/* Generated by Cython 0.29.24 */

#ifndef PY_SSIZE_T_CLEAN
#define PY_SSIZE_T_CLEAN
#endif /* 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_29_24"
#define CYTHON_HEX_VERSION 0x001D18F0
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
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#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
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    #define __fastcall
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#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
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#ifndef Py_HUGE_VAL
  #define Py_HUGE_VAL HUGE_VAL
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#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
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    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
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  #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
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 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
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  #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
  #undef CYTHON_USE_DICT_VERSIONS
  #define CYTHON_USE_DICT_VERSIONS 0
  #undef CYTHON_USE_EXC_INFO_STACK
  #define CYTHON_USE_EXC_INFO_STACK 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
  #endif
  #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
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  #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
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    #define CYTHON_USE_UNICODE_WRITER 1
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  #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
  #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 (PY_VERSION_HEX >= 0x03050000)
  #endif
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
  #endif
  #ifndef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
  #endif
  #ifndef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
  #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
  #ifdef SIZEOF_VOID_P
    enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
  #endif
#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"
#if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #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)
#endif
  #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
#ifndef METH_STACKLESS
  #define METH_STACKLESS 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 | METH_STACKLESS)))))
#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_CPYTHON && PY_VERSION_HEX < 0x030400A1
  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
  #define PyMem_RawFree(p)             PyMem_Free(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;
}
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
#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
  #if defined(PyUnicode_IS_READY)
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #else
  #define __Pyx_PyUnicode_READY(op)       (0)
  #endif
  #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)
  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
  #endif
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #endif
#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 || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? 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
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#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 PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#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)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

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

#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) 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__vegas___vegas
#define __PYX_HAVE_API__vegas___vegas
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"

    /* NumPy API declarations from "numpy/__init__.pxd" */
    
#include <math.h>
#include "pythread.h"
#include <stdlib.h>
#include "pystate.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#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)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#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)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(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) + 1);
    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 = NULL;
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[] = {
  "_vegas.pyx",
  "_vegas.pxd",
  "stringsource",
  "__init__.pxd",
  "type.pxd",
};
/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;
#define __Pyx_MemoryView_Len(m)  (m.shape[0])

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

/* 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;

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

/* 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()


/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":690
 * # 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":691
 * 
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":692
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":693
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":697
 * #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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":698
 * 
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":699
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":700
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":704
 * #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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":705
 * 
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":714
 * # 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":715
 * # 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":716
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":718
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":719
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":720
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":722
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":723
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":725
 * 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;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":726
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":727
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/
struct __pyx_obj_5vegas_6_vegas_BatchIntegrand;
struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand;
struct __pyx_obj_5vegas_6_vegas_AdaptiveMap;
struct __pyx_obj_5vegas_6_vegas_Integrator;
struct __pyx_obj_5vegas_6_vegas_VegasResult;
struct __pyx_obj_5vegas_6_vegas_VegasIntegrand;
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch;
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict;
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch;
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict;
struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid;
struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct_1_random_batch;
struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct_2_random;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":729
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":730
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":731
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../opt/anaconda3/lib/python3.9/site-packages/numpy/__init__.pxd":733
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_map;
struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_invmap;
struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_add_training_data;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;
struct __pyx_defaults1;
typedef struct __pyx_defaults1 __pyx_defaults1;
struct __pyx_defaults2;
typedef struct __pyx_defaults2 __pyx_defaults2;

/* "vegas/_vegas.pxd":33
 *     cdef public double[:, ::1] n_f
 * 
 *     cpdef map(self, double[:, ::1] y, double[:, ::1] x, double[::1] J, numpy.npy_intp ny=*)             # <<<<<<<<<<<<<<
 *     cpdef invmap(self, double[:, ::1] x, double[:, ::1] y, double[::1] J, numpy.npy_intp nx=*)
 *     cpdef add_training_data(self, double[:, ::1] y, double[::1] f, numpy.npy_intp ny=*)
 */
struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_map {
  int __pyx_n;
  npy_intp ny;
};

/* "vegas/_vegas.pxd":34
 * 
 *     cpdef map(self, double[:, ::1] y, double[:, ::1] x, double[::1] J, numpy.npy_intp ny=*)
 *     cpdef invmap(self, double[:, ::1] x, double[:, ::1] y, double[::1] J, numpy.npy_intp nx=*)             # <<<<<<<<<<<<<<
 *     cpdef add_training_data(self, double[:, ::1] y, double[::1] f, numpy.npy_intp ny=*)
 * 
 */
struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_invmap {
  int __pyx_n;
  npy_intp nx;
};

/* "vegas/_vegas.pxd":35
 *     cpdef map(self, double[:, ::1] y, double[:, ::1] x, double[::1] J, numpy.npy_intp ny=*)
 *     cpdef invmap(self, double[:, ::1] x, double[:, ::1] y, double[::1] J, numpy.npy_intp nx=*)
 *     cpdef add_training_data(self, double[:, ::1] y, double[::1] f, numpy.npy_intp ny=*)             # <<<<<<<<<<<<<<
 * 
 * cdef class Integrator:
 */
struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_add_training_data {
  int __pyx_n;
  npy_intp ny;
};
struct __pyx_defaults {
  PyObject *__pyx_arg_grid;
};
struct __pyx_defaults1 {
  PyObject *__pyx_arg_idx;
};
struct __pyx_defaults2 {
  PyObject *__pyx_arg_self;
  PyObject *__pyx_arg__eval;
};

/* "vegas/_vegas.pxd":19
 * # -- same as numpy.intp_t and Py_ssize_t (usually) in Cython
 * 
 * cdef class BatchIntegrand:             # <<<<<<<<<<<<<<
 *     cdef public object fcn
 * 
 */
struct __pyx_obj_5vegas_6_vegas_BatchIntegrand {
  PyObject_HEAD
  PyObject *fcn;
};


/* "vegas/_vegas.pxd":22
 *     cdef public object fcn
 * 
 * cdef class RBatchIntegrand:             # <<<<<<<<<<<<<<
 *     cdef public object fcn
 * 
 */
struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand {
  PyObject_HEAD
  PyObject *fcn;
};


/* "vegas/_vegas.pxd":25
 *     cdef public object fcn
 * 
 * cdef class AdaptiveMap:             # <<<<<<<<<<<<<<
 *     # first index is direction, second is increment
 *     cdef readonly double[:, ::1] grid
 */
struct __pyx_obj_5vegas_6_vegas_AdaptiveMap {
  PyObject_HEAD
  struct __pyx_vtabstruct_5vegas_6_vegas_AdaptiveMap *__pyx_vtab;
  __Pyx_memviewslice grid;
  __Pyx_memviewslice inc;
  __Pyx_memviewslice ninc;
  __Pyx_memviewslice sum_f;
  __Pyx_memviewslice n_f;
};


/* "vegas/_vegas.pxd":37
 *     cpdef add_training_data(self, double[:, ::1] y, double[::1] f, numpy.npy_intp ny=*)
 * 
 * cdef class Integrator:             # <<<<<<<<<<<<<<
 *     # inputs
 *     cdef public numpy.npy_intp neval
 */
struct __pyx_obj_5vegas_6_vegas_Integrator {
  PyObject_HEAD
  npy_intp neval;
  __Pyx_memviewslice neval_hcube_range;
  npy_intp nhcube_batch;
  npy_intp maxinc_axis;
  npy_intp max_nhcube;
  npy_intp max_neval_hcube;
  double neval_frac;
  double max_mem;
  npy_intp nitn;
  npy_intp nproc;
  double alpha;
  double rtol;
  double atol;
  int minimize_mem;
  int adapt_to_errors;
  double beta;
  int adapt;
  PyObject *analyzer;
  PyObject *ran_array_generator;
  int sync_ran;
  int mpi;
  int uniform_nstrat;
  int uses_jac;
  PyObject *save;
  PyObject *saveall;
  __Pyx_memviewslice nstrat;
  struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *map;
  PyObject *pool;
  double sum_sigf;
  npy_intp dim;
  npy_intp last_neval;
  npy_intp min_neval_hcube;
  npy_intp nhcube;
  __Pyx_memviewslice y;
  __Pyx_memviewslice x;
  __Pyx_memviewslice jac;
  __Pyx_memviewslice fdv2;
  __Pyx_memviewslice neval_hcube;
  __Pyx_memviewslice sigf;
};


/* "vegas/_vegas.pyx":2527
 * # appropriate structure given the integrand structure.
 * 
 * cdef class VegasResult:             # <<<<<<<<<<<<<<
 *     cdef readonly object integrand
 *     cdef readonly object shape
 */
struct __pyx_obj_5vegas_6_vegas_VegasResult {
  PyObject_HEAD
  PyObject *integrand;
  PyObject *shape;
  PyObject *result;
  double sum_neval;
};


/* "vegas/_vegas.pyx":2594
 *         return self.result.converged(rtol, atol)
 * 
 * cdef class VegasIntegrand:             # <<<<<<<<<<<<<<
 *     cdef public object shape
 *     cdef public object fcntype
 */
struct __pyx_obj_5vegas_6_vegas_VegasIntegrand {
  PyObject_HEAD
  PyObject *shape;
  PyObject *fcntype;
  npy_intp size;
  PyObject *eval;
  PyObject *bdict;
  int nproc;
  int rank;
  PyObject *comm;
};


/* "vegas/_vegas.pyx":2749
 * # and nonbatch vs batch) to the standard output format assumed internally
 * # in vegas.
 * cdef class _BatchIntegrand_from_NonBatch(object):             # <<<<<<<<<<<<<<
 *     cdef readonly numpy.npy_intp size
 *     cdef readonly object shape
 */
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch {
  PyObject_HEAD
  npy_intp size;
  PyObject *shape;
  PyObject *fcn;
};


/* "vegas/_vegas.pyx":2775
 *         return f
 * 
 * cdef class _BatchIntegrand_from_NonBatchDict(object):             # <<<<<<<<<<<<<<
 *     cdef readonly numpy.npy_intp size
 *     cdef readonly object fcn
 */
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict {
  PyObject_HEAD
  npy_intp size;
  PyObject *fcn;
};


/* "vegas/_vegas.pyx":2795
 *         return f
 * 
 * cdef class _BatchIntegrand_from_Batch(object):             # <<<<<<<<<<<<<<
 *     cdef readonly object fcn
 *     cdef readonly object shape
 */
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch {
  PyObject_HEAD
  PyObject *fcn;
  PyObject *shape;
  int rbatch;
};


/* "vegas/_vegas.pyx":2820
 * 
 * 
 * cdef class _BatchIntegrand_from_BatchDict(object):             # <<<<<<<<<<<<<<
 *     cdef readonly numpy.npy_intp size
 *     cdef readonly object slice
 */
struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict {
  PyObject_HEAD
  npy_intp size;
  PyObject *slice;
  PyObject *shape;
  PyObject *fcn;
  int rbatch;
};


/* "vegas/_vegas.pyx":601
 *         self.n_f = None
 * 
 *     def show_grid(self, ngrid=40, axes=None, shrink=False, plotter=None):             # <<<<<<<<<<<<<<
 *         """ Display plots showing the current grid.
 * 
 */
struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid {
  PyObject_HEAD
  PyObject *__pyx_v_axes;
  PyObject *__pyx_v_fig;
  PyObject *__pyx_v_ngrid;
  PyObject *__pyx_v_plotdata;
  PyObject *__pyx_v_plt;
  struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self;
  PyObject *__pyx_v_shrink;
};


/* "vegas/_vegas.pyx":1471
 *     mpi_rank = property(_get_mpi_rank, doc="MPI rank (>=0)")
 * 
 *     def random_batch(             # <<<<<<<<<<<<<<
 *         Integrator self not None,
 *         bint yield_hcube=False,
 */
struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct_1_random_batch {
  PyObject_HEAD
  int __pyx_v_adaptive_strat;
  PyObject *__pyx_v_answer;
  npy_intp __pyx_v_avg_neval_hcube;
  npy_intp __pyx_v_d;
  double __pyx_v_dv_y;
  PyObject *__pyx_v_fcn;
  npy_intp __pyx_v_hcube;
  __Pyx_memviewslice __pyx_v_hcube_array;
  npy_intp __pyx_v_hcube_base;
  npy_intp __pyx_v_i;
  npy_intp __pyx_v_i_start;
  npy_intp __pyx_v_ihcube;
  __Pyx_memviewslice __pyx_v_jac;
  npy_intp __pyx_v_max_neval_hcube;
  npy_intp __pyx_v_neval_batch;
  __Pyx_memviewslice __pyx_v_neval_hcube;
  double __pyx_v_neval_sigf;
  npy_intp __pyx_v_nhcube;
  npy_intp __pyx_v_nhcube_batch;
  struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self;
  __Pyx_memviewslice __pyx_v_sigf;
  npy_intp __pyx_v_tmp_hcube;
  __Pyx_memviewslice __pyx_v_x;
  __Pyx_memviewslice __pyx_v_y;
  __Pyx_memviewslice __pyx_v_y0;
  int __pyx_v_yield_hcube;
  int __pyx_v_yield_y;
  __Pyx_memviewslice __pyx_v_yran;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
};


/* "vegas/_vegas.pyx":1612
 *     random_vec = random_batch
 * 
 *     def random(             # <<<<<<<<<<<<<<
 *         Integrator self not None, bint yield_hcube=False, bint yield_y=False
 *         ):
 */
struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct_2_random {
  PyObject_HEAD
  __Pyx_memviewslice __pyx_v_hcube;
  npy_intp __pyx_v_i;
  struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self;
  __Pyx_memviewslice __pyx_v_wgt;
  __Pyx_memviewslice __pyx_v_x;
  __Pyx_memviewslice __pyx_v_y;
  int __pyx_v_yield_hcube;
  int __pyx_v_yield_y;
  PyObject *__pyx_t_0;
  Py_ssize_t __pyx_t_1;
  PyObject *(*__pyx_t_2)(PyObject *);
  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  npy_intp __pyx_t_5;
};


/* "View.MemoryView":105
 * 
 * @cname("__pyx_array")
 * cdef class array:             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */
struct __pyx_array_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_array *__pyx_vtab;
  char *data;
  Py_ssize_t len;
  char *format;
  int ndim;
  Py_ssize_t *_shape;
  Py_ssize_t *_strides;
  Py_ssize_t itemsize;
  PyObject *mode;
  PyObject *_format;
  void (*callback_free_data)(void *);
  int free_data;
  int dtype_is_object;
};


/* "View.MemoryView":279
 * 
 * @cname('__pyx_MemviewEnum')
 * cdef class Enum(object):             # <<<<<<<<<<<<<<
 *     cdef object name
 *     def __init__(self, name):
 */
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};


/* "View.MemoryView":330
 * 
 * @cname('__pyx_memoryview')
 * cdef class memoryview(object):             # <<<<<<<<<<<<<<
 * 
 *     cdef object obj
 */
struct __pyx_memoryview_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
  PyObject *obj;
  PyObject *_size;
  PyObject *_array_interface;
  PyThread_type_lock lock;
  __pyx_atomic_int acquisition_count[2];
  __pyx_atomic_int *acquisition_count_aligned_p;
  Py_buffer view;
  int flags;
  int dtype_is_object;
  __Pyx_TypeInfo *typeinfo;
};


/* "View.MemoryView":965
 * 
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
 *     "Internal class for passing memoryview slices to Python"
 * 
 */
struct __pyx_memoryviewslice_obj {
  struct __pyx_memoryview_obj __pyx_base;
  __Pyx_memviewslice from_slice;
  PyObject *from_object;
  PyObject *(*to_object_func)(char *);
  int (*to_dtype_func)(char *, PyObject *);
};



/* "vegas/_vegas.pyx":40
 * 
 * # AdaptiveMap is used by Integrator
 * cdef class AdaptiveMap:             # <<<<<<<<<<<<<<
 *     """ Adaptive map ``y->x(y)`` for multidimensional ``y`` and ``x``.
 * 
 */

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#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
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#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
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#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
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#ifndef CYTHON_TRACE
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#if CYTHON_TRACE
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#ifndef CYTHON_PROFILE_REUSE_FRAME
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#if CYTHON_PROFILE || CYTHON_TRACE
  #include "compile.h"
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  #include "traceback.h"
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    #define CYTHON_FRAME_MODIFIER static
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#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
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#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
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static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
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#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
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#define __Pyx_GetModuleGlobalName(var, name)  {\
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static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
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#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
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/* PyCFunctionFastCall.proto */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
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#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
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/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
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#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
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#define __Pyx_BUILD_ASSERT_EXPR(cond)\
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#ifndef Py_MEMBER_SIZE
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  #include "frameobject.h"
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  #define __Pyx_PyFrame_GetLocalsplus(frame)\
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/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

/* PyObjectCall2Args.proto */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

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

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

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

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

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_SubtractObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

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

/* BufferIndexError.proto */
static void __Pyx_RaiseBufferIndexError(int axis);

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

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

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

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_FloorDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_FloorDivideObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceFloorDivide(op1, op2) : PyNumber_FloorDivide(op1, op2))
#endif

/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);

/* 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

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

/* JoinPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char);

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

/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

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

/* GCCDiagnostics.proto */
#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* BuildPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char);

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char);

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

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* IterFinish.proto */
static CYTHON_INLINE int __Pyx_IterFinish(void);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

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

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

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

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

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

/* 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);

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

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

/* PyObjectCallMethod1.proto */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);

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

/* CythonFunctionShared.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;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    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_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, 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);

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* CallableCheck.proto */
#if CYTHON_USE_TYPE_SLOTS && PY_MAJOR_VERSION >= 3
#define __Pyx_PyCallable_Check(obj)   (Py_TYPE(obj)->tp_call != NULL)
#else
#define __Pyx_PyCallable_Check(obj)   PyCallable_Check(obj)
#endif

/* 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

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* SliceObject.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

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

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

/* 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

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

/* PyIntFromDouble.proto */
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE PyObject* __Pyx_PyInt_FromDouble(double value);
#else
#define __Pyx_PyInt_FromDouble(value) PyLong_FromDouble(value)
#endif

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

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideCObj(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* SliceObject.proto */
#define __Pyx_PyObject_DelSlice(obj, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)\
    __Pyx_PyObject_SetSlice(obj, (PyObject*)NULL, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)
static CYTHON_INLINE int __Pyx_PyObject_SetSlice(
        PyObject* obj, PyObject* value, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* None.proto */
static CYTHON_INLINE npy_intp __Pyx_mod_npy_intp(npy_intp, npy_intp);

/* None.proto */
static CYTHON_INLINE npy_intp __Pyx_div_npy_intp(npy_intp, npy_intp);

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

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* IsLittleEndian.proto */
static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);

/* BufferFormatCheck.proto */
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type);

/* BufferGetAndValidate.proto */
#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\
    ((obj == Py_None || obj == NULL) ?\
    (__Pyx_ZeroBuffer(buf), 0) :\
    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))
static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static void __Pyx_ZeroBuffer(Py_buffer* buf);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };
static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };

/* BufferFallbackError.proto */
static void __Pyx_RaiseBufferFallbackError(void);

#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
/* KeywordStringCheck.proto */
static int __Pyx_CheckKeywordStrings(PyObject *kwdict, const char* function_name, int kw_allowed);

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

/* PyObjectFormat.proto */
#if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* s, PyObject* f);
#else
#define __Pyx_PyObject_Format(s, f) PyObject_Format(s, f)
#endif

/* py_abs.proto */
#if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *num);
#define __Pyx_PyNumber_Absolute(x)\
    ((likely(PyLong_CheckExact(x))) ?\
         (likely(Py_SIZE(x) >= 0) ? (Py_INCREF(x), (x)) : __Pyx_PyLong_AbsNeg(x)) :\
         PyNumber_Absolute(x))
#else
#define __Pyx_PyNumber_Absolute(x)  PyNumber_Absolute(x)
#endif

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

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

/* PyObjectLookupSpecial.proto */
#if CYTHON_USE_PYTYPE_LOOKUP && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_LookupSpecial(PyObject* obj, PyObject* attr_name) {
    PyObject *res;
    PyTypeObject *tp = Py_TYPE(obj);
#if PY_MAJOR_VERSION < 3
    if (unlikely(PyInstance_Check(obj)))
        return __Pyx_PyObject_GetAttrStr(obj, attr_name);
#endif
    res = _PyType_Lookup(tp, attr_name);
    if (likely(res)) {
        descrgetfunc f = Py_TYPE(res)->tp_descr_get;
        if (!f) {
            Py_INCREF(res);
        } else {
            res = f(res, obj, (PyObject *)tp);
        }
    } else {
        PyErr_SetObject(PyExc_AttributeError, attr_name);
    }
    return res;
}
#else
#define __Pyx_PyObject_LookupSpecial(o,n) __Pyx_PyObject_GetAttrStr(o,n)
#endif

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

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

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

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

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

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

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

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

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

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

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

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

/* 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

/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

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

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

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif

/* PatchModuleWithCoroutine.proto */
static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code);

/* PatchInspect.proto */
static PyObject* __Pyx_patch_inspect(PyObject* module);

/* GetNameInClass.proto */
#define __Pyx_GetNameInClass(var, nmspace, name)  (var) = __Pyx__GetNameInClass(nmspace, name)
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name);

/* 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

/* 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);

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

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

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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

/* 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

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

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

/* CIntFromPy.proto */
static CYTHON_INLINE Py_intptr_t __Pyx_PyInt_As_Py_intptr_t(PyObject *);

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

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

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

/* CoroutineBase.proto */
typedef PyObject *(*__pyx_coroutine_body_t)(PyObject *, PyThreadState *, PyObject *);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_ExcInfoStruct  _PyErr_StackItem
#else
typedef struct {
    PyObject *exc_type;
    PyObject *exc_value;
    PyObject *exc_traceback;
} __Pyx_ExcInfoStruct;
#endif
typedef struct {
    PyObject_HEAD
    __pyx_coroutine_body_t body;
    PyObject *closure;
    __Pyx_ExcInfoStruct gi_exc_state;
    PyObject *gi_weakreflist;
    PyObject *classobj;
    PyObject *yieldfrom;
    PyObject *gi_name;
    PyObject *gi_qualname;
    PyObject *gi_modulename;
    PyObject *gi_code;
    PyObject *gi_frame;
    int resume_label;
    char is_running;
} __pyx_CoroutineObject;
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
    PyTypeObject *type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
    PyObject *name, PyObject *qualname, PyObject *module_name);
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name);
static CYTHON_INLINE void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *self);
static int __Pyx_Coroutine_clear(PyObject *self);
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value);
static PyObject *__Pyx_Coroutine_Close(PyObject *self);
static PyObject *__Pyx_Coroutine_Throw(PyObject *gen, PyObject *args);
#if CYTHON_USE_EXC_INFO_STACK
#define __Pyx_Coroutine_SwapException(self)
#define __Pyx_Coroutine_ResetAndClearException(self)  __Pyx_Coroutine_ExceptionClear(&(self)->gi_exc_state)
#else
#define __Pyx_Coroutine_SwapException(self) {\
    __Pyx_ExceptionSwap(&(self)->gi_exc_state.exc_type, &(self)->gi_exc_state.exc_value, &(self)->gi_exc_state.exc_traceback);\
    __Pyx_Coroutine_ResetFrameBackpointer(&(self)->gi_exc_state);\
    }
#define __Pyx_Coroutine_ResetAndClearException(self) {\
    __Pyx_ExceptionReset((self)->gi_exc_state.exc_type, (self)->gi_exc_state.exc_value, (self)->gi_exc_state.exc_traceback);\
    (self)->gi_exc_state.exc_type = (self)->gi_exc_state.exc_value = (self)->gi_exc_state.exc_traceback = NULL;\
    }
#endif
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__pyx_tstate, pvalue)
#else
#define __Pyx_PyGen_FetchStopIterationValue(pvalue)\
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, pvalue)
#endif
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *tstate, PyObject **pvalue);
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state);

/* PatchGeneratorABC.proto */
static int __Pyx_patch_abc(void);

/* Generator.proto */
#define __Pyx_Generator_USED
static PyTypeObject *__pyx_GeneratorType = 0;
#define __Pyx_Generator_CheckExact(obj) (Py_TYPE(obj) == __pyx_GeneratorType)
#define __Pyx_Generator_New(body, code, closure, name, qualname, module_name)\
    __Pyx__Coroutine_New(__pyx_GeneratorType, body, code, closure, name, qualname, module_name)
static PyObject *__Pyx_Generator_Next(PyObject *self);
static int __pyx_Generator_init(void);

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

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

static PyObject *__pyx_f_5vegas_6_vegas_11AdaptiveMap_map(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, __Pyx_memviewslice __pyx_v_y, __Pyx_memviewslice __pyx_v_x, __Pyx_memviewslice __pyx_v_jac, int __pyx_skip_dispatch, struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_map *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_5vegas_6_vegas_11AdaptiveMap_invmap(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, __Pyx_memviewslice __pyx_v_x, __Pyx_memviewslice __pyx_v_y, __Pyx_memviewslice __pyx_v_jac, int __pyx_skip_dispatch, struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_invmap *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_5vegas_6_vegas_11AdaptiveMap_add_training_data(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, __Pyx_memviewslice __pyx_v_y, __Pyx_memviewslice __pyx_v_f, int __pyx_skip_dispatch, struct __pyx_opt_args_5vegas_6_vegas_11AdaptiveMap_add_training_data *__pyx_optional_args); /* proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/

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

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

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

/* Module declarations from '__builtin__' */

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

/* Module declarations from 'cpython' */

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

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

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

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_generic = 0;
static PyTypeObject *__pyx_ptype_5numpy_number = 0;
static PyTypeObject *__pyx_ptype_5numpy_integer = 0;
static PyTypeObject *__pyx_ptype_5numpy_signedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_unsignedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_inexact = 0;
static PyTypeObject *__pyx_ptype_5numpy_floating = 0;
static PyTypeObject *__pyx_ptype_5numpy_complexfloating = 0;
static PyTypeObject *__pyx_ptype_5numpy_flexible = 0;
static PyTypeObject *__pyx_ptype_5numpy_character = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;

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

/* Module declarations from 'cython' */

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

/* Module declarations from 'vegas._vegas' */
static PyTypeObject *__pyx_ptype_5vegas_6_vegas_BatchIntegrand = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas_RBatchIntegrand = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas_AdaptiveMap = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas_Integrator = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas_VegasResult = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas_VegasIntegrand = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas__BatchIntegrand_from_NonBatch = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas__BatchIntegrand_from_Batch = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas__BatchIntegrand_from_BatchDict = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas___pyx_scope_struct__show_grid = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas___pyx_scope_struct_1_random_batch = 0;
static PyTypeObject *__pyx_ptype_5vegas_6_vegas___pyx_scope_struct_2_random = 0;
static PyTypeObject *__pyx_array_type = 0;
static PyTypeObject *__pyx_MemviewEnum_type = 0;
static PyTypeObject *__pyx_memoryview_type = 0;
static PyTypeObject *__pyx_memoryviewslice_type = 0;
static double __pyx_v_5vegas_6_vegas_TINY;
static double __pyx_v_5vegas_6_vegas_HUGE;
static double __pyx_v_5vegas_6_vegas_EPSILON;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle_VegasResult__set_state(struct __pyx_obj_5vegas_6_vegas_VegasResult *, PyObject *); /*proto*/
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle_VegasIntegrand__set_state(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *, PyObject *); /*proto*/
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle__BatchIntegrand_from_NonBatch__set_state(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *, PyObject *); /*proto*/
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle__BatchIntegrand_from_NonBatchDict__set_state(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *, PyObject *); /*proto*/
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle__BatchIntegrand_from_Batch__set_state(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *, PyObject *); /*proto*/
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle__BatchIntegrand_from_BatchDict__set_state(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *, PyObject *); /*proto*/
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle_BatchIntegrand__set_state(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *, PyObject *); /*proto*/
static PyObject *__pyx_f_5vegas_6_vegas___pyx_unpickle_RBatchIntegrand__set_state(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *, PyObject *); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
static void *__pyx_align_pointer(void *, size_t); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_double_t = { "double_t", NULL, sizeof(__pyx_t_5numpy_double_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn_npy_intp = { "npy_intp", NULL, sizeof(npy_intp), { 0 }, 0, IS_UNSIGNED(npy_intp) ? 'U' : 'I', IS_UNSIGNED(npy_intp), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float_t = { "float_t", NULL, sizeof(__pyx_t_5numpy_float_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
#define __Pyx_MODULE_NAME "vegas._vegas"
extern int __pyx_module_is_main_vegas___vegas;
int __pyx_module_is_main_vegas___vegas = 0;

/* Implementation of 'vegas._vegas' */
static PyObject *__pyx_builtin_staticmethod;
static PyObject *__pyx_builtin_property;
static PyObject *__pyx_builtin_object;
static PyObject *__pyx_builtin_min;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_max;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_format;
static PyObject *__pyx_builtin_super;
static PyObject *__pyx_builtin_open;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_IndexError;
static const char __pyx_k_O[] = "O";
static const char __pyx_k_Q[] = "  Q = ";
static const char __pyx_k_T[] = "T";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_f[] = "f";
static const char __pyx_k_g[] = "g";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_k[] = "k-";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_p[] = "p";
static const char __pyx_k_q[] = "q";
static const char __pyx_k_r[] = "r";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_u[] = "u";
static const char __pyx_k_v[] = "_v";
static const char __pyx_k_w[] = "w";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_2d[] = "2d";
static const char __pyx_k_2f[] = ".2f";
static const char __pyx_k_3d[] = "%3d";
static const char __pyx_k_6g[] = ".6g";
static const char __pyx_k__5[] = "] = ";
static const char __pyx_k__6[] = "\n";
static const char __pyx_k_dx[] = "dx";
static const char __pyx_k_dy[] = "dy";
static const char __pyx_k_fx[] = "fx";
static const char __pyx_k_i0[] = "i0";
static const char __pyx_k_i1[] = "i1";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_iy[] = "iy";
static const char __pyx_k_ka[] = "ka";
static const char __pyx_k_ng[] = "ng";
static const char __pyx_k_ni[] = "ni";
static const char __pyx_k_ns[] = "ns";
static const char __pyx_k_nx[] = "nx";
static const char __pyx_k_ny[] = "ny";
static const char __pyx_k_os[] = "os";
static const char __pyx_k_s2[] = "_s2";
static const char __pyx_k_t0[] = "t0";
static const char __pyx_k_v2[] = "_v2";
static const char __pyx_k_wb[] = "wb";
static const char __pyx_k_y0[] = "y0";
static const char __pyx_k_15s[] = "%-15s";
static const char __pyx_k_MPI[] = "MPI";
static const char __pyx_k_Q_2[] = "Q";
static const char __pyx_k_Q_3[] = "_Q";
static const char __pyx_k_SVD[] = "SVD";
static const char __pyx_k__12[] = " > ";
static const char __pyx_k__17[] = "";
static const char __pyx_k__18[] = ", ";
static const char __pyx_k__20[] = "*";
static const char __pyx_k__49[] = ": ";
static const char __pyx_k__68[] = "-";
static const char __pyx_k__77[] = ".";
static const char __pyx_k_abs[] = "abs";
static const char __pyx_k_acc[] = "acc";
static const char __pyx_k_add[] = "add";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_ans[] = "ans";
static const char __pyx_k_any[] = "any";
static const char __pyx_k_buf[] = "buf";
static const char __pyx_k_cov[] = "_cov";
static const char __pyx_k_del[] = "__del__";
static const char __pyx_k_dim[] = "dim";
static const char __pyx_k_doc[] = "doc";
static const char __pyx_k_dof[] = "dof";
static const char __pyx_k_dot[] = "dot";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_fcn[] = "fcn";
static const char __pyx_k_fdv[] = "fdv";
static const char __pyx_k_fig[] = "fig";
static const char __pyx_k_fmt[] = "fmt";
static const char __pyx_k_idx[] = "idx";
static const char __pyx_k_inc[] = "inc";
static const char __pyx_k_inv[] = "_inv";
static const char __pyx_k_itn[] = "itn";
static const char __pyx_k_jac[] = "jac";
static const char __pyx_k_k_2[] = "k";
static const char __pyx_k_key[] = "key";
static const char __pyx_k_log[] = "log";
static const char __pyx_k_map[] = "map";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_mpi[] = "mpi";
static const char __pyx_k_n_2[] = "_n";
static const char __pyx_k_n_f[] = "n_f";
static const char __pyx_k_nan[] = "nan";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_not[] = " not ";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_plt[] = "plt";
static const char __pyx_k_res[] = "res";
static const char __pyx_k_set[] = "set";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_tmp[] = "tmp";
static const char __pyx_k_v_2[] = "v";
static const char __pyx_k_var[] = "var";
static const char __pyx_k_wgt[] = "wgt";
static const char __pyx_k_x_d[] = "x[%d]";
static const char __pyx_k_1_s2[] = "_1_s2";
static const char __pyx_k_8_2f[] = "%8.2f";
static const char __pyx_k_GVar[] = "GVar";
static const char __pyx_k_Pool[] = "Pool";
static const char __pyx_k_RAvg[] = "RAvg";
static const char __pyx_k_True[] = "True";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_atol[] = "atol";
static const char __pyx_k_axes[] = "axes";
static const char __pyx_k_axis[] = "axis";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_beta[] = "beta";
static const char __pyx_k_chi2[] = "chi2";
static const char __pyx_k_comm[] = "comm";
static const char __pyx_k_data[] = "data";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_draw[] = "draw";
static const char __pyx_k_dump[] = "dump";
static const char __pyx_k_dv_y[] = "dv_y";
static const char __pyx_k_eval[] = "eval";
static const char __pyx_k_exit[] = "__exit__";
static const char __pyx_k_fabs[] = "fabs";
static const char __pyx_k_flat[] = "flat";
static const char __pyx_k_full[] = "full";
static const char __pyx_k_gcov[] = "gcov";
static const char __pyx_k_grid[] = "grid";
static const char __pyx_k_gvar[] = "gvar";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_intp[] = "intp";
static const char __pyx_k_join[] = "join";
static const char __pyx_k_keys[] = "keys";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_math[] = "math";
static const char __pyx_k_mean[] = "mean";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_newg[] = "newg";
static const char __pyx_k_ninc[] = "ninc";
static const char __pyx_k_nitn[] = "nitn";
static const char __pyx_k_ones[] = "ones";
static const char __pyx_k_open[] = "open";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_plot[] = "plot";
static const char __pyx_k_pool[] = "pool";
static const char __pyx_k_prod[] = "prod";
static const char __pyx_k_rank[] = "rank";
static const char __pyx_k_ravg[] = "ravg";
static const char __pyx_k_resi[] = "resi";
static const char __pyx_k_root[] = "root";
static const char __pyx_k_rtol[] = "rtol";
static const char __pyx_k_save[] = "save";
static const char __pyx_k_sdev[] = "sdev";
static const char __pyx_k_seed[] = "seed";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_show[] = "show";
static const char __pyx_k_side[] = "side";
static const char __pyx_k_sigf[] = "sigf";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_v_s2[] = "_v_s2";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_xlim[] = "xlim";
static const char __pyx_k_ylim[] = "ylim";
static const char __pyx_k_yran[] = "yran";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_False[] = "False";
static const char __pyx_k_acc_f[] = "acc_f";
static const char __pyx_k_adapt[] = "adapt";
static const char __pyx_k_alpha[] = "alpha";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_avg_f[] = "avg_f";
static const char __pyx_k_bcast[] = "bcast";
static const char __pyx_k_bdict[] = "bdict";
static const char __pyx_k_begin[] = "begin";
static const char __pyx_k_buf_2[] = "_buf";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_clear[] = "clear";
static const char __pyx_k_clock[] = "clock";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_cov_2[] = "cov";
static const char __pyx_k_doc_2[] = "__doc__";
static const char __pyx_k_dof_2[] = "_dof";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_dumps[] = "dumps";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_enter[] = "__enter__";
static const char __pyx_k_equal[] = "equal";
static const char __pyx_k_error[] = "error";
static const char __pyx_k_event[] = "event";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_float[] = "float_";
static const char __pyx_k_flush[] = "flush";
static const char __pyx_k_gmean[] = "gmean";
static const char __pyx_k_hcube[] = "hcube";
static const char __pyx_k_isnan[] = "isnan";
static const char __pyx_k_itn_2[] = "    itn ";
static const char __pyx_k_jac1d[] = "jac1d";
static const char __pyx_k_kargs[] = "kargs";
static const char __pyx_k_loads[] = "loads";
static const char __pyx_k_major[] = "major";
static const char __pyx_k_nchar[] = "nchar";
static const char __pyx_k_neval[] = "neval";
static const char __pyx_k_ngrid[] = "ngrid";
static const char __pyx_k_nproc[] = "nproc";
static const char __pyx_k_nsigf[] = "nsigf";
static const char __pyx_k_nskip[] = "nskip";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_odict[] = "odict";
static const char __pyx_k_ofile[] = "ofile";
static const char __pyx_k_order[] = "order";
static const char __pyx_k_outer[] = "outer";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_right[] = "right";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_sigf2[] = "sigf2";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_state[] = "state";
static const char __pyx_k_sum_f[] = "sum_f";
static const char __pyx_k_super[] = "super";
static const char __pyx_k_tgvar[] = "tgvar";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_title[] = "title";
static const char __pyx_k_tmp_f[] = "tmp_f";
static const char __pyx_k_trace[] = "trace";
static const char __pyx_k_v2_s2[] = "_v2_s2";
static const char __pyx_k_xgrid[] = "xgrid";
static const char __pyx_k_ygrid[] = "ygrid";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_answer[] = "answer";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_axes_2[] = "axes ";
static const char __pyx_k_axis_2[] = "    axis ";
static const char __pyx_k_axis_d[] = "axis %d";
static const char __pyx_k_buffer[] = "buffer";
static const char __pyx_k_canvas[] = "canvas";
static const char __pyx_k_chi2_2[] = "_chi2";
static const char __pyx_k_covers[] = " covers ";
static const char __pyx_k_decomp[] = "decomp";
static const char __pyx_k_dict_2[] = "_dict";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_eval_2[] = "_eval";
static const char __pyx_k_extend[] = "extend";
static const char __pyx_k_f_ninc[] = "f_ninc";
static const char __pyx_k_figure[] = "figure";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_gammaQ[] = "gammaQ";
static const char __pyx_k_grid_2[] = "    grid[";
static const char __pyx_k_grid_d[] = "grid_d";
static const char __pyx_k_gvlist[] = "gvlist";
static const char __pyx_k_ihcube[] = "ihcube";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_invcov[] = "_invcov";
static const char __pyx_k_invmap[] = "invmap";
static const char __pyx_k_lbatch[] = "lbatch";
static const char __pyx_k_matrix[] = "matrix";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_mpi4py[] = "mpi4py";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_nhcube[] = "nhcube";
static const char __pyx_k_ninc_1[] = "ninc < 1: ";
static const char __pyx_k_nitn_2[] = "_nitn";
static const char __pyx_k_nstrat[] = "nstrat";
static const char __pyx_k_object[] = "object";
static const char __pyx_k_offset[] = "offset";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_prefix[] = "prefix";
static const char __pyx_k_random[] = "random";
static const char __pyx_k_rarray[] = "rarray";
static const char __pyx_k_rbatch[] = "rbatch";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_region[] = "region";
static const char __pyx_k_scalar[] = "scalar";
static const char __pyx_k_shrink[] = "shrink";
static const char __pyx_k_stdout[] = "stdout";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_svdcut[] = "svdcut";
static const char __pyx_k_time_2[] = "  time = ";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_wgtavg[] = "wgtavg";
static const char __pyx_k_xlabel[] = "xlabel";
static const char __pyx_k_xrange[] = "xrange";
static const char __pyx_k_y_ninc[] = "y_ninc";
static const char __pyx_k_ylabel[] = "ylabel";
static const char __pyx_k_yrange[] = "yrange";
static const char __pyx_k_GVarRef[] = "GVarRef";
static const char __pyx_k_RAvg__Q[] = "RAvg._Q";
static const char __pyx_k_asarray[] = "asarray";
static const char __pyx_k_average[] = "average";
static const char __pyx_k_chi2dof[] = "chi2dof";
static const char __pyx_k_dy_ninc[] = "dy_ninc";
static const char __pyx_k_epsilon[] = "epsilon";
static const char __pyx_k_evalcov[] = "evalcov";
static const char __pyx_k_fcntype[] = "fcntype";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_grid_xx[] = "    grid[xx] = ";
static const char __pyx_k_i_start[] = "i_start";
static const char __pyx_k_inspect[] = "inspect";
static const char __pyx_k_itn_ans[] = "itn_ans";
static const char __pyx_k_max_mem[] = "max_mem";
static const char __pyx_k_maxsize[] = "maxsize";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_neval_2[] = "    neval = ";
static const char __pyx_k_new_inc[] = "new_inc";
static const char __pyx_k_old_val[] = "old_val";
static const char __pyx_k_onpress[] = "onpress";
static const char __pyx_k_outfile[] = "outfile";
static const char __pyx_k_plotter[] = "plotter";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_product[] = "product";
static const char __pyx_k_randint[] = "randint";
static const char __pyx_k_rescale[] = "rescale";
static const char __pyx_k_reshape[] = "reshape";
static const char __pyx_k_results[] = "results";
static const char __pyx_k_saveall[] = "saveall";
static const char __pyx_k_starmap[] = "starmap";
static const char __pyx_k_strides[] = "strides";
static const char __pyx_k_subtype[] = "subtype";
static const char __pyx_k_sum_fdv[] = "sum_fdv";
static const char __pyx_k_summary[] = "summary";
static const char __pyx_k_uniform[] = "uniform";
static const char __pyx_k_y_shape[] = "y_shape";
static const char __pyx_k_yield_y[] = "yield_y";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_Get_rank[] = "Get_rank";
static const char __pyx_k_Get_size[] = "Get_size";
static const char __pyx_k_RAvgDict[] = "RAvgDict";
static const char __pyx_k_RAvg_add[] = "RAvg.add";
static const char __pyx_k_analyzer[] = "analyzer";
static const char __pyx_k_chi2_dof[] = "\n    chi2/dof = ";
static const char __pyx_k_defaults[] = "defaults";
static const char __pyx_k_extended[] = "extended";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_integral[] = "integral";
static const char __pyx_k_invcov_2[] = "invcov";
static const char __pyx_k_invcov_v[] = "_invcov_v";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_linedata[] = "linedata";
static const char __pyx_k_linspace[] = "linspace";
static const char __pyx_k_mpi_eval[] = "_mpi_eval";
static const char __pyx_k_mpi_rank[] = "mpi_rank";
static const char __pyx_k_new_grid[] = "new_grid";
static const char __pyx_k_new_ninc[] = "new_ninc";
static const char __pyx_k_old_ninc[] = "old_ninc";
static const char __pyx_k_plotdata[] = "plotdata";
static const char __pyx_k_property[] = "property";
static const char __pyx_k_protocol[] = "protocol";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_reporter[] = "reporter";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_settings[] = "settings";
static const char __pyx_k_sum_fdv2[] = "sum_fdv2";
static const char __pyx_k_sync_ran[] = "sync_ran";
static const char __pyx_k_tabulate[] = "tabulate";
static const char __pyx_k_tmp_ninc[] = "tmp_ninc";
static const char __pyx_k_training[] = "training";
static const char __pyx_k_uses_jac[] = "uses_jac";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_weighted[] = "weighted";
static const char __pyx_k_Allgather[] = "Allgather";
static const char __pyx_k_RAvgArray[] = "RAvgArray";
static const char __pyx_k_RAvg__dof[] = "RAvg._dof";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_all_itn_s[] = "\n all itn's: ";
static const char __pyx_k_avg_neval[] = "_avg_neval";
static const char __pyx_k_converged[] = "converged";
static const char __pyx_k_cpu_count[] = "cpu_count";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_fill_sigf[] = "_fill_sigf";
static const char __pyx_k_functools[] = "functools";
static const char __pyx_k_integrand[] = "integrand";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_precision[] = "precision";
static const char __pyx_k_processes[] = "processes";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_show_grid[] = "show_grid";
static const char __pyx_k_sum_neval[] = "sum_neval";
static const char __pyx_k_tmp_hcube[] = "tmp_hcube";
static const char __pyx_k_vegas_pyx[] = "_vegas.pyx";
static const char __pyx_k_BufferDict[] = "BufferDict";
static const char __pyx_k_COMM_WORLD[] = "COMM_WORLD";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_Integrator[] = "Integrator";
static const char __pyx_k_MPI_rank_0[] = "MPI rank (>=0)";
static const char __pyx_k_RAvg__chi2[] = "RAvg._chi2";
static const char __pyx_k_RAvg__nitn[] = "RAvg._nitn";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_bad_nstrat[] = "bad nstrat: ";
static const char __pyx_k_chi2_dof_2[] = "chi2/dof";
static const char __pyx_k_chi2_dof_3[] = "chi2_dof";
static const char __pyx_k_dictionary[] = "dictionary";
static const char __pyx_k_float_info[] = "float_info";
static const char __pyx_k_hcube_base[] = "hcube_base";
static const char __pyx_k_integrator[] = "integrator";
static const char __pyx_k_last_neval[] = "last_neval";
static const char __pyx_k_max_10_exp[] = "max_10_exp";
static const char __pyx_k_max_nhcube[] = "max_nhcube";
static const char __pyx_k_min_10_exp[] = "min_10_exp";
static const char __pyx_k_mpi4py_MPI[] = "mpi4py.MPI";
static const char __pyx_k_neval_frac[] = "neval_frac";
static const char __pyx_k_neval_sigf[] = "neval_sigf";
static const char __pyx_k_processors[] = "  processors = ";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_random_vec[] = "random_vec";
static const char __pyx_k_v_invcov_v[] = "_v_invcov_v";
static const char __pyx_k_AdaptiveMap[] = "AdaptiveMap";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_OrderedDict[] = "OrderedDict";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_RAvgDict__Q[] = "RAvgDict._Q";
static const char __pyx_k_RAvg___init[] = "RAvg.__init__";
static const char __pyx_k_RAvg_extend[] = "RAvg.extend";
static const char __pyx_k_VegasResult[] = "VegasResult";
static const char __pyx_k_avg_neval_2[] = "avg_neval";
static const char __pyx_k_collections[] = "collections";
static const char __pyx_k_concatenate[] = "concatenate";
static const char __pyx_k_fig_caption[] = "fig_caption";
static const char __pyx_k_hcube_array[] = "hcube_array";
static const char __pyx_k_itn_results[] = "itn_results";
static const char __pyx_k_maxinc_axis[] = "maxinc_axis";
static const char __pyx_k_mpl_connect[] = "mpl_connect";
static const char __pyx_k_neval_batch[] = "neval_batch";
static const char __pyx_k_neval_hcube[] = "neval_hcube";
static const char __pyx_k_slice_shape[] = "slice_shape";
static const char __pyx_k_wgt_average[] = "wgt average";
static const char __pyx_k_yield_hcube[] = "yield_hcube";
static const char __pyx_k_MPIintegrand[] = "MPIintegrand";
static const char __pyx_k_RAvgArray__Q[] = "RAvgArray._Q";
static const char __pyx_k_RAvgDict_add[] = "RAvgDict.add";
static const char __pyx_k_RAvg_summary[] = "RAvg.summary";
static const char __pyx_k_VecIntegrand[] = "VecIntegrand";
static const char __pyx_k_array2string[] = "array2string";
static const char __pyx_k_bad_nstrat_s[] = "bad nstrat = %s";
static const char __pyx_k_extract_grid[] = "extract_grid";
static const char __pyx_k_get_mpi_rank[] = "_get_mpi_rank";
static const char __pyx_k_gvar_factory[] = "gvar_factory";
static const char __pyx_k_internaldata[] = "internaldata";
static const char __pyx_k_make_uniform[] = "make_uniform";
static const char __pyx_k_minimize_mem[] = "minimize_mem";
static const char __pyx_k_neval_h_cube[] = "  neval/h-cube = ";
static const char __pyx_k_nhcube_batch[] = "nhcube_batch";
static const char __pyx_k_nx_x_shape_0[] = "nx > x.shape[0]: ";
static const char __pyx_k_ny_y_shape_0[] = "ny > y.shape[0]: ";
static const char __pyx_k_perf_counter[] = "perf_counter";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_random_batch[] = "random_batch";
static const char __pyx_k_remove_gvars[] = "remove_gvars";
static const char __pyx_k_reporter_end[] = "reporter.end";
static const char __pyx_k_searchsorted[] = "searchsorted";
static const char __pyx_k_staticmethod[] = "staticmethod";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_superpickled[] = "superpickled";
static const char __pyx_k_use_setstate[] = "use_setstate";
static const char __pyx_k_vecintegrand[] = "vecintegrand";
static const char __pyx_k_vegas__vegas[] = "vegas._vegas";
static const char __pyx_k_version_info[] = "version_info";
static const char __pyx_k_RAvgArray_add[] = "RAvgArray.add";
static const char __pyx_k_RAvgDict__dof[] = "RAvgDict._dof";
static const char __pyx_k_format_result[] = "format_result";
static const char __pyx_k_h_cubes_batch[] = "                h-cubes/batch = ";
static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_AttributeError[] = "AttributeError";
static const char __pyx_k_BatchIntegrand[] = "BatchIntegrand";
static const char __pyx_k_Integrator_set[] = "Integrator.set";
static const char __pyx_k_RAvgArray__dof[] = "RAvgArray._dof";
static const char __pyx_k_RAvgArray__inv[] = "RAvgArray._inv";
static const char __pyx_k_RAvgDict__chi2[] = "RAvgDict._chi2";
static const char __pyx_k_RAvgDict__nitn[] = "RAvgDict._nitn";
static const char __pyx_k_RAvg_converged[] = "RAvg.converged";
static const char __pyx_k_VegasIntegrand[] = "VegasIntegrand";
static const char __pyx_k_adaptive_strat[] = "adaptive_strat";
static const char __pyx_k_array_finalize[] = "__array_finalize__";
static const char __pyx_k_batchintegrand[] = "batchintegrand";
static const char __pyx_k_ds_ds_ds_ds_ds[] = "%%%ds   %%-%ds %%-%ds %%%ds %%%ds\n";
static const char __pyx_k_minimize_mem_s[] = "    minimize_mem = %s\n";
static const char __pyx_k_remove_gvars_2[] = "_remove_gvars";
static const char __pyx_k_reporter_begin[] = "reporter.begin";
static const char __pyx_k_uniform_nstrat[] = "uniform_nstrat";
static const char __pyx_k_AdaptiveMap_jac[] = "AdaptiveMap.jac";
static const char __pyx_k_AdaptiveMap_map[] = "AdaptiveMap.map";
static const char __pyx_k_LBatchIntegrand[] = "LBatchIntegrand";
static const char __pyx_k_RAvgArray___new[] = "RAvgArray.__new__";
static const char __pyx_k_RAvgArray__chi2[] = "RAvgArray._chi2";
static const char __pyx_k_RAvgArray__nitn[] = "RAvgArray._nitn";
static const char __pyx_k_RAvgDict___init[] = "RAvgDict.__init__";
static const char __pyx_k_RAvgDict_extend[] = "RAvgDict.extend";
static const char __pyx_k_RAvg__avg_neval[] = "RAvg._avg_neval";
static const char __pyx_k_RBatchIntegrand[] = "RBatchIntegrand";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_adapt_to_errors[] = "adapt_to_errors";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_avg_neval_hcube[] = "avg_neval_hcube";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_key_press_event[] = "key_press_event";
static const char __pyx_k_lbatchintegrand[] = "lbatchintegrand";
static const char __pyx_k_max_neval_hcube[] = "max_neval_hcube";
static const char __pyx_k_multiprocessing[] = "multiprocessing";
static const char __pyx_k_neval_too_small[] = "neval too small: {} < {}";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_rbatchintegrand[] = "rbatchintegrand";
static const char __pyx_k_reporter___init[] = "reporter.__init__";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_update_analyzer[] = "update_analyzer";
static const char __pyx_k_Integrator___del[] = "Integrator.__del__";
static const char __pyx_k_RAvgArray___init[] = "RAvgArray.__init__";
static const char __pyx_k_RAvgArray_extend[] = "RAvgArray.extend";
static const char __pyx_k_RAvgDict_summary[] = "RAvgDict.summary";
static const char __pyx_k_RAvg___reduce_ex[] = "RAvg.__reduce_ex__";
static const char __pyx_k_VegasResult_save[] = "VegasResult.save";
static const char __pyx_k_adapt_to_samples[] = "adapt_to_samples";
static const char __pyx_k_bad_directions_s[] = "bad directions: %s";
static const char __pyx_k_distribute_gvars[] = "distribute_gvars";
static const char __pyx_k_AdaptiveMap_adapt[] = "AdaptiveMap.adapt";
static const char __pyx_k_AdaptiveMap_clear[] = "AdaptiveMap.clear";
static const char __pyx_k_AdaptiveMap_jac1d[] = "AdaptiveMap.jac1d";
static const char __pyx_k_Integrator_random[] = "Integrator.random";
static const char __pyx_k_RAvgArray_summary[] = "RAvgArray.summary";
static const char __pyx_k_adapt_to_errors_s[] = "    adapt_to_errors = %s\n";
static const char __pyx_k_add_training_data[] = "add_training_data";
static const char __pyx_k_ascontiguousarray[] = "ascontiguousarray";
static const char __pyx_k_badly_formed_ninc[] = "badly formed ninc = ";
static const char __pyx_k_diag_indices_from[] = "diag_indices_from";
static const char __pyx_k_increments_axis_s[] = "                increments/axis = %s\n";
static const char __pyx_k_matplotlib_pyplot[] = "matplotlib.pyplot";
static const char __pyx_k_neval_hcube_range[] = "neval_hcube_range";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_AdaptiveMap_invmap[] = "AdaptiveMap.invmap";
static const char __pyx_k_AdaptiveMap_random[] = "AdaptiveMap.random";
static const char __pyx_k_AdaptiveMap_region[] = "AdaptiveMap.region";
static const char __pyx_k_RAvgDict_converged[] = "RAvgDict.converged";
static const char __pyx_k_RAvg__remove_gvars[] = "RAvg._remove_gvars";
static const char __pyx_k_VegasResult_update[] = "VegasResult.update";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_distribute_gvars_2[] = "_distribute_gvars";
static const char __pyx_k_not_enough_samples[] = "not enough samples: {}";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_synchronize_random[] = "synchronize_random";
static const char __pyx_k_Integrator_Settings[] = "Integrator Settings:\n";
static const char __pyx_k_Integrator___reduce[] = "Integrator.__reduce__";
static const char __pyx_k_Integrator_settings[] = "Integrator.settings";
static const char __pyx_k_RAvgArray_converged[] = "RAvgArray.converged";
static const char __pyx_k_RAvgDict__avg_neval[] = "RAvgDict._avg_neval";
static const char __pyx_k_VegasResult_saveall[] = "VegasResult.saveall";
static const char __pyx_k_absolute_accuracy_g[] = "  absolute accuracy = %g\n\n";
static const char __pyx_k_accuracy_relative_g[] = "    accuracy: relative = %g";
static const char __pyx_k_add_training_data_2[] = "_add_training_data";
static const char __pyx_k_ran_array_generator[] = "ran_array_generator";
static const char __pyx_k_AdaptiveMap___reduce[] = "AdaptiveMap.__reduce__";
static const char __pyx_k_AdaptiveMap_settings[] = "AdaptiveMap.settings";
static const char __pyx_k_Number_of_iterations[] = "Number of iterations.";
static const char __pyx_k_RAvgArray___setstate[] = "RAvgArray.__setstate__";
static const char __pyx_k_RAvgArray__avg_neval[] = "RAvgArray._avg_neval";
static const char __pyx_k_RAvgDict___reduce_ex[] = "RAvgDict.__reduce_ex__";
static const char __pyx_k_neval_2_required_not[] = "neval>2 required, not ";
static const char __pyx_k_ninc_has_wrong_shape[] = "ninc has wrong shape -- {}";
static const char __pyx_k_no_attribute_named_s[] = "no attribute named \"%s\"";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_AdaptiveMap_show_grid[] = "AdaptiveMap.show_grid";
static const char __pyx_k_Integrator___setstate[] = "Integrator.__setstate__";
static const char __pyx_k_Integrator__fill_sigf[] = "Integrator._fill_sigf";
static const char __pyx_k_RAvgArray___reduce_ex[] = "RAvgArray.__reduce_ex__";
static const char __pyx_k_VegasResult_converged[] = "VegasResult.converged";
static const char __pyx_k_collect_training_data[] = "_collect_training_data";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_RAvgDict__remove_gvars[] = "RAvgDict._remove_gvars";
static const char __pyx_k_RAvg__distribute_gvars[] = "RAvg._distribute_gvars";
static const char __pyx_k_Integrator_random_batch[] = "Integrator.random_batch";
static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static const char __pyx_k_RAvgArray__remove_gvars[] = "RAvgArray._remove_gvars";
static const char __pyx_k_VegasIntegrand_training[] = "VegasIntegrand.training";
static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static const char __pyx_k_incompatible_shape_of_x[] = "incompatible shape of x: {}";
static const char __pyx_k_init___locals__mpi_eval[] = "__init__.<locals>._mpi_eval";
static const char __pyx_k_number_of_strata_axis_s[] = "    number of:  strata/axis = %s\n";
static const char __pyx_k_AdaptiveMap_extract_grid[] = "AdaptiveMap.extract_grid";
static const char __pyx_k_AdaptiveMap_make_uniform[] = "AdaptiveMap.make_uniform";
static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static const char __pyx_k_Integrator__get_mpi_rank[] = "Integrator._get_mpi_rank";
static const char __pyx_k_pyx_unpickle_VegasResult[] = "__pyx_unpickle_VegasResult";
static const char __pyx_k_s_press_n_p_q_or_a_digit[] = "%s   (press 'n', 'p', 'q' or a digit)";
static const char __pyx_k_show_grid_locals_onpress[] = "show_grid.<locals>.onpress";
static const char __pyx_k_BatchIntegrand_from_Batch[] = "_BatchIntegrand_from_Batch";
static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static const char __pyx_k_chi_2_of_weighted_average[] = "*chi**2* of weighted average.";
static const char __pyx_k_nstrat_d_has_wrong_length[] = "nstrat[d] has wrong length: ";
static const char __pyx_k_show_grid_locals_plotdata[] = "show_grid.<locals>.plotdata";
static const char __pyx_k_RAvgArray___array_finalize[] = "RAvgArray.__array_finalize__";
static const char __pyx_k_RAvgDict__distribute_gvars[] = "RAvgDict._distribute_gvars";
static const char __pyx_k_integrand_evaluates_to_nan[] = "integrand evaluates to nan";
static const char __pyx_k_RAvgArray__distribute_gvars[] = "RAvgArray._distribute_gvars";
static const char __pyx_k_VegasResult___reduce_cython[] = "VegasResult.__reduce_cython__";
static const char __pyx_k_VegasResult_update_analyzer[] = "VegasResult.update_analyzer";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_pyx_unpickle_BatchIntegrand[] = "__pyx_unpickle_BatchIntegrand";
static const char __pyx_k_pyx_unpickle_VegasIntegrand[] = "__pyx_unpickle_VegasIntegrand";
static const char __pyx_k_AdaptiveMap_adapt_to_samples[] = "AdaptiveMap.adapt_to_samples";
static const char __pyx_k_BatchIntegrand_from_NonBatch[] = "_BatchIntegrand_from_NonBatch";
static const char __pyx_k_VegasIntegrand_format_result[] = "VegasIntegrand.format_result";
static const char __pyx_k_pyx_unpickle_RBatchIntegrand[] = "__pyx_unpickle_RBatchIntegrand";
static const char __pyx_k_AdaptiveMap_add_training_data[] = "AdaptiveMap.add_training_data";
static const char __pyx_k_BatchIntegrand_from_BatchDict[] = "_BatchIntegrand_from_BatchDict";
static const char __pyx_k_Integrator_synchronize_random[] = "Integrator.synchronize_random";
static const char __pyx_k_VegasResult___setstate_cython[] = "VegasResult.__setstate_cython__";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_AdaptiveMap__add_training_data[] = "AdaptiveMap._add_training_data";
static const char __pyx_k_Analyzer_class_that_prints_out[] = " Analyzer class that prints out a report, iteration\n    by interation, on how vegas is doing. Parameter ngrid\n    specifies how many x[i]'s to print out from the maps\n    for each axis.\n\n    Args:\n        ngrid (int): Number of grid nodes printed out for\n            each direction. Default is 0.\n    ";
static const char __pyx_k_BatchIntegrand___reduce_cython[] = "BatchIntegrand.__reduce_cython__";
static const char __pyx_k_BatchIntegrand_from_NonBatch_2[] = "_BatchIntegrand_from_NonBatch.__reduce_cython__";
static const char __pyx_k_BatchIntegrand_from_NonBatch_3[] = "_BatchIntegrand_from_NonBatch.__setstate_cython__";
static const char __pyx_k_VegasIntegrand___reduce_cython[] = "VegasIntegrand.__reduce_cython__";
static const char __pyx_k_pyx_unpickle__BatchIntegrand_f[] = "__pyx_unpickle__BatchIntegrand_from_NonBatch";
static const char __pyx_k_shape_of_x_and_f_x_mismatch_vs[] = "shape of x and f(x) mismatch: {} vs {}";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_6g_approx_integrand_evaluations[] = "    %.6g (approx) integrand evaluations in each of %d iterations\n";
static const char __pyx_k_6g_integrand_evaluations_in_eac[] = "    %.6g integrand evaluations in each of %d iterations\n";
static const char __pyx_k_BatchIntegrand_from_BatchDict_2[] = "_BatchIntegrand_from_BatchDict.__reduce_cython__";
static const char __pyx_k_BatchIntegrand_from_BatchDict_3[] = "_BatchIntegrand_from_BatchDict.__setstate_cython__";
static const char __pyx_k_BatchIntegrand_from_Batch___red[] = "_BatchIntegrand_from_Batch.__reduce_cython__";
static const char __pyx_k_BatchIntegrand_from_Batch___set[] = "_BatchIntegrand_from_Batch.__setstate_cython__";
static const char __pyx_k_BatchIntegrand_from_NonBatchDic[] = "_BatchIntegrand_from_NonBatchDict";
static const char __pyx_k_Number_of_degrees_of_freedom_in[] = "Number of degrees of freedom in weighted average.";
static const char __pyx_k_Q_or_p_value_of_weighted_averag[] = "*Q* or *p-value* of weighted average's *chi**2*.";
static const char __pyx_k_RBatchIntegrand___reduce_cython[] = "RBatchIntegrand.__reduce_cython__";
static const char __pyx_k_Running_average_of_array_valued[] = " Running average of array-valued Monte Carlo estimates.\n\n    This class accumulates independent arrays of Monte Carlo\n    estimates (e.g., of an integral) and combines\n    them into an array of averages. It\n    is derived from :class:`numpy.ndarray`. The array\n    elements are :class:`gvar.GVar`\\s (from the ``gvar`` module if\n    present) and represent Gaussian random variables.\n\n    Different estimates are weighted by their\n    inverse covariance matrices if parameter ``weight=True``;\n    otherwise straight, unweighted averages are used.\n    ";
static const char __pyx_k_Running_average_of_dictionary_v[] = " Running average of dictionary-valued Monte Carlo estimates.\n\n    This class accumulates independent dictionaries of Monte Carlo\n    estimates (e.g., of an integral) and combines\n    them into a dictionary of averages. It\n    is derived from :class:`gvar.BufferDict`. The dictionary\n    values are :class:`gvar.GVar`\\s or arrays of :class:`gvar.GVar`\\s.\n\n    Different estimates are weighted by their\n    inverse covariance matrices if parameter ``weight=True``;\n    otherwise straight, unweighted averages are used.\n    ";
static const char __pyx_k_Running_average_of_scalar_value[] = " Running average of scalar-valued Monte Carlo estimates.\n\n    This class accumulates independent Monte Carlo\n    estimates (e.g., of an integral) and combines\n    them into a single average. It\n    is derived from :class:`gvar.GVar` (from\n    the :mod:`gvar` module if it is present) and\n    represents a Gaussian random variable.\n\n    Different estimates are weighted by their\n    inverse variances if parameter ``weight=True``;\n    otherwise straight, unweighted averages are used.\n    ";
static const char __pyx_k_damping_parameters_alpha_g_beta[] = "    damping parameters: alpha = %g  beta= %g\n";
static const char __pyx_k_h_cubes_6g_evaluations_h_cube_d[] = "                h-cubes = %.6g  evaluations/h-cube = %d (min)\n";
static const char __pyx_k_limits_h_cubes_2g_evaluations_h[] = "    limits: h-cubes < %.2g  evaluations/h-cube < %.2g\n";
static const char __pyx_k_matplotlib_not_installed_cannot[] = "matplotlib not installed; cannot show_grid";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_AdaptiveMap__collect_training_da[] = "AdaptiveMap._collect_training_data";
static const char __pyx_k_Average_number_of_integrand_eval[] = "Average number of integrand evaluations per iteration.";
static const char __pyx_k_BatchIntegrand___setstate_cython[] = "BatchIntegrand.__setstate_cython__";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
static const char __pyx_k_Dictionary_g_doesn_t_contain_key[] = "Dictionary g doesn't contain key ";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Incompatible_checksums_s_vs_0x34[] = "Incompatible checksums (%s vs 0x34b136b = (fcn, rbatch, shape, size, slice))";
static const char __pyx_k_Incompatible_checksums_s_vs_0x4d[] = "Incompatible checksums (%s vs 0x4d97352 = (fcn, shape, size))";
static const char __pyx_k_Incompatible_checksums_s_vs_0x68[] = "Incompatible checksums (%s vs 0x68f4b98 = (integrand, result, shape, sum_neval))";
static const char __pyx_k_Incompatible_checksums_s_vs_0x98[] = "Incompatible checksums (%s vs 0x98a9739 = (fcn, size))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xaf[] = "Incompatible checksums (%s vs 0xafeb64a = (fcn))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb8[] = "Incompatible checksums (%s vs 0xb8e8005 = (bdict, comm, eval, fcntype, nproc, rank, shape, size))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xd3[] = "Incompatible checksums (%s vs 0xd3a6d84 = (fcn, rbatch, shape))";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static const char __pyx_k_RBatchIntegrand___setstate_cytho[] = "RBatchIntegrand.__setstate_cython__";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_VegasIntegrand___setstate_cython[] = "VegasIntegrand.__setstate_cython__";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static const char __pyx_k_grid_d_must_have_at_least_2_elem[] = "grid[d] must have at least 2 elements, not {}";
static const char __pyx_k_integrand_given_is_a_class_not_a[] = "integrand given is a class, not an object -- need to initialize?";
static const char __pyx_k_must_specificy_dictionary_or_itn[] = "must specificy dictionary or itn_results";
static const char __pyx_k_must_specificy_shape_or_itn_resu[] = "must specificy shape or itn_results";
static const char __pyx_k_need_to_specify_nproc_nproc_None[] = "need to specify nproc (nproc=None does't work on this machine)";
static const char __pyx_k_neval_frac_but_require_0_neval_f[] = "neval_frac = {} but require 0 <= neval_frac < 1";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_no_of_increments_1_in_AdaptiveMa[] = "no of increments < 1 in AdaptiveMap -- %s";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_pyx_unpickle__BatchIntegrand_f_2[] = "__pyx_unpickle__BatchIntegrand_from_NonBatchDict";
static const char __pyx_k_pyx_unpickle__BatchIntegrand_f_3[] = "__pyx_unpickle__BatchIntegrand_from_Batch";
static const char __pyx_k_pyx_unpickle__BatchIntegrand_f_4[] = "__pyx_unpickle__BatchIntegrand_from_BatchDict";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static const char __pyx_k_work_arrays_too_large_reduce_max[] = "work arrays too large; reduce max_neval_hcube or nhcube_batch (or increase max_mem)";
static const char __pyx_k_BatchIntegrand_from_NonBatchDic_2[] = "_BatchIntegrand_from_NonBatchDict.__reduce_cython__";
static const char __pyx_k_BatchIntegrand_from_NonBatchDic_3[] = "_BatchIntegrand_from_NonBatchDict.__setstate_cython__";
static const char __pyx_k_h_cubes_6g_evaluations_h_cube_d_2[] = "                h-cubes = %.6g evaluations/h-cube = %d\n";
static PyObject *__pyx_kp_u_15s;
static PyObject *__pyx_n_s_1_s2;
static PyObject *__pyx_kp_u_2d;
static PyObject *__pyx_kp_u_2f;
static PyObject *__pyx_kp_u_3d;
static PyObject *__pyx_kp_u_6g;
static PyObject *__pyx_kp_u_6g_approx_integrand_evaluations;
static PyObject *__pyx_kp_u_6g_integrand_evaluations_in_eac;
static PyObject *__pyx_kp_u_8_2f;
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_n_s_AdaptiveMap;
static PyObject *__pyx_n_s_AdaptiveMap___reduce;
static PyObject *__pyx_n_s_AdaptiveMap__add_training_data;
static PyObject *__pyx_n_s_AdaptiveMap__collect_training_da;
static PyObject *__pyx_n_s_AdaptiveMap_adapt;
static PyObject *__pyx_n_s_AdaptiveMap_adapt_to_samples;
static PyObject *__pyx_n_s_AdaptiveMap_add_training_data;
static PyObject *__pyx_n_s_AdaptiveMap_clear;
static PyObject *__pyx_n_s_AdaptiveMap_extract_grid;
static PyObject *__pyx_n_s_AdaptiveMap_invmap;
static PyObject *__pyx_n_s_AdaptiveMap_jac;
static PyObject *__pyx_n_s_AdaptiveMap_jac1d;
static PyObject *__pyx_n_s_AdaptiveMap_make_uniform;
static PyObject *__pyx_n_s_AdaptiveMap_map;
static PyObject *__pyx_n_s_AdaptiveMap_random;
static PyObject *__pyx_n_s_AdaptiveMap_region;
static PyObject *__pyx_n_s_AdaptiveMap_settings;
static PyObject *__pyx_n_s_AdaptiveMap_show_grid;
static PyObject *__pyx_n_s_Allgather;
static PyObject *__pyx_kp_s_Analyzer_class_that_prints_out;
static PyObject *__pyx_n_s_AttributeError;
static PyObject *__pyx_kp_u_Average_number_of_integrand_eval;
static PyObject *__pyx_n_s_BatchIntegrand;
static PyObject *__pyx_n_s_BatchIntegrand___reduce_cython;
static PyObject *__pyx_n_s_BatchIntegrand___setstate_cython;
static PyObject *__pyx_n_s_BatchIntegrand_from_Batch;
static PyObject *__pyx_n_s_BatchIntegrand_from_BatchDict;
static PyObject *__pyx_n_s_BatchIntegrand_from_BatchDict_2;
static PyObject *__pyx_n_s_BatchIntegrand_from_BatchDict_3;
static PyObject *__pyx_n_s_BatchIntegrand_from_Batch___red;
static PyObject *__pyx_n_s_BatchIntegrand_from_Batch___set;
static PyObject *__pyx_n_s_BatchIntegrand_from_NonBatch;
static PyObject *__pyx_n_s_BatchIntegrand_from_NonBatchDic;
static PyObject *__pyx_n_s_BatchIntegrand_from_NonBatchDic_2;
static PyObject *__pyx_n_s_BatchIntegrand_from_NonBatchDic_3;
static PyObject *__pyx_n_s_BatchIntegrand_from_NonBatch_2;
static PyObject *__pyx_n_s_BatchIntegrand_from_NonBatch_3;
static PyObject *__pyx_n_s_BufferDict;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_n_s_COMM_WORLD;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_kp_u_Dictionary_g_doesn_t_contain_key;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_n_u_False;
static PyObject *__pyx_n_s_GVar;
static PyObject *__pyx_n_s_GVarRef;
static PyObject *__pyx_n_s_Get_rank;
static PyObject *__pyx_n_s_Get_size;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x34;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x4d;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x68;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x98;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xaf;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb8;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xd3;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_n_s_Integrator;
static PyObject *__pyx_kp_u_Integrator_Settings;
static PyObject *__pyx_n_s_Integrator___del;
static PyObject *__pyx_n_s_Integrator___reduce;
static PyObject *__pyx_n_s_Integrator___setstate;
static PyObject *__pyx_n_s_Integrator__fill_sigf;
static PyObject *__pyx_n_s_Integrator__get_mpi_rank;
static PyObject *__pyx_n_s_Integrator_random;
static PyObject *__pyx_n_s_Integrator_random_batch;
static PyObject *__pyx_n_s_Integrator_set;
static PyObject *__pyx_n_s_Integrator_settings;
static PyObject *__pyx_n_s_Integrator_synchronize_random;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_n_s_LBatchIntegrand;
static PyObject *__pyx_n_s_MPI;
static PyObject *__pyx_kp_u_MPI_rank_0;
static PyObject *__pyx_n_s_MPIintegrand;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_kp_u_Number_of_degrees_of_freedom_in;
static PyObject *__pyx_kp_u_Number_of_iterations;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_n_s_OrderedDict;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_Pool;
static PyObject *__pyx_kp_u_Q;
static PyObject *__pyx_n_s_Q_2;
static PyObject *__pyx_n_u_Q_2;
static PyObject *__pyx_n_s_Q_3;
static PyObject *__pyx_kp_u_Q_or_p_value_of_weighted_averag;
static PyObject *__pyx_n_s_RAvg;
static PyObject *__pyx_n_s_RAvgArray;
static PyObject *__pyx_n_s_RAvgArray__Q;
static PyObject *__pyx_n_s_RAvgArray___array_finalize;
static PyObject *__pyx_n_s_RAvgArray___init;
static PyObject *__pyx_n_s_RAvgArray___new;
static PyObject *__pyx_n_s_RAvgArray___reduce_ex;
static PyObject *__pyx_n_s_RAvgArray___setstate;
static PyObject *__pyx_n_s_RAvgArray__avg_neval;
static PyObject *__pyx_n_s_RAvgArray__chi2;
static PyObject *__pyx_n_s_RAvgArray__distribute_gvars;
static PyObject *__pyx_n_s_RAvgArray__dof;
static PyObject *__pyx_n_s_RAvgArray__inv;
static PyObject *__pyx_n_s_RAvgArray__nitn;
static PyObject *__pyx_n_s_RAvgArray__remove_gvars;
static PyObject *__pyx_n_s_RAvgArray_add;
static PyObject *__pyx_n_s_RAvgArray_converged;
static PyObject *__pyx_n_s_RAvgArray_extend;
static PyObject *__pyx_n_s_RAvgArray_summary;
static PyObject *__pyx_n_s_RAvgDict;
static PyObject *__pyx_n_s_RAvgDict__Q;
static PyObject *__pyx_n_s_RAvgDict___init;
static PyObject *__pyx_n_s_RAvgDict___reduce_ex;
static PyObject *__pyx_n_s_RAvgDict__avg_neval;
static PyObject *__pyx_n_s_RAvgDict__chi2;
static PyObject *__pyx_n_s_RAvgDict__distribute_gvars;
static PyObject *__pyx_n_s_RAvgDict__dof;
static PyObject *__pyx_n_s_RAvgDict__nitn;
static PyObject *__pyx_n_s_RAvgDict__remove_gvars;
static PyObject *__pyx_n_s_RAvgDict_add;
static PyObject *__pyx_n_s_RAvgDict_converged;
static PyObject *__pyx_n_s_RAvgDict_extend;
static PyObject *__pyx_n_s_RAvgDict_summary;
static PyObject *__pyx_n_s_RAvg__Q;
static PyObject *__pyx_n_s_RAvg___init;
static PyObject *__pyx_n_s_RAvg___reduce_ex;
static PyObject *__pyx_n_s_RAvg__avg_neval;
static PyObject *__pyx_n_s_RAvg__chi2;
static PyObject *__pyx_n_s_RAvg__distribute_gvars;
static PyObject *__pyx_n_s_RAvg__dof;
static PyObject *__pyx_n_s_RAvg__nitn;
static PyObject *__pyx_n_s_RAvg__remove_gvars;
static PyObject *__pyx_n_s_RAvg_add;
static PyObject *__pyx_n_s_RAvg_converged;
static PyObject *__pyx_n_s_RAvg_extend;
static PyObject *__pyx_n_s_RAvg_summary;
static PyObject *__pyx_n_s_RBatchIntegrand;
static PyObject *__pyx_n_s_RBatchIntegrand___reduce_cython;
static PyObject *__pyx_n_s_RBatchIntegrand___setstate_cytho;
static PyObject *__pyx_kp_s_Running_average_of_array_valued;
static PyObject *__pyx_kp_s_Running_average_of_dictionary_v;
static PyObject *__pyx_kp_s_Running_average_of_scalar_value;
static PyObject *__pyx_n_s_SVD;
static PyObject *__pyx_n_s_T;
static PyObject *__pyx_n_u_True;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_VecIntegrand;
static PyObject *__pyx_n_s_VegasIntegrand;
static PyObject *__pyx_n_s_VegasIntegrand___reduce_cython;
static PyObject *__pyx_n_s_VegasIntegrand___setstate_cython;
static PyObject *__pyx_n_s_VegasIntegrand_format_result;
static PyObject *__pyx_n_s_VegasIntegrand_training;
static PyObject *__pyx_n_s_VegasResult;
static PyObject *__pyx_n_s_VegasResult___reduce_cython;
static PyObject *__pyx_n_s_VegasResult___setstate_cython;
static PyObject *__pyx_n_s_VegasResult_converged;
static PyObject *__pyx_n_s_VegasResult_save;
static PyObject *__pyx_n_s_VegasResult_saveall;
static PyObject *__pyx_n_s_VegasResult_update;
static PyObject *__pyx_n_s_VegasResult_update_analyzer;
static PyObject *__pyx_n_s_View_MemoryView;
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static PyObject *__pyx_kp_u__17;
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static PyObject *__pyx_kp_u__77;
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static PyObject *__pyx_kp_u_absolute_accuracy_g;
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static PyObject *__pyx_kp_u_accuracy_relative_g;
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static PyObject *__pyx_n_s_adapt_to_samples;
static PyObject *__pyx_n_s_adaptive_strat;
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static PyObject *__pyx_n_s_add_training_data_2;
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static PyObject *__pyx_n_s_ans;
static PyObject *__pyx_n_s_answer;
static PyObject *__pyx_n_s_any;
static PyObject *__pyx_n_s_append;
static PyObject *__pyx_n_s_args;
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static PyObject *__pyx_n_s_avg_neval;
static PyObject *__pyx_n_s_avg_neval_2;
static PyObject *__pyx_n_s_avg_neval_hcube;
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static PyObject *__pyx_kp_u_bad_nstrat_s;
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static PyObject *__pyx_n_s_buf_2;
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static PyObject *__pyx_kp_u_chi2_dof_2;
static PyObject *__pyx_n_s_chi2_dof_3;
static PyObject *__pyx_n_s_chi2dof;
static PyObject *__pyx_kp_u_chi_2_of_weighted_average;
static PyObject *__pyx_n_s_class;
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static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_clock;
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static PyObject *__pyx_n_s_collect_training_data;
static PyObject *__pyx_n_s_collections;
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static PyObject *__pyx_n_s_concatenate;
static PyObject *__pyx_kp_s_contiguous_and_direct;
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static PyObject *__pyx_n_s_cov_2;
static PyObject *__pyx_kp_u_covers;
static PyObject *__pyx_n_s_cpu_count;
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static PyObject *__pyx_kp_u_damping_parameters_alpha_g_beta;
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static PyObject *__pyx_n_s_dictionary;
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static PyObject *__pyx_n_s_doc;
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static PyObject *__pyx_n_s_dof_2;
static PyObject *__pyx_n_s_dot;
static PyObject *__pyx_n_s_draw;
static PyObject *__pyx_kp_u_ds_ds_ds_ds_ds;
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static PyObject *__pyx_n_s_equal;
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static PyObject *__pyx_n_s_gammaQ;
static PyObject *__pyx_n_s_gcov;
static PyObject *__pyx_n_s_get_mpi_rank;
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static PyObject *__pyx_n_s_gvlist;
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static PyObject *__pyx_kp_u_h_cubes_6g_evaluations_h_cube_d_2;
static PyObject *__pyx_kp_u_h_cubes_batch;
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static PyObject *__pyx_n_s_init___locals__mpi_eval;
static PyObject *__pyx_n_s_inspect;
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static PyObject *__pyx_n_s_integrand;
static PyObject *__pyx_kp_u_integrand_evaluates_to_nan;
static PyObject *__pyx_kp_u_integrand_given_is_a_class_not_a;
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static PyObject *__pyx_n_s_internaldata;
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static PyObject *__pyx_n_s_invcov;
static PyObject *__pyx_n_u_invcov;
static PyObject *__pyx_n_s_invcov_2;
static PyObject *__pyx_n_s_invcov_v;
static PyObject *__pyx_n_u_invcov_v;
static PyObject *__pyx_n_s_invmap;
static PyObject *__pyx_n_s_isnan;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
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static PyObject *__pyx_n_s_itn_results;
static PyObject *__pyx_n_u_itn_results;
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static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_jac;
static PyObject *__pyx_n_s_jac1d;
static PyObject *__pyx_n_s_join;
static PyObject *__pyx_kp_u_k;
static PyObject *__pyx_n_s_k_2;
static PyObject *__pyx_n_s_ka;
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static PyObject *__pyx_n_s_key;
static PyObject *__pyx_n_u_key_press_event;
static PyObject *__pyx_n_u_keys;
static PyObject *__pyx_n_s_last_neval;
static PyObject *__pyx_n_u_lbatch;
static PyObject *__pyx_n_s_lbatchintegrand;
static PyObject *__pyx_kp_u_limits_h_cubes_2g_evaluations_h;
static PyObject *__pyx_n_s_linedata;
static PyObject *__pyx_n_s_linspace;
static PyObject *__pyx_n_s_loads;
static PyObject *__pyx_n_s_log;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_major;
static PyObject *__pyx_n_s_make_uniform;
static PyObject *__pyx_n_s_map;
static PyObject *__pyx_n_u_map;
static PyObject *__pyx_n_s_math;
static PyObject *__pyx_kp_u_matplotlib_not_installed_cannot;
static PyObject *__pyx_n_s_matplotlib_pyplot;
static PyObject *__pyx_n_s_matrix;
static PyObject *__pyx_n_s_max;
static PyObject *__pyx_n_s_max_10_exp;
static PyObject *__pyx_n_s_max_mem;
static PyObject *__pyx_n_s_max_neval_hcube;
static PyObject *__pyx_n_s_max_nhcube;
static PyObject *__pyx_n_u_max_nhcube;
static PyObject *__pyx_n_s_maxinc_axis;
static PyObject *__pyx_n_u_maxinc_axis;
static PyObject *__pyx_n_s_maxsize;
static PyObject *__pyx_n_s_mean;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_min;
static PyObject *__pyx_n_s_min_10_exp;
static PyObject *__pyx_n_s_minimize_mem;
static PyObject *__pyx_kp_u_minimize_mem_s;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_mpi;
static PyObject *__pyx_n_s_mpi4py;
static PyObject *__pyx_n_s_mpi4py_MPI;
static PyObject *__pyx_n_s_mpi_eval;
static PyObject *__pyx_n_s_mpi_rank;
static PyObject *__pyx_n_s_mpl_connect;
static PyObject *__pyx_n_s_multiprocessing;
static PyObject *__pyx_kp_u_must_specificy_dictionary_or_itn;
static PyObject *__pyx_kp_u_must_specificy_shape_or_itn_resu;
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static PyObject *__pyx_n_u_n;
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static PyObject *__pyx_n_u_n_2;
static PyObject *__pyx_n_s_n_f;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_u_nan;
static PyObject *__pyx_n_s_nchar;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_kp_u_need_to_specify_nproc_nproc_None;
static PyObject *__pyx_n_s_neval;
static PyObject *__pyx_n_u_neval;
static PyObject *__pyx_kp_u_neval_2;
static PyObject *__pyx_kp_u_neval_2_required_not;
static PyObject *__pyx_n_s_neval_batch;
static PyObject *__pyx_n_s_neval_frac;
static PyObject *__pyx_n_u_neval_frac;
static PyObject *__pyx_kp_u_neval_frac_but_require_0_neval_f;
static PyObject *__pyx_kp_u_neval_h_cube;
static PyObject *__pyx_n_s_neval_hcube;
static PyObject *__pyx_n_s_neval_hcube_range;
static PyObject *__pyx_n_s_neval_sigf;
static PyObject *__pyx_kp_u_neval_too_small;
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static PyObject *__pyx_n_s_new_grid;
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static PyObject *__pyx_n_s_new_ninc;
static PyObject *__pyx_n_s_newg;
static PyObject *__pyx_n_s_ng;
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static PyObject *__pyx_n_s_nhcube;
static PyObject *__pyx_n_s_nhcube_batch;
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static PyObject *__pyx_kp_u_ninc_has_wrong_shape;
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static PyObject *__pyx_n_s_nitn_2;
static PyObject *__pyx_kp_u_no_attribute_named_s;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_kp_u_no_of_increments_1_in_AdaptiveMa;
static PyObject *__pyx_kp_u_not;
static PyObject *__pyx_kp_u_not_enough_samples;
static PyObject *__pyx_n_s_nproc;
static PyObject *__pyx_n_u_nproc;
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static PyObject *__pyx_n_s_nsigf;
static PyObject *__pyx_n_s_nskip;
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static PyObject *__pyx_kp_u_nstrat_d_has_wrong_length;
static PyObject *__pyx_kp_u_number_of_strata_axis_s;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_u_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_u_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_nx;
static PyObject *__pyx_kp_u_nx_x_shape_0;
static PyObject *__pyx_n_s_ny;
static PyObject *__pyx_kp_u_ny_y_shape_0;
static PyObject *__pyx_n_s_obj;
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static PyObject *__pyx_n_s_odict;
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static PyObject *__pyx_n_s_old_ninc;
static PyObject *__pyx_n_s_old_val;
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static PyObject *__pyx_n_s_onpress;
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static PyObject *__pyx_n_s_order;
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static PyObject *__pyx_n_u_perf_counter;
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static PyObject *__pyx_n_s_plotdata;
static PyObject *__pyx_n_s_plotter;
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static PyObject *__pyx_n_s_prefix;
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static PyObject *__pyx_kp_u_processors;
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static PyObject *__pyx_n_s_product;
static PyObject *__pyx_n_s_property;
static PyObject *__pyx_n_s_protocol;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_BatchIntegrand;
static PyObject *__pyx_n_s_pyx_unpickle_Enum;
static PyObject *__pyx_n_s_pyx_unpickle_RBatchIntegrand;
static PyObject *__pyx_n_s_pyx_unpickle_VegasIntegrand;
static PyObject *__pyx_n_s_pyx_unpickle_VegasResult;
static PyObject *__pyx_n_s_pyx_unpickle__BatchIntegrand_f;
static PyObject *__pyx_n_s_pyx_unpickle__BatchIntegrand_f_2;
static PyObject *__pyx_n_s_pyx_unpickle__BatchIntegrand_f_3;
static PyObject *__pyx_n_s_pyx_unpickle__BatchIntegrand_f_4;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_u_q;
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static PyObject *__pyx_n_s_random_vec;
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static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
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static PyObject *__pyx_n_u_scalar;
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static PyObject *__pyx_n_s_searchsorted;
static PyObject *__pyx_n_s_seed;
static PyObject *__pyx_n_s_self;
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static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_settings;
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static PyObject *__pyx_kp_u_shape_of_x_and_f_x_mismatch_vs;
static PyObject *__pyx_n_s_show;
static PyObject *__pyx_n_s_show_grid;
static PyObject *__pyx_n_s_show_grid_locals_onpress;
static PyObject *__pyx_n_s_show_grid_locals_plotdata;
static PyObject *__pyx_n_s_shrink;
static PyObject *__pyx_n_s_side;
static PyObject *__pyx_n_s_sigf;
static PyObject *__pyx_n_u_sigf;
static PyObject *__pyx_n_s_sigf2;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_slice_shape;
static PyObject *__pyx_n_s_starmap;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_state;
static PyObject *__pyx_n_s_staticmethod;
static PyObject *__pyx_n_s_stdout;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_n_s_strides;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_subtype;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_sum_f;
static PyObject *__pyx_n_s_sum_fdv;
static PyObject *__pyx_n_s_sum_fdv2;
static PyObject *__pyx_n_s_sum_neval;
static PyObject *__pyx_n_u_sum_neval;
static PyObject *__pyx_n_s_summary;
static PyObject *__pyx_n_s_super;
static PyObject *__pyx_n_s_superpickled;
static PyObject *__pyx_n_s_svdcut;
static PyObject *__pyx_n_s_sync_ran;
static PyObject *__pyx_n_s_synchronize_random;
static PyObject *__pyx_n_s_sys;
static PyObject *__pyx_n_s_t0;
static PyObject *__pyx_n_s_tabulate;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_tgvar;
static PyObject *__pyx_n_s_throw;
static PyObject *__pyx_n_s_time;
static PyObject *__pyx_kp_u_time_2;
static PyObject *__pyx_n_s_title;
static PyObject *__pyx_n_s_tmp;
static PyObject *__pyx_n_s_tmp_f;
static PyObject *__pyx_n_s_tmp_hcube;
static PyObject *__pyx_n_s_tmp_ninc;
static PyObject *__pyx_n_s_trace;
static PyObject *__pyx_n_s_training;
static PyObject *__pyx_n_s_u;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_n_s_uniform;
static PyObject *__pyx_n_s_uniform_nstrat;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_update_analyzer;
static PyObject *__pyx_n_s_use_setstate;
static PyObject *__pyx_n_s_uses_jac;
static PyObject *__pyx_n_s_v;
static PyObject *__pyx_n_u_v;
static PyObject *__pyx_n_s_v2;
static PyObject *__pyx_n_u_v2;
static PyObject *__pyx_n_s_v2_s2;
static PyObject *__pyx_n_s_v_2;
static PyObject *__pyx_n_s_v_invcov_v;
static PyObject *__pyx_n_u_v_invcov_v;
static PyObject *__pyx_n_s_v_s2;
static PyObject *__pyx_n_s_var;
static PyObject *__pyx_n_s_vecintegrand;
static PyObject *__pyx_n_s_vegas__vegas;
static PyObject *__pyx_kp_s_vegas_pyx;
static PyObject *__pyx_n_s_version_info;
static PyObject *__pyx_n_s_w;
static PyObject *__pyx_n_s_warn;
static PyObject *__pyx_n_s_warnings;
static PyObject *__pyx_n_u_wb;
static PyObject *__pyx_n_s_weighted;
static PyObject *__pyx_n_u_weighted;
static PyObject *__pyx_n_s_wgt;
static PyObject *__pyx_kp_u_wgt_average;
static PyObject *__pyx_n_s_wgtavg;
static PyObject *__pyx_kp_u_work_arrays_too_large_reduce_max;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_kp_u_x_d;
static PyObject *__pyx_n_s_xgrid;
static PyObject *__pyx_n_s_xlabel;
static PyObject *__pyx_n_s_xlim;
static PyObject *__pyx_n_s_xrange;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_y0;
static PyObject *__pyx_n_s_y_ninc;
static PyObject *__pyx_n_s_y_shape;
static PyObject *__pyx_n_s_ygrid;
static PyObject *__pyx_n_s_yield_hcube;
static PyObject *__pyx_n_s_yield_y;
static PyObject *__pyx_n_s_ylabel;
static PyObject *__pyx_n_s_ylim;
static PyObject *__pyx_n_s_yran;
static PyObject *__pyx_n_s_yrange;
static PyObject *__pyx_n_s_zeros;
static int __pyx_pf_5vegas_6_vegas_11AdaptiveMap___init__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_grid, PyObject *__pyx_v_ninc); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_3dim___get__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_2region(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, npy_intp __pyx_v_d); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_4extract_grid(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_6__reduce__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_8settings(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_ngrid); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_10random(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_n); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_12make_uniform(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_ninc); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_14__call__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_16jac1d(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_18jac(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_20map(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, __Pyx_memviewslice __pyx_v_y, __Pyx_memviewslice __pyx_v_x, __Pyx_memviewslice __pyx_v_jac, npy_intp __pyx_v_ny); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_22invmap(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, __Pyx_memviewslice __pyx_v_x, __Pyx_memviewslice __pyx_v_y, __Pyx_memviewslice __pyx_v_jac, npy_intp __pyx_v_nx); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_24add_training_data(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, __Pyx_memviewslice __pyx_v_y, __Pyx_memviewslice __pyx_v_f, npy_intp __pyx_v_ny); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_26adapt(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, double __pyx_v_alpha, PyObject *__pyx_v_ninc); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_28clear(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_20__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_9show_grid_plotdata(PyObject *__pyx_self, PyObject *__pyx_v_idx, PyObject *__pyx_v_grid); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_22__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_9show_grid_2onpress(PyObject *__pyx_self, PyObject *__pyx_v_event, PyObject *__pyx_v_idx); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_30show_grid(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_ngrid, PyObject *__pyx_v_axes, PyObject *__pyx_v_shrink, PyObject *__pyx_v_plotter); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_32adapt_to_samples(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_f, PyObject *__pyx_v_nitn, PyObject *__pyx_v_alpha, PyObject *__pyx_v_nproc); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_34_add_training_data(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_x, CYTHON_UNUSED PyObject *__pyx_v_f, PyObject *__pyx_v_fx, PyObject *__pyx_v_nproc, PyObject *__pyx_v_pool); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_36_collect_training_data(PyObject *__pyx_v_map, PyObject *__pyx_v_x, PyObject *__pyx_v_fx); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_4grid___get__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_3inc___get__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_4ninc___get__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_5sum_f___get__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_11AdaptiveMap_5sum_f_2__set__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11AdaptiveMap_3n_f___get__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_11AdaptiveMap_3n_f_2__set__(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator___init__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_map, PyObject *__pyx_v_kargs); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_2__del__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4__reduce__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_6__setstate__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_odict); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_8set(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_ka, PyObject *__pyx_v_kargs); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_10settings(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_ngrid); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_12_fill_sigf(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_fcn, npy_intp __pyx_v_hcube_base, npy_intp __pyx_v_nhcube_batch); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_14_get_mpi_rank(CYTHON_UNUSED struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_16random_batch(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, int __pyx_v_yield_hcube, int __pyx_v_yield_y, PyObject *__pyx_v_fcn); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_19random(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, int __pyx_v_yield_hcube, int __pyx_v_yield_y); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_22synchronize_random(void); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_24__call__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_fcn, PyObject *__pyx_v_save, PyObject *__pyx_v_saveall, PyObject *__pyx_v_kargs); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_5neval___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_5neval_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_17neval_hcube_range___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_17neval_hcube_range_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_12nhcube_batch___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_12nhcube_batch_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_11maxinc_axis___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_11maxinc_axis_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_10max_nhcube___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_10max_nhcube_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_15max_neval_hcube___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_15max_neval_hcube_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_10neval_frac___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_10neval_frac_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_7max_mem___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_7max_mem_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4nitn___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_4nitn_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_5nproc___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_5nproc_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_5alpha___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_5alpha_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4rtol___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_4rtol_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4atol___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_4atol_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_12minimize_mem___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_12minimize_mem_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_15adapt_to_errors___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_15adapt_to_errors_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4beta___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_4beta_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_5adapt___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_5adapt_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_8analyzer___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_8analyzer_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_8analyzer_4__del__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_19ran_array_generator___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_19ran_array_generator_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_19ran_array_generator_4__del__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_8sync_ran___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_8sync_ran_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_3mpi___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_3mpi_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_14uniform_nstrat___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_14uniform_nstrat_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_8uses_jac___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_8uses_jac_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4save___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_4save_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_4save_4__del__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_7saveall___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_7saveall_2__set__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_10Integrator_7saveall_4__del__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_6nstrat___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_3map___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4pool___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_8sum_sigf___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_3dim___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_10last_neval___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_15min_neval_hcube___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_6nhcube___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10Integrator_4sigf___get__(struct __pyx_obj_5vegas_6_vegas_Integrator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8reporter___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ngrid); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8reporter_2begin(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_itn, PyObject *__pyx_v_integrator); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8reporter_4end(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_itn_ans, PyObject *__pyx_v_ans); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_weighted, PyObject *__pyx_v_itn_results, PyObject *__pyx_v_sum_neval); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_2extend(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ravg); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_4__reduce_ex__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_protocol); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_6_remove_gvars(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_gvlist); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_8_distribute_gvars(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_gvlist); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_10_chi2(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_12_dof(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_14_nitn(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_16_Q(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_18_avg_neval(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_20converged(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_rtol, PyObject *__pyx_v_atol); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_22add(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_g); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4RAvg_24summary(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_extended, PyObject *__pyx_v_weighted); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_dictionary, PyObject *__pyx_v_weighted, PyObject *__pyx_v_itn_results, PyObject *__pyx_v_sum_neval); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_2extend(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ravg); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_4__reduce_ex__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_protocol); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_6_remove_gvars(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_gvlist); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_8_distribute_gvars(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_gvlist); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_10converged(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_rtol, PyObject *__pyx_v_atol); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_12add(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_g); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_14summary(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_extended, PyObject *__pyx_v_weighted); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_16_chi2(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_18_dof(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_20_nitn(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_22_Q(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8RAvgDict_24_avg_neval(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray___new__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_subtype, PyObject *__pyx_v_shape, CYTHON_UNUSED PyObject *__pyx_v_dtype, PyObject *__pyx_v_buffer, PyObject *__pyx_v_offset, PyObject *__pyx_v_strides, PyObject *__pyx_v_order, PyObject *__pyx_v_weighted, PyObject *__pyx_v_itn_results, PyObject *__pyx_v_sum_neval); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_2_remove_gvars(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_gvlist); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_4_distribute_gvars(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_gvlist); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_6__reduce_ex__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_protocol); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_8__setstate__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_10__array_finalize__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_12__init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_shape, CYTHON_UNUSED PyObject *__pyx_v_dtype, CYTHON_UNUSED PyObject *__pyx_v_buffer, CYTHON_UNUSED PyObject *__pyx_v_offset, CYTHON_UNUSED PyObject *__pyx_v_strides, CYTHON_UNUSED PyObject *__pyx_v_order, CYTHON_UNUSED PyObject *__pyx_v_weighted, PyObject *__pyx_v_itn_results, CYTHON_UNUSED PyObject *__pyx_v_sum_neval); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_14extend(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_ravg); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_16_inv(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, PyObject *__pyx_v_matrix); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_18converged(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_rtol, PyObject *__pyx_v_atol); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_20_chi2(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_22_dof(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_24_nitn(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_26_Q(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_28_avg_neval(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_30add(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_g); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_9RAvgArray_32summary(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_extended, PyObject *__pyx_v_weighted); /* proto */
static int __pyx_pf_5vegas_6_vegas_11VegasResult___init__(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self, PyObject *__pyx_v_integrand, PyObject *__pyx_v_weighted); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_2save(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self, PyObject *__pyx_v_outfile); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_4saveall(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self, PyObject *__pyx_v_integrator, PyObject *__pyx_v_outfile); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_6update(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self, PyObject *__pyx_v_mean, PyObject *__pyx_v_var, PyObject *__pyx_v_last_neval); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_8update_analyzer(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self, PyObject *__pyx_v_analyzer); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_10converged(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self, PyObject *__pyx_v_rtol, PyObject *__pyx_v_atol); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_9integrand___get__(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_5shape___get__(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_6result___get__(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_9sum_neval___get__(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_12__reduce_cython__(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_11VegasResult_14__setstate_cython__(struct __pyx_obj_5vegas_6_vegas_VegasResult *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_24__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_8__init____mpi_eval(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x, PyObject *__pyx_v_jac, PyObject *__pyx_v_self, PyObject *__pyx_v__eval); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand___init__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_fcn, PyObject *__pyx_v_map, PyObject *__pyx_v_uses_jac, PyObject *__pyx_v_mpi); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_2format_result(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_mean, PyObject *__pyx_v_var); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_4training(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_x, PyObject *__pyx_v_jac); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_5shape___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_5shape_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_5shape_4__del__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_7fcntype___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_7fcntype_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_7fcntype_4__del__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_4size___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_4size_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_4eval___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_4eval_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_4eval_4__del__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_5bdict___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_5bdict_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_5bdict_4__del__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_5nproc___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_5nproc_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_4rank___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_4rank_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_4comm___get__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_4comm_2__set__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_14VegasIntegrand_4comm_4__del__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_6__reduce_cython__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14VegasIntegrand_8__setstate_cython__(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch___init__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *__pyx_v_self, PyObject *__pyx_v_fcn, PyObject *__pyx_v_size, PyObject *__pyx_v_shape); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_2__call__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *__pyx_v_self, PyArrayObject *__pyx_v_x, PyObject *__pyx_v_jac); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_4size___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_5shape___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_3fcn___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_4__reduce_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_6__setstate_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict___init__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *__pyx_v_self, PyObject *__pyx_v_fcn, PyObject *__pyx_v_size); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_2__call__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *__pyx_v_self, PyArrayObject *__pyx_v_x, PyObject *__pyx_v_jac); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_4size___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_3fcn___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_4__reduce_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_6__setstate_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5vegas_6_vegas_26_BatchIntegrand_from_Batch___init__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *__pyx_v_self, PyObject *__pyx_v_fcn, PyObject *__pyx_v_rbatch); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_26_BatchIntegrand_from_Batch_2__call__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *__pyx_v_self, PyArrayObject *__pyx_v_x, PyObject *__pyx_v_jac); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_26_BatchIntegrand_from_Batch_3fcn___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_26_BatchIntegrand_from_Batch_5shape___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_26_BatchIntegrand_from_Batch_6rbatch___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_26_BatchIntegrand_from_Batch_4__reduce_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_26_BatchIntegrand_from_Batch_6__setstate_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict___init__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self, PyObject *__pyx_v_fcn, PyObject *__pyx_v_bdict, PyObject *__pyx_v_rbatch); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_2__call__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self, PyArrayObject *__pyx_v_x, PyObject *__pyx_v_jac); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_4size___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_5slice___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_5shape___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_6rbatch___get__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_4__reduce_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_6__setstate_cython__(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5vegas_6_vegas_14BatchIntegrand___init__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self, PyObject *__pyx_v_fcn); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14BatchIntegrand_7fcntype___get__(CYTHON_UNUSED struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14BatchIntegrand_2__call__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kargs); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14BatchIntegrand_4__getattr__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14BatchIntegrand_3fcn___get__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_14BatchIntegrand_3fcn_2__set__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_14BatchIntegrand_3fcn_4__del__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14BatchIntegrand_6__reduce_cython__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14BatchIntegrand_8__setstate_cython__(struct __pyx_obj_5vegas_6_vegas_BatchIntegrand *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_batchintegrand(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_f); /* proto */
static int __pyx_pf_5vegas_6_vegas_15RBatchIntegrand___init__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self, PyObject *__pyx_v_fcn); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_15RBatchIntegrand_7fcntype___get__(CYTHON_UNUSED struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_15RBatchIntegrand_2__call__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self, PyObject *__pyx_v_args, PyObject *__pyx_v_kargs); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_15RBatchIntegrand_4__getattr__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_15RBatchIntegrand_3fcn___get__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self); /* proto */
static int __pyx_pf_5vegas_6_vegas_15RBatchIntegrand_3fcn_2__set__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_5vegas_6_vegas_15RBatchIntegrand_3fcn_4__del__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_15RBatchIntegrand_6__reduce_cython__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_15RBatchIntegrand_8__setstate_cython__(struct __pyx_obj_5vegas_6_vegas_RBatchIntegrand *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_2rbatchintegrand(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_f); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_4__pyx_unpickle_VegasResult(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_6__pyx_unpickle_VegasIntegrand(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_8__pyx_unpickle__BatchIntegrand_from_NonBatch(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_10__pyx_unpickle__BatchIntegrand_from_NonBatchDict(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_12__pyx_unpickle__BatchIntegrand_from_Batch(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_14__pyx_unpickle__BatchIntegrand_from_BatchDict(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_16__pyx_unpickle_BatchIntegrand(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5vegas_6_vegas_18__pyx_unpickle_RBatchIntegrand(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum___reduce_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_MemviewEnum_2__setstate_cython__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview___cinit__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj, int __pyx_v_flags, int __pyx_v_dtype_is_object); /* proto */
static void __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_2__dealloc__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_4__getitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_6__setitem__(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto */
static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_1T___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_8itemsize___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_6nbytes___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4size___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_10__len__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_14__str__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_16is_c_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_20copy(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_22copy_fortran(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryview_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryview_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static void __pyx_memoryviewslice___pyx_pf_15View_dot_MemoryView_16_memoryviewslice___dealloc__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_16_memoryviewslice_4base___get__(struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice___reduce_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_memoryviewslice_2__setstate_cython__(CYTHON_UNUSED struct __pyx_memoryviewslice_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView___pyx_unpickle_Enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_5vegas_6_vegas_BatchIntegrand(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas_RBatchIntegrand(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas_AdaptiveMap(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas_Integrator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas_VegasResult(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas_VegasIntegrand(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_NonBatch(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_Batch(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_BatchDict(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas___pyx_scope_struct__show_grid(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas___pyx_scope_struct_1_random_batch(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5vegas_6_vegas___pyx_scope_struct_2_random(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_update = {0, &__pyx_n_s_update, 0, 0, 0};
static PyObject *__pyx_float_0_;
static PyObject *__pyx_float_1_;
static PyObject *__pyx_float_2_;
static PyObject *__pyx_float_0_0;
static PyObject *__pyx_float_0_5;
static PyObject *__pyx_float_1_0;
static PyObject *__pyx_float_10_;
static PyObject *__pyx_float_1e6;
static PyObject *__pyx_float_1e9;
static PyObject *__pyx_float_0_75;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_5;
static PyObject *__pyx_int_10;
static PyObject *__pyx_int_40;
static PyObject *__pyx_int_50;
static PyObject *__pyx_int_1000;
static PyObject *__pyx_int_10000;
static PyObject *__pyx_int_55251819;
static PyObject *__pyx_int_81359698;
static PyObject *__pyx_int_110054296;
static PyObject *__pyx_int_160077625;
static PyObject *__pyx_int_184464970;
static PyObject *__pyx_int_184977713;
static PyObject *__pyx_int_193888261;
static PyObject *__pyx_int_221932932;
static PyObject *__pyx_int_neg_1;
static PyObject *__pyx_int_neg_3;
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static PyObject *__pyx_slice__29;
static PyObject *__pyx_slice__67;
static PyObject *__pyx_slice__90;
static PyObject *__pyx_tuple__21;
static PyObject *__pyx_tuple__22;
static PyObject *__pyx_tuple__24;
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            /* "vegas/_vegas.pyx":556
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 *                         tmp_f[i] = abs(6. * avg_f[i] + avg_f[i-1] + avg_f[i+1]) / 8.
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            /* "vegas/_vegas.pyx":559
 *                     else:
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/* "View.MemoryView":807
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 * 
 *         if have_step and step == 0:
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(2, 838, __pyx_L1_error)

      /* "View.MemoryView":837
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    }

    /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":843
 *         if have_start:
 *             if start < 0:
 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
 */
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

        /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":845
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
 */
          __pyx_v_start = 0;

          /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        }

        /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L12;
      }

      /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
      if (__pyx_t_2) {

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

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

          /* "View.MemoryView":847
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
          goto __pyx_L14;
        }

        /* "View.MemoryView":850
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L14:;

        /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      }
      __pyx_L12:;

      /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
      goto __pyx_L11;
    }

    /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":853
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
 */
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
        goto __pyx_L15;
      }

      /* "View.MemoryView":855
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
 */
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L15:;
    }
    __pyx_L11:;

    /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":859
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
 */
        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":861
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
 */
          __pyx_v_stop = 0;

          /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
        goto __pyx_L17;
      }

      /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":863
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      }
      __pyx_L17:;

      /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
      goto __pyx_L16;
    }

    /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":866
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
 */
        __pyx_v_stop = -1L;

        /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
        goto __pyx_L19;
      }

      /* "View.MemoryView":868
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 *         if not have_step:
 */
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L19:;
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    __pyx_L16:;

    /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":871
 * 
 *         if not have_step:
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_step = 1;

      /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    }

    /* "View.MemoryView":875
 * 
 *         with cython.cdivision(True):
 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
 * 
 *             if (stop - start) - step * new_shape:
 */
    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);

    /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":878
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
 */
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    }

    /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":881
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    }

    /* "View.MemoryView":884
 * 
 * 
 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset
 */
    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);

    /* "View.MemoryView":885
 * 
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
 *         dst.suboffsets[new_ndim] = suboffset
 * 
 */
    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;

    /* "View.MemoryView":886
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
 * 
 * 
 */
    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
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  __pyx_L3:;

  /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":890
 * 
 *     if suboffset_dim[0] < 0:
 *         dst.data += start * stride             # <<<<<<<<<<<<<<
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 */
    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));

    /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
    goto __pyx_L23;
  }

  /* "View.MemoryView":892
 *         dst.data += start * stride
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
 * 
 *     if suboffset >= 0:
 */
  /*else*/ {
    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
  }
  __pyx_L23:;

  /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":897
 *         if not is_slice:
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 */
        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);

        /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
        goto __pyx_L26;
      }

      /* "View.MemoryView":899
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
 *                                      "must be indexed and not sliced", dim)
 *         else:
 */
      /*else*/ {

        /* "View.MemoryView":900
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
 *         else:
 *             suboffset_dim[0] = new_ndim
 */
        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(2, 899, __pyx_L1_error)
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      __pyx_L26:;

      /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
      goto __pyx_L25;
    }

    /* "View.MemoryView":902
 *                                      "must be indexed and not sliced", dim)
 *         else:
 *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    /*else*/ {
      (__pyx_v_suboffset_dim[0]) = __pyx_v_new_ndim;
    }
    __pyx_L25:;

    /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  }

  /* "View.MemoryView":904
 *             suboffset_dim[0] = new_ndim
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":807
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')
 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

  /* function exit code */
  __pyx_L1_error:;
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    #ifdef WITH_THREAD
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    #endif
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  return __pyx_r;
}

/* "View.MemoryView":910
 * 
 * @cname('__pyx_pybuffer_index')
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,             # <<<<<<<<<<<<<<
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1
 */

static char *__pyx_pybuffer_index(Py_buffer *__pyx_v_view, char *__pyx_v_bufp, Py_ssize_t __pyx_v_index, Py_ssize_t __pyx_v_dim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_stride;
  Py_ssize_t __pyx_v_suboffset;
  Py_ssize_t __pyx_v_itemsize;
  char *__pyx_v_resultp;
  char *__pyx_r;
  __Pyx_TraceDeclarations
  __Pyx_RefNannyDeclarations
  Py_ssize_t __pyx_t_1;
  int __pyx_t_2;
  PyObject *__pyx_t_3 = NULL;
  PyObject *__pyx_t_4 = NULL;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_RefNannySetupContext("pybuffer_index", 0);
  __Pyx_TraceCall("pybuffer_index", __pyx_f[2], 910, 0, __PYX_ERR(2, 910, __pyx_L1_error));

  /* "View.MemoryView":912
 * cdef char *pybuffer_index(Py_buffer *view, char *bufp, Py_ssize_t index,
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t itemsize = view.itemsize
 *     cdef char *resultp
 */
  __pyx_v_suboffset = -1L;

  /* "View.MemoryView":913
 *                           Py_ssize_t dim) except NULL:
 *     cdef Py_ssize_t shape, stride, suboffset = -1
 *     cdef Py_ssize_t itemsize = view.itemsize             # <<<<<<<<<<<<<<
 *     cdef char *resultp
 * 
 */
  __pyx_t_1 = __pyx_v_view->itemsize;
  __pyx_v_itemsize = __pyx_t_1;

  /* "View.MemoryView":916
 *     cdef char *resultp
 * 
 *     if view.ndim == 0:             # <<<<<<<<<<<<<<
 *         shape = view.len / itemsize
 *         stride = itemsize
 */
  __pyx_t_2 = ((__pyx_v_view->ndim == 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":917
 * 
 *     if view.ndim == 0:
 *         shape = view.len / itemsize             # <<<<<<<<<<<<<<
 *         stride = itemsize
 *     else:
 */
    if (unlikely(__pyx_v_itemsize == 0)) {
      PyErr_SetString(PyExc_ZeroDivisionError, "integer division or modulo by zero");
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    else if (sizeof(Py_ssize_t) == sizeof(long) && (!(((Py_ssize_t)-1) > 0)) && unlikely(__pyx_v_itemsize == (Py_ssize_t)-1)  && unlikely(UNARY_NEG_WOULD_OVERFLOW(__pyx_v_view->len))) {
      PyErr_SetString(PyExc_OverflowError, "value too large to perform division");
      __PYX_ERR(2, 917, __pyx_L1_error)
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    __pyx_v_shape = __Pyx_div_Py_ssize_t(__pyx_v_view->len, __pyx_v_itemsize);

    /* "View.MemoryView":918
 *     if view.ndim == 0:
 *         shape = view.len / itemsize
 *         stride = itemsize             # <<<<<<<<<<<<<<
 *     else:
 *         shape = view.shape[dim]
 */
    __pyx_v_stride = __pyx_v_itemsize;

    /* "View.MemoryView":916
 *     cdef char *resultp
 * 
 *     if view.ndim == 0:             # <<<<<<<<<<<<<<
 *         shape = view.len / itemsize
 *         stride = itemsize
 */
    goto __pyx_L3;
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  /* "View.MemoryView":920
 *         stride = itemsize
 *     else:
 *         shape = view.shape[dim]             # <<<<<<<<<<<<<<
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:
 */
  /*else*/ {
    __pyx_v_shape = (__pyx_v_view->shape[__pyx_v_dim]);

    /* "View.MemoryView":921
 *     else:
 *         shape = view.shape[dim]
 *         stride = view.strides[dim]             # <<<<<<<<<<<<<<
 *         if view.suboffsets != NULL:
 *             suboffset = view.suboffsets[dim]
 */
    __pyx_v_stride = (__pyx_v_view->strides[__pyx_v_dim]);

    /* "View.MemoryView":922
 *         shape = view.shape[dim]
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:             # <<<<<<<<<<<<<<
 *             suboffset = view.suboffsets[dim]
 * 
 */
    __pyx_t_2 = ((__pyx_v_view->suboffsets != NULL) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":923
 *         stride = view.strides[dim]
 *         if view.suboffsets != NULL:
 *             suboffset = view.suboffsets[dim]             # <<<<<<<<<<<<<<
 * 
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 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
 *     if arg < 0:             # <<<<<<<<<<<<<<
 *         return -arg
 *     else:
 */
  }

  /* "View.MemoryView":1113
 *         return -arg
 *     else:
 *         return arg             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_get_best_slice_order')
 */
  /*else*/ {
    __pyx_r = __pyx_v_arg;
    goto __pyx_L0;
  }

  /* "View.MemoryView":1109
 * 
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<
 *     if arg < 0:
 *         return -arg
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("View.MemoryView.abs_py_ssize_t", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 1);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_TraceReturn(Py_None, 1);
  return __pyx_r;
}

/* "View.MemoryView":1116
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

static char __pyx_get_best_slice_order(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim) {
  int __pyx_v_i;
  Py_ssize_t __pyx_v_c_stride;
  Py_ssize_t __pyx_v_f_stride;
  char __pyx_r;
  __Pyx_TraceDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_TraceCall("get_best_order", __pyx_f[2], 1116, 1, __PYX_ERR(2, 1116, __pyx_L1_error));

  /* "View.MemoryView":1121
 *     """
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t f_stride = 0
 * 
 */
  __pyx_v_c_stride = 0;

  /* "View.MemoryView":1122
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0
 *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_f_stride = 0;

  /* "View.MemoryView":1124
 *     cdef Py_ssize_t f_stride = 0
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

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

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

      /* "View.MemoryView":1127
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
      goto __pyx_L4_break;

      /* "View.MemoryView":1125
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L4_break:;

  /* "View.MemoryView":1129
 *             break
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 */
  __pyx_t_1 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_1;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1130
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1131
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1132
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 */
      goto __pyx_L7_break;

      /* "View.MemoryView":1130
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L7_break:;

  /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1135
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 *         return 'C'             # <<<<<<<<<<<<<<
 *     else:
 *         return 'F'
 */
    __pyx_r = 'C';
    goto __pyx_L0;

    /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  }

  /* "View.MemoryView":1137
 *         return 'C'
 *     else:
 *         return 'F'             # <<<<<<<<<<<<<<
 * 
 * @cython.cdivision(True)
 */
  /*else*/ {
    __pyx_r = 'F';
    goto __pyx_L0;
  }

  /* "View.MemoryView":1116
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("View.MemoryView.get_best_order", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 1);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_TraceReturn(Py_None, 1);
  return __pyx_r;
}

/* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

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

  /* "View.MemoryView":1147
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 */
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);

  /* "View.MemoryView":1148
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 */
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);

  /* "View.MemoryView":1149
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 */
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);

  /* "View.MemoryView":1150
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);

  /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1154
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 */
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
    __pyx_t_3 = (__pyx_t_2 != 0);
    __pyx_t_1 = __pyx_t_3;
    __pyx_L5_bool_binop_done:;

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    if (__pyx_t_1) {

      /* "View.MemoryView":1155
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
 *        else:
 *            for i in range(dst_extent):
 */
      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));

      /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
    }

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

        /* "View.MemoryView":1158
 *        else:
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                src_data += src_stride
 *                dst_data += dst_stride
 */
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));

        /* "View.MemoryView":1159
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride             # <<<<<<<<<<<<<<
 *                dst_data += dst_stride
 *     else:
 */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1160
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 *                dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
 */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1162
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    __pyx_t_5 = __pyx_t_4;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_i = __pyx_t_6;

      /* "View.MemoryView":1163
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1167
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1168
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
 */
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
  __Pyx_TraceDeclarations
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_TraceCall("copy_strided_to_strided", __pyx_f[2], 1170, 1, __PYX_ERR(2, 1170, __pyx_L1_error));

  /* "View.MemoryView":1173
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("View.MemoryView.copy_strided_to_strided", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 1);
  __pyx_L0:;
  __Pyx_TraceReturn(Py_None, 1);
}

/* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  __Pyx_TraceDeclarations
  Py_ssize_t __pyx_t_1;
  Py_ssize_t *__pyx_t_2;
  Py_ssize_t *__pyx_t_3;
  Py_ssize_t *__pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  __Pyx_TraceCall("slice_get_size", __pyx_f[2], 1177, 1, __PYX_ERR(2, 1177, __pyx_L1_error));

  /* "View.MemoryView":1179
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for shape in src.shape[:ndim]:
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1181
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= shape
 * 
 */
  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
    __pyx_t_2 = __pyx_t_4;
    __pyx_v_shape = (__pyx_t_2[0]);

    /* "View.MemoryView":1182
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= shape             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
  }

  /* "View.MemoryView":1184
 *         size *= shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("View.MemoryView.slice_get_size", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 1);
  __pyx_r = 0;
  __pyx_L0:;
  __Pyx_TraceReturn(Py_None, 1);
  return __pyx_r;
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 */
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 * 
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 *         transpose_memslice(&src)
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 *     refcount_copying(&dst, dtype_is_object, ndim, False)
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 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
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 * 
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 * 
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 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
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 */
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 *     refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
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/* "View.MemoryView":1340
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/* "View.MemoryView":1362
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/* "View.MemoryView":1377
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static void __pyx_memoryview_refcount_objects_in_slice(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, int __pyx_v_inc) {
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/* "View.MemoryView":1397
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  }
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  p = ((struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *)o);
  p->__pyx_vtab = __pyx_vtabptr_5vegas_6_vegas_AdaptiveMap;
  p->grid.data = NULL;
  p->grid.memview = NULL;
  p->inc.data = NULL;
  p->inc.memview = NULL;
  p->ninc.data = NULL;
  p->ninc.memview = NULL;
  p->sum_f.data = NULL;
  p->sum_f.memview = NULL;
  p->n_f.data = NULL;
  p->n_f.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas_AdaptiveMap(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *p = (struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  __PYX_XDEC_MEMVIEW(&p->grid, 1);
  __PYX_XDEC_MEMVIEW(&p->inc, 1);
  __PYX_XDEC_MEMVIEW(&p->ninc, 1);
  __PYX_XDEC_MEMVIEW(&p->sum_f, 1);
  __PYX_XDEC_MEMVIEW(&p->n_f, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11AdaptiveMap_dim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_3dim_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11AdaptiveMap_grid(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_4grid_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11AdaptiveMap_inc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_3inc_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11AdaptiveMap_ninc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_4ninc_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11AdaptiveMap_sum_f(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_5sum_f_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_11AdaptiveMap_sum_f(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_5sum_f_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11AdaptiveMap_n_f(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_3n_f_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_11AdaptiveMap_n_f(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_11AdaptiveMap_3n_f_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyMethodDef __pyx_methods_5vegas_6_vegas_AdaptiveMap[] = {
  {"region", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_3region, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_2region},
  {"extract_grid", (PyCFunction)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_5extract_grid, METH_NOARGS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_4extract_grid},
  {"__reduce__", (PyCFunction)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_7__reduce__, METH_NOARGS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_6__reduce__},
  {"settings", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_9settings, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_8settings},
  {"random", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_11random, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_10random},
  {"make_uniform", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_13make_uniform, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_12make_uniform},
  {"jac1d", (PyCFunction)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_17jac1d, METH_O, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_16jac1d},
  {"jac", (PyCFunction)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_19jac, METH_O, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_18jac},
  {"adapt", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_27adapt, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_26adapt},
  {"clear", (PyCFunction)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_29clear, METH_NOARGS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_28clear},
  {"show_grid", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_31show_grid, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_30show_grid},
  {"adapt_to_samples", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_33adapt_to_samples, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_32adapt_to_samples},
  {"_add_training_data", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_35_add_training_data, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_34_add_training_data},
  {"_collect_training_data", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11AdaptiveMap_37_collect_training_data, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11AdaptiveMap_36_collect_training_data},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas_AdaptiveMap[] = {
  {(char *)"dim", __pyx_getprop_5vegas_6_vegas_11AdaptiveMap_dim, 0, (char *)" Number of dimensions.", 0},
  {(char *)"grid", __pyx_getprop_5vegas_6_vegas_11AdaptiveMap_grid, 0, (char *)0, 0},
  {(char *)"inc", __pyx_getprop_5vegas_6_vegas_11AdaptiveMap_inc, 0, (char *)0, 0},
  {(char *)"ninc", __pyx_getprop_5vegas_6_vegas_11AdaptiveMap_ninc, 0, (char *)0, 0},
  {(char *)"sum_f", __pyx_getprop_5vegas_6_vegas_11AdaptiveMap_sum_f, __pyx_setprop_5vegas_6_vegas_11AdaptiveMap_sum_f, (char *)0, 0},
  {(char *)"n_f", __pyx_getprop_5vegas_6_vegas_11AdaptiveMap_n_f, __pyx_setprop_5vegas_6_vegas_11AdaptiveMap_n_f, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas_AdaptiveMap = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas.AdaptiveMap", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas_AdaptiveMap), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas_AdaptiveMap, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_5vegas_6_vegas_11AdaptiveMap_15__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  " Adaptive map ``y->x(y)`` for multidimensional ``y`` and ``x``.\n\n    An :class:`AdaptiveMap` defines a multidimensional map ``y -> x(y)``\n    from the unit hypercube, with ``0 <= y[d] <= 1``, to an arbitrary\n    hypercube in ``x`` space. Each direction is mapped independently\n    with a Jacobian that is tunable (i.e., \"adaptive\").\n\n    The map is specified by a grid in ``x``-space that, by definition,\n    maps into a uniformly spaced grid in ``y``-space. The nodes of\n    the grid are specified by ``grid[d, i]`` where d is the\n    direction (``d=0,1...dim-1``) and ``i`` labels the grid point\n    (``i=0,1...N``). The mapping for a specific point ``y`` into\n    ``x`` space is::\n\n        y[d] -> x[d] = grid[d, i(y[d])] + inc[d, i(y[d])] * delta(y[d])\n\n    where ``i(y)=floor(y*N``), ``delta(y)=y*N - i(y)``, and\n    ``inc[d, i] = grid[d, i+1] - grid[d, i]``. The Jacobian for this map, ::\n\n        dx[d]/dy[d] = inc[d, i(y[d])] * N,\n\n    is piece-wise constant and proportional to the ``x``-space grid\n    spacing. Each increment in the ``x``-space grid maps into an increment of\n    size ``1/N`` in the corresponding ``y`` space. So regions in\n    ``x`` space where ``inc[d, i]`` is small are stretched out\n    in ``y`` space, while larger increments are compressed.\n\n    The ``x`` grid for an :class:`AdaptiveMap` can be specified explicitly\n    when the map is created: for example, ::\n\n        m = AdaptiveMap([[0, 0.1, 1], [-1, 0, 1]])\n\n    creates a two-dimensional map where the ``x[0]`` interval ``(0,0.1)``\n    and ``(0.1,1)`` map into the ``y[0]`` intervals ``(0,0.5)`` and\n    ``(0.5,1)`` respectively, while ``x[1]`` intervals ``(-1,0)``\n    and ``(0,1)`` map into ``y[1]`` intervals ``(0,0.5)`` and  ``(0.5,1)``.\n\n    More typically, an uniform map with ``ninc`` increments \n    is first created: for example, ::\n\n        m = AdaptiveMap([[0, 1], [-1, 1]], ninc=1000)\n\n    creates a two-dimensional grid, with 1000 increments in each dir""ection, \n    that spans the volume ``0<=x[0]<=1``, ``-1<=x[1]<=1``. This map is then \n    trained with data ``f[j]`` corresponding to ``ny`` points ``y[j, d]``,\n    with ``j=0...ny-1``, (usually) uniformly distributed in |y| space:\n    for example, ::\n\n        m.add_training_data(y, f)\n        m.adapt(alpha=1.5)\n\n    ``m.adapt(alpha=1.5)`` shrinks grid increments where ``f[j]``\n    is large, and expands them where ``f[j]`` is small. Usually \n    one has to iterate over several sets of ``y``\\s and ``f``\\s\n    before the grid has fully adapted.\n\n    The speed with which the grid adapts is determined by parameter ``alpha``.\n    Large (positive) values imply rapid adaptation, while small values (much\n    less than one) imply slow adaptation. As in any iterative process that  \n    involves random numbers, it is  usually a good idea to slow adaptation \n    down in order to avoid instabilities caused by random fluctuations.\n\n    Args:\n        grid (list of arrays): Initial ``x`` grid, where ``grid[d][i]``\n            is the ``i``-th node in direction ``d``. Different directions\n            can have different numbers of nodes.\n        ninc (int or array or ``None``): ``ninc[d]`` (or ``ninc``, if it \n            is a number) is the number of increments along direction ``d`` \n            in the new  ``x`` grid. The new grid is designed to give the same\n            Jacobian ``dx(y)/dy`` as the original grid. The default value,\n            ``ninc=None``, leaves the grid unchanged.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas_AdaptiveMap, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas_AdaptiveMap, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_11AdaptiveMap_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas_AdaptiveMap, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_5vegas_6_vegas_Integrator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_5vegas_6_vegas_Integrator *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5vegas_6_vegas_Integrator *)o);
  p->analyzer = Py_None; Py_INCREF(Py_None);
  p->ran_array_generator = Py_None; Py_INCREF(Py_None);
  p->save = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->saveall = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->map = ((struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *)Py_None); Py_INCREF(Py_None);
  p->pool = Py_None; Py_INCREF(Py_None);
  p->neval_hcube_range.data = NULL;
  p->neval_hcube_range.memview = NULL;
  p->nstrat.data = NULL;
  p->nstrat.memview = NULL;
  p->y.data = NULL;
  p->y.memview = NULL;
  p->x.data = NULL;
  p->x.memview = NULL;
  p->jac.data = NULL;
  p->jac.memview = NULL;
  p->fdv2.data = NULL;
  p->fdv2.memview = NULL;
  p->neval_hcube.data = NULL;
  p->neval_hcube.memview = NULL;
  p->sigf.data = NULL;
  p->sigf.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas_Integrator(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas_Integrator *p = (struct __pyx_obj_5vegas_6_vegas_Integrator *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->analyzer);
  Py_CLEAR(p->ran_array_generator);
  Py_CLEAR(p->save);
  Py_CLEAR(p->saveall);
  Py_CLEAR(p->map);
  Py_CLEAR(p->pool);
  __PYX_XDEC_MEMVIEW(&p->neval_hcube_range, 1);
  __PYX_XDEC_MEMVIEW(&p->nstrat, 1);
  __PYX_XDEC_MEMVIEW(&p->y, 1);
  __PYX_XDEC_MEMVIEW(&p->x, 1);
  __PYX_XDEC_MEMVIEW(&p->jac, 1);
  __PYX_XDEC_MEMVIEW(&p->fdv2, 1);
  __PYX_XDEC_MEMVIEW(&p->neval_hcube, 1);
  __PYX_XDEC_MEMVIEW(&p->sigf, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5vegas_6_vegas_Integrator(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas_Integrator *p = (struct __pyx_obj_5vegas_6_vegas_Integrator *)o;
  if (p->analyzer) {
    e = (*v)(p->analyzer, a); if (e) return e;
  }
  if (p->ran_array_generator) {
    e = (*v)(p->ran_array_generator, a); if (e) return e;
  }
  if (p->map) {
    e = (*v)(((PyObject *)p->map), a); if (e) return e;
  }
  if (p->pool) {
    e = (*v)(p->pool, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5vegas_6_vegas_Integrator(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5vegas_6_vegas_Integrator *p = (struct __pyx_obj_5vegas_6_vegas_Integrator *)o;
  tmp = ((PyObject*)p->analyzer);
  p->analyzer = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->ran_array_generator);
  p->ran_array_generator = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->map);
  p->map = ((struct __pyx_obj_5vegas_6_vegas_AdaptiveMap *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->pool);
  p->pool = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_neval(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_5neval_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_neval(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_5neval_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_neval_hcube_range(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_17neval_hcube_range_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_neval_hcube_range(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_17neval_hcube_range_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_nhcube_batch(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_12nhcube_batch_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_nhcube_batch(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_12nhcube_batch_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_maxinc_axis(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_11maxinc_axis_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_maxinc_axis(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_11maxinc_axis_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_max_nhcube(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_10max_nhcube_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_max_nhcube(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_10max_nhcube_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_max_neval_hcube(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_15max_neval_hcube_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_max_neval_hcube(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_15max_neval_hcube_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_neval_frac(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_10neval_frac_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_neval_frac(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_10neval_frac_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_max_mem(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_7max_mem_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_max_mem(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_7max_mem_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_nitn(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_4nitn_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_nitn(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_4nitn_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_nproc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_5nproc_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_nproc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_5nproc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_alpha(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_5alpha_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_alpha(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_5alpha_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_rtol(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_4rtol_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_rtol(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_4rtol_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_atol(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_4atol_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_atol(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_4atol_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_minimize_mem(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_12minimize_mem_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_minimize_mem(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_12minimize_mem_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_adapt_to_errors(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_15adapt_to_errors_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_adapt_to_errors(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_15adapt_to_errors_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_beta(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_4beta_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_beta(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_4beta_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_adapt(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_5adapt_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_adapt(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_5adapt_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_analyzer(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_8analyzer_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_analyzer(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_8analyzer_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_10Integrator_8analyzer_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_ran_array_generator(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_19ran_array_generator_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_ran_array_generator(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_19ran_array_generator_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_10Integrator_19ran_array_generator_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_sync_ran(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_8sync_ran_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_sync_ran(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_8sync_ran_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_mpi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_3mpi_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_mpi(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_3mpi_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_uniform_nstrat(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_14uniform_nstrat_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_uniform_nstrat(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_14uniform_nstrat_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_uses_jac(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_8uses_jac_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_uses_jac(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_8uses_jac_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_save(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_4save_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_save(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_4save_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_10Integrator_4save_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_saveall(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_7saveall_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_10Integrator_saveall(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_10Integrator_7saveall_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_10Integrator_7saveall_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_nstrat(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_6nstrat_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_map(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_3map_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_pool(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_4pool_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_sum_sigf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_8sum_sigf_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_dim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_3dim_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_last_neval(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_10last_neval_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_min_neval_hcube(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_15min_neval_hcube_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_nhcube(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_6nhcube_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_10Integrator_sigf(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_10Integrator_4sigf_1__get__(o);
}

static PyMethodDef __pyx_methods_5vegas_6_vegas_Integrator[] = {
  {"__del__", (PyCFunction)__pyx_pw_5vegas_6_vegas_10Integrator_3__del__, METH_NOARGS, 0},
  {"__reduce__", (PyCFunction)__pyx_pw_5vegas_6_vegas_10Integrator_5__reduce__, METH_NOARGS, __pyx_doc_5vegas_6_vegas_10Integrator_4__reduce__},
  {"__setstate__", (PyCFunction)__pyx_pw_5vegas_6_vegas_10Integrator_7__setstate__, METH_O, __pyx_doc_5vegas_6_vegas_10Integrator_6__setstate__},
  {"set", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_10Integrator_9set, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_10Integrator_8set},
  {"settings", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_10Integrator_11settings, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_10Integrator_10settings},
  {"_fill_sigf", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_10Integrator_13_fill_sigf, METH_VARARGS|METH_KEYWORDS, 0},
  {"_get_mpi_rank", (PyCFunction)__pyx_pw_5vegas_6_vegas_10Integrator_15_get_mpi_rank, METH_NOARGS, 0},
  {"random_batch", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_10Integrator_17random_batch, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_10Integrator_16random_batch},
  {"random", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_10Integrator_20random, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_10Integrator_19random},
  {"synchronize_random", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_10Integrator_23synchronize_random, METH_VARARGS|METH_KEYWORDS, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas_Integrator[] = {
  {(char *)"neval", __pyx_getprop_5vegas_6_vegas_10Integrator_neval, __pyx_setprop_5vegas_6_vegas_10Integrator_neval, (char *)0, 0},
  {(char *)"neval_hcube_range", __pyx_getprop_5vegas_6_vegas_10Integrator_neval_hcube_range, __pyx_setprop_5vegas_6_vegas_10Integrator_neval_hcube_range, (char *)0, 0},
  {(char *)"nhcube_batch", __pyx_getprop_5vegas_6_vegas_10Integrator_nhcube_batch, __pyx_setprop_5vegas_6_vegas_10Integrator_nhcube_batch, (char *)0, 0},
  {(char *)"maxinc_axis", __pyx_getprop_5vegas_6_vegas_10Integrator_maxinc_axis, __pyx_setprop_5vegas_6_vegas_10Integrator_maxinc_axis, (char *)0, 0},
  {(char *)"max_nhcube", __pyx_getprop_5vegas_6_vegas_10Integrator_max_nhcube, __pyx_setprop_5vegas_6_vegas_10Integrator_max_nhcube, (char *)0, 0},
  {(char *)"max_neval_hcube", __pyx_getprop_5vegas_6_vegas_10Integrator_max_neval_hcube, __pyx_setprop_5vegas_6_vegas_10Integrator_max_neval_hcube, (char *)0, 0},
  {(char *)"neval_frac", __pyx_getprop_5vegas_6_vegas_10Integrator_neval_frac, __pyx_setprop_5vegas_6_vegas_10Integrator_neval_frac, (char *)0, 0},
  {(char *)"max_mem", __pyx_getprop_5vegas_6_vegas_10Integrator_max_mem, __pyx_setprop_5vegas_6_vegas_10Integrator_max_mem, (char *)0, 0},
  {(char *)"nitn", __pyx_getprop_5vegas_6_vegas_10Integrator_nitn, __pyx_setprop_5vegas_6_vegas_10Integrator_nitn, (char *)0, 0},
  {(char *)"nproc", __pyx_getprop_5vegas_6_vegas_10Integrator_nproc, __pyx_setprop_5vegas_6_vegas_10Integrator_nproc, (char *)0, 0},
  {(char *)"alpha", __pyx_getprop_5vegas_6_vegas_10Integrator_alpha, __pyx_setprop_5vegas_6_vegas_10Integrator_alpha, (char *)0, 0},
  {(char *)"rtol", __pyx_getprop_5vegas_6_vegas_10Integrator_rtol, __pyx_setprop_5vegas_6_vegas_10Integrator_rtol, (char *)0, 0},
  {(char *)"atol", __pyx_getprop_5vegas_6_vegas_10Integrator_atol, __pyx_setprop_5vegas_6_vegas_10Integrator_atol, (char *)0, 0},
  {(char *)"minimize_mem", __pyx_getprop_5vegas_6_vegas_10Integrator_minimize_mem, __pyx_setprop_5vegas_6_vegas_10Integrator_minimize_mem, (char *)0, 0},
  {(char *)"adapt_to_errors", __pyx_getprop_5vegas_6_vegas_10Integrator_adapt_to_errors, __pyx_setprop_5vegas_6_vegas_10Integrator_adapt_to_errors, (char *)0, 0},
  {(char *)"beta", __pyx_getprop_5vegas_6_vegas_10Integrator_beta, __pyx_setprop_5vegas_6_vegas_10Integrator_beta, (char *)0, 0},
  {(char *)"adapt", __pyx_getprop_5vegas_6_vegas_10Integrator_adapt, __pyx_setprop_5vegas_6_vegas_10Integrator_adapt, (char *)0, 0},
  {(char *)"analyzer", __pyx_getprop_5vegas_6_vegas_10Integrator_analyzer, __pyx_setprop_5vegas_6_vegas_10Integrator_analyzer, (char *)0, 0},
  {(char *)"ran_array_generator", __pyx_getprop_5vegas_6_vegas_10Integrator_ran_array_generator, __pyx_setprop_5vegas_6_vegas_10Integrator_ran_array_generator, (char *)0, 0},
  {(char *)"sync_ran", __pyx_getprop_5vegas_6_vegas_10Integrator_sync_ran, __pyx_setprop_5vegas_6_vegas_10Integrator_sync_ran, (char *)0, 0},
  {(char *)"mpi", __pyx_getprop_5vegas_6_vegas_10Integrator_mpi, __pyx_setprop_5vegas_6_vegas_10Integrator_mpi, (char *)0, 0},
  {(char *)"uniform_nstrat", __pyx_getprop_5vegas_6_vegas_10Integrator_uniform_nstrat, __pyx_setprop_5vegas_6_vegas_10Integrator_uniform_nstrat, (char *)0, 0},
  {(char *)"uses_jac", __pyx_getprop_5vegas_6_vegas_10Integrator_uses_jac, __pyx_setprop_5vegas_6_vegas_10Integrator_uses_jac, (char *)0, 0},
  {(char *)"save", __pyx_getprop_5vegas_6_vegas_10Integrator_save, __pyx_setprop_5vegas_6_vegas_10Integrator_save, (char *)0, 0},
  {(char *)"saveall", __pyx_getprop_5vegas_6_vegas_10Integrator_saveall, __pyx_setprop_5vegas_6_vegas_10Integrator_saveall, (char *)0, 0},
  {(char *)"nstrat", __pyx_getprop_5vegas_6_vegas_10Integrator_nstrat, 0, (char *)0, 0},
  {(char *)"map", __pyx_getprop_5vegas_6_vegas_10Integrator_map, 0, (char *)0, 0},
  {(char *)"pool", __pyx_getprop_5vegas_6_vegas_10Integrator_pool, 0, (char *)0, 0},
  {(char *)"sum_sigf", __pyx_getprop_5vegas_6_vegas_10Integrator_sum_sigf, 0, (char *)0, 0},
  {(char *)"dim", __pyx_getprop_5vegas_6_vegas_10Integrator_dim, 0, (char *)0, 0},
  {(char *)"last_neval", __pyx_getprop_5vegas_6_vegas_10Integrator_last_neval, 0, (char *)0, 0},
  {(char *)"min_neval_hcube", __pyx_getprop_5vegas_6_vegas_10Integrator_min_neval_hcube, 0, (char *)0, 0},
  {(char *)"nhcube", __pyx_getprop_5vegas_6_vegas_10Integrator_nhcube, 0, (char *)0, 0},
  {(char *)"sigf", __pyx_getprop_5vegas_6_vegas_10Integrator_sigf, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas_Integrator = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas.Integrator", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas_Integrator), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas_Integrator, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_5vegas_6_vegas_10Integrator_25__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  " Adaptive multidimensional Monte Carlo integration.\n\n    :class:`vegas.Integrator` objects make Monte Carlo\n    estimates of multidimensional functions ``f(x)``\n    where ``x[d]`` is a point in the integration volume::\n\n        integ = vegas.Integrator(integration_region)\n\n        result = integ(f, nitn=10, neval=10000)\n\n    The integator makes ``nitn`` estimates of the integral,  each\n    using at most ``neval`` samples of the integrand, as it adapts to\n    the specific features of the integrand. Successive estimates (iterations)\n    typically improve in accuracy until the integrator has fully\n    adapted. The integrator returns the weighted average of all\n    ``nitn`` estimates, together with an estimate of the statistical\n    (Monte Carlo) uncertainty in that estimate of the integral. The\n    result is an object of type :class:`RAvg` (which is derived\n    from :class:`gvar.GVar`).\n\n    Integrands ``f(x)`` return numbers, arrays of numbers (any shape), or\n    dictionaries whose values are numbers or arrays (any shape). Each number\n    returned by an integrand corresponds to a different integrand. When\n    arrays are returned, |vegas| adapts to the first number\n    in the flattened array. When dictionaries are returned,\n    |vegas| adapts to the first number in the value corresponding to\n    the first key.\n\n    |vegas| can generate integration points in batches for integrands\n    built from classes derived from :class:`vegas.BatchIntegrand`, or\n    integrand functions decorated by :func:`vegas.batchintegrand`. Batch\n    integrands are typically much faster, especially if they are coded in\n    Cython or C/C++ or Fortran.\n\n    |Integrator|\\s have a large number of parameters but the\n    only ones that most people will care about are: the\n    number ``nitn`` of iterations of the |vegas| algorithm;\n    the maximum number ``neval`` of integrand evaluations per\n    iteration; and the damping parameter ``alpha``, which is used\n    t""o slow down the adaptive algorithms when they would otherwise\n    be unstable (e.g., with very peaky integrands). Setting parameter\n    ``analyzer=vegas.reporter()`` is sometimes useful, as well,\n    since it causes |vegas| to print (on ``sys.stdout``)\n    intermediate results from each iteration, as they are\n    produced. This helps when each iteration takes a long time\n    to complete (e.g., longer than an hour) because it allows you to\n    monitor progress as it is being made (or not).\n\n    Args:\n        map (array, :class:`vegas.AdaptiveMap` or :class:`vegas.Integrator`):\n            The integration region  as specified by an array ``map[d, i]``\n            where ``d`` is the direction and ``i=0,1`` specify the lower\n            and upper limits of integration in direction ``d``.\n\n            ``map`` could also be the integration map from\n            another |Integrator|, or that |Integrator|\n            itself. In this case the grid is copied from the\n            existing integrator.\n        nitn (positive int): The maximum number of iterations used to\n            adapt to the integrand and estimate its value. The\n            default value is 10; typical values range from 10\n            to 20.\n        neval (positive int): Approximate number of integrand evaluations\n            in each iteration of the |vegas| algorithm. Increasing\n            ``neval`` increases the precision: statistical errors should\n            fall at least as fast as ``sqrt(1./neval)`` and often\n            fall much faster.  The default value is 1000;\n            real problems often require 10--10,000 times more evaluations\n            than this. \n        nstrat (int array): ``nstrat[d]`` specifies the number of\n            stratifications to use in direction ``d``. By default this \n            parameter is set automatically, based on parameter ``neval``,\n            with ``nstrat[d]`` approximately the same for every ``d``. \n            Specifying ``nst""rat`` explicitly makes it possible to \n            concentrate stratifications in directions  where they are most \n            needed. If ``nstrat`` is set but ``neval`` is not, \n            ``neval`` is set equal to ``2*prod(nstrat)/(1-neval_frac)``. \n        alpha (float): Damping parameter controlling the remapping\n            of the integration variables as |vegas| adapts to the\n            integrand. Smaller values slow adaptation, which may be\n            desirable for difficult integrands. Small or zero ``alpha``\\s\n            are also sometimes useful after the grid has adapted,\n            to minimize fluctuations away from the optimal grid.\n            The default value is 0.5.\n        beta (float): Damping parameter controlling the redistribution\n            of integrand evaluations across hypercubes in the\n            stratified sampling of the integral (over transformed\n            variables). Smaller values limit the amount of\n            redistribution. The theoretically optimal value is 1;\n            setting ``beta=0`` prevents any redistribution of\n            evaluations. The default value is 0.75.\n        neval_frac (float): Approximate fraction of function evaluations\n            used for adaptive stratified sampling. |vegas| \n            distributes ``(1-neval_frac)*neval``  integrand evaluations \n            uniformly over all hypercubes, with at  least 2 evaluations \n            per hypercube. The remaining ``neval_frac*neval`` \n            evaluations are concentrated in hypercubes where the errors \n            are largest. Increasing ``neval_frac`` makes more integrand \n            evaluations available for adaptive stratified \n            sampling, but reduces the number of hypercubes, which limits\n            the algorithm's ability to adapt. Ignored when ``beta=0``. \n            Default is ``neval_frac=0.75``. \n        adapt (bool): Setting ``adapt=False`` prevents further\n            adaptation by |vegas|."" Typically this would be done\n            after training the |Integrator| on an integrand, in order\n            to stabilize further estimates of the integral. |vegas| uses\n            unweighted averages to combine results from different\n            iterations when ``adapt=False``. The default setting\n            is ``adapt=True``.\n        nproc (int or None): Number of processes/processors used\n            to evalute the integrand. If ``nproc>1`` Python's \n            :mod:`multiprocessing` module is used to spread \n            integration points across multiple processors, thereby \n            potentially reducing the time required to evaluate the \n            integral. There is a significant overhead involved in using\n            multiple processors so this option is useful only when \n            the integrand is expensive to evaluate. When using the \n            :mod:`multiprocessing` module in its default mode for \n            MacOS and Windows, it is important that the main module \n            can be safely imported (i.e., without launching new \n            processes). This can be accomplished with\n            some version of the ``if __name__ == '__main__`:``\n            construct in the main module: e.g., ::\n\n                if __name__ == '__main__': \n                    main()\n\n            This is not an issue on other Unix platforms.\n            See the :mod:`multiprocessing` documentation \n            for more information. Note that setting ``nproc``\n            greater than 1 disables MPI support.\n            Set ``nproc=None`` to use all the processors \n            on the machine (equivalent to ``nproc=os.cpu_count()``). \n            Default value is ``nproc=1``\n        analyzer: An object with methods\n\n                ``analyzer.begin(itn, integrator)``\n\n                ``analyzer.end(itn_result, result)``\n\n            where: ``begin(itn, integrator)`` is called at the start\n            of each |vegas| iteration ""with ``itn`` equal to the\n            iteration number and ``integrator`` equal to the\n            integrator itself; and ``end(itn_result, result)``\n            is called at the end of each iteration with\n            ``itn_result`` equal to the result for that\n            iteration and ``result`` equal to the cummulative\n            result of all iterations so far.\n            Setting ``analyzer=vegas.reporter()``, for\n            example, causes vegas to print out a running report\n            of its results as they are produced. The default\n            is ``analyzer=None``.\n        uses_jac (bool): Setting ``uses_jac=True`` causes |vegas| to \n            call the integrand with two arguments: ``fcn(x, jac=jac)``.\n            The second argument is the Jacobian ``jac[d] = dx[d]/dy[d]`` \n            of the |vegas| map. The integral over ``x[d]`` of ``1/jac[d]``\n            equals 1 (exactly). The default setting \n            is ``uses_jac=False``.\n        nhcube_batch (positive int): The number of hypercubes (in |y| space)\n            whose integration points are combined into a single\n            batch to be passed to the integrand, together,\n            when using |vegas| in batch mode.\n            The default value is 10,000. Larger values may be\n            lead to faster evaluations, but at the cost of\n            more memory for internal work arrays.\n        maxinc_axis (positive int): The maximum number of increments\n            per axis allowed for the |x|-space grid. The default\n            value is 1000; there is probably little need to use\n            other values.\n        max_nhcube (positive int): Maximum number of |y|-space hypercubes\n            used for stratified sampling. Setting ``max_nhcube=1``\n            turns stratified sampling off, which is probably never\n            a good idea. The default setting (1e9) was chosen to\n            correspond to the point where internal work arrays\n            become comparabl""e in size to the typical amount of RAM\n            available to a processor (in a laptop in 2014).\n            Internal memory usage is large only when ``beta>0``\n            and ``minimize_mem=False``; therefore ``max_nhcube`` is\n            ignored if ``beta=0`` or ``minimize_mem=True``.\n        max_neval_hcube (positive int): Maximum number of integrand\n            evaluations per hypercube in the stratification. The default\n            value is 1e6. Larger values might allow for more adaptation\n            (when ``beta>0``), but also can result in large internal\n            work arrays.\n        max_mem (positive float): Maximum number of floats allowed in \n            internal work arrays (approx.). A ``MemoryError`` is \n            raised if the work arrays are too large, in which case\n            one might want to reduce ``max_neval_hcube`` or \n            ``max_nhcube`` (or increase ``max_mem`` if there is \n            enough RAM). Default value is 1e9.\n        rtol (float): Relative error in the integral estimate\n            at which point the integrator can stop. The default\n            value is 0.0 which turns off this stopping condition.\n            This stopping condition can be quite unreliable\n            in early iterations, before |vegas| has converged.\n            Use with caution, if at all.\n        atol (float): Absolute error in the integral estimate\n            at which point the integrator can stop. The default\n            value is 0.0 which turns off this stopping condition.\n            This stopping condition can be quite unreliable\n            in early iterations, before |vegas| has converged.\n            Use with caution, if at all.\n        ran_array_generator: Function that generates\n            :mod:`numpy` arrays of random numbers distributed uniformly\n            between 0 and 1. ``ran_array_generator(shape)`` should\n            create an array whose dimensions are specified by the\n            integer-val""ued tuple ``shape``. The default generator\n            is ``numpy.random.random``.\n        sync_ran (bool): If ``True`` (default), the default random\n            number generator is synchronized across all processors when\n            using MPI. If ``False``, |vegas| does no synchronization\n            (but the random numbers should synchronized some other\n            way). \n        adapt_to_errors (bool): \n            ``adapt_to_errors=False`` causes |vegas| to remap the \n            integration variables to emphasize regions where ``|f(x)|`` \n            is largest. This is the default mode.\n\n            ``adapt_to_errors=True`` causes |vegas| to remap\n            variables to emphasize regions where the Monte Carlo\n            error is largest. This might be superior when\n            the number of the number of stratifications (``self.nstrat``)\n            in the |y| grid is large (> 100). It is typically\n            useful only in one or two dimensions.\n        uniform_nstrat (bool): If ``True``, requires that the\n            ``nstrat[d]`` be equal for all ``d``. If ``False`` (default), \n            the algorithm maximizes the number of stratifications while \n            requiring ``|nstrat[d1] - nstrat[d2]| <= 1``. This parameter\n            is ignored if ``nstrat`` is specified explicitly.\n        mpi (bool): Setting ``mpi=False`` disables ``mpi`` support in\n            ``vegas`` even if ``mpi`` is available; setting ``mpi=True``\n            (default) allows use of ``mpi`` provided module :mod:`mpi4py`\n            is installed. This flag is ignored when ``mpi`` is not \n            being used (and so has no impact on performance).\n        minimize_mem (bool): When ``True``, |vegas| minimizes\n            internal workspace at the cost of extra evaluations of\n            the integrand. This can increase execution time by\n            50--100% but might be desirable when the number of\n            evaluations is very large (e.g., ``nev""al=1e9``). Normally\n            |vegas| uses internal work space that grows in\n            proportion to ``neval``. If that work space exceeds\n            the size of the RAM available to the processor,\n            |vegas| runs much more slowly. Setting ``minimize_mem=True``\n            greatly reduces the internal storage used by |vegas|; in\n            particular memory becomes independent of ``neval``. The default\n            setting (``minimize_mem=False``), however, is much superior\n            unless memory becomes a problem. (The large memory is needed\n            for adaptive stratified sampling, so memory is not\n            an issue if ``beta=0``.)\n    ", /*tp_doc*/
  __pyx_tp_traverse_5vegas_6_vegas_Integrator, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas_Integrator, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas_Integrator, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas_Integrator, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_10Integrator_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas_Integrator, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_5vegas_6_vegas_VegasResult(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_5vegas_6_vegas_VegasResult *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5vegas_6_vegas_VegasResult *)o);
  p->integrand = Py_None; Py_INCREF(Py_None);
  p->shape = Py_None; Py_INCREF(Py_None);
  p->result = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas_VegasResult(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas_VegasResult *p = (struct __pyx_obj_5vegas_6_vegas_VegasResult *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->integrand);
  Py_CLEAR(p->shape);
  Py_CLEAR(p->result);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5vegas_6_vegas_VegasResult(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas_VegasResult *p = (struct __pyx_obj_5vegas_6_vegas_VegasResult *)o;
  if (p->integrand) {
    e = (*v)(p->integrand, a); if (e) return e;
  }
  if (p->shape) {
    e = (*v)(p->shape, a); if (e) return e;
  }
  if (p->result) {
    e = (*v)(p->result, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5vegas_6_vegas_VegasResult(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5vegas_6_vegas_VegasResult *p = (struct __pyx_obj_5vegas_6_vegas_VegasResult *)o;
  tmp = ((PyObject*)p->integrand);
  p->integrand = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->shape);
  p->shape = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->result);
  p->result = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11VegasResult_integrand(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11VegasResult_9integrand_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11VegasResult_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11VegasResult_5shape_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11VegasResult_result(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11VegasResult_6result_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_11VegasResult_sum_neval(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_11VegasResult_9sum_neval_1__get__(o);
}

static PyMethodDef __pyx_methods_5vegas_6_vegas_VegasResult[] = {
  {"save", (PyCFunction)__pyx_pw_5vegas_6_vegas_11VegasResult_3save, METH_O, __pyx_doc_5vegas_6_vegas_11VegasResult_2save},
  {"saveall", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11VegasResult_5saveall, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11VegasResult_4saveall},
  {"update", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11VegasResult_7update, METH_VARARGS|METH_KEYWORDS, 0},
  {"update_analyzer", (PyCFunction)__pyx_pw_5vegas_6_vegas_11VegasResult_9update_analyzer, METH_O, __pyx_doc_5vegas_6_vegas_11VegasResult_8update_analyzer},
  {"converged", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_11VegasResult_11converged, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_11VegasResult_10converged},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_11VegasResult_13__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_11VegasResult_15__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas_VegasResult[] = {
  {(char *)"integrand", __pyx_getprop_5vegas_6_vegas_11VegasResult_integrand, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop_5vegas_6_vegas_11VegasResult_shape, 0, (char *)0, 0},
  {(char *)"result", __pyx_getprop_5vegas_6_vegas_11VegasResult_result, 0, (char *)0, 0},
  {(char *)"sum_neval", __pyx_getprop_5vegas_6_vegas_11VegasResult_sum_neval, 0, (char *)" Accumulated result object --- standard interface for integration results.\n\n    Integrands are flattened into 2-d arrays in |vegas|. This object\n    accumulates integration results from multiple iterations of |vegas|\n    and can convert them to the original integrand format. It also counts\n    the number of integrand evaluations used in all and adds it to the \n    result (``sum_neval``).\n\n    Args:\n        integrand: :class:`VegasIntegrand` object.\n        weighted (bool): use weighted average across iterations?\n\n    Attributes:\n        shape: shape of integrand result or ``None`` if dictionary.\n        result: accumulation of integral results. This is an object\n            of type :class:`vegas.RAvgArray` for array-valued integrands,\n            :class:`vegas.RAvgDict` for dictionary-valued integrands, and\n            :class:`vegas.RAvg` for scalar-valued integrands.\n        sum_neval: total number of integrand evaluations in all iterations.\n        avg_neval: average number of integrand evaluations per iteration.\n    ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas_VegasResult = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas.VegasResult", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas_VegasResult), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas_VegasResult, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_5vegas_6_vegas_VegasResult, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas_VegasResult, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas_VegasResult, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas_VegasResult, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_11VegasResult_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas_VegasResult, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_5vegas_6_vegas_VegasIntegrand(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *)o);
  p->shape = Py_None; Py_INCREF(Py_None);
  p->fcntype = Py_None; Py_INCREF(Py_None);
  p->eval = Py_None; Py_INCREF(Py_None);
  p->bdict = Py_None; Py_INCREF(Py_None);
  p->comm = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas_VegasIntegrand(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *p = (struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->shape);
  Py_CLEAR(p->fcntype);
  Py_CLEAR(p->eval);
  Py_CLEAR(p->bdict);
  Py_CLEAR(p->comm);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5vegas_6_vegas_VegasIntegrand(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *p = (struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *)o;
  if (p->shape) {
    e = (*v)(p->shape, a); if (e) return e;
  }
  if (p->fcntype) {
    e = (*v)(p->fcntype, a); if (e) return e;
  }
  if (p->eval) {
    e = (*v)(p->eval, a); if (e) return e;
  }
  if (p->bdict) {
    e = (*v)(p->bdict, a); if (e) return e;
  }
  if (p->comm) {
    e = (*v)(p->comm, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5vegas_6_vegas_VegasIntegrand(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *p = (struct __pyx_obj_5vegas_6_vegas_VegasIntegrand *)o;
  tmp = ((PyObject*)p->shape);
  p->shape = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->fcntype);
  p->fcntype = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->eval);
  p->eval = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->bdict);
  p->bdict = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->comm);
  p->comm = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5shape_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_shape(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5shape_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5shape_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_fcntype(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_7fcntype_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_fcntype(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_7fcntype_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_7fcntype_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4size_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_size(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4size_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_eval(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4eval_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_eval(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4eval_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4eval_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_bdict(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5bdict_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_bdict(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5bdict_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5bdict_5__del__(o);
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_nproc(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5nproc_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_nproc(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_5nproc_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_rank(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4rank_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_rank(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4rank_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5vegas_6_vegas_14VegasIntegrand_comm(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4comm_1__get__(o);
}

static int __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_comm(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4comm_3__set__(o, v);
  }
  else {
    return __pyx_pw_5vegas_6_vegas_14VegasIntegrand_4comm_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_5vegas_6_vegas_VegasIntegrand[] = {
  {"format_result", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_14VegasIntegrand_3format_result, METH_VARARGS|METH_KEYWORDS, 0},
  {"training", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_5vegas_6_vegas_14VegasIntegrand_5training, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5vegas_6_vegas_14VegasIntegrand_4training},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_14VegasIntegrand_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_14VegasIntegrand_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas_VegasIntegrand[] = {
  {(char *)"shape", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_shape, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_shape, (char *)0, 0},
  {(char *)"fcntype", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_fcntype, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_fcntype, (char *)0, 0},
  {(char *)"size", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_size, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_size, (char *)0, 0},
  {(char *)"eval", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_eval, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_eval, (char *)0, 0},
  {(char *)"bdict", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_bdict, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_bdict, (char *)0, 0},
  {(char *)"nproc", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_nproc, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_nproc, (char *)0, 0},
  {(char *)"rank", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_rank, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_rank, (char *)0, 0},
  {(char *)"comm", __pyx_getprop_5vegas_6_vegas_14VegasIntegrand_comm, __pyx_setprop_5vegas_6_vegas_14VegasIntegrand_comm, (char *)" Integand object --- standard interface for integrands\n\n    This class provides a standard interface for all |vegas| integrands.\n    It analyzes the integrand to determine the shape of its output.\n\n    All integrands are converted to lbatch integrands. Method ``eval(x)``\n    returns results packed into a 2-d array ``f[i, d]`` where ``i``\n    is the batch index and ``d`` indexes the different elements of the\n    integrand.\n\n    The integrands are configured for parallel processing\n    using MPI (via :mod:`mpi4py`) if ``mpi=True``.\n\n    Args:\n        fcn: Integrand function.\n        mpi: ``True`` (default) if mpi might be used; ``False`` otherwise.\n\n    Attributes:\n        eval: ``eval(x)`` returns ``fcn(x)`` repacked as a 2-d array.\n        shape: Shape of integrand ``fcn(x)`` or ``None`` if it is a dictionary.\n        size: Size of integrand.\n        nproc: Number of MPI processors (=1 if no MPI)\n        rank: MPI rank of processors (=0 if no MPI)\n    ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas_VegasIntegrand = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas.VegasIntegrand", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas_VegasIntegrand), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas_VegasIntegrand, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_5vegas_6_vegas_VegasIntegrand, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas_VegasIntegrand, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas_VegasIntegrand, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas_VegasIntegrand, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_14VegasIntegrand_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas_VegasIntegrand, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_NonBatch(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *)o);
  p->shape = Py_None; Py_INCREF(Py_None);
  p->fcn = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_NonBatch(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->shape);
  Py_CLEAR(p->fcn);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_NonBatch(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *)o;
  if (p->shape) {
    e = (*v)(p->shape, a); if (e) return e;
  }
  if (p->fcn) {
    e = (*v)(p->fcn, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_NonBatch(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch *)o;
  tmp = ((PyObject*)p->shape);
  p->shape = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->fcn);
  p->fcn = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_4size_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_5shape_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_fcn(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_3fcn_1__get__(o);
}

static PyMethodDef __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_NonBatch[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_NonBatch[] = {
  {(char *)"size", __pyx_getprop_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_size, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_shape, 0, (char *)0, 0},
  {(char *)"fcn", __pyx_getprop_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_fcn, 0, (char *)" Batch integrand from non-batch integrand. ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas__BatchIntegrand_from_NonBatch = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas._BatchIntegrand_from_NonBatch", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatch), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_NonBatch, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_3__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_NonBatch, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_NonBatch, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_NonBatch, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_NonBatch, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_29_BatchIntegrand_from_NonBatch_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_NonBatch, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *)o);
  p->fcn = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->fcn);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *)o;
  if (p->fcn) {
    e = (*v)(p->fcn, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict *)o;
  tmp = ((PyObject*)p->fcn);
  p->fcn = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_4size_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_fcn(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_3fcn_1__get__(o);
}

static PyMethodDef __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict[] = {
  {(char *)"size", __pyx_getprop_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_size, 0, (char *)0, 0},
  {(char *)"fcn", __pyx_getprop_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_fcn, 0, (char *)" Batch integrand from non-batch dict-integrand. ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas._BatchIntegrand_from_NonBatchDict", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_3__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_33_BatchIntegrand_from_NonBatchDict_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_NonBatchDict, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_Batch(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *)o);
  p->fcn = Py_None; Py_INCREF(Py_None);
  p->shape = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_Batch(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->fcn);
  Py_CLEAR(p->shape);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_Batch(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *)o;
  if (p->fcn) {
    e = (*v)(p->fcn, a); if (e) return e;
  }
  if (p->shape) {
    e = (*v)(p->shape, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_Batch(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch *)o;
  tmp = ((PyObject*)p->fcn);
  p->fcn = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->shape);
  p->shape = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5vegas_6_vegas_26_BatchIntegrand_from_Batch_fcn(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_26_BatchIntegrand_from_Batch_3fcn_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_26_BatchIntegrand_from_Batch_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_26_BatchIntegrand_from_Batch_5shape_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_26_BatchIntegrand_from_Batch_rbatch(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_26_BatchIntegrand_from_Batch_6rbatch_1__get__(o);
}

static PyMethodDef __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_Batch[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_26_BatchIntegrand_from_Batch_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_26_BatchIntegrand_from_Batch_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_Batch[] = {
  {(char *)"fcn", __pyx_getprop_5vegas_6_vegas_26_BatchIntegrand_from_Batch_fcn, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop_5vegas_6_vegas_26_BatchIntegrand_from_Batch_shape, 0, (char *)0, 0},
  {(char *)"rbatch", __pyx_getprop_5vegas_6_vegas_26_BatchIntegrand_from_Batch_rbatch, 0, (char *)" BatchIntegrand from batch function. ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas__BatchIntegrand_from_Batch = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas._BatchIntegrand_from_Batch", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_Batch), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_Batch, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_5vegas_6_vegas_26_BatchIntegrand_from_Batch_3__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_Batch, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_Batch, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_Batch, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_Batch, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_26_BatchIntegrand_from_Batch_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_Batch, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_BatchDict(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *)o);
  p->slice = Py_None; Py_INCREF(Py_None);
  p->shape = Py_None; Py_INCREF(Py_None);
  p->fcn = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_BatchDict(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->slice);
  Py_CLEAR(p->shape);
  Py_CLEAR(p->fcn);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_BatchDict(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *)o;
  if (p->slice) {
    e = (*v)(p->slice, a); if (e) return e;
  }
  if (p->shape) {
    e = (*v)(p->shape, a); if (e) return e;
  }
  if (p->fcn) {
    e = (*v)(p->fcn, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_BatchDict(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *p = (struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict *)o;
  tmp = ((PyObject*)p->slice);
  p->slice = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->shape);
  p->shape = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->fcn);
  p->fcn = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_4size_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_slice(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_5slice_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_5shape_1__get__(o);
}

static PyObject *__pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_rbatch(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_6rbatch_1__get__(o);
}

static PyMethodDef __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_BatchDict[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_BatchDict[] = {
  {(char *)"size", __pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_size, 0, (char *)0, 0},
  {(char *)"slice", __pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_slice, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_shape, 0, (char *)0, 0},
  {(char *)"rbatch", __pyx_getprop_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_rbatch, 0, (char *)" BatchIntegrand from batch dict-integrand. ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5vegas_6_vegas__BatchIntegrand_from_BatchDict = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas._BatchIntegrand_from_BatchDict", /*tp_name*/
  sizeof(struct __pyx_obj_5vegas_6_vegas__BatchIntegrand_from_BatchDict), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5vegas_6_vegas__BatchIntegrand_from_BatchDict, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  __pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_3__call__, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_5vegas_6_vegas__BatchIntegrand_from_BatchDict, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas__BatchIntegrand_from_BatchDict, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5vegas_6_vegas__BatchIntegrand_from_BatchDict, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5vegas_6_vegas__BatchIntegrand_from_BatchDict, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_5vegas_6_vegas_30_BatchIntegrand_from_BatchDict_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas__BatchIntegrand_from_BatchDict, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid *__pyx_freelist_5vegas_6_vegas___pyx_scope_struct__show_grid[8];
static int __pyx_freecount_5vegas_6_vegas___pyx_scope_struct__show_grid = 0;

static PyObject *__pyx_tp_new_5vegas_6_vegas___pyx_scope_struct__show_grid(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_5vegas_6_vegas___pyx_scope_struct__show_grid > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid)))) {
    o = (PyObject*)__pyx_freelist_5vegas_6_vegas___pyx_scope_struct__show_grid[--__pyx_freecount_5vegas_6_vegas___pyx_scope_struct__show_grid];
    memset(o, 0, sizeof(struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_5vegas_6_vegas___pyx_scope_struct__show_grid(PyObject *o) {
  struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid *p = (struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_axes);
  Py_CLEAR(p->__pyx_v_fig);
  Py_CLEAR(p->__pyx_v_ngrid);
  Py_CLEAR(p->__pyx_v_plotdata);
  Py_CLEAR(p->__pyx_v_plt);
  Py_CLEAR(p->__pyx_v_self);
  Py_CLEAR(p->__pyx_v_shrink);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_5vegas_6_vegas___pyx_scope_struct__show_grid < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid)))) {
    __pyx_freelist_5vegas_6_vegas___pyx_scope_struct__show_grid[__pyx_freecount_5vegas_6_vegas___pyx_scope_struct__show_grid++] = ((struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_5vegas_6_vegas___pyx_scope_struct__show_grid(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid *p = (struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct__show_grid *)o;
  if (p->__pyx_v_axes) {
    e = (*v)(p->__pyx_v_axes, a); if (e) return e;
  }
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  tmp = ((PyObject*)p->__pyx_v_fig);
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  return 0;
}

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  __pyx_tp_traverse_5vegas_6_vegas___pyx_scope_struct__show_grid, /*tp_traverse*/
  __pyx_tp_clear_5vegas_6_vegas___pyx_scope_struct__show_grid, /*tp_clear*/
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  0, /*tp_iternext*/
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  0, /*tp_is_gc*/
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  p->__pyx_v_y.memview = NULL;
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  p->__pyx_v_y0.memview = NULL;
  p->__pyx_v_yran.data = NULL;
  p->__pyx_v_yran.memview = NULL;
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static void __pyx_tp_dealloc_5vegas_6_vegas___pyx_scope_struct_1_random_batch(PyObject *o) {
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  Py_CLEAR(p->__pyx_v_self);
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static int __pyx_tp_traverse_5vegas_6_vegas___pyx_scope_struct_1_random_batch(PyObject *o, visitproc v, void *a) {
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static struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct_2_random *__pyx_freelist_5vegas_6_vegas___pyx_scope_struct_2_random[8];
static int __pyx_freecount_5vegas_6_vegas___pyx_scope_struct_2_random = 0;

static PyObject *__pyx_tp_new_5vegas_6_vegas___pyx_scope_struct_2_random(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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  p->__pyx_v_x.memview = NULL;
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}

static void __pyx_tp_dealloc_5vegas_6_vegas___pyx_scope_struct_2_random(PyObject *o) {
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    __pyx_freelist_5vegas_6_vegas___pyx_scope_struct_2_random[__pyx_freecount_5vegas_6_vegas___pyx_scope_struct_2_random++] = ((struct __pyx_obj_5vegas_6_vegas___pyx_scope_struct_2_random *)o);
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    (*Py_TYPE(o)->tp_free)(o);
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}

static int __pyx_tp_traverse_5vegas_6_vegas___pyx_scope_struct_2_random(PyObject *o, visitproc v, void *a) {
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static PyTypeObject __pyx_type_5vegas_6_vegas___pyx_scope_struct_2_random = {
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  __pyx_tp_dealloc_5vegas_6_vegas___pyx_scope_struct_2_random, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
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  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
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  0, /*tp_alloc*/
  __pyx_tp_new_5vegas_6_vegas___pyx_scope_struct_2_random, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
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  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
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  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
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static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
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  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
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  if (unlikely(!o)) return 0;
  p = ((struct __pyx_array_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_array;
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  p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
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  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_array(PyObject *o) {
  struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
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  #endif
  {
    PyObject *etype, *eval, *etb;
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  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
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  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
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    v = __pyx_array___getattr__(o, n);
  }
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static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
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static struct PyGetSetDef __pyx_getsets_array[] = {
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};

static PySequenceMethods __pyx_tp_as_sequence_array = {
  __pyx_array___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_array, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_array = {
  __pyx_array___len__, /*mp_length*/
  __pyx_array___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
};

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

static PyTypeObject __pyx_type___pyx_array = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas.array", /*tp_name*/
  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_array, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_array, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_array, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_array, /*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_array, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};

static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_MemviewEnum_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_Enum(PyObject *o) {
  PyObject* tmp;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_Enum[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas.Enum", /*tp_name*/
  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  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_MemviewEnum___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_MemviewEnum___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*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
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};
static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;

static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryview_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  p->view.obj = NULL;
  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryview___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  Py_CLEAR(p->_array_interface);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  if (p->obj) {
    e = (*v)(p->obj, a); if (e) return e;
  }
  if (p->_size) {
    e = (*v)(p->_size, a); if (e) return e;
  }
  if (p->_array_interface) {
    e = (*v)(p->_array_interface, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_array_interface);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}
static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas.memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
};
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

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

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryviewslice___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}

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

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

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

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

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

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "vegas._vegas._memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
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 *         fmt = '%%%ds   %%-%ds %%-%ds %%%ds %%%ds\n' % tuple(nchar)
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 *             ans = fmt % ('itn', 'integral', 'wgt average', 'chi2/dof', 'Q')             # <<<<<<<<<<<<<<
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 *             ans = fmt % ('itn', 'integral', 'wgt average', 'chi2/dof', 'Q')
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 *         else:
 *             ans = fmt % ('itn', 'integral', 'average', 'chi2/dof', 'Q')
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 *         for data in linedata:
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 *     def __init__(self, dictionary=None, weighted=True, itn_results=None, sum_neval=0):
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 *             raise ValueError('must specificy dictionary or itn_results')             # <<<<<<<<<<<<<<
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 *         if shape is None and (itn_results is None or len(itn_results) < 1):
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 * 
 *     def __setstate__(self, state):
 *         super(RAvgArray, self).__setstate__(state[:-3])             # <<<<<<<<<<<<<<
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 *         if g.size > 1 and isinstance(g.flat[0], gvar.GVarRef):
 *             return
 *         g = g.reshape((-1,))             # <<<<<<<<<<<<<<
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 *         " pickle current results in ``outfile`` for later use. "
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 *             with open(outfile, 'wb') as ofile:             # <<<<<<<<<<<<<<
 *                 pickle.dump(self.result, ofile)
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 *     def __init__(self, fcn, map, uses_jac, mpi):
 *         if isinstance(fcn, type(BatchIntegrand)) or isinstance(fcn, type(RBatchIntegrand)):
 *             raise ValueError(             # <<<<<<<<<<<<<<
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 *                 _eval = _BatchIntegrand_from_NonBatch(fcn, self.size, self.shape)
 *         elif self.fcntype == 'rbatch':
 *             x0.shape = x0.shape + (1,)             # <<<<<<<<<<<<<<
 *             if jac0 is not None:
 *                 jac0.shape = jac0.shape + (1,)
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  /* "vegas/_vegas.pyx":2680
 *                 fxs = gvar.BufferDict()
 *                 for k in fx:
 *                     fxs[k] = numpy.asarray(fx[k])[..., 0]             # <<<<<<<<<<<<<<
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 *                 self.bdict = fxs
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 *             else:
 *                 fx = numpy.asarray(fx)
 *                 self.shape = fx.shape[1:]             # <<<<<<<<<<<<<<
 *                 self.size = numpy.product(self.shape)
 *                 _eval = _BatchIntegrand_from_Batch(fcn, rbatch=False)
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 *         if self.nproc > 1:
 *             # MPI multiprocessor mode
 *             def _mpi_eval(x, jac, self=self, _eval=_eval):             # <<<<<<<<<<<<<<
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 *         else:
 *             fx = fx.reshape((x.shape[0], -1))
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 * # The _BatchIntegrand_from_XXXX objects are used by VegasIntegrand
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 * cdef inline int import_ufunc() except -1:
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 *         if not self.ndim:
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 *         if not self._shape:
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 *         if flags & PyBUF_ND:
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 *             raise ValueError("Buffer view does not expose strides")             # <<<<<<<<<<<<<<
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 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
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 *     raise TypeError("no default __reduce__ due to non-trivial __cinit__")
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 *     def region(self, numpy.npy_intp d=-1):             # <<<<<<<<<<<<<<
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 *             return (self.grid[d, 0], self.grid[d, self.ninc[d]])
 * 
 *     def extract_grid(self):             # <<<<<<<<<<<<<<
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 */
  __pyx_tuple__165 = PyTuple_Pack(4, __pyx_n_s_self, __pyx_n_s_d, __pyx_n_s_grid, __pyx_n_s_ng); if (unlikely(!__pyx_tuple__165)) __PYX_ERR(0, 157, __pyx_L1_error)
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 *         return grid
 * 
 *     def __reduce__(self):             # <<<<<<<<<<<<<<
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 */
  __pyx_tuple__166 = PyTuple_Pack(1, __pyx_n_s_self); if (unlikely(!__pyx_tuple__166)) __PYX_ERR(0, 166, __pyx_L1_error)
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 *         return (AdaptiveMap, (self.extract_grid(),))
 * 
 *     def settings(self, ngrid=5):             # <<<<<<<<<<<<<<
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  /* "vegas/_vegas.pyx":1462
 *             i_start += neval_hcube
 * 
 *     def _get_mpi_rank(self):             # <<<<<<<<<<<<<<
 *         try:
 *             import mpi4py.MPI
 */
  __pyx_tuple__187 = PyTuple_Pack(2, __pyx_n_s_self, __pyx_n_s_mpi4py); if (unlikely(!__pyx_tuple__187)) __PYX_ERR(0, 1462, __pyx_L1_error)
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  /* "vegas/_vegas.pyx":1471
 *     mpi_rank = property(_get_mpi_rank, doc="MPI rank (>=0)")
 * 
 *     def random_batch(             # <<<<<<<<<<<<<<
 *         Integrator self not None,
 *         bint yield_hcube=False,
 */
  __pyx_tuple__188 = PyTuple_Pack(28, __pyx_n_s_self, __pyx_n_s_yield_hcube, __pyx_n_s_yield_y, __pyx_n_s_fcn, __pyx_n_s_nhcube, __pyx_n_s_dv_y, __pyx_n_s_nhcube_batch, __pyx_n_s_neval_batch, __pyx_n_s_hcube_base, __pyx_n_s_i_start, __pyx_n_s_ihcube, __pyx_n_s_i, __pyx_n_s_d, __pyx_n_s_tmp_hcube, __pyx_n_s_hcube, __pyx_n_s_hcube_array, __pyx_n_s_neval_sigf, __pyx_n_s_avg_neval_hcube, __pyx_n_s_neval_hcube, __pyx_n_s_y0, __pyx_n_s_max_neval_hcube, __pyx_n_s_sigf, __pyx_n_s_yran, __pyx_n_s_y, __pyx_n_s_x, __pyx_n_s_jac, __pyx_n_s_adaptive_strat, __pyx_n_s_answer); if (unlikely(!__pyx_tuple__188)) __PYX_ERR(0, 1471, __pyx_L1_error)
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  /* "vegas/_vegas.pyx":1612
 *     random_vec = random_batch
 * 
 *     def random(             # <<<<<<<<<<<<<<
 *         Integrator self not None, bint yield_hcube=False, bint yield_y=False
 *         ):
 */
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  /* "vegas/_vegas.pyx":1659
 * 
 *     @staticmethod
 *     def synchronize_random():             # <<<<<<<<<<<<<<
 *         try:
 *             import mpi4py.MPI
 */
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  /* "vegas/_vegas.pyx":1937
 *             each direction. Default is 0.
 *     """
 *     def __init__(self, ngrid=0):             # <<<<<<<<<<<<<<
 *         self.ngrid = ngrid
 *         self.clock = time.perf_counter if hasattr(time, 'perf_counter') else time.time
 */
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  /* "vegas/_vegas.pyx":1942
 *         # self.clock = time.time
 * 
 *     def begin(self, itn, integrator):             # <<<<<<<<<<<<<<
 *         self.integrator = integrator
 *         self.itn = itn
 */
  __pyx_tuple__193 = PyTuple_Pack(3, __pyx_n_s_self, __pyx_n_s_itn, __pyx_n_s_integrator); if (unlikely(!__pyx_tuple__193)) __PYX_ERR(0, 1942, __pyx_L1_error)
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  /* "vegas/_vegas.pyx":1950
 *         sys.stdout.flush()
 * 
 *     def end(self, itn_ans, ans):             # <<<<<<<<<<<<<<
 *         print("    itn %2d: %s\n all itn's: %s"%(self.itn+1, itn_ans, ans))
 *         print(
 */
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  /* "vegas/_vegas.pyx":1985
 *     otherwise straight, unweighted averages are used.
 *     """
 *     def __init__(self, weighted=True, itn_results=None, sum_neval=0):             # <<<<<<<<<<<<<<
 *         if weighted:
 *             self._v_s2 = 0.
 */
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  /* "vegas/_vegas.pyx":2009
 *         self.sum_neval = sum_neval
 * 
 *     def extend(self, ravg):             # <<<<<<<<<<<<<<
 *         """ Merge results from :class:`RAvg` object ``ravg`` after results currently in ``self``. """
 *         for r in ravg.itn_results:
 */
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  /* "vegas/_vegas.pyx":2015
 *         self.sum_neval += ravg.sum_neval
 * 
 *     def __reduce_ex__(self, protocol):             # <<<<<<<<<<<<<<
 *         return (
 *             RAvg,
 */
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  /* "vegas/_vegas.pyx":2021
 *             )
 * 
 *     def _remove_gvars(self, gvlist):             # <<<<<<<<<<<<<<
 *         tmp = RAvg(itn_results=self.itn_results)
 *         tmp.itn_results = gvar.remove_gvars(tmp.itn_results, gvlist)
 */
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  /* "vegas/_vegas.pyx":2028
 *         return tmp
 * 
 *     def _distribute_gvars(self, gvlist):             # <<<<<<<<<<<<<<
 *         return RAvg(itn_results = gvar.distribute_gvars(self.itn_results, gvlist))
 * 
 */
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  /* "vegas/_vegas.pyx":2031
 *         return RAvg(itn_results = gvar.distribute_gvars(self.itn_results, gvlist))
 * 
 *     def _chi2(self):             # <<<<<<<<<<<<<<
 *         if len(self.itn_results) <= 1:
 *             return 0.0
 */
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  /* "vegas/_vegas.pyx":2046
 *     chi2 = property(_chi2, None, None, "*chi**2* of weighted average.")
 * 
 *     def _dof(self):             # <<<<<<<<<<<<<<
 *         return len(self.itn_results) - 1
 *     dof = property(
 */
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  /* "vegas/_vegas.pyx":2055
 *         )
 * 
 *     def _nitn(self):             # <<<<<<<<<<<<<<
 *         return len(self.itn_results)
 *     nitn = property(_nitn, None, None, "Number of iterations.")
 */
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  /* "vegas/_vegas.pyx":2059
 *     nitn = property(_nitn, None, None, "Number of iterations.")
 * 
 *     def _Q(self):             # <<<<<<<<<<<<<<
 *         return (
 *             gvar.gammaQ(self.dof / 2., self.chi2 / 2.)
 */
  __pyx_tuple__204 = PyTuple_Pack(1, __pyx_n_s_self); if (unlikely(!__pyx_tuple__204)) __PYX_ERR(0, 2059, __pyx_L1_error)
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  /* "vegas/_vegas.pyx":2072
 *         )
 * 
 *     def _avg_neval(self):             # <<<<<<<<<<<<<<
 *         return self.sum_neval / self.nitn if self.nitn > 0 else 0
 *     avg_neval = property(_avg_neval, None, None, "Average number of integrand evaluations per iteration.")
 */
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  /* "vegas/_vegas.pyx":2076
 *     avg_neval = property(_avg_neval, None, None, "Average number of integrand evaluations per iteration.")
 * 
 *     def converged(self, rtol, atol):             # <<<<<<<<<<<<<<
 *         return self.sdev < atol + rtol * abs(self.mean)
 * 
 */
  __pyx_tuple__206 = PyTuple_Pack(3, __pyx_n_s_self, __pyx_n_s_rtol, __pyx_n_s_atol); if (unlikely(!__pyx_tuple__206)) __PYX_ERR(0, 2076, __pyx_L1_error)
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  /* "vegas/_vegas.pyx":2079
 *         return self.sdev < atol + rtol * abs(self.mean)
 * 
 *     def add(self, g):             # <<<<<<<<<<<<<<
 *         """ Add estimate ``g`` to the running average. """
 *         self.itn_results.append(g)
 */
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  /* "vegas/_vegas.pyx":2105
 *                 ).internaldata)
 * 
 *     def summary(self, extended=False, weighted=None):             # <<<<<<<<<<<<<<
 *         """ Assemble summary of results, iteration-by-iteration, into a string.
 * 
 */
  __pyx_tuple__208 = PyTuple_Pack(18, __pyx_n_s_self, __pyx_n_s_extended, __pyx_n_s_weighted, __pyx_n_s_acc, __pyx_n_s_linedata, __pyx_n_s_i, __pyx_n_s_res, __pyx_n_s_chi2_dof_3, __pyx_n_s_Q_2, __pyx_n_s_itn, __pyx_n_s_integral, __pyx_n_s_wgtavg, __pyx_n_s_chi2dof, __pyx_n_s_nchar, __pyx_n_s_data, __pyx_n_s_d, __pyx_n_s_fmt, __pyx_n_s_ans); if (unlikely(!__pyx_tuple__208)) __PYX_ERR(0, 2105, __pyx_L1_error)
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    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

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

/* Profile */
#if CYTHON_PROFILE
static int __Pyx_TraceSetupAndCall(PyCodeObject** code,
                                   PyFrameObject** frame,
                                   PyThreadState* tstate,
                                   const char *funcname,
                                   const char *srcfile,
                                   int firstlineno) {
    PyObject *type, *value, *traceback;
    int retval;
    if (*frame == NULL || !CYTHON_PROFILE_REUSE_FRAME) {
        if (*code == NULL) {
            *code = __Pyx_createFrameCodeObject(funcname, srcfile, firstlineno);
            if (*code == NULL) return 0;
        }
        *frame = PyFrame_New(
            tstate,                          /*PyThreadState *tstate*/
            *code,                           /*PyCodeObject *code*/
            __pyx_d,                  /*PyObject *globals*/
            0                                /*PyObject *locals*/
        );
        if (*frame == NULL) return 0;
        if (CYTHON_TRACE && (*frame)->f_trace == NULL) {
            Py_INCREF(Py_None);
            (*frame)->f_trace = Py_None;
        }
#if PY_VERSION_HEX < 0x030400B1
    } else {
        (*frame)->f_tstate = tstate;
#endif
    }
    __Pyx_PyFrame_SetLineNumber(*frame, firstlineno);
    retval = 1;
    tstate->tracing++;
    __Pyx_SetTracing(tstate, 0);
    __Pyx_ErrFetchInState(tstate, &type, &value, &traceback);
    #if CYTHON_TRACE
    if (tstate->c_tracefunc)
        retval = tstate->c_tracefunc(tstate->c_traceobj, *frame, PyTrace_CALL, NULL) == 0;
    if (retval && tstate->c_profilefunc)
    #endif
        retval = tstate->c_profilefunc(tstate->c_profileobj, *frame, PyTrace_CALL, NULL) == 0;
    __Pyx_SetTracing(tstate, (tstate->c_profilefunc || (CYTHON_TRACE && tstate->c_tracefunc)));
    tstate->tracing--;
    if (retval) {
        __Pyx_ErrRestoreInState(tstate, type, value, traceback);
        return __Pyx_IsTracing(tstate, 0, 0) && retval;
    } else {
        Py_XDECREF(type);
        Py_XDECREF(value);
        Py_XDECREF(traceback);
        return -1;
    }
}
static PyCodeObject *__Pyx_createFrameCodeObject(const char *funcname, const char *srcfile, int firstlineno) {
    PyCodeObject *py_code = 0;
#if PY_MAJOR_VERSION >= 3
    py_code = PyCode_NewEmpty(srcfile, funcname, firstlineno);
    if (likely(py_code)) {
        py_code->co_flags |= CO_OPTIMIZED | CO_NEWLOCALS;
    }
#else
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    py_funcname = PyString_FromString(funcname);
    if (unlikely(!py_funcname)) goto bad;
    py_srcfile = PyString_FromString(srcfile);
    if (unlikely(!py_srcfile)) goto bad;
    py_code = PyCode_New(
        0,
        0,
        0,
        CO_OPTIMIZED | CO_NEWLOCALS,
        __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,*/
        firstlineno,
        __pyx_empty_bytes      /*PyObject *lnotab*/
    );
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
#endif
    return py_code;
}
#endif

/* PyDictVersioning */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    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);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* 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 | METH_STACKLESS)));
    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)(void*)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
    }
}
#endif

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL
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 = __Pyx_PyFrame_GetLocalsplus(f);
    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, Py_ssize_t 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, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->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

/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

/* 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 (__Pyx_PyFastCFunction_Check(func)) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

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

/* 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

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #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

/* 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(__Pyx_is_valid_index(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(__Pyx_is_valid_index(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(__Pyx_is_valid_index(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(__Pyx_is_valid_index(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));
}

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

/* 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_CyFunction_Check(func)))
#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

/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long 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))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) 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));
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
#if PY_MAJOR_VERSION < 3 || CYTHON_USE_PYLONG_INTERNALS
#define __Pyx_PyInt_FloorDivideObjC_ZeroDivisionError(operand)\
    if (unlikely(zerodivision_check && ((operand) == 0))) {\
        PyErr_SetString(PyExc_ZeroDivisionError, "integer division by zero");\
        return NULL;\
    }
#endif
static PyObject* __Pyx_PyInt_FloorDivideObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            __Pyx_PyInt_FloorDivideObjC_ZeroDivisionError(b)
            if (unlikely(b == -1 && ((unsigned long)a) == 0-(unsigned long)a))
                return PyInt_Type.tp_as_number->nb_floor_divide(op1, op2);
            else {
                long q, r;
                q = a / b;
                r = a - q*b;
                q -= ((r != 0) & ((r ^ b) < 0));
                x = q;
            }
            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_floor_divide(op1, op2);
            }
        }
                __Pyx_PyInt_FloorDivideObjC_ZeroDivisionError(b)
                {
                    long q, r;
                    q = a / b;
                    r = a - q*b;
                    q -= ((r != 0) & ((r ^ b) < 0));
                    x = q;
                }
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                {
                    PY_LONG_LONG q, r;
                    q = lla / llb;
                    r = lla - q*llb;
                    q -= ((r != 0) & ((r ^ llb) < 0));
                    llx = q;
                }
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    return (inplace ? PyNumber_InPlaceFloorDivide : PyNumber_FloorDivide)(op1, op2);
}
#endif

/* PyObjectFormatAndDecref */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
    if (unlikely(!s)) return NULL;
    if (likely(PyUnicode_CheckExact(s))) return s;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyString_CheckExact(s))) {
        PyObject *result = PyUnicode_FromEncodedObject(s, NULL, "strict");
        Py_DECREF(s);
        return result;
    }
    #endif
    return __Pyx_PyObject_FormatAndDecref(s, f);
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
    PyObject *result = PyObject_Format(s, f);
    Py_DECREF(s);
    return result;
}

/* 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

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      CYTHON_UNUSED Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind;
    Py_ssize_t i, char_pos;
    void *result_udata;
#if CYTHON_PEP393_ENABLED
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    result_udata = PyUnicode_DATA(result_uval);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        if (unlikely(!ulength))
            continue;
        if (unlikely(char_pos + ulength < 0))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (!CYTHON_PEP393_ENABLED || ukind == result_ukind) {
            memcpy((char *)result_udata + char_pos * result_ukind, udata, (size_t) (ulength * result_ukind));
        } else {
            #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030300F0 || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    result_ulength++;
    value_count++;
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #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

/* PyObjectSetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

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

/* CIntToDigits */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
#if CYTHON_PEP393_ENABLED
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
#else
    Py_UNICODE *udata;
    uval = PyUnicode_FromUnicode(NULL, ulength);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_AS_UNICODE(uval);
#endif
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp;
                    PyObject *repeat = PyInt_FromSize_t(uoffset - prepend_sign);
                    if (unlikely(!repeat)) goto done_or_error;
                    tmp = PyNumber_Multiply(padding, repeat);
                    Py_DECREF(repeat);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyNumber_Add(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyNumber_Add(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* CIntToPyUnicode */
#ifdef _MSC_VER
    #ifndef _MSC_STDINT_H_
        #if _MSC_VER < 1300
           typedef unsigned short    uint16_t;
        #else
           typedef unsigned __int16  uint16_t;
        #endif
    #endif
#else
   #include <stdint.h>
#endif
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_Py_ssize_t(Py_ssize_t value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(Py_ssize_t)*3+2];
    char *dpos, *end = digits + sizeof(Py_ssize_t)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    Py_ssize_t remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_ssize_t neg_one = (Py_ssize_t) -1, const_zero = (Py_ssize_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (Py_ssize_t) (remaining / (8*8));
            dpos -= 2;
            *(uint16_t*)dpos = ((const uint16_t*)DIGIT_PAIRS_8)[digit_pos];
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (Py_ssize_t) (remaining / (10*10));
            dpos -= 2;
            *(uint16_t*)dpos = ((const uint16_t*)DIGIT_PAIRS_10)[digit_pos];
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (Py_ssize_t) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    if (last_one_off) {
        assert(*dpos == '0');
        dpos++;
    }
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* None */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* 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;
}

/* 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(__Pyx_is_valid_index(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);
}

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->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 CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->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 CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->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;
}

/* 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_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        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
}

/* 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 ((1) && (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, (PyObject *)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;
}

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod1 */
static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
}

/* append */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}

/* 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;
}

/* CythonFunctionShared */
#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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    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, CYTHON_UNUSED void *context) {
    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, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
#if PY_MAJOR_VERSION < 3
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
#endif
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* 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()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif

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

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

/* 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);
}

/* 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 | METH_STACKLESS);
    }
#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)(void*)(PyCFunction)cfunc->func)(self, &arg, 1);
            } else {
                return (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)cfunc->func)(self, &arg, 1, NULL);
            }
        } else if (PY_VERSION_HEX >= 0x030700A0 && flag == (METH_FASTCALL | METH_KEYWORDS)) {
            return (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)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)(void*)(PyCFunction)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;
}

/* PyIntFromDouble */
  #if PY_MAJOR_VERSION < 3
static CYTHON_INLINE PyObject* __Pyx_PyInt_FromDouble(double value) {
    if (value >= (double)LONG_MIN && value <= (double)LONG_MAX) {
        return PyInt_FromLong((long)value);
    }
    return PyLong_FromDouble(value);
}
#endif

/* PyIntBinop */
  #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddCObj(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        const long a = intval;
        long x;
        long b = PyInt_AS_LONG(op2);
            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(op2))) {
        const long a = intval;
        long b, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG lla = intval;
        PY_LONG_LONG llb, llx;
#endif
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            b = likely(size) ? digits[0] : 0;
            if (size == -1) b = -b;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        b = -(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) {
                        llb = -(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) {
                        b = (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) {
                        llb = (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) {
                        b = -(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) {
                        llb = -(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) {
                        b = (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) {
                        llb = (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) {
                        b = -(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) {
                        llb = -(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) {
                        b = (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) {
                        llb = (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(op2)) {
        const long a = intval;
        double b = PyFloat_AS_DOUBLE(op2);
            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

/* PyFloatBinop */
  #if !CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(operand) if (unlikely(zerodivision_check && ((operand) == 0))) {\
    PyErr_SetString(PyExc_ZeroDivisionError, "float division by zero");\
    return NULL;\
}
static PyObject* __Pyx_PyFloat_TrueDivideCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double a = floatval;
    double b, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op2))) {
        b = PyFloat_AS_DOUBLE(op2);
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        b = (double) PyInt_AS_LONG(op2);
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
    } else
    #endif
    if (likely(PyLong_CheckExact(op2))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        switch (size) {
            case  0: __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(0) break;
            case -1: b = -(double) digits[0]; break;
            case  1: b = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    b = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            b = PyLong_AsDouble(op2);
            if (unlikely(b == -1.0 && PyErr_Occurred())) return NULL;
            __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
        }
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* SliceObject */
    static CYTHON_INLINE int __Pyx_PyObject_SetSlice(PyObject* obj, PyObject* value,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_ass_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_ass_slice(obj, cstart, cstop, value);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_ass_subscript))
#endif
    {
        int result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_ass_subscript(obj, py_slice, value);
#else
        result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object does not support slice %.10s",
        Py_TYPE(obj)->tp_name, value ? "assignment" : "deletion");
bad:
    return -1;
}

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

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

/* 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;
}

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

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

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

/* KeywordStringCheck */
      static int __Pyx_CheckKeywordStrings(
    PyObject *kwdict,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
#if CYTHON_COMPILING_IN_PYPY
    if (!kw_allowed && PyDict_Next(kwdict, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    while (PyDict_Next(kwdict, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_Check(key)))
        #endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
    }
    if ((!kw_allowed) && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    return 0;
#endif
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

/* 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;
    }
}

/* PyObjectFormat */
      #if CYTHON_USE_UNICODE_WRITER
static PyObject* __Pyx_PyObject_Format(PyObject* obj, PyObject* format_spec) {
    int ret;
    _PyUnicodeWriter writer;
    if (likely(PyFloat_CheckExact(obj))) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x03040000
        _PyUnicodeWriter_Init(&writer, 0);
#else
        _PyUnicodeWriter_Init(&writer);
#endif
        ret = _PyFloat_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else if (likely(PyLong_CheckExact(obj))) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x03040000
        _PyUnicodeWriter_Init(&writer, 0);
#else
        _PyUnicodeWriter_Init(&writer);
#endif
        ret = _PyLong_FormatAdvancedWriter(
            &writer,
            obj,
            format_spec, 0, PyUnicode_GET_LENGTH(format_spec));
    } else {
        return PyObject_Format(obj, format_spec);
    }
    if (unlikely(ret == -1)) {
        _PyUnicodeWriter_Dealloc(&writer);
        return NULL;
    }
    return _PyUnicodeWriter_Finish(&writer);
}
#endif

/* py_abs */
      #if CYTHON_USE_PYLONG_INTERNALS
static PyObject *__Pyx_PyLong_AbsNeg(PyObject *n) {
    if (likely(Py_SIZE(n) == -1)) {
        return PyLong_FromLong(((PyLongObject*)n)->ob_digit[0]);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    {
        PyObject *copy = _PyLong_Copy((PyLongObject*)n);
        if (likely(copy)) {
            __Pyx_SET_SIZE(copy, -Py_SIZE(copy));
        }
        return copy;
    }
#else
    return PyNumber_Negative(n);
#endif
}
#endif

/* PyIntCompare */
      static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_FALSE;
    }
    #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))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_TRUE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_TRUE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal != 0) 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_NE));
}

/* 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);
}

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

/* 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;
}

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

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

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

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

/* SwapException */
      #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* 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 int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    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++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(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

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

/* 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

/* PyObjectGetAttrStrNoError */
      static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
}

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

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

/* TypeImport */
      #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    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 ((size_t)basicsize < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

/* PatchModuleWithCoroutine */
      static PyObject* __Pyx_Coroutine_patch_module(PyObject* module, const char* py_code) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    int result;
    PyObject *globals, *result_obj;
    globals = PyDict_New();  if (unlikely(!globals)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_coroutine_type",
    #ifdef __Pyx_Coroutine_USED
        (PyObject*)__pyx_CoroutineType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    result = PyDict_SetItemString(globals, "_cython_generator_type",
    #ifdef __Pyx_Generator_USED
        (PyObject*)__pyx_GeneratorType);
    #else
        Py_None);
    #endif
    if (unlikely(result < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "_module", module) < 0)) goto ignore;
    if (unlikely(PyDict_SetItemString(globals, "__builtins__", __pyx_b) < 0)) goto ignore;
    result_obj = PyRun_String(py_code, Py_file_input, globals, globals);
    if (unlikely(!result_obj)) goto ignore;
    Py_DECREF(result_obj);
    Py_DECREF(globals);
    return module;
ignore:
    Py_XDECREF(globals);
    PyErr_WriteUnraisable(module);
    if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, "Cython module failed to patch module with custom type", 1) < 0)) {
        Py_DECREF(module);
        module = NULL;
    }
#else
    py_code++;
#endif
    return module;
}

/* PatchInspect */
      static PyObject* __Pyx_patch_inspect(PyObject* module) {
#if defined(__Pyx_Generator_USED) && (!defined(CYTHON_PATCH_INSPECT) || CYTHON_PATCH_INSPECT)
    static int inspect_patched = 0;
    if (unlikely((!inspect_patched) && module)) {
        module = __Pyx_Coroutine_patch_module(
            module, ""
"old_types = getattr(_module.isgenerator, '_cython_generator_types', None)\n"
"if old_types is None or not isinstance(old_types, set):\n"
"    old_types = set()\n"
"    def cy_wrap(orig_func, type=type, cython_generator_types=old_types):\n"
"        def cy_isgenerator(obj): return type(obj) in cython_generator_types or orig_func(obj)\n"
"        cy_isgenerator._cython_generator_types = cython_generator_types\n"
"        return cy_isgenerator\n"
"    _module.isgenerator = cy_wrap(_module.isgenerator)\n"
"old_types.add(_cython_generator_type)\n"
        );
        inspect_patched = 1;
    }
#else
    if ((0)) return __Pyx_Coroutine_patch_module(module, NULL);
#endif
    return module;
}

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

/* 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_2, 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;
}

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

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

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

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
    if ((0)) {}
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


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

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

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

/* 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;\
    }

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

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

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

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

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

/* MemviewDtypeToObject */
      static CYTHON_INLINE PyObject *__pyx_memview_get_nn_npy_intp(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_Py_intptr_t(*(npy_intp *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn_npy_intp(const char *itemp, PyObject *obj) {
    npy_intp value = __Pyx_PyInt_As_Py_intptr_t(obj);
    if ((value == ((npy_intp)-1)) && PyErr_Occurred())
        return 0;
    *(npy_intp *) itemp = value;
    return 1;
}

/* MemviewDtypeToObject */
      static CYTHON_INLINE PyObject *__pyx_memview_get_double(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(double *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_double(const char *itemp, PyObject *obj) {
    double value = __pyx_PyFloat_AsDouble(obj);
    if ((value == (double)-1) && PyErr_Occurred())
        return 0;
    *(double *) itemp = value;
    return 1;
}

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

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

/* 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 = (float)(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 = (float)(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:
                        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(0.0, -1.0);
                }
            } 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 = (double)(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 = (double)(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:
                        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(0.0, -1.0);
                }
            } 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

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

/* CIntToPy */
      static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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);
    }
}

/* CIntFromPy */
      static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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;
}

/* CIntToPy */
      static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= 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(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

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

/* CIntFromPy */
      static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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;
}

/* CIntToPy */
      static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    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);
    }
}

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

/* CoroutineBase */
      #include <structmember.h>
#include <frameobject.h>
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(CYTHON_UNUSED PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (Py_TYPE(ev) == (PyTypeObject*)PyExc_StopIteration) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(CYTHON_UNUSED __pyx_CoroutineObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(CYTHON_UNUSED PyObject *gen) {
    const char *msg;
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(CYTHON_UNUSED PyObject *gen, PyObject *value, CYTHON_UNUSED int closing) {
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_type) {
        #if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
        #else
        if (exc_state->exc_traceback) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_state->exc_traceback;
            PyFrameObject *f = tb->tb_frame;
            Py_XINCREF(tstate->frame);
            assert(f->f_back == NULL);
            f->f_back = tstate->frame;
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body((PyObject *) self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
    PyObject *exc_tb = exc_state->exc_traceback;
    if (likely(exc_tb)) {
#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_PYSTON
#else
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
#endif
    }
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(CYTHON_UNUSED PyObject* gen, PyObject *retval) {
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
            _PyGen_SetStopIterationValue(result);
        }
        Py_CLEAR(result);
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = Py_TYPE(yf)->tp_iternext(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                PyErr_WriteUnraisable(yf);
            }
            PyErr_Clear();
        } else {
            retval = PyObject_CallFunction(meth, NULL);
            Py_DECREF(meth);
            if (!retval)
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = Py_TYPE(yf)->tp_iternext(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, CYTHON_UNUSED PyObject *arg) {
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStr(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (!PyErr_ExceptionMatches(PyExc_AttributeError)) {
                    gen->is_running = 0;
                    return NULL;
                }
                PyErr_Clear();
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = PyObject_CallObject(meth, args);
            } else {
                ret = PyObject_CallFunctionObjArgs(meth, typ, val, tb, NULL);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (PyObject_CallFinalizerFromDealloc(self))
#else
        Py_TYPE(gen)->tp_del(self);
        if (Py_REFCNT(self) > 0)
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    PyObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    __Pyx_SET_REFCNT(self, 1);
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(Py_REFCNT(self) > 0);
    if (--self->ob_refcnt == 0) {
        return;
    }
    {
        Py_ssize_t refcnt = Py_REFCNT(self);
        _Py_NewReference(self);
        __Pyx_SET_REFCNT(self, refcnt);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(Py_TYPE(self)) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_name;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    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 = self->gi_name;
    Py_INCREF(value);
    self->gi_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *name = self->gi_qualname;
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, CYTHON_UNUSED void *context)
{
    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 = self->gi_qualname;
    Py_INCREF(value);
    self->gi_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, CYTHON_UNUSED void *context)
{
    PyObject *frame = self->gi_frame;
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            __pyx_d,                 /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        if (unlikely(!frame))
            return NULL;
        self->gi_frame = frame;
    }
    Py_INCREF(frame);
    return frame;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}

/* PatchGeneratorABC */
      #ifndef CYTHON_REGISTER_ABCS
#define CYTHON_REGISTER_ABCS 1
#endif
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
static PyObject* __Pyx_patch_abc_module(PyObject *module);
static PyObject* __Pyx_patch_abc_module(PyObject *module) {
    module = __Pyx_Coroutine_patch_module(
        module, ""
"if _cython_generator_type is not None:\n"
"    try: Generator = _module.Generator\n"
"    except AttributeError: pass\n"
"    else: Generator.register(_cython_generator_type)\n"
"if _cython_coroutine_type is not None:\n"
"    try: Coroutine = _module.Coroutine\n"
"    except AttributeError: pass\n"
"    else: Coroutine.register(_cython_coroutine_type)\n"
    );
    return module;
}
#endif
static int __Pyx_patch_abc(void) {
#if defined(__Pyx_Generator_USED) || defined(__Pyx_Coroutine_USED)
    static int abc_patched = 0;
    if (CYTHON_REGISTER_ABCS && !abc_patched) {
        PyObject *module;
        module = PyImport_ImportModule((PY_MAJOR_VERSION >= 3) ? "collections.abc" : "collections");
        if (!module) {
            PyErr_WriteUnraisable(NULL);
            if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning,
                    ((PY_MAJOR_VERSION >= 3) ?
                        "Cython module failed to register with collections.abc module" :
                        "Cython module failed to register with collections module"), 1) < 0)) {
                return -1;
            }
        } else {
            module = __Pyx_patch_abc_module(module);
            abc_patched = 1;
            if (unlikely(!module))
                return -1;
            Py_DECREF(module);
        }
        module = PyImport_ImportModule("backports_abc");
        if (module) {
            module = __Pyx_patch_abc_module(module);
            Py_XDECREF(module);
        }
        if (!module) {
            PyErr_Clear();
        }
    }
#else
    if ((0)) __Pyx_Coroutine_patch_module(NULL, NULL);
#endif
    return 0;
}

/* Generator */
      static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     (char*) PyDoc_STR("Frame of the generator"), 0},
    {0, 0, 0, 0, 0}
};
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_Generator_init(void) {
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* 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;
}

/* 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 CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
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(b);
  }
#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_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
