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#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

#ifndef __cplusplus
  #error "Cython files generated with the C++ option must be compiled with a C++ compiler."
#endif
#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #else
    #define CYTHON_INLINE inline
  #endif
#endif
template<typename T>
void __Pyx_call_destructor(T& x) {
    x.~T();
}
template<typename T>
class __Pyx_FakeReference {
  public:
    __Pyx_FakeReference() : ptr(NULL) { }
    __Pyx_FakeReference(const T& ref) : ptr(const_cast<T*>(&ref)) { }
    T *operator->() { return ptr; }
    T *operator&() { return ptr; }
    operator T&() { return *ptr; }
    template<typename U> bool operator ==(const U& other) const { return *ptr == other; }
    template<typename U> bool operator !=(const U& other) const { return *ptr != other; }
    template<typename U> bool operator==(const __Pyx_FakeReference<U>& other) const { return *ptr == *other.ptr; }
    template<typename U> bool operator!=(const __Pyx_FakeReference<U>& other) const { return *ptr != *other.ptr; }
  private:
    T *ptr;
};

#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)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    static CYTHON_INLINE PyObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030B0000
        PyObject *version_info; // borrowed
        #endif
        PyObject *py_minor_version = NULL;
        long minor_version = 0;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #if __PYX_LIMITED_VERSION_HEX >= 0x030B0000
        minor_version = 11; // we don't yet need to distinguish between versions > 11
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        Py_XDECREF(py_minor_version);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
    #ifndef CO_OPTIMIZED
    #define CO_OPTIMIZED 0x0001
    #endif
    #ifndef CO_NEWLOCALS
    #define CO_NEWLOCALS 0x0002
    #endif
    #ifndef CO_VARARGS
    #define CO_VARARGS 0x0004
    #endif
    #ifndef CO_VARKEYWORDS
    #define CO_VARKEYWORDS 0x0008
    #endif
    #ifndef CO_ASYNC_GENERATOR
    #define CO_ASYNC_GENERATOR 0x0200
    #endif
    #ifndef CO_GENERATOR
    #define CO_GENERATOR 0x0020
    #endif
    #ifndef CO_COROUTINE
    #define CO_COROUTINE 0x0080
    #endif
#elif PY_VERSION_HEX >= 0x030B0000
  static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
    PyCodeObject *result;
    PyObject *empty_bytes = PyBytes_FromStringAndSize("", 0);  // we don't have access to __pyx_empty_bytes here
    if (!empty_bytes) return NULL;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, empty_bytes);
    Py_DECREF(empty_bytes);
    return result;
  }
#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
  #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)
#else
  #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)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#endif
#ifndef CO_COROUTINE
  #define CO_COROUTINE 0x80
#endif
#ifndef CO_ASYNC_GENERATOR
  #define CO_ASYNC_GENERATOR 0x200
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_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((size_t)(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)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_MAJOR_VERSION >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void *cfunc) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if __PYX_LIMITED_VERSION_HEX < 0x030900B1
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#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_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 CYTHON_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
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
#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 PY_MAJOR_VERSION < 3
    #if CYTHON_COMPILING_IN_PYPY
        #if PYPY_VERSION_NUM < 0x07030600
            #if defined(__cplusplus) && __cplusplus >= 201402L
                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
            #elif defined(__GNUC__) || defined(__clang__)
                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
            #elif defined(_MSC_VER)
                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
            #endif
            static CYTHON_INLINE int PyGILState_Check(void) {
                return 0;
            }
        #else  // PYPY_VERSION_NUM < 0x07030600
        #endif  // PYPY_VERSION_NUM < 0x07030600
    #else
        static CYTHON_INLINE int PyGILState_Check(void) {
            PyThreadState * tstate = _PyThreadState_Current;
            return tstate && (tstate == PyGILState_GetThisThreadState());
        }
    #endif
#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) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyObject_GenericSetAttr((PyObject*)tp, k, v)
#else
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyDict_SetItem(tp->tp_dict, k, v)
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE(obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#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, 1114111U)
  #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
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         ((int)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, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
    #else
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
    #endif
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535U : 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((int)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] = (Py_UNICODE) 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)) ?\
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#endif
#if CYTHON_COMPILING_IN_PYPY
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef PyUnicode_Contains
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#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 PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
#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 __Pyx_Py3Int_Check(op)       PyLong_Check(op)
  #define __Pyx_Py3Int_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
#else
  #define __Pyx_Py3Int_Check(op)       (PyLong_Check(op) || PyInt_Check(op))
  #define __Pyx_Py3Int_CheckExact(op)  (PyLong_CheckExact(op) || PyInt_CheckExact(op))
#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(WIN32) || defined(MS_WINDOWS)
  #if !defined(_USE_MATH_DEFINES)
    #define _USE_MATH_DEFINES
  #endif
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

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

#ifdef CYTHON_EXTERN_C
    #undef __PYX_EXTERN_C
    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
    #endif
#else
    #define __PYX_EXTERN_C extern "C++"
#endif

#define __PYX_HAVE__multipers__multiparameter_module_approximation
#define __PYX_HAVE_API__multipers__multiparameter_module_approximation
/* Early includes */
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <utility>

    #if __cplusplus >= 201103L || (defined(_MSC_VER) && _MSC_VER >= 1600)
    // move should be defined for these versions of MSVC, but __cplusplus isn't set usefully
    #include <type_traits>

    namespace cython_std {
    template <typename T> typename std::remove_reference<T>::type&& move(T& t) noexcept { return std::move(t); }
    template <typename T> typename std::remove_reference<T>::type&& move(T&& t) noexcept { return std::move(t); }
    }

    #endif
    
#include <vector>
#include "gudhi/Simplex_tree/multi_filtrations/Finitely_critical_filtrations.h"
#include "gudhi/Simplex_tree/multi_filtrations/Box.h"
#include "gudhi/Simplex_tree/multi_filtrations/Line.h"
#include "multiparameter_module_approximation/approximation.h"
#include "multiparameter_module_approximation/utilities.h"
#include <stdint.h>
#include "multiparameter_module_approximation/format_python-cpp.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 Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#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_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#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
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else  // Py < 3.12
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
#endif
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
#include <string.h>
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] = (char) 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
#include <string.h>
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_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
#endif
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm = __FILE__;
static const char *__pyx_filename;

/* #### Code section: filename_table ### */

static const char *__pyx_f[] = {
  "<stringsource>",
  "multipers/multiparameter_module_approximation.pyx",
};
/* #### Code section: utility_code_proto_before_types ### */
/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

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

/* #### Code section: numeric_typedefs ### */

/* "multipers/multiparameter_module_approximation.pxd":6
 * from libcpp cimport tuple
 * 
 * ctypedef float value_type             # <<<<<<<<<<<<<<
 * 
 * ctypedef pair[vector[value_type],vector[value_type]] interval
 */
typedef float __pyx_t_9multipers_35multiparameter_module_approximation_value_type;

/* "multipers/multiparameter_module_approximation.pxd":11
 * ctypedef vector[value_type] corner_type
 * ctypedef vector[vector[value_type]] image_type
 * ctypedef int dimension_type             # <<<<<<<<<<<<<<
 * ctypedef vector[value_type] point_type
 * ctypedef pair[vector[point_type], vector[point_type]] corner_list
 */
typedef int __pyx_t_9multipers_35multiparameter_module_approximation_dimension_type;

/* "multipers/multiparameter_module_approximation.pxd":14
 * ctypedef vector[value_type] point_type
 * ctypedef pair[vector[point_type], vector[point_type]] corner_list
 * ctypedef value_type filtration_value_type             # <<<<<<<<<<<<<<
 * ctypedef pair[corner_type, corner_type] bar
 * ctypedef vector[bar] barcode
 */
typedef __pyx_t_9multipers_35multiparameter_module_approximation_value_type __pyx_t_9multipers_35multiparameter_module_approximation_filtration_value_type;
/* #### Code section: complex_type_declarations ### */
/* #### Code section: type_declarations ### */

/*--- Type declarations ---*/
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand;
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox;
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint;
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram;
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams;
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyLine;
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule;
struct __pyx_obj_9multipers_35multiparameter_module_approximation___pyx_scope_struct__genexpr;
struct __pyx_opt_args_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams__get_plot_bars;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;

/* "multipers/multiparameter_module_approximation.pxd":8
 * ctypedef float value_type
 * 
 * ctypedef pair[vector[value_type],vector[value_type]] interval             # <<<<<<<<<<<<<<
 * ctypedef vector[value_type] corner_type
 * ctypedef vector[vector[value_type]] image_type
 */
typedef std::pair<std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type> ,std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type> >  __pyx_t_9multipers_35multiparameter_module_approximation_interval;

/* "multipers/multiparameter_module_approximation.pxd":9
 * 
 * ctypedef pair[vector[value_type],vector[value_type]] interval
 * ctypedef vector[value_type] corner_type             # <<<<<<<<<<<<<<
 * ctypedef vector[vector[value_type]] image_type
 * ctypedef int dimension_type
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  __pyx_t_9multipers_35multiparameter_module_approximation_corner_type;

/* "multipers/multiparameter_module_approximation.pxd":10
 * ctypedef pair[vector[value_type],vector[value_type]] interval
 * ctypedef vector[value_type] corner_type
 * ctypedef vector[vector[value_type]] image_type             # <<<<<<<<<<<<<<
 * ctypedef int dimension_type
 * ctypedef vector[value_type] point_type
 */
typedef std::vector<std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type> >  __pyx_t_9multipers_35multiparameter_module_approximation_image_type;

/* "multipers/multiparameter_module_approximation.pxd":12
 * ctypedef vector[vector[value_type]] image_type
 * ctypedef int dimension_type
 * ctypedef vector[value_type] point_type             # <<<<<<<<<<<<<<
 * ctypedef pair[vector[point_type], vector[point_type]] corner_list
 * ctypedef value_type filtration_value_type
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  __pyx_t_9multipers_35multiparameter_module_approximation_point_type;

/* "multipers/multiparameter_module_approximation.pxd":13
 * ctypedef int dimension_type
 * ctypedef vector[value_type] point_type
 * ctypedef pair[vector[point_type], vector[point_type]] corner_list             # <<<<<<<<<<<<<<
 * ctypedef value_type filtration_value_type
 * ctypedef pair[corner_type, corner_type] bar
 */
typedef std::pair<std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_point_type> ,std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_point_type> >  __pyx_t_9multipers_35multiparameter_module_approximation_corner_list;

/* "multipers/multiparameter_module_approximation.pxd":15
 * ctypedef pair[vector[point_type], vector[point_type]] corner_list
 * ctypedef value_type filtration_value_type
 * ctypedef pair[corner_type, corner_type] bar             # <<<<<<<<<<<<<<
 * ctypedef vector[bar] barcode
 * ctypedef pair[vector[pair[value_type, value_type]], vector[unsigned int]] plot_interface_type
 */
typedef std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_corner_type,__pyx_t_9multipers_35multiparameter_module_approximation_corner_type>  __pyx_t_9multipers_35multiparameter_module_approximation_bar;

/* "multipers/multiparameter_module_approximation.pxd":16
 * ctypedef value_type filtration_value_type
 * ctypedef pair[corner_type, corner_type] bar
 * ctypedef vector[bar] barcode             # <<<<<<<<<<<<<<
 * ctypedef pair[vector[pair[value_type, value_type]], vector[unsigned int]] plot_interface_type
 * ctypedef vector[value_type] multipers_bar
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_bar>  __pyx_t_9multipers_35multiparameter_module_approximation_barcode;

/* "multipers/multiparameter_module_approximation.pxd":17
 * ctypedef pair[corner_type, corner_type] bar
 * ctypedef vector[bar] barcode
 * ctypedef pair[vector[pair[value_type, value_type]], vector[unsigned int]] plot_interface_type             # <<<<<<<<<<<<<<
 * ctypedef vector[value_type] multipers_bar
 * ctypedef vector[multipers_bar] multipers_barcode
 */
typedef std::pair<std::vector<std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_value_type,__pyx_t_9multipers_35multiparameter_module_approximation_value_type> > ,std::vector<unsigned int> >  __pyx_t_9multipers_35multiparameter_module_approximation_plot_interface_type;

/* "multipers/multiparameter_module_approximation.pxd":18
 * ctypedef vector[bar] barcode
 * ctypedef pair[vector[pair[value_type, value_type]], vector[unsigned int]] plot_interface_type
 * ctypedef vector[value_type] multipers_bar             # <<<<<<<<<<<<<<
 * ctypedef vector[multipers_bar] multipers_barcode
 * ctypedef vector[barcode] barcodes
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  __pyx_t_9multipers_35multiparameter_module_approximation_multipers_bar;

/* "multipers/multiparameter_module_approximation.pxd":19
 * ctypedef pair[vector[pair[value_type, value_type]], vector[unsigned int]] plot_interface_type
 * ctypedef vector[value_type] multipers_bar
 * ctypedef vector[multipers_bar] multipers_barcode             # <<<<<<<<<<<<<<
 * ctypedef vector[barcode] barcodes
 * ctypedef vector[int] euler_curve_type
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_multipers_bar>  __pyx_t_9multipers_35multiparameter_module_approximation_multipers_barcode;

/* "multipers/multiparameter_module_approximation.pxd":20
 * ctypedef vector[value_type] multipers_bar
 * ctypedef vector[multipers_bar] multipers_barcode
 * ctypedef vector[barcode] barcodes             # <<<<<<<<<<<<<<
 * ctypedef vector[int] euler_curve_type
 * ctypedef vector[value_type] filtration_type
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_barcode>  __pyx_t_9multipers_35multiparameter_module_approximation_barcodes;

/* "multipers/multiparameter_module_approximation.pxd":21
 * ctypedef vector[multipers_bar] multipers_barcode
 * ctypedef vector[barcode] barcodes
 * ctypedef vector[int] euler_curve_type             # <<<<<<<<<<<<<<
 * ctypedef vector[value_type] filtration_type
 * ctypedef vector[filtration_type] multifiltration
 */
typedef std::vector<int>  __pyx_t_9multipers_35multiparameter_module_approximation_euler_curve_type;

/* "multipers/multiparameter_module_approximation.pxd":22
 * ctypedef vector[barcode] barcodes
 * ctypedef vector[int] euler_curve_type
 * ctypedef vector[value_type] filtration_type             # <<<<<<<<<<<<<<
 * ctypedef vector[filtration_type] multifiltration
 * ctypedef vector[pair[int,pair[value_type,value_type]]] barcoded
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  __pyx_t_9multipers_35multiparameter_module_approximation_filtration_type;

/* "multipers/multiparameter_module_approximation.pxd":23
 * ctypedef vector[int] euler_curve_type
 * ctypedef vector[value_type] filtration_type
 * ctypedef vector[filtration_type] multifiltration             # <<<<<<<<<<<<<<
 * ctypedef vector[pair[int,pair[value_type,value_type]]] barcoded
 * ctypedef vector[unsigned int] boundary_type
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_filtration_type>  __pyx_t_9multipers_35multiparameter_module_approximation_multifiltration;

/* "multipers/multiparameter_module_approximation.pxd":24
 * ctypedef vector[value_type] filtration_type
 * ctypedef vector[filtration_type] multifiltration
 * ctypedef vector[pair[int,pair[value_type,value_type]]] barcoded             # <<<<<<<<<<<<<<
 * ctypedef vector[unsigned int] boundary_type
 * ctypedef vector[boundary_type] boundary_matrix
 */
typedef std::vector<std::pair<int,std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_value_type,__pyx_t_9multipers_35multiparameter_module_approximation_value_type> > >  __pyx_t_9multipers_35multiparameter_module_approximation_barcoded;

/* "multipers/multiparameter_module_approximation.pxd":25
 * ctypedef vector[filtration_type] multifiltration
 * ctypedef vector[pair[int,pair[value_type,value_type]]] barcoded
 * ctypedef vector[unsigned int] boundary_type             # <<<<<<<<<<<<<<
 * ctypedef vector[boundary_type] boundary_matrix
 * ctypedef pair[pair[value_type,value_type],pair[value_type,value_type]] interval_2
 */
typedef std::vector<unsigned int>  __pyx_t_9multipers_35multiparameter_module_approximation_boundary_type;

/* "multipers/multiparameter_module_approximation.pxd":26
 * ctypedef vector[pair[int,pair[value_type,value_type]]] barcoded
 * ctypedef vector[unsigned int] boundary_type
 * ctypedef vector[boundary_type] boundary_matrix             # <<<<<<<<<<<<<<
 * ctypedef pair[pair[value_type,value_type],pair[value_type,value_type]] interval_2
 * 
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_boundary_type>  __pyx_t_9multipers_35multiparameter_module_approximation_boundary_matrix;

/* "multipers/multiparameter_module_approximation.pxd":27
 * ctypedef vector[unsigned int] boundary_type
 * ctypedef vector[boundary_type] boundary_matrix
 * ctypedef pair[pair[value_type,value_type],pair[value_type,value_type]] interval_2             # <<<<<<<<<<<<<<
 * 
 * ctypedef vector[Summand] summand_list_type
 */
typedef std::pair<std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_value_type,__pyx_t_9multipers_35multiparameter_module_approximation_value_type> ,std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_value_type,__pyx_t_9multipers_35multiparameter_module_approximation_value_type> >  __pyx_t_9multipers_35multiparameter_module_approximation_interval_2;

/* "multipers/multiparameter_module_approximation.pxd":29
 * ctypedef pair[pair[value_type,value_type],pair[value_type,value_type]] interval_2
 * 
 * ctypedef vector[Summand] summand_list_type             # <<<<<<<<<<<<<<
 * ctypedef vector[summand_list_type] approx_summand_type
 * ctypedef vector[int] simplex_type
 */
typedef std::vector<Gudhi::multiparameter::mma::Summand>  __pyx_t_9multipers_35multiparameter_module_approximation_summand_list_type;

/* "multipers/multiparameter_module_approximation.pxd":30
 * 
 * ctypedef vector[Summand] summand_list_type
 * ctypedef vector[summand_list_type] approx_summand_type             # <<<<<<<<<<<<<<
 * ctypedef vector[int] simplex_type
 * 
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_summand_list_type>  __pyx_t_9multipers_35multiparameter_module_approximation_approx_summand_type;

/* "multipers/multiparameter_module_approximation.pxd":31
 * ctypedef vector[Summand] summand_list_type
 * ctypedef vector[summand_list_type] approx_summand_type
 * ctypedef vector[int] simplex_type             # <<<<<<<<<<<<<<
 * 
 * 
 */
typedef std::vector<int>  __pyx_t_9multipers_35multiparameter_module_approximation_simplex_type;

/* "multipers/multiparameter_module_approximation.pxd":49
 * 			return self.get_vector()
 * 
 * ctypedef Finitely_critical_multi_filtration cfiltration_type             # <<<<<<<<<<<<<<
 * ctypedef vector[cfiltration_type] cmultifiltration_type
 * 
 */
typedef Gudhi::multiparameter::multi_filtrations::Finitely_critical_multi_filtration<Gudhi::multiparameter::Simplex_tree_options_multidimensional_filtration::value_type> __pyx_t_9multipers_35multiparameter_module_approximation_cfiltration_type;

/* "multipers/multiparameter_module_approximation.pxd":50
 * 
 * ctypedef Finitely_critical_multi_filtration cfiltration_type
 * ctypedef vector[cfiltration_type] cmultifiltration_type             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "gudhi/Simplex_tree/multi_filtrations/Box.h" namespace "Gudhi::multiparameter::mma":
 */
typedef std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_cfiltration_type>  __pyx_t_9multipers_35multiparameter_module_approximation_cmultifiltration_type;

/* "multipers/multiparameter_module_approximation.pyx":165
 * 		# return np.array([x.get_points(dimension) for x in self.multiDiagrams], dtype=float)
 * 		# return np.array([PyMultiDiagram().set(x).get_points(dimension) for x in self.multiDiagrams])
 * 	cdef _get_plot_bars(self, dimension:int=-1, min_persistence:float=0):             # <<<<<<<<<<<<<<
 * 		return self.multiDiagrams._for_python_plot(dimension, min_persistence);
 * 	def plot(self, degree:int=-1, min_persistence:float=0):
 */
struct __pyx_opt_args_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams__get_plot_bars {
  int __pyx_n;
  PyObject *dimension;
  double min_persistence;
};
struct __pyx_defaults {
  PyObject *__pyx_arg_nlines;
  PyObject *__pyx_arg_max_dimension;
};

/* "multipers/multiparameter_module_approximation.pyx":50
 * 
 * 
 * cdef class PySummand:             # <<<<<<<<<<<<<<
 * 	"""
 * 	Stores a Summand of a PyModule
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand {
  PyObject_HEAD
  struct __pyx_vtabstruct_9multipers_35multiparameter_module_approximation_PySummand *__pyx_vtab;
  Gudhi::multiparameter::mma::Summand sum;
};


/* "multipers/multiparameter_module_approximation.pyx":87
 * 	return out
 * 
 * cdef class PyBox:             # <<<<<<<<<<<<<<
 * 	cdef Box[value_type] box
 * 	def __cinit__(self, corner_type bottomCorner, corner_type topCorner):
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox {
  PyObject_HEAD
  struct __pyx_vtabstruct_9multipers_35multiparameter_module_approximation_PyBox *__pyx_vtab;
  Gudhi::multiparameter::mma::Box<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  box;
};


/* "multipers/multiparameter_module_approximation.pyx":108
 * 		return np.array(self.get()).flatten(order = 'F')
 * 
 * cdef class PyMultiDiagramPoint:             # <<<<<<<<<<<<<<
 * 	cdef MultiDiagram_point point
 * 	cdef set(self, MultiDiagram_point &pt):
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint {
  PyObject_HEAD
  struct __pyx_vtabstruct_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint *__pyx_vtab;
  Gudhi::multiparameter::mma::MultiDiagram_point point;
};


/* "multipers/multiparameter_module_approximation.pyx":121
 * 		return self.point.get_death()
 * 
 * cdef class PyMultiDiagram:             # <<<<<<<<<<<<<<
 * 	"""
 * 	Stores the diagram of a PyModule on a line
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram {
  PyObject_HEAD
  struct __pyx_vtabstruct_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_vtab;
  Gudhi::multiparameter::mma::MultiDiagram multiDiagram;
};


/* "multipers/multiparameter_module_approximation.pyx":142
 * 	def __getitem__(self,i:int) -> PyMultiDiagramPoint:
 * 		return PyMultiDiagramPoint().set(self.multiDiagram.at(i % self.multiDiagram.size()))
 * cdef class PyMultiDiagrams:             # <<<<<<<<<<<<<<
 * 	"""
 * 	Stores the barcodes of a PyModule on multiple lines
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams {
  PyObject_HEAD
  struct __pyx_vtabstruct_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_vtab;
  Gudhi::multiparameter::mma::MultiDiagrams multiDiagrams;
};


/* "multipers/multiparameter_module_approximation.pyx":196
 * 		plt.rc('axes', prop_cycle = cycler('color', [_cmap(i/n_summands) for i in colors]))
 * 		plt.plot(*multibarcodes_)
 * cdef class PyLine:             # <<<<<<<<<<<<<<
 * 	cdef Line[value_type] line
 * 
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyLine {
  PyObject_HEAD
  Gudhi::multiparameter::mma::Line<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  line;
};


/* "multipers/multiparameter_module_approximation.pyx":199
 * 	cdef Line[value_type] line
 * 
 * cdef class PyModule:             # <<<<<<<<<<<<<<
 * 	"""
 * 	Stores a representation of a n-persistence module.
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule {
  PyObject_HEAD
  struct __pyx_vtabstruct_9multipers_35multiparameter_module_approximation_PyModule *__pyx_vtab;
  Gudhi::multiparameter::mma::Module cmod;
};


/* "multipers/multiparameter_module_approximation.pyx":757
 * 	top_corner = cbox.get_upper_corner().get_vector()
 * 	box = np.asarray([bottom_corner,top_corner])
 * 	summands = tuple(dump_summand(summand) for summand in mod)             # <<<<<<<<<<<<<<
 * 	return box, summands
 * 
 */
struct __pyx_obj_9multipers_35multiparameter_module_approximation___pyx_scope_struct__genexpr {
  PyObject_HEAD
  Gudhi::multiparameter::mma::Module __pyx_genexpr_arg_0;
  Gudhi::multiparameter::mma::Summand __pyx_v_summand;
  std::vector<Gudhi::multiparameter::mma::Summand> ::iterator __pyx_t_0;
};



/* "multipers/multiparameter_module_approximation.pyx":50
 * 
 * 
 * cdef class PySummand:             # <<<<<<<<<<<<<<
 * 	"""
 * 	Stores a Summand of a PyModule
 */

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

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

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

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

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

/* MoveIfSupported.proto */
#if CYTHON_USE_CPP_STD_MOVE
  #include <utility>
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) std::move(x)
#else
  #define __PYX_STD_MOVE_IF_SUPPORTED(x) x
#endif

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

/* PyObjectCallNoArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);

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

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

/* ImportDottedModule.proto */
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple);
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple);
#endif

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

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

/* AssertionsEnabled.proto */
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (1)
#elif CYTHON_COMPILING_IN_LIMITED_API  ||  (CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030C0000)
  static int __pyx_assertions_enabled_flag;
  #define __pyx_assertions_enabled() (__pyx_assertions_enabled_flag)
  static int __Pyx_init_assertions_enabled(void) {
    PyObject *builtins, *debug, *debug_str;
    int flag;
    builtins = PyEval_GetBuiltins();
    if (!builtins) goto bad;
    debug_str = PyUnicode_FromStringAndSize("__debug__", 9);
    if (!debug_str) goto bad;
    debug = PyObject_GetItem(builtins, debug_str);
    Py_DECREF(debug_str);
    if (!debug) goto bad;
    flag = PyObject_IsTrue(debug);
    Py_DECREF(debug);
    if (flag == -1) goto bad;
    __pyx_assertions_enabled_flag = flag;
    return 0;
  bad:
    __pyx_assertions_enabled_flag = 1;
    return -1;
  }
#else
  #define __Pyx_init_assertions_enabled()  (0)
  #define __pyx_assertions_enabled()  (!Py_OptimizeFlag)
#endif

/* RaiseUnexpectedTypeError.proto */
static int __Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj);

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

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

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

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

/* py_dict_pop.proto */
static CYTHON_INLINE PyObject *__Pyx_PyDict_Pop(PyObject *d, PyObject *key, PyObject *default_value);

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

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

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

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

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

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

/* MergeKeywords.proto */
static int __Pyx_MergeKeywords(PyObject *kwdict, PyObject *source_mapping);

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

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

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

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

/* PyObjectFormatSimple.proto */
#if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#elif PY_MAJOR_VERSION < 3
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyString_CheckExact(s)) ? PyUnicode_FromEncodedObject(s, NULL, "strict") :\
        PyObject_Format(s, f))
#elif CYTHON_USE_TYPE_SLOTS
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        likely(PyLong_CheckExact(s)) ? PyLong_Type.tp_repr(s) :\
        likely(PyFloat_CheckExact(s)) ? PyFloat_Type.tp_repr(s) :\
        PyObject_Format(s, f))
#else
    #define __Pyx_PyObject_FormatSimple(s, f) (\
        likely(PyUnicode_CheckExact(s)) ? (Py_INCREF(s), s) :\
        PyObject_Format(s, f))
#endif

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

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

/* RaiseUnboundLocalError.proto */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

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

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

/* pep479.proto */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen);

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

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

/* pop.proto */
static CYTHON_INLINE PyObject* __Pyx__PyObject_Pop(PyObject* L);
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE PyObject* __Pyx_PyList_Pop(PyObject* L);
#define __Pyx_PyObject_Pop(L) (likely(PyList_CheckExact(L)) ?\
    __Pyx_PyList_Pop(L) : __Pyx__PyObject_Pop(L))
#else
#define __Pyx_PyList_Pop(L)  __Pyx__PyObject_Pop(L)
#define __Pyx_PyObject_Pop(L)  __Pyx__PyObject_Pop(L)
#endif

/* CallUnboundCMethod0.proto */
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CallUnboundCMethod0(cfunc, self)\
    (likely((cfunc)->func) ?\
        (likely((cfunc)->flag == METH_NOARGS) ?  (*((cfunc)->func))(self, NULL) :\
         (PY_VERSION_HEX >= 0x030600B1 && likely((cfunc)->flag == METH_FASTCALL) ?\
            (PY_VERSION_HEX >= 0x030700A0 ?\
                (*(__Pyx_PyCFunctionFast)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0) :\
                (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0, NULL)) :\
          (PY_VERSION_HEX >= 0x030700A0 && (cfunc)->flag == (METH_FASTCALL | METH_KEYWORDS) ?\
            (*(__Pyx_PyCFunctionFastWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, &__pyx_empty_tuple, 0, NULL) :\
            (likely((cfunc)->flag == (METH_VARARGS | METH_KEYWORDS)) ?  ((*(PyCFunctionWithKeywords)(void*)(PyCFunction)(cfunc)->func)(self, __pyx_empty_tuple, NULL)) :\
               ((cfunc)->flag == METH_VARARGS ?  (*((cfunc)->func))(self, __pyx_empty_tuple) :\
               __Pyx__CallUnboundCMethod0(cfunc, self)))))) :\
        __Pyx__CallUnboundCMethod0(cfunc, self))
#else
#define __Pyx_CallUnboundCMethod0(cfunc, self)  __Pyx__CallUnboundCMethod0(cfunc, self)
#endif

/* IncludeStructmemberH.proto */
#include <structmember.h>

/* FixUpExtensionType.proto */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type);
#endif

/* ValidateBasesTuple.proto */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases);
#endif

/* PyType_Ready.proto */
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);

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

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

/* SetVTable.proto */
static int __Pyx_SetVtable(PyTypeObject* typeptr , void* vtable);

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyTypeObject *type);

/* MergeVTables.proto */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type);
#endif

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

/* FetchSharedCythonModule.proto */
static PyObject *__Pyx_FetchSharedCythonABIModule(void);

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

/* PyMethodNew.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    PyObject *typesModule=NULL, *methodType=NULL, *result=NULL;
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(func);
    typesModule = PyImport_ImportModule("types");
    if (!typesModule) return NULL;
    methodType = PyObject_GetAttrString(typesModule, "MethodType");
    Py_DECREF(typesModule);
    if (!methodType) return NULL;
    result = PyObject_CallFunctionObjArgs(methodType, func, self, NULL);
    Py_DECREF(methodType);
    return result;
}
#elif PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_PyMethod_New(PyObject *func, PyObject *self, PyObject *typ) {
    CYTHON_UNUSED_VAR(typ);
    if (!self)
        return __Pyx_NewRef(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, size_t nargs, PyObject *kw);
#endif

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CYFUNCTION_COROUTINE     0x08
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_CyFunction_GetClassObj(f)\
      (((__pyx_CyFunctionObject *) (f))->func_classobj)
#else
  #define __Pyx_CyFunction_GetClassObj(f)\
      ((PyObject*) ((PyCMethodObject *) (f))->mm_class)
#endif
#define __Pyx_CyFunction_SetClassObj(f, classobj)\
    __Pyx__CyFunction_SetClassObj((__pyx_CyFunctionObject *) (f), (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 {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject_HEAD
    PyObject *func;
#elif PY_VERSION_HEX < 0x030900B1
    PyCFunctionObject func;
#else
    PyCMethodObject func;
#endif
#if CYTHON_BACKPORT_VECTORCALL
    __pyx_vectorcallfunc func_vectorcall;
#endif
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
    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;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    PyObject *func_classobj;
#endif
    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;
    PyObject *func_is_coroutine;
} __pyx_CyFunctionObject;
#undef __Pyx_CyOrPyCFunction_Check
#define __Pyx_CyFunction_Check(obj)  __Pyx_TypeCheck(obj, __pyx_CyFunctionType)
#define __Pyx_CyOrPyCFunction_Check(obj)  __Pyx_TypeCheck2(obj, __pyx_CyFunctionType, &PyCFunction_Type)
#define __Pyx_CyFunction_CheckExact(obj)  __Pyx_IS_TYPE(obj, __pyx_CyFunctionType)
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc);
#undef __Pyx_IsSameCFunction
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/* #### Code section: module_declarations ### */
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_9PySummand_set(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand *__pyx_v_self, Gudhi::multiparameter::mma::Summand &__pyx_v_summand); /* proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_5PyBox_set(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self, Gudhi::multiparameter::mma::Box<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  &__pyx_v_b); /* proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_19PyMultiDiagramPoint_set(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint *__pyx_v_self, Gudhi::multiparameter::mma::MultiDiagram_point &__pyx_v_pt); /* proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_14PyMultiDiagram_set(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_v_self, Gudhi::multiparameter::mma::MultiDiagram __pyx_v_m); /* proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_set(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self, Gudhi::multiparameter::mma::MultiDiagrams __pyx_v_m); /* proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams__get_plot_bars(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self, struct __pyx_opt_args_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams__get_plot_bars *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_8PyModule_set(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, Gudhi::multiparameter::mma::Module __pyx_v_m); /* proto*/

/* Module declarations from "libcpp.utility" */

/* Module declarations from "libcpp" */

/* Module declarations from "libcpp.vector" */

/* Module declarations from "libc.stdint" */

/* Module declarations from "multipers.multiparameter_module_approximation" */
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_get_summand_filtration_values(Gudhi::multiparameter::mma::Summand); /*proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_dump_summand(Gudhi::multiparameter::mma::Summand &); /*proto*/
static Gudhi::multiparameter::mma::Summand __pyx_f_9multipers_35multiparameter_module_approximation_summand_from_dump(PyObject *); /*proto*/
static PyObject *__pyx_f_9multipers_35multiparameter_module_approximation_dump_cmod(Gudhi::multiparameter::mma::Module &); /*proto*/
static Gudhi::multiparameter::mma::Module __pyx_f_9multipers_35multiparameter_module_approximation_cmod_from_dump(PyObject *); /*proto*/
static std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  __pyx_convert_vector_from_py___pyx_t_9multipers_35multiparameter_module_approximation_value_type(PyObject *); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_value_type(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_filtration_type(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_filtration_type>  const &); /*proto*/
static PyObject *__pyx_convert_pair_to_py___pyx_t_9multipers_35multiparameter_module_approximation_corner_type______pyx_t_9multipers_35multiparameter_module_approximation_corner_type(std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_corner_type,__pyx_t_9multipers_35multiparameter_module_approximation_corner_type>  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_bar(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_bar>  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_multipers_bar(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_multipers_bar>  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py_std_3a__3a_vector_3c___pyx_t_9multipers_35multiparameter_module_approximation_value_type_3e___(std::vector<std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type> >  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_barcode(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_barcode>  const &); /*proto*/
static PyObject *__pyx_convert_pair_to_py___pyx_t_9multipers_35multiparameter_module_approximation_value_type______pyx_t_9multipers_35multiparameter_module_approximation_value_type(std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_value_type,__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py_std_3a__3a_pair_3c___pyx_t_9multipers_35multiparameter_module_approximation_value_type_2c___pyx_t_9multipers_35multiparameter_module_approximation_value_type_3e___(std::vector<std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_value_type,__pyx_t_9multipers_35multiparameter_module_approximation_value_type> >  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py_unsigned_int(std::vector<unsigned int>  const &); /*proto*/
static PyObject *__pyx_convert_pair_to_py_std_3a__3a_vector_3c_std_3a__3a_pair_3c___pyx_t_9multipers_35multiparameter_module_approximation_value_type_2c___pyx_t_9multipers_35multiparameter_module_approximation_value_type_3e____3e_______std_3a__3a_vector_3c_unsigned_int_3e___(std::pair<std::vector<std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_value_type,__pyx_t_9multipers_35multiparameter_module_approximation_value_type> > ,std::vector<unsigned int> >  const &); /*proto*/
static std::vector<int>  __pyx_convert_vector_from_py_int(PyObject *); /*proto*/
static std::vector<std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type> >  __pyx_convert_vector_from_py_std_3a__3a_vector_3c___pyx_t_9multipers_35multiparameter_module_approximation_value_type_3e___(PyObject *); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_point_type(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_point_type>  const &); /*proto*/
static PyObject *__pyx_convert_pair_to_py_std_3a__3a_vector_3c___pyx_t_9multipers_35multiparameter_module_approximation_point_type_3e_______std_3a__3a_vector_3c___pyx_t_9multipers_35multiparameter_module_approximation_point_type_3e___(std::pair<std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_point_type> ,std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_point_type> >  const &); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_corner_list(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_corner_list>  const &); /*proto*/
static std::pair<__pyx_t_9multipers_35multiparameter_module_approximation_corner_type,__pyx_t_9multipers_35multiparameter_module_approximation_corner_type>  __pyx_convert_pair_from_py___pyx_t_9multipers_35multiparameter_module_approximation_corner_type__and___pyx_t_9multipers_35multiparameter_module_approximation_corner_type(PyObject *); /*proto*/
static std::vector<unsigned int>  __pyx_convert_vector_from_py_unsigned_int(PyObject *); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_image_type(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_image_type>  const &); /*proto*/
static std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_filtration_type>  __pyx_convert_vector_from_py___pyx_t_9multipers_35multiparameter_module_approximation_filtration_type(PyObject *); /*proto*/
static PyObject *__pyx_convert_vector_to_py_int(std::vector<int>  const &); /*proto*/
static std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_boundary_type>  __pyx_convert_vector_from_py___pyx_t_9multipers_35multiparameter_module_approximation_boundary_type(PyObject *); /*proto*/
static PyObject *__pyx_convert_vector_to_py___pyx_t_9multipers_35multiparameter_module_approximation_boundary_type(std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_boundary_type>  const &); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "multipers.multiparameter_module_approximation"
extern int __pyx_module_is_main_multipers__multiparameter_module_approximation;
int __pyx_module_is_main_multipers__multiparameter_module_approximation = 0;

/* Implementation of "multipers.multiparameter_module_approximation" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_AssertionError;
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static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_open;
static PyObject *__pyx_builtin_MemoryError;
/* #### Code section: string_decls ### */
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static const char __pyx_k_t[] = "t";
static const char __pyx_k_x[] = "x";
static const char __pyx_k__9[] = ".";
static const char __pyx_k_ax[] = "ax";
static const char __pyx_k_cb[] = "cb";
static const char __pyx_k_f2[] = "f2";
static const char __pyx_k_gc[] = "gc";
static const char __pyx_k_gd[] = "gd";
static const char __pyx_k_ks[] = "ks";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_pk[] = "pk";
static const char __pyx_k_rb[] = "rb";
static const char __pyx_k_rc[] = "rc";
static const char __pyx_k_st[] = "st";
static const char __pyx_k_xx[] = "xx";
static const char __pyx_k__10[] = "*";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_axs[] = "axs";
static const char __pyx_k_box[] = "box";
static const char __pyx_k_dim[] = "dim";
static const char __pyx_k_dpi[] = "dpi";
static const char __pyx_k_fig[] = "fig";
static const char __pyx_k_fit[] = "fit";
static const char __pyx_k_get[] = "get";
static const char __pyx_k_inf[] = "inf";
static const char __pyx_k_int[] = "int";
static const char __pyx_k_kde[] = "kde";
static const char __pyx_k_max[] = "max";
static const char __pyx_k_min[] = "min";
static const char __pyx_k_mod[] = "mod";
static const char __pyx_k_num[] = "num";
static const char __pyx_k_out[] = "out";
static const char __pyx_k_plt[] = "plt";
static const char __pyx_k_pop[] = "pop";
static const char __pyx_k_res[] = "res";
static const char __pyx_k_sca[] = "sca";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k_List[] = "List";
static const char __pyx_k_None[] = "None";
static const char __pyx_k__112[] = "?";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_axes[] = "axes";
static const char __pyx_k_axis[] = "axis";
static const char __pyx_k_bool[] = "bool";
static const char __pyx_k_cbox[] = "cbox";
static const char __pyx_k_cmap[] = "_cmap";
static const char __pyx_k_cmod[] = "cmod";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_cptr[] = "cptr";
static const char __pyx_k_dump[] = "dump";
static const char __pyx_k_full[] = "full";
static const char __pyx_k_list[] = "list";
static const char __pyx_k_load[] = "load";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mesh[] = "mesh";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_open[] = "open";
static const char __pyx_k_path[] = "path";
static const char __pyx_k_plot[] = "plot";
static const char __pyx_k_prod[] = "prod";
static const char __pyx_k_save[] = "save";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_send[] = "send";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_spec[] = "__spec__";
static const char __pyx_k_temp[] = "temp";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_PyBox[] = "PyBox";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_c_box[] = "c_box";
static const char __pyx_k_c_mod[] = "c_mod";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_color[] = "color";
static const char __pyx_k_delta[] = "delta";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_empty[] = "empty";
static const char __pyx_k_euler[] = "euler";
static const char __pyx_k_float[] = "float";
static const char __pyx_k_gudhi[] = "gudhi";
static const char __pyx_k_image[] = "image";
static const char __pyx_k_items[] = "items";
static const char __pyx_k_lower[] = "lower";
static const char __pyx_k_nsplx[] = "nsplx";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_order[] = "order";
static const char __pyx_k_prime[] = "prime";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_pybox[] = "pybox";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_scale[] = "scale";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_stuff[] = "stuff";
static const char __pyx_k_throw[] = "throw";
static const char __pyx_k_PyLine[] = "PyLine";
static const char __pyx_k_arange[] = "arange";
static const char __pyx_k_aspect[] = "aspect";
static const char __pyx_k_choice[] = "choice";
static const char __pyx_k_colors[] = "colors";
static const char __pyx_k_cycler[] = "cycler";
static const char __pyx_k_degree[] = "degree";
static const char __pyx_k_enable[] = "enable";
static const char __pyx_k_extent[] = "extent";
static const char __pyx_k_figure[] = "figure";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_imshow[] = "imshow";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_n_jobs[] = "n_jobs";
static const char __pyx_k_nlines[] = "nlines";
static const char __pyx_k_origin[] = "origin";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_points[] = "points";
static const char __pyx_k_pyplot[] = "pyplot";
static const char __pyx_k_random[] = "random";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_return[] = "return";
static const char __pyx_k_square[] = "square";
static const char __pyx_k_typing[] = "typing";
static const char __pyx_k_unique[] = "unique";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_asarray[] = "asarray";
static const char __pyx_k_barcode[] = "barcode";
static const char __pyx_k_c_euler[] = "c_euler";
static const char __pyx_k_cbounds[] = "cbounds";
static const char __pyx_k_ccoords[] = "ccoords";
static const char __pyx_k_corners[] = "corners";
static const char __pyx_k_degrees[] = "degrees";
static const char __pyx_k_disable[] = "disable";
static const char __pyx_k_factors[] = "factors";
static const char __pyx_k_figsize[] = "figsize";
static const char __pyx_k_flatten[] = "flatten";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_genexpr[] = "genexpr";
static const char __pyx_k_get_box[] = "get_box";
static const char __pyx_k_get_top[] = "get_top";
static const char __pyx_k_n_plots[] = "n_plots";
static const char __pyx_k_ndarray[] = "ndarray";
static const char __pyx_k_pmodule[] = "pmodule";
static const char __pyx_k_rescale[] = "rescale";
static const char __pyx_k_reshape[] = "reshape";
static const char __pyx_k_set_box[] = "set_box";
static const char __pyx_k_shuffle[] = "shuffle";
static const char __pyx_k_summand[] = "summand";
static const char __pyx_k_temp_st[] = "temp_st";
static const char __pyx_k_thisptr[] = "thisptr";
static const char __pyx_k_to_plot[] = "to_plot";
static const char __pyx_k_verbose[] = "verbose";
static const char __pyx_k_Iterable[] = "Iterable";
static const char __pyx_k_PyModule[] = "PyModule";
static const char __pyx_k_Spectral[] = "Spectral";
static const char __pyx_k_barcodes[] = "barcodes";
static const char __pyx_k_boundary[] = "boundary";
static const char __pyx_k_c_points[] = "c_points";
static const char __pyx_k_cdegrees[] = "cdegrees";
static const char __pyx_k_colorbar[] = "colorbar";
static const char __pyx_k_complete[] = "complete";
static const char __pyx_k_contains[] = "contains";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_linspace[] = "linspace";
static const char __pyx_k_list_int[] = "list | int";
static const char __pyx_k_meshgrid[] = "meshgrid";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_str_None[] = "str | None";
static const char __pyx_k_subplots[] = "subplots";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_PyBox_get[] = "PyBox.get";
static const char __pyx_k_PySummand[] = "PySummand";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_bandwidth[] = "bandwidth";
static const char __pyx_k_basepoint[] = "basepoint";
static const char __pyx_k_c_verbose[] = "c_verbose";
static const char __pyx_k_colormaps[] = "colormaps";
static const char __pyx_k_dimension[] = "dimension";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_factorint[] = "factorint";
static const char __pyx_k_from_dump[] = "from_dump";
static const char __pyx_k_get_birth[] = "get_birth";
static const char __pyx_k_get_death[] = "get_death";
static const char __pyx_k_isenabled[] = "isenabled";
static const char __pyx_k_landscape[] = "landscape";
static const char __pyx_k_max_error[] = "max_error";
static const char __pyx_k_normalize[] = "normalize";
static const char __pyx_k_parameter[] = "parameter";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_set_title[] = "set_title";
static const char __pyx_k_threshold[] = "threshold";
static const char __pyx_k_topCorner[] = "topCorner";
static const char __pyx_k_translate[] = "translate";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_approx_mod[] = "approx_mod";
static const char __pyx_k_basepoints[] = "basepoints";
static const char __pyx_k_c_boundary[] = "c_boundary";
static const char __pyx_k_c_complete[] = "c_complete";
static const char __pyx_k_deathpoint[] = "deathpoint";
static const char __pyx_k_euler_char[] = "euler_char";
static const char __pyx_k_filtration[] = "filtration";
static const char __pyx_k_float_None[] = "float | None";
static const char __pyx_k_get_bottom[] = "get_bottom";
static const char __pyx_k_get_bounds[] = "get_bounds";
static const char __pyx_k_get_degree[] = "get_degree";
static const char __pyx_k_get_points[] = "get_points";
static const char __pyx_k_landscapes[] = "landscapes";
static const char __pyx_k_matplotlib[] = "matplotlib";
static const char __pyx_k_max_degree[] = "max_degree";
static const char __pyx_k_n_summands[] = "n_summands";
static const char __pyx_k_np_ndarray[] = "np.ndarray";
static const char __pyx_k_parameters[] = "parameters";
static const char __pyx_k_prime_list[] = "prime_list";
static const char __pyx_k_prop_cycle[] = "prop_cycle";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_resolution[] = "resolution";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_RipsComplex[] = "RipsComplex";
static const char __pyx_k_SimplexTree[] = "SimplexTree";
static const char __pyx_k_c_max_error[] = "c_max_error";
static const char __pyx_k_c_threshold[] = "c_threshold";
static const char __pyx_k_cbasepoints[] = "cbasepoints";
static const char __pyx_k_concatenate[] = "concatenate";
static const char __pyx_k_coordinates[] = "coordinates";
static const char __pyx_k_multithread[] = "multithread";
static const char __pyx_k_nfiltration[] = "nfiltration";
static const char __pyx_k_num_degrees[] = "num_degrees";
static const char __pyx_k_persistence[] = "persistence";
static const char __pyx_k_simplextree[] = "simplextree";
static const char __pyx_k_test_module[] = "test_module";
static const char __pyx_k_translation[] = "translation";
static const char __pyx_k_Iterable_int[] = "Iterable[int]";
static const char __pyx_k_bottomCorner[] = "bottomCorner";
static const char __pyx_k_c_filtration[] = "c_filtration";
static const char __pyx_k_ctranslation[] = "ctranslation";
static const char __pyx_k_image_vector[] = "image_vector";
static const char __pyx_k_initializing[] = "_initializing";
static const char __pyx_k_is_coroutine[] = "_is_coroutine";
static const char __pyx_k_stringsource[] = "<stringsource>";
static const char __pyx_k_to_multipers[] = "to_multipers";
static const char __pyx_k_KernelDensity[] = "KernelDensity";
static const char __pyx_k_PyModule_dump[] = "PyModule.dump";
static const char __pyx_k_PyModule_plot[] = "PyModule.plot";
static const char __pyx_k_c_multithread[] = "c_multithread";
static const char __pyx_k_class_getitem[] = "__class_getitem__";
static const char __pyx_k_max_dimension[] = "max_dimension";
static const char __pyx_k_multibarcodes[] = "multibarcodes_";
static const char __pyx_k_noisy_annulus[] = "noisy_annulus";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_score_samples[] = "score_samples";
static const char __pyx_k_sympy_ntheory[] = "sympy.ntheory";
static const char __pyx_k_AssertionError[] = "AssertionError";
static const char __pyx_k_PyBox_contains[] = "PyBox.contains";
static const char __pyx_k_PyModule_image[] = "PyModule.image";
static const char __pyx_k_PyMultiDiagram[] = "PyMultiDiagram";
static const char __pyx_k_collapse_edges[] = "collapse_edges";
static const char __pyx_k_compute_pixels[] = "_compute_pixels";
static const char __pyx_k_fill_lowerstar[] = "fill_lowerstar";
static const char __pyx_k_get_birth_list[] = "get_birth_list";
static const char __pyx_k_get_death_list[] = "get_death_list";
static const char __pyx_k_ignore_warning[] = "ignore_warning";
static const char __pyx_k_num_parameters[] = "num_parameters";
static const char __pyx_k_return_timings[] = "return_timings";
static const char __pyx_k_Filtration_size[] = "Filtration size :";
static const char __pyx_k_PyMultiDiagrams[] = "PyMultiDiagrams";
static const char __pyx_k_list_np_ndarray[] = "list | np.ndarray";
static const char __pyx_k_min_persistence[] = "min_persistence";
static const char __pyx_k_multipers_plots[] = "multipers.plots";
static const char __pyx_k_perf_counter_ns[] = "perf_counter_ns";
static const char __pyx_k_plot2d_PyModule[] = "plot2d_PyModule";
static const char __pyx_k_project_on_line[] = "project_on_line";
static const char __pyx_k_rescale_factors[] = "rescale_factors";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_PyModule_barcode[] = "PyModule.barcode";
static const char __pyx_k_PyModule_get_box[] = "PyModule.get_box";
static const char __pyx_k_PyModule_get_top[] = "PyModule.get_top";
static const char __pyx_k_PyModule_rescale[] = "PyModule.rescale";
static const char __pyx_k_PyModule_set_box[] = "PyModule.set_box";
static const char __pyx_k_SimplexTreeMulti[] = "SimplexTreeMulti";
static const char __pyx_k_crescale_factors[] = "crescale_factors";
static const char __pyx_k_PyModule_barcodes[] = "PyModule.barcodes";
static const char __pyx_k_Unflatten_to_plot[] = "Unflatten to plot.";
static const char __pyx_k_filtration_bounds[] = "filtration_bounds";
static const char __pyx_k_matplotlib_pyplot[] = "matplotlib.pyplot";
static const char __pyx_k_multi_filtrations[] = "multi_filtrations";
static const char __pyx_k_sklearn_neighbors[] = "sklearn.neighbors";
static const char __pyx_k_Bad_box_definition[] = "Bad box definition.";
static const char __pyx_k_PyBox_to_multipers[] = "PyBox.to_multipers";
static const char __pyx_k_PyModule_landscape[] = "PyModule.landscape";
static const char __pyx_k_PyModule_translate[] = "PyModule.translate";
static const char __pyx_k_asyncio_coroutines[] = "asyncio.coroutines";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_2_persistence_image[] = "$ $2$-persistence image";
static const char __pyx_k_PyModule___getstate[] = "PyModule.__getstate__";
static const char __pyx_k_PyModule___setstate[] = "PyModule.__setstate__";
static const char __pyx_k_PyModule_euler_char[] = "PyModule.euler_char";
static const char __pyx_k_PyModule_get_bottom[] = "PyModule.get_bottom";
static const char __pyx_k_PyModule_get_bounds[] = "PyModule.get_bounds";
static const char __pyx_k_PyModule_landscapes[] = "PyModule.landscapes";
static const char __pyx_k_PyMultiDiagramPoint[] = "PyMultiDiagramPoint";
static const char __pyx_k_concatenated_images[] = "concatenated_images";
static const char __pyx_k_create_simplex_tree[] = "create_simplex_tree";
static const char __pyx_k_PyMultiDiagrams_plot[] = "PyMultiDiagrams.plot";
static const char __pyx_k_PySummand_get_bounds[] = "PySummand.get_bounds";
static const char __pyx_k_cboundary_filtration[] = "cboundary_filtration";
static const char __pyx_k_get_module_of_degree[] = "get_module_of_degree";
static const char __pyx_k_list_np_ndarray_None[] = "list | np.ndarray | None";
static const char __pyx_k_module_approximation[] = "module_approximation";
static const char __pyx_k_nlines_precision_box[] = "nlines_precision_box";
static const char __pyx_k_PyBox___reduce_cython[] = "PyBox.__reduce_cython__";
static const char __pyx_k_SimplexTreeMulti_None[] = "SimplexTreeMulti | None";
static const char __pyx_k_get_filtration_values[] = "get_filtration_values";
static const char __pyx_k_get_module_of_degrees[] = "get_module_of_degrees";
static const char __pyx_k_PyLine___reduce_cython[] = "PyLine.__reduce_cython__";
static const char __pyx_k_Has_to_be_a_simplextree[] = "Has to be a simplextree";
static const char __pyx_k_PyBox___setstate_cython[] = "PyBox.__setstate_cython__";
static const char __pyx_k_PyLine___setstate_cython[] = "PyLine.__setstate_cython__";
static const char __pyx_k_PyModule___reduce_cython[] = "PyModule.__reduce_cython__";
static const char __pyx_k_PyModule__compute_pixels[] = "PyModule._compute_pixels";
static const char __pyx_k_PySummand_get_birth_list[] = "PySummand.get_birth_list";
static const char __pyx_k_PySummand_get_death_list[] = "PySummand.get_death_list";
static const char __pyx_k_dump_cmod_locals_genexpr[] = "dump_cmod.<locals>.genexpr";
static const char __pyx_k_multipers_synthetic_data[] = "multipers.synthetic_data";
static const char __pyx_k_Degrees_have_to_be_sorted[] = "Degrees have to be sorted";
static const char __pyx_k_PyMultiDiagram_get_points[] = "PyMultiDiagram.get_points";
static const char __pyx_k_PySummand___reduce_cython[] = "PySummand.__reduce_cython__";
static const char __pyx_k_PyModule___setstate_cython[] = "PyModule.__setstate_cython__";
static const char __pyx_k_PyMultiDiagrams_get_points[] = "PyMultiDiagrams.get_points";
static const char __pyx_k_PyMultiDiagram_to_multipers[] = "PyMultiDiagram.to_multipers";
static const char __pyx_k_PySummand___setstate_cython[] = "PySummand.__setstate_cython__";
static const char __pyx_k_PyMultiDiagrams_to_multipers[] = "PyMultiDiagrams.to_multipers";
static const char __pyx_k_SimplexTreeMulti_SimplexTree[] = "SimplexTreeMulti | SimplexTree";
static const char __pyx_k_multipers_simplex_tree_multi[] = "multipers.simplex_tree_multi";
static const char __pyx_k_PyModule_get_module_of_degree[] = "PyModule.get_module_of_degree";
static const char __pyx_k_PyMultiDiagramPoint_get_birth[] = "PyMultiDiagramPoint.get_birth";
static const char __pyx_k_PyMultiDiagramPoint_get_death[] = "PyMultiDiagramPoint.get_death";
static const char __pyx_k_PyModule_get_filtration_values[] = "PyModule.get_filtration_values";
static const char __pyx_k_PyModule_get_module_of_degrees[] = "PyModule.get_module_of_degrees";
static const char __pyx_k_PyMultiDiagramPoint_get_degree[] = "PyMultiDiagramPoint.get_degree";
static const char __pyx_k_PyMultiDiagram___reduce_cython[] = "PyMultiDiagram.__reduce_cython__";
static const char __pyx_k_Bad_box_definition_cannot_infer[] = "Bad box definition, cannot infer num_parameters.";
static const char __pyx_k_PyMultiDiagrams___reduce_cython[] = "PyMultiDiagrams.__reduce_cython__";
static const char __pyx_k_may_be_too_high_Try_to_increase[] = ") may be too high. Try to increase the precision parameter, or set `ignore_warning=True` to compute this module. Returning the trivial module.";
static const char __pyx_k_multipers_multiparameter_module[] = "multipers.multiparameter_module_approximation";
static const char __pyx_k_self_sum_cannot_be_converted_to[] = "self.sum cannot be converted to a Python object for pickling";
static const char __pyx_k_Basepoints_has_to_be_specified_f[] = "Basepoints has to be specified for filtration dimension >= 3 !";
static const char __pyx_k_File_multipers_multiparameter_mo[] = "File: multipers/multiparameter_module_approximation.pyx (starting at line 1)\n!\n@package mma\n@brief Files containing the C++ cythonized functions.\n@author David Loiseaux\n@copyright Copyright (c) 2022 Inria.\n";
static const char __pyx_k_PyMultiDiagramPoint___reduce_cyt[] = "PyMultiDiagramPoint.__reduce_cython__";
static const char __pyx_k_PyMultiDiagramPoint___setstate_c[] = "PyMultiDiagramPoint.__setstate_cython__";
static const char __pyx_k_PyMultiDiagram___setstate_cython[] = "PyMultiDiagram.__setstate_cython__";
static const char __pyx_k_PyMultiDiagrams___setstate_cytho[] = "PyMultiDiagrams.__setstate_cython__";
static const char __pyx_k_Warning_the_number_of_lines_arou[] = "Warning : the number of lines (around ";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_self_cmod_cannot_be_converted_to[] = "self.cmod cannot be converted to a Python object for pickling";
static const char __pyx_k_self_line_cannot_be_converted_to[] = "self.line cannot be converted to a Python object for pickling";
static const char __pyx_k_self_multiDiagram_cannot_be_conv[] = "self.multiDiagram cannot be converted to a Python object for pickling";
static const char __pyx_k_self_multiDiagrams_cannot_be_con[] = "self.multiDiagrams cannot be converted to a Python object for pickling";
static const char __pyx_k_self_point_cannot_be_converted_t[] = "self.point cannot be converted to a Python object for pickling";
static const char __pyx_k_simplex_tree2boundary_filtration[] = "simplex_tree2boundary_filtrations";
static const char __pyx_k_multipers_multiparameter_module_2[] = "multipers/multiparameter_module_approximation.pyx";
/* #### Code section: decls ### */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_9PySummand_get_birth_list(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_9PySummand_2get_death_list(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_9PySummand_6degree___get__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_9PySummand_4get_bounds(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_9PySummand_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_9PySummand_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PySummand *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_9multipers_35multiparameter_module_approximation_5PyBox___cinit__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self, __pyx_t_9multipers_35multiparameter_module_approximation_corner_type __pyx_v_bottomCorner, __pyx_t_9multipers_35multiparameter_module_approximation_corner_type __pyx_v_topCorner); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_5PyBox_14num_parameters___get__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_5PyBox_2contains(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self, PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_5PyBox_4get(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_5PyBox_6to_multipers(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_5PyBox_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_5PyBox_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_19PyMultiDiagramPoint_get_degree(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_19PyMultiDiagramPoint_2get_birth(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_19PyMultiDiagramPoint_4get_death(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_19PyMultiDiagramPoint_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_19PyMultiDiagramPoint_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_14PyMultiDiagram_get_points(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_v_self, PyObject *__pyx_v_degree); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_14PyMultiDiagram_2to_multipers(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_v_self, PyObject *__pyx_v_dimension); /* proto */
static Py_ssize_t __pyx_pf_9multipers_35multiparameter_module_approximation_14PyMultiDiagram_4__len__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_14PyMultiDiagram_6__getitem__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_v_self, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_14PyMultiDiagram_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_14PyMultiDiagram_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagram *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_to_multipers(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_2__getitem__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self, PyObject *__pyx_v_i); /* proto */
static Py_ssize_t __pyx_pf_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_4__len__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_6get_points(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_degree); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_8plot(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self, PyObject *__pyx_v_degree, double __pyx_v_min_persistence); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_15PyMultiDiagrams_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyMultiDiagrams *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_6PyLine___reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyLine *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_6PyLine_2__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyLine *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_set_box(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyBox *__pyx_v_pybox); /* proto */
static struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_2get_module_of_degree(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, int __pyx_v_degree); /* proto */
static struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_4get_module_of_degrees(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_degrees); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_6_compute_pixels(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_coordinates, PyObject *__pyx_v_degrees, PyObject *__pyx_v_box, __pyx_t_9multipers_35multiparameter_module_approximation_value_type __pyx_v_delta, __pyx_t_9multipers_35multiparameter_module_approximation_value_type __pyx_v_p, bool __pyx_v_normalize, int __pyx_v_n_jobs); /* proto */
static Py_ssize_t __pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_8__len__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_10get_bottom(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_12get_top(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_14get_box(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_10max_degree___get__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_14num_parameters___get__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_16dump(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_path); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_18__getstate__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_20__setstate__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_dump); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_22__getitem__(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_i); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_24get_bounds(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_26rescale(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_rescale_factors, int __pyx_v_degree); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_28translate(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_translation, int __pyx_v_degree); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_30get_filtration_values(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_unique); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_32plot(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_degree, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_34barcode(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_basepoint, PyObject *__pyx_v_degree, PyObject *__pyx_v_threshold); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_36barcodes(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_degree, PyObject *__pyx_v_basepoints, PyObject *__pyx_v_num, PyObject *__pyx_v_box, PyObject *__pyx_v_threshold); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_38landscape(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_degree, PyObject *__pyx_v_k, PyObject *__pyx_v_box, PyObject *__pyx_v_resolution, bool __pyx_v_plot); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_40landscapes(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_degree, PyObject *__pyx_v_ks, PyObject *__pyx_v_box, PyObject *__pyx_v_resolution, bool __pyx_v_plot); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_42image(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_degrees, double __pyx_v_bandwidth, PyObject *__pyx_v_resolution, bool __pyx_v_normalize, bool __pyx_v_plot, CYTHON_UNUSED bool __pyx_v_save, CYTHON_UNUSED PyObject *__pyx_v_dpi, double __pyx_v_p, PyObject *__pyx_v_box, PyObject *__pyx_v_flatten, int __pyx_v_n_jobs, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_44euler_char(struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, PyObject *__pyx_v_points); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_46__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8PyModule_48__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_10__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_module_approximation(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_st, PyObject *__pyx_v_max_error, PyObject *__pyx_v_box, bool __pyx_v_threshold, bool __pyx_v_complete, bool __pyx_v_multithread, bool __pyx_v_verbose, bool __pyx_v_ignore_warning, PyObject *__pyx_v_nlines, PyObject *__pyx_v_max_dimension, PyObject *__pyx_v_boundary, PyObject *__pyx_v_filtration, bool __pyx_v_return_timings, CYTHON_UNUSED PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_9dump_cmod_genexpr(CYTHON_UNUSED PyObject *__pyx_self, Gudhi::multiparameter::mma::Module __pyx_genexpr_arg_0); /* proto */
static struct __pyx_obj_9multipers_35multiparameter_module_approximation_PyModule *__pyx_pf_9multipers_35multiparameter_module_approximation_2from_dump(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_dump); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_4test_module(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_kwargs); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_6nlines_precision_box(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_nlines, PyObject *__pyx_v_basepoint, PyObject *__pyx_v_scale, PyObject *__pyx_v_square); /* proto */
static PyObject *__pyx_pf_9multipers_35multiparameter_module_approximation_8simplex_tree2boundary_filtrations(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_simplextree); /* proto */
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PySummand(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PyBox(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PyMultiDiagram(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PyMultiDiagrams(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PyLine(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PyModule(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation___pyx_scope_struct__genexpr(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_get = {0, 0, 0, 0, 0};
static __Pyx_CachedCFunction __pyx_umethod_PyDict_Type_pop = {0, 0, 0, 0, 0};
static __Pyx_CachedCFunction __pyx_umethod_PyList_Type_pop = {0, 0, 0, 0, 0};
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/* #### Code section: module_state_traverse ### */
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}
#endif
/* #### Code section: module_state_defines ### */
#define __pyx_d __pyx_mstate_global->__pyx_d
#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
#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
#ifdef __Pyx_Generator_USED
#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
#endif
#ifdef __Pyx_IterableCoroutine_USED
#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#define __pyx_type_9multipers_35multiparameter_module_approximation_PySummand __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation_PySummand
#define __pyx_type_9multipers_35multiparameter_module_approximation_PyBox __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation_PyBox
#define __pyx_type_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint
#define __pyx_type_9multipers_35multiparameter_module_approximation_PyMultiDiagram __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation_PyMultiDiagram
#define __pyx_type_9multipers_35multiparameter_module_approximation_PyMultiDiagrams __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation_PyMultiDiagrams
#define __pyx_type_9multipers_35multiparameter_module_approximation_PyLine __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation_PyLine
#define __pyx_type_9multipers_35multiparameter_module_approximation_PyModule __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation_PyModule
#define __pyx_type_9multipers_35multiparameter_module_approximation___pyx_scope_struct__genexpr __pyx_mstate_global->__pyx_type_9multipers_35multiparameter_module_approximation___pyx_scope_struct__genexpr
#endif
#define __pyx_ptype_9multipers_35multiparameter_module_approximation_PySummand __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation_PySummand
#define __pyx_ptype_9multipers_35multiparameter_module_approximation_PyBox __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation_PyBox
#define __pyx_ptype_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation_PyMultiDiagramPoint
#define __pyx_ptype_9multipers_35multiparameter_module_approximation_PyMultiDiagram __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation_PyMultiDiagram
#define __pyx_ptype_9multipers_35multiparameter_module_approximation_PyMultiDiagrams __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation_PyMultiDiagrams
#define __pyx_ptype_9multipers_35multiparameter_module_approximation_PyLine __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation_PyLine
#define __pyx_ptype_9multipers_35multiparameter_module_approximation_PyModule __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation_PyModule
#define __pyx_ptype_9multipers_35multiparameter_module_approximation___pyx_scope_struct__genexpr __pyx_mstate_global->__pyx_ptype_9multipers_35multiparameter_module_approximation___pyx_scope_struct__genexpr
#define __pyx_kp_u_2 __pyx_mstate_global->__pyx_kp_u_2
#define __pyx_kp_u_2_persistence_image __pyx_mstate_global->__pyx_kp_u_2_persistence_image
#define __pyx_n_s_AssertionError __pyx_mstate_global->__pyx_n_s_AssertionError
#define __pyx_kp_u_Bad_box_definition __pyx_mstate_global->__pyx_kp_u_Bad_box_definition
#define __pyx_kp_u_Bad_box_definition_cannot_infer __pyx_mstate_global->__pyx_kp_u_Bad_box_definition_cannot_infer
#define __pyx_kp_u_Basepoints_has_to_be_specified_f __pyx_mstate_global->__pyx_kp_u_Basepoints_has_to_be_specified_f
#define __pyx_kp_u_Degrees_have_to_be_sorted __pyx_mstate_global->__pyx_kp_u_Degrees_have_to_be_sorted
#define __pyx_n_u_F __pyx_mstate_global->__pyx_n_u_F
#define __pyx_kp_u_Filtration_size __pyx_mstate_global->__pyx_kp_u_Filtration_size
#define __pyx_kp_u_H __pyx_mstate_global->__pyx_kp_u_H
#define __pyx_kp_u_Has_to_be_a_simplextree __pyx_mstate_global->__pyx_kp_u_Has_to_be_a_simplextree
#define __pyx_n_s_Iterable __pyx_mstate_global->__pyx_n_s_Iterable
#define __pyx_kp_s_Iterable_int __pyx_mstate_global->__pyx_kp_s_Iterable_int
#define __pyx_n_s_KernelDensity __pyx_mstate_global->__pyx_n_s_KernelDensity
#define __pyx_n_s_List __pyx_mstate_global->__pyx_n_s_List
#define __pyx_n_s_M __pyx_mstate_global->__pyx_n_s_M
#define __pyx_n_s_MemoryError __pyx_mstate_global->__pyx_n_s_MemoryError
#define __pyx_n_s_None __pyx_mstate_global->__pyx_n_s_None
#define __pyx_n_s_PyBox __pyx_mstate_global->__pyx_n_s_PyBox
#define __pyx_n_s_PyBox___reduce_cython __pyx_mstate_global->__pyx_n_s_PyBox___reduce_cython
#define __pyx_n_s_PyBox___setstate_cython __pyx_mstate_global->__pyx_n_s_PyBox___setstate_cython
#define __pyx_n_s_PyBox_contains __pyx_mstate_global->__pyx_n_s_PyBox_contains
#define __pyx_n_s_PyBox_get __pyx_mstate_global->__pyx_n_s_PyBox_get
#define __pyx_n_s_PyBox_to_multipers __pyx_mstate_global->__pyx_n_s_PyBox_to_multipers
#define __pyx_n_s_PyLine __pyx_mstate_global->__pyx_n_s_PyLine
#define __pyx_n_s_PyLine___reduce_cython __pyx_mstate_global->__pyx_n_s_PyLine___reduce_cython
#define __pyx_n_s_PyLine___setstate_cython __pyx_mstate_global->__pyx_n_s_PyLine___setstate_cython
#define __pyx_n_s_PyModule __pyx_mstate_global->__pyx_n_s_PyModule
#define __pyx_n_s_PyModule___getstate __pyx_mstate_global->__pyx_n_s_PyModule___getstate
#define __pyx_n_s_PyModule___reduce_cython __pyx_mstate_global->__pyx_n_s_PyModule___reduce_cython
#define __pyx_n_s_PyModule___setstate __pyx_mstate_global->__pyx_n_s_PyModule___setstate
#define __pyx_n_s_PyModule___setstate_cython __pyx_mstate_global->__pyx_n_s_PyModule___setstate_cython
#define __pyx_n_s_PyModule__compute_pixels __pyx_mstate_global->__pyx_n_s_PyModule__compute_pixels
#define __pyx_n_s_PyModule_barcode __pyx_mstate_global->__pyx_n_s_PyModule_barcode
#define __pyx_n_s_PyModule_barcodes __pyx_mstate_global->__pyx_n_s_PyModule_barcodes
#define __pyx_n_s_PyModule_dump __pyx_mstate_global->__pyx_n_s_PyModule_dump
#define __pyx_n_s_PyModule_euler_char __pyx_mstate_global->__pyx_n_s_PyModule_euler_char
#define __pyx_n_s_PyModule_get_bottom __pyx_mstate_global->__pyx_n_s_PyModule_get_bottom
#define __pyx_n_s_PyModule_get_bounds __pyx_mstate_global->__pyx_n_s_PyModule_get_bounds
#define __pyx_n_s_PyModule_get_box __pyx_mstate_global->__pyx_n_s_PyModule_get_box
#define __pyx_n_s_PyModule_get_filtration_values __pyx_mstate_global->__pyx_n_s_PyModule_get_filtration_values
#define __pyx_n_s_PyModule_get_module_of_degree __pyx_mstate_global->__pyx_n_s_PyModule_get_module_of_degree
#define __pyx_n_s_PyModule_get_module_of_degrees __pyx_mstate_global->__pyx_n_s_PyModule_get_module_of_degrees
#define __pyx_n_s_PyModule_get_top __pyx_mstate_global->__pyx_n_s_PyModule_get_top
#define __pyx_n_s_PyModule_image __pyx_mstate_global->__pyx_n_s_PyModule_image
#define __pyx_n_s_PyModule_landscape __pyx_mstate_global->__pyx_n_s_PyModule_landscape
#define __pyx_n_s_PyModule_landscapes __pyx_mstate_global->__pyx_n_s_PyModule_landscapes
#define __pyx_n_s_PyModule_plot __pyx_mstate_global->__pyx_n_s_PyModule_plot
#define __pyx_n_s_PyModule_rescale __pyx_mstate_global->__pyx_n_s_PyModule_rescale
#define __pyx_n_s_PyModule_set_box __pyx_mstate_global->__pyx_n_s_PyModule_set_box
#define __pyx_n_s_PyModule_translate __pyx_mstate_global->__pyx_n_s_PyModule_translate
#define __pyx_n_s_PyMultiDiagram __pyx_mstate_global->__pyx_n_s_PyMultiDiagram
#define __pyx_n_s_PyMultiDiagramPoint __pyx_mstate_global->__pyx_n_s_PyMultiDiagramPoint
#define __pyx_n_s_PyMultiDiagramPoint___reduce_cyt __pyx_mstate_global->__pyx_n_s_PyMultiDiagramPoint___reduce_cyt
#define __pyx_n_s_PyMultiDiagramPoint___setstate_c __pyx_mstate_global->__pyx_n_s_PyMultiDiagramPoint___setstate_c
#define __pyx_n_s_PyMultiDiagramPoint_get_birth __pyx_mstate_global->__pyx_n_s_PyMultiDiagramPoint_get_birth
#define __pyx_n_s_PyMultiDiagramPoint_get_death __pyx_mstate_global->__pyx_n_s_PyMultiDiagramPoint_get_death
#define __pyx_n_s_PyMultiDiagramPoint_get_degree __pyx_mstate_global->__pyx_n_s_PyMultiDiagramPoint_get_degree
#define __pyx_n_s_PyMultiDiagram___reduce_cython __pyx_mstate_global->__pyx_n_s_PyMultiDiagram___reduce_cython
#define __pyx_n_s_PyMultiDiagram___setstate_cython __pyx_mstate_global->__pyx_n_s_PyMultiDiagram___setstate_cython
#define __pyx_n_s_PyMultiDiagram_get_points __pyx_mstate_global->__pyx_n_s_PyMultiDiagram_get_points
#define __pyx_n_s_PyMultiDiagram_to_multipers __pyx_mstate_global->__pyx_n_s_PyMultiDiagram_to_multipers
#define __pyx_n_s_PyMultiDiagrams __pyx_mstate_global->__pyx_n_s_PyMultiDiagrams
#define __pyx_n_s_PyMultiDiagrams___reduce_cython __pyx_mstate_global->__pyx_n_s_PyMultiDiagrams___reduce_cython
#define __pyx_n_s_PyMultiDiagrams___setstate_cytho __pyx_mstate_global->__pyx_n_s_PyMultiDiagrams___setstate_cytho
#define __pyx_n_s_PyMultiDiagrams_get_points __pyx_mstate_global->__pyx_n_s_PyMultiDiagrams_get_points
#define __pyx_n_s_PyMultiDiagrams_plot __pyx_mstate_global->__pyx_n_s_PyMultiDiagrams_plot
#define __pyx_n_s_PyMultiDiagrams_to_multipers __pyx_mstate_global->__pyx_n_s_PyMultiDiagrams_to_multipers
#define __pyx_n_s_PySummand __pyx_mstate_global->__pyx_n_s_PySummand
#define __pyx_n_s_PySummand___reduce_cython __pyx_mstate_global->__pyx_n_s_PySummand___reduce_cython
#define __pyx_n_s_PySummand___setstate_cython __pyx_mstate_global->__pyx_n_s_PySummand___setstate_cython
#define __pyx_n_s_PySummand_get_birth_list __pyx_mstate_global->__pyx_n_s_PySummand_get_birth_list
#define __pyx_n_s_PySummand_get_bounds __pyx_mstate_global->__pyx_n_s_PySummand_get_bounds
#define __pyx_n_s_PySummand_get_death_list __pyx_mstate_global->__pyx_n_s_PySummand_get_death_list
#define __pyx_n_s_RipsComplex __pyx_mstate_global->__pyx_n_s_RipsComplex
#define __pyx_n_s_SimplexTree __pyx_mstate_global->__pyx_n_s_SimplexTree
#define __pyx_n_s_SimplexTreeMulti __pyx_mstate_global->__pyx_n_s_SimplexTreeMulti
#define __pyx_kp_s_SimplexTreeMulti_None __pyx_mstate_global->__pyx_kp_s_SimplexTreeMulti_None
#define __pyx_kp_s_SimplexTreeMulti_SimplexTree __pyx_mstate_global->__pyx_kp_s_SimplexTreeMulti_SimplexTree
#define __pyx_n_u_Spectral __pyx_mstate_global->__pyx_n_u_Spectral
#define __pyx_n_s_T __pyx_mstate_global->__pyx_n_s_T
#define __pyx_n_s_TypeError __pyx_mstate_global->__pyx_n_s_TypeError
#define __pyx_kp_u_Unflatten_to_plot __pyx_mstate_global->__pyx_kp_u_Unflatten_to_plot
#define __pyx_n_s_ValueError __pyx_mstate_global->__pyx_n_s_ValueError
#define __pyx_kp_u_Warning_the_number_of_lines_arou __pyx_mstate_global->__pyx_kp_u_Warning_the_number_of_lines_arou
#define __pyx_n_s__10 __pyx_mstate_global->__pyx_n_s__10
#define __pyx_n_s__112 __pyx_mstate_global->__pyx_n_s__112
#define __pyx_kp_u__9 __pyx_mstate_global->__pyx_kp_u__9
#define __pyx_n_s_a __pyx_mstate_global->__pyx_n_s_a
#define __pyx_n_s_all __pyx_mstate_global->__pyx_n_s_all
#define __pyx_n_s_approx_mod __pyx_mstate_global->__pyx_n_s_approx_mod
#define __pyx_n_s_arange __pyx_mstate_global->__pyx_n_s_arange
#define __pyx_n_s_args __pyx_mstate_global->__pyx_n_s_args
#define __pyx_n_s_array __pyx_mstate_global->__pyx_n_s_array
#define __pyx_n_s_asarray __pyx_mstate_global->__pyx_n_s_asarray
#define __pyx_n_s_aspect __pyx_mstate_global->__pyx_n_s_aspect
#define __pyx_n_s_asyncio_coroutines __pyx_mstate_global->__pyx_n_s_asyncio_coroutines
#define __pyx_n_s_ax __pyx_mstate_global->__pyx_n_s_ax
#define __pyx_n_s_axes __pyx_mstate_global->__pyx_n_s_axes
#define __pyx_n_u_axes __pyx_mstate_global->__pyx_n_u_axes
#define __pyx_n_s_axis __pyx_mstate_global->__pyx_n_s_axis
#define __pyx_n_s_axs __pyx_mstate_global->__pyx_n_s_axs
#define __pyx_n_s_b __pyx_mstate_global->__pyx_n_s_b
#define __pyx_n_s_bandwidth __pyx_mstate_global->__pyx_n_s_bandwidth
#define __pyx_n_s_barcode __pyx_mstate_global->__pyx_n_s_barcode
#define __pyx_n_s_barcodes __pyx_mstate_global->__pyx_n_s_barcodes
#define __pyx_n_s_basepoint __pyx_mstate_global->__pyx_n_s_basepoint
#define __pyx_n_s_basepoints __pyx_mstate_global->__pyx_n_s_basepoints
#define __pyx_n_s_bool __pyx_mstate_global->__pyx_n_s_bool
#define __pyx_n_s_bottomCorner __pyx_mstate_global->__pyx_n_s_bottomCorner
#define __pyx_n_s_boundary __pyx_mstate_global->__pyx_n_s_boundary
#define __pyx_n_s_box __pyx_mstate_global->__pyx_n_s_box
#define __pyx_n_u_box __pyx_mstate_global->__pyx_n_u_box
#define __pyx_n_s_c_boundary __pyx_mstate_global->__pyx_n_s_c_boundary
#define __pyx_n_s_c_box __pyx_mstate_global->__pyx_n_s_c_box
#define __pyx_n_s_c_complete __pyx_mstate_global->__pyx_n_s_c_complete
#define __pyx_n_s_c_euler __pyx_mstate_global->__pyx_n_s_c_euler
#define __pyx_n_s_c_filtration __pyx_mstate_global->__pyx_n_s_c_filtration
#define __pyx_n_s_c_max_error __pyx_mstate_global->__pyx_n_s_c_max_error
#define __pyx_n_s_c_mod __pyx_mstate_global->__pyx_n_s_c_mod
#define __pyx_n_s_c_multithread __pyx_mstate_global->__pyx_n_s_c_multithread
#define __pyx_n_s_c_points __pyx_mstate_global->__pyx_n_s_c_points
#define __pyx_n_s_c_threshold __pyx_mstate_global->__pyx_n_s_c_threshold
#define __pyx_n_s_c_verbose __pyx_mstate_global->__pyx_n_s_c_verbose
#define __pyx_n_u_cb __pyx_mstate_global->__pyx_n_u_cb
#define __pyx_n_s_cbasepoints __pyx_mstate_global->__pyx_n_s_cbasepoints
#define __pyx_n_s_cboundary_filtration __pyx_mstate_global->__pyx_n_s_cboundary_filtration
#define __pyx_n_s_cbounds __pyx_mstate_global->__pyx_n_s_cbounds
#define __pyx_n_s_cbox __pyx_mstate_global->__pyx_n_s_cbox
#define __pyx_n_s_ccoords __pyx_mstate_global->__pyx_n_s_ccoords
#define __pyx_n_s_cdegrees __pyx_mstate_global->__pyx_n_s_cdegrees
#define __pyx_n_s_choice __pyx_mstate_global->__pyx_n_s_choice
#define __pyx_n_s_class_getitem __pyx_mstate_global->__pyx_n_s_class_getitem
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_close __pyx_mstate_global->__pyx_n_s_close
#define __pyx_n_s_cmap __pyx_mstate_global->__pyx_n_s_cmap
#define __pyx_n_s_cmod __pyx_mstate_global->__pyx_n_s_cmod
#define __pyx_n_s_collapse_edges __pyx_mstate_global->__pyx_n_s_collapse_edges
#define __pyx_n_u_color __pyx_mstate_global->__pyx_n_u_color
#define __pyx_n_s_colorbar __pyx_mstate_global->__pyx_n_s_colorbar
#define __pyx_n_u_colorbar __pyx_mstate_global->__pyx_n_u_colorbar
#define __pyx_n_s_colormaps __pyx_mstate_global->__pyx_n_s_colormaps
#define __pyx_n_s_colors __pyx_mstate_global->__pyx_n_s_colors
#define __pyx_n_s_complete __pyx_mstate_global->__pyx_n_s_complete
#define __pyx_n_s_compute_pixels __pyx_mstate_global->__pyx_n_s_compute_pixels
#define __pyx_n_s_concatenate __pyx_mstate_global->__pyx_n_s_concatenate
#define __pyx_n_s_concatenated_images __pyx_mstate_global->__pyx_n_s_concatenated_images
#define __pyx_n_s_contains __pyx_mstate_global->__pyx_n_s_contains
#define __pyx_n_s_coordinates __pyx_mstate_global->__pyx_n_s_coordinates
#define __pyx_n_s_copy __pyx_mstate_global->__pyx_n_s_copy
#define __pyx_n_s_corners __pyx_mstate_global->__pyx_n_s_corners
#define __pyx_n_s_cptr __pyx_mstate_global->__pyx_n_s_cptr
#define __pyx_n_s_create_simplex_tree __pyx_mstate_global->__pyx_n_s_create_simplex_tree
#define __pyx_n_s_crescale_factors __pyx_mstate_global->__pyx_n_s_crescale_factors
#define __pyx_n_s_ctranslation __pyx_mstate_global->__pyx_n_s_ctranslation
#define __pyx_n_s_cycler __pyx_mstate_global->__pyx_n_s_cycler
#define __pyx_n_s_d __pyx_mstate_global->__pyx_n_s_d
#define __pyx_n_s_deathpoint __pyx_mstate_global->__pyx_n_s_deathpoint
#define __pyx_n_s_degree __pyx_mstate_global->__pyx_n_s_degree
#define __pyx_n_s_degrees __pyx_mstate_global->__pyx_n_s_degrees
#define __pyx_n_s_delta __pyx_mstate_global->__pyx_n_s_delta
#define __pyx_n_s_dim __pyx_mstate_global->__pyx_n_s_dim
#define __pyx_n_s_dimension __pyx_mstate_global->__pyx_n_s_dimension
#define __pyx_kp_u_disable __pyx_mstate_global->__pyx_kp_u_disable
#define __pyx_n_s_dpi __pyx_mstate_global->__pyx_n_s_dpi
#define __pyx_n_s_dtype __pyx_mstate_global->__pyx_n_s_dtype
#define __pyx_n_s_dump __pyx_mstate_global->__pyx_n_s_dump
#define __pyx_n_s_dump_cmod_locals_genexpr __pyx_mstate_global->__pyx_n_s_dump_cmod_locals_genexpr
#define __pyx_n_s_empty __pyx_mstate_global->__pyx_n_s_empty
#define __pyx_kp_u_enable __pyx_mstate_global->__pyx_kp_u_enable
#define __pyx_n_s_enumerate __pyx_mstate_global->__pyx_n_s_enumerate
#define __pyx_n_s_euler __pyx_mstate_global->__pyx_n_s_euler
#define __pyx_n_s_euler_char __pyx_mstate_global->__pyx_n_s_euler_char
#define __pyx_n_s_extent __pyx_mstate_global->__pyx_n_s_extent
#define __pyx_n_s_f __pyx_mstate_global->__pyx_n_s_f
#define __pyx_n_s_f2 __pyx_mstate_global->__pyx_n_s_f2
#define __pyx_n_s_factorint __pyx_mstate_global->__pyx_n_s_factorint
#define __pyx_n_s_factors __pyx_mstate_global->__pyx_n_s_factors
#define __pyx_n_s_fig __pyx_mstate_global->__pyx_n_s_fig
#define __pyx_n_s_figsize __pyx_mstate_global->__pyx_n_s_figsize
#define __pyx_n_s_figure __pyx_mstate_global->__pyx_n_s_figure
#define __pyx_n_s_fill_lowerstar __pyx_mstate_global->__pyx_n_s_fill_lowerstar
#define __pyx_n_s_filtration __pyx_mstate_global->__pyx_n_s_filtration
#define __pyx_n_s_filtration_bounds __pyx_mstate_global->__pyx_n_s_filtration_bounds
#define __pyx_n_s_fit __pyx_mstate_global->__pyx_n_s_fit
#define __pyx_n_s_flatten __pyx_mstate_global->__pyx_n_s_flatten
#define __pyx_n_s_float __pyx_mstate_global->__pyx_n_s_float
#define __pyx_n_s_float64 __pyx_mstate_global->__pyx_n_s_float64
#define __pyx_kp_s_float_None __pyx_mstate_global->__pyx_kp_s_float_None
#define __pyx_n_s_from_dump __pyx_mstate_global->__pyx_n_s_from_dump
#define __pyx_n_s_full __pyx_mstate_global->__pyx_n_s_full
#define __pyx_kp_u_gc __pyx_mstate_global->__pyx_kp_u_gc
#define __pyx_n_s_gd __pyx_mstate_global->__pyx_n_s_gd
#define __pyx_n_s_genexpr __pyx_mstate_global->__pyx_n_s_genexpr
#define __pyx_n_s_get __pyx_mstate_global->__pyx_n_s_get
#define __pyx_n_s_get_birth __pyx_mstate_global->__pyx_n_s_get_birth
#define __pyx_n_s_get_birth_list __pyx_mstate_global->__pyx_n_s_get_birth_list
#define __pyx_n_s_get_bottom __pyx_mstate_global->__pyx_n_s_get_bottom
#define __pyx_n_s_get_bounds __pyx_mstate_global->__pyx_n_s_get_bounds
#define __pyx_n_s_get_box __pyx_mstate_global->__pyx_n_s_get_box
#define __pyx_n_s_get_death __pyx_mstate_global->__pyx_n_s_get_death
#define __pyx_n_s_get_death_list __pyx_mstate_global->__pyx_n_s_get_death_list
#define __pyx_n_s_get_degree __pyx_mstate_global->__pyx_n_s_get_degree
#define __pyx_n_s_get_filtration_values __pyx_mstate_global->__pyx_n_s_get_filtration_values
#define __pyx_n_s_get_module_of_degree __pyx_mstate_global->__pyx_n_s_get_module_of_degree
#define __pyx_n_s_get_module_of_degrees __pyx_mstate_global->__pyx_n_s_get_module_of_degrees
#define __pyx_n_s_get_points __pyx_mstate_global->__pyx_n_s_get_points
#define __pyx_n_s_get_top __pyx_mstate_global->__pyx_n_s_get_top
#define __pyx_n_s_getstate __pyx_mstate_global->__pyx_n_s_getstate
#define __pyx_n_s_gudhi __pyx_mstate_global->__pyx_n_s_gudhi
#define __pyx_n_s_h __pyx_mstate_global->__pyx_n_s_h
#define __pyx_n_s_i __pyx_mstate_global->__pyx_n_s_i
#define __pyx_n_s_ignore_warning __pyx_mstate_global->__pyx_n_s_ignore_warning
#define __pyx_n_s_image __pyx_mstate_global->__pyx_n_s_image
#define __pyx_n_s_image_vector __pyx_mstate_global->__pyx_n_s_image_vector
#define __pyx_n_s_import __pyx_mstate_global->__pyx_n_s_import
#define __pyx_n_s_imshow __pyx_mstate_global->__pyx_n_s_imshow
#define __pyx_n_s_inf __pyx_mstate_global->__pyx_n_s_inf
#define __pyx_n_s_initializing __pyx_mstate_global->__pyx_n_s_initializing
#define __pyx_n_s_int __pyx_mstate_global->__pyx_n_s_int
#define __pyx_n_s_is_coroutine __pyx_mstate_global->__pyx_n_s_is_coroutine
#define __pyx_kp_u_isenabled __pyx_mstate_global->__pyx_kp_u_isenabled
#define __pyx_n_s_items __pyx_mstate_global->__pyx_n_s_items
#define __pyx_n_s_k __pyx_mstate_global->__pyx_n_s_k
#define __pyx_n_s_kde __pyx_mstate_global->__pyx_n_s_kde
#define __pyx_n_s_ks __pyx_mstate_global->__pyx_n_s_ks
#define __pyx_n_s_kwargs __pyx_mstate_global->__pyx_n_s_kwargs
#define __pyx_n_s_landscape __pyx_mstate_global->__pyx_n_s_landscape
#define __pyx_n_s_landscapes __pyx_mstate_global->__pyx_n_s_landscapes
#define __pyx_n_s_linspace __pyx_mstate_global->__pyx_n_s_linspace
#define __pyx_n_s_list __pyx_mstate_global->__pyx_n_s_list
#define __pyx_kp_s_list_int __pyx_mstate_global->__pyx_kp_s_list_int
#define __pyx_kp_s_list_np_ndarray __pyx_mstate_global->__pyx_kp_s_list_np_ndarray
#define __pyx_kp_s_list_np_ndarray_None __pyx_mstate_global->__pyx_kp_s_list_np_ndarray_None
#define __pyx_n_s_load __pyx_mstate_global->__pyx_n_s_load
#define __pyx_n_u_lower __pyx_mstate_global->__pyx_n_u_lower
#define __pyx_n_s_m __pyx_mstate_global->__pyx_n_s_m
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_matplotlib __pyx_mstate_global->__pyx_n_s_matplotlib
#define __pyx_n_s_matplotlib_pyplot __pyx_mstate_global->__pyx_n_s_matplotlib_pyplot
#define __pyx_n_s_max __pyx_mstate_global->__pyx_n_s_max
#define __pyx_n_s_max_degree __pyx_mstate_global->__pyx_n_s_max_degree
#define __pyx_n_s_max_dimension __pyx_mstate_global->__pyx_n_s_max_dimension
#define __pyx_n_s_max_error __pyx_mstate_global->__pyx_n_s_max_error
#define __pyx_kp_u_may_be_too_high_Try_to_increase __pyx_mstate_global->__pyx_kp_u_may_be_too_high_Try_to_increase
#define __pyx_n_s_mesh __pyx_mstate_global->__pyx_n_s_mesh
#define __pyx_n_s_meshgrid __pyx_mstate_global->__pyx_n_s_meshgrid
#define __pyx_n_s_min __pyx_mstate_global->__pyx_n_s_min
#define __pyx_n_s_min_persistence __pyx_mstate_global->__pyx_n_s_min_persistence
#define __pyx_n_s_mod __pyx_mstate_global->__pyx_n_s_mod
#define __pyx_n_s_module_approximation __pyx_mstate_global->__pyx_n_s_module_approximation
#define __pyx_n_s_multi_filtrations __pyx_mstate_global->__pyx_n_s_multi_filtrations
#define __pyx_n_s_multibarcodes __pyx_mstate_global->__pyx_n_s_multibarcodes
#define __pyx_n_s_multipers_multiparameter_module __pyx_mstate_global->__pyx_n_s_multipers_multiparameter_module
#define __pyx_kp_s_multipers_multiparameter_module_2 __pyx_mstate_global->__pyx_kp_s_multipers_multiparameter_module_2
#define __pyx_n_s_multipers_plots __pyx_mstate_global->__pyx_n_s_multipers_plots
#define __pyx_n_s_multipers_simplex_tree_multi __pyx_mstate_global->__pyx_n_s_multipers_simplex_tree_multi
#define __pyx_n_s_multipers_synthetic_data __pyx_mstate_global->__pyx_n_s_multipers_synthetic_data
#define __pyx_n_s_multithread __pyx_mstate_global->__pyx_n_s_multithread
#define __pyx_n_s_n __pyx_mstate_global->__pyx_n_s_n
#define __pyx_n_s_n_jobs __pyx_mstate_global->__pyx_n_s_n_jobs
#define __pyx_n_s_n_plots __pyx_mstate_global->__pyx_n_s_n_plots
#define __pyx_n_s_n_summands __pyx_mstate_global->__pyx_n_s_n_summands
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_n_s_ndarray __pyx_mstate_global->__pyx_n_s_ndarray
#define __pyx_n_s_ndim __pyx_mstate_global->__pyx_n_s_ndim
#define __pyx_n_s_nfiltration __pyx_mstate_global->__pyx_n_s_nfiltration
#define __pyx_n_s_nlines __pyx_mstate_global->__pyx_n_s_nlines
#define __pyx_n_s_nlines_precision_box __pyx_mstate_global->__pyx_n_s_nlines_precision_box
#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_noisy_annulus __pyx_mstate_global->__pyx_n_s_noisy_annulus
#define __pyx_n_s_normalize __pyx_mstate_global->__pyx_n_s_normalize
#define __pyx_n_s_np __pyx_mstate_global->__pyx_n_s_np
#define __pyx_kp_s_np_ndarray __pyx_mstate_global->__pyx_kp_s_np_ndarray
#define __pyx_n_s_nsplx __pyx_mstate_global->__pyx_n_s_nsplx
#define __pyx_n_s_num __pyx_mstate_global->__pyx_n_s_num
#define __pyx_n_s_num_degrees __pyx_mstate_global->__pyx_n_s_num_degrees
#define __pyx_n_s_num_parameters __pyx_mstate_global->__pyx_n_s_num_parameters
#define __pyx_n_s_numpy __pyx_mstate_global->__pyx_n_s_numpy
#define __pyx_n_s_open __pyx_mstate_global->__pyx_n_s_open
#define __pyx_n_s_order __pyx_mstate_global->__pyx_n_s_order
#define __pyx_n_s_origin __pyx_mstate_global->__pyx_n_s_origin
#define __pyx_n_s_out __pyx_mstate_global->__pyx_n_s_out
#define __pyx_n_s_p __pyx_mstate_global->__pyx_n_s_p
#define __pyx_n_s_parameter __pyx_mstate_global->__pyx_n_s_parameter
#define __pyx_n_s_parameters __pyx_mstate_global->__pyx_n_s_parameters
#define __pyx_n_s_path __pyx_mstate_global->__pyx_n_s_path
#define __pyx_n_s_perf_counter_ns __pyx_mstate_global->__pyx_n_s_perf_counter_ns
#define __pyx_n_s_persistence __pyx_mstate_global->__pyx_n_s_persistence
#define __pyx_n_s_pickle __pyx_mstate_global->__pyx_n_s_pickle
#define __pyx_n_s_pk __pyx_mstate_global->__pyx_n_s_pk
#define __pyx_n_s_plot __pyx_mstate_global->__pyx_n_s_plot
#define __pyx_n_s_plot2d_PyModule __pyx_mstate_global->__pyx_n_s_plot2d_PyModule
#define __pyx_n_s_plt __pyx_mstate_global->__pyx_n_s_plt
#define __pyx_n_s_pmodule __pyx_mstate_global->__pyx_n_s_pmodule
#define __pyx_n_s_points __pyx_mstate_global->__pyx_n_s_points
#define __pyx_n_s_pop __pyx_mstate_global->__pyx_n_s_pop
#define __pyx_n_s_prime __pyx_mstate_global->__pyx_n_s_prime
#define __pyx_n_s_prime_list __pyx_mstate_global->__pyx_n_s_prime_list
#define __pyx_n_s_print __pyx_mstate_global->__pyx_n_s_print
#define __pyx_n_s_prod __pyx_mstate_global->__pyx_n_s_prod
#define __pyx_n_s_project_on_line __pyx_mstate_global->__pyx_n_s_project_on_line
#define __pyx_n_s_prop_cycle __pyx_mstate_global->__pyx_n_s_prop_cycle
#define __pyx_n_s_pybox __pyx_mstate_global->__pyx_n_s_pybox
#define __pyx_n_s_pyplot __pyx_mstate_global->__pyx_n_s_pyplot
#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_random __pyx_mstate_global->__pyx_n_s_random
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_u_rb __pyx_mstate_global->__pyx_n_u_rb
#define __pyx_n_s_rc __pyx_mstate_global->__pyx_n_s_rc
#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_res __pyx_mstate_global->__pyx_n_s_res
#define __pyx_n_s_rescale __pyx_mstate_global->__pyx_n_s_rescale
#define __pyx_n_s_rescale_factors __pyx_mstate_global->__pyx_n_s_rescale_factors
#define __pyx_n_s_reshape __pyx_mstate_global->__pyx_n_s_reshape
#define __pyx_n_s_resolution __pyx_mstate_global->__pyx_n_s_resolution
#define __pyx_n_s_return __pyx_mstate_global->__pyx_n_s_return
#define __pyx_n_s_return_timings __pyx_mstate_global->__pyx_n_s_return_timings
#define __pyx_n_s_round __pyx_mstate_global->__pyx_n_s_round
#define __pyx_n_s_save __pyx_mstate_global->__pyx_n_s_save
#define __pyx_n_s_sca __pyx_mstate_global->__pyx_n_s_sca
#define __pyx_n_s_scale __pyx_mstate_global->__pyx_n_s_scale
#define __pyx_n_u_scale __pyx_mstate_global->__pyx_n_u_scale
#define __pyx_n_s_score_samples __pyx_mstate_global->__pyx_n_s_score_samples
#define __pyx_n_s_self __pyx_mstate_global->__pyx_n_s_self
#define __pyx_kp_s_self_cmod_cannot_be_converted_to __pyx_mstate_global->__pyx_kp_s_self_cmod_cannot_be_converted_to
#define __pyx_kp_s_self_line_cannot_be_converted_to __pyx_mstate_global->__pyx_kp_s_self_line_cannot_be_converted_to
#define __pyx_kp_s_self_multiDiagram_cannot_be_conv __pyx_mstate_global->__pyx_kp_s_self_multiDiagram_cannot_be_conv
#define __pyx_kp_s_self_multiDiagrams_cannot_be_con __pyx_mstate_global->__pyx_kp_s_self_multiDiagrams_cannot_be_con
#define __pyx_kp_s_self_point_cannot_be_converted_t __pyx_mstate_global->__pyx_kp_s_self_point_cannot_be_converted_t
#define __pyx_kp_s_self_sum_cannot_be_converted_to __pyx_mstate_global->__pyx_kp_s_self_sum_cannot_be_converted_to
#define __pyx_n_s_send __pyx_mstate_global->__pyx_n_s_send
#define __pyx_n_s_set_box __pyx_mstate_global->__pyx_n_s_set_box
#define __pyx_n_s_set_title __pyx_mstate_global->__pyx_n_s_set_title
#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_shape __pyx_mstate_global->__pyx_n_s_shape
#define __pyx_n_s_shuffle __pyx_mstate_global->__pyx_n_s_shuffle
#define __pyx_n_s_simplex_tree2boundary_filtration __pyx_mstate_global->__pyx_n_s_simplex_tree2boundary_filtration
#define __pyx_n_s_simplextree __pyx_mstate_global->__pyx_n_s_simplextree
#define __pyx_n_u_size __pyx_mstate_global->__pyx_n_u_size
#define __pyx_n_s_sklearn_neighbors __pyx_mstate_global->__pyx_n_s_sklearn_neighbors
#define __pyx_n_s_spec __pyx_mstate_global->__pyx_n_s_spec
#define __pyx_n_s_square __pyx_mstate_global->__pyx_n_s_square
#define __pyx_n_s_st __pyx_mstate_global->__pyx_n_s_st
#define __pyx_kp_s_str_None __pyx_mstate_global->__pyx_kp_s_str_None
#define __pyx_kp_s_stringsource __pyx_mstate_global->__pyx_kp_s_stringsource
#define __pyx_n_s_stuff __pyx_mstate_global->__pyx_n_s_stuff
#define __pyx_n_s_subplots __pyx_mstate_global->__pyx_n_s_subplots
#define __pyx_n_s_sum __pyx_mstate_global->__pyx_n_s_sum
#define __pyx_n_s_summand __pyx_mstate_global->__pyx_n_s_summand
#define __pyx_n_s_sympy_ntheory __pyx_mstate_global->__pyx_n_s_sympy_ntheory
#define __pyx_n_s_t __pyx_mstate_global->__pyx_n_s_t
#define __pyx_n_s_temp __pyx_mstate_global->__pyx_n_s_temp
#define __pyx_n_s_temp_st __pyx_mstate_global->__pyx_n_s_temp_st
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_test_module __pyx_mstate_global->__pyx_n_s_test_module
#define __pyx_n_s_thisptr __pyx_mstate_global->__pyx_n_s_thisptr
#define __pyx_n_s_threshold __pyx_mstate_global->__pyx_n_s_threshold
#define __pyx_n_s_throw __pyx_mstate_global->__pyx_n_s_throw
#define __pyx_n_s_time __pyx_mstate_global->__pyx_n_s_time
#define __pyx_n_s_to_multipers __pyx_mstate_global->__pyx_n_s_to_multipers
#define __pyx_n_s_to_plot __pyx_mstate_global->__pyx_n_s_to_plot
#define __pyx_n_s_topCorner __pyx_mstate_global->__pyx_n_s_topCorner
#define __pyx_n_s_translate __pyx_mstate_global->__pyx_n_s_translate
#define __pyx_n_s_translation __pyx_mstate_global->__pyx_n_s_translation
#define __pyx_n_s_typing __pyx_mstate_global->__pyx_n_s_typing
#define __pyx_n_s_unique __pyx_mstate_global->__pyx_n_s_unique
#define __pyx_n_s_values __pyx_mstate_global->__pyx_n_s_values
#define __pyx_n_s_verbose __pyx_mstate_global->__pyx_n_s_verbose
#define __pyx_n_s_warn __pyx_mstate_global->__pyx_n_s_warn
#define __pyx_n_s_warnings __pyx_mstate_global->__pyx_n_s_warnings
#define __pyx_n_s_x __pyx_mstate_global->__pyx_n_s_x
#define __pyx_n_s_xx __pyx_mstate_global->__pyx_n_s_xx
#define __pyx_n_s_zip __pyx_mstate_global->__pyx_n_s_zip
#define __pyx_float__1 __pyx_mstate_global->__pyx_float__1
#define __pyx_float_1_ __pyx_mstate_global->__pyx_float_1_
#define __pyx_float_0_0 __pyx_mstate_global->__pyx_float_0_0
#define __pyx_float_0_1 __pyx_mstate_global->__pyx_float_0_1
#define __pyx_float_4_0 __pyx_mstate_global->__pyx_float_4_0
#define __pyx_int_0 __pyx_mstate_global->__pyx_int_0
#define __pyx_int_1 __pyx_mstate_global->__pyx_int_1
#define __pyx_int_2 __pyx_mstate_global->__pyx_int_2
#define __pyx_int_4 __pyx_mstate_global->__pyx_int_4
#define __pyx_int_50 __pyx_mstate_global->__pyx_int_50
#define __pyx_int_100 __pyx_mstate_global->__pyx_int_100
#define __pyx_int_200 __pyx_mstate_global->__pyx_int_200
#define __pyx_int_500 __pyx_mstate_global->__pyx_int_500
#define __pyx_int_20000 __pyx_mstate_global->__pyx_int_20000
#define __pyx_int_1000000000 __pyx_mstate_global->__pyx_int_1000000000
#define __pyx_int_neg_1 __pyx_mstate_global->__pyx_int_neg_1
#define __pyx_k__5 __pyx_mstate_global->__pyx_k__5
#define __pyx_k__6 __pyx_mstate_global->__pyx_k__6
#define __pyx_k__7 __pyx_mstate_global->__pyx_k__7
#define __pyx_k__8 __pyx_mstate_global->__pyx_k__8
#define __pyx_k__13 __pyx_mstate_global->__pyx_k__13
#define __pyx_k__15 __pyx_mstate_global->__pyx_k__15
#define __pyx_k__16 __pyx_mstate_global->__pyx_k__16
#define __pyx_k__17 __pyx_mstate_global->__pyx_k__17
#define __pyx_k__18 __pyx_mstate_global->__pyx_k__18
#define __pyx_k__19 __pyx_mstate_global->__pyx_k__19
#define __pyx_slice_ __pyx_mstate_global->__pyx_slice_
#define __pyx_slice__2 __pyx_mstate_global->__pyx_slice__2
#define __pyx_slice__3 __pyx_mstate_global->__pyx_slice__3
#define __pyx_tuple__4 __pyx_mstate_global->__pyx_tuple__4
#define __pyx_tuple__11 __pyx_mstate_global->__pyx_tuple__11
#define __pyx_tuple__12 __pyx_mstate_global->__pyx_tuple__12
#define __pyx_tuple__14 __pyx_mstate_global->__pyx_tuple__14
#define __pyx_tuple__20 __pyx_mstate_global->__pyx_tuple__20
#define __pyx_tuple__21 __pyx_mstate_global->__pyx_tuple__21
#define __pyx_tuple__22 __pyx_mstate_global->__pyx_tuple__22
#define __pyx_tuple__25 __pyx_mstate_global->__pyx_tuple__25
#define __pyx_tuple__28 __pyx_mstate_global->__pyx_tuple__28
#define __pyx_tuple__30 __pyx_mstate_global->__pyx_tuple__30
#define __pyx_tuple__41 __pyx_mstate_global->__pyx_tuple__41
#define __pyx_tuple__43 __pyx_mstate_global->__pyx_tuple__43
#define __pyx_tuple__47 __pyx_mstate_global->__pyx_tuple__47
#define __pyx_tuple__49 __pyx_mstate_global->__pyx_tuple__49
#define __pyx_tuple__51 __pyx_mstate_global->__pyx_tuple__51
#define __pyx_tuple__57 __pyx_mstate_global->__pyx_tuple__57
#define __pyx_tuple__59 __pyx_mstate_global->__pyx_tuple__59
#define __pyx_tuple__61 __pyx_mstate_global->__pyx_tuple__61
#define __pyx_tuple__63 __pyx_mstate_global->__pyx_tuple__63
#define __pyx_tuple__65 __pyx_mstate_global->__pyx_tuple__65
#define __pyx_tuple__69 __pyx_mstate_global->__pyx_tuple__69
#define __pyx_tuple__71 __pyx_mstate_global->__pyx_tuple__71
#define __pyx_tuple__73 __pyx_mstate_global->__pyx_tuple__73
#define __pyx_tuple__76 __pyx_mstate_global->__pyx_tuple__76
#define __pyx_tuple__78 __pyx_mstate_global->__pyx_tuple__78
#define __pyx_tuple__79 __pyx_mstate_global->__pyx_tuple__79
#define __pyx_tuple__81 __pyx_mstate_global->__pyx_tuple__81
#define __pyx_tuple__83 __pyx_mstate_global->__pyx_tuple__83
#define __pyx_tuple__84 __pyx_mstate_global->__pyx_tuple__84
#define __pyx_tuple__86 __pyx_mstate_global->__pyx_tuple__86
#define __pyx_tuple__88 __pyx_mstate_global->__pyx_tuple__88
#define __pyx_tuple__90 __pyx_mstate_global->__pyx_tuple__90
#define __pyx_tuple__91 __pyx_mstate_global->__pyx_tuple__91
#define __pyx_tuple__93 __pyx_mstate_global->__pyx_tuple__93
#define __pyx_tuple__95 __pyx_mstate_global->__pyx_tuple__95
#define __pyx_tuple__97 __pyx_mstate_global->__pyx_tuple__97
#define __pyx_tuple__101 __pyx_mstate_global->__pyx_tuple__101
#define __pyx_tuple__103 __pyx_mstate_global->__pyx_tuple__103
#define __pyx_tuple__105 __pyx_mstate_global->__pyx_tuple__105
#define __pyx_tuple__107 __pyx_mstate_global->__pyx_tuple__107
#define __pyx_tuple__109 __pyx_mstate_global->__pyx_tuple__109
#define __pyx_tuple__110 __pyx_mstate_global->__pyx_tuple__110
#define __pyx_codeobj__23 __pyx_mstate_global->__pyx_codeobj__23
#define __pyx_codeobj__24 __pyx_mstate_global->__pyx_codeobj__24
#define __pyx_codeobj__26 __pyx_mstate_global->__pyx_codeobj__26
#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__32 __pyx_mstate_global->__pyx_codeobj__32
#define __pyx_codeobj__33 __pyx_mstate_global->__pyx_codeobj__33
#define __pyx_codeobj__34 __pyx_mstate_global->__pyx_codeobj__34
#define __pyx_codeobj__35 __pyx_mstate_global->__pyx_codeobj__35
#define __pyx_codeobj__36 __pyx_mstate_global->__pyx_codeobj__36
#define __pyx_codeobj__37 __pyx_mstate_global->__pyx_codeobj__37
#define __pyx_codeobj__38 __pyx_mstate_global->__pyx_codeobj__38
#define __pyx_codeobj__39 __pyx_mstate_global->__pyx_codeobj__39
#define __pyx_codeobj__40 __pyx_mstate_global->__pyx_codeobj__40
#define __pyx_codeobj__42 __pyx_mstate_global->__pyx_codeobj__42
#define __pyx_codeobj__44 __pyx_mstate_global->__pyx_codeobj__44
#define __pyx_codeobj__45 __pyx_mstate_global->__pyx_codeobj__45
#define __pyx_codeobj__46 __pyx_mstate_global->__pyx_codeobj__46
#define __pyx_codeobj__48 __pyx_mstate_global->__pyx_codeobj__48
#define __pyx_codeobj__50 __pyx_mstate_global->__pyx_codeobj__50
#define __pyx_codeobj__52 __pyx_mstate_global->__pyx_codeobj__52
#define __pyx_codeobj__53 __pyx_mstate_global->__pyx_codeobj__53
#define __pyx_codeobj__54 __pyx_mstate_global->__pyx_codeobj__54
#define __pyx_codeobj__55 __pyx_mstate_global->__pyx_codeobj__55
#define __pyx_codeobj__56 __pyx_mstate_global->__pyx_codeobj__56
#define __pyx_codeobj__58 __pyx_mstate_global->__pyx_codeobj__58
#define __pyx_codeobj__60 __pyx_mstate_global->__pyx_codeobj__60
#define __pyx_codeobj__62 __pyx_mstate_global->__pyx_codeobj__62
#define __pyx_codeobj__64 __pyx_mstate_global->__pyx_codeobj__64
#define __pyx_codeobj__66 __pyx_mstate_global->__pyx_codeobj__66
#define __pyx_codeobj__67 __pyx_mstate_global->__pyx_codeobj__67
#define __pyx_codeobj__68 __pyx_mstate_global->__pyx_codeobj__68
#define __pyx_codeobj__70 __pyx_mstate_global->__pyx_codeobj__70
#define __pyx_codeobj__72 __pyx_mstate_global->__pyx_codeobj__72
#define __pyx_codeobj__74 __pyx_mstate_global->__pyx_codeobj__74
#define __pyx_codeobj__75 __pyx_mstate_global->__pyx_codeobj__75
#define __pyx_codeobj__77 __pyx_mstate_global->__pyx_codeobj__77
#define __pyx_codeobj__80 __pyx_mstate_global->__pyx_codeobj__80
#define __pyx_codeobj__82 __pyx_mstate_global->__pyx_codeobj__82
#define __pyx_codeobj__85 __pyx_mstate_global->__pyx_codeobj__85
#define __pyx_codeobj__87 __pyx_mstate_global->__pyx_codeobj__87
#define __pyx_codeobj__89 __pyx_mstate_global->__pyx_codeobj__89
#define __pyx_codeobj__92 __pyx_mstate_global->__pyx_codeobj__92
#define __pyx_codeobj__94 __pyx_mstate_global->__pyx_codeobj__94
#define __pyx_codeobj__96 __pyx_mstate_global->__pyx_codeobj__96
#define __pyx_codeobj__98 __pyx_mstate_global->__pyx_codeobj__98
#define __pyx_codeobj__99 __pyx_mstate_global->__pyx_codeobj__99
#define __pyx_codeobj__100 __pyx_mstate_global->__pyx_codeobj__100
#define __pyx_codeobj__102 __pyx_mstate_global->__pyx_codeobj__102
#define __pyx_codeobj__104 __pyx_mstate_global->__pyx_codeobj__104
#define __pyx_codeobj__106 __pyx_mstate_global->__pyx_codeobj__106
#define __pyx_codeobj__108 __pyx_mstate_global->__pyx_codeobj__108
#define __pyx_codeobj__111 __pyx_mstate_global->__pyx_codeobj__111
/* #### Code section: module_code ### */

/* "vector.from_py":45
 * 
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 * cdef vector[X] __pyx_convert_vector_from_py___pyx_t_9multipers_35multiparameter_module_approximation_value_type(object o) except *:             # <<<<<<<<<<<<<<
 *     cdef vector[X] v
 *     for item in o:
 */

static std::vector<__pyx_t_9multipers_35multiparameter_module_approximation_value_type>  __pyx_convert_vector_from_py___pyx_t_9multipers_35multiparameter_module_approximation_value_type(PyObject *__pyx_v_o) {
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 *     cdef vector[X] v
 *     for item in o:             # <<<<<<<<<<<<<<
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static PyObject *__pyx_tp_new_9multipers_35multiparameter_module_approximation_PyMultiDiagrams(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_9multipers_35multiparameter_module_approximation_PyMultiDiagrams(PyObject *o) {
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static PyObject *__pyx_getprop_9multipers_35multiparameter_module_approximation_8PyModule_num_parameters(PyObject *o, CYTHON_UNUSED void *x) {
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 * 	out = [np.unique(pts[:,parameter]) for parameter in range(num_parameters)]             # <<<<<<<<<<<<<<
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 * 	out = [f[:-1] if f[-1] == np.inf else f for f in out]             # <<<<<<<<<<<<<<
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 * 		cdef size_t dim = self.box.get_bottom_corner().size()
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 * 		import matplotlib
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 * 		if len(self) == 0: return
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 * 			raise ValueError("Basepoints has to be specified for filtration dimension >= 3 !")             # <<<<<<<<<<<<<<
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 * 			h = box[1][1] - box[0][1]
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 * 		xx = [np.linspace(*np.asarray(box)[:,parameter], num=res) for parameter, res in zip(range(num_parameters), resolution)]
 * 		mesh = np.meshgrid(*xx)
 * 		coordinates = np.concatenate([stuff.flatten()[:,None] for stuff in mesh], axis=1)             # <<<<<<<<<<<<<<
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 * 		# if degree < 0:
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 * 		cptr = temp_st.thisptr
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 * 		raise TypeError("Has to be a simplextree")             # <<<<<<<<<<<<<<
 * 	cdef pair[boundary_matrix, vector[Finitely_critical_multi_filtration]] cboundary_filtration = simplextree_to_boundary_filtration(cptr)
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 * 
 * 	def get_birth_list(self):             # <<<<<<<<<<<<<<
 * 		return np.asarray(Finitely_critical_multi_filtration.to_python(self.sum.get_birth_list()))
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 * 		return np.asarray(Finitely_critical_multi_filtration.to_python(self.sum.get_birth_list()))
 * 
 * 	def get_death_list(self):             # <<<<<<<<<<<<<<
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 * 		self.sum = summand
 * 		return self
 * 	def get_bounds(self):             # <<<<<<<<<<<<<<
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 * 		if dim == self.box.get_upper_corner().size():	return dim
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 * 	def contains(self, x):             # <<<<<<<<<<<<<<
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 * 		return self
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 * 	def get(self):             # <<<<<<<<<<<<<<
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 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
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 * 	def to_multipers(self):             # <<<<<<<<<<<<<<
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 * 	def __len__(self):
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 * 	cdef _get_plot_bars(self, dimension:int=-1, min_persistence:float=0):
 * 		return self.multiDiagrams._for_python_plot(dimension, min_persistence);
 * 	def plot(self, degree:int=-1, min_persistence:float=0):             # <<<<<<<<<<<<<<
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 * 		Plots the barcodes.
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 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
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 * 			self.cmod.set_box(cbox)
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 * 					pmodule.cmod.add_summand(summand)
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 * 	def get_module_of_degrees(self, degrees:Iterable[int])->PyModule: # TODO : in c++ ?             # <<<<<<<<<<<<<<
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 * 		cdef Box[value_type] c_box = self.cmod.get_box()
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 * 		return pmodule
 * 	def _compute_pixels(self,coordinates:np.ndarray,             # <<<<<<<<<<<<<<
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 * 	def __len__(self)->int:
 * 		return self.cmod.size()
 * 	def get_bottom(self)->list:             # <<<<<<<<<<<<<<
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 * 	def get_bottom(self)->list:
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 * 	def get_top(self)->list:             # <<<<<<<<<<<<<<
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 * 	def get_top(self)->list:
 * 		return self.cmod.get_box().get_upper_corner().get_vector()
 * 	def get_box(self):             # <<<<<<<<<<<<<<
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 * 		assert dim == self.cmod.get_box().get_upper_corner().size(), "Bad box definition, cannot infer num_parameters."
 * 		return dim
 * 	def dump(self, path:str|None=None):             # <<<<<<<<<<<<<<
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 * 		Dumps the module into a pickle-able format.
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  /* "multipers/multiparameter_module_approximation.pyx":274
 * 		## TODO : optimize, but not really used.
 * 		return dump_cmod(self.cmod)
 * 	def __getstate__(self):             # <<<<<<<<<<<<<<
 * 		return self.dump()
 * 	def __setstate__(self,dump):
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 * 	def __getstate__(self):
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 * 		cdef Module cmod = cmod_from_dump(dump)
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 * 		summand.set(self.cmod.at(i % self.cmod.size()))
 * 		return summand
 * 	def get_bounds(self):             # <<<<<<<<<<<<<<
 * 		cdef pair[Finitely_critical_multi_filtration,Finitely_critical_multi_filtration] cbounds
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 * 		# return np.array(<value_type[:self.num_parameters]>(&cbounds.first[0])),np.array(<value_type[:self.num_parameters]>(&cbounds.second[0]))
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 * 		with nogil:
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 * 			self.cmod.translate(ctranslation,degree)
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 * 	def get_filtration_values(self, unique=True):             # <<<<<<<<<<<<<<
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 * 		return values
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 * 	def plot(self, degree:int=-1,**kwargs)->None:             # <<<<<<<<<<<<<<
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 * 		return
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 * 		out.set(self.cmod.get_barcode(Line[value_type](basepoint), degree, threshold))
 * 		return out
 * 	def barcodes(self, degree:int, basepoints = None, num=100, box = None,threshold = False):             # <<<<<<<<<<<<<<
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 * 		out.set(self.cmod.get_barcodes(cbasepoints, degree, threshold))
 * 		return out
 * 	def landscape(self, degree:int, k:int=0,box:list|np.ndarray|None=None, resolution:List=[100,100], bool plot=False):             # <<<<<<<<<<<<<<
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 * 			plt.imshow(out.T, origin="lower", extent=extent, aspect=aspect)
 * 		return out
 * 	def landscapes(self, degree:int, ks:list|np.ndarray=[0],box=None, resolution:list|np.ndarray=[100,100], bool plot=False):             # <<<<<<<<<<<<<<
 * 		"""Computes the multiparameter landscape from a PyModule. Python interface only bifiltrations.
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 * 
 * 
 * 	def image(self, degrees:Iterable[int]=None, bandwidth:float=0.1, resolution:list|int=50, normalize:bool=False, plot:bool=False, save:bool=False, dpi:int=200,p:float=1., box=None, flatten=False, int n_jobs=0,  **kwargs)->np.ndarray:             # <<<<<<<<<<<<<<
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 * 
 * 
 * 	def euler_char(self, points:list|np.ndarray) -> np.ndarray:             # <<<<<<<<<<<<<<
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 * 
 */
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 * def __reduce_cython__(self):             # <<<<<<<<<<<<<<
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 * def __reduce_cython__(self):
 *     raise TypeError, "self.cmod cannot be converted to a Python object for pickling"
 * def __setstate_cython__(self, __pyx_state):             # <<<<<<<<<<<<<<
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 * 		return np.array(euler, dtype=int)
 * 
 * def module_approximation(             # <<<<<<<<<<<<<<
 * 	st:SimplexTreeMulti|None=None,
 * 	max_error:float|None = None,
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 * 
 * 
 * def from_dump(dump)->PyModule:             # <<<<<<<<<<<<<<
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 */
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 * 
 * 
 * def test_module(**kwargs):             # <<<<<<<<<<<<<<
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 */
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#endif
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#if PY_MAJOR_VERSION < 3
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return_ne:
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#if CYTHON_ASSUME_SAFE_MACROS
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invalid_keyword_type:
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invalid_keyword:
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static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
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static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
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static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
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#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
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#elif CYTHON_COMPILING_IN_LIMITED_API
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        return result;
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#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
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#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
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    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 = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = __Pyx_CyOrPyCFunction_GET_FUNCTION(func);
    self = __Pyx_CyOrPyCFunction_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 */
#if PY_VERSION_HEX < 0x03090000 || CYTHON_COMPILING_IN_LIMITED_API
static PyObject* __Pyx_PyObject_FastCall_fallback(PyObject *func, PyObject **args, size_t nargs, PyObject *kwargs) {
    PyObject *argstuple;
    PyObject *result = 0;
    size_t i;
    argstuple = PyTuple_New((Py_ssize_t)nargs);
    if (unlikely(!argstuple)) return NULL;
    for (i = 0; i < nargs; i++) {
        Py_INCREF(args[i]);
        if (__Pyx_PyTuple_SET_ITEM(argstuple, (Py_ssize_t)i, args[i]) < 0) goto bad;
    }
    result = __Pyx_PyObject_Call(func, argstuple, kwargs);
  bad:
    Py_DECREF(argstuple);
    return result;
}
#endif
static CYTHON_INLINE PyObject* __Pyx_PyObject_FastCallDict(PyObject *func, PyObject **args, size_t _nargs, PyObject *kwargs) {
    Py_ssize_t nargs = __Pyx_PyVectorcall_NARGS(_nargs);
#if CYTHON_COMPILING_IN_CPYTHON
    if (nargs == 0 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_NOARGS))
            return __Pyx_PyObject_CallMethO(func, NULL);
    }
    else if (nargs == 1 && kwargs == NULL) {
        if (__Pyx_CyOrPyCFunction_Check(func) && likely( __Pyx_CyOrPyCFunction_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 (kwargs == NULL) {
        #if CYTHON_VECTORCALL
        #if Py_VERSION_HEX < 0x03090000
        vectorcallfunc f = _PyVectorcall_Function(func);
        #else
        vectorcallfunc f = PyVectorcall_Function(func);
        #endif
        if (f) {
            return f(func, args, (size_t)nargs, NULL);
        }
        #elif defined(__Pyx_CyFunction_USED) && CYTHON_BACKPORT_VECTORCALL
        if (__Pyx_CyFunction_CheckExact(func)) {
            __pyx_vectorcallfunc f = __Pyx_CyFunction_func_vectorcall(func);
            if (f) return f(func, args, (size_t)nargs, NULL);
        }
        #endif
    }
    if (nargs == 0) {
        return __Pyx_PyObject_Call(func, __pyx_empty_tuple, kwargs);
    }
    #if PY_VERSION_HEX >= 0x03090000 && !CYTHON_COMPILING_IN_LIMITED_API
    return PyObject_VectorcallDict(func, args, (size_t)nargs, kwargs);
    #else
    return __Pyx_PyObject_FastCall_fallback(func, args, (size_t)nargs, kwargs);
    #endif
}

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    __Pyx_PyThreadState_declare
    CYTHON_UNUSED_VAR(cause);
    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 PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
      #elif CYTHON_FAST_THREAD_STATE
        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);
        }
#else
        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);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

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

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject *const *kwvalues,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    int kwds_is_tuple = CYTHON_METH_FASTCALL && likely(PyTuple_Check(kwds));
    while (1) {
        Py_XDECREF(key); key = NULL;
        Py_XDECREF(value); value = NULL;
        if (kwds_is_tuple) {
            Py_ssize_t size;
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(kwds);
#else
            size = PyTuple_Size(kwds);
            if (size < 0) goto bad;
#endif
            if (pos >= size) break;
#if CYTHON_AVOID_BORROWED_REFS
            key = __Pyx_PySequence_ITEM(kwds, pos);
            if (!key) goto bad;
#elif CYTHON_ASSUME_SAFE_MACROS
            key = PyTuple_GET_ITEM(kwds, pos);
#else
            key = PyTuple_GetItem(kwds, pos);
            if (!key) goto bad;
#endif
            value = kwvalues[pos];
            pos++;
        }
        else
        {
            if (!PyDict_Next(kwds, &pos, &key, &value)) break;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(key);
#endif
        }
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
            Py_INCREF(value); // transfer ownership of value to values
            Py_DECREF(key);
#endif
            key = NULL;
            value = NULL;
            continue;
        }
#if !CYTHON_AVOID_BORROWED_REFS
        Py_INCREF(key);
#endif
        Py_INCREF(value);
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL;  // ownership transferred to values
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key)
                );
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
#if CYTHON_AVOID_BORROWED_REFS
                    value = NULL; // ownership transferred to values
#endif
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__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++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    Py_XDECREF(key);
    Py_XDECREF(value);
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    #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:
    Py_XDECREF(key);
    Py_XDECREF(value);
    return -1;
}

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

/* PyObjectCallOneArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *args[2] = {NULL, arg};
    return __Pyx_PyObject_FastCall(func, args+1, 1 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject *index) {
    PyObject *runerr = NULL;
    Py_ssize_t key_value;
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        __Pyx_TypeName index_type_name = __Pyx_PyType_GetName(Py_TYPE(index));
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError,
            "cannot fit '" __Pyx_FMT_TYPENAME "' into an index-sized integer", index_type_name);
        __Pyx_DECREF_TypeName(index_type_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem_Slow(PyObject *obj, PyObject *key) {
    __Pyx_TypeName obj_type_name;
    if (likely(PyType_Check(obj))) {
        PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(obj, __pyx_n_s_class_getitem);
        if (meth) {
            PyObject *result = __Pyx_PyObject_CallOneArg(meth, key);
            Py_DECREF(meth);
            return result;
        }
    }
    obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError,
        "'" __Pyx_FMT_TYPENAME "' object is not subscriptable", obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject *key) {
    PyTypeObject *tp = Py_TYPE(obj);
    PyMappingMethods *mm = tp->tp_as_mapping;
    PySequenceMethods *sm = tp->tp_as_sequence;
    if (likely(mm && mm->mp_subscript)) {
        return mm->mp_subscript(obj, key);
    }
    if (likely(sm && sm->sq_item)) {
        return __Pyx_PyObject_GetIndex(obj, key);
    }
    return __Pyx_PyObject_GetItem_Slow(obj, key);
}
#endif

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

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

/* PyObjectCallNoArg */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
    PyObject *arg[2] = {NULL, NULL};
    return __Pyx_PyObject_FastCall(func, arg + 1, 0 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *module = 0;
    PyObject *empty_dict = 0;
    PyObject *empty_list = 0;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (unlikely(!py_import))
        goto bad;
    if (!from_list) {
        empty_list = PyList_New(0);
        if (unlikely(!empty_list))
            goto bad;
        from_list = empty_list;
    }
    #endif
    empty_dict = PyDict_New();
    if (unlikely(!empty_dict))
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.') != NULL) {
                module = PyImport_ImportModuleLevelObject(
                    name, __pyx_d, empty_dict, from_list, 1);
                if (unlikely(!module)) {
                    if (unlikely(!PyErr_ExceptionMatches(PyExc_ImportError)))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (unlikely(!py_level))
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, __pyx_d, empty_dict, from_list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, __pyx_d, empty_dict, from_list, level);
            #endif
        }
    }
bad:
    Py_XDECREF(empty_dict);
    Py_XDECREF(empty_list);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    return module;
}

/* ImportFrom */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        const char* module_name_str = 0;
        PyObject* module_name = 0;
        PyObject* module_dot = 0;
        PyObject* full_name = 0;
        PyErr_Clear();
        module_name_str = PyModule_GetName(module);
        if (unlikely(!module_name_str)) { goto modbad; }
        module_name = PyUnicode_FromString(module_name_str);
        if (unlikely(!module_name)) { goto modbad; }
        module_dot = PyUnicode_Concat(module_name, __pyx_kp_u__9);
        if (unlikely(!module_dot)) { goto modbad; }
        full_name = PyUnicode_Concat(module_dot, name);
        if (unlikely(!full_name)) { goto modbad; }
        #if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
        {
            PyObject *modules = PyImport_GetModuleDict();
            if (unlikely(!modules))
                goto modbad;
            value = PyObject_GetItem(modules, full_name);
        }
        #else
        value = PyImport_GetModule(full_name);
        #endif
      modbad:
        Py_XDECREF(full_name);
        Py_XDECREF(module_dot);
        Py_XDECREF(module_name);
    }
    if (unlikely(!value)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* ImportDottedModule */
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Error(PyObject *name, PyObject *parts_tuple, Py_ssize_t count) {
    PyObject *partial_name = NULL, *slice = NULL, *sep = NULL;
    if (unlikely(PyErr_Occurred())) {
        PyErr_Clear();
    }
    if (likely(PyTuple_GET_SIZE(parts_tuple) == count)) {
        partial_name = name;
    } else {
        slice = PySequence_GetSlice(parts_tuple, 0, count);
        if (unlikely(!slice))
            goto bad;
        sep = PyUnicode_FromStringAndSize(".", 1);
        if (unlikely(!sep))
            goto bad;
        partial_name = PyUnicode_Join(sep, slice);
    }
    PyErr_Format(
#if PY_MAJOR_VERSION < 3
        PyExc_ImportError,
        "No module named '%s'", PyString_AS_STRING(partial_name));
#else
#if PY_VERSION_HEX >= 0x030600B1
        PyExc_ModuleNotFoundError,
#else
        PyExc_ImportError,
#endif
        "No module named '%U'", partial_name);
#endif
bad:
    Py_XDECREF(sep);
    Py_XDECREF(slice);
    Py_XDECREF(partial_name);
    return NULL;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx__ImportDottedModule_Lookup(PyObject *name) {
    PyObject *imported_module;
#if PY_VERSION_HEX < 0x030700A1 || (CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM  < 0x07030400)
    PyObject *modules = PyImport_GetModuleDict();
    if (unlikely(!modules))
        return NULL;
    imported_module = __Pyx_PyDict_GetItemStr(modules, name);
    Py_XINCREF(imported_module);
#else
    imported_module = PyImport_GetModule(name);
#endif
    return imported_module;
}
#endif
#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_ImportDottedModule_WalkParts(PyObject *module, PyObject *name, PyObject *parts_tuple) {
    Py_ssize_t i, nparts;
    nparts = PyTuple_GET_SIZE(parts_tuple);
    for (i=1; i < nparts && module; i++) {
        PyObject *part, *submodule;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        part = PyTuple_GET_ITEM(parts_tuple, i);
#else
        part = PySequence_ITEM(parts_tuple, i);
#endif
        submodule = __Pyx_PyObject_GetAttrStrNoError(module, part);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_DECREF(part);
#endif
        Py_DECREF(module);
        module = submodule;
    }
    if (unlikely(!module)) {
        return __Pyx__ImportDottedModule_Error(name, parts_tuple, i);
    }
    return module;
}
#endif
static PyObject *__Pyx__ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if PY_MAJOR_VERSION < 3
    PyObject *module, *from_list, *star = __pyx_n_s__10;
    CYTHON_UNUSED_VAR(parts_tuple);
    from_list = PyList_New(1);
    if (unlikely(!from_list))
        return NULL;
    Py_INCREF(star);
    PyList_SET_ITEM(from_list, 0, star);
    module = __Pyx_Import(name, from_list, 0);
    Py_DECREF(from_list);
    return module;
#else
    PyObject *imported_module;
    PyObject *module = __Pyx_Import(name, NULL, 0);
    if (!parts_tuple || unlikely(!module))
        return module;
    imported_module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(imported_module)) {
        Py_DECREF(module);
        return imported_module;
    }
    PyErr_Clear();
    return __Pyx_ImportDottedModule_WalkParts(module, name, parts_tuple);
#endif
}
static PyObject *__Pyx_ImportDottedModule(PyObject *name, PyObject *parts_tuple) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030400B1
    PyObject *module = __Pyx__ImportDottedModule_Lookup(name);
    if (likely(module)) {
        PyObject *spec = __Pyx_PyObject_GetAttrStrNoError(module, __pyx_n_s_spec);
        if (likely(spec)) {
            PyObject *unsafe = __Pyx_PyObject_GetAttrStrNoError(spec, __pyx_n_s_initializing);
            if (likely(!unsafe || !__Pyx_PyObject_IsTrue(unsafe))) {
                Py_DECREF(spec);
                spec = NULL;
            }
            Py_XDECREF(unsafe);
        }
        if (likely(!spec)) {
            PyErr_Clear();
            return module;
        }
        Py_DECREF(spec);
        Py_DECREF(module);
    } else if (PyErr_Occurred()) {
        PyErr_Clear();
    }
#endif
    return __Pyx__ImportDottedModule(name, parts_tuple);
}

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

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

/* RaiseUnexpectedTypeError */
static int
__Pyx_RaiseUnexpectedTypeError(const char *expected, PyObject *obj)
{
    __Pyx_TypeName obj_type_name = __Pyx_PyType_GetName(Py_TYPE(obj));
    PyErr_Format(PyExc_TypeError, "Expected %s, got " __Pyx_FMT_TYPENAME,
                 expected, obj_type_name);
    __Pyx_DECREF_TypeName(obj_type_name);
    return 0;
}

/* UnpackUnboundCMethod */
static PyObject *__Pyx_SelflessCall(PyObject *method, PyObject *args, PyObject *kwargs) {
    PyObject *selfless_args = PyTuple_GetSlice(args, 1, PyTuple_Size(args));
    if (unlikely(!selfless_args)) return NULL;
    PyObject *result = PyObject_Call(method, selfless_args, kwargs);
    Py_DECREF(selfless_args);
    return result;
}
static PyMethodDef __Pyx_UnboundCMethod_Def = {
     "CythonUnboundCMethod",
     __PYX_REINTERPRET_FUNCION(PyCFunction, __Pyx_SelflessCall),
     METH_VARARGS | METH_KEYWORDS,
     NULL
};
static int __Pyx_TryUnpackUnboundCMethod(__Pyx_CachedCFunction* target) {
    PyObject *method;
    method = __Pyx_PyObject_GetAttrStr(target->type, *target->method_name);
    if (unlikely(!method))
        return -1;
    target->method = method;
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION >= 3
    if (likely(__Pyx_TypeCheck(method, &PyMethodDescr_Type)))
    #else
    if (likely(!__Pyx_CyOrPyCFunction_Check(method)))
    #endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject*) method;
        target->func = descr->d_method->ml_meth;
        target->flag = descr->d_method->ml_flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_STACKLESS);
    } else
#endif
#if CYTHON_COMPILING_IN_PYPY
#else
    if (PyCFunction_Check(method))
#endif
    {
        PyObject *self;
        int self_found;
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        self = PyObject_GetAttrString(method, "__self__");
        if (!self) {
            PyErr_Clear();
        }
#else
        self = PyCFunction_GET_SELF(method);
#endif
        self_found = (self && self != Py_None);
#if CYTHON_COMPILING_IN_LIMITED_API || CYTHON_COMPILING_IN_PYPY
        Py_XDECREF(self);
#endif
        if (self_found) {
            PyObject *unbound_method = PyCFunction_New(&__Pyx_UnboundCMethod_Def, method);
            if (unlikely(!unbound_method)) return -1;
            Py_DECREF(method);
            target->method = unbound_method;
        }
    }
    return 0;
}

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

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

/* dict_getitem_default */
static PyObject* __Pyx_PyDict_GetItemDefault(PyObject* d, PyObject* key, PyObject* default_value) {
    PyObject* value;
#if PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (unlikely(PyErr_Occurred()))
            return NULL;
        value = default_value;
    }
    Py_INCREF(value);
    if ((1));
#else
    if (PyString_CheckExact(key) || PyUnicode_CheckExact(key) || PyInt_CheckExact(key)) {
        value = PyDict_GetItem(d, key);
        if (unlikely(!value)) {
            value = default_value;
        }
        Py_INCREF(value);
    }
#endif
    else {
        if (default_value == Py_None)
            value = __Pyx_CallUnboundCMethod1(&__pyx_umethod_PyDict_Type_get, d, key);
        else
            value = __Pyx_CallUnboundCMethod2(&__pyx_umethod_PyDict_Type_get, d, key, default_value);
    }
    return value;
}

/* py_dict_pop */
static CYTHON_INLINE PyObject *__Pyx_PyDict_Pop(PyObject *d, PyObject *key, PyObject *default_value) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX > 0x030600B3
    if ((1)) {
        return _PyDict_Pop(d, key, default_value);
    } else
#endif
    if (default_value) {
        return __Pyx_CallUnboundCMethod2(&__pyx_umethod_PyDict_Type_pop, d, key, default_value);
    } else {
        return __Pyx_CallUnboundCMethod1(&__pyx_umethod_PyDict_Type_pop, d, key);
    }
}

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

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

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

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

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

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

/* MergeKeywords */
static int __Pyx_MergeKeywords(PyObject *kwdict, PyObject *source_mapping) {
    PyObject *iter, *key = NULL, *value = NULL;
    int source_is_dict, result;
    Py_ssize_t orig_length, ppos = 0;
    iter = __Pyx_dict_iterator(source_mapping, 0, __pyx_n_s_items, &orig_length, &source_is_dict);
    if (unlikely(!iter)) {
        PyObject *args;
        if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError))) goto bad;
        PyErr_Clear();
        args = PyTuple_Pack(1, source_mapping);
        if (likely(args)) {
            PyObject *fallback = PyObject_Call((PyObject*)&PyDict_Type, args, NULL);
            Py_DECREF(args);
            if (likely(fallback)) {
                iter = __Pyx_dict_iterator(fallback, 1, __pyx_n_s_items, &orig_length, &source_is_dict);
                Py_DECREF(fallback);
            }
        }
        if (unlikely(!iter)) goto bad;
    }
    while (1) {
        result = __Pyx_dict_iter_next(iter, orig_length, &ppos, &key, &value, NULL, source_is_dict);
        if (unlikely(result < 0)) goto bad;
        if (!result) break;
        if (unlikely(PyDict_Contains(kwdict, key))) {
            __Pyx_RaiseDoubleKeywordsError("function", key);
            result = -1;
        } else {
            result = PyDict_SetItem(kwdict, key, value);
        }
        Py_DECREF(key);
        Py_DECREF(value);
        if (unlikely(result < 0)) goto bad;
    }
    Py_XDECREF(iter);
    return 0;
bad:
    Py_XDECREF(iter);
    return -1;
}

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

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
  #endif
}
#endif

/* PyIntCompare */
static CYTHON_INLINE int __Pyx_PyInt_BoolEqObjC(PyObject *op1, PyObject *op2, long intval, long inplace) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_UNUSED_VAR(inplace);
    if (op1 == op2) {
        return 1;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        return (a == b);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = __Pyx_PyLong_DigitCount(op1);
        const digit* digits = __Pyx_PyLong_Digits(op1);
        if (intval == 0) {
            return (__Pyx_PyLong_IsZero(op1) == 1);
        } else if (intval < 0) {
            if (__Pyx_PyLong_IsNonNeg(op1))
                return 0;
            intval = -intval;
        } else {
            if (__Pyx_PyLong_IsNeg(op1))
                return 0;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        return (unequal == 0);
    }
    #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
        return ((double)a == (double)b);
    }
    return __Pyx_PyObject_IsTrueAndDecref(
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind, kind_shift;
    Py_ssize_t i, char_pos;
    void *result_udata;
    CYTHON_MAYBE_UNUSED_VAR(max_char);
#if CYTHON_PEP393_ENABLED
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    kind_shift = (result_ukind == PyUnicode_4BYTE_KIND) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_DATA(result_uval);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    kind_shift = (result_ukind == 4) ? 2 : result_ukind - 1;
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    assert(kind_shift == 2 || kind_shift == 1 || kind_shift == 0);
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        if (unlikely(!ulength))
            continue;
        if (unlikely((PY_SSIZE_T_MAX >> kind_shift) - ulength < char_pos))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (!CYTHON_PEP393_ENABLED || ukind == result_ukind) {
            memcpy((char *)result_udata + (char_pos << kind_shift), udata, (size_t) (ulength << kind_shift));
        } else {
            #if PY_VERSION_HEX >= 0x030D0000
            if (unlikely(PyUnicode_CopyCharacters(result_uval, char_pos, uval, 0, ulength) < 0)) goto bad;
            #elif CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030300F0 || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    CYTHON_UNUSED_VAR(max_char);
    CYTHON_UNUSED_VAR(result_ulength);
    CYTHON_UNUSED_VAR(value_count);
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_MultiplyCObj(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        const long a = intval;
        long b = PyInt_AS_LONG(op2);
        
#ifdef HAVE_LONG_LONG
            if (sizeof(PY_LONG_LONG) > sizeof(long)) {
                PY_LONG_LONG result = (PY_LONG_LONG)a * (PY_LONG_LONG)b;
                return (result >= LONG_MIN && result <= LONG_MAX) ?
                    PyInt_FromLong((long)result) : PyLong_FromLongLong(result);
            }
#endif
#if CYTHON_USE_TYPE_SLOTS
            return PyInt_Type.tp_as_number->nb_multiply(op1, op2);
#else
            return PyNumber_Multiply(op1, op2);
#endif
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op2))) {
        const long a = intval;
        long b, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG lla = intval;
        PY_LONG_LONG llb, llx;
#endif
        if (unlikely(__Pyx_PyLong_IsZero(op2))) {
            return __Pyx_NewRef(op2);
        }
        if (likely(__Pyx_PyLong_IsCompact(op2))) {
            b = __Pyx_PyLong_CompactValue(op2);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op2);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op2);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT+30) {
                        b = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT+30) {
                        llb = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT+30) {
                        b = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT+30) {
                        llb = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT+30) {
                        b = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT+30) {
                        llb = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT+30) {
                        b = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT+30) {
                        llb = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT+30) {
                        b = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT+30) {
                        llb = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT+30) {
                        b = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    #ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT+30) {
                        llb = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
                    #endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
            }
        }
                CYTHON_UNUSED_VAR(a);
                CYTHON_UNUSED_VAR(b);
                #ifdef HAVE_LONG_LONG
                llb = b;
                goto long_long;
                #else
                return PyLong_Type.tp_as_number->nb_multiply(op1, op2);
                #endif
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla * llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op2)) {
        const long a = intval;
#if CYTHON_COMPILING_IN_LIMITED_API
        double b = __pyx_PyFloat_AsDouble(op2);
#else
        double b = PyFloat_AS_DOUBLE(op2);
#endif
            double result;
            
            PyFPE_START_PROTECT("multiply", return NULL)
            result = ((double)a) * (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceMultiply : PyNumber_Multiply)(op1, op2);
}
#endif

/* RaiseUnboundLocalError */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* PyIntBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_TrueDivideObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check) {
    CYTHON_MAYBE_UNUSED_VAR(intval);
    CYTHON_MAYBE_UNUSED_VAR(inplace);
    CYTHON_UNUSED_VAR(zerodivision_check);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        
            if (8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53))) {
                return PyFloat_FromDouble((double)a / (double)b);
            }
            return PyInt_Type.tp_as_number->nb_true_divide(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
        if (unlikely(__Pyx_PyLong_IsZero(op1))) {
        }
        if (likely(__Pyx_PyLong_IsCompact(op1))) {
            a = __Pyx_PyLong_CompactValue(op1);
        } else {
            const digit* digits = __Pyx_PyLong_Digits(op1);
            const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(op1);
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT && 1 * PyLong_SHIFT < 53) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT && 2 * PyLong_SHIFT < 53) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT && 3 * PyLong_SHIFT < 53) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            }
        }
                if ((8 * sizeof(long) <= 53 || likely(labs(a) <= ((PY_LONG_LONG)1 << 53)))
                        || __Pyx_PyLong_DigitCount(op1) <= 52 / PyLong_SHIFT) {
                    return PyFloat_FromDouble((double)a / (double)b);
                }
                return PyLong_Type.tp_as_number->nb_true_divide(op1, op2);
            return PyLong_FromLong(x);
        
    }
    #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("divide", return NULL)
            result = ((double)a) / (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
}
#endif

/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C00A6
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
  #else
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
  #endif
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE && PY_VERSION_HEX >= 0x030C00A6
    if (unlikely(tstate->current_exception))
#elif CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
      #endif
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* pep479 */
static void __Pyx_Generator_Replace_StopIteration(int in_async_gen) {
    PyObject *exc, *val, *tb, *cur_exc;
    __Pyx_PyThreadState_declare
    #ifdef __Pyx_StopAsyncIteration_USED
    int is_async_stopiteration = 0;
    #endif
    CYTHON_MAYBE_UNUSED_VAR(in_async_gen);
    cur_exc = PyErr_Occurred();
    if (likely(!__Pyx_PyErr_GivenExceptionMatches(cur_exc, PyExc_StopIteration))) {
        #ifdef __Pyx_StopAsyncIteration_USED
        if (in_async_gen && unlikely(__Pyx_PyErr_GivenExceptionMatches(cur_exc, __Pyx_PyExc_StopAsyncIteration))) {
            is_async_stopiteration = 1;
        } else
        #endif
            return;
    }
    __Pyx_PyThreadState_assign
    __Pyx_GetException(&exc, &val, &tb);
    Py_XDECREF(exc);
    Py_XDECREF(val);
    Py_XDECREF(tb);
    PyErr_SetString(PyExc_RuntimeError,
        #ifdef __Pyx_StopAsyncIteration_USED
        is_async_stopiteration ? "async generator raised StopAsyncIteration" :
        in_async_gen ? "async generator raised StopIteration" :
        #endif
        "generator raised StopIteration");
}

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

/* CallUnboundCMethod0 */
static PyObject* __Pyx__CallUnboundCMethod0(__Pyx_CachedCFunction* cfunc, PyObject* self) {
    PyObject *args, *result = NULL;
    if (unlikely(!cfunc->method) && unlikely(__Pyx_TryUnpackUnboundCMethod(cfunc) < 0)) return NULL;
#if CYTHON_ASSUME_SAFE_MACROS
    args = PyTuple_New(1);
    if (unlikely(!args)) goto bad;
    Py_INCREF(self);
    PyTuple_SET_ITEM(args, 0, self);
#else
    args = PyTuple_Pack(1, self);
    if (unlikely(!args)) goto bad;
#endif
    result = __Pyx_PyObject_Call(cfunc->method, args, NULL);
    Py_DECREF(args);
bad:
    return result;
}

/* pop */
static CYTHON_INLINE PyObject* __Pyx__PyObject_Pop(PyObject* L) {
    if (__Pyx_IS_TYPE(L, &PySet_Type)) {
        return PySet_Pop(L);
    }
    return __Pyx_PyObject_CallMethod0(L, __pyx_n_s_pop);
}
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE PyObject* __Pyx_PyList_Pop(PyObject* L) {
    if (likely(PyList_GET_SIZE(L) > (((PyListObject*)L)->allocated >> 1))) {
        __Pyx_SET_SIZE(L, Py_SIZE(L) - 1);
        return PyList_GET_ITEM(L, PyList_GET_SIZE(L));
    }
    return __Pyx_CallUnboundCMethod0(&__pyx_umethod_PyList_Type_pop, L);
}
#endif

/* FixUpExtensionType */
#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
#else
    const PyType_Slot *slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
        int changed = 0;
#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
        const
#endif
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
#if PY_VERSION_HEX < 0x030900b1
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    changed = 1;
                }
#endif
#else
                if ((0));
#endif
#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
                else if (strcmp(memb->name, "__module__") == 0) {
                    PyObject *descr;
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
                        Py_DECREF(descr);
                        return -1;
                    }
                    Py_DECREF(descr);
                    changed = 1;
                }
#endif
            }
            memb++;
        }
        if (changed)
            PyType_Modified(type);
    }
#endif
    return 0;
}
#endif

/* ValidateBasesTuple */
#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
    Py_ssize_t i, n;
#if CYTHON_ASSUME_SAFE_MACROS
    n = PyTuple_GET_SIZE(bases);
#else
    n = PyTuple_Size(bases);
    if (n < 0) return -1;
#endif
    for (i = 1; i < n; i++)
    {
#if CYTHON_AVOID_BORROWED_REFS
        PyObject *b0 = PySequence_GetItem(bases, i);
        if (!b0) return -1;
#elif CYTHON_ASSUME_SAFE_MACROS
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
#else
        PyObject *b0 = PyTuple_GetItem(bases, i);
        if (!b0) return -1;
#endif
        PyTypeObject *b;
#if PY_MAJOR_VERSION < 3
        if (PyClass_Check(b0))
        {
            PyErr_Format(PyExc_TypeError, "base class '%.200s' is an old-style class",
                         PyString_AS_STRING(((PyClassObject*)b0)->cl_name));
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
#if !CYTHON_USE_TYPE_SLOTS
        if (dictoffset == 0) {
            PyErr_Format(PyExc_TypeError,
                "extension type '%s.200s': "
                "unable to validate whether bases have a __dict__ "
                "when CYTHON_USE_TYPE_SLOTS is off "
                "(likely because you are building in the limited API). "
                "Therefore, all extension types with multiple bases "
                "must add 'cdef dict __dict__' in this compilation mode",
                type_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
#else
        if (dictoffset == 0 && b->tp_dictoffset)
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "extension type '%.200s' has no __dict__ slot, "
                "but base type '" __Pyx_FMT_TYPENAME "' has: "
                "either add 'cdef dict __dict__' to the extension type "
                "or add '__slots__ = [...]' to the base type",
                type_name, b_name);
            __Pyx_DECREF_TypeName(b_name);
#if CYTHON_AVOID_BORROWED_REFS
            Py_DECREF(b0);
#endif
            return -1;
        }
#endif
#if CYTHON_AVOID_BORROWED_REFS
        Py_DECREF(b0);
#endif
    }
    return 0;
}
#endif

/* PyType_Ready */
static int __Pyx_PyType_Ready(PyTypeObject *t) {
#if CYTHON_USE_TYPE_SPECS || !(CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API) || defined(PYSTON_MAJOR_VERSION)
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif
    return PyType_Ready(t);
#else
    int r;
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
    {
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;
    #else
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if PY_VERSION_HEX >= 0x030700a1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400)
        gc = PyImport_GetModule(__pyx_kp_u_gc);
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(__pyx_kp_u_gc);
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_isenabled);
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_disable);
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
#else
        (void)__Pyx_PyObject_CallMethod0;
#endif
    r = PyType_Ready(t);
#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;
    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, __pyx_kp_u_enable);
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                PyErr_Restore(tp, v, tb);
            } else {
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif
    return r;
#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) {
    __Pyx_TypeName type_name = __Pyx_PyType_GetName(tp);
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%U'",
                 type_name, attr_name);
#else
                 "'" __Pyx_FMT_TYPENAME "' object has no attribute '%.400s'",
                 type_name, PyString_AS_STRING(attr_name));
#endif
    __Pyx_DECREF_TypeName(type_name);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

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

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

/* GetVTable */
static void* __Pyx_GetVtable(PyTypeObject *type) {
    void* ptr;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *ob = PyObject_GetAttr((PyObject *)type, __pyx_n_s_pyx_vtable);
#else
    PyObject *ob = PyObject_GetItem(type->tp_dict, __pyx_n_s_pyx_vtable);
#endif
    if (!ob)
        goto bad;
    ptr = PyCapsule_GetPointer(ob, 0);
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

/* MergeVTables */
#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_MergeVtables(PyTypeObject *type) {
    int i;
    void** base_vtables;
    __Pyx_TypeName tp_base_name;
    __Pyx_TypeName base_name;
    void* unknown = (void*)-1;
    PyObject* bases = type->tp_bases;
    int base_depth = 0;
    {
        PyTypeObject* base = type->tp_base;
        while (base) {
            base_depth += 1;
            base = base->tp_base;
        }
    }
    base_vtables = (void**) malloc(sizeof(void*) * (size_t)(base_depth + 1));
    base_vtables[0] = unknown;
    for (i = 1; i < PyTuple_GET_SIZE(bases); i++) {
        void* base_vtable = __Pyx_GetVtable(((PyTypeObject*)PyTuple_GET_ITEM(bases, i)));
        if (base_vtable != NULL) {
            int j;
            PyTypeObject* base = type->tp_base;
            for (j = 0; j < base_depth; j++) {
                if (base_vtables[j] == unknown) {
                    base_vtables[j] = __Pyx_GetVtable(base);
                    base_vtables[j + 1] = unknown;
                }
                if (base_vtables[j] == base_vtable) {
                    break;
                } else if (base_vtables[j] == NULL) {
                    goto bad;
                }
                base = base->tp_base;
            }
        }
    }
    PyErr_Clear();
    free(base_vtables);
    return 0;
bad:
    tp_base_name = __Pyx_PyType_GetName(type->tp_base);
    base_name = __Pyx_PyType_GetName((PyTypeObject*)PyTuple_GET_ITEM(bases, i));
    PyErr_Format(PyExc_TypeError,
        "multiple bases have vtable conflict: '" __Pyx_FMT_TYPENAME "' and '" __Pyx_FMT_TYPENAME "'", tp_base_name, base_name);
    __Pyx_DECREF_TypeName(tp_base_name);
    __Pyx_DECREF_TypeName(base_name);
    free(base_vtables);
    return -1;
}
#endif

/* 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_getstate = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
    PyObject *getstate = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    getstate = _PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate);
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_getstate);
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_getstate);
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, __pyx_n_s_getstate);
        if (!object_getstate && PyErr_Occurred()) {
            goto __PYX_BAD;
        }
#endif
        if (object_getstate != getstate) {
            goto __PYX_GOOD;
        }
    }
#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()) {
        __Pyx_TypeName type_obj_name =
            __Pyx_PyType_GetName((PyTypeObject*)type_obj);
        PyErr_Format(PyExc_RuntimeError,
            "Unable to initialize pickling for " __Pyx_FMT_TYPENAME, type_obj_name);
        __Pyx_DECREF_TypeName(type_obj_name);
    }
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
    Py_XDECREF(object_getstate);
    Py_XDECREF(getstate);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
#endif

/* FetchSharedCythonModule */
static PyObject *__Pyx_FetchSharedCythonABIModule(void) {
    PyObject *abi_module = PyImport_AddModule((char*) __PYX_ABI_MODULE_NAME);
    if (unlikely(!abi_module)) return NULL;
    Py_INCREF(abi_module);
    return abi_module;
}

/* FetchCommonType */
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;
}
#if !CYTHON_USE_TYPE_SPECS
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* abi_module;
    const char* object_name;
    PyTypeObject *cached_type = NULL;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    object_name = strrchr(type->tp_name, '.');
    object_name = object_name ? object_name+1 : type->tp_name;
    cached_type = (PyTypeObject*) PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        if (__Pyx_VerifyCachedType(
              (PyObject *)cached_type,
              object_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, object_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;
}
#else
static PyTypeObject *__Pyx_FetchCommonTypeFromSpec(PyObject *module, PyType_Spec *spec, PyObject *bases) {
    PyObject *abi_module, *cached_type = NULL;
    const char* object_name = strrchr(spec->name, '.');
    object_name = object_name ? object_name+1 : spec->name;
    abi_module = __Pyx_FetchSharedCythonABIModule();
    if (!abi_module) return NULL;
    cached_type = PyObject_GetAttrString(abi_module, object_name);
    if (cached_type) {
        Py_ssize_t basicsize;
#if CYTHON_COMPILING_IN_LIMITED_API
        PyObject *py_basicsize;
        py_basicsize = PyObject_GetAttrString(cached_type, "__basicsize__");
        if (unlikely(!py_basicsize)) goto bad;
        basicsize = PyLong_AsSsize_t(py_basicsize);
        Py_DECREF(py_basicsize);
        py_basicsize = 0;
        if (unlikely(basicsize == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
#else
        basicsize = likely(PyType_Check(cached_type)) ? ((PyTypeObject*) cached_type)->tp_basicsize : -1;
#endif
        if (__Pyx_VerifyCachedType(
              cached_type,
              object_name,
              basicsize,
              spec->basicsize) < 0) {
            goto bad;
        }
        goto done;
    }
    if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
    PyErr_Clear();
    CYTHON_UNUSED_VAR(module);
    cached_type = __Pyx_PyType_FromModuleAndSpec(abi_module, spec, bases);
    if (unlikely(!cached_type)) goto bad;
    if (unlikely(__Pyx_fix_up_extension_type_from_spec(spec, (PyTypeObject *) cached_type) < 0)) goto bad;
    if (PyObject_SetAttrString(abi_module, object_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, size_t nargs, PyObject *kw)
{
    PyObject *res = NULL;
    PyObject *kwnames;
    PyObject **newargs;
    PyObject **kwvalues;
    Py_ssize_t i, pos;
    size_t j;
    PyObject *key, *value;
    unsigned long keys_are_strings;
    Py_ssize_t nkw = PyDict_GET_SIZE(kw);
    newargs = (PyObject **)PyMem_Malloc((nargs + (size_t)nkw) * sizeof(args[0]));
    if (unlikely(newargs == NULL)) {
        PyErr_NoMemory();
        return NULL;
    }
    for (j = 0; j < nargs; j++) newargs[j] = args[j];
    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, size_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 */
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    if (__Pyx_CyFunction_Check(func)) {
        return PyCFunction_GetFunction(((__pyx_CyFunctionObject*)func)->func) == (PyCFunction) cfunc;
    } else if (PyCFunction_Check(func)) {
        return PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
    }
    return 0;
}
#else
static CYTHON_INLINE int __Pyx__IsSameCyOrCFunction(PyObject *func, void *cfunc) {
    return __Pyx_CyOrPyCFunction_Check(func) && __Pyx_CyOrPyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
}
#endif
static CYTHON_INLINE void __Pyx__CyFunction_SetClassObj(__pyx_CyFunctionObject* f, PyObject* classobj) {
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    __Pyx_Py_XDECREF_SET(
        __Pyx_CyFunction_GetClassObj(f),
            ((classobj) ? __Pyx_NewRef(classobj) : NULL));
#else
    __Pyx_Py_XDECREF_SET(
        ((PyCMethodObject *) (f))->mm_class,
        (PyTypeObject*)((classobj) ? __Pyx_NewRef(classobj) : NULL));
#endif
}
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, void *closure)
{
    CYTHON_UNUSED_VAR(closure);
    if (unlikely(op->func_doc == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_doc = PyObject_GetAttrString(op->func, "__doc__");
        if (unlikely(!op->func_doc)) return NULL;
#else
        if (((PyCFunctionObject*)op)->m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(((PyCFunctionObject*)op)->m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
#endif
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(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, void *context)
{
    CYTHON_UNUSED_VAR(context);
    if (unlikely(op->func_name == NULL)) {
#if CYTHON_COMPILING_IN_LIMITED_API
        op->func_name = PyObject_GetAttrString(op->func, "__name__");
#elif PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(((PyCFunctionObject*)op)->m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(((PyCFunctionObject*)op)->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, void *context)
{
    CYTHON_UNUSED_VAR(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, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(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_dict(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(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, void *context)
{
    CYTHON_UNUSED_VAR(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, void *context)
{
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(__pyx_CyFunctionObject *op, void *context)
{
    CYTHON_UNUSED_VAR(op);
    CYTHON_UNUSED_VAR(context);
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    CYTHON_UNUSED_VAR(context);
    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 = __Pyx_PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = __Pyx_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, void *context) {
    CYTHON_UNUSED_VAR(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;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__defaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_tuple, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_tuple;
    CYTHON_UNUSED_VAR(context);
    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, void *context) {
    CYTHON_UNUSED_VAR(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;
    }
    PyErr_WarnEx(PyExc_RuntimeWarning, "changes to cyfunction.__kwdefaults__ will not "
                 "currently affect the values used in function calls", 1);
    Py_INCREF(value);
    __Pyx_Py_XDECREF_SET(op->defaults_kwdict, value);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, void *context) {
    PyObject* result = op->defaults_kwdict;
    CYTHON_UNUSED_VAR(context);
    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, void *context) {
    CYTHON_UNUSED_VAR(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, void *context) {
    PyObject* result = op->func_annotations;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyObject *
__Pyx_CyFunction_get_is_coroutine(__pyx_CyFunctionObject *op, void *context) {
    int is_coroutine;
    CYTHON_UNUSED_VAR(context);
    if (op->func_is_coroutine) {
        return __Pyx_NewRef(op->func_is_coroutine);
    }
    is_coroutine = op->flags & __Pyx_CYFUNCTION_COROUTINE;
#if PY_VERSION_HEX >= 0x03050000
    if (is_coroutine) {
        PyObject *module, *fromlist, *marker = __pyx_n_s_is_coroutine;
        fromlist = PyList_New(1);
        if (unlikely(!fromlist)) return NULL;
        Py_INCREF(marker);
#if CYTHON_ASSUME_SAFE_MACROS
        PyList_SET_ITEM(fromlist, 0, marker);
#else
        if (unlikely(PyList_SetItem(fromlist, 0, marker) < 0)) {
            Py_DECREF(marker);
            Py_DECREF(fromlist);
            return NULL;
        }
#endif
        module = PyImport_ImportModuleLevelObject(__pyx_n_s_asyncio_coroutines, NULL, NULL, fromlist, 0);
        Py_DECREF(fromlist);
        if (unlikely(!module)) goto ignore;
        op->func_is_coroutine = __Pyx_PyObject_GetAttrStr(module, marker);
        Py_DECREF(module);
        if (likely(op->func_is_coroutine)) {
            return __Pyx_NewRef(op->func_is_coroutine);
        }
ignore:
        PyErr_Clear();
    }
#endif
    op->func_is_coroutine = __Pyx_PyBool_FromLong(is_coroutine);
    return __Pyx_NewRef(op->func_is_coroutine);
}
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *
__Pyx_CyFunction_get_module(__pyx_CyFunctionObject *op, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_GetAttrString(op->func, "__module__");
}
static int
__Pyx_CyFunction_set_module(__pyx_CyFunctionObject *op, PyObject* value, void *context) {
    CYTHON_UNUSED_VAR(context);
    return PyObject_SetAttrString(op->func, "__module__", value);
}
#endif
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 *) "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},
    {(char *) "_is_coroutine", (getter)__Pyx_CyFunction_get_is_coroutine, 0, 0, 0},
#if CYTHON_COMPILING_IN_LIMITED_API
    {"__module__", (getter)__Pyx_CyFunction_get_module, (setter)__Pyx_CyFunction_set_module, 0, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
#if !CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), 0, 0},
#endif
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__dictoffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_dict), READONLY, 0},
#if CYTHON_METH_FASTCALL
#if CYTHON_BACKPORT_VECTORCALL
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(__pyx_CyFunctionObject, func_vectorcall), READONLY, 0},
#else
#if !CYTHON_COMPILING_IN_LIMITED_API
    {(char *) "__vectorcalloffset__", T_PYSSIZET, offsetof(PyCFunctionObject, vectorcall), READONLY, 0},
#endif
#endif
#endif
#if PY_VERSION_HEX < 0x030500A0 || CYTHON_COMPILING_IN_LIMITED_API
    {(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, PyObject *args)
{
    CYTHON_UNUSED_VAR(args);
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(((PyCFunctionObject*)m)->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 || CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) (((PyCFunctionObject*)cyfunc)->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 !CYTHON_COMPILING_IN_LIMITED_API
    PyCFunctionObject *cf = (PyCFunctionObject*) op;
#endif
    if (unlikely(op == NULL))
        return NULL;
#if CYTHON_COMPILING_IN_LIMITED_API
    op->func = PyCFunction_NewEx(ml, (PyObject*)op, module);
    if (unlikely(!op->func)) return NULL;
#endif
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
#if !CYTHON_COMPILING_IN_LIMITED_API
    cf->m_ml = ml;
    cf->m_self = (PyObject *) op;
#endif
    Py_XINCREF(closure);
    op->func_closure = closure;
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_XINCREF(module);
    cf->m_module = module;
#endif
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
#if PY_VERSION_HEX < 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    op->func_classobj = NULL;
#else
    ((PyCMethodObject*)op)->mm_class = NULL;
#endif
    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;
    op->func_is_coroutine = NULL;
#if CYTHON_METH_FASTCALL
    switch (ml->ml_flags & (METH_VARARGS | METH_FASTCALL | METH_NOARGS | METH_O | METH_KEYWORDS | METH_METHOD)) {
    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_METHOD | METH_FASTCALL | METH_KEYWORDS:
        __Pyx_CyFunction_func_vectorcall(op) = __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD;
        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");
        Py_DECREF(op);
        return NULL;
    }
#endif
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_CLEAR(m->func);
#else
    Py_CLEAR(((PyCFunctionObject*)m)->m_module);
#endif
    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);
#if !CYTHON_COMPILING_IN_LIMITED_API
#if PY_VERSION_HEX < 0x030900B1
    Py_CLEAR(__Pyx_CyFunction_GetClassObj(m));
#else
    {
        PyObject *cls = (PyObject*) ((PyCMethodObject *) (m))->mm_class;
        ((PyCMethodObject *) (m))->mm_class = NULL;
        Py_XDECREF(cls);
    }
#endif
#endif
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    Py_CLEAR(m->func_is_coroutine);
    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);
    __Pyx_PyHeapTypeObject_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);
#if CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(m->func);
#else
    Py_VISIT(((PyCFunctionObject*)m)->m_module);
#endif
    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);
#if !CYTHON_COMPILING_IN_LIMITED_API
    Py_VISIT(__Pyx_CyFunction_GetClassObj(m));
#endif
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    Py_VISIT(m->func_is_coroutine);
    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) {
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *f = ((__pyx_CyFunctionObject*)func)->func;
    PyObject *py_name = NULL;
    PyCFunction meth;
    int flags;
    meth = PyCFunction_GetFunction(f);
    if (unlikely(!meth)) return NULL;
    flags = PyCFunction_GetFlags(f);
    if (unlikely(flags < 0)) return NULL;
#else
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    int flags = f->m_ml->ml_flags;
#endif
    Py_ssize_t size;
    switch (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)) {
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 0))
                return (*meth)(self, NULL);
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
#if CYTHON_ASSUME_SAFE_MACROS
            size = PyTuple_GET_SIZE(arg);
#else
            size = PyTuple_Size(arg);
            if (unlikely(size < 0)) return NULL;
#endif
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = __Pyx_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;
            }
#if CYTHON_COMPILING_IN_LIMITED_API
            py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
            if (!py_name) return NULL;
            PyErr_Format(PyExc_TypeError,
                "%.200S() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                py_name, size);
            Py_DECREF(py_name);
#else
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
#endif
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags for CyFunction");
        return NULL;
    }
#if CYTHON_COMPILING_IN_LIMITED_API
    py_name = __Pyx_CyFunction_get_name((__pyx_CyFunctionObject*)func, NULL);
    if (!py_name) return NULL;
    PyErr_Format(PyExc_TypeError, "%.200S() takes no keyword arguments",
                 py_name);
    Py_DECREF(py_name);
#else
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
#endif
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *self, *result;
#if CYTHON_COMPILING_IN_LIMITED_API
    self = PyCFunction_GetSelf(((__pyx_CyFunctionObject*)func)->func);
    if (unlikely(!self) && PyErr_Occurred()) return NULL;
#else
    self = ((PyCFunctionObject*)func)->m_self;
#endif
    result = __Pyx_CyFunction_CallMethod(func, self, arg, kw);
    return result;
}
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) {
#if CYTHON_ASSUME_SAFE_MACROS
        return __Pyx_PyVectorcall_FastCallDict(func, vc, &PyTuple_GET_ITEM(args, 0), (size_t)PyTuple_GET_SIZE(args), kw);
#else
        (void) &__Pyx_PyVectorcall_FastCallDict;
        return PyVectorcall_Call(func, args, kw);
#endif
    }
#endif
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
#if CYTHON_ASSUME_SAFE_MACROS
        argc = PyTuple_GET_SIZE(args);
#else
        argc = PyTuple_Size(args);
        if (unlikely(!argc) < 0) return NULL;
#endif
        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);
#if PY_MAJOR_VERSION > 2
            PyErr_Format(PyExc_TypeError,
                         "unbound method %.200S() needs an argument",
                         cyfunc->func_qualname);
#else
            PyErr_SetString(PyExc_TypeError,
                            "unbound method needs an argument");
#endif
            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",
                         ((PyCFunctionObject*)cyfunc)->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", ((PyCFunctionObject*)cyfunc)->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 = ((PyCFunctionObject*)cyfunc)->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 = ((PyCFunctionObject*)cyfunc)->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 = ((PyCFunctionObject*)cyfunc)->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 = ((PyCFunctionObject*)cyfunc)->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 = ((PyCFunctionObject*)cyfunc)->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 = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((_PyCFunctionFastWithKeywords)(void(*)(void))def->ml_meth)(self, args, nargs, kwnames);
}
static PyObject * __Pyx_CyFunction_Vectorcall_FASTCALL_KEYWORDS_METHOD(PyObject *func, PyObject *const *args, size_t nargsf, PyObject *kwnames)
{
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *)func;
    PyMethodDef* def = ((PyCFunctionObject*)cyfunc)->m_ml;
    PyTypeObject *cls = (PyTypeObject *) __Pyx_CyFunction_GetClassObj(cyfunc);
#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 = ((PyCFunctionObject*)cyfunc)->m_self;
        break;
    default:
        return NULL;
    }
    return ((__Pyx_PyCMethod)(void(*)(void))def->ml_meth)(self, cls, args, (size_t)nargs, kwnames);
}
#endif
#if CYTHON_USE_TYPE_SPECS
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 = {
    __PYX_TYPE_MODULE_PREFIX "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
#ifdef Py_TPFLAGS_METHOD_DESCRIPTOR
    Py_TPFLAGS_METHOD_DESCRIPTOR |
#endif
#if (defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL)
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    __pyx_CyFunctionType_slots
};
#else
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "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(PyCFunctionObject, 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
#if defined(_Py_TPFLAGS_HAVE_VECTORCALL) && CYTHON_METH_FASTCALL
    _Py_TPFLAGS_HAVE_VECTORCALL |
#endif
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    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 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_CyFunction_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_CyFunctionType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_CyFunctionType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __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;
}

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    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;
        (void) 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 PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result;
        result = PyObject_Call(replace, __pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    #if __PYX_LIMITED_VERSION_HEX < 0x030780000
    PyErr_Clear();
    {
        PyObject *compiled = NULL, *result = NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "code", code))) return NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "type", (PyObject*)(&PyType_Type)))) return NULL;
        compiled = Py_CompileString(
            "out = type(code)(\n"
            "  code.co_argcount, code.co_kwonlyargcount, code.co_nlocals, code.co_stacksize,\n"
            "  code.co_flags, code.co_code, code.co_consts, code.co_names,\n"
            "  code.co_varnames, code.co_filename, co_name, co_firstlineno,\n"
            "  code.co_lnotab)\n", "<dummy>", Py_file_input);
        if (!compiled) return NULL;
        result = PyEval_EvalCode(compiled, scratch_dict, scratch_dict);
        Py_DECREF(compiled);
        if (!result) PyErr_Print();
        Py_DECREF(result);
        result = PyDict_GetItemString(scratch_dict, "out");
        if (result) Py_INCREF(result);
        return result;
    }
    #endif
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
    if (unlikely(!code_object)) goto bad;
    py_py_line = PyLong_FromLong(py_line);
    if (unlikely(!py_py_line)) goto bad;
    py_funcname = PyUnicode_FromString(funcname);
    if (unlikely(!py_funcname)) goto bad;
    dict = PyDict_New();
    if (unlikely(!dict)) goto bad;
    {
        PyObject *old_code_object = code_object;
        code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
        Py_DECREF(old_code_object);
    }
    if (unlikely(!code_object)) goto bad;
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    PyErr_Restore(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    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);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    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;
    PyObject *ptype, *pvalue, *ptraceback;
    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) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __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;\
    }

/* CIntFromPy */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    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 && PY_VERSION_HEX < 0x030C00A7
            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
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    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
            }
        }
        {
            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 ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (int) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (int) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (int) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (int) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (int) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((int) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((int) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
#else
        PyObject *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyInt_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(int));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        kwds = PyDict_New();
        if (!kwds) goto limited_bad;
        if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(!is_unsigned ? Py_True : Py_False))) goto limited_bad;
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(from_bytes);
        Py_XDECREF(py_bytes);
        Py_XDECREF(order_str);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(kwds);
        return result;
#endif
    }
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        PyObject *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyInt_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        kwds = PyDict_New();
        if (!kwds) goto limited_bad;
        if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(!is_unsigned ? Py_True : Py_False))) goto limited_bad;
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(from_bytes);
        Py_XDECREF(py_bytes);
        Py_XDECREF(order_str);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(kwds);
        return result;
#endif
    }
}

/* CIntToPy */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_int(unsigned int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const unsigned int neg_one = (unsigned int) -1, const_zero = (unsigned int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(unsigned int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(unsigned int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(unsigned int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(unsigned int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(unsigned int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
#if !CYTHON_COMPILING_IN_LIMITED_API
        return _PyLong_FromByteArray(bytes, sizeof(unsigned int),
                                     little, !is_unsigned);
#else
        PyObject *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyInt_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(unsigned int));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        kwds = PyDict_New();
        if (!kwds) goto limited_bad;
        if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(!is_unsigned ? Py_True : Py_False))) goto limited_bad;
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(from_bytes);
        Py_XDECREF(py_bytes);
        Py_XDECREF(order_str);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(kwds);
        return result;
#endif
    }
}

/* CIntFromPy */
static CYTHON_INLINE unsigned int __Pyx_PyInt_As_unsigned_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const unsigned int neg_one = (unsigned int) -1, const_zero = (unsigned int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(unsigned int) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(unsigned int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (unsigned int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(unsigned int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    case 2:
                        if ((8 * sizeof(unsigned int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned int) >= 2 * PyLong_SHIFT)) {
                                return (unsigned int) (((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(unsigned int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned int) >= 3 * PyLong_SHIFT)) {
                                return (unsigned int) (((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(unsigned int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned 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(unsigned int) >= 4 * PyLong_SHIFT)) {
                                return (unsigned int) (((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
                            }
                        }
                        break;
                }
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A7
            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 int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if ((sizeof(unsigned int) <= sizeof(unsigned long))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(unsigned int) <= sizeof(unsigned PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(unsigned int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    case -2:
                        if ((8 * sizeof(unsigned int) - 1 > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT)) {
                                return (unsigned int) (((unsigned int)-1)*(((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                            }
                        }
                        break;
                    case 2:
                        if ((8 * sizeof(unsigned int) > 1 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 2 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT)) {
                                return (unsigned int) ((((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                            }
                        }
                        break;
                    case -3:
                        if ((8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT)) {
                                return (unsigned int) (((unsigned int)-1)*(((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                            }
                        }
                        break;
                    case 3:
                        if ((8 * sizeof(unsigned int) > 2 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 3 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                            } else if ((8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT)) {
                                return (unsigned int) ((((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                            }
                        }
                        break;
                    case -4:
                        if ((8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned 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(unsigned int) - 1 > 4 * PyLong_SHIFT)) {
                                return (unsigned int) (((unsigned int)-1)*(((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                            }
                        }
                        break;
                    case 4:
                        if ((8 * sizeof(unsigned int) > 3 * PyLong_SHIFT)) {
                            if ((8 * sizeof(unsigned long) > 4 * PyLong_SHIFT)) {
                                __PYX_VERIFY_RETURN_INT(unsigned 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(unsigned int) - 1 > 4 * PyLong_SHIFT)) {
                                return (unsigned int) ((((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                            }
                        }
                        break;
                }
            }
#endif
            if ((sizeof(unsigned int) <= sizeof(long))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if ((sizeof(unsigned int) <= sizeof(PY_LONG_LONG))) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
            unsigned 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 ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (unsigned int) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (unsigned int) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (unsigned int) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (unsigned int) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (unsigned int) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(unsigned int) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((unsigned int) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(unsigned int) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((unsigned int) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((unsigned int) 1) << (sizeof(unsigned int) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            return (unsigned int) -1;
        }
    } else {
        unsigned int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (unsigned int) -1;
        val = __Pyx_PyInt_As_unsigned_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to unsigned int");
    return (unsigned int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to unsigned int");
    return (unsigned int) -1;
}

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XDECREF(name);
        name = __Pyx_NewRef(__pyx_n_s__112);
    }
    return name;
}
#endif

/* CIntFromPy */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if ((sizeof(long) < sizeof(long))) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    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 && PY_VERSION_HEX < 0x030C00A7
            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
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    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
            }
        }
        {
            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 ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (long) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (long) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (long) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (long) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (long) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((long) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((long) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            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 = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        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);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, 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) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
#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

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_value = exc_info->exc_value;
    exc_info->exc_value = *value;
    if (tmp_value == NULL || tmp_value == Py_None) {
        Py_XDECREF(tmp_value);
        tmp_value = NULL;
        tmp_type = NULL;
        tmp_tb = NULL;
    } else {
        tmp_type = (PyObject*) Py_TYPE(tmp_value);
        Py_INCREF(tmp_type);
        #if CYTHON_COMPILING_IN_CPYTHON
        tmp_tb = ((PyBaseExceptionObject*) tmp_value)->traceback;
        Py_XINCREF(tmp_tb);
        #else
        tmp_tb = PyException_GetTraceback(tmp_value);
        #endif
    }
  #elif CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
  #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
  #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* PyObjectCall2Args */
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args[3] = {NULL, arg1, arg2};
    return __Pyx_PyObject_FastCall(function, args+1, 2 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
}

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

/* CoroutineBase */
#include <frameobject.h>
#if PY_VERSION_HEX >= 0x030b00a6
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#define __Pyx_Coroutine_Undelegate(gen) Py_CLEAR((gen)->yieldfrom)
static int __Pyx_PyGen__FetchStopIterationValue(PyThreadState *__pyx_tstate, PyObject **pvalue) {
    PyObject *et, *ev, *tb;
    PyObject *value = NULL;
    CYTHON_UNUSED_VAR(__pyx_tstate);
    __Pyx_ErrFetch(&et, &ev, &tb);
    if (!et) {
        Py_XDECREF(tb);
        Py_XDECREF(ev);
        Py_INCREF(Py_None);
        *pvalue = Py_None;
        return 0;
    }
    if (likely(et == PyExc_StopIteration)) {
        if (!ev) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#if PY_VERSION_HEX >= 0x030300A0
        else if (likely(__Pyx_IS_TYPE(ev, (PyTypeObject*)PyExc_StopIteration))) {
            value = ((PyStopIterationObject *)ev)->value;
            Py_INCREF(value);
            Py_DECREF(ev);
        }
#endif
        else if (unlikely(PyTuple_Check(ev))) {
            if (PyTuple_GET_SIZE(ev) >= 1) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                value = PyTuple_GET_ITEM(ev, 0);
                Py_INCREF(value);
#else
                value = PySequence_ITEM(ev, 0);
#endif
            } else {
                Py_INCREF(Py_None);
                value = Py_None;
            }
            Py_DECREF(ev);
        }
        else if (!__Pyx_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration)) {
            value = ev;
        }
        if (likely(value)) {
            Py_XDECREF(tb);
            Py_DECREF(et);
            *pvalue = value;
            return 0;
        }
    } else if (!__Pyx_PyErr_GivenExceptionMatches(et, PyExc_StopIteration)) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    PyErr_NormalizeException(&et, &ev, &tb);
    if (unlikely(!PyObject_TypeCheck(ev, (PyTypeObject*)PyExc_StopIteration))) {
        __Pyx_ErrRestore(et, ev, tb);
        return -1;
    }
    Py_XDECREF(tb);
    Py_DECREF(et);
#if PY_VERSION_HEX >= 0x030300A0
    value = ((PyStopIterationObject *)ev)->value;
    Py_INCREF(value);
    Py_DECREF(ev);
#else
    {
        PyObject* args = __Pyx_PyObject_GetAttrStr(ev, __pyx_n_s_args);
        Py_DECREF(ev);
        if (likely(args)) {
            value = PySequence_GetItem(args, 0);
            Py_DECREF(args);
        }
        if (unlikely(!value)) {
            __Pyx_ErrRestore(NULL, NULL, NULL);
            Py_INCREF(Py_None);
            value = Py_None;
        }
    }
#endif
    *pvalue = value;
    return 0;
}
static CYTHON_INLINE
void __Pyx_Coroutine_ExceptionClear(__Pyx_ExcInfoStruct *exc_state) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_CLEAR(exc_state->exc_value);
#else
    PyObject *t, *v, *tb;
    t = exc_state->exc_type;
    v = exc_state->exc_value;
    tb = exc_state->exc_traceback;
    exc_state->exc_type = NULL;
    exc_state->exc_value = NULL;
    exc_state->exc_traceback = NULL;
    Py_XDECREF(t);
    Py_XDECREF(v);
    Py_XDECREF(tb);
#endif
}
#define __Pyx_Coroutine_AlreadyRunningError(gen)  (__Pyx__Coroutine_AlreadyRunningError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyRunningError(__pyx_CoroutineObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check((PyObject*)gen)) {
        msg = "coroutine already executing";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact((PyObject*)gen)) {
        msg = "async generator already executing";
    #endif
    } else {
        msg = "generator already executing";
    }
    PyErr_SetString(PyExc_ValueError, msg);
}
#define __Pyx_Coroutine_NotStartedError(gen)  (__Pyx__Coroutine_NotStartedError(gen), (PyObject*)NULL)
static void __Pyx__Coroutine_NotStartedError(PyObject *gen) {
    const char *msg;
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if ((0)) {
    #ifdef __Pyx_Coroutine_USED
    } else if (__Pyx_Coroutine_Check(gen)) {
        msg = "can't send non-None value to a just-started coroutine";
    #endif
    #ifdef __Pyx_AsyncGen_USED
    } else if (__Pyx_AsyncGen_CheckExact(gen)) {
        msg = "can't send non-None value to a just-started async generator";
    #endif
    } else {
        msg = "can't send non-None value to a just-started generator";
    }
    PyErr_SetString(PyExc_TypeError, msg);
}
#define __Pyx_Coroutine_AlreadyTerminatedError(gen, value, closing)  (__Pyx__Coroutine_AlreadyTerminatedError(gen, value, closing), (PyObject*)NULL)
static void __Pyx__Coroutine_AlreadyTerminatedError(PyObject *gen, PyObject *value, int closing) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    CYTHON_MAYBE_UNUSED_VAR(closing);
    #ifdef __Pyx_Coroutine_USED
    if (!closing && __Pyx_Coroutine_Check(gen)) {
        PyErr_SetString(PyExc_RuntimeError, "cannot reuse already awaited coroutine");
    } else
    #endif
    if (value) {
        #ifdef __Pyx_AsyncGen_USED
        if (__Pyx_AsyncGen_CheckExact(gen))
            PyErr_SetNone(__Pyx_PyExc_StopAsyncIteration);
        else
        #endif
        PyErr_SetNone(PyExc_StopIteration);
    }
}
static
PyObject *__Pyx_Coroutine_SendEx(__pyx_CoroutineObject *self, PyObject *value, int closing) {
    __Pyx_PyThreadState_declare
    PyThreadState *tstate;
    __Pyx_ExcInfoStruct *exc_state;
    PyObject *retval;
    assert(!self->is_running);
    if (unlikely(self->resume_label == 0)) {
        if (unlikely(value && value != Py_None)) {
            return __Pyx_Coroutine_NotStartedError((PyObject*)self);
        }
    }
    if (unlikely(self->resume_label == -1)) {
        return __Pyx_Coroutine_AlreadyTerminatedError((PyObject*)self, value, closing);
    }
#if CYTHON_FAST_THREAD_STATE
    __Pyx_PyThreadState_assign
    tstate = __pyx_tstate;
#else
    tstate = __Pyx_PyThreadState_Current;
#endif
    exc_state = &self->gi_exc_state;
    if (exc_state->exc_value) {
        #if CYTHON_COMPILING_IN_PYPY
        #else
        PyObject *exc_tb;
        #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
        exc_tb = PyException_GetTraceback(exc_state->exc_value);
        #elif PY_VERSION_HEX >= 0x030B00a4
        exc_tb = ((PyBaseExceptionObject*) exc_state->exc_value)->traceback;
        #else
        exc_tb = exc_state->exc_traceback;
        #endif
        if (exc_tb) {
            PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
            PyFrameObject *f = tb->tb_frame;
            assert(f->f_back == NULL);
            #if PY_VERSION_HEX >= 0x030B00A1
            f->f_back = PyThreadState_GetFrame(tstate);
            #else
            Py_XINCREF(tstate->frame);
            f->f_back = tstate->frame;
            #endif
            #if PY_VERSION_HEX >= 0x030B00a4 && !CYTHON_COMPILING_IN_CPYTHON
            Py_DECREF(exc_tb);
            #endif
        }
        #endif
    }
#if CYTHON_USE_EXC_INFO_STACK
    exc_state->previous_item = tstate->exc_info;
    tstate->exc_info = exc_state;
#else
    if (exc_state->exc_type) {
        __Pyx_ExceptionSwap(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    } else {
        __Pyx_Coroutine_ExceptionClear(exc_state);
        __Pyx_ExceptionSave(&exc_state->exc_type, &exc_state->exc_value, &exc_state->exc_traceback);
    }
#endif
    self->is_running = 1;
    retval = self->body(self, tstate, value);
    self->is_running = 0;
#if CYTHON_USE_EXC_INFO_STACK
    exc_state = &self->gi_exc_state;
    tstate->exc_info = exc_state->previous_item;
    exc_state->previous_item = NULL;
    __Pyx_Coroutine_ResetFrameBackpointer(exc_state);
#endif
    return retval;
}
static CYTHON_INLINE void __Pyx_Coroutine_ResetFrameBackpointer(__Pyx_ExcInfoStruct *exc_state) {
#if CYTHON_COMPILING_IN_PYPY
    CYTHON_UNUSED_VAR(exc_state);
#else
    PyObject *exc_tb;
    #if PY_VERSION_HEX >= 0x030B00a4
    if (!exc_state->exc_value) return;
    exc_tb = PyException_GetTraceback(exc_state->exc_value);
    #else
    exc_tb = exc_state->exc_traceback;
    #endif
    if (likely(exc_tb)) {
        PyTracebackObject *tb = (PyTracebackObject *) exc_tb;
        PyFrameObject *f = tb->tb_frame;
        Py_CLEAR(f->f_back);
        #if PY_VERSION_HEX >= 0x030B00a4
        Py_DECREF(exc_tb);
        #endif
    }
#endif
}
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_MethodReturn(PyObject* gen, PyObject *retval) {
    CYTHON_MAYBE_UNUSED_VAR(gen);
    if (unlikely(!retval)) {
        __Pyx_PyThreadState_declare
        __Pyx_PyThreadState_assign
        if (!__Pyx_PyErr_Occurred()) {
            PyObject *exc = PyExc_StopIteration;
            #ifdef __Pyx_AsyncGen_USED
            if (__Pyx_AsyncGen_CheckExact(gen))
                exc = __Pyx_PyExc_StopAsyncIteration;
            #endif
            __Pyx_PyErr_SetNone(exc);
        }
    }
    return retval;
}
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
static CYTHON_INLINE
PyObject *__Pyx_PyGen_Send(PyGenObject *gen, PyObject *arg) {
#if PY_VERSION_HEX <= 0x030A00A1
    return _PyGen_Send(gen, arg);
#else
    PyObject *result;
    if (PyIter_Send((PyObject*)gen, arg ? arg : Py_None, &result) == PYGEN_RETURN) {
        if (PyAsyncGen_CheckExact(gen)) {
            assert(result == Py_None);
            PyErr_SetNone(PyExc_StopAsyncIteration);
        }
        else if (result == Py_None) {
            PyErr_SetNone(PyExc_StopIteration);
        }
        else {
            _PyGen_SetStopIterationValue(result);
        }
        Py_CLEAR(result);
    }
    return result;
#endif
}
#endif
static CYTHON_INLINE
PyObject *__Pyx_Coroutine_FinishDelegation(__pyx_CoroutineObject *gen) {
    PyObject *ret;
    PyObject *val = NULL;
    __Pyx_Coroutine_Undelegate(gen);
    __Pyx_PyGen__FetchStopIterationValue(__Pyx_PyThreadState_Current, &val);
    ret = __Pyx_Coroutine_SendEx(gen, val, 0);
    Py_XDECREF(val);
    return ret;
}
static PyObject *__Pyx_Coroutine_Send(PyObject *self, PyObject *value) {
    PyObject *retval;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, value);
        } else
        #endif
        #ifdef __Pyx_AsyncGen_USED
        if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
            ret = __Pyx_async_gen_asend_send(yf, value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03050000 && defined(PyCoro_CheckExact) && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyCoro_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, value == Py_None ? NULL : value);
        } else
        #endif
        {
            if (value == Py_None)
                ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
            else
                ret = __Pyx_PyObject_CallMethod1(yf, __pyx_n_s_send, value);
        }
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        retval = __Pyx_Coroutine_FinishDelegation(gen);
    } else {
        retval = __Pyx_Coroutine_SendEx(gen, value, 0);
    }
    return __Pyx_Coroutine_MethodReturn(self, retval);
}
static int __Pyx_Coroutine_CloseIter(__pyx_CoroutineObject *gen, PyObject *yf) {
    PyObject *retval = NULL;
    int err = 0;
    #ifdef __Pyx_Generator_USED
    if (__Pyx_Generator_CheckExact(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_Coroutine_USED
    if (__Pyx_Coroutine_Check(yf)) {
        retval = __Pyx_Coroutine_Close(yf);
        if (!retval)
            return -1;
    } else
    if (__Pyx_CoroutineAwait_CheckExact(yf)) {
        retval = __Pyx_CoroutineAwait_Close((__pyx_CoroutineAwaitObject*)yf, NULL);
        if (!retval)
            return -1;
    } else
    #endif
    #ifdef __Pyx_AsyncGen_USED
    if (__pyx_PyAsyncGenASend_CheckExact(yf)) {
        retval = __Pyx_async_gen_asend_close(yf, NULL);
    } else
    if (__pyx_PyAsyncGenAThrow_CheckExact(yf)) {
        retval = __Pyx_async_gen_athrow_close(yf, NULL);
    } else
    #endif
    {
        PyObject *meth;
        gen->is_running = 1;
        meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_close);
        if (unlikely(!meth)) {
            if (unlikely(PyErr_Occurred())) {
                PyErr_WriteUnraisable(yf);
            }
        } else {
            retval = __Pyx_PyObject_CallNoArg(meth);
            Py_DECREF(meth);
            if (unlikely(!retval))
                err = -1;
        }
        gen->is_running = 0;
    }
    Py_XDECREF(retval);
    return err;
}
static PyObject *__Pyx_Generator_Next(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject*) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        gen->is_running = 1;
        #ifdef __Pyx_Generator_USED
        if (__Pyx_Generator_CheckExact(yf)) {
            ret = __Pyx_Generator_Next(yf);
        } else
        #endif
        #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03030000 && (defined(__linux__) || PY_VERSION_HEX >= 0x030600B3)
        if (PyGen_CheckExact(yf)) {
            ret = __Pyx_PyGen_Send((PyGenObject*)yf, NULL);
        } else
        #endif
        #ifdef __Pyx_Coroutine_USED
        if (__Pyx_Coroutine_Check(yf)) {
            ret = __Pyx_Coroutine_Send(yf, Py_None);
        } else
        #endif
            ret = __Pyx_PyObject_GetIterNextFunc(yf)(yf);
        gen->is_running = 0;
        if (likely(ret)) {
            return ret;
        }
        return __Pyx_Coroutine_FinishDelegation(gen);
    }
    return __Pyx_Coroutine_SendEx(gen, Py_None, 0);
}
static PyObject *__Pyx_Coroutine_Close_Method(PyObject *self, PyObject *arg) {
    CYTHON_UNUSED_VAR(arg);
    return __Pyx_Coroutine_Close(self);
}
static PyObject *__Pyx_Coroutine_Close(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *retval, *raised_exception;
    PyObject *yf = gen->yieldfrom;
    int err = 0;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        Py_INCREF(yf);
        err = __Pyx_Coroutine_CloseIter(gen, yf);
        __Pyx_Coroutine_Undelegate(gen);
        Py_DECREF(yf);
    }
    if (err == 0)
        PyErr_SetNone(PyExc_GeneratorExit);
    retval = __Pyx_Coroutine_SendEx(gen, NULL, 1);
    if (unlikely(retval)) {
        const char *msg;
        Py_DECREF(retval);
        if ((0)) {
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_Coroutine_Check(self)) {
            msg = "coroutine ignored GeneratorExit";
        #endif
        #ifdef __Pyx_AsyncGen_USED
        } else if (__Pyx_AsyncGen_CheckExact(self)) {
#if PY_VERSION_HEX < 0x03060000
            msg = "async generator ignored GeneratorExit - might require Python 3.6+ finalisation (PEP 525)";
#else
            msg = "async generator ignored GeneratorExit";
#endif
        #endif
        } else {
            msg = "generator ignored GeneratorExit";
        }
        PyErr_SetString(PyExc_RuntimeError, msg);
        return NULL;
    }
    raised_exception = PyErr_Occurred();
    if (likely(!raised_exception || __Pyx_PyErr_GivenExceptionMatches2(raised_exception, PyExc_GeneratorExit, PyExc_StopIteration))) {
        if (raised_exception) PyErr_Clear();
        Py_INCREF(Py_None);
        return Py_None;
    }
    return NULL;
}
static PyObject *__Pyx__Coroutine_Throw(PyObject *self, PyObject *typ, PyObject *val, PyObject *tb,
                                        PyObject *args, int close_on_genexit) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject *yf = gen->yieldfrom;
    if (unlikely(gen->is_running))
        return __Pyx_Coroutine_AlreadyRunningError(gen);
    if (yf) {
        PyObject *ret;
        Py_INCREF(yf);
        if (__Pyx_PyErr_GivenExceptionMatches(typ, PyExc_GeneratorExit) && close_on_genexit) {
            int err = __Pyx_Coroutine_CloseIter(gen, yf);
            Py_DECREF(yf);
            __Pyx_Coroutine_Undelegate(gen);
            if (err < 0)
                return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
            goto throw_here;
        }
        gen->is_running = 1;
        if (0
        #ifdef __Pyx_Generator_USED
            || __Pyx_Generator_CheckExact(yf)
        #endif
        #ifdef __Pyx_Coroutine_USED
            || __Pyx_Coroutine_Check(yf)
        #endif
            ) {
            ret = __Pyx__Coroutine_Throw(yf, typ, val, tb, args, close_on_genexit);
        #ifdef __Pyx_Coroutine_USED
        } else if (__Pyx_CoroutineAwait_CheckExact(yf)) {
            ret = __Pyx__Coroutine_Throw(((__pyx_CoroutineAwaitObject*)yf)->coroutine, typ, val, tb, args, close_on_genexit);
        #endif
        } else {
            PyObject *meth = __Pyx_PyObject_GetAttrStrNoError(yf, __pyx_n_s_throw);
            if (unlikely(!meth)) {
                Py_DECREF(yf);
                if (unlikely(PyErr_Occurred())) {
                    gen->is_running = 0;
                    return NULL;
                }
                __Pyx_Coroutine_Undelegate(gen);
                gen->is_running = 0;
                goto throw_here;
            }
            if (likely(args)) {
                ret = __Pyx_PyObject_Call(meth, args, NULL);
            } else {
                PyObject *cargs[4] = {NULL, typ, val, tb};
                ret = __Pyx_PyObject_FastCall(meth, cargs+1, 3 | __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET);
            }
            Py_DECREF(meth);
        }
        gen->is_running = 0;
        Py_DECREF(yf);
        if (!ret) {
            ret = __Pyx_Coroutine_FinishDelegation(gen);
        }
        return __Pyx_Coroutine_MethodReturn(self, ret);
    }
throw_here:
    __Pyx_Raise(typ, val, tb, NULL);
    return __Pyx_Coroutine_MethodReturn(self, __Pyx_Coroutine_SendEx(gen, NULL, 0));
}
static PyObject *__Pyx_Coroutine_Throw(PyObject *self, PyObject *args) {
    PyObject *typ;
    PyObject *val = NULL;
    PyObject *tb = NULL;
    if (unlikely(!PyArg_UnpackTuple(args, (char *)"throw", 1, 3, &typ, &val, &tb)))
        return NULL;
    return __Pyx__Coroutine_Throw(self, typ, val, tb, args, 1);
}
static CYTHON_INLINE int __Pyx_Coroutine_traverse_excstate(__Pyx_ExcInfoStruct *exc_state, visitproc visit, void *arg) {
#if PY_VERSION_HEX >= 0x030B00a4
    Py_VISIT(exc_state->exc_value);
#else
    Py_VISIT(exc_state->exc_type);
    Py_VISIT(exc_state->exc_value);
    Py_VISIT(exc_state->exc_traceback);
#endif
    return 0;
}
static int __Pyx_Coroutine_traverse(__pyx_CoroutineObject *gen, visitproc visit, void *arg) {
    Py_VISIT(gen->closure);
    Py_VISIT(gen->classobj);
    Py_VISIT(gen->yieldfrom);
    return __Pyx_Coroutine_traverse_excstate(&gen->gi_exc_state, visit, arg);
}
static int __Pyx_Coroutine_clear(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    Py_CLEAR(gen->closure);
    Py_CLEAR(gen->classobj);
    Py_CLEAR(gen->yieldfrom);
    __Pyx_Coroutine_ExceptionClear(&gen->gi_exc_state);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        Py_CLEAR(((__pyx_PyAsyncGenObject*)gen)->ag_finalizer);
    }
#endif
    Py_CLEAR(gen->gi_code);
    Py_CLEAR(gen->gi_frame);
    Py_CLEAR(gen->gi_name);
    Py_CLEAR(gen->gi_qualname);
    Py_CLEAR(gen->gi_modulename);
    return 0;
}
static void __Pyx_Coroutine_dealloc(PyObject *self) {
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    PyObject_GC_UnTrack(gen);
    if (gen->gi_weakreflist != NULL)
        PyObject_ClearWeakRefs(self);
    if (gen->resume_label >= 0) {
        PyObject_GC_Track(self);
#if PY_VERSION_HEX >= 0x030400a1 && CYTHON_USE_TP_FINALIZE
        if (unlikely(PyObject_CallFinalizerFromDealloc(self)))
#else
        Py_TYPE(gen)->tp_del(self);
        if (unlikely(Py_REFCNT(self) > 0))
#endif
        {
            return;
        }
        PyObject_GC_UnTrack(self);
    }
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        /* We have to handle this case for asynchronous generators
           right here, because this code has to be between UNTRACK
           and GC_Del. */
        Py_CLEAR(((__pyx_PyAsyncGenObject*)self)->ag_finalizer);
    }
#endif
    __Pyx_Coroutine_clear(self);
    __Pyx_PyHeapTypeObject_GC_Del(gen);
}
static void __Pyx_Coroutine_del(PyObject *self) {
    PyObject *error_type, *error_value, *error_traceback;
    __pyx_CoroutineObject *gen = (__pyx_CoroutineObject *) self;
    __Pyx_PyThreadState_declare
    if (gen->resume_label < 0) {
        return;
    }
#if !CYTHON_USE_TP_FINALIZE
    assert(self->ob_refcnt == 0);
    __Pyx_SET_REFCNT(self, 1);
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&error_type, &error_value, &error_traceback);
#ifdef __Pyx_AsyncGen_USED
    if (__Pyx_AsyncGen_CheckExact(self)) {
        __pyx_PyAsyncGenObject *agen = (__pyx_PyAsyncGenObject*)self;
        PyObject *finalizer = agen->ag_finalizer;
        if (finalizer && !agen->ag_closed) {
            PyObject *res = __Pyx_PyObject_CallOneArg(finalizer, self);
            if (unlikely(!res)) {
                PyErr_WriteUnraisable(self);
            } else {
                Py_DECREF(res);
            }
            __Pyx_ErrRestore(error_type, error_value, error_traceback);
            return;
        }
    }
#endif
    if (unlikely(gen->resume_label == 0 && !error_value)) {
#ifdef __Pyx_Coroutine_USED
#ifdef __Pyx_Generator_USED
    if (!__Pyx_Generator_CheckExact(self))
#endif
        {
        PyObject_GC_UnTrack(self);
#if PY_MAJOR_VERSION >= 3  || defined(PyErr_WarnFormat)
        if (unlikely(PyErr_WarnFormat(PyExc_RuntimeWarning, 1, "coroutine '%.50S' was never awaited", gen->gi_qualname) < 0))
            PyErr_WriteUnraisable(self);
#else
        {PyObject *msg;
        char *cmsg;
        #if CYTHON_COMPILING_IN_PYPY
        msg = NULL;
        cmsg = (char*) "coroutine was never awaited";
        #else
        char *cname;
        PyObject *qualname;
        qualname = gen->gi_qualname;
        cname = PyString_AS_STRING(qualname);
        msg = PyString_FromFormat("coroutine '%.50s' was never awaited", cname);
        if (unlikely(!msg)) {
            PyErr_Clear();
            cmsg = (char*) "coroutine was never awaited";
        } else {
            cmsg = PyString_AS_STRING(msg);
        }
        #endif
        if (unlikely(PyErr_WarnEx(PyExc_RuntimeWarning, cmsg, 1) < 0))
            PyErr_WriteUnraisable(self);
        Py_XDECREF(msg);}
#endif
        PyObject_GC_Track(self);
        }
#endif
    } else {
        PyObject *res = __Pyx_Coroutine_Close(self);
        if (unlikely(!res)) {
            if (PyErr_Occurred())
                PyErr_WriteUnraisable(self);
        } else {
            Py_DECREF(res);
        }
    }
    __Pyx_ErrRestore(error_type, error_value, error_traceback);
#if !CYTHON_USE_TP_FINALIZE
    assert(Py_REFCNT(self) > 0);
    if (likely(--self->ob_refcnt == 0)) {
        return;
    }
    {
        Py_ssize_t refcnt = Py_REFCNT(self);
        _Py_NewReference(self);
        __Pyx_SET_REFCNT(self, refcnt);
    }
#if CYTHON_COMPILING_IN_CPYTHON
    assert(PyType_IS_GC(Py_TYPE(self)) &&
           _Py_AS_GC(self)->gc.gc_refs != _PyGC_REFS_UNTRACKED);
    _Py_DEC_REFTOTAL;
#endif
#ifdef COUNT_ALLOCS
    --Py_TYPE(self)->tp_frees;
    --Py_TYPE(self)->tp_allocs;
#endif
#endif
}
static PyObject *
__Pyx_Coroutine_get_name(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_name;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_name(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(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(self->gi_name, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_qualname(__pyx_CoroutineObject *self, void *context)
{
    PyObject *name = self->gi_qualname;
    CYTHON_UNUSED_VAR(context);
    if (unlikely(!name)) name = Py_None;
    Py_INCREF(name);
    return name;
}
static int
__Pyx_Coroutine_set_qualname(__pyx_CoroutineObject *self, PyObject *value, void *context)
{
    CYTHON_UNUSED_VAR(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(self->gi_qualname, value);
    return 0;
}
static PyObject *
__Pyx_Coroutine_get_frame(__pyx_CoroutineObject *self, void *context)
{
    PyObject *frame = self->gi_frame;
    CYTHON_UNUSED_VAR(context);
    if (!frame) {
        if (unlikely(!self->gi_code)) {
            Py_RETURN_NONE;
        }
        frame = (PyObject *) PyFrame_New(
            PyThreadState_Get(),            /*PyThreadState *tstate,*/
            (PyCodeObject*) self->gi_code,  /*PyCodeObject *code,*/
            __pyx_d,                 /*PyObject *globals,*/
            0                               /*PyObject *locals*/
        );
        if (unlikely(!frame))
            return NULL;
        self->gi_frame = frame;
    }
    Py_INCREF(frame);
    return frame;
}
static __pyx_CoroutineObject *__Pyx__Coroutine_New(
            PyTypeObject* type, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    __pyx_CoroutineObject *gen = PyObject_GC_New(__pyx_CoroutineObject, type);
    if (unlikely(!gen))
        return NULL;
    return __Pyx__Coroutine_NewInit(gen, body, code, closure, name, qualname, module_name);
}
static __pyx_CoroutineObject *__Pyx__Coroutine_NewInit(
            __pyx_CoroutineObject *gen, __pyx_coroutine_body_t body, PyObject *code, PyObject *closure,
            PyObject *name, PyObject *qualname, PyObject *module_name) {
    gen->body = body;
    gen->closure = closure;
    Py_XINCREF(closure);
    gen->is_running = 0;
    gen->resume_label = 0;
    gen->classobj = NULL;
    gen->yieldfrom = NULL;
    #if PY_VERSION_HEX >= 0x030B00a4
    gen->gi_exc_state.exc_value = NULL;
    #else
    gen->gi_exc_state.exc_type = NULL;
    gen->gi_exc_state.exc_value = NULL;
    gen->gi_exc_state.exc_traceback = NULL;
    #endif
#if CYTHON_USE_EXC_INFO_STACK
    gen->gi_exc_state.previous_item = NULL;
#endif
    gen->gi_weakreflist = NULL;
    Py_XINCREF(qualname);
    gen->gi_qualname = qualname;
    Py_XINCREF(name);
    gen->gi_name = name;
    Py_XINCREF(module_name);
    gen->gi_modulename = module_name;
    Py_XINCREF(code);
    gen->gi_code = code;
    gen->gi_frame = NULL;
    PyObject_GC_Track(gen);
    return gen;
}

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

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

/* Generator */
static PyMethodDef __pyx_Generator_methods[] = {
    {"send", (PyCFunction) __Pyx_Coroutine_Send, METH_O,
     (char*) PyDoc_STR("send(arg) -> send 'arg' into generator,\nreturn next yielded value or raise StopIteration.")},
    {"throw", (PyCFunction) __Pyx_Coroutine_Throw, METH_VARARGS,
     (char*) PyDoc_STR("throw(typ[,val[,tb]]) -> raise exception in generator,\nreturn next yielded value or raise StopIteration.")},
    {"close", (PyCFunction) __Pyx_Coroutine_Close_Method, METH_NOARGS,
     (char*) PyDoc_STR("close() -> raise GeneratorExit inside generator.")},
    {0, 0, 0, 0}
};
static PyMemberDef __pyx_Generator_memberlist[] = {
    {(char *) "gi_running", T_BOOL, offsetof(__pyx_CoroutineObject, is_running), READONLY, NULL},
    {(char*) "gi_yieldfrom", T_OBJECT, offsetof(__pyx_CoroutineObject, yieldfrom), READONLY,
     (char*) PyDoc_STR("object being iterated by 'yield from', or None")},
    {(char*) "gi_code", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_code), READONLY, NULL},
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CoroutineObject, gi_modulename), 0, 0},
#if CYTHON_USE_TYPE_SPECS
    {(char *) "__weaklistoffset__", T_PYSSIZET, offsetof(__pyx_CoroutineObject, gi_weakreflist), READONLY, 0},
#endif
    {0, 0, 0, 0, 0}
};
static PyGetSetDef __pyx_Generator_getsets[] = {
    {(char *) "__name__", (getter)__Pyx_Coroutine_get_name, (setter)__Pyx_Coroutine_set_name,
     (char*) PyDoc_STR("name of the generator"), 0},
    {(char *) "__qualname__", (getter)__Pyx_Coroutine_get_qualname, (setter)__Pyx_Coroutine_set_qualname,
     (char*) PyDoc_STR("qualified name of the generator"), 0},
    {(char *) "gi_frame", (getter)__Pyx_Coroutine_get_frame, NULL,
     (char*) PyDoc_STR("Frame of the generator"), 0},
    {0, 0, 0, 0, 0}
};
#if CYTHON_USE_TYPE_SPECS
static PyType_Slot __pyx_GeneratorType_slots[] = {
    {Py_tp_dealloc, (void *)__Pyx_Coroutine_dealloc},
    {Py_tp_traverse, (void *)__Pyx_Coroutine_traverse},
    {Py_tp_iter, (void *)PyObject_SelfIter},
    {Py_tp_iternext, (void *)__Pyx_Generator_Next},
    {Py_tp_methods, (void *)__pyx_Generator_methods},
    {Py_tp_members, (void *)__pyx_Generator_memberlist},
    {Py_tp_getset, (void *)__pyx_Generator_getsets},
    {Py_tp_getattro, (void *) __Pyx_PyObject_GenericGetAttrNoDict},
#if CYTHON_USE_TP_FINALIZE
    {Py_tp_finalize, (void *)__Pyx_Coroutine_del},
#endif
    {0, 0},
};
static PyType_Spec __pyx_GeneratorType_spec = {
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    __pyx_GeneratorType_slots
};
#else
static PyTypeObject __pyx_GeneratorType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __PYX_TYPE_MODULE_PREFIX "generator",
    sizeof(__pyx_CoroutineObject),
    0,
    (destructor) __Pyx_Coroutine_dealloc,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_HAVE_FINALIZE,
    0,
    (traverseproc) __Pyx_Coroutine_traverse,
    0,
    0,
    offsetof(__pyx_CoroutineObject, gi_weakreflist),
    0,
    (iternextfunc) __Pyx_Generator_Next,
    __pyx_Generator_methods,
    __pyx_Generator_memberlist,
    __pyx_Generator_getsets,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if CYTHON_USE_TP_FINALIZE
    0,
#else
    __Pyx_Coroutine_del,
#endif
    0,
#if CYTHON_USE_TP_FINALIZE
    __Pyx_Coroutine_del,
#elif PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if __PYX_NEED_TP_PRINT_SLOT
    0,
#endif
#if PY_VERSION_HEX >= 0x030C0000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000 && PY_VERSION_HEX < 0x030a0000
    0,
#endif
};
#endif
static int __pyx_Generator_init(PyObject *module) {
#if CYTHON_USE_TYPE_SPECS
    __pyx_GeneratorType = __Pyx_FetchCommonTypeFromSpec(module, &__pyx_GeneratorType_spec, NULL);
#else
    CYTHON_UNUSED_VAR(module);
    __pyx_GeneratorType_type.tp_getattro = __Pyx_PyObject_GenericGetAttrNoDict;
    __pyx_GeneratorType_type.tp_iter = PyObject_SelfIter;
    __pyx_GeneratorType = __Pyx_FetchCommonType(&__pyx_GeneratorType_type);
#endif
    if (unlikely(!__pyx_GeneratorType)) {
        return -1;
    }
    return 0;
}

/* CheckBinaryVersion */
static unsigned long __Pyx_get_runtime_version() {
#if __PYX_LIMITED_VERSION_HEX >= 0x030B00A4
    return Py_Version & ~0xFFUL;
#else
    const char* rt_version = Py_GetVersion();
    unsigned long version = 0;
    unsigned long factor = 0x01000000UL;
    unsigned int digit = 0;
    int i = 0;
    while (factor) {
        while ('0' <= rt_version[i] && rt_version[i] <= '9') {
            digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
            ++i;
        }
        version += factor * digit;
        if (rt_version[i] != '.')
            break;
        digit = 0;
        factor >>= 8;
        ++i;
    }
    return version;
#endif
}
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* 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
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;
}

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
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) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      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 (Py_hash_t) __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: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



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