/* Generated by Cython 3.0a3 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "depends": [],
        "name": "skimage.graph.heap",
        "sources": [
            "/home/emma/code/scikit-image/skimage/graph/heap.pyx"
        ]
    },
    "module_name": "skimage.graph.heap"
}
END: Cython Metadata */

#define PY_SSIZE_T_CLEAN
#if defined(CYTHON_LIMITED_API) && 0
  #ifndef Py_LIMITED_API
    #if CYTHON_LIMITED_API+0 > 0x03030000
      #define Py_LIMITED_API CYTHON_LIMITED_API
    #else
      #define Py_LIMITED_API 0x03030000
    #endif
  #endif
#endif

#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 < 0x02070000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
    #error Cython requires Python 2.7+ or Python 3.3+.
#else
#define CYTHON_ABI "3_0a3"
#define CYTHON_HEX_VERSION 0x030000A3
#define CYTHON_FUTURE_DIVISION 1
#include <stddef.h>
#ifndef offsetof
  #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
#endif
#if !defined(WIN32) && !defined(MS_WINDOWS)
  #ifndef __stdcall
    #define __stdcall
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  #ifndef __fastcall
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#endif
#ifndef DL_IMPORT
  #define DL_IMPORT(t) t
#endif
#ifndef DL_EXPORT
  #define DL_EXPORT(t) t
#endif
#define __PYX_COMMA ,
#ifndef HAVE_LONG_LONG
  #define HAVE_LONG_LONG
#endif
#ifndef PY_LONG_LONG
  #define PY_LONG_LONG LONG_LONG
#endif
#ifndef Py_HUGE_VAL
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#endif
#ifdef PYPY_VERSION
  #define CYTHON_COMPILING_IN_PYPY 1
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #undef CYTHON_USE_TYPE_SLOTS
  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #if PY_VERSION_HEX < 0x03050000
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
  #elif !defined(CYTHON_USE_ASYNC_SLOTS)
    #define CYTHON_USE_ASYNC_SLOTS 1
  #endif
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS (PY_MAJOR_VERSION >= 3)
  #endif
  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
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  #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
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
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  #ifndef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 1
  #endif
  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
  #endif
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #undef CYTHON_PEP487_INIT_SUBCLASS
  #define CYTHON_PEP487_INIT_SUBCLASS 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
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  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 0
  #define CYTHON_COMPILING_IN_LIMITED_API 1
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  #undef CYTHON_USE_PYTYPE_LOOKUP
  #define CYTHON_USE_PYTYPE_LOOKUP 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #define CYTHON_USE_PYLIST_INTERNALS 0
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  #define CYTHON_USE_UNICODE_INTERNALS 0
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  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
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  #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_GIL
  #define CYTHON_FAST_GIL 0
  #undef CYTHON_METH_FASTCALL
  #define CYTHON_METH_FASTCALL 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 1
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  #undef CYTHON_PEP489_MULTI_PHASE_INIT
  #define CYTHON_PEP489_MULTI_PHASE_INIT 0
  #ifndef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 1
  #endif
  #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
  #define CYTHON_COMPILING_IN_LIMITED_API 0
  #ifndef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 1
  #endif
  #ifndef 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
  #endif
  #ifndef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 1
  #endif
  #ifndef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 1
  #endif
  #if PY_VERSION_HEX < 0x030300F0
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
  #elif !defined(CYTHON_USE_UNICODE_WRITER)
    #define CYTHON_USE_UNICODE_WRITER 1
  #endif
  #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_GIL
    #define CYTHON_FAST_GIL (PY_MAJOR_VERSION < 3 || PY_VERSION_HEX >= 0x03060000)
  #endif
  #ifndef CYTHON_METH_FASTCALL
    #define CYTHON_METH_FASTCALL (PY_VERSION_HEX >= 0x030700A1)
  #endif
  #ifndef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 1
  #endif
  #ifndef CYTHON_PEP487_INIT_SUBCLASS
    #define CYTHON_PEP487_INIT_SUBCLASS 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 !defined(CYTHON_VECTORCALL)
#define CYTHON_VECTORCALL  (CYTHON_FAST_PYCCALL && PY_VERSION_HEX >= 0x030800B1)
#endif
#define CYTHON_BACKPORT_VECTORCALL (CYTHON_METH_FASTCALL && PY_VERSION_HEX < 0x030800B1)
#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
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    #define CYTHON_RESTRICT
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#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
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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
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#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)
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#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
#ifdef _MSC_VER
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            typedef unsigned int      uint32_t;
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            typedef unsigned __int8   uint8_t;
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            typedef unsigned __int32  uint32_t;
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    typedef uintptr_t  __pyx_uintptr_t;
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#ifndef CYTHON_FALLTHROUGH
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    #if __has_cpp_attribute(fallthrough)
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    #elif __has_cpp_attribute(clang::fallthrough)
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  #if defined(__clang__ ) && defined(__apple_build_version__)
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      #define CYTHON_FALLTHROUGH
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#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
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#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define Py_OptimizeFlag 0
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#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_DefaultClassType PyClass_Type
  #define __Pyx_PyCode_New(a, p, 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)
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  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if PY_VERSION_HEX >= 0x030800B2
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#elif PY_VERSION_HEX >= 0x030800A4
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
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  #define __Pyx_PyCode_New(a, p, 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
#endif
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
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  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (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
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#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
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  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_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS(n)
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((n) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET)
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  (n)
#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)
#elif CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_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_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #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 CYTHON_COMPILING_IN_LIMITED_API
static inline void *__Pyx_PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#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 > 0x030600B4 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
    PyObject *res = PyObject_GetItem(dict, name);
    if (res == NULL && PyErr_ExceptionMatches(PyExc_KeyError))
        PyErr_Clear();
    return res;
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #if defined(_PyType_Name)
    #define __Pyx_PyType_Name(tp)     (_PyType_Name((PyTypeObject *)tp))
  #else
    #define __Pyx_PyType_Name(tp)     (((PyTypeObject *)tp)->tp_name)
  #endif
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
#else
  #define __Pyx_PyType_Name(tp)       (((PyTypeObject *)tp)->tp_name)
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (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
#if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_TYPE(obj, &PySet_Type)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

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


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

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

#define __PYX_HAVE__skimage__graph__heap
#define __PYX_HAVE_API__skimage__graph__heap
/* Early includes */
#include <string.h>
#include <stdlib.h>
#include "pyport.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_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __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)
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const wchar_t *u)
{
    const wchar_t *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
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);
}
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
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);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#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; }

#if !CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
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/* "skimage/graph/heap.pxd":9
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 * ctypedef Py_ssize_t REFERENCE_T
 * ctypedef REFERENCE_T INDEX_T
 */
typedef double __pyx_t_7skimage_5graph_4heap_VALUE_T;

/* "skimage/graph/heap.pxd":10
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typedef Py_ssize_t __pyx_t_7skimage_5graph_4heap_REFERENCE_T;

/* "skimage/graph/heap.pxd":11
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typedef __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_t_7skimage_5graph_4heap_INDEX_T;

/* "skimage/graph/heap.pxd":12
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 * 
 */
typedef unsigned char __pyx_t_7skimage_5graph_4heap_BOOL_T;

/* "skimage/graph/heap.pxd":13
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 */
typedef unsigned char __pyx_t_7skimage_5graph_4heap_LEVELS_T;
/* #### Code section: complex_type_declarations ### */
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/*--- Type declarations ---*/
struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap;
struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap;

/* "skimage/graph/heap.pxd":15
 * ctypedef unsigned char LEVELS_T
 * 
 * cdef class BinaryHeap:             # <<<<<<<<<<<<<<
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 */
struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap {
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/* "skimage/graph/heap.pxd":30
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struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap {
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/* "skimage/graph/heap.pyx":48
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struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap {
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/* "skimage/graph/heap.pyx":457
 * 
 * 
 * cdef class FastUpdateBinaryHeap(BinaryHeap):             # <<<<<<<<<<<<<<
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 * 
 */

struct __pyx_vtabstruct_7skimage_5graph_4heap_FastUpdateBinaryHeap {
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};
static struct __pyx_vtabstruct_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_vtabptr_7skimage_5graph_4heap_FastUpdateBinaryHeap;
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#endif

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

/* SetupReduce.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce(PyObject* type_obj);
#endif

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);
#if CYTHON_COMPILING_IN_LIMITED_API
static PyTypeObject* __Pyx_FetchCommonTypeFromSpec(PyType_Spec *spec, PyObject *bases);
#endif

/* PyMethodNew.proto */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, CYTHON_UNUSED PyObject *typ) {
    if (!self) {
        Py_INCREF(func);
        return func;
    }
    return PyMethod_New(func, self);
}
#else
    #define __Pyx_PyMethod_New PyMethod_New
#endif

/* PyVectorcallFastCallDict.proto */
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, Py_ssize_t nargs, PyObject *kw);
#endif

/* 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 CYTHON_BACKPORT_VECTORCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#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;
#if !CYTHON_COMPILING_IN_LIMITED_API
static PyTypeObject *__pyx_CyFunctionType = 0;
#endif
#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 *closure,
                                      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);
#if CYTHON_METH_FASTCALL
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames);
#if CYTHON_BACKPORT_VECTORCALL
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func_vectorcall)
#else
#define __Pyx_CyFunction_func_vectorcall(f) (((__pyx_CyFunctionObject*)f)->func.vectorcall)
#endif
#endif

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

/* PyDictVersioning.proto */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#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)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __pyx_dict_cached_value;\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
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);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

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

/* CodeObjectCache.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
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);
#endif

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

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_char(unsigned char value);

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

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

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

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

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

/* InitStrings.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str);
#else
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
#endif

/* #### Code section: module_declarations ### */
static void __pyx_f_7skimage_5graph_4heap_10BinaryHeap__add_or_remove_level(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_v_add_or_remove); /* proto*/
static void __pyx_f_7skimage_5graph_4heap_10BinaryHeap__update(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto*/
static void __pyx_f_7skimage_5graph_4heap_10BinaryHeap__update_one(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i); /* proto*/
static void __pyx_f_7skimage_5graph_4heap_10BinaryHeap__remove(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i1); /* proto*/
static __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_10BinaryHeap_push_fast(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference); /* proto*/
static __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_f_7skimage_5graph_4heap_10BinaryHeap_pop_fast(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto*/
static void __pyx_f_7skimage_5graph_4heap_20FastUpdateBinaryHeap__remove(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i1); /* proto*/
static __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_20FastUpdateBinaryHeap_push_fast(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference); /* proto*/
static __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_20FastUpdateBinaryHeap_push_if_lower_fast(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference); /* proto*/
static __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_f_7skimage_5graph_4heap_20FastUpdateBinaryHeap_value_of_fast(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference); /* proto*/

/* Module declarations from "cython" */
#if !CYTHON_COMPILING_IN_LIMITED_API
#endif

/* Module declarations from "libc.string" */
#if !CYTHON_COMPILING_IN_LIMITED_API
#endif

/* Module declarations from "libc.stdlib" */
#if !CYTHON_COMPILING_IN_LIMITED_API
#endif

/* Module declarations from "skimage.graph.heap" */
#if !CYTHON_COMPILING_IN_LIMITED_API
static PyTypeObject *__pyx_ptype_7skimage_5graph_4heap_BinaryHeap = 0;
static PyTypeObject *__pyx_ptype_7skimage_5graph_4heap_FastUpdateBinaryHeap = 0;
#endif
static __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_7skimage_5graph_4heap_inf;
static CYTHON_INLINE __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_index_min(__pyx_t_7skimage_5graph_4heap_INDEX_T, __pyx_t_7skimage_5graph_4heap_INDEX_T); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "skimage.graph.heap"
extern int __pyx_module_is_main_skimage__graph__heap;
int __pyx_module_is_main_skimage__graph__heap = 0;

/* Implementation of "skimage.graph.heap" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_ValueError;
/* #### Code section: string_decls ### */
static const char __pyx_k_[] = "";
static const char __pyx_k_g[] = "%g, ";
static const char __pyx_k_i[] = "i";
static const char __pyx_k__2[] = "\n";
static const char __pyx_k_i0[] = "i0";
static const char __pyx_k_pop[] = "pop";
static const char __pyx_k_ref[] = "ref";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_push[] = "push";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_reset[] = "reset";
static const char __pyx_k_value[] = "value";
static const char __pyx_k_number[] = "number";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_level_i[] = "level %i: ";
static const char __pyx_k_min_val[] = "min_val";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_value_of[] = "value_of";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_reference[] = "reference";
static const char __pyx_k_BinaryHeap[] = "BinaryHeap";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_references[] = "references";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_max_reference[] = "max_reference";
static const char __pyx_k_push_if_lower[] = "push_if_lower";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_BinaryHeap_pop[] = "BinaryHeap.pop";
static const char __pyx_k_BinaryHeap_push[] = "BinaryHeap.push";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_BinaryHeap_reset[] = "BinaryHeap.reset";
static const char __pyx_k_cross_references[] = "cross_references";
static const char __pyx_k_initial_capacity[] = "initial_capacity";
static const char __pyx_k_BinaryHeap_values[] = "BinaryHeap.values";
static const char __pyx_k_invalid_reference[] = "invalid reference";
static const char __pyx_k_BinaryHeap_min_val[] = "BinaryHeap.min_val";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_skimage_graph_heap[] = "skimage.graph.heap";
static const char __pyx_k_FastUpdateBinaryHeap[] = "FastUpdateBinaryHeap";
static const char __pyx_k_BinaryHeap_references[] = "BinaryHeap.references";
static const char __pyx_k_pop_from_an_empty_heap[] = "pop from an empty heap";
static const char __pyx_k_skimage_graph_heap_pyx[] = "skimage/graph/heap.pyx";
static const char __pyx_k_FastUpdateBinaryHeap_push[] = "FastUpdateBinaryHeap.push";
static const char __pyx_k_BinaryHeap___reduce_cython[] = "BinaryHeap.__reduce_cython__";
static const char __pyx_k_FastUpdateBinaryHeap_reset[] = "FastUpdateBinaryHeap.reset";
static const char __pyx_k_BinaryHeap___setstate_cython[] = "BinaryHeap.__setstate_cython__";
static const char __pyx_k_FastUpdateBinaryHeap_value_of[] = "FastUpdateBinaryHeap.value_of";
static const char __pyx_k_FastUpdateBinaryHeap___setstate[] = "FastUpdateBinaryHeap.__setstate_cython__";
static const char __pyx_k_Cython_implementation_of_a_binar[] = "Cython implementation of a binary min heap.\n\nOriginal author: Almar Klein\nModified by: Zachary Pincus\n\nLicense: BSD\n\nCopyright 2009 Almar Klein\n\nRedistribution and use in source and binary forms, with or without\nmodification, are permitted provided that the following conditions\nare met:\n\n1. Redistributions of source code must retain the above copyright\n   notice, this list of conditions and the following disclaimer.\n2. Redistributions in binary form must reproduce the above copyright\n   notice, this list of conditions and the following disclaimer in the\n   documentation and/or other materials provided with the distribution.\n\nTHIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR\nIMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES\nOF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.\nIN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,\nINCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT\nNOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,\nDATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY\nTHEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT\n(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF\nTHIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.\n";
static const char __pyx_k_FastUpdateBinaryHeap___reduce_cy[] = "FastUpdateBinaryHeap.__reduce_cython__";
static const char __pyx_k_FastUpdateBinaryHeap_cross_refer[] = "FastUpdateBinaryHeap.cross_references";
static const char __pyx_k_FastUpdateBinaryHeap_push_if_low[] = "FastUpdateBinaryHeap.push_if_lower";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_reference_outside_of_range_0_max[] = "reference outside of range [0, max_reference]";
#if !CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__pyx_kp_u_;
static PyObject *__pyx_n_s_BinaryHeap;
static PyObject *__pyx_n_s_BinaryHeap___reduce_cython;
static PyObject *__pyx_n_s_BinaryHeap___setstate_cython;
static PyObject *__pyx_n_s_BinaryHeap_min_val;
static PyObject *__pyx_n_s_BinaryHeap_pop;
static PyObject *__pyx_n_s_BinaryHeap_push;
static PyObject *__pyx_n_s_BinaryHeap_references;
static PyObject *__pyx_n_s_BinaryHeap_reset;
static PyObject *__pyx_n_s_BinaryHeap_values;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap___reduce_cy;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap___setstate;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap_cross_refer;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap_push;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap_push_if_low;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap_reset;
static PyObject *__pyx_n_s_FastUpdateBinaryHeap_value_of;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_u__2;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_cross_references;
static PyObject *__pyx_kp_u_g;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_i0;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_initial_capacity;
static PyObject *__pyx_kp_u_invalid_reference;
static PyObject *__pyx_kp_u_level_i;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_max_reference;
static PyObject *__pyx_n_s_min_val;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_number;
static PyObject *__pyx_n_s_pop;
static PyObject *__pyx_kp_u_pop_from_an_empty_heap;
static PyObject *__pyx_n_s_push;
static PyObject *__pyx_n_s_push_if_lower;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_ref;
static PyObject *__pyx_n_s_reference;
static PyObject *__pyx_kp_u_reference_outside_of_range_0_max;
static PyObject *__pyx_n_s_references;
static PyObject *__pyx_n_s_reset;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_skimage_graph_heap;
static PyObject *__pyx_kp_s_skimage_graph_heap_pyx;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_s_value_of;
static PyObject *__pyx_n_s_values;
#endif
/* #### Code section: decls ### */
static int __pyx_pf_7skimage_5graph_4heap_10BinaryHeap___cinit__(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_initial_capacity, CYTHON_UNUSED PyObject *__pyx_v_args, CYTHON_UNUSED PyObject *__pyx_v_kws); /* proto */
static int __pyx_pf_7skimage_5graph_4heap_10BinaryHeap_2__init__(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, CYTHON_UNUSED __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_initial_capacity); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_4reset(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static void __pyx_pf_7skimage_5graph_4heap_10BinaryHeap_6__dealloc__(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_8__str__(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_10push(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_12min_val(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_14values(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_16references(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_18pop(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_5count___get__(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_6levels___get__(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_10min_levels___get__(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_20__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_10BinaryHeap_22__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap___cinit__(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_initial_capacity, PyObject *__pyx_v_max_reference); /* proto */
static int __pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_2__init__(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_initial_capacity, CYTHON_UNUSED PyObject *__pyx_v_max_reference); /* proto */
static void __pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_4__dealloc__(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_6reset(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_8push(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, double __pyx_v_value, int __pyx_v_reference); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_10push_if_lower(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, double __pyx_v_value, int __pyx_v_reference); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_12value_of(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, int __pyx_v_reference); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_14cross_references(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_13max_reference___get__(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_16__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_7skimage_5graph_4heap_20FastUpdateBinaryHeap_18__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_7skimage_5graph_4heap_BinaryHeap(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_7skimage_5graph_4heap_FastUpdateBinaryHeap(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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#ifdef __cplusplus
namespace {
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static struct PyModuleDef __pyx_moduledef;
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#define __pyx_mstate(o) ((__pyx_mstate *)__Pyx_PyModule_GetState(o))

#define __pyx_mstate_global (__pyx_mstate(PyState_FindModule(&__pyx_moduledef)))

#define __pyx_m (PyState_FindModule(&__pyx_moduledef))
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/* #### Code section: module_state_clear ### */
#if CYTHON_COMPILING_IN_LIMITED_API
static int __pyx_m_clear(PyObject *m) {
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  Py_CLEAR(clear_module_state->__pyx_b);
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/* #### Code section: module_state_traverse ### */
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#endif
/* #### Code section: module_state_defines ### */
#if CYTHON_COMPILING_IN_LIMITED_API
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#define __pyx_lineno __pyx_mstate_global->__pyx_lineno
#define __pyx_clineno __pyx_mstate_global->__pyx_clineno
#define __pyx_filename __pyx_mstate_global->__pyx_filename
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#define __pyx_ptype_7skimage_5graph_4heap_BinaryHeap __pyx_mstate_global->__pyx_ptype_7skimage_5graph_4heap_BinaryHeap
#define __pyx_type_7skimage_5graph_4heap_BinaryHeap __pyx_mstate_global->__pyx_type_7skimage_5graph_4heap_BinaryHeap
#define __pyx_ptype_7skimage_5graph_4heap_FastUpdateBinaryHeap __pyx_mstate_global->__pyx_ptype_7skimage_5graph_4heap_FastUpdateBinaryHeap
#define __pyx_type_7skimage_5graph_4heap_FastUpdateBinaryHeap __pyx_mstate_global->__pyx_type_7skimage_5graph_4heap_FastUpdateBinaryHeap
#define __pyx_kp_u_ __pyx_mstate_global->__pyx_kp_u_
#define __pyx_n_s_BinaryHeap __pyx_mstate_global->__pyx_n_s_BinaryHeap
#define __pyx_n_s_BinaryHeap___reduce_cython __pyx_mstate_global->__pyx_n_s_BinaryHeap___reduce_cython
#define __pyx_n_s_BinaryHeap___setstate_cython __pyx_mstate_global->__pyx_n_s_BinaryHeap___setstate_cython
#define __pyx_n_s_BinaryHeap_min_val __pyx_mstate_global->__pyx_n_s_BinaryHeap_min_val
#define __pyx_n_s_BinaryHeap_pop __pyx_mstate_global->__pyx_n_s_BinaryHeap_pop
#define __pyx_n_s_BinaryHeap_push __pyx_mstate_global->__pyx_n_s_BinaryHeap_push
#define __pyx_n_s_BinaryHeap_references __pyx_mstate_global->__pyx_n_s_BinaryHeap_references
#define __pyx_n_s_BinaryHeap_reset __pyx_mstate_global->__pyx_n_s_BinaryHeap_reset
#define __pyx_n_s_BinaryHeap_values __pyx_mstate_global->__pyx_n_s_BinaryHeap_values
#define __pyx_n_s_FastUpdateBinaryHeap __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap
#define __pyx_n_s_FastUpdateBinaryHeap___reduce_cy __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap___reduce_cy
#define __pyx_n_s_FastUpdateBinaryHeap___setstate __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap___setstate
#define __pyx_n_s_FastUpdateBinaryHeap_cross_refer __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap_cross_refer
#define __pyx_n_s_FastUpdateBinaryHeap_push __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap_push
#define __pyx_n_s_FastUpdateBinaryHeap_push_if_low __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap_push_if_low
#define __pyx_n_s_FastUpdateBinaryHeap_reset __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap_reset
#define __pyx_n_s_FastUpdateBinaryHeap_value_of __pyx_mstate_global->__pyx_n_s_FastUpdateBinaryHeap_value_of
#define __pyx_n_s_IndexError __pyx_mstate_global->__pyx_n_s_IndexError
#define __pyx_n_s_MemoryError __pyx_mstate_global->__pyx_n_s_MemoryError
#define __pyx_n_s_TypeError __pyx_mstate_global->__pyx_n_s_TypeError
#define __pyx_n_s_ValueError __pyx_mstate_global->__pyx_n_s_ValueError
#define __pyx_kp_u__2 __pyx_mstate_global->__pyx_kp_u__2
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_cross_references __pyx_mstate_global->__pyx_n_s_cross_references
#define __pyx_kp_u_g __pyx_mstate_global->__pyx_kp_u_g
#define __pyx_n_s_getstate __pyx_mstate_global->__pyx_n_s_getstate
#define __pyx_n_s_i __pyx_mstate_global->__pyx_n_s_i
#define __pyx_n_s_i0 __pyx_mstate_global->__pyx_n_s_i0
#define __pyx_n_s_init __pyx_mstate_global->__pyx_n_s_init
#define __pyx_n_s_initial_capacity __pyx_mstate_global->__pyx_n_s_initial_capacity
#define __pyx_kp_u_invalid_reference __pyx_mstate_global->__pyx_kp_u_invalid_reference
#define __pyx_kp_u_level_i __pyx_mstate_global->__pyx_kp_u_level_i
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_max_reference __pyx_mstate_global->__pyx_n_s_max_reference
#define __pyx_n_s_min_val __pyx_mstate_global->__pyx_n_s_min_val
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_kp_s_no_default___reduce___due_to_non __pyx_mstate_global->__pyx_kp_s_no_default___reduce___due_to_non
#define __pyx_n_s_number __pyx_mstate_global->__pyx_n_s_number
#define __pyx_n_s_pop __pyx_mstate_global->__pyx_n_s_pop
#define __pyx_kp_u_pop_from_an_empty_heap __pyx_mstate_global->__pyx_kp_u_pop_from_an_empty_heap
#define __pyx_n_s_push __pyx_mstate_global->__pyx_n_s_push
#define __pyx_n_s_push_if_lower __pyx_mstate_global->__pyx_n_s_push_if_lower
#define __pyx_n_s_pyx_state __pyx_mstate_global->__pyx_n_s_pyx_state
#define __pyx_n_s_pyx_vtable __pyx_mstate_global->__pyx_n_s_pyx_vtable
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_reduce __pyx_mstate_global->__pyx_n_s_reduce
#define __pyx_n_s_reduce_cython __pyx_mstate_global->__pyx_n_s_reduce_cython
#define __pyx_n_s_reduce_ex __pyx_mstate_global->__pyx_n_s_reduce_ex
#define __pyx_n_s_ref __pyx_mstate_global->__pyx_n_s_ref
#define __pyx_n_s_reference __pyx_mstate_global->__pyx_n_s_reference
#define __pyx_kp_u_reference_outside_of_range_0_max __pyx_mstate_global->__pyx_kp_u_reference_outside_of_range_0_max
#define __pyx_n_s_references __pyx_mstate_global->__pyx_n_s_references
#define __pyx_n_s_reset __pyx_mstate_global->__pyx_n_s_reset
#define __pyx_n_s_self __pyx_mstate_global->__pyx_n_s_self
#define __pyx_n_s_setstate __pyx_mstate_global->__pyx_n_s_setstate
#define __pyx_n_s_setstate_cython __pyx_mstate_global->__pyx_n_s_setstate_cython
#define __pyx_n_s_skimage_graph_heap __pyx_mstate_global->__pyx_n_s_skimage_graph_heap
#define __pyx_kp_s_skimage_graph_heap_pyx __pyx_mstate_global->__pyx_kp_s_skimage_graph_heap_pyx
#define __pyx_kp_s_stringsource __pyx_mstate_global->__pyx_kp_s_stringsource
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_value __pyx_mstate_global->__pyx_n_s_value
#define __pyx_n_s_value_of __pyx_mstate_global->__pyx_n_s_value_of
#define __pyx_n_s_values __pyx_mstate_global->__pyx_n_s_values
#define __pyx_int_1 __pyx_mstate_global->__pyx_int_1
#define __pyx_int_2 __pyx_mstate_global->__pyx_int_2
#define __pyx_tuple__3 __pyx_mstate_global->__pyx_tuple__3
#define __pyx_tuple__4 __pyx_mstate_global->__pyx_tuple__4
#define __pyx_tuple__5 __pyx_mstate_global->__pyx_tuple__5
#define __pyx_tuple__6 __pyx_mstate_global->__pyx_tuple__6
#define __pyx_tuple__7 __pyx_mstate_global->__pyx_tuple__7
#define __pyx_tuple__8 __pyx_mstate_global->__pyx_tuple__8
#define __pyx_tuple__9 __pyx_mstate_global->__pyx_tuple__9
#define __pyx_tuple__10 __pyx_mstate_global->__pyx_tuple__10
#define __pyx_tuple__12 __pyx_mstate_global->__pyx_tuple__12
#define __pyx_tuple__14 __pyx_mstate_global->__pyx_tuple__14
#define __pyx_tuple__16 __pyx_mstate_global->__pyx_tuple__16
#define __pyx_tuple__18 __pyx_mstate_global->__pyx_tuple__18
#define __pyx_tuple__20 __pyx_mstate_global->__pyx_tuple__20
#define __pyx_tuple__22 __pyx_mstate_global->__pyx_tuple__22
#define __pyx_tuple__24 __pyx_mstate_global->__pyx_tuple__24
#define __pyx_tuple__26 __pyx_mstate_global->__pyx_tuple__26
#define __pyx_tuple__28 __pyx_mstate_global->__pyx_tuple__28
#define __pyx_tuple__30 __pyx_mstate_global->__pyx_tuple__30
#define __pyx_tuple__32 __pyx_mstate_global->__pyx_tuple__32
#define __pyx_tuple__34 __pyx_mstate_global->__pyx_tuple__34
#define __pyx_tuple__36 __pyx_mstate_global->__pyx_tuple__36
#define __pyx_tuple__38 __pyx_mstate_global->__pyx_tuple__38
#define __pyx_codeobj__11 __pyx_mstate_global->__pyx_codeobj__11
#define __pyx_codeobj__13 __pyx_mstate_global->__pyx_codeobj__13
#define __pyx_codeobj__15 __pyx_mstate_global->__pyx_codeobj__15
#define __pyx_codeobj__17 __pyx_mstate_global->__pyx_codeobj__17
#define __pyx_codeobj__19 __pyx_mstate_global->__pyx_codeobj__19
#define __pyx_codeobj__21 __pyx_mstate_global->__pyx_codeobj__21
#define __pyx_codeobj__23 __pyx_mstate_global->__pyx_codeobj__23
#define __pyx_codeobj__25 __pyx_mstate_global->__pyx_codeobj__25
#define __pyx_codeobj__27 __pyx_mstate_global->__pyx_codeobj__27
#define __pyx_codeobj__29 __pyx_mstate_global->__pyx_codeobj__29
#define __pyx_codeobj__31 __pyx_mstate_global->__pyx_codeobj__31
#define __pyx_codeobj__33 __pyx_mstate_global->__pyx_codeobj__33
#define __pyx_codeobj__35 __pyx_mstate_global->__pyx_codeobj__35
#define __pyx_codeobj__37 __pyx_mstate_global->__pyx_codeobj__37
#define __pyx_codeobj__39 __pyx_mstate_global->__pyx_codeobj__39
#endif
/* #### Code section: module_code ### */

/* "skimage/graph/heap.pyx":44
 * 
 * # this is handy
 * cdef inline INDEX_T index_min(INDEX_T a, INDEX_T b) nogil:             # <<<<<<<<<<<<<<
 *     return a if a <= b else b
 * 
 */

static CYTHON_INLINE __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_index_min(__pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_a, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_b) {
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_r;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_t_1;

  /* "skimage/graph/heap.pyx":45
 * # this is handy
 * cdef inline INDEX_T index_min(INDEX_T a, INDEX_T b) nogil:
 *     return a if a <= b else b             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  } else {
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  }
  __pyx_r = __pyx_t_1;
  goto __pyx_L0;

  /* "skimage/graph/heap.pyx":44
 * 
 * # this is handy
 * cdef inline INDEX_T index_min(INDEX_T a, INDEX_T b) nogil:             # <<<<<<<<<<<<<<
 *     return a if a <= b else b
 * 
 */

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

/* "skimage/graph/heap.pyx":130
 *     # 2**l
 * 
 *     def __cinit__(self, INDEX_T initial_capacity=128, *args, **kws):             # <<<<<<<<<<<<<<
 *         # calc levels from the default capacity
 *         cdef LEVELS_T levels = 0
 */

/* Python wrapper */
static int __pyx_pw_7skimage_5graph_4heap_10BinaryHeap_1__cinit__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static int __pyx_pw_7skimage_5graph_4heap_10BinaryHeap_1__cinit__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_initial_capacity;
  CYTHON_UNUSED PyObject *__pyx_v_args = 0;
  CYTHON_UNUSED PyObject *__pyx_v_kws = 0;
  CYTHON_UNUSED const Py_ssize_t __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues = __Pyx_KwValues_VARARGS(__pyx_args, __pyx_nargs);
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  __pyx_v_args = __Pyx_ArgsSlice_VARARGS(__pyx_args, 1, __pyx_nargs);
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    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_initial_capacity,0};
    #else
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_initial_capacity,0};
    #endif
    PyObject* values[1] = {0};
    if (__pyx_kwds) {
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  }

  /* "skimage/graph/heap.pyx":208
 * 
 *         # init arrays
 *         for i in range(number * 2):             # <<<<<<<<<<<<<<
 *             values[i] = inf
 *         for i in range(number):
 */
  __pyx_t_3 = (__pyx_v_number * 2);
  __pyx_t_4 = __pyx_t_3;
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;

    /* "skimage/graph/heap.pyx":209
 *         # init arrays
 *         for i in range(number * 2):
 *             values[i] = inf             # <<<<<<<<<<<<<<
 *         for i in range(number):
 *             references[i] = -1
 */
    (__pyx_v_values[__pyx_v_i]) = __pyx_v_7skimage_5graph_4heap_inf;
  }

  /* "skimage/graph/heap.pyx":210
 *         for i in range(number * 2):
 *             values[i] = inf
 *         for i in range(number):             # <<<<<<<<<<<<<<
 *             references[i] = -1
 * 
 */
  __pyx_t_3 = __pyx_v_number;
  __pyx_t_4 = __pyx_t_3;
  for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
    __pyx_v_i = __pyx_t_5;

    /* "skimage/graph/heap.pyx":211
 *             values[i] = inf
 *         for i in range(number):
 *             references[i] = -1             # <<<<<<<<<<<<<<
 * 
 *         # copy data
 */
    (__pyx_v_references[__pyx_v_i]) = -1L;
  }

  /* "skimage/graph/heap.pyx":214
 * 
 *         # copy data
 *         cdef VALUE_T *old_values = self._values             # <<<<<<<<<<<<<<
 *         cdef REFERENCE_T *old_references = self._references
 *         if self.count:
 */
  __pyx_t_6 = __pyx_v_self->_values;
  __pyx_v_old_values = __pyx_t_6;

  /* "skimage/graph/heap.pyx":215
 *         # copy data
 *         cdef VALUE_T *old_values = self._values
 *         cdef REFERENCE_T *old_references = self._references             # <<<<<<<<<<<<<<
 *         if self.count:
 *             i1 = 2**new_levels - 1  # LevelStart
 */
  __pyx_t_7 = __pyx_v_self->_references;
  __pyx_v_old_references = __pyx_t_7;

  /* "skimage/graph/heap.pyx":216
 *         cdef VALUE_T *old_values = self._values
 *         cdef REFERENCE_T *old_references = self._references
 *         if self.count:             # <<<<<<<<<<<<<<
 *             i1 = 2**new_levels - 1  # LevelStart
 *             i2 = 2**self.levels - 1  # LevelStart
 */
  __pyx_t_1 = (__pyx_v_self->count != 0);
  if (__pyx_t_1) {

    /* "skimage/graph/heap.pyx":217
 *         cdef REFERENCE_T *old_references = self._references
 *         if self.count:
 *             i1 = 2**new_levels - 1  # LevelStart             # <<<<<<<<<<<<<<
 *             i2 = 2**self.levels - 1  # LevelStart
 *             n = index_min(2**new_levels, 2**self.levels)
 */
    __pyx_v_i1 = (__Pyx_pow_long(2, ((long)__pyx_v_new_levels)) - 1);

    /* "skimage/graph/heap.pyx":218
 *         if self.count:
 *             i1 = 2**new_levels - 1  # LevelStart
 *             i2 = 2**self.levels - 1  # LevelStart             # <<<<<<<<<<<<<<
 *             n = index_min(2**new_levels, 2**self.levels)
 *             for i in range(n):
 */
    __pyx_v_i2 = (__Pyx_pow_long(2, ((long)__pyx_v_self->levels)) - 1);

    /* "skimage/graph/heap.pyx":219
 *             i1 = 2**new_levels - 1  # LevelStart
 *             i2 = 2**self.levels - 1  # LevelStart
 *             n = index_min(2**new_levels, 2**self.levels)             # <<<<<<<<<<<<<<
 *             for i in range(n):
 *                 values[i1+i] = old_values[i2+i]
 */
    __pyx_v_n = __pyx_f_7skimage_5graph_4heap_index_min(__Pyx_pow_long(2, ((long)__pyx_v_new_levels)), __Pyx_pow_long(2, ((long)__pyx_v_self->levels)));

    /* "skimage/graph/heap.pyx":220
 *             i2 = 2**self.levels - 1  # LevelStart
 *             n = index_min(2**new_levels, 2**self.levels)
 *             for i in range(n):             # <<<<<<<<<<<<<<
 *                 values[i1+i] = old_values[i2+i]
 *             for i in range(n):
 */
    __pyx_t_3 = __pyx_v_n;
    __pyx_t_4 = __pyx_t_3;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "skimage/graph/heap.pyx":221
 *             n = index_min(2**new_levels, 2**self.levels)
 *             for i in range(n):
 *                 values[i1+i] = old_values[i2+i]             # <<<<<<<<<<<<<<
 *             for i in range(n):
 *                 references[i] = old_references[i]
 */
      (__pyx_v_values[(__pyx_v_i1 + __pyx_v_i)]) = (__pyx_v_old_values[(__pyx_v_i2 + __pyx_v_i)]);
    }

    /* "skimage/graph/heap.pyx":222
 *             for i in range(n):
 *                 values[i1+i] = old_values[i2+i]
 *             for i in range(n):             # <<<<<<<<<<<<<<
 *                 references[i] = old_references[i]
 * 
 */
    __pyx_t_3 = __pyx_v_n;
    __pyx_t_4 = __pyx_t_3;
    for (__pyx_t_5 = 0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=1) {
      __pyx_v_i = __pyx_t_5;

      /* "skimage/graph/heap.pyx":223
 *                 values[i1+i] = old_values[i2+i]
 *             for i in range(n):
 *                 references[i] = old_references[i]             # <<<<<<<<<<<<<<
 * 
 *         # make current
 */
      (__pyx_v_references[__pyx_v_i]) = (__pyx_v_old_references[__pyx_v_i]);
    }

    /* "skimage/graph/heap.pyx":216
 *         cdef VALUE_T *old_values = self._values
 *         cdef REFERENCE_T *old_references = self._references
 *         if self.count:             # <<<<<<<<<<<<<<
 *             i1 = 2**new_levels - 1  # LevelStart
 *             i2 = 2**self.levels - 1  # LevelStart
 */
  }

  /* "skimage/graph/heap.pyx":226
 * 
 *         # make current
 *         free(self._values)             # <<<<<<<<<<<<<<
 *         free(self._references)
 *         self._values = values
 */
  free(__pyx_v_self->_values);

  /* "skimage/graph/heap.pyx":227
 *         # make current
 *         free(self._values)
 *         free(self._references)             # <<<<<<<<<<<<<<
 *         self._values = values
 *         self._references = references
 */
  free(__pyx_v_self->_references);

  /* "skimage/graph/heap.pyx":228
 *         free(self._values)
 *         free(self._references)
 *         self._values = values             # <<<<<<<<<<<<<<
 *         self._references = references
 * 
 */
  __pyx_v_self->_values = __pyx_v_values;

  /* "skimage/graph/heap.pyx":229
 *         free(self._references)
 *         self._values = values
 *         self._references = references             # <<<<<<<<<<<<<<
 * 
 *         # we need a full update
 */
  __pyx_v_self->_references = __pyx_v_references;

  /* "skimage/graph/heap.pyx":232
 * 
 *         # we need a full update
 *         self.levels = new_levels             # <<<<<<<<<<<<<<
 *         self._update()
 * 
 */
  __pyx_v_self->levels = __pyx_v_new_levels;

  /* "skimage/graph/heap.pyx":233
 *         # we need a full update
 *         self.levels = new_levels
 *         self._update()             # <<<<<<<<<<<<<<
 * 
 *     cdef void _update(self) nogil:
 */
  ((struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self->__pyx_vtab)->_update(__pyx_v_self);

  /* "skimage/graph/heap.pyx":188
 *     ## C Maintenance methods
 * 
 *     cdef void _add_or_remove_level(self, LEVELS_T add_or_remove) nogil:             # <<<<<<<<<<<<<<
 *         # init indexing ints
 *         cdef INDEX_T i, i1, i2, n
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_WriteUnraisable("skimage.graph.heap.BinaryHeap._add_or_remove_level", __pyx_clineno, __pyx_lineno, __pyx_filename, 1, 0);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "skimage/graph/heap.pyx":235
 *         self._update()
 * 
 *     cdef void _update(self) nogil:             # <<<<<<<<<<<<<<
 *         """Update the full tree from the bottom up.
 * 
 */

static void __pyx_f_7skimage_5graph_4heap_10BinaryHeap__update(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self) {
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_v_values;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i0;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_ii;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_n;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_v_level;
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_t_1;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_t_2;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_t_3;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_t_4;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_t_5;
  int __pyx_t_6;

  /* "skimage/graph/heap.pyx":242
 *         """
 *         # shorter name for values
 *         cdef VALUE_T *values = self._values             # <<<<<<<<<<<<<<
 * 
 *         # Note that i represents an absolute index here
 */
  __pyx_t_1 = __pyx_v_self->_values;
  __pyx_v_values = __pyx_t_1;

  /* "skimage/graph/heap.pyx":249
 * 
 *         # track tree
 *         for level in range(self.levels, 1, -1):             # <<<<<<<<<<<<<<
 *             i0 = (1 << level) - 1  # 2**level-1 = LevelStart
 *             n = i0 + 1  # 2**level
 */
  for (__pyx_t_2 = __pyx_v_self->levels + 1; __pyx_t_2 > 1 + 1; ) { __pyx_t_2-=1;
    __pyx_v_level = __pyx_t_2;

    /* "skimage/graph/heap.pyx":250
 *         # track tree
 *         for level in range(self.levels, 1, -1):
 *             i0 = (1 << level) - 1  # 2**level-1 = LevelStart             # <<<<<<<<<<<<<<
 *             n = i0 + 1  # 2**level
 *             for i in range(i0, i0+n, 2):
 */
    __pyx_v_i0 = ((1 << __pyx_v_level) - 1);

    /* "skimage/graph/heap.pyx":251
 *         for level in range(self.levels, 1, -1):
 *             i0 = (1 << level) - 1  # 2**level-1 = LevelStart
 *             n = i0 + 1  # 2**level             # <<<<<<<<<<<<<<
 *             for i in range(i0, i0+n, 2):
 *                 ii = (i-1) // 2  # CalcPrevAbs
 */
    __pyx_v_n = (__pyx_v_i0 + 1);

    /* "skimage/graph/heap.pyx":252
 *             i0 = (1 << level) - 1  # 2**level-1 = LevelStart
 *             n = i0 + 1  # 2**level
 *             for i in range(i0, i0+n, 2):             # <<<<<<<<<<<<<<
 *                 ii = (i-1) // 2  # CalcPrevAbs
 *                 if values[i] < values[i+1]:
 */
    __pyx_t_3 = (__pyx_v_i0 + __pyx_v_n);
    __pyx_t_4 = __pyx_t_3;
    for (__pyx_t_5 = __pyx_v_i0; __pyx_t_5 < __pyx_t_4; __pyx_t_5+=2) {
      __pyx_v_i = __pyx_t_5;

      /* "skimage/graph/heap.pyx":253
 *             n = i0 + 1  # 2**level
 *             for i in range(i0, i0+n, 2):
 *                 ii = (i-1) // 2  # CalcPrevAbs             # <<<<<<<<<<<<<<
 *                 if values[i] < values[i+1]:
 *                     values[ii] = values[i]
 */
      __pyx_v_ii = __Pyx_div___pyx_t_7skimage_5graph_4heap_INDEX_T((__pyx_v_i - 1), 2);

      /* "skimage/graph/heap.pyx":254
 *             for i in range(i0, i0+n, 2):
 *                 ii = (i-1) // 2  # CalcPrevAbs
 *                 if values[i] < values[i+1]:             # <<<<<<<<<<<<<<
 *                     values[ii] = values[i]
 *                 else:
 */
      __pyx_t_6 = (((__pyx_v_values[__pyx_v_i]) < (__pyx_v_values[(__pyx_v_i + 1)])) != 0);
      if (__pyx_t_6) {

        /* "skimage/graph/heap.pyx":255
 *                 ii = (i-1) // 2  # CalcPrevAbs
 *                 if values[i] < values[i+1]:
 *                     values[ii] = values[i]             # <<<<<<<<<<<<<<
 *                 else:
 *                     values[ii] = values[i+1]
 */
        (__pyx_v_values[__pyx_v_ii]) = (__pyx_v_values[__pyx_v_i]);

        /* "skimage/graph/heap.pyx":254
 *             for i in range(i0, i0+n, 2):
 *                 ii = (i-1) // 2  # CalcPrevAbs
 *                 if values[i] < values[i+1]:             # <<<<<<<<<<<<<<
 *                     values[ii] = values[i]
 *                 else:
 */
        goto __pyx_L7;
      }

      /* "skimage/graph/heap.pyx":257
 *                     values[ii] = values[i]
 *                 else:
 *                     values[ii] = values[i+1]             # <<<<<<<<<<<<<<
 * 
 *     cdef void _update_one(self, INDEX_T i) nogil:
 */
      /*else*/ {
        (__pyx_v_values[__pyx_v_ii]) = (__pyx_v_values[(__pyx_v_i + 1)]);
      }
      __pyx_L7:;
    }
  }

  /* "skimage/graph/heap.pyx":235
 *         self._update()
 * 
 *     cdef void _update(self) nogil:             # <<<<<<<<<<<<<<
 *         """Update the full tree from the bottom up.
 * 
 */

  /* function exit code */
}

/* "skimage/graph/heap.pyx":259
 *                     values[ii] = values[i+1]
 * 
 *     cdef void _update_one(self, INDEX_T i) nogil:             # <<<<<<<<<<<<<<
 *         """Update the tree for one value."""
 *         # shorter name for values
 */

static void __pyx_f_7skimage_5graph_4heap_10BinaryHeap__update_one(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i) {
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_v_values;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_ii;
  CYTHON_UNUSED __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_v_level;
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_t_1;
  int __pyx_t_2;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_t_3;

  /* "skimage/graph/heap.pyx":262
 *         """Update the tree for one value."""
 *         # shorter name for values
 *         cdef VALUE_T *values = self._values             # <<<<<<<<<<<<<<
 * 
 *         # make index uneven
 */
  __pyx_t_1 = __pyx_v_self->_values;
  __pyx_v_values = __pyx_t_1;

  /* "skimage/graph/heap.pyx":265
 * 
 *         # make index uneven
 *         if i % 2 == 0:             # <<<<<<<<<<<<<<
 *             i -= 1
 * 
 */
  __pyx_t_2 = ((__Pyx_mod___pyx_t_7skimage_5graph_4heap_INDEX_T(__pyx_v_i, 2) == 0) != 0);
  if (__pyx_t_2) {

    /* "skimage/graph/heap.pyx":266
 *         # make index uneven
 *         if i % 2 == 0:
 *             i -= 1             # <<<<<<<<<<<<<<
 * 
 *         # track tree
 */
    __pyx_v_i = (__pyx_v_i - 1);

    /* "skimage/graph/heap.pyx":265
 * 
 *         # make index uneven
 *         if i % 2 == 0:             # <<<<<<<<<<<<<<
 *             i -= 1
 * 
 */
  }

  /* "skimage/graph/heap.pyx":271
 *         cdef INDEX_T ii
 *         cdef LEVELS_T level
 *         for level in range(self.levels, 1, -1):             # <<<<<<<<<<<<<<
 *             ii = (i-1) // 2  # CalcPrevAbs
 * 
 */
  for (__pyx_t_3 = __pyx_v_self->levels + 1; __pyx_t_3 > 1 + 1; ) { __pyx_t_3-=1;
    __pyx_v_level = __pyx_t_3;

    /* "skimage/graph/heap.pyx":272
 *         cdef LEVELS_T level
 *         for level in range(self.levels, 1, -1):
 *             ii = (i-1) // 2  # CalcPrevAbs             # <<<<<<<<<<<<<<
 * 
 *             # test
 */
    __pyx_v_ii = __Pyx_div___pyx_t_7skimage_5graph_4heap_INDEX_T((__pyx_v_i - 1), 2);

    /* "skimage/graph/heap.pyx":275
 * 
 *             # test
 *             if values[i] < values[i+1]:             # <<<<<<<<<<<<<<
 *                 values[ii] = values[i]
 *             else:
 */
    __pyx_t_2 = (((__pyx_v_values[__pyx_v_i]) < (__pyx_v_values[(__pyx_v_i + 1)])) != 0);
    if (__pyx_t_2) {

      /* "skimage/graph/heap.pyx":276
 *             # test
 *             if values[i] < values[i+1]:
 *                 values[ii] = values[i]             # <<<<<<<<<<<<<<
 *             else:
 *                 values[ii] = values[i+1]
 */
      (__pyx_v_values[__pyx_v_ii]) = (__pyx_v_values[__pyx_v_i]);

      /* "skimage/graph/heap.pyx":275
 * 
 *             # test
 *             if values[i] < values[i+1]:             # <<<<<<<<<<<<<<
 *                 values[ii] = values[i]
 *             else:
 */
      goto __pyx_L6;
    }

    /* "skimage/graph/heap.pyx":278
 *                 values[ii] = values[i]
 *             else:
 *                 values[ii] = values[i+1]             # <<<<<<<<<<<<<<
 *             # next
 *             if ii % 2:
 */
    /*else*/ {
      (__pyx_v_values[__pyx_v_ii]) = (__pyx_v_values[(__pyx_v_i + 1)]);
    }
    __pyx_L6:;

    /* "skimage/graph/heap.pyx":280
 *                 values[ii] = values[i+1]
 *             # next
 *             if ii % 2:             # <<<<<<<<<<<<<<
 *                 i = ii
 *             else:
 */
    __pyx_t_2 = (__Pyx_mod___pyx_t_7skimage_5graph_4heap_INDEX_T(__pyx_v_ii, 2) != 0);
    if (__pyx_t_2) {

      /* "skimage/graph/heap.pyx":281
 *             # next
 *             if ii % 2:
 *                 i = ii             # <<<<<<<<<<<<<<
 *             else:
 *                 i = ii - 1
 */
      __pyx_v_i = __pyx_v_ii;

      /* "skimage/graph/heap.pyx":280
 *                 values[ii] = values[i+1]
 *             # next
 *             if ii % 2:             # <<<<<<<<<<<<<<
 *                 i = ii
 *             else:
 */
      goto __pyx_L7;
    }

    /* "skimage/graph/heap.pyx":283
 *                 i = ii
 *             else:
 *                 i = ii - 1             # <<<<<<<<<<<<<<
 * 
 *     cdef void _remove(self, INDEX_T i1) nogil:
 */
    /*else*/ {
      __pyx_v_i = (__pyx_v_ii - 1);
    }
    __pyx_L7:;
  }

  /* "skimage/graph/heap.pyx":259
 *                     values[ii] = values[i+1]
 * 
 *     cdef void _update_one(self, INDEX_T i) nogil:             # <<<<<<<<<<<<<<
 *         """Update the tree for one value."""
 *         # shorter name for values
 */

  /* function exit code */
}

/* "skimage/graph/heap.pyx":285
 *                 i = ii - 1
 * 
 *     cdef void _remove(self, INDEX_T i1) nogil:             # <<<<<<<<<<<<<<
 *         """Remove a value from the heap. By index."""
 *         cdef LEVELS_T levels = self.levels
 */

static void __pyx_f_7skimage_5graph_4heap_10BinaryHeap__remove(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i1) {
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_v_levels;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_count;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i0;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i2;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_r1;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_r2;
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_v_values;
  __pyx_t_7skimage_5graph_4heap_REFERENCE_T *__pyx_v_references;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_t_1;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_t_2;
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_t_3;
  __pyx_t_7skimage_5graph_4heap_REFERENCE_T *__pyx_t_4;
  int __pyx_t_5;
  int __pyx_t_6;

  /* "skimage/graph/heap.pyx":287
 *     cdef void _remove(self, INDEX_T i1) nogil:
 *         """Remove a value from the heap. By index."""
 *         cdef LEVELS_T levels = self.levels             # <<<<<<<<<<<<<<
 *         cdef INDEX_T count = self.count
 *         # get indices
 */
  __pyx_t_1 = __pyx_v_self->levels;
  __pyx_v_levels = __pyx_t_1;

  /* "skimage/graph/heap.pyx":288
 *         """Remove a value from the heap. By index."""
 *         cdef LEVELS_T levels = self.levels
 *         cdef INDEX_T count = self.count             # <<<<<<<<<<<<<<
 *         # get indices
 *         cdef INDEX_T i0 = (1 << levels) - 1  # 2**self.levels - 1 # LevelStart
 */
  __pyx_t_2 = __pyx_v_self->count;
  __pyx_v_count = __pyx_t_2;

  /* "skimage/graph/heap.pyx":290
 *         cdef INDEX_T count = self.count
 *         # get indices
 *         cdef INDEX_T i0 = (1 << levels) - 1  # 2**self.levels - 1 # LevelStart             # <<<<<<<<<<<<<<
 *         cdef INDEX_T i2 = i0 + count - 1
 * 
 */
  __pyx_v_i0 = ((1 << __pyx_v_levels) - 1);

  /* "skimage/graph/heap.pyx":291
 *         # get indices
 *         cdef INDEX_T i0 = (1 << levels) - 1  # 2**self.levels - 1 # LevelStart
 *         cdef INDEX_T i2 = i0 + count - 1             # <<<<<<<<<<<<<<
 * 
 *         # get relative indices
 */
  __pyx_v_i2 = ((__pyx_v_i0 + __pyx_v_count) - 1);

  /* "skimage/graph/heap.pyx":294
 * 
 *         # get relative indices
 *         cdef INDEX_T r1 = i1 - i0             # <<<<<<<<<<<<<<
 *         cdef INDEX_T r2 = count - 1
 * 
 */
  __pyx_v_r1 = (__pyx_v_i1 - __pyx_v_i0);

  /* "skimage/graph/heap.pyx":295
 *         # get relative indices
 *         cdef INDEX_T r1 = i1 - i0
 *         cdef INDEX_T r2 = count - 1             # <<<<<<<<<<<<<<
 * 
 *         cdef VALUE_T *values = self._values
 */
  __pyx_v_r2 = (__pyx_v_count - 1);

  /* "skimage/graph/heap.pyx":297
 *         cdef INDEX_T r2 = count - 1
 * 
 *         cdef VALUE_T *values = self._values             # <<<<<<<<<<<<<<
 *         cdef REFERENCE_T *references = self._references
 * 
 */
  __pyx_t_3 = __pyx_v_self->_values;
  __pyx_v_values = __pyx_t_3;

  /* "skimage/graph/heap.pyx":298
 * 
 *         cdef VALUE_T *values = self._values
 *         cdef REFERENCE_T *references = self._references             # <<<<<<<<<<<<<<
 * 
 *         # swap with last
 */
  __pyx_t_4 = __pyx_v_self->_references;
  __pyx_v_references = __pyx_t_4;

  /* "skimage/graph/heap.pyx":301
 * 
 *         # swap with last
 *         values[i1] = values[i2]             # <<<<<<<<<<<<<<
 *         references[r1] = references[r2]
 * 
 */
  (__pyx_v_values[__pyx_v_i1]) = (__pyx_v_values[__pyx_v_i2]);

  /* "skimage/graph/heap.pyx":302
 *         # swap with last
 *         values[i1] = values[i2]
 *         references[r1] = references[r2]             # <<<<<<<<<<<<<<
 * 
 *         # make last Null
 */
  (__pyx_v_references[__pyx_v_r1]) = (__pyx_v_references[__pyx_v_r2]);

  /* "skimage/graph/heap.pyx":305
 * 
 *         # make last Null
 *         values[i2] = inf             # <<<<<<<<<<<<<<
 * 
 *         # update
 */
  (__pyx_v_values[__pyx_v_i2]) = __pyx_v_7skimage_5graph_4heap_inf;

  /* "skimage/graph/heap.pyx":308
 * 
 *         # update
 *         self.count -= 1             # <<<<<<<<<<<<<<
 *         count -= 1
 *         if (levels > self.min_levels) and (count < (1 << (levels-2))):
 */
  __pyx_v_self->count = (__pyx_v_self->count - 1);

  /* "skimage/graph/heap.pyx":309
 *         # update
 *         self.count -= 1
 *         count -= 1             # <<<<<<<<<<<<<<
 *         if (levels > self.min_levels) and (count < (1 << (levels-2))):
 *             self._add_or_remove_level(-1)
 */
  __pyx_v_count = (__pyx_v_count - 1);

  /* "skimage/graph/heap.pyx":310
 *         self.count -= 1
 *         count -= 1
 *         if (levels > self.min_levels) and (count < (1 << (levels-2))):             # <<<<<<<<<<<<<<
 *             self._add_or_remove_level(-1)
 *         else:
 */
  __pyx_t_6 = ((__pyx_v_levels > __pyx_v_self->min_levels) != 0);
  if (__pyx_t_6) {
  } else {
    __pyx_t_5 = __pyx_t_6;
    goto __pyx_L4_bool_binop_done;
  }
  __pyx_t_6 = ((__pyx_v_count < (1 << (__pyx_v_levels - 2))) != 0);
  __pyx_t_5 = __pyx_t_6;
  __pyx_L4_bool_binop_done:;
  if (__pyx_t_5) {

    /* "skimage/graph/heap.pyx":311
 *         count -= 1
 *         if (levels > self.min_levels) and (count < (1 << (levels-2))):
 *             self._add_or_remove_level(-1)             # <<<<<<<<<<<<<<
 *         else:
 *             self._update_one(i1)
 */
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self->__pyx_vtab)->_add_or_remove_level(__pyx_v_self, -1);

    /* "skimage/graph/heap.pyx":310
 *         self.count -= 1
 *         count -= 1
 *         if (levels > self.min_levels) and (count < (1 << (levels-2))):             # <<<<<<<<<<<<<<
 *             self._add_or_remove_level(-1)
 *         else:
 */
    goto __pyx_L3;
  }

  /* "skimage/graph/heap.pyx":313
 *             self._add_or_remove_level(-1)
 *         else:
 *             self._update_one(i1)             # <<<<<<<<<<<<<<
 *             self._update_one(i2)
 * 
 */
  /*else*/ {
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self->__pyx_vtab)->_update_one(__pyx_v_self, __pyx_v_i1);

    /* "skimage/graph/heap.pyx":314
 *         else:
 *             self._update_one(i1)
 *             self._update_one(i2)             # <<<<<<<<<<<<<<
 * 
 *     ## C Public methods
 */
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self->__pyx_vtab)->_update_one(__pyx_v_self, __pyx_v_i2);
  }
  __pyx_L3:;

  /* "skimage/graph/heap.pyx":285
 *                 i = ii - 1
 * 
 *     cdef void _remove(self, INDEX_T i1) nogil:             # <<<<<<<<<<<<<<
 *         """Remove a value from the heap. By index."""
 *         cdef LEVELS_T levels = self.levels
 */

  /* function exit code */
}

/* "skimage/graph/heap.pyx":318
 *     ## C Public methods
 * 
 *     cdef INDEX_T push_fast(self, VALUE_T value, REFERENCE_T reference) nogil:             # <<<<<<<<<<<<<<
 *         """The c-method for fast pushing.
 * 
 */

static __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_10BinaryHeap_push_fast(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference) {
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_v_levels;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_count;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_r;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_t_1;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_t_2;
  int __pyx_t_3;

  /* "skimage/graph/heap.pyx":325
 *         """
 *         # We need to resize if currently it just fits.
 *         cdef LEVELS_T levels = self.levels             # <<<<<<<<<<<<<<
 *         cdef INDEX_T count = self.count
 *         if count >= (1 << levels):  # 2**self.levels:
 */
  __pyx_t_1 = __pyx_v_self->levels;
  __pyx_v_levels = __pyx_t_1;

  /* "skimage/graph/heap.pyx":326
 *         # We need to resize if currently it just fits.
 *         cdef LEVELS_T levels = self.levels
 *         cdef INDEX_T count = self.count             # <<<<<<<<<<<<<<
 *         if count >= (1 << levels):  # 2**self.levels:
 *             self._add_or_remove_level(1)
 */
  __pyx_t_2 = __pyx_v_self->count;
  __pyx_v_count = __pyx_t_2;

  /* "skimage/graph/heap.pyx":327
 *         cdef LEVELS_T levels = self.levels
 *         cdef INDEX_T count = self.count
 *         if count >= (1 << levels):  # 2**self.levels:             # <<<<<<<<<<<<<<
 *             self._add_or_remove_level(1)
 *             levels += 1
 */
  __pyx_t_3 = ((__pyx_v_count >= (1 << __pyx_v_levels)) != 0);
  if (__pyx_t_3) {

    /* "skimage/graph/heap.pyx":328
 *         cdef INDEX_T count = self.count
 *         if count >= (1 << levels):  # 2**self.levels:
 *             self._add_or_remove_level(1)             # <<<<<<<<<<<<<<
 *             levels += 1
 * 
 */
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self->__pyx_vtab)->_add_or_remove_level(__pyx_v_self, 1);

    /* "skimage/graph/heap.pyx":329
 *         if count >= (1 << levels):  # 2**self.levels:
 *             self._add_or_remove_level(1)
 *             levels += 1             # <<<<<<<<<<<<<<
 * 
 *         # insert new value
 */
    __pyx_v_levels = (__pyx_v_levels + 1);

    /* "skimage/graph/heap.pyx":327
 *         cdef LEVELS_T levels = self.levels
 *         cdef INDEX_T count = self.count
 *         if count >= (1 << levels):  # 2**self.levels:             # <<<<<<<<<<<<<<
 *             self._add_or_remove_level(1)
 *             levels += 1
 */
  }

  /* "skimage/graph/heap.pyx":332
 * 
 *         # insert new value
 *         cdef INDEX_T i = ((1 << levels) - 1) + count  # LevelStart + n             # <<<<<<<<<<<<<<
 *         self._values[i] = value
 *         self._references[count] = reference
 */
  __pyx_v_i = (((1 << __pyx_v_levels) - 1) + __pyx_v_count);

  /* "skimage/graph/heap.pyx":333
 *         # insert new value
 *         cdef INDEX_T i = ((1 << levels) - 1) + count  # LevelStart + n
 *         self._values[i] = value             # <<<<<<<<<<<<<<
 *         self._references[count] = reference
 * 
 */
  (__pyx_v_self->_values[__pyx_v_i]) = __pyx_v_value;

  /* "skimage/graph/heap.pyx":334
 *         cdef INDEX_T i = ((1 << levels) - 1) + count  # LevelStart + n
 *         self._values[i] = value
 *         self._references[count] = reference             # <<<<<<<<<<<<<<
 * 
 *         # update
 */
  (__pyx_v_self->_references[__pyx_v_count]) = __pyx_v_reference;

  /* "skimage/graph/heap.pyx":337
 * 
 *         # update
 *         self.count += 1             # <<<<<<<<<<<<<<
 *         self._update_one(i)
 * 
 */
  __pyx_v_self->count = (__pyx_v_self->count + 1);

  /* "skimage/graph/heap.pyx":338
 *         # update
 *         self.count += 1
 *         self._update_one(i)             # <<<<<<<<<<<<<<
 * 
 *         # return
 */
  ((struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self->__pyx_vtab)->_update_one(__pyx_v_self, __pyx_v_i);

  /* "skimage/graph/heap.pyx":341
 * 
 *         # return
 *         return count             # <<<<<<<<<<<<<<
 * 
 *     cdef VALUE_T pop_fast(self) nogil:
 */
  __pyx_r = __pyx_v_count;
  goto __pyx_L0;

  /* "skimage/graph/heap.pyx":318
 *     ## C Public methods
 * 
 *     cdef INDEX_T push_fast(self, VALUE_T value, REFERENCE_T reference) nogil:             # <<<<<<<<<<<<<<
 *         """The c-method for fast pushing.
 * 
 */

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

/* "skimage/graph/heap.pyx":343
 *         return count
 * 
 *     cdef VALUE_T pop_fast(self) nogil:             # <<<<<<<<<<<<<<
 *         """The c-method for fast popping.
 * 
 */

static __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_f_7skimage_5graph_4heap_10BinaryHeap_pop_fast(struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *__pyx_v_self) {
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_v_values;
  CYTHON_UNUSED __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_v_level;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_v_levels;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_ir;
  __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value;
  __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_r;
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_t_1;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_t_2;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_t_3;
  __pyx_t_7skimage_5graph_4heap_LEVELS_T __pyx_t_4;
  int __pyx_t_5;

  /* "skimage/graph/heap.pyx":350
 *         """
 *         # shorter name for values
 *         cdef VALUE_T *values = self._values             # <<<<<<<<<<<<<<
 * 
 *         # init index. start at 1 because we start in level 1
 */
  __pyx_t_1 = __pyx_v_self->_values;
  __pyx_v_values = __pyx_t_1;

  /* "skimage/graph/heap.pyx":354
 *         # init index. start at 1 because we start in level 1
 *         cdef LEVELS_T level
 *         cdef INDEX_T i = 1             # <<<<<<<<<<<<<<
 *         cdef LEVELS_T levels = self.levels
 *         # search tree (using absolute indices)
 */
  __pyx_v_i = 1;

  /* "skimage/graph/heap.pyx":355
 *         cdef LEVELS_T level
 *         cdef INDEX_T i = 1
 *         cdef LEVELS_T levels = self.levels             # <<<<<<<<<<<<<<
 *         # search tree (using absolute indices)
 *         for level in range(1, levels):
 */
  __pyx_t_2 = __pyx_v_self->levels;
  __pyx_v_levels = __pyx_t_2;

  /* "skimage/graph/heap.pyx":357
 *         cdef LEVELS_T levels = self.levels
 *         # search tree (using absolute indices)
 *         for level in range(1, levels):             # <<<<<<<<<<<<<<
 *             if values[i] <= values[i+1]:
 *                 i = i * 2 + 1  # CalcNextAbs
 */
  __pyx_t_2 = __pyx_v_levels;
  __pyx_t_3 = __pyx_t_2;
  for (__pyx_t_4 = 1; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_level = __pyx_t_4;

    /* "skimage/graph/heap.pyx":358
 *         # search tree (using absolute indices)
 *         for level in range(1, levels):
 *             if values[i] <= values[i+1]:             # <<<<<<<<<<<<<<
 *                 i = i * 2 + 1  # CalcNextAbs
 *             else:
 */
    __pyx_t_5 = (((__pyx_v_values[__pyx_v_i]) <= (__pyx_v_values[(__pyx_v_i + 1)])) != 0);
    if (__pyx_t_5) {

      /* "skimage/graph/heap.pyx":359
 *         for level in range(1, levels):
 *             if values[i] <= values[i+1]:
 *                 i = i * 2 + 1  # CalcNextAbs             # <<<<<<<<<<<<<<
 *             else:
 *                 i = (i+1) * 2 + 1  # CalcNextAbs
 */
      __pyx_v_i = ((__pyx_v_i * 2) + 1);

      /* "skimage/graph/heap.pyx":358
 *         # search tree (using absolute indices)
 *         for level in range(1, levels):
 *             if values[i] <= values[i+1]:             # <<<<<<<<<<<<<<
 *                 i = i * 2 + 1  # CalcNextAbs
 *             else:
 */
      goto __pyx_L5;
    }

    /* "skimage/graph/heap.pyx":361
 *                 i = i * 2 + 1  # CalcNextAbs
 *             else:
 *                 i = (i+1) * 2 + 1  # CalcNextAbs             # <<<<<<<<<<<<<<
 * 
 *         # select best one in last level
 */
    /*else*/ {
      __pyx_v_i = (((__pyx_v_i + 1) * 2) + 1);
    }
    __pyx_L5:;
  }

  /* "skimage/graph/heap.pyx":364
 * 
 *         # select best one in last level
 *         if values[i] <= values[i+1]:             # <<<<<<<<<<<<<<
 *             i = i
 *         else:
 */
  __pyx_t_5 = (((__pyx_v_values[__pyx_v_i]) <= (__pyx_v_values[(__pyx_v_i + 1)])) != 0);
  if (__pyx_t_5) {

    /* "skimage/graph/heap.pyx":365
 *         # select best one in last level
 *         if values[i] <= values[i+1]:
 *             i = i             # <<<<<<<<<<<<<<
 *         else:
 *             i += 1
 */
    goto __pyx_L6;
  }

  /* "skimage/graph/heap.pyx":367
 *             i = i
 *         else:
 *             i += 1             # <<<<<<<<<<<<<<
 * 
 *         # get values
 */
  /*else*/ {
    __pyx_v_i = (__pyx_v_i + 1);
  }
  __pyx_L6:;

  /* "skimage/graph/heap.pyx":370
 * 
 *         # get values
 *         cdef INDEX_T ir = i - ((1 << levels) - 1) # (2**self.levels-1)             # <<<<<<<<<<<<<<
 *                                                   # LevelStart
 *         cdef VALUE_T value = values[i]
 */
  __pyx_v_ir = (__pyx_v_i - ((1 << __pyx_v_levels) - 1));

  /* "skimage/graph/heap.pyx":372
 *         cdef INDEX_T ir = i - ((1 << levels) - 1) # (2**self.levels-1)
 *                                                   # LevelStart
 *         cdef VALUE_T value = values[i]             # <<<<<<<<<<<<<<
 *         self._popped_ref = self._references[ir]
 * 
 */
  __pyx_v_value = (__pyx_v_values[__pyx_v_i]);

  /* "skimage/graph/heap.pyx":373
 *                                                   # LevelStart
 *         cdef VALUE_T value = values[i]
 *         self._popped_ref = self._references[ir]             # <<<<<<<<<<<<<<
 * 
 *         # remove it
 */
  __pyx_v_self->_popped_ref = (__pyx_v_self->_references[__pyx_v_ir]);

  /* "skimage/graph/heap.pyx":376
 * 
 *         # remove it
 *         if self.count:             # <<<<<<<<<<<<<<
 *             self._remove(i)
 * 
 */
  __pyx_t_5 = (__pyx_v_self->count != 0);
  if (__pyx_t_5) {

    /* "skimage/graph/heap.pyx":377
 *         # remove it
 *         if self.count:
 *             self._remove(i)             # <<<<<<<<<<<<<<
 * 
 *         # return
 */
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self->__pyx_vtab)->_remove(__pyx_v_self, __pyx_v_i);

    /* "skimage/graph/heap.pyx":376
 * 
 *         # remove it
 *         if self.count:             # <<<<<<<<<<<<<<
 *             self._remove(i)
 * 
 */
  }

  /* "skimage/graph/heap.pyx":380
 * 
 *         # return
 *         return value             # <<<<<<<<<<<<<<
 * 
 *     ## Python Public methods (that do not need to be VERY fast)
 */
  __pyx_r = __pyx_v_value;
  goto __pyx_L0;

  /* "skimage/graph/heap.pyx":343
 *         return count
 * 
 *     cdef VALUE_T pop_fast(self) nogil:             # <<<<<<<<<<<<<<
 *         """The c-method for fast popping.
 * 
 */

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

/* "skimage/graph/heap.pyx":384
 *     ## Python Public methods (that do not need to be VERY fast)
 * 
 *     def push(self, VALUE_T value, REFERENCE_T reference=-1):             # <<<<<<<<<<<<<<
 *         """push(value, reference=-1)
 * 
 */

/* Python wrapper */
static PyObject *__pyx_pw_7skimage_5graph_4heap_10BinaryHeap_11push(PyObject *__pyx_v_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
); /*proto*/
PyDoc_STRVAR(__pyx_doc_7skimage_5graph_4heap_10BinaryHeap_10push, "push(value, reference=-1)\n\n        Append a value to the heap, with optional reference.\n\n        Parameters\n        ----------\n        value : float\n            Value to push onto the heap\n        reference : int, optional\n            Reference to associate with the given value.\n\n        ");
static PyMethodDef __pyx_mdef_7skimage_5graph_4heap_10BinaryHeap_11push = {"push", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_7skimage_5graph_4heap_10BinaryHeap_11push, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_7skimage_5graph_4heap_10BinaryHeap_10push};
static PyObject *__pyx_pw_7skimage_5graph_4heap_10BinaryHeap_11push(PyObject *__pyx_v_self, 
#if CYTHON_METH_FASTCALL
PyObject *const *__pyx_args, Py_ssize_t __pyx_nargs, PyObject *__pyx_kwds
#else
PyObject *__pyx_args, PyObject *__pyx_kwds
#endif
) {
  __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value;
  __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference;
  #if !CYTHON_METH_FASTCALL
  CYTHON_UNUSED const Py_ssize_t __pyx_nargs = PyTuple_GET_SIZE(__pyx_args);
  #endif
  CYTHON_UNUSED PyObject *const *__pyx_kwvalues = __Pyx_KwValues_FASTCALL(__pyx_args, __pyx_nargs);
  PyObject *__pyx_r = 0;
  __Pyx_RefNannyDeclarations
  __Pyx_RefNannySetupContext("push (wrapper)", 0);
  {
    #if CYTHON_COMPILING_IN_LIMITED_API
    PyObject **__pyx_pyargnames[] = {&__pyx_n_s_value,&__pyx_n_s_reference,0};
    #else
    static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_value,&__pyx_n_s_reference,0};
    #endif
    PyObject* values[2] = {0,0};
    if (__pyx_kwds) {
      Py_ssize_t kw_args;
      switch (__pyx_nargs) {
        case  2: values[1] = __Pyx_Arg_FASTCALL(__pyx_args, 1);
        CYTHON_FALLTHROUGH;
        case  1: values[0] = __Pyx_Arg_FASTCALL(__pyx_args, 0);
        CYTHON_FALLTHROUGH;
        case  0: break;
        default: goto __pyx_L5_argtuple_error;
      }
      kw_args = __Pyx_NumKwargs_FASTCALL(__pyx_kwds);
      switch (__pyx_nargs) {
        case  0:
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 *         # swap with last
 */
  (__pyx_v_crossref[(__pyx_v_references[__pyx_v_r1])]) = -1L;

  /* "skimage/graph/heap.pyx":566
 * 
 *         # swap with last
 *         values[i1] = values[i2]             # <<<<<<<<<<<<<<
 *         references[r1] = references[r2]
 * 
 */
  (__pyx_v_values[__pyx_v_i1]) = (__pyx_v_values[__pyx_v_i2]);

  /* "skimage/graph/heap.pyx":567
 *         # swap with last
 *         values[i1] = values[i2]
 *         references[r1] = references[r2]             # <<<<<<<<<<<<<<
 * 
 *         # make last Null
 */
  (__pyx_v_references[__pyx_v_r1]) = (__pyx_v_references[__pyx_v_r2]);

  /* "skimage/graph/heap.pyx":570
 * 
 *         # make last Null
 *         values[i2] = inf             # <<<<<<<<<<<<<<
 * 
 *         # update
 */
  (__pyx_v_values[__pyx_v_i2]) = __pyx_v_7skimage_5graph_4heap_inf;

  /* "skimage/graph/heap.pyx":573
 * 
 *         # update
 *         self.count -= 1             # <<<<<<<<<<<<<<
 *         count -= 1
 *         if (levels > self.min_levels) & (count < (1 << (levels-2))):
 */
  __pyx_v_self->__pyx_base.count = (__pyx_v_self->__pyx_base.count - 1);

  /* "skimage/graph/heap.pyx":574
 *         # update
 *         self.count -= 1
 *         count -= 1             # <<<<<<<<<<<<<<
 *         if (levels > self.min_levels) & (count < (1 << (levels-2))):
 *             self._add_or_remove_level(-1)
 */
  __pyx_v_count = (__pyx_v_count - 1);

  /* "skimage/graph/heap.pyx":575
 *         self.count -= 1
 *         count -= 1
 *         if (levels > self.min_levels) & (count < (1 << (levels-2))):             # <<<<<<<<<<<<<<
 *             self._add_or_remove_level(-1)
 *         else:
 */
  __pyx_t_6 = (((__pyx_v_levels > __pyx_v_self->__pyx_base.min_levels) & (__pyx_v_count < (1 << (__pyx_v_levels - 2)))) != 0);
  if (__pyx_t_6) {

    /* "skimage/graph/heap.pyx":576
 *         count -= 1
 *         if (levels > self.min_levels) & (count < (1 << (levels-2))):
 *             self._add_or_remove_level(-1)             # <<<<<<<<<<<<<<
 *         else:
 *             self._update_one(i1)
 */
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_FastUpdateBinaryHeap *)__pyx_v_self->__pyx_base.__pyx_vtab)->__pyx_base._add_or_remove_level(((struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self), -1);

    /* "skimage/graph/heap.pyx":575
 *         self.count -= 1
 *         count -= 1
 *         if (levels > self.min_levels) & (count < (1 << (levels-2))):             # <<<<<<<<<<<<<<
 *             self._add_or_remove_level(-1)
 *         else:
 */
    goto __pyx_L3;
  }

  /* "skimage/graph/heap.pyx":578
 *             self._add_or_remove_level(-1)
 *         else:
 *             self._update_one(i1)             # <<<<<<<<<<<<<<
 *             self._update_one(i2)
 * 
 */
  /*else*/ {
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_FastUpdateBinaryHeap *)__pyx_v_self->__pyx_base.__pyx_vtab)->__pyx_base._update_one(((struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self), __pyx_v_i1);

    /* "skimage/graph/heap.pyx":579
 *         else:
 *             self._update_one(i1)
 *             self._update_one(i2)             # <<<<<<<<<<<<<<
 * 
 *     cdef INDEX_T push_fast(self, VALUE_T value, REFERENCE_T reference) nogil:
 */
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_FastUpdateBinaryHeap *)__pyx_v_self->__pyx_base.__pyx_vtab)->__pyx_base._update_one(((struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self), __pyx_v_i2);
  }
  __pyx_L3:;

  /* "skimage/graph/heap.pyx":544
 *             self._crossref[i] = -1
 * 
 *     cdef void _remove(self, INDEX_T i1) nogil:             # <<<<<<<<<<<<<<
 *         """Remove a value from the heap. By index."""
 *         cdef LEVELS_T levels = self.levels
 */

  /* function exit code */
}

/* "skimage/graph/heap.pyx":581
 *             self._update_one(i2)
 * 
 *     cdef INDEX_T push_fast(self, VALUE_T value, REFERENCE_T reference) nogil:             # <<<<<<<<<<<<<<
 *         """The c method for fast pushing.
 * 
 */

static __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_20FastUpdateBinaryHeap_push_fast(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference) {
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_ir;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "skimage/graph/heap.pyx":591
 * 
 *         """
 *         if not (0 <= reference <= self.max_reference):             # <<<<<<<<<<<<<<
 *             return -1
 * 
 */
  __pyx_t_1 = (0 <= __pyx_v_reference);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_reference <= __pyx_v_self->max_reference);
  }
  __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
  if (__pyx_t_2) {

    /* "skimage/graph/heap.pyx":592
 *         """
 *         if not (0 <= reference <= self.max_reference):
 *             return -1             # <<<<<<<<<<<<<<
 * 
 *         # init variable to store the index-in-the-heap
 */
    __pyx_r = -1L;
    goto __pyx_L0;

    /* "skimage/graph/heap.pyx":591
 * 
 *         """
 *         if not (0 <= reference <= self.max_reference):             # <<<<<<<<<<<<<<
 *             return -1
 * 
 */
  }

  /* "skimage/graph/heap.pyx":599
 *         # Reference is the index in the array where MCP is applied to.
 *         # Find the index-in-the-heap using the crossref array.
 *         cdef INDEX_T ir = self._crossref[reference]             # <<<<<<<<<<<<<<
 * 
 *         if ir != -1:
 */
  __pyx_v_ir = (__pyx_v_self->_crossref[__pyx_v_reference]);

  /* "skimage/graph/heap.pyx":601
 *         cdef INDEX_T ir = self._crossref[reference]
 * 
 *         if ir != -1:             # <<<<<<<<<<<<<<
 *             # update
 *             i = (1 << self.levels) - 1 + ir
 */
  __pyx_t_2 = ((__pyx_v_ir != -1L) != 0);
  if (__pyx_t_2) {

    /* "skimage/graph/heap.pyx":603
 *         if ir != -1:
 *             # update
 *             i = (1 << self.levels) - 1 + ir             # <<<<<<<<<<<<<<
 *             self._values[i] = value
 *             self._update_one(i)
 */
    __pyx_v_i = (((1 << __pyx_v_self->__pyx_base.levels) - 1) + __pyx_v_ir);

    /* "skimage/graph/heap.pyx":604
 *             # update
 *             i = (1 << self.levels) - 1 + ir
 *             self._values[i] = value             # <<<<<<<<<<<<<<
 *             self._update_one(i)
 *             return ir
 */
    (__pyx_v_self->__pyx_base._values[__pyx_v_i]) = __pyx_v_value;

    /* "skimage/graph/heap.pyx":605
 *             i = (1 << self.levels) - 1 + ir
 *             self._values[i] = value
 *             self._update_one(i)             # <<<<<<<<<<<<<<
 *             return ir
 * 
 */
    ((struct __pyx_vtabstruct_7skimage_5graph_4heap_FastUpdateBinaryHeap *)__pyx_v_self->__pyx_base.__pyx_vtab)->__pyx_base._update_one(((struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self), __pyx_v_i);

    /* "skimage/graph/heap.pyx":606
 *             self._values[i] = value
 *             self._update_one(i)
 *             return ir             # <<<<<<<<<<<<<<
 * 
 *         # if not updated: append normally and store reference
 */
    __pyx_r = __pyx_v_ir;
    goto __pyx_L0;

    /* "skimage/graph/heap.pyx":601
 *         cdef INDEX_T ir = self._crossref[reference]
 * 
 *         if ir != -1:             # <<<<<<<<<<<<<<
 *             # update
 *             i = (1 << self.levels) - 1 + ir
 */
  }

  /* "skimage/graph/heap.pyx":609
 * 
 *         # if not updated: append normally and store reference
 *         ir = BinaryHeap.push_fast(self, value, reference)             # <<<<<<<<<<<<<<
 *         self._crossref[reference] = ir
 *         return ir
 */
  __pyx_v_ir = __pyx_f_7skimage_5graph_4heap_10BinaryHeap_push_fast(((struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self), __pyx_v_value, __pyx_v_reference);

  /* "skimage/graph/heap.pyx":610
 *         # if not updated: append normally and store reference
 *         ir = BinaryHeap.push_fast(self, value, reference)
 *         self._crossref[reference] = ir             # <<<<<<<<<<<<<<
 *         return ir
 * 
 */
  (__pyx_v_self->_crossref[__pyx_v_reference]) = __pyx_v_ir;

  /* "skimage/graph/heap.pyx":611
 *         ir = BinaryHeap.push_fast(self, value, reference)
 *         self._crossref[reference] = ir
 *         return ir             # <<<<<<<<<<<<<<
 * 
 *     cdef INDEX_T push_if_lower_fast(self, VALUE_T value,
 */
  __pyx_r = __pyx_v_ir;
  goto __pyx_L0;

  /* "skimage/graph/heap.pyx":581
 *             self._update_one(i2)
 * 
 *     cdef INDEX_T push_fast(self, VALUE_T value, REFERENCE_T reference) nogil:             # <<<<<<<<<<<<<<
 *         """The c method for fast pushing.
 * 
 */

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

/* "skimage/graph/heap.pyx":613
 *         return ir
 * 
 *     cdef INDEX_T push_if_lower_fast(self, VALUE_T value,             # <<<<<<<<<<<<<<
 *                                     REFERENCE_T reference) nogil:
 *         """If the reference is already present, will update its value ONLY if
 */

static __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_f_7skimage_5graph_4heap_20FastUpdateBinaryHeap_push_if_lower_fast(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_v_value, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference) {
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_ir;
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_v_values;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  __pyx_t_7skimage_5graph_4heap_VALUE_T *__pyx_t_3;

  /* "skimage/graph/heap.pyx":624
 * 
 *         """
 *         if not (0 <= reference <= self.max_reference):             # <<<<<<<<<<<<<<
 *             return -1
 * 
 */
  __pyx_t_1 = (0 <= __pyx_v_reference);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_reference <= __pyx_v_self->max_reference);
  }
  __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
  if (__pyx_t_2) {

    /* "skimage/graph/heap.pyx":625
 *         """
 *         if not (0 <= reference <= self.max_reference):
 *             return -1             # <<<<<<<<<<<<<<
 * 
 *         # init variable to store the index-in-the-heap
 */
    __pyx_r = -1L;
    goto __pyx_L0;

    /* "skimage/graph/heap.pyx":624
 * 
 *         """
 *         if not (0 <= reference <= self.max_reference):             # <<<<<<<<<<<<<<
 *             return -1
 * 
 */
  }

  /* "skimage/graph/heap.pyx":632
 *         # Reference is the index in the array where MCP is applied to.
 *         # Find the index-in-the-heap using the crossref array.
 *         cdef INDEX_T ir = self._crossref[reference]             # <<<<<<<<<<<<<<
 *         cdef VALUE_T *values = self._values
 *         self._pushed = 1
 */
  __pyx_v_ir = (__pyx_v_self->_crossref[__pyx_v_reference]);

  /* "skimage/graph/heap.pyx":633
 *         # Find the index-in-the-heap using the crossref array.
 *         cdef INDEX_T ir = self._crossref[reference]
 *         cdef VALUE_T *values = self._values             # <<<<<<<<<<<<<<
 *         self._pushed = 1
 *         if ir != -1:
 */
  __pyx_t_3 = __pyx_v_self->__pyx_base._values;
  __pyx_v_values = __pyx_t_3;

  /* "skimage/graph/heap.pyx":634
 *         cdef INDEX_T ir = self._crossref[reference]
 *         cdef VALUE_T *values = self._values
 *         self._pushed = 1             # <<<<<<<<<<<<<<
 *         if ir != -1:
 *             # update
 */
  __pyx_v_self->_pushed = 1;

  /* "skimage/graph/heap.pyx":635
 *         cdef VALUE_T *values = self._values
 *         self._pushed = 1
 *         if ir != -1:             # <<<<<<<<<<<<<<
 *             # update
 *             i = (1 << self.levels) - 1 + ir
 */
  __pyx_t_2 = ((__pyx_v_ir != -1L) != 0);
  if (__pyx_t_2) {

    /* "skimage/graph/heap.pyx":637
 *         if ir != -1:
 *             # update
 *             i = (1 << self.levels) - 1 + ir             # <<<<<<<<<<<<<<
 *             if values[i] > value:
 *                 values[i] = value
 */
    __pyx_v_i = (((1 << __pyx_v_self->__pyx_base.levels) - 1) + __pyx_v_ir);

    /* "skimage/graph/heap.pyx":638
 *             # update
 *             i = (1 << self.levels) - 1 + ir
 *             if values[i] > value:             # <<<<<<<<<<<<<<
 *                 values[i] = value
 *                 self._update_one(i)
 */
    __pyx_t_2 = (((__pyx_v_values[__pyx_v_i]) > __pyx_v_value) != 0);
    if (__pyx_t_2) {

      /* "skimage/graph/heap.pyx":639
 *             i = (1 << self.levels) - 1 + ir
 *             if values[i] > value:
 *                 values[i] = value             # <<<<<<<<<<<<<<
 *                 self._update_one(i)
 *             else:
 */
      (__pyx_v_values[__pyx_v_i]) = __pyx_v_value;

      /* "skimage/graph/heap.pyx":640
 *             if values[i] > value:
 *                 values[i] = value
 *                 self._update_one(i)             # <<<<<<<<<<<<<<
 *             else:
 *                 self._pushed = 0
 */
      ((struct __pyx_vtabstruct_7skimage_5graph_4heap_FastUpdateBinaryHeap *)__pyx_v_self->__pyx_base.__pyx_vtab)->__pyx_base._update_one(((struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self), __pyx_v_i);

      /* "skimage/graph/heap.pyx":638
 *             # update
 *             i = (1 << self.levels) - 1 + ir
 *             if values[i] > value:             # <<<<<<<<<<<<<<
 *                 values[i] = value
 *                 self._update_one(i)
 */
      goto __pyx_L5;
    }

    /* "skimage/graph/heap.pyx":642
 *                 self._update_one(i)
 *             else:
 *                 self._pushed = 0             # <<<<<<<<<<<<<<
 *             return ir
 * 
 */
    /*else*/ {
      __pyx_v_self->_pushed = 0;
    }
    __pyx_L5:;

    /* "skimage/graph/heap.pyx":643
 *             else:
 *                 self._pushed = 0
 *             return ir             # <<<<<<<<<<<<<<
 * 
 *         # if not updated: append normally and store reference
 */
    __pyx_r = __pyx_v_ir;
    goto __pyx_L0;

    /* "skimage/graph/heap.pyx":635
 *         cdef VALUE_T *values = self._values
 *         self._pushed = 1
 *         if ir != -1:             # <<<<<<<<<<<<<<
 *             # update
 *             i = (1 << self.levels) - 1 + ir
 */
  }

  /* "skimage/graph/heap.pyx":646
 * 
 *         # if not updated: append normally and store reference
 *         ir = BinaryHeap.push_fast(self, value, reference)             # <<<<<<<<<<<<<<
 *         self._crossref[reference] = ir
 *         return ir
 */
  __pyx_v_ir = __pyx_f_7skimage_5graph_4heap_10BinaryHeap_push_fast(((struct __pyx_obj_7skimage_5graph_4heap_BinaryHeap *)__pyx_v_self), __pyx_v_value, __pyx_v_reference);

  /* "skimage/graph/heap.pyx":647
 *         # if not updated: append normally and store reference
 *         ir = BinaryHeap.push_fast(self, value, reference)
 *         self._crossref[reference] = ir             # <<<<<<<<<<<<<<
 *         return ir
 * 
 */
  (__pyx_v_self->_crossref[__pyx_v_reference]) = __pyx_v_ir;

  /* "skimage/graph/heap.pyx":648
 *         ir = BinaryHeap.push_fast(self, value, reference)
 *         self._crossref[reference] = ir
 *         return ir             # <<<<<<<<<<<<<<
 * 
 *     cdef VALUE_T value_of_fast(self, REFERENCE_T reference):
 */
  __pyx_r = __pyx_v_ir;
  goto __pyx_L0;

  /* "skimage/graph/heap.pyx":613
 *         return ir
 * 
 *     cdef INDEX_T push_if_lower_fast(self, VALUE_T value,             # <<<<<<<<<<<<<<
 *                                     REFERENCE_T reference) nogil:
 *         """If the reference is already present, will update its value ONLY if
 */

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

/* "skimage/graph/heap.pyx":650
 *         return ir
 * 
 *     cdef VALUE_T value_of_fast(self, REFERENCE_T reference):             # <<<<<<<<<<<<<<
 *         """Return the value corresponding to the given reference.
 * 
 */

static __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_f_7skimage_5graph_4heap_20FastUpdateBinaryHeap_value_of_fast(struct __pyx_obj_7skimage_5graph_4heap_FastUpdateBinaryHeap *__pyx_v_self, __pyx_t_7skimage_5graph_4heap_REFERENCE_T __pyx_v_reference) {
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_i;
  __pyx_t_7skimage_5graph_4heap_INDEX_T __pyx_v_ir;
  __pyx_t_7skimage_5graph_4heap_VALUE_T __pyx_r;
  __Pyx_RefNannyDeclarations
  int __pyx_t_1;
  int __pyx_t_2;
  __Pyx_RefNannySetupContext("value_of_fast", 0);

  /* "skimage/graph/heap.pyx":657
 * 
 *         """
 *         if not (0 <= reference <= self.max_reference):             # <<<<<<<<<<<<<<
 *             self._invalid_ref = 1
 *             return inf
 */
  __pyx_t_1 = (0 <= __pyx_v_reference);
  if (__pyx_t_1) {
    __pyx_t_1 = (__pyx_v_reference <= __pyx_v_self->max_reference);
  }
  __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
  if (__pyx_t_2) {

    /* "skimage/graph/heap.pyx":658
 *         """
 *         if not (0 <= reference <= self.max_reference):
 *             self._invalid_ref = 1             # <<<<<<<<<<<<<<
 *             return inf
 * 
 */
    __pyx_v_self->_invalid_ref = 1;

    /* "skimage/graph/heap.pyx":659
 *         if not (0 <= reference <= self.max_reference):
 *             self._invalid_ref = 1
 *             return inf             # <<<<<<<<<<<<<<
 * 
 *         # init variable to store the index-in-the-heap
 */
    __pyx_r = __pyx_v_7skimage_5graph_4heap_inf;
    goto __pyx_L0;

    /* "skimage/graph/heap.pyx":657
 * 
 *         """
 *         if not (0 <= reference <= self.max_reference):             # <<<<<<<<<<<<<<
 *             self._invalid_ref = 1
 *             return inf
 */
  }

  /* "skimage/graph/heap.pyx":666
 *         # Reference is the index in the array where MCP is applied to.
 *         # Find the index-in-the-heap using the crossref array.
 *         cdef INDEX_T ir = self._crossref[reference]             # <<<<<<<<<<<<<<
 *         self._invalid_ref = 0
 *         if ir == -1:
 */
  __pyx_v_ir = (__pyx_v_self->_crossref[__pyx_v_reference]);

  /* "skimage/graph/heap.pyx":667
 *         # Find the index-in-the-heap using the crossref array.
 *         cdef INDEX_T ir = self._crossref[reference]
 *         self._invalid_ref = 0             # <<<<<<<<<<<<<<
 *         if ir == -1:
 *             self._invalid_ref = 1
 */
  __pyx_v_self->_invalid_ref = 0;

  /* "skimage/graph/heap.pyx":668
 *         cdef INDEX_T ir = self._crossref[reference]
 *         self._invalid_ref = 0
 *         if ir == -1:             # <<<<<<<<<<<<<<
 *             self._invalid_ref = 1
 *             return inf
 */
  __pyx_t_2 = ((__pyx_v_ir == -1L) != 0);
  if (__pyx_t_2) {

    /* "skimage/graph/heap.pyx":669
 *         self._invalid_ref = 0
 *         if ir == -1:
 *             self._invalid_ref = 1             # <<<<<<<<<<<<<<
 *             return inf
 *         i = (1 << self.levels) - 1 + ir
 */
    __pyx_v_self->_invalid_ref = 1;

    /* "skimage/graph/heap.pyx":670
 *         if ir == -1:
 *             self._invalid_ref = 1
 *             return inf             # <<<<<<<<<<<<<<
 *         i = (1 << self.levels) - 1 + ir
 *         return self._values[i]
 */
    __pyx_r = __pyx_v_7skimage_5graph_4heap_inf;
    goto __pyx_L0;

    /* "skimage/graph/heap.pyx":668
 *         cdef INDEX_T ir = self._crossref[reference]
 *         self._invalid_ref = 0
 *         if ir == -1:             # <<<<<<<<<<<<<<
 *             self._invalid_ref = 1
 *             return inf
 */
  }

  /* "skimage/graph/heap.pyx":671
 *             self._invalid_ref = 1
 *             return inf
 *         i = (1 << self.levels) - 1 + ir             # <<<<<<<<<<<<<<
 *         return self._values[i]
 * 
 */
  __pyx_v_i = (((1 << __pyx_v_self->__pyx_base.levels) - 1) + __pyx_v_ir);

  /* "skimage/graph/heap.pyx":672
 *             return inf
 *         i = (1 << self.levels) - 1 + ir
 *         return self._values[i]             # <<<<<<<<<<<<<<
 * 
 *     def push(self, double value, int reference):
 */
  __pyx_r = (__pyx_v_self->__pyx_base._values[__pyx_v_i]);
  goto __pyx_L0;

  /* "skimage/graph/heap.pyx":650
 *         return ir
 * 
 *     cdef VALUE_T value_of_fast(self, REFERENCE_T reference):             # <<<<<<<<<<<<<<
 *         """Return the value corresponding to the given reference.
 * 
 */

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  PyDoc_STR("BinaryHeap(initial_capacity=128)\n\n    A binary heap class that can store values and an integer reference.\n\n    A binary heap is an object to store values in, optimized in such a way\n    that the minimum (or maximum, but a minimum in this implementation)\n    value can be found in O(log2(N)) time. In this implementation, a reference\n    value (a single integer) can also be stored with each value.\n\n    Use the methods push() and pop() to put in or extract values.\n    In C, use the corresponding push_fast() and pop_fast().\n\n    Parameters\n    ----------\n    initial_capacity : int\n        Estimate of the size of the heap, if known in advance. (In any case,\n        the heap will dynamically grow and shrink as required, though never\n        below the `initial_capacity`.)\n\n    Attributes\n    ----------\n    count : int\n        The number of values in the heap\n    levels : int\n        The number of levels in the binary heap (see Notes below). The values\n        are stored in the last level, so 2**levels is the capacity of the\n        heap before another resize is required.\n    min_levels : int\n        The minimum number of levels in the heap (relates to the\n        `initial_capacity` parameter.)\n\n    Notes\n    -----\n    This implementation stores the binary heap in an array twice as long as\n    the number of elements in the heap. The array is structured in levels,\n    starting at level 0 with a single value, doubling the amount of values in\n    each level. The final level contains the actual values, the level before\n    it contains the pairwise minimum values. The level before that contains\n    the pairwise minimum values of that level, etc. Take a look at this\n    illustration:\n\n    level: 0 11 2222 33333333 4444444444444444\n    index: 0 12 3456 78901234 5678901234567890\n                        1          2         3\n\n     The actual values are stored in level 4. The minimum value of position 15\n    and 16 is stored in position 7"". min(17,18)->8, min(7,8)->3, min(3,4)->1.\n    When adding a value, only the path to the top has to be updated, which\n    takesO(log2(N)) time.\n\n     The advantage of this implementation relative to more common\n    implementations that swap values when pushing to the array is that data\n    only needs to be swapped once when an element is removed. This means that\n    keeping an array of references along with the values is very inexpensive.\n    Th disadvantage is that if you pop the minimum value, the tree has to be\n    traced from top to bottom and back. So if you only want values and no\n    references, this implementation will probably be slower. If you need\n    references (and maybe cross references to be kept up to date) this\n    implementation will be faster.\n\n    "), /*tp_doc*/
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static PyObject *__pyx_tp_new_7skimage_5graph_4heap_FastUpdateBinaryHeap(PyTypeObject *t, PyObject *a, PyObject *k) {
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  #else
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  #endif
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  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_7skimage_5graph_4heap_FastUpdateBinaryHeap(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely((PY_VERSION_HEX >= 0x03080000 || 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
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
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    PyErr_Restore(etype, eval, etb);
  }
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}

static PyObject *__pyx_getprop_7skimage_5graph_4heap_20FastUpdateBinaryHeap_max_reference(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_7skimage_5graph_4heap_20FastUpdateBinaryHeap_13max_reference_1__get__(o);
}

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  {"reset", (PyCFunction)__pyx_pw_7skimage_5graph_4heap_20FastUpdateBinaryHeap_7reset, METH_NOARGS, __pyx_doc_7skimage_5graph_4heap_20FastUpdateBinaryHeap_6reset},
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  {"push_if_lower", (PyCFunction)(void*)(__Pyx_PyCFunction_FastCallWithKeywords)__pyx_pw_7skimage_5graph_4heap_20FastUpdateBinaryHeap_11push_if_lower, __Pyx_METH_FASTCALL|METH_KEYWORDS, __pyx_doc_7skimage_5graph_4heap_20FastUpdateBinaryHeap_10push_if_lower},
  {"value_of", (PyCFunction)__pyx_pw_7skimage_5graph_4heap_20FastUpdateBinaryHeap_13value_of, METH_O, __pyx_doc_7skimage_5graph_4heap_20FastUpdateBinaryHeap_12value_of},
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  {"__setstate_cython__", (PyCFunction)__pyx_pw_7skimage_5graph_4heap_20FastUpdateBinaryHeap_19__setstate_cython__, METH_O, 0},
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};
#if CYTHON_COMPILING_IN_LIMITED_API
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  {Py_tp_doc, (void *)PyDoc_STR("FastUpdateBinaryHeap(initial_capacity=128, max_reference=None)\n\n    Binary heap that allows the value of a reference to be updated quickly.\n\n    This heap class keeps cross-references so that the value associated with a\n    given reference can be quickly queried (O(1) time) or updated (O(log2(N))\n    time). This is ideal for pathfinding algorithms that implement some\n    variant of Dijkstra's algorithm.\n\n    Parameters\n    ----------\n    initial_capacity : int\n        Estimate of the size of the heap, if known in advance. (In any case,\n        the heap will dynamically grow and shrink as required, though never\n        below the `initial_capacity`.)\n\n    max_reference : int, optional\n        Largest reference value that might be pushed to the heap. (Pushing a\n        larger value will result in an error.) If no value is provided,\n        `1-initial_capacity` will be used. For the cross-reference index to\n        work, all references must be in the range [0, max_reference];\n        references pushed outside of that range will not be added to the heap.\n        The cross-references are kept as a 1-d array of length\n        `max_reference+1', so memory use of this heap is effectively\n        O(max_reference)\n\n    Attributes\n    ----------\n    count : int\n        The number of values in the heap\n    levels : int\n        The number of levels in the binary heap (see Notes below). The values\n        are stored in the last level, so 2**levels is the capacity of the\n        heap before another resize is required.\n    min_levels : int\n        The minimum number of levels in the heap (relates to the\n        `initial_capacity` parameter.)\n    max_reference : int\n        The provided or calculated maximum allowed reference value.\n\n    Notes\n    -----\n    The cross-references map data[reference]->internalindex, such that the\n    value corresponding to a given reference can be found efficiently. This\n    can be queried with the value_of() ""method.\n\n    A special method, push_if_lower() is provided that will update the heap if\n    the given reference is not in the heap, or if it is and the provided value\n    is lower than the current value in the heap. This is again useful for\n    pathfinding algorithms.\n\n    ")},
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  PyDoc_STR("FastUpdateBinaryHeap(initial_capacity=128, max_reference=None)\n\n    Binary heap that allows the value of a reference to be updated quickly.\n\n    This heap class keeps cross-references so that the value associated with a\n    given reference can be quickly queried (O(1) time) or updated (O(log2(N))\n    time). This is ideal for pathfinding algorithms that implement some\n    variant of Dijkstra's algorithm.\n\n    Parameters\n    ----------\n    initial_capacity : int\n        Estimate of the size of the heap, if known in advance. (In any case,\n        the heap will dynamically grow and shrink as required, though never\n        below the `initial_capacity`.)\n\n    max_reference : int, optional\n        Largest reference value that might be pushed to the heap. (Pushing a\n        larger value will result in an error.) If no value is provided,\n        `1-initial_capacity` will be used. For the cross-reference index to\n        work, all references must be in the range [0, max_reference];\n        references pushed outside of that range will not be added to the heap.\n        The cross-references are kept as a 1-d array of length\n        `max_reference+1', so memory use of this heap is effectively\n        O(max_reference)\n\n    Attributes\n    ----------\n    count : int\n        The number of values in the heap\n    levels : int\n        The number of levels in the binary heap (see Notes below). The values\n        are stored in the last level, so 2**levels is the capacity of the\n        heap before another resize is required.\n    min_levels : int\n        The minimum number of levels in the heap (relates to the\n        `initial_capacity` parameter.)\n    max_reference : int\n        The provided or calculated maximum allowed reference value.\n\n    Notes\n    -----\n    The cross-references map data[reference]->internalindex, such that the\n    value corresponding to a given reference can be found efficiently. This\n    can be queried with the value_of() ""method.\n\n    A special method, push_if_lower() is provided that will update the heap if\n    the given reference is not in the heap, or if it is and the provided value\n    is lower than the current value in the heap. This is again useful for\n    pathfinding algorithms.\n\n    "), /*tp_doc*/
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static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
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    PyTypeObject* tp = Py_TYPE(obj);
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#else
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static CYTHON_INLINE void __Pyx_copy_object_array(PyObject *const *CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
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static CYTHON_INLINE PyObject *
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{
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#if CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API
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#if PY_MAJOR_VERSION < 3
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            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
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        goto return_ne;
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        goto return_ne;
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        int result;
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        Py_XDECREF(owned_ref);
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    Py_XDECREF(owned_ref);
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    return (equals == Py_NE);
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/* RaiseDoubleKeywords */
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        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
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        "%s() got multiple values for keyword argument '%s'", func_name,
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            if (pos >= PyTuple_GET_SIZE(kwds)) break;
            key = PyTuple_GET_ITEM(kwds, pos);
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        if (*name) {
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            continue;
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        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
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            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
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                    values[name-argnames] = value;
                    break;
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                        goto arg_passed_twice;
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        #endif
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                int cmp = (
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
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                    PyUnicode_Compare(**name, key)
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            else {
                PyObject*** argname = argnames;
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                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
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            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
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    }
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arg_passed_twice:
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invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
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    goto bad;
invalid_keyword:
    #if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_TypeError,
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
    PyErr_Format(PyExc_TypeError,
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
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    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
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        num_expected = num_min;
        more_or_less = "at least";
    } 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);
}

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL && !CYTHON_VECTORCALL
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;
}
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 (unlikely(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

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

/* 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

/* PyObjectFastCall */
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result;
    Py_ssize_t i;
    argstuple = PyTuple_New(nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        PyTuple_SET_ITEM(argstuple, i, args[i]);
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
    Py_DECREF(argstuple);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
#ifdef __Pyx_CyFunction_USED
        if (PyCFunction_Check(func) || __Pyx_CyFunction_Check(func))
#else
        if (PyCFunction_Check(func))
#endif
        {
            if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
                return __Pyx_PyObject_CallMethO(func, NULL);
            }
        }
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (PyCFunction_Check(func))
        {
            if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
                return __Pyx_PyObject_CallMethO(func, args[0]);
            }
        }
    }
#endif
    #if PY_VERSION_HEX < 0x030800B1
    #if CYTHON_FAST_PYCCALL
    if (PyCFunction_Check(func)) {
        if (kwargs) {
            return _PyCFunction_FastCallDict(func, args, nargs, kwargs);
        } else {
            return _PyCFunction_FastCallKeywords(func, args, nargs, NULL);
        }
    }
    #if PY_VERSION_HEX >= 0x030700A1
    if (!kwargs && __Pyx_IS_TYPE(func, &PyMethodDescr_Type)) {
        return _PyMethodDescr_FastCallKeywords(func, args, nargs, NULL);
    }
    #endif
    #endif
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs);
    }
    #endif
    #endif
    #if CYTHON_VECTORCALL
    vectorcallfunc f = _PyVectorcall_Function(func);
    if (f) {
        return f(func, args, nargs, kwargs);
    }
    #elif __Pyx_CyFunction_USED && CYTHON_BACKPORT_VECTORCALL
    if (__Pyx_IS_TYPE(func, __pyx_CyFunctionType)) {
        __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
        if (f) return f(func, args, nargs, kwargs);
    }
    #endif
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
    }
    return __Pyx_PyObject_FastCall_fallback(func, args, nargs, kwargs);
}

/* 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 (unlikely(size == 0)) {
            return PyLong_FromLong(-intval);
        }
        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;
#if CYTHON_COMPILING_IN_LIMITED_API
        double a = __pyx_PyFloat_AsDouble(op1);
#else
        double a = PyFloat_AS_DOUBLE(op1);
#endif
            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

/* PyNumberPow2 */
static PyObject* __Pyx__PyNumber_PowerOf2(PyObject *two, PyObject *exp, PyObject *none, int inplace) {
#if !CYTHON_COMPILING_IN_PYPY
    Py_ssize_t shiftby;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(exp))) {
        shiftby = PyInt_AS_LONG(exp);
    } else
#endif
    if (likely(PyLong_CheckExact(exp))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const Py_ssize_t size = Py_SIZE(exp);
        if (likely(size == 1)) {
            shiftby = ((PyLongObject*)exp)->ob_digit[0];
        } else if (size == 0) {
            return PyInt_FromLong(1L);
        } else if (unlikely(size < 0)) {
            goto fallback;
        } else {
            shiftby = PyLong_AsSsize_t(exp);
        }
        #else
        shiftby = PyLong_AsSsize_t(exp);
        #endif
    } else {
        goto fallback;
    }
    if (likely(shiftby >= 0)) {
        if ((size_t)shiftby <= sizeof(long) * 8 - 2) {
            long value = 1L << shiftby;
            return PyInt_FromLong(value);
#ifdef HAVE_LONG_LONG
        } else if ((size_t)shiftby <= sizeof(unsigned PY_LONG_LONG) * 8 - 1) {
            unsigned PY_LONG_LONG value = ((unsigned PY_LONG_LONG)1) << shiftby;
            return PyLong_FromUnsignedLongLong(value);
#endif
        } else {
            PyObject *result, *one = PyInt_FromLong(1L);
            if (unlikely(!one)) return NULL;
            result = PyNumber_Lshift(one, exp);
            Py_DECREF(one);
            return result;
        }
    } else if (shiftby == -1 && PyErr_Occurred()) {
        PyErr_Clear();
    }
fallback:
#endif
    return (inplace ? PyNumber_InPlacePower : PyNumber_Power)(two, exp, none);
}

/* UnicodeConcatInPlace */
# if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
static int
__Pyx_unicode_modifiable(PyObject *unicode)
{
    if (Py_REFCNT(unicode) != 1)
        return 0;
    if (!PyUnicode_CheckExact(unicode))
        return 0;
    if (PyUnicode_CHECK_INTERNED(unicode))
        return 0;
    return 1;
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_ConcatInPlaceImpl(PyObject **p_left, PyObject *right
        #if CYTHON_REFNANNY
        , void* __pyx_refnanny
        #endif
    ) {
    PyObject *left = *p_left;
    Py_ssize_t left_len, right_len, new_len;
    if (unlikely(PyUnicode_READY(left) == -1))
        return NULL;
    if (unlikely(PyUnicode_READY(right) == -1))
        return NULL;
    left_len = PyUnicode_GET_LENGTH(left);
    if (left_len == 0) {
        Py_INCREF(right);
        return right;
    }
    right_len = PyUnicode_GET_LENGTH(right);
    if (right_len == 0) {
        Py_INCREF(left);
        return left;
    }
    if (unlikely(left_len > PY_SSIZE_T_MAX - right_len)) {
        PyErr_SetString(PyExc_OverflowError,
                        "strings are too large to concat");
        return NULL;
    }
    new_len = left_len + right_len;
    if (__Pyx_unicode_modifiable(left)
            && PyUnicode_CheckExact(right)
            && PyUnicode_KIND(right) <= PyUnicode_KIND(left)
            && !(PyUnicode_IS_ASCII(left) && !PyUnicode_IS_ASCII(right))) {
        __Pyx_GIVEREF(*p_left);
        if (unlikely(PyUnicode_Resize(p_left, new_len) != 0)) {
            __Pyx_GOTREF(*p_left);
            return NULL;
        }
        __Pyx_INCREF(*p_left);
        _PyUnicode_FastCopyCharacters(*p_left, left_len, right, 0, right_len);
        return *p_left;
    } else {
        return __Pyx_PyUnicode_Concat(left, right);
    }
  }
#endif

/* PyUnicode_Substring */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_Substring(
            PyObject* text, Py_ssize_t start, Py_ssize_t stop) {
    Py_ssize_t length;
    if (unlikely(__Pyx_PyUnicode_READY(text) == -1)) return NULL;
    length = __Pyx_PyUnicode_GET_LENGTH(text);
    if (start < 0) {
        start += length;
        if (start < 0)
            start = 0;
    }
    if (stop < 0)
        stop += length;
    else if (stop > length)
        stop = length;
    if (stop <= start)
        return __Pyx_NewRef(__pyx_empty_unicode);
    if (start == 0 && stop == length)
        return __Pyx_NewRef(text);
#if CYTHON_PEP393_ENABLED
    return PyUnicode_FromKindAndData(PyUnicode_KIND(text),
        PyUnicode_1BYTE_DATA(text) + start*PyUnicode_KIND(text), stop-start);
#else
    return PyUnicode_FromUnicode(PyUnicode_AS_UNICODE(text)+start, stop-start);
#endif
}

/* 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 __pyx_t_7skimage_5graph_4heap_INDEX_T __Pyx_div___pyx_t_7skimage_5graph_4heap_INDEX_T(__pyx_t_7skimage_5graph_4heap_INDEX_T a, __pyx_t_7skimage_5graph_4heap_INDEX_T b) {
    __pyx_t_7skimage_5graph_4heap_INDEX_T q = a / b;
    __pyx_t_7skimage_5graph_4heap_INDEX_T r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* None */
static CYTHON_INLINE __pyx_t_7skimage_5graph_4heap_INDEX_T __Pyx_mod___pyx_t_7skimage_5graph_4heap_INDEX_T(__pyx_t_7skimage_5graph_4heap_INDEX_T a, __pyx_t_7skimage_5graph_4heap_INDEX_T b) {
    __pyx_t_7skimage_5graph_4heap_INDEX_T r = a % b;
    r += ((r != 0) & ((r ^ b) < 0)) * b;
    return r;
}

/* 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 ||  CYTHON_COMPILING_IN_LIMITED_API
        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

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

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

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

/* SetupReduce */
  #if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, __pyx_n_s_name);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __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_GetAttrStrNoError(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", __Pyx_PyType_Name(type_obj));
    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;
}
#endif

/* FetchCommonType */
  static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    PyObject *abi_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!abi_module) return NULL;
    Py_INCREF(abi_module);
    return abi_module;
}
static int __Pyx_VerifyCachedType(PyObject *cached_type,
                               const char *name,
                               Py_ssize_t basicsize,
                               Py_ssize_t expected_basicsize) {
    if (!PyType_Check(cached_type)) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s is not a type object", name);
        return -1;
    }
    if (basicsize != expected_basicsize) {
        PyErr_Format(PyExc_TypeError,
            "Shared Cython type %.200s has the wrong size, try recompiling",
            name);
        return -1;
    }
    return 0;
}
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* abi_module;
    PyTypeObject *cached_type = NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    cached_type = (PyTypeObject*) PyObject_GetAttrString(abi_module, type->tp_name);
    if (cached_type) {
        if (__Pyx_VerifyCachedType(
              (PyObject *)cached_type,
              type->tp_name,
              cached_type->tp_basicsize,
              type->tp_basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    if (PyType_Ready(type) < 0) goto bad;
    if (PyObject_SetAttrString(abi_module, type->tp_name, (PyObject *)type) < 0)
        goto bad;
    Py_INCREF(type);
    cached_type = type;
done:
    Py_DECREF(abi_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module, *py_basicsize, *cached_type = NULL;
    Py_ssize_t basicsize;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    cached_type = PyObject_GetAttrString(abi_module, spec->name);
    if (cached_type) {
        py_basicsize = PyObject_GetAttrString(cached_type, "__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;
        if (__Pyx_VerifyCachedType(
              cached_type,
              spec->name,
              basicsize,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    cached_type = PyType_FromSpecWithBases(spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (PyObject_SetAttrString(abi_module, spec->name, cached_type) < 0) goto bad;
done:
    Py_DECREF(abi_module);
    assert(cached_type == NULL || PyType_Check(cached_type));
    return (PyTypeObject *) cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}
#endif

/* PyVectorcallFastCallDict */
  #if CYTHON_METH_FASTCALL
static PyObject *__Pyx_PyVectorcall_FastCallDict_kw(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, Py_ssize_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i, pos;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    newargs = (PyObject **)PyMem_Malloc((nargs + nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (i = 0; i < nargs; i++) newargs[i] = args[i];
    kwnames = PyTuple_New(nkw);
    if (unlikely(kwnames == NULL)) {
        PyMem_Free(newargs);
        return NULL;
    }
    kwvalues = newargs + nargs;
    pos = i = 0;
    keys_are_strings = Py_TPFLAGS_UNICODE_SUBCLASS;
    while (PyDict_Next(kw, &pos, &key, &value)) {
        keys_are_strings &= Py_TYPE(key)->tp_flags;
        Py_INCREF(key);
        Py_INCREF(value);
        PyTuple_SET_ITEM(kwnames, i, key);
        kwvalues[i] = value;
        i++;
    }
    if (unlikely(!keys_are_strings)) {
        PyErr_SetString(PyExc_TypeError, "keywords must be strings");
        goto cleanup;
    }
    res = vc(func, newargs, nargs, kwnames);
cleanup:
    Py_DECREF(kwnames);
    for (i = 0; i < nkw; i++)
        Py_DECREF(kwvalues[i]);
    PyMem_Free(newargs);
    return res;
}
static CYTHON_INLINE PyObject *__Pyx_PyVectorcall_FastCallDict(PyObject *func, __pyx_vectorcallfunc vc, PyObject *const *args, Py_ssize_t nargs, PyObject *kw)
{
    if (likely(kw == NULL) || PyDict_GET_SIZE(kw) == 0) {
        return vc(func, args, nargs, NULL);
    }
    return __Pyx_PyVectorcall_FastCallDict_kw(func, vc, args, nargs, kw);
}
#endif

/* 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)
{
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_doc, value);
    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)
{
#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;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_name, value);
    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)
{
#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;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_qualname, value);
    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)
{
    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;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_dict, value);
    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) {
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyTuple_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    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 (unlikely(__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) {
    if (!value) {
        value = Py_None;
    } else if (unlikely(value != Py_None && !PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    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 (unlikely(__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) {
    if (!value || value == Py_None) {
        value = NULL;
    } else if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    __Pyx_Py_XDECREF_SET(op->func_annotations, value);
    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},
#if CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if PY_VERSION_HEX < 0x030500A0
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_weakreflist), READONLY, 0},
#else
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(PyCFunctionObject, m_weakreflist), READONLY, 0},
#endif
#endif
    {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;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS)) {
    case METH_NOARGS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_NOARGS;
        break;
    case METH_O:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_O;
        break;
    case METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS;
        break;
    case METH_VARARGS | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = NULL;
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
#endif
    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_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 for CyFunction");
        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 CYTHON_METH_FASTCALL
     __pyx_vectorcallfunc vc = __Pyx_CyFunction_func_vectorcall(cyfunc);
    if (vc) {
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), PyTuple_GET_SIZE(args), kw);
    }
#endif
    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;
}
#if CYTHON_METH_FASTCALL
static CYTHON_INLINE int __Pyx_CyFunction_Vectorcall_CheckArgs(__pyx_CyFunctionObject *cyfunc, Py_ssize_t nargs, PyObject *kwnames)
{
    int ret = 0;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        if (unlikely(nargs < 1)) {
            PyErr_Format(PyExc_TypeError, "%.200s() needs an argument",
                         cyfunc->func.m_ml->ml_name);
            return -1;
        }
        ret = 1;
    }
    if (unlikely(kwnames) && unlikely(PyTuple_GET_SIZE(kwnames))) {
        PyErr_Format(PyExc_TypeError,
                     "%.200s() takes no keyword arguments", cyfunc->func.m_ml->ml_name);
        return -1;
    }
    return ret;
}
static PyObject * __Pyx_CyFunction_Vectorcall_NOARGS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = cyfunc->func.m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = cyfunc->func.m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 0)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, NULL);
}
static PyObject * __Pyx_CyFunction_Vectorcall_O(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = cyfunc->func.m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, kwnames)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = cyfunc->func.m_self;
        break;
    default:
        return NULL;
    }
    if (unlikely(nargs != 1)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
            def->ml_name, nargs);
        return NULL;
    }
    return def->ml_meth(self, args[0]);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = cyfunc->func.m_ml;
#if CYTHON_BACKPORT_VECTORCALL
    Py_ssize_t nargs = (Py_ssize_t)nargsf;
#else
    Py_ssize_t nargs = PyVectorcall_NARGS(nargsf);
#endif
    PyObject *self;
    switch (__Pyx_CyFunction_Vectorcall_CheckArgs(cyfunc, nargs, NULL)) {
    case 1:
        self = args[0];
        args += 1;
        nargs -= 1;
        break;
    case 0:
        self = cyfunc->func.m_self;
        break;
    default:
        return NULL;
    }
    return ((_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
}
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyType_Slot __pyx_CyFunctionType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_CyFunction_dealloc},
    {Py_tp_repr, (void *)__Pyx_CyFunction_repr},
    {Py_tp_call, (void *)__Pyx_CyFunction_CallAsMethod},
    {Py_tp_traverse, (void *)__Pyx_CyFunction_traverse},
    {Py_tp_clear, (void *)__Pyx_CyFunction_clear},
    {Py_tp_methods, (void *)__pyx_CyFunction_methods},
    {Py_tp_members, (void *)__pyx_CyFunction_members},
    {Py_tp_getset, (void *)__pyx_CyFunction_getsets},
    {Py_tp_descr_get, (void *)__Pyx_PyMethod_New},
    {0, 0},
};
static PyType_Spec __pyx_CyFunctionType_spec = {
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
#if !CYTHON_METH_FASTCALL
    0,
#elif CYTHON_BACKPORT_VECTORCALL
    (printfunc)offsetof(__pyx_CyFunctionObject, func_vectorcall),
#else
    offsetof(__pyx_CyFunctionObject, func.vectorcall),
#endif
    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,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#ifdef _Py_TPFLAGS_HAVE_VECTORCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    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_PyMethod_New,
    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
#if CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM+0 >= 0x06000000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(void) {
#if CYTHON_COMPILING_IN_LIMITED_API
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(&__pyx_CyFunctionType_spec, NULL);
#else
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
#endif
    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;
}

/* 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

/* 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_GetAttrStrNoError(__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 */
  #if !CYTHON_COMPILING_IN_LIMITED_API
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);
}
#endif

/* AddTraceback */
  #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if CYTHON_COMPILING_IN_LIMITED_API
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    _PyTraceback_Add(funcname, filename, c_line ? -c_line : py_line);
}
#else
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,
        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);
}
#endif

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

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

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

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

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

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

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

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

/* 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 */
  #if PY_MAJOR_VERSION >= 3
static int __Pyx_InitString(__Pyx_StringTabEntry t, PyObject **str) {
    if (t.is_unicode | t.is_str) {
        if (t.intern) {
            *str = PyUnicode_InternFromString(t.s);
        } else if (t.encoding) {
            *str = PyUnicode_Decode(t.s, t.n - 1, t.encoding, NULL);
        } else {
            *str = PyUnicode_FromStringAndSize(t.s, t.n - 1);
        }
    } else {
        *str = PyBytes_FromStringAndSize(t.s, t.n - 1);
    }
    if (!*str)
        return -1;
    if (PyObject_Hash(*str) == -1)
        return -1;
    return 0;
}
#endif
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION >= 3
        __Pyx_InitString(*t, t->p);
        #else
        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);
        }
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        #endif
        ++t;
    }
    return 0;
}
#endif

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 && !CYTHON_COMPILING_IN_LIMITED_API) || (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.",
                __Pyx_PyType_Name(Py_TYPE(result)))) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, __Pyx_PyType_Name(Py_TYPE(result)));
    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 Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(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);
}


/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
