdiff + 12);

      /* "pandas/_libs/tslibs/period.pyx":184
 *         # TODO: Aren't the next two conditions equivalent to
 *         # unconditional incrementing?
 *         if mdiff < 0:             # <<<<<<<<<<<<<<
 *             mdiff += 12
 *         if dts.month >= fmonth:
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":186
 *         if mdiff < 0:
 *             mdiff += 12
 *         if dts.month >= fmonth:             # <<<<<<<<<<<<<<
 *             mdiff += 12
 * 
 */
    __pyx_t_1 = ((__pyx_v_dts->month >= __pyx_v_fmonth) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":187
 *             mdiff += 12
 *         if dts.month >= fmonth:
 *             mdiff += 12             # <<<<<<<<<<<<<<
 * 
 *         return (dts.year - 1970) * 4 + (mdiff - 1) // 3
 */
      __pyx_v_mdiff = (__pyx_v_mdiff + 12);

      /* "pandas/_libs/tslibs/period.pyx":186
 *         if mdiff < 0:
 *             mdiff += 12
 *         if dts.month >= fmonth:             # <<<<<<<<<<<<<<
 *             mdiff += 12
 * 
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":189
 *             mdiff += 12
 * 
 *         return (dts.year - 1970) * 4 + (mdiff - 1) // 3             # <<<<<<<<<<<<<<
 * 
 *     elif freq == FR_MTH:
 */
    __pyx_r = (((__pyx_v_dts->year - 0x7B2) * 4) + __Pyx_div_long((__pyx_v_mdiff - 1), 3));
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":176
 *             return dts.year - 1970 + 1
 * 
 *     elif freq_group == FR_QTR:             # <<<<<<<<<<<<<<
 *         fmonth = freq - FR_QTR
 *         if fmonth == 0:
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":191
 *         return (dts.year - 1970) * 4 + (mdiff - 1) // 3
 * 
 *     elif freq == FR_MTH:             # <<<<<<<<<<<<<<
 *         return (dts.year - 1970) * 12 + dts.month - 1
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq == FR_MTH) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":192
 * 
 *     elif freq == FR_MTH:
 *         return (dts.year - 1970) * 12 + dts.month - 1             # <<<<<<<<<<<<<<
 * 
 *     unix_date = pandas_datetimestruct_to_datetime(PANDAS_FR_D, dts)
 */
    __pyx_r = ((((__pyx_v_dts->year - 0x7B2) * 12) + __pyx_v_dts->month) - 1);
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":191
 *         return (dts.year - 1970) * 4 + (mdiff - 1) // 3
 * 
 *     elif freq == FR_MTH:             # <<<<<<<<<<<<<<
 *         return (dts.year - 1970) * 12 + dts.month - 1
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":194
 *         return (dts.year - 1970) * 12 + dts.month - 1
 * 
 *     unix_date = pandas_datetimestruct_to_datetime(PANDAS_FR_D, dts)             # <<<<<<<<<<<<<<
 * 
 *     if freq >= FR_SEC:
 */
  __pyx_v_unix_date = pandas_datetimestruct_to_datetime(PANDAS_FR_D, __pyx_v_dts);

  /* "pandas/_libs/tslibs/period.pyx":196
 *     unix_date = pandas_datetimestruct_to_datetime(PANDAS_FR_D, dts)
 * 
 *     if freq >= FR_SEC:             # <<<<<<<<<<<<<<
 *         seconds = unix_date * 86400 + dts.hour * 3600 + dts.min * 60 + dts.sec
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq >= FR_SEC) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":197
 * 
 *     if freq >= FR_SEC:
 *         seconds = unix_date * 86400 + dts.hour * 3600 + dts.min * 60 + dts.sec             # <<<<<<<<<<<<<<
 * 
 *         if freq == FR_MS:
 */
    __pyx_v_seconds = ((((__pyx_v_unix_date * 0x15180) + (__pyx_v_dts->hour * 0xE10)) + (__pyx_v_dts->min * 60)) + __pyx_v_dts->sec);

    /* "pandas/_libs/tslibs/period.pyx":199
 *         seconds = unix_date * 86400 + dts.hour * 3600 + dts.min * 60 + dts.sec
 * 
 *         if freq == FR_MS:             # <<<<<<<<<<<<<<
 *             return seconds * 1000 + dts.us // 1000
 * 
 */
    __pyx_t_1 = ((__pyx_v_freq == FR_MS) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":200
 * 
 *         if freq == FR_MS:
 *             return seconds * 1000 + dts.us // 1000             # <<<<<<<<<<<<<<
 * 
 *         elif freq == FR_US:
 */
      __pyx_r = ((__pyx_v_seconds * 0x3E8) + __Pyx_div_long(__pyx_v_dts->us, 0x3E8));
      goto __pyx_L0;

      /* "pandas/_libs/tslibs/period.pyx":199
 *         seconds = unix_date * 86400 + dts.hour * 3600 + dts.min * 60 + dts.sec
 * 
 *         if freq == FR_MS:             # <<<<<<<<<<<<<<
 *             return seconds * 1000 + dts.us // 1000
 * 
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":202
 *             return seconds * 1000 + dts.us // 1000
 * 
 *         elif freq == FR_US:             # <<<<<<<<<<<<<<
 *             return seconds * 1000000 + dts.us
 * 
 */
    __pyx_t_1 = ((__pyx_v_freq == FR_US) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":203
 * 
 *         elif freq == FR_US:
 *             return seconds * 1000000 + dts.us             # <<<<<<<<<<<<<<
 * 
 *         elif freq == FR_NS:
 */
      __pyx_r = ((__pyx_v_seconds * 0xF4240) + __pyx_v_dts->us);
      goto __pyx_L0;

      /* "pandas/_libs/tslibs/period.pyx":202
 *             return seconds * 1000 + dts.us // 1000
 * 
 *         elif freq == FR_US:             # <<<<<<<<<<<<<<
 *             return seconds * 1000000 + dts.us
 * 
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":205
 *             return seconds * 1000000 + dts.us
 * 
 *         elif freq == FR_NS:             # <<<<<<<<<<<<<<
 *             return (seconds * 1000000000 +
 *                     dts.us * 1000 + dts.ps // 1000)
 */
    __pyx_t_1 = ((__pyx_v_freq == FR_NS) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":207
 *         elif freq == FR_NS:
 *             return (seconds * 1000000000 +
 *                     dts.us * 1000 + dts.ps // 1000)             # <<<<<<<<<<<<<<
 * 
 *         else:
 */
      __pyx_r = (((__pyx_v_seconds * 0x3B9ACA00) + (__pyx_v_dts->us * 0x3E8)) + __Pyx_div_long(__pyx_v_dts->ps, 0x3E8));
      goto __pyx_L0;

      /* "pandas/_libs/tslibs/period.pyx":205
 *             return seconds * 1000000 + dts.us
 * 
 *         elif freq == FR_NS:             # <<<<<<<<<<<<<<
 *             return (seconds * 1000000000 +
 *                     dts.us * 1000 + dts.ps // 1000)
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":210
 * 
 *         else:
 *             return seconds             # <<<<<<<<<<<<<<
 * 
 *     elif freq == FR_MIN:
 */
    /*else*/ {
      __pyx_r = __pyx_v_seconds;
      goto __pyx_L0;
    }

    /* "pandas/_libs/tslibs/period.pyx":196
 *     unix_date = pandas_datetimestruct_to_datetime(PANDAS_FR_D, dts)
 * 
 *     if freq >= FR_SEC:             # <<<<<<<<<<<<<<
 *         seconds = unix_date * 86400 + dts.hour * 3600 + dts.min * 60 + dts.sec
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":212
 *             return seconds
 * 
 *     elif freq == FR_MIN:             # <<<<<<<<<<<<<<
 *         return unix_date * 1440 + dts.hour * 60 + dts.min
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq == FR_MIN) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":213
 * 
 *     elif freq == FR_MIN:
 *         return unix_date * 1440 + dts.hour * 60 + dts.min             # <<<<<<<<<<<<<<
 * 
 *     elif freq == FR_HR:
 */
    __pyx_r = (((__pyx_v_unix_date * 0x5A0) + (__pyx_v_dts->hour * 60)) + __pyx_v_dts->min);
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":212
 *             return seconds
 * 
 *     elif freq == FR_MIN:             # <<<<<<<<<<<<<<
 *         return unix_date * 1440 + dts.hour * 60 + dts.min
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":215
 *         return unix_date * 1440 + dts.hour * 60 + dts.min
 * 
 *     elif freq == FR_HR:             # <<<<<<<<<<<<<<
 *         return unix_date * 24 + dts.hour
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq == FR_HR) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":216
 * 
 *     elif freq == FR_HR:
 *         return unix_date * 24 + dts.hour             # <<<<<<<<<<<<<<
 * 
 *     elif freq == FR_DAY:
 */
    __pyx_r = ((__pyx_v_unix_date * 24) + __pyx_v_dts->hour);
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":215
 *         return unix_date * 1440 + dts.hour * 60 + dts.min
 * 
 *     elif freq == FR_HR:             # <<<<<<<<<<<<<<
 *         return unix_date * 24 + dts.hour
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":218
 *         return unix_date * 24 + dts.hour
 * 
 *     elif freq == FR_DAY:             # <<<<<<<<<<<<<<
 *         return unix_date
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq == FR_DAY) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":219
 * 
 *     elif freq == FR_DAY:
 *         return unix_date             # <<<<<<<<<<<<<<
 * 
 *     elif freq == FR_UND:
 */
    __pyx_r = __pyx_v_unix_date;
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":218
 *         return unix_date * 24 + dts.hour
 * 
 *     elif freq == FR_DAY:             # <<<<<<<<<<<<<<
 *         return unix_date
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":221
 *         return unix_date
 * 
 *     elif freq == FR_UND:             # <<<<<<<<<<<<<<
 *         return unix_date
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq == FR_UND) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":222
 * 
 *     elif freq == FR_UND:
 *         return unix_date             # <<<<<<<<<<<<<<
 * 
 *     elif freq == FR_BUS:
 */
    __pyx_r = __pyx_v_unix_date;
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":221
 *         return unix_date
 * 
 *     elif freq == FR_UND:             # <<<<<<<<<<<<<<
 *         return unix_date
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":224
 *         return unix_date
 * 
 *     elif freq == FR_BUS:             # <<<<<<<<<<<<<<
 *         # calculate the current week (counting from 1970-01-01) treating
 *         # sunday as last day of a week
 */
  __pyx_t_1 = ((__pyx_v_freq == FR_BUS) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":227
 *         # calculate the current week (counting from 1970-01-01) treating
 *         # sunday as last day of a week
 *         weeks = (unix_date + 3) // 7             # <<<<<<<<<<<<<<
 *         # calculate the current weekday (in range 1 .. 7)
 *         delta = (unix_date + 3) % 7 + 1
 */
    __pyx_v_weeks = __Pyx_div___pyx_t_5numpy_int64_t((__pyx_v_unix_date + 3), 7);

    /* "pandas/_libs/tslibs/period.pyx":229
 *         weeks = (unix_date + 3) // 7
 *         # calculate the current weekday (in range 1 .. 7)
 *         delta = (unix_date + 3) % 7 + 1             # <<<<<<<<<<<<<<
 *         # return the number of business days in full weeks plus the business
 *         # days in the last - possible partial - week
 */
    __pyx_v_delta = (__Pyx_mod___pyx_t_5numpy_int64_t((__pyx_v_unix_date + 3), 7) + 1);

    /* "pandas/_libs/tslibs/period.pyx":232
 *         # return the number of business days in full weeks plus the business
 *         # days in the last - possible partial - week
 *         if delta <= 5:             # <<<<<<<<<<<<<<
 *             return (5 * weeks) + delta - 4
 *         else:
 */
    __pyx_t_1 = ((__pyx_v_delta <= 5) != 0);
    if (__pyx_t_1) {

      /* "pandas/_libs/tslibs/period.pyx":233
 *         # days in the last - possible partial - week
 *         if delta <= 5:
 *             return (5 * weeks) + delta - 4             # <<<<<<<<<<<<<<
 *         else:
 *             return (5 * weeks) + (5 + 1) - 4
 */
      __pyx_r = (((5 * __pyx_v_weeks) + __pyx_v_delta) - 4);
      goto __pyx_L0;

      /* "pandas/_libs/tslibs/period.pyx":232
 *         # return the number of business days in full weeks plus the business
 *         # days in the last - possible partial - week
 *         if delta <= 5:             # <<<<<<<<<<<<<<
 *             return (5 * weeks) + delta - 4
 *         else:
 */
    }

    /* "pandas/_libs/tslibs/period.pyx":235
 *             return (5 * weeks) + delta - 4
 *         else:
 *             return (5 * weeks) + (5 + 1) - 4             # <<<<<<<<<<<<<<
 * 
 *     elif freq_group == FR_WK:
 */
    /*else*/ {
      __pyx_r = (((5 * __pyx_v_weeks) + 6) - 4);
      goto __pyx_L0;
    }

    /* "pandas/_libs/tslibs/period.pyx":224
 *         return unix_date
 * 
 *     elif freq == FR_BUS:             # <<<<<<<<<<<<<<
 *         # calculate the current week (counting from 1970-01-01) treating
 *         # sunday as last day of a week
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":237
 *             return (5 * weeks) + (5 + 1) - 4
 * 
 *     elif freq_group == FR_WK:             # <<<<<<<<<<<<<<
 *         day_adj = freq - FR_WK
 *         return (unix_date + 3 - day_adj) // 7 + 1
 */
  __pyx_t_1 = ((__pyx_v_freq_group == FR_WK) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":238
 * 
 *     elif freq_group == FR_WK:
 *         day_adj = freq - FR_WK             # <<<<<<<<<<<<<<
 *         return (unix_date + 3 - day_adj) // 7 + 1
 * 
 */
    __pyx_v_day_adj = (__pyx_v_freq - FR_WK);

    /* "pandas/_libs/tslibs/period.pyx":239
 *     elif freq_group == FR_WK:
 *         day_adj = freq - FR_WK
 *         return (unix_date + 3 - day_adj) // 7 + 1             # <<<<<<<<<<<<<<
 * 
 *     # raise ValueError
 */
    __pyx_r = (__Pyx_div___pyx_t_5numpy_int64_t(((__pyx_v_unix_date + 3) - __pyx_v_day_adj), 7) + 1);
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":237
 *             return (5 * weeks) + (5 + 1) - 4
 * 
 *     elif freq_group == FR_WK:             # <<<<<<<<<<<<<<
 *         day_adj = freq - FR_WK
 *         return (unix_date + 3 - day_adj) // 7 + 1
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":144
 * # incorrect dates GH#19643
 * @cython.cdivision(False)
 * cdef int64_t get_period_ordinal(pandas_datetimestruct *dts, int freq) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Generate an ordinal in period space
 */

  /* function exit code */
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "pandas/_libs/tslibs/period.pyx":244
 * 
 * 
 * cdef void get_date_info(int64_t ordinal, int freq,             # <<<<<<<<<<<<<<
 *                         pandas_datetimestruct *dts) nogil:
 *     cdef:
 */

static void __pyx_f_6pandas_5_libs_6tslibs_6period_get_date_info(__pyx_t_5numpy_int64_t __pyx_v_ordinal, int __pyx_v_freq, pandas_datetimestruct *__pyx_v_dts) {
  __pyx_t_5numpy_int64_t __pyx_v_unix_date;
  double __pyx_v_abstime;
  int __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":250
 *         double abstime
 * 
 *     unix_date = get_unix_date(ordinal, freq)             # <<<<<<<<<<<<<<
 *     abstime = get_abs_time(freq, unix_date, ordinal)
 * 
 */
  __pyx_v_unix_date = __pyx_f_6pandas_5_libs_6tslibs_6period_get_unix_date(__pyx_v_ordinal, __pyx_v_freq);

  /* "pandas/_libs/tslibs/period.pyx":251
 * 
 *     unix_date = get_unix_date(ordinal, freq)
 *     abstime = get_abs_time(freq, unix_date, ordinal)             # <<<<<<<<<<<<<<
 * 
 *     while abstime < 0:
 */
  __pyx_v_abstime = __pyx_f_6pandas_5_libs_6tslibs_6period_get_abs_time(__pyx_v_freq, __pyx_v_unix_date, __pyx_v_ordinal);

  /* "pandas/_libs/tslibs/period.pyx":253
 *     abstime = get_abs_time(freq, unix_date, ordinal)
 * 
 *     while abstime < 0:             # <<<<<<<<<<<<<<
 *         abstime += 86400
 *         unix_date -= 1
 */
  while (1) {
    __pyx_t_1 = ((__pyx_v_abstime < 0.0) != 0);
    if (!__pyx_t_1) break;

    /* "pandas/_libs/tslibs/period.pyx":254
 * 
 *     while abstime < 0:
 *         abstime += 86400             # <<<<<<<<<<<<<<
 *         unix_date -= 1
 * 
 */
    __pyx_v_abstime = (__pyx_v_abstime + 86400.0);

    /* "pandas/_libs/tslibs/period.pyx":255
 *     while abstime < 0:
 *         abstime += 86400
 *         unix_date -= 1             # <<<<<<<<<<<<<<
 * 
 *     while abstime >= 86400:
 */
    __pyx_v_unix_date = (__pyx_v_unix_date - 1);
  }

  /* "pandas/_libs/tslibs/period.pyx":257
 *         unix_date -= 1
 * 
 *     while abstime >= 86400:             # <<<<<<<<<<<<<<
 *         abstime -= 86400
 *         unix_date += 1
 */
  while (1) {
    __pyx_t_1 = ((__pyx_v_abstime >= 86400.0) != 0);
    if (!__pyx_t_1) break;

    /* "pandas/_libs/tslibs/period.pyx":258
 * 
 *     while abstime >= 86400:
 *         abstime -= 86400             # <<<<<<<<<<<<<<
 *         unix_date += 1
 * 
 */
    __pyx_v_abstime = (__pyx_v_abstime - 86400.0);

    /* "pandas/_libs/tslibs/period.pyx":259
 *     while abstime >= 86400:
 *         abstime -= 86400
 *         unix_date += 1             # <<<<<<<<<<<<<<
 * 
 *     date_info_from_days_and_time(dts, unix_date, abstime)
 */
    __pyx_v_unix_date = (__pyx_v_unix_date + 1);
  }

  /* "pandas/_libs/tslibs/period.pyx":261
 *         unix_date += 1
 * 
 *     date_info_from_days_and_time(dts, unix_date, abstime)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_f_6pandas_5_libs_6tslibs_6period_date_info_from_days_and_time(__pyx_v_dts, __pyx_v_unix_date, __pyx_v_abstime);

  /* "pandas/_libs/tslibs/period.pyx":244
 * 
 * 
 * cdef void get_date_info(int64_t ordinal, int freq,             # <<<<<<<<<<<<<<
 *                         pandas_datetimestruct *dts) nogil:
 *     cdef:
 */

  /* function exit code */
}

/* "pandas/_libs/tslibs/period.pyx":264
 * 
 * 
 * cdef int64_t get_unix_date(int64_t period_ordinal, int freq) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Returns the proleptic Gregorian ordinal of the date, as an integer.
 */

static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5_libs_6tslibs_6period_get_unix_date(__pyx_t_5numpy_int64_t __pyx_v_period_ordinal, int __pyx_v_freq) {
  asfreq_info __pyx_v_af_info;
  freq_conv_func __pyx_v_toDaily;
  __pyx_t_5numpy_int64_t __pyx_r;
  int __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":282
 *     cdef:
 *         asfreq_info af_info
 *         freq_conv_func toDaily = NULL             # <<<<<<<<<<<<<<
 * 
 *     if freq == FR_DAY:
 */
  __pyx_v_toDaily = NULL;

  /* "pandas/_libs/tslibs/period.pyx":284
 *         freq_conv_func toDaily = NULL
 * 
 *     if freq == FR_DAY:             # <<<<<<<<<<<<<<
 *         return period_ordinal
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq == FR_DAY) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":285
 * 
 *     if freq == FR_DAY:
 *         return period_ordinal             # <<<<<<<<<<<<<<
 * 
 *     toDaily = get_asfreq_func(freq, FR_DAY)
 */
    __pyx_r = __pyx_v_period_ordinal;
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":284
 *         freq_conv_func toDaily = NULL
 * 
 *     if freq == FR_DAY:             # <<<<<<<<<<<<<<
 *         return period_ordinal
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":287
 *         return period_ordinal
 * 
 *     toDaily = get_asfreq_func(freq, FR_DAY)             # <<<<<<<<<<<<<<
 *     get_asfreq_info(freq, FR_DAY, True, &af_info)
 *     return toDaily(period_ordinal, &af_info)
 */
  __pyx_v_toDaily = get_asfreq_func(__pyx_v_freq, FR_DAY);

  /* "pandas/_libs/tslibs/period.pyx":288
 * 
 *     toDaily = get_asfreq_func(freq, FR_DAY)
 *     get_asfreq_info(freq, FR_DAY, True, &af_info)             # <<<<<<<<<<<<<<
 *     return toDaily(period_ordinal, &af_info)
 * 
 */
  __pyx_f_6pandas_5_libs_6tslibs_6period_get_asfreq_info(__pyx_v_freq, FR_DAY, 1, (&__pyx_v_af_info));

  /* "pandas/_libs/tslibs/period.pyx":289
 *     toDaily = get_asfreq_func(freq, FR_DAY)
 *     get_asfreq_info(freq, FR_DAY, True, &af_info)
 *     return toDaily(period_ordinal, &af_info)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_toDaily(__pyx_v_period_ordinal, (&__pyx_v_af_info));
  goto __pyx_L0;

  /* "pandas/_libs/tslibs/period.pyx":264
 * 
 * 
 * cdef int64_t get_unix_date(int64_t period_ordinal, int freq) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Returns the proleptic Gregorian ordinal of the date, as an integer.
 */

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

/* "pandas/_libs/tslibs/period.pyx":293
 * 
 * @cython.cdivision
 * cdef void date_info_from_days_and_time(pandas_datetimestruct *dts,             # <<<<<<<<<<<<<<
 *                                        int64_t unix_date,
 *                                        double abstime) nogil:
 */

static void __pyx_f_6pandas_5_libs_6tslibs_6period_date_info_from_days_and_time(pandas_datetimestruct *__pyx_v_dts, __pyx_t_5numpy_int64_t __pyx_v_unix_date, double __pyx_v_abstime) {
  int __pyx_v_inttime;
  int __pyx_v_hour;
  int __pyx_v_minute;
  double __pyx_v_second;
  double __pyx_v_subsecond_fraction;

  /* "pandas/_libs/tslibs/period.pyx":321
 * 
 *     # Calculate the date
 *     pandas_datetime_to_datetimestruct(unix_date, PANDAS_FR_D, dts)             # <<<<<<<<<<<<<<
 * 
 *     # Calculate the time
 */
  pandas_datetime_to_datetimestruct(__pyx_v_unix_date, PANDAS_FR_D, __pyx_v_dts);

  /* "pandas/_libs/tslibs/period.pyx":324
 * 
 *     # Calculate the time
 *     inttime = <int>abstime             # <<<<<<<<<<<<<<
 *     hour = inttime / 3600
 *     minute = (inttime % 3600) / 60
 */
  __pyx_v_inttime = ((int)__pyx_v_abstime);

  /* "pandas/_libs/tslibs/period.pyx":325
 *     # Calculate the time
 *     inttime = <int>abstime
 *     hour = inttime / 3600             # <<<<<<<<<<<<<<
 *     minute = (inttime % 3600) / 60
 *     second = abstime - <double>(hour * 3600 + minute * 60)
 */
  __pyx_v_hour = (__pyx_v_inttime / 0xE10);

  /* "pandas/_libs/tslibs/period.pyx":326
 *     inttime = <int>abstime
 *     hour = inttime / 3600
 *     minute = (inttime % 3600) / 60             # <<<<<<<<<<<<<<
 *     second = abstime - <double>(hour * 3600 + minute * 60)
 * 
 */
  __pyx_v_minute = ((__pyx_v_inttime % 0xE10) / 60);

  /* "pandas/_libs/tslibs/period.pyx":327
 *     hour = inttime / 3600
 *     minute = (inttime % 3600) / 60
 *     second = abstime - <double>(hour * 3600 + minute * 60)             # <<<<<<<<<<<<<<
 * 
 *     dts.hour = hour
 */
  __pyx_v_second = (__pyx_v_abstime - ((double)((__pyx_v_hour * 0xE10) + (__pyx_v_minute * 60))));

  /* "pandas/_libs/tslibs/period.pyx":329
 *     second = abstime - <double>(hour * 3600 + minute * 60)
 * 
 *     dts.hour = hour             # <<<<<<<<<<<<<<
 *     dts.min = minute
 *     dts.sec = <int>second
 */
  __pyx_v_dts->hour = __pyx_v_hour;

  /* "pandas/_libs/tslibs/period.pyx":330
 * 
 *     dts.hour = hour
 *     dts.min = minute             # <<<<<<<<<<<<<<
 *     dts.sec = <int>second
 * 
 */
  __pyx_v_dts->min = __pyx_v_minute;

  /* "pandas/_libs/tslibs/period.pyx":331
 *     dts.hour = hour
 *     dts.min = minute
 *     dts.sec = <int>second             # <<<<<<<<<<<<<<
 * 
 *     subsecond_fraction = second - dts.sec
 */
  __pyx_v_dts->sec = ((int)__pyx_v_second);

  /* "pandas/_libs/tslibs/period.pyx":333
 *     dts.sec = <int>second
 * 
 *     subsecond_fraction = second - dts.sec             # <<<<<<<<<<<<<<
 *     dts.us = int((subsecond_fraction) * 1e6)
 *     dts.ps = int(((subsecond_fraction) * 1e6 - dts.us) * 1e6)
 */
  __pyx_v_subsecond_fraction = (__pyx_v_second - __pyx_v_dts->sec);

  /* "pandas/_libs/tslibs/period.pyx":334
 * 
 *     subsecond_fraction = second - dts.sec
 *     dts.us = int((subsecond_fraction) * 1e6)             # <<<<<<<<<<<<<<
 *     dts.ps = int(((subsecond_fraction) * 1e6 - dts.us) * 1e6)
 * 
 */
  __pyx_v_dts->us = ((__pyx_t_5numpy_int32_t)(__pyx_v_subsecond_fraction * 1e6));

  /* "pandas/_libs/tslibs/period.pyx":335
 *     subsecond_fraction = second - dts.sec
 *     dts.us = int((subsecond_fraction) * 1e6)
 *     dts.ps = int(((subsecond_fraction) * 1e6 - dts.us) * 1e6)             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_v_dts->ps = ((__pyx_t_5numpy_int32_t)(((__pyx_v_subsecond_fraction * 1e6) - __pyx_v_dts->us) * 1e6));

  /* "pandas/_libs/tslibs/period.pyx":293
 * 
 * @cython.cdivision
 * cdef void date_info_from_days_and_time(pandas_datetimestruct *dts,             # <<<<<<<<<<<<<<
 *                                        int64_t unix_date,
 *                                        double abstime) nogil:
 */

  /* function exit code */
}

/* "pandas/_libs/tslibs/period.pyx":339
 * 
 * @cython.cdivision
 * cdef double get_abs_time(int freq, int64_t unix_date, int64_t ordinal) nogil:             # <<<<<<<<<<<<<<
 *     cdef:
 *         int freq_index, day_index, base_index
 */

static double __pyx_f_6pandas_5_libs_6tslibs_6period_get_abs_time(int __pyx_v_freq, __pyx_t_5numpy_int64_t __pyx_v_unix_date, __pyx_t_5numpy_int64_t __pyx_v_ordinal) {
  int __pyx_v_freq_index;
  int __pyx_v_day_index;
  int __pyx_v_base_index;
  __pyx_t_5numpy_int64_t __pyx_v_per_day;
  __pyx_t_5numpy_int64_t __pyx_v_start_ord;
  double __pyx_v_unit;
  double __pyx_v_result;
  double __pyx_r;
  int __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":345
 *         double unit, result
 * 
 *     if freq <= FR_DAY:             # <<<<<<<<<<<<<<
 *         return 0
 * 
 */
  __pyx_t_1 = ((__pyx_v_freq <= FR_DAY) != 0);
  if (__pyx_t_1) {

    /* "pandas/_libs/tslibs/period.pyx":346
 * 
 *     if freq <= FR_DAY:
 *         return 0             # <<<<<<<<<<<<<<
 * 
 *     freq_index = freq // 1000
 */
    __pyx_r = 0.0;
    goto __pyx_L0;

    /* "pandas/_libs/tslibs/period.pyx":345
 *         double unit, result
 * 
 *     if freq <= FR_DAY:             # <<<<<<<<<<<<<<
 *         return 0
 * 
 */
  }

  /* "pandas/_libs/tslibs/period.pyx":348
 *         return 0
 * 
 *     freq_index = freq // 1000             # <<<<<<<<<<<<<<
 *     day_index = FR_DAY // 1000
 *     base_index = FR_SEC // 1000
 */
  __pyx_v_freq_index = (__pyx_v_freq / 0x3E8);

  /* "pandas/_libs/tslibs/period.pyx":349
 * 
 *     freq_index = freq // 1000
 *     day_index = FR_DAY // 1000             # <<<<<<<<<<<<<<
 *     base_index = FR_SEC // 1000
 * 
 */
  __pyx_v_day_index = (FR_DAY / 0x3E8);

  /* "pandas/_libs/tslibs/period.pyx":350
 *     freq_index = freq // 1000
 *     day_index = FR_DAY // 1000
 *     base_index = FR_SEC // 1000             # <<<<<<<<<<<<<<
 * 
 *     per_day = get_daytime_conversion_factor(day_index, freq_index)
 */
  __pyx_v_base_index = (FR_SEC / 0x3E8);

  /* "pandas/_libs/tslibs/period.pyx":352
 *     base_index = FR_SEC // 1000
 * 
 *     per_day = get_daytime_conversion_factor(day_index, freq_index)             # <<<<<<<<<<<<<<
 *     unit = get_daytime_conversion_factor(freq_index, base_index)
 * 
 */
  __pyx_v_per_day = get_daytime_conversion_factor(__pyx_v_day_index, __pyx_v_freq_index);

  /* "pandas/_libs/tslibs/period.pyx":353
 * 
 *     per_day = get_daytime_conversion_factor(day_index, freq_index)
 *     unit = get_daytime_conversion_factor(freq_index, base_index)             # <<<<<<<<<<<<<<
 * 
 *     if base_index < freq_index:
 */
  __pyx_v_unit = get_daytime_conversion_factor(__pyx_v_freq_index, __pyx_v_base_index);

  /* "pandas/_libs/tslibs/period.pyx":355
 *     unit = get_daytime_conversion_factor(freq_index, base_index)
 * 
 *     if base_index < freq_index:             # <<<<<<<<<<<<<<
 *         unit = 1 / unit
 * 
 */
  __pyx_t_1 = ((__pyx_v_base_index < __pyx_v_freq_index) != 0);
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 * 
 * cdef void get_asfreq_info(int from_freq, int to_freq,             # <<<<<<<<<<<<<<
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 */

static void __pyx_f_6pandas_5_libs_6tslibs_6period_get_asfreq_info(int __pyx_v_from_freq, int __pyx_v_to_freq, int __pyx_v_is_end, asfreq_info *__pyx_v_af_info) {
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  int __pyx_t_1;

  /* "pandas/_libs/tslibs/period.pyx":520
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 *     cdef:
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 *         int to_group = get_freq_group(to_freq)
 * 
 */
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  /* "pandas/_libs/tslibs/period.pyx":521
 *     cdef:
 *         int from_group = get_freq_group(from_freq)
 *         int to_group = get_freq_group(to_freq)             # <<<<<<<<<<<<<<
 * 
 *     af_info.is_end = is_end
 */
  __pyx_v_to_group = __pyx_f_6pandas_5_libs_6tslibs_6period_get_freq_group(__pyx_v_to_freq);

  /* "pandas/_libs/tslibs/period.pyx":523
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 * 
 *     af_info.is_end = is_end             # <<<<<<<<<<<<<<
 * 
 *     af_info.intraday_conversion_factor = get_daytime_conversion_factor(
 */
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  /* "pandas/_libs/tslibs/period.pyx":525
 *     af_info.is_end = is_end
 * 
 *     af_info.intraday_conversion_factor = get_daytime_conversion_factor(             # <<<<<<<<<<<<<<
 *         get_freq_group_index(max_value(from_group, FR_DAY)),
 *         get_freq_group_index(max_value(to_group, FR_DAY)))
 */
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  /* "pandas/_libs/tslibs/period.pyx":529
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 * 
 *     if from_group == FR_WK:             # <<<<<<<<<<<<<<
 *         af_info.from_end = calc_week_end(from_freq, from_group)
 *     elif from_group == FR_ANN:
 */
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    /* "pandas/_libs/tslibs/period.pyx":530
 * 
 *     if from_group == FR_WK:
 *         af_info.from_end = calc_week_end(from_freq, from_group)             # <<<<<<<<<<<<<<
 *     elif from_group == FR_ANN:
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 */
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 * 
 *     if from_group == FR_WK:             # <<<<<<<<<<<<<<
 *         af_info.from_end = calc_week_end(from_freq, from_group)
 *     elif from_group == FR_ANN:
 */
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 *     elif from_group == FR_ANN:             # <<<<<<<<<<<<<<
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 *     elif from_group == FR_QTR:
 */
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    /* "pandas/_libs/tslibs/period.pyx":532
 *         af_info.from_end = calc_week_end(from_freq, from_group)
 *     elif from_group == FR_ANN:
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)             # <<<<<<<<<<<<<<
 *     elif from_group == FR_QTR:
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 */
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 *     if from_group == FR_WK:
 *         af_info.from_end = calc_week_end(from_freq, from_group)
 *     elif from_group == FR_ANN:             # <<<<<<<<<<<<<<
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 *     elif from_group == FR_QTR:
 */
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 *     elif from_group == FR_QTR:             # <<<<<<<<<<<<<<
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 * 
 */
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 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 *     elif from_group == FR_QTR:
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)             # <<<<<<<<<<<<<<
 * 
 *     if to_group == FR_WK:
 */
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    /* "pandas/_libs/tslibs/period.pyx":533
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 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 *     elif from_group == FR_QTR:             # <<<<<<<<<<<<<<
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 * 
 */
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  __pyx_L3:;

  /* "pandas/_libs/tslibs/period.pyx":536
 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 * 
 *     if to_group == FR_WK:             # <<<<<<<<<<<<<<
 *         af_info.to_end = calc_week_end(to_freq, to_group)
 *     elif to_group == FR_ANN:
 */
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    /* "pandas/_libs/tslibs/period.pyx":537
 * 
 *     if to_group == FR_WK:
 *         af_info.to_end = calc_week_end(to_freq, to_group)             # <<<<<<<<<<<<<<
 *     elif to_group == FR_ANN:
 *         af_info.to_end = calc_a_year_end(to_freq, to_group)
 */
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 *         af_info.from_end = calc_a_year_end(from_freq, from_group)
 * 
 *     if to_group == FR_WK:             # <<<<<<<<<<<<<<
 *         af_info.to_end = calc_week_end(to_freq, to_group)
 *     elif to_group == FR_ANN:
 */
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 *     elif to_group == FR_ANN:             # <<<<<<<<<<<<<<
 *         af_info.to_end = calc_a_year_end(to_freq, to_group)
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 *     elif to_group == FR_QTR:
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 */
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 *         af_info.to_end = calc_week_end(to_freq, to_group)
 *     elif to_group == FR_ANN:             # <<<<<<<<<<<<<<
 *         af_info.to_end = calc_a_year_end(to_freq, to_group)
 *     elif to_group == FR_QTR:
 */
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 *     elif to_group == FR_QTR:             # <<<<<<<<<<<<<<
 *         af_info.to_end = calc_a_year_end(to_freq, to_group)
 * 
 */
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 * 
 * 
 */
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    /* "pandas/_libs/tslibs/period.pyx":540
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 *         af_info.to_end = calc_a_year_end(to_freq, to_group)
 *     elif to_group == FR_QTR:             # <<<<<<<<<<<<<<
 *         af_info.to_end = calc_a_year_end(to_freq, to_group)
 * 
 */
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  /* "pandas/_libs/tslibs/period.pyx":506
 * 
 * 
 * cdef void get_asfreq_info(int from_freq, int to_freq,             # <<<<<<<<<<<<<<
 *                           bint is_end, asfreq_info *af_info) nogil:
 *     """
 */

  /* function exit code */
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/* "pandas/_libs/tslibs/period.pyx":545
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 * @cython.cdivision
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 */
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 * @cython.cdivision
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 * 
 * cdef inline int calc_week_end(int freq, int group) nogil:             # <<<<<<<<<<<<<<
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(formatting & docs originally from scikits.timeries)\n\n        +-----------+--------------------------------+-------+\n        | Directive | Meaning                        | Notes |\n        +===========+================================+=======+\n        | ``%a``    | Locale's abbreviated weekday   |       |\n        |           | name.                          |       |\n        +-----------+--------------------------------+-------+\n        | ``%A``    | Locale's full weekday name.    |       |\n        +-----------+--------------------------------+-------+\n        | ``%b``    | Locale's abbreviated month     |       |\n        |           | name.                          |       |\n        +-----------+--------------------------------+-------+\n        | ``%B``    | Locale's full month name.      |       |\n        +-----------+--------------------------------+-------+\n        | ``%c``    | Locale's appropriate date and  |       |\n        |           | time representation.           |       |\n        +-----------+--------------------------------+-------+\n        | ``%d``    | Day of the month as a decimal  |       |\n        |           | number [01,31].                |       |\n        +-----------+--------------------------------+-------+\n        | ``%f``    | 'Fiscal' year without a        | \\(1)  |\n        |           | century  as a decimal number   |       |\n        |           | [00,99]                        |       |\n        +-----------+--------------------------------+-------+\n        | ``%F``    | 'Fiscal' year with a century   | \\(2)  |\n       "" |           | as a decimal number            |       |\n        +-----------+--------------------------------+-------+\n        | ``%H``    | Hour (24-hour clock) as a      |       |\n        |           | decimal number [00,23].        |       |\n        +-----------+--------------------------------+-------+\n        | ``%I``    | Hour (12-hour clock) as a      |       |\n        |           | decimal number [01,12].        |       |\n        +-----------+--------------------------------+-------+\n        | ``%j``    | Day of the year as a decimal   |       |\n        |           | number [001,366].              |       |\n        +-----------+--------------------------------+-------+\n        | ``%m``    | Month as a decimal number      |       |\n        |           | [01,12].                       |       |\n        +-----------+--------------------------------+-------+\n        | ``%M``    | Minute as a decimal number     |       |\n        |           | [00,59].                       |       |\n        +-----------+--------------------------------+-------+\n        | ``%p``    | Locale's equivalent of either  | \\(3)  |\n        |           | AM or PM.                      |       |\n        +-----------+--------------------------------+-------+\n        | ``%q``    | Quarter as a decimal number    |       |\n        |           | [01,04]                        |       |\n        +-----------+--------------------------------+-------+\n        | ``%S``    | Second as a decimal number     | \\(4)  |\n        |           | [00,61].                       |       |\n        +-----------+--------------------------------+-------+\n        | ``%U``    | Week number of the year        | \\(5)  |\n        |           | (Sunday as the first day of    |       |\n        |           | the week) as a decimal number  |       |\n        |           | [00,53].  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}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_day(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_3day_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_hour(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_4hour_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_minute(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_6minute_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_second(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_6second_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_weekofyear(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_10weekofyear_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_week(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_4week_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_dayofweek(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_9dayofweek_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_weekday(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_7weekday_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_dayofyear(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_9dayofyear_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_quarter(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_7quarter_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_qyear(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_5qyear_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_days_in_month(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_13days_in_month_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_daysinmonth(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_11daysinmonth_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_is_leap_year(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_12is_leap_year_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_freqstr(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_7freqstr_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_ordinal(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_7ordinal_1__get__(o);
}

static PyObject *__pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_freq(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_4freq_1__get__(o);
}

static PyMethodDef __pyx_methods_6pandas_5_libs_6tslibs_6period__Period[] = {
  {"_maybe_convert_freq", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_3_maybe_convert_freq, METH_O, 0},
  {"_from_ordinal", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_5_from_ordinal, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pandas_5_libs_6tslibs_6period_7_Period_4_from_ordinal},
  {"_add_delta", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_11_add_delta, METH_O, 0},
  {"asfreq", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_17asfreq, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pandas_5_libs_6tslibs_6period_7_Period_16asfreq},
  {"to_timestamp", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_19to_timestamp, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pandas_5_libs_6tslibs_6period_7_Period_18to_timestamp},
  {"now", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_21now, METH_VARARGS|METH_KEYWORDS, 0},
  {"__unicode__", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_27__unicode__, METH_NOARGS, __pyx_doc_6pandas_5_libs_6tslibs_6period_7_Period_26__unicode__},
  {"__setstate__", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_29__setstate__, METH_O, 0},
  {"__reduce__", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_31__reduce__, METH_NOARGS, 0},
  {"strftime", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_33strftime, METH_O, __pyx_doc_6pandas_5_libs_6tslibs_6period_7_Period_32strftime},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_6pandas_5_libs_6tslibs_6period__Period[] = {
  {(char *)"start_time", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_start_time, 0, (char *)"\n        Get the Timestamp for the start of the period.\n\n        Returns\n        -------\n        Timestamp\n\n        See also\n        --------\n        Period.end_time : Return the end Timestamp.\n        Period.dayofyear : Return the day of year.\n        Period.daysinmonth : Return the days in that month.\n        Period.dayofweek : Return the day of the week.\n\n        Examples\n        --------\n        >>> period = pd.Period('2012-1-1', freq='D')\n        >>> period\n        Period('2012-01-01', 'D')\n\n        >>> period.start_time\n        Timestamp('2012-01-01 00:00:00')\n\n        >>> period.end_time\n        Timestamp('2012-01-01 23:59:59.999999999')\n        ", 0},
  {(char *)"end_time", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_end_time, 0, (char *)0, 0},
  {(char *)"year", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_year, 0, (char *)0, 0},
  {(char *)"month", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_month, 0, (char *)0, 0},
  {(char *)"day", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_day, 0, (char *)"\n        Get day of the month that a Period falls on.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.dayofweek : Get the day of the week\n\n        Period.dayofyear : Get the day of the year\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11\", freq='H')\n        >>> p.day\n        11\n        ", 0},
  {(char *)"hour", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_hour, 0, (char *)"\n        Get the hour of the day component of the Period.\n\n        Returns\n        -------\n        int\n            The hour as an integer, between 0 and 23.\n\n        See Also\n        --------\n        Period.second : Get the second component of the Period.\n        Period.minute : Get the minute component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11 13:03:12.050000\")\n        >>> p.hour\n        13\n\n        Period longer than a day\n\n        >>> p = pd.Period(\"2018-03-11\", freq=\"M\")\n        >>> p.hour\n        0\n        ", 0},
  {(char *)"minute", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_minute, 0, (char *)"\n        Get minute of the hour component of the Period.\n\n        Returns\n        -------\n        int\n            The minute as an integer, between 0 and 59.\n\n        See Also\n        --------\n        Period.hour : Get the hour component of the Period.\n        Period.second : Get the second component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11 13:03:12.050000\")\n        >>> p.minute\n        3\n        ", 0},
  {(char *)"second", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_second, 0, (char *)"\n        Get the second component of the Period.\n\n        Returns\n        -------\n        int\n            The second of the Period (ranges from 0 to 59).\n\n        See Also\n        --------\n        Period.hour : Get the hour component of the Period.\n        Period.minute : Get the minute component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11 13:03:12.050000\")\n        >>> p.second\n        12\n        ", 0},
  {(char *)"weekofyear", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_weekofyear, 0, (char *)0, 0},
  {(char *)"week", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_week, 0, (char *)"\n        Get the week of the year on the given Period.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.dayofweek : Get the day component of the Period.\n        Period.weekday : Get the day component of the Period.\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11\", \"H\")\n        >>> p.week\n        10\n\n        >>> p = pd.Period(\"2018-02-01\", \"D\")\n        >>> p.week\n        5\n\n        >>> p = pd.Period(\"2018-01-06\", \"D\")\n        >>> p.week\n        1\n        ", 0},
  {(char *)"dayofweek", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_dayofweek, 0, (char *)"\n        Return the day of the week.\n\n        This attribute returns the day of the week on which the particular\n        date for the given period occurs depending on the frequency with\n        Monday=0, Sunday=6.\n\n        Returns\n        -------\n        Int\n            Range from 0 to 6 (included).\n\n        See also\n        --------\n        Period.dayofyear : Return the day of the year.\n        Period.daysinmonth : Return the number of days in that month.\n\n        Examples\n        --------\n        >>> period1 = pd.Period('2012-1-1 19:00', freq='H')\n        >>> period1\n        Period('2012-01-01 19:00', 'H')\n        >>> period1.dayofweek\n        6\n\n        >>> period2 = pd.Period('2013-1-9 11:00', freq='H')\n        >>> period2\n        Period('2013-01-09 11:00', 'H')\n        >>> period2.dayofweek\n        2\n        ", 0},
  {(char *)"weekday", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_weekday, 0, (char *)0, 0},
  {(char *)"dayofyear", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_dayofyear, 0, (char *)"\n        Return the day of the year.\n\n        This attribute returns the day of the year on which the particular\n        date occurs. The return value ranges between 1 to 365 for regular\n        years and 1 to 366 for leap years.\n\n        Returns\n        -------\n        int\n            The day of year.\n\n        See Also\n        --------\n        Period.day : Return the day of the month.\n        Period.dayofweek : Return the day of week.\n        PeriodIndex.dayofyear : Return the day of year of all indexes.\n\n        Examples\n        --------\n        >>> period = pd.Period(\"2015-10-23\", freq='H')\n        >>> period.dayofyear\n        296\n        >>> period = pd.Period(\"2012-12-31\", freq='D')\n        >>> period.dayofyear\n        366\n        >>> period = pd.Period(\"2013-01-01\", freq='D')\n        >>> period.dayofyear\n        1\n        ", 0},
  {(char *)"quarter", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_quarter, 0, (char *)0, 0},
  {(char *)"qyear", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_qyear, 0, (char *)0, 0},
  {(char *)"days_in_month", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_days_in_month, 0, (char *)"\n        Get the total number of days in the month that this period falls on.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.daysinmonth : Gets the number of days in the month.\n        DatetimeIndex.daysinmonth : Gets the number of days in the month.\n        calendar.monthrange : Returns a tuple containing weekday\n            (0-6 ~ Mon-Sun) and number of days (28-31).\n\n        Examples\n        --------\n        >>> p = pd.Period('2018-2-17')\n        >>> p.days_in_month\n        28\n\n        >>> pd.Period('2018-03-01').days_in_month\n        31\n\n        Handles the leap year case as well:\n\n        >>> p = pd.Period('2016-2-17')\n        >>> p.days_in_month\n        29\n        ", 0},
  {(char *)"daysinmonth", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_daysinmonth, 0, (char *)"\n        Get the total number of days of the month that the Period falls in.\n\n        Returns\n        -------\n        int\n\n        See Also\n        --------\n        Period.days_in_month : Return the days of the month\n        Period.dayofyear : Return the day of the year\n\n        Examples\n        --------\n        >>> p = pd.Period(\"2018-03-11\", freq='H')\n        >>> p.daysinmonth\n        31\n        ", 0},
  {(char *)"is_leap_year", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_is_leap_year, 0, (char *)0, 0},
  {(char *)"freqstr", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_freqstr, 0, (char *)0, 0},
  {(char *)"ordinal", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_ordinal, 0, (char *)0, 0},
  {(char *)"freq", __pyx_getprop_6pandas_5_libs_6tslibs_6period_7_Period_freq, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyNumberMethods __pyx_tp_as_number__Period = {
  __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_13__add__, /*nb_add*/
  __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_15__sub__, /*nb_subtract*/
  0, /*nb_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_divide*/
  #endif
  0, /*nb_remainder*/
  0, /*nb_divmod*/
  0, /*nb_power*/
  0, /*nb_negative*/
  0, /*nb_positive*/
  0, /*nb_absolute*/
  0, /*nb_nonzero*/
  0, /*nb_invert*/
  0, /*nb_lshift*/
  0, /*nb_rshift*/
  0, /*nb_and*/
  0, /*nb_xor*/
  0, /*nb_or*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_coerce*/
  #endif
  0, /*nb_int*/
  #if PY_MAJOR_VERSION < 3
  0, /*nb_long*/
  #else
  0, /*reserved*/
  #endif
  0, /*nb_float*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_oct*/
  #endif
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_hex*/
  #endif
  0, /*nb_inplace_add*/
  0, /*nb_inplace_subtract*/
  0, /*nb_inplace_multiply*/
  #if PY_MAJOR_VERSION < 3 || (CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x03050000)
  0, /*nb_inplace_divide*/
  #endif
  0, /*nb_inplace_remainder*/
  0, /*nb_inplace_power*/
  0, /*nb_inplace_lshift*/
  0, /*nb_inplace_rshift*/
  0, /*nb_inplace_and*/
  0, /*nb_inplace_xor*/
  0, /*nb_inplace_or*/
  0, /*nb_floor_divide*/
  0, /*nb_true_divide*/
  0, /*nb_inplace_floor_divide*/
  0, /*nb_inplace_true_divide*/
  0, /*nb_index*/
  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_matrix_multiply*/
  #endif
  #if PY_VERSION_HEX >= 0x03050000
  0, /*nb_inplace_matrix_multiply*/
  #endif
};

static PyTypeObject __pyx_type_6pandas_5_libs_6tslibs_6period__Period = {
  PyVarObject_HEAD_INIT(0, 0)
  "pandas._libs.tslibs.period._Period", /*tp_name*/
  sizeof(struct __pyx_obj_6pandas_5_libs_6tslibs_6period__Period), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_6pandas_5_libs_6tslibs_6period__Period, /*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_6tslibs_6period_7_Period_25__repr__, /*tp_repr*/
  &__pyx_tp_as_number__Period, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_9__hash__, /*tp_hash*/
  0, /*tp_call*/
  __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_23__str__, /*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*/
  0, /*tp_doc*/
  __pyx_tp_traverse_6pandas_5_libs_6tslibs_6period__Period, /*tp_traverse*/
  __pyx_tp_clear_6pandas_5_libs_6tslibs_6period__Period, /*tp_clear*/
  __pyx_pw_6pandas_5_libs_6tslibs_6period_7_Period_7__richcmp__, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_6pandas_5_libs_6tslibs_6period__Period, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_6pandas_5_libs_6tslibs_6period__Period, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_6pandas_5_libs_6tslibs_6period__Period, /*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[] = {
  {"period_asfreq", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_5period_asfreq, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pandas_5_libs_6tslibs_6period_4period_asfreq},
  {"period_ordinal", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_9period_ordinal, METH_VARARGS|METH_KEYWORDS, __pyx_doc_6pandas_5_libs_6tslibs_6period_8period_ordinal},
  {"period_ordinal_to_dt64", (PyCFunction)__pyx_pw_6pandas_5_libs_6tslibs_6period_11period_ordinal_to_dt64, 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_period(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_period},
  {0, NULL}
};
#endif

static struct PyModuleDef __pyx_moduledef = {
    PyModuleDef_HEAD_INIT,
    "period",
    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

static __Pyx_StringTabEntry __pyx_string_tab[] = {
  {&__pyx_kp_s_03d, __pyx_k_03d, sizeof(__pyx_k_03d), 0, 0, 1, 0},
  {&__pyx_kp_s_06d, __pyx_k_06d, sizeof(__pyx_k_06d), 0, 0, 1, 0},
  {&__pyx_kp_s_09d, __pyx_k_09d, sizeof(__pyx_k_09d), 0, 0, 1, 0},
  {&__pyx_kp_s_2d, __pyx_k_2d, sizeof(__pyx_k_2d), 0, 0, 1, 0},
  {&__pyx_kp_b_AB, __pyx_k_AB, sizeof(__pyx_k_AB), 0, 0, 0, 0},
  {&__pyx_kp_s_AB, __pyx_k_AB, sizeof(__pyx_k_AB), 0, 0, 1, 0},
  {&__pyx_n_s_AttributeError, __pyx_k_AttributeError, sizeof(__pyx_k_AttributeError), 0, 0, 1, 1},
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    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;
}

/* 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;
}

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

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

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

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

/* 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

/* 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));
}

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

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

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

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

/* GetException */
          #if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
#endif
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = local_type;
    tstate->exc_state.exc_value = local_value;
    tstate->exc_state.exc_traceback = local_tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* 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;
}

/* PyIntBinop */
            #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(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_subtract(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_subtract(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("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

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

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

/* 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);
}

/* 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;
    }
}

/* PyIntBinop */
            #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a;
        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;
                    }
                    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;
                    }
                    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;
                    }
                    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;
                    }
                    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;
                    }
                    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;
                    }
                    CYTHON_FALLTHROUGH;
                #if PyLong_SHIFT < 30 && PyLong_SHIFT != 15
                default: return PyLong_Type.tp_richcompare(op1, op2, Py_EQ);
                #else
                default: Py_RETURN_FALSE;
                #endif
            }
        }
            if (a == b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            if ((double)a == (double)b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    return PyObject_RichCompare(op1, op2, Py_EQ);
}
#endif

/* 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);
}

/* 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

/* 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

/* PyIntBinop */
            #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_RemainderObjC(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 = a % b;
            x += ((x != 0) & ((x ^ b) < 0)) * b;
            return PyInt_FromLong(x);
    }
    #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_remainder(op1, op2);
            }
        }
                x = a % b;
                x += ((x != 0) & ((x ^ b) < 0)) * b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla % llb;
                llx += ((llx != 0) & ((llx ^ llb) < 0)) * llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    return (inplace ? PyNumber_InPlaceRemainder : PyNumber_Remainder)(op1, op2);
}
#endif

/* UnpackUnboundCMethod */
            static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    target->method = method;
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION >= 3
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    #endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST);
    }
#endif
    return 0;
}

/* CallUnboundCMethod1 */
            #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg) {
    if (likely(cfunc->func)) {
        int flag = cfunc->flag;
        if (flag == METH_O) {
            return (*(cfunc->func))(self, arg);
        } else if (PY_VERSION_HEX >= 0x030600B1 && flag == METH_FASTCALL) {
            if (PY_VERSION_HEX >= 0x030700A0) {
                return (*(__Pyx_PyCFunctionFast)cfunc->func)(self, &arg, 1);
            } else {
                return (*(__Pyx_PyCFunctionFastWithKeywords)cfunc->func)(self, &arg, 1, NULL);
            }
        } else if (PY_VERSION_HEX >= 0x030700A0 && flag == (METH_FASTCALL | METH_KEYWORDS)) {
            return (*(__Pyx_PyCFunctionFastWithKeywords)cfunc->func)(self, &arg, 1, NULL);
        }
    }
    return __Pyx__CallUnboundCMethod1(cfunc, self, arg);
}
#endif
static PyObject* __Pyx__CallUnboundCMethod1(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg){
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        Py_INCREF(arg);
        PyTuple_SET_ITEM(args, 0, arg);
        if (cfunc->flag & METH_KEYWORDS)
            result = (*(PyCFunctionWithKeywords)cfunc->func)(self, args, NULL);
        else
            result = (*cfunc->func)(self, args);
    } else {
        args = PyTuple_New(2);
        if (unlikely(!args)) goto bad;
        Py_INCREF(self);
        PyTuple_SET_ITEM(args, 0, self);
        Py_INCREF(arg);
        PyTuple_SET_ITEM(args, 1, arg);
        result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    }
#else
    args = PyTuple_Pack(2, self, arg);
    if (unlikely(!args)) goto bad;
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
#endif
bad:
    Py_XDECREF(args);
    return result;
}

/* CallUnboundCMethod2 */
            #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030600B1
static CYTHON_INLINE PyObject *__Pyx_CallUnboundCMethod2(__Pyx_CachedCFunction *cfunc, PyObject *self, PyObject *arg1, PyObject *arg2) {
    if (likely(cfunc->func)) {
        PyObject *args[2] = {arg1, arg2};
        if (cfunc->flag == METH_FASTCALL) {
            #if PY_VERSION_HEX >= 0x030700A0
            return (*(__Pyx_PyCFunctionFast)cfunc->func)(self, args, 2);
            #else
            return (*(__Pyx_PyCFunctionFastWithKeywords)cfunc->func)(self, args, 2, NULL);
            #endif
        }
        #if PY_VERSION_HEX >= 0x030700A0
        if (cfunc->flag == (METH_FASTCALL | METH_KEYWORDS))
            return (*(__Pyx_PyCFunctionFastWithKeywords)cfunc->func)(self, args, 2, NULL);
        #endif
    }
    return __Pyx__CallUnboundCMethod2(cfunc, self, arg1, arg2);
}
#endif
static PyObject* __Pyx__CallUnboundCMethod2(__Pyx_CachedCFunction* cfunc, PyObject* self, PyObject* arg1, PyObject* arg2){
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->func && !cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_COMPILING_IN_CPYTHON
    if (cfunc->func && (cfunc->flag & METH_VARARGS)) {
        args = PyTuple_New(2);
        if (unlikely(!args)) goto bad;
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 0, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 1, arg2);
        if (cfunc->flag & METH_KEYWORDS)
            result = (*(PyCFunctionWithKeywords)cfunc->func)(self, args, NULL);
        else
            result = (*cfunc->func)(self, args);
    } else {
        args = PyTuple_New(3);
        if (unlikely(!args)) goto bad;
        Py_INCREF(self);
        PyTuple_SET_ITEM(args, 0, self);
        Py_INCREF(arg1);
        PyTuple_SET_ITEM(args, 1, arg1);
        Py_INCREF(arg2);
        PyTuple_SET_ITEM(args, 2, arg2);
        result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    }
#else
    args = PyTuple_Pack(3, self, arg1, arg2);
    if (unlikely(!args)) goto bad;
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
#endif
bad:
    Py_XDECREF(args);
    return result;
}

/* dict_getitem_default */
            static PyObject* __Pyx_PyDict_GetItemDefault(PyObject* d, PyObject* key, PyObject* default_value) {
    PyObject* value;
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (unlikely(PyErr_Occurred()))
            return NULL;
        value = default_value;
    }
    Py_INCREF(value);
    if ((1));
#else
    if (PyString_CheckExact(key) || PyUnicode_CheckExact(key) || PyInt_CheckExact(key)) {
        value = PyDict_GetItem(d, key);
        if (unlikely(!value)) {
            value = default_value;
        }
        Py_INCREF(value);
    }
#endif
    else {
        if (default_value == Py_None)
            value = __Pyx_CallUnboundCMethod1(&__pyx_umethod_PyDict_Type_get, d, key);
        else
            value = __Pyx_CallUnboundCMethod2(&__pyx_umethod_PyDict_Type_get, d, key, default_value);
    }
    return value;
}

/* pyfrozenset_new */
            static CYTHON_INLINE PyObject* __Pyx_PyFrozenSet_New(PyObject* it) {
    if (it) {
        PyObject* result;
#if CYTHON_COMPILING_IN_PYPY
        PyObject* args;
        args = PyTuple_Pack(1, it);
        if (unlikely(!args))
            return NULL;
        result = PyObject_Call((PyObject*)&PyFrozenSet_Type, args, NULL);
        Py_DECREF(args);
        return result;
#else
        if (PyFrozenSet_CheckExact(it)) {
            Py_INCREF(it);
            return it;
        }
        result = PyFrozenSet_New(it);
        if (unlikely(!result))
            return NULL;
        if (likely(PySet_GET_SIZE(result)))
            return result;
        Py_DECREF(result);
#endif
    }
#if CYTHON_USE_TYPE_SLOTS
    return PyFrozenSet_Type.tp_new(&PyFrozenSet_Type, __pyx_empty_tuple, NULL);
#else
    return PyObject_Call((PyObject*)&PyFrozenSet_Type, __pyx_empty_tuple, NULL);
#endif
}

/* PySetContains */
            static int __Pyx_PySet_ContainsUnhashable(PyObject *set, PyObject *key) {
    int result = -1;
    if (PySet_Check(key) && PyErr_ExceptionMatches(PyExc_TypeError)) {
        PyObject *tmpkey;
        PyErr_Clear();
        tmpkey = __Pyx_PyFrozenSet_New(key);
        if (tmpkey != NULL) {
            result = PySet_Contains(set, tmpkey);
            Py_DECREF(tmpkey);
        }
    }
    return result;
}
static CYTHON_INLINE int __Pyx_PySet_ContainsTF(PyObject* key, PyObject* set, int eq) {
    int result = PySet_Contains(set, key);
    if (unlikely(result < 0)) {
        result = __Pyx_PySet_ContainsUnhashable(set, key);
    }
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* 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

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

/* 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

/* 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;
}

/* CalculateMetaclass */
            static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* Py3ClassCreate */
            static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

/* ClassMethod */
            static PyObject* __Pyx_Method_ClassMethod(PyObject *method) {
#if CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM <= 0x05080000
    if (PyObject_TypeCheck(method, &PyWrapperDescr_Type)) {
        return PyClassMethod_New(method);
    }
#else
#if CYTHON_COMPILING_IN_PYSTON || CYTHON_COMPILING_IN_PYPY
    if (PyMethodDescr_Check(method)) {
#else
    static PyTypeObject *methoddescr_type = NULL;
    if (methoddescr_type == NULL) {
       PyObject *meth = PyObject_GetAttrString((PyObject*)&PyList_Type, "append");
       if (!meth) return NULL;
       methoddescr_type = Py_TYPE(meth);
       Py_DECREF(meth);
    }
    if (__Pyx_TypeCheck(method, methoddescr_type)) {
#endif
        PyMethodDescrObject *descr = (PyMethodDescrObject *)method;
        #if PY_VERSION_HEX < 0x03020000
        PyTypeObject *d_type = descr->d_type;
        #else
        PyTypeObject *d_type = descr->d_common.d_type;
        #endif
        return PyDescr_NewClassMethod(d_type, descr->d_method);
    }
#endif
    else if (PyMethod_Check(method)) {
        return PyClassMethod_New(PyMethod_GET_FUNCTION(method));
    }
    else if (PyCFunction_Check(method)) {
        return PyClassMethod_New(method);
    }
#ifdef __Pyx_CyFunction_USED
    else if (__Pyx_TypeCheck(method, __pyx_CyFunctionType)) {
        return PyClassMethod_New(method);
    }
#endif
    PyErr_SetString(PyExc_TypeError,
                   "Class-level classmethod() can only be called on "
                   "a method_descriptor or instance method.");
    return NULL;
}

/* GetNameInClass */
              static PyObject *__Pyx_GetGlobalNameAfterAttributeLookup(PyObject *name) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    return __Pyx_GetModuleGlobalName(name);
}
static PyObject *__Pyx_GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    result = __Pyx_PyObject_GetAttrStr(nmspace, name);
    if (!result) {
        result = __Pyx_GetGlobalNameAfterAttributeLookup(name);
    }
    return result;
}

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

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

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static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
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            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

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

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
    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


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

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

/* 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);
    }
}

/* 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);
    }
}

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

/* CIntFromPy */
                  static CYTHON_INLINE npy_int64 __Pyx_PyInt_As_npy_int64(PyObject *x) {
    const npy_int64 neg_one = (npy_int64) -1, const_zero = (npy_int64) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int64) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int64, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int64) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int64) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int64, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 2 * PyLong_SHIFT) {
                            return (npy_int64) (((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 3 * PyLong_SHIFT) {
                            return (npy_int64) (((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 4 * PyLong_SHIFT) {
                            return (npy_int64) (((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (npy_int64) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int64) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int64) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int64, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int64,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int64) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int64) (((npy_int64)-1)*(((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int64) ((((((npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int64) (((npy_int64)-1)*(((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int64) ((((((((npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int64) (((npy_int64)-1)*(((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int64) ((((((((((npy_int64)digits[3]) << PyLong_SHIFT) | (npy_int64)digits[2]) << PyLong_SHIFT) | (npy_int64)digits[1]) << PyLong_SHIFT) | (npy_int64)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int64) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int64) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int64 val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (npy_int64) -1;
        }
    } else {
        npy_int64 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int64) -1;
        val = __Pyx_PyInt_As_npy_int64(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int64");
    return (npy_int64) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int64");
    return (npy_int64) -1;
}

/* CIntFromPy */
                  static CYTHON_INLINE npy_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 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;
}

/* 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

/* VoidPtrImport */
                  #ifndef __PYX_HAVE_RT_ImportVoidPtr
#define __PYX_HAVE_RT_ImportVoidPtr
static int __Pyx_ImportVoidPtr(PyObject *module, const char *name, void **p, const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, name);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C variable %.200s",
                PyModule_GetName(module), name);
        goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), name, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    *p = PyCapsule_GetPointer(cobj, sig);
#else
    {const char *desc, *s1, *s2;
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), name, sig, desc);
        goto bad;
    }
    *p = PyCObject_AsVoidPtr(cobj);}
#endif
    if (!(*p))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

/* FunctionImport */
                  #ifndef __PYX_HAVE_RT_ImportFunction
#define __PYX_HAVE_RT_ImportFunction
static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, funcname);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C function %.200s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
#else
    {const char *desc, *s1, *s2;
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, desc);
        goto bad;
    }
    tmp.p = PyCObject_AsVoidPtr(cobj);}
#endif
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#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 */
