text: /* Generated by Cython 0.29.16 */
  
  #define PY_SSIZE_T_CLEAN
  #include "Python.h"
  #ifndef Py_PYTHON_H
      #error Python headers needed to compile C extensions, please install development version of Python.
  #elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
      #error Cython requires Python 2.6+ or Python 3.3+.
  #else
  #define CYTHON_ABI "0_29_16"
  #define CYTHON_HEX_VERSION 0x001D10F0
  #define CYTHON_FUTURE_DIVISION 1
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    #define CYTHON_COMPILING_IN_PYPY 1
    #define CYTHON_COMPILING_IN_PYSTON 0
    #define CYTHON_COMPILING_IN_CPYTHON 0
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    #define CYTHON_USE_TYPE_SLOTS 0
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      #define CYTHON_USE_ASYNC_SLOTS 0
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    #define CYTHON_USE_PYLIST_INTERNALS 0
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    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
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    #define CYTHON_USE_PYLONG_INTERNALS 0
    #undef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 1
    #undef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 0
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    #define CYTHON_UNPACK_METHODS 0
    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
    #undef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 0
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
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    #define CYTHON_COMPILING_IN_PYSTON 1
    #define CYTHON_COMPILING_IN_CPYTHON 0
    #ifndef CYTHON_USE_TYPE_SLOTS
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    #define CYTHON_USE_PYTYPE_LOOKUP 0
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    #define CYTHON_USE_ASYNC_SLOTS 0
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    #define CYTHON_USE_PYLIST_INTERNALS 0
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    #define CYTHON_USE_UNICODE_WRITER 0
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
    #ifndef CYTHON_AVOID_BORROWED_REFS
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    #ifndef CYTHON_ASSUME_SAFE_MACROS
      #define CYTHON_ASSUME_SAFE_MACROS 1
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    #ifndef CYTHON_UNPACK_METHODS
      #define CYTHON_UNPACK_METHODS 1
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    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
    #undef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 0
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
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    #define CYTHON_COMPILING_IN_PYPY 0
    #define CYTHON_COMPILING_IN_PYSTON 0
    #define CYTHON_COMPILING_IN_CPYTHON 1
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      #define CYTHON_USE_TYPE_SLOTS 1
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      #define CYTHON_USE_PYTYPE_LOOKUP 0
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      #define CYTHON_USE_PYTYPE_LOOKUP 1
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      #define CYTHON_USE_ASYNC_SLOTS 1
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    #if PY_VERSION_HEX < 0x02070000
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      #define CYTHON_USE_PYLONG_INTERNALS 0
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      #define CYTHON_USE_UNICODE_WRITER 1
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    #ifndef CYTHON_ASSUME_SAFE_MACROS
      #define CYTHON_ASSUME_SAFE_MACROS 1
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    #ifndef CYTHON_UNPACK_METHODS
      #define CYTHON_UNPACK_METHODS 1
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    #ifndef CYTHON_FAST_THREAD_STATE
      #define CYTHON_FAST_THREAD_STATE 1
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    #ifndef CYTHON_FAST_PYCALL
      #define CYTHON_FAST_PYCALL 1
    #endif
    #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
      #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
    #endif
    #ifndef CYTHON_USE_TP_FINALIZE
      #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
    #endif
    #ifndef CYTHON_USE_DICT_VERSIONS
      #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
    #endif
    #ifndef CYTHON_USE_EXC_INFO_STACK
      #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
    #endif
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  #if !defined(CYTHON_FAST_PYCCALL)
  #define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
  #endif
  #if CYTHON_USE_PYLONG_INTERNALS
    #include "longintrepr.h"
    #undef SHIFT
    #undef BASE
    #undef MASK
    #ifdef SIZEOF_VOID_P
      enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
    #endif
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  #ifndef __has_attribute
    #define __has_attribute(x) 0
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  #ifndef __has_cpp_attribute
    #define __has_cpp_attribute(x) 0
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  #ifndef CYTHON_RESTRICT
    #if defined(__GNUC__)
      #define CYTHON_RESTRICT __restrict__
    #elif defined(_MSC_VER) && _MSC_VER >= 1400
      #define CYTHON_RESTRICT __restrict
    #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
      #define CYTHON_RESTRICT restrict
    #else
      #define CYTHON_RESTRICT
    #endif
  #endif
  #ifndef CYTHON_UNUSED
  # if defined(__GNUC__)
  #   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
  #     define CYTHON_UNUSED __attribute__ ((__unused__))
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  #     define CYTHON_UNUSED
  #   endif
  # elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
  #   define CYTHON_UNUSED __attribute__ ((__unused__))
  # else
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  #ifndef CYTHON_MAYBE_UNUSED_VAR
  #  if defined(__cplusplus)
       template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
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  #ifndef CYTHON_NCP_UNUSED
  # if CYTHON_COMPILING_IN_CPYTHON
  #  define CYTHON_NCP_UNUSED
  # else
  #  define CYTHON_NCP_UNUSED CYTHON_UNUSED
  # endif
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  #define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
  #ifdef _MSC_VER
      #ifndef _MSC_STDINT_H_
          #if _MSC_VER < 1300
             typedef unsigned char     uint8_t;
             typedef unsigned int      uint32_t;
          #else
             typedef unsigned __int8   uint8_t;
             typedef unsigned __int32  uint32_t;
          #endif
      #endif
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     #include <stdint.h>
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if defined(__cplusplus) && __cplusplus >= 201103L
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #elif __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
      #else
        #define CYTHON_FALLTHROUGH
      #endif
    #endif
    #if defined(__clang__ ) && defined(__apple_build_version__)
      #if __apple_build_version__ < 7000000
        #undef  CYTHON_FALLTHROUGH
        #define CYTHON_FALLTHROUGH
      #endif
    #endif
  #endif
  
  #ifndef CYTHON_INLINE
    #if defined(__clang__)
      #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
    #elif defined(__GNUC__)
      #define CYTHON_INLINE __inline__
    #elif defined(_MSC_VER)
      #define CYTHON_INLINE __inline
    #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
      #define CYTHON_INLINE inline
    #else
      #define CYTHON_INLINE
    #endif
  #endif
  
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
    #define Py_OptimizeFlag 0
  #endif
  #define __PYX_BUILD_PY_SSIZE_T "n"
  #define CYTHON_FORMAT_SSIZE_T "z"
  #if PY_MAJOR_VERSION < 3
    #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
    #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
    #define __Pyx_DefaultClassType PyClass_Type
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    #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #if PY_VERSION_HEX >= 0x030800A4 && PY_VERSION_HEX < 0x030800B2
    #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a, 0, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #else
    #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #endif
    #define __Pyx_DefaultClassType PyType_Type
  #endif
  #ifndef Py_TPFLAGS_CHECKTYPES
    #define Py_TPFLAGS_CHECKTYPES 0
  #endif
  #ifndef Py_TPFLAGS_HAVE_INDEX
    #define Py_TPFLAGS_HAVE_INDEX 0
  #endif
  #ifndef Py_TPFLAGS_HAVE_NEWBUFFER
    #define Py_TPFLAGS_HAVE_NEWBUFFER 0
  #endif
  #ifndef Py_TPFLAGS_HAVE_FINALIZE
    #define Py_TPFLAGS_HAVE_FINALIZE 0
  #endif
  #ifndef METH_STACKLESS
    #define METH_STACKLESS 0
  #endif
  #if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
    #ifndef METH_FASTCALL
       #define METH_FASTCALL 0x80
    #endif
    typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
    typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                            Py_ssize_t nargs, PyObject *kwnames);
  #else
    #define __Pyx_PyCFunctionFast _PyCFunctionFast
    #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
  #endif
  #if CYTHON_FAST_PYCCALL
  #define __Pyx_PyFastCFunction_Check(func)\
      ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
  #else
  #define __Pyx_PyFastCFunction_Check(func) 0
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
    #define PyObject_Malloc(s)   PyMem_Malloc(s)
    #define PyObject_Free(p)     PyMem_Free(p)
    #define PyObject_Realloc(p)  PyMem_Realloc(p)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
    #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
    #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
    #define PyMem_RawFree(p)             PyMem_Free(p)
  #endif
  #if CYTHON_COMPILING_IN_PYSTON
    #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
  #else
    #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
  #endif
  #if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
    #define __Pyx_PyThreadState_Current PyThreadState_GET()
  #elif PY_VERSION_HEX >= 0x03060000
    #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
  #elif PY_VERSION_HEX >= 0x03000000
    #define __Pyx_PyThreadState_Current PyThreadState_GET()
  #else
    #define __Pyx_PyThreadState_Current _PyThreadState_Current
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  #include "pythread.h"
  #define Py_tss_NEEDS_INIT 0
  typedef int Py_tss_t;
  static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
    *key = PyThread_create_key();
    return 0;
  }
  static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
    Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
    *key = Py_tss_NEEDS_INIT;
    return key;
  }
  static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
    PyObject_Free(key);
  }
  static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
    return *key != Py_tss_NEEDS_INIT;
  }
  static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
    PyThread_delete_key(*key);
    *key = Py_tss_NEEDS_INIT;
  }
  static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
    return PyThread_set_key_value(*key, value);
  }
  static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
    return PyThread_get_key_value(*key);
  }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
  #define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
  #else
  #define __Pyx_PyDict_NewPresized(n)  PyDict_New()
  #endif
  #if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
    #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
  #else
    #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
  #define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
  #else
  #define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
  #endif
  #if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
    #define CYTHON_PEP393_ENABLED 1
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
    #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
    #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
    #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
    #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
    #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
    #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
    #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
  #else
    #define CYTHON_PEP393_ENABLED 0
    #define PyUnicode_1BYTE_KIND  1
    #define PyUnicode_2BYTE_KIND  2
    #define PyUnicode_4BYTE_KIND  4
    #define __Pyx_PyUnicode_READY(op)       (0)
    #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
    #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
    #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
    #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
    #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
    #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
    #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
  #endif
  #if CYTHON_COMPILING_IN_PYPY
    #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
    #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
  #else
    #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
    #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
        PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
  #define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
  #define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
  #else
    #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
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  #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)
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    #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
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    #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
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    #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
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    #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
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  #if PY_MAJOR_VERSION >= 3
    #define PyIntObject                  PyLongObject
    #define PyInt_Type                   PyLong_Type
    #define PyInt_Check(op)              PyLong_Check(op)
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    #define PyInt_FromString             PyLong_FromString
    #define PyInt_FromUnicode            PyLong_FromUnicode
    #define PyInt_FromLong               PyLong_FromLong
    #define PyInt_FromSize_t             PyLong_FromSize_t
    #define PyInt_FromSsize_t            PyLong_FromSsize_t
    #define PyInt_AsLong                 PyLong_AsLong
    #define PyInt_AS_LONG                PyLong_AS_LONG
    #define PyInt_AsSsize_t              PyLong_AsSsize_t
    #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
    #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
    #define PyNumber_Int                 PyNumber_Long
  #endif
  #if PY_MAJOR_VERSION >= 3
    #define PyBoolObject                 PyLongObject
  #endif
  #if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
    #ifndef PyUnicode_InternFromString
      #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
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  #if PY_VERSION_HEX < 0x030200A4
    typedef long Py_hash_t;
    #define __Pyx_PyInt_FromHash_t PyInt_FromLong
    #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
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    #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
    #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
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  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func))
  #else
    #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
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  #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)
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      #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
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  #else
    #define __Pyx_PyType_AsAsync(obj) NULL
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  #ifndef __Pyx_PyAsyncMethodsStruct
      typedef struct {
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          unaryfunc am_aiter;
          unaryfunc am_anext;
      } __Pyx_PyAsyncMethodsStruct;
  #endif
  
  #if defined(WIN32) || defined(MS_WINDOWS)
    #define _USE_MATH_DEFINES
  #endif
  #include <math.h>
  #ifdef NAN
  #define __PYX_NAN() ((float) NAN)
  #else
  static CYTHON_INLINE float __PYX_NAN() {
    float value;
    memset(&value, 0xFF, sizeof(value));
    return value;
  }
  #endif
  #if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
  #define __Pyx_truncl trunc
  #else
  #define __Pyx_truncl truncl
  #endif
  
  
  #define __PYX_ERR(f_index, lineno, Ln_error) \
  { \
    __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \
  }
  
  #ifndef __PYX_EXTERN_C
    #ifdef __cplusplus
      #define __PYX_EXTERN_C extern "C"
    #else
      #define __PYX_EXTERN_C extern
    #endif
  #endif
  
  #define __PYX_HAVE__numpy_demo__random___common
  #define __PYX_HAVE_API__numpy_demo__random___common
  /* Early includes */
  #include <stdint.h>
  #include <string.h>
  #include <stdio.h>
  #include "numpy_demo/arrayobject.h"
  #include "numpy_demo/ufuncobject.h"
  #include "numpy_demo/random/bitgen.h"
  #include "include/aligned_malloc.h"
  #include "pythread.h"
  #ifdef _OPENMP
  #include <omp.h>
  #endif /* _OPENMP */
  
  #if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
  #define CYTHON_WITHOUT_ASSERTIONS
  #endif
  
  typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                  const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;
  
  #define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
  #define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
  #define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
  #define __PYX_DEFAULT_STRING_ENCODING ""
  #define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
  #define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
  #define __Pyx_uchar_cast(c) ((unsigned char)c)
  #define __Pyx_long_cast(x) ((long)x)
  #define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
      (sizeof(type) < sizeof(Py_ssize_t))  ||\
      (sizeof(type) > sizeof(Py_ssize_t) &&\
            likely(v < (type)PY_SSIZE_T_MAX ||\
                   v == (type)PY_SSIZE_T_MAX)  &&\
            (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                  v == (type)PY_SSIZE_T_MIN)))  ||\
      (sizeof(type) == sizeof(Py_ssize_t) &&\
            (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                                 v == (type)PY_SSIZE_T_MAX)))  )
  static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
      return (size_t) i < (size_t) limit;
  }
  #if defined (__cplusplus) && __cplusplus >= 201103L
      #include <cstdlib>
      #define __Pyx_sst_abs(value) std::abs(value)
  #elif SIZEOF_INT >= SIZEOF_SIZE_T
      #define __Pyx_sst_abs(value) abs(value)
  #elif SIZEOF_LONG >= SIZEOF_SIZE_T
      #define __Pyx_sst_abs(value) labs(value)
  #elif defined (_MSC_VER)
      #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
      #define __Pyx_sst_abs(value) llabs(value)
  #elif defined (__GNUC__)
      #define __Pyx_sst_abs(value) __builtin_llabs(value)
  #else
      #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
  #endif
  static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
  static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
  #define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
  #define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
  #define __Pyx_PyBytes_FromString        PyBytes_FromString
  #define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
  #if PY_MAJOR_VERSION < 3
      #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
  #else
      #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
      #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
  #endif
  #define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
  #define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
  #define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
  #define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
  #define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
  #define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
  #define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
  static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
      const Py_UNICODE *u_end = u;
      while (*u_end++) ;
      return (size_t)(u_end - u - 1);
  }
  #define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
  #define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
  #define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
  #define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
  #define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
  static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
  static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
  static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
  #define __Pyx_PySequence_Tuple(obj)\
      (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
  static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
  #if CYTHON_ASSUME_SAFE_MACROS
  #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
  #else
  #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
  #endif
  #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
  #if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
  #else
  #define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
  #endif
  #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
  static int __Pyx_sys_getdefaultencoding_not_ascii;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      PyObject* ascii_chars_u = NULL;
      PyObject* ascii_chars_b = NULL;
      const char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      if (strcmp(default_encoding_c, "ascii") == 0) {
          __Pyx_sys_getdefaultencoding_not_ascii = 0;
      } else {
          char ascii_chars[128];
          int c;
          for (c = 0; c < 128; c++) {
              ascii_chars[c] = c;
          }
          __Pyx_sys_getdefaultencoding_not_ascii = 1;
          ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
          if (!ascii_chars_u) goto bad;
          ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
          if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
              PyErr_Format(
                  PyExc_ValueError,
                  "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                  default_encoding_c);
              goto bad;
          }
          Py_DECREF(ascii_chars_u);
          Py_DECREF(ascii_chars_b);
      }
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      Py_XDECREF(ascii_chars_u);
      Py_XDECREF(ascii_chars_b);
      return -1;
  }
  #endif
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
  #else
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  static char* __PYX_DEFAULT_STRING_ENCODING;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
      if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
      strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      return -1;
  }
  #endif
  #endif
  
  
  /* Test for GCC > 2.95 */
  #if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
  #else /* !__GNUC__ or GCC < 2.95 */
    #define likely(x)   (x)
    #define unlikely(x) (x)
  #endif /* __GNUC__ */
  static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
  
  static PyObject *__pyx_m = NULL;
  static PyObject *__pyx_d;
  static PyObject *__pyx_b;
  static PyObject *__pyx_cython_runtime = NULL;
  static PyObject *__pyx_empty_tuple;
  static PyObject *__pyx_empty_bytes;
  static PyObject *__pyx_empty_unicode;
  static int __pyx_lineno;
  static int __pyx_clineno = 0;
  static const char * __pyx_cfilenm= __FILE__;
  static const char *__pyx_filename;
  
  /* Header.proto */
  #if !defined(CYTHON_CCOMPLEX)
    #if defined(__cplusplus)
      #define CYTHON_CCOMPLEX 1
    #elif defined(_Complex_I)
      #define CYTHON_CCOMPLEX 1
    #else
      #define CYTHON_CCOMPLEX 0
    #endif
  #endif
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      #include <complex>
    #else
      #include <complex.h>
    #endif
  #endif
  #if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
    #undef _Complex_I
    #define _Complex_I 1.0fj
  #endif
  
  
  static const char *__pyx_f[] = {
    "_common.pyx",
    "__init__.pxd",
    "type.pxd",
    "bool.pxd",
    "complex.pxd",
    "bit_generator.pxd",
  };
  /* NoFastGil.proto */
  #define __Pyx_PyGILState_Ensure PyGILState_Ensure
  #define __Pyx_PyGILState_Release PyGILState_Release
  #define __Pyx_FastGIL_Remember()
  #define __Pyx_FastGIL_Forget()
  #define __Pyx_FastGilFuncInit()
  
  /* ForceInitThreads.proto */
  #ifndef __PYX_FORCE_INIT_THREADS
    #define __PYX_FORCE_INIT_THREADS 0
  #endif
  
  
  /* "../__init__.pxd":704
   * # in Cython to enable them only on the right systems.
   * 
   * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   */
  typedef npy_int8 __pyx_t_10numpy_demo_int8_t;
  
  /* "../__init__.pxd":705
   * 
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t
   */
  typedef npy_int16 __pyx_t_10numpy_demo_int16_t;
  
  /* "../__init__.pxd":706
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int64      int64_t
   * #ctypedef npy_int96      int96_t
   */
  typedef npy_int32 __pyx_t_10numpy_demo_int32_t;
  
  /* "../__init__.pxd":707
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_int96      int96_t
   * #ctypedef npy_int128     int128_t
   */
  typedef npy_int64 __pyx_t_10numpy_demo_int64_t;
  
  /* "../__init__.pxd":711
   * #ctypedef npy_int128     int128_t
   * 
   * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
   */
  typedef npy_uint8 __pyx_t_10numpy_demo_uint8_t;
  
  /* "../__init__.pxd":712
   * 
   * ctypedef npy_uint8      uint8_t
   * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t
   */
  typedef npy_uint16 __pyx_t_10numpy_demo_uint16_t;
  
  /* "../__init__.pxd":713
   * ctypedef npy_uint8      uint8_t
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint64     uint64_t
   * #ctypedef npy_uint96     uint96_t
   */
  typedef npy_uint32 __pyx_t_10numpy_demo_uint32_t;
  
  /* "../__init__.pxd":714
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_uint96     uint96_t
   * #ctypedef npy_uint128    uint128_t
   */
  typedef npy_uint64 __pyx_t_10numpy_demo_uint64_t;
  
  /* "../__init__.pxd":718
   * #ctypedef npy_uint128    uint128_t
   * 
   * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_float64    float64_t
   * #ctypedef npy_float80    float80_t
   */
  typedef npy_float32 __pyx_t_10numpy_demo_float32_t;
  
  /* "../__init__.pxd":719
   * 
   * ctypedef npy_float32    float32_t
   * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_float80    float80_t
   * #ctypedef npy_float128   float128_t
   */
  typedef npy_float64 __pyx_t_10numpy_demo_float64_t;
  
  /* "../__init__.pxd":728
   * # The int types are mapped a bit surprising --
   * # numpy_demo.int corresponds to 'l' and numpy_demo.long to 'q'
   * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longlong   long_t
   * ctypedef npy_longlong   longlong_t
   */
  typedef npy_long __pyx_t_10numpy_demo_int_t;
  
  /* "../__init__.pxd":729
   * # numpy_demo.int corresponds to 'l' and numpy_demo.long to 'q'
   * ctypedef npy_long       int_t
   * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longlong   longlong_t
   * 
   */
  typedef npy_longlong __pyx_t_10numpy_demo_long_t;
  
  /* "../__init__.pxd":730
   * ctypedef npy_long       int_t
   * ctypedef npy_longlong   long_t
   * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_ulong      uint_t
   */
  typedef npy_longlong __pyx_t_10numpy_demo_longlong_t;
  
  /* "../__init__.pxd":732
   * ctypedef npy_longlong   longlong_t
   * 
   * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
   * ctypedef npy_ulonglong  ulong_t
   * ctypedef npy_ulonglong  ulonglong_t
   */
  typedef npy_ulong __pyx_t_10numpy_demo_uint_t;
  
  /* "../__init__.pxd":733
   * 
   * ctypedef npy_ulong      uint_t
   * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
   * ctypedef npy_ulonglong  ulonglong_t
   * 
   */
  typedef npy_ulonglong __pyx_t_10numpy_demo_ulong_t;
  
  /* "../__init__.pxd":734
   * ctypedef npy_ulong      uint_t
   * ctypedef npy_ulonglong  ulong_t
   * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_intp       intp_t
   */
  typedef npy_ulonglong __pyx_t_10numpy_demo_ulonglong_t;
  
  /* "../__init__.pxd":736
   * ctypedef npy_ulonglong  ulonglong_t
   * 
   * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uintp      uintp_t
   * 
   */
  typedef npy_intp __pyx_t_10numpy_demo_intp_t;
  
  /* "../__init__.pxd":737
   * 
   * ctypedef npy_intp       intp_t
   * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_double     float_t
   */
  typedef npy_uintp __pyx_t_10numpy_demo_uintp_t;
  
  /* "../__init__.pxd":739
   * ctypedef npy_uintp      uintp_t
   * 
   * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
   * ctypedef npy_double     double_t
   * ctypedef npy_longdouble longdouble_t
   */
  typedef npy_double __pyx_t_10numpy_demo_float_t;
  
  /* "../__init__.pxd":740
   * 
   * ctypedef npy_double     float_t
   * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longdouble longdouble_t
   * 
   */
  typedef npy_double __pyx_t_10numpy_demo_double_t;
  
  /* "../__init__.pxd":741
   * ctypedef npy_double     float_t
   * ctypedef npy_double     double_t
   * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_cfloat      cfloat_t
   */
  typedef npy_longdouble __pyx_t_10numpy_demo_longdouble_t;
  /* Declarations.proto */
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      typedef ::std::complex< float > __pyx_t_float_complex;
    #else
      typedef float _Complex __pyx_t_float_complex;
    #endif
  #else
      typedef struct { float real, imag; } __pyx_t_float_complex;
  #endif
  static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);
  
  /* Declarations.proto */
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      typedef ::std::complex< double > __pyx_t_double_complex;
    #else
      typedef double _Complex __pyx_t_double_complex;
    #endif
  #else
      typedef struct { double real, imag; } __pyx_t_double_complex;
  #endif
  static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);
  
  
  /*--- Type declarations ---*/
  struct __pyx_obj_10numpy_demo_6random_13bit_generator_BitGenerator;
  struct __pyx_obj_10numpy_demo_6random_13bit_generator_SeedSequence;
  struct __pyx_obj_10numpy_demo_6random_13bit_generator_SeedlessSequence;
  
  /* "../__init__.pxd":743
   * ctypedef npy_longdouble longdouble_t
   * 
   * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
   * ctypedef npy_cdouble     cdouble_t
   * ctypedef npy_clongdouble clongdouble_t
   */
  typedef npy_cfloat __pyx_t_10numpy_demo_cfloat_t;
  
  /* "../__init__.pxd":744
   * 
   * ctypedef npy_cfloat      cfloat_t
   * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
   * ctypedef npy_clongdouble clongdouble_t
   * 
   */
  typedef npy_cdouble __pyx_t_10numpy_demo_cdouble_t;
  
  /* "../__init__.pxd":745
   * ctypedef npy_cfloat      cfloat_t
   * ctypedef npy_cdouble     cdouble_t
   * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
   * 
   * ctypedef npy_cdouble     complex_t
   */
  typedef npy_clongdouble __pyx_t_10numpy_demo_clongdouble_t;
  
  /* "../__init__.pxd":747
   * ctypedef npy_clongdouble clongdouble_t
   * 
   * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
   * 
   * cdef inline object PyArray_MultiIterNew1(a):
   */
  typedef npy_cdouble __pyx_t_10numpy_demo_complex_t;
  
  /* "numpy_demo/random/_common.pxd":14
   * cdef uint64_t MAXSIZE
   * 
   * cdef enum ConstraintType:             # <<<<<<<<<<<<<<
   *     CONS_NONE
   *     CONS_NON_NEGATIVE
   */
  enum __pyx_t_10numpy_demo_6random_7_common_ConstraintType {
    __pyx_e_10numpy_demo_6random_7_common_CONS_NONE,
    __pyx_e_10numpy_demo_6random_7_common_CONS_NON_NEGATIVE,
    __pyx_e_10numpy_demo_6random_7_common_CONS_POSITIVE,
    __pyx_e_10numpy_demo_6random_7_common_CONS_POSITIVE_NOT_NAN,
    __pyx_e_10numpy_demo_6random_7_common_CONS_BOUNDED_0_1,
    __pyx_e_10numpy_demo_6random_7_common_CONS_BOUNDED_0_1_NOTNAN,
    __pyx_e_10numpy_demo_6random_7_common_CONS_BOUNDED_GT_0_1,
    __pyx_e_10numpy_demo_6random_7_common_CONS_GT_1,
    __pyx_e_10numpy_demo_6random_7_common_CONS_GTE_1,
    __pyx_e_10numpy_demo_6random_7_common_CONS_POISSON,
    __pyx_e_10numpy_demo_6random_7_common_LEGACY_CONS_POISSON
  };
  
  /* "numpy_demo/random/_common.pxd":27
   *     LEGACY_CONS_POISSON
   * 
   * ctypedef ConstraintType constraint_type             # <<<<<<<<<<<<<<
   * 
   * cdef object benchmark(bitgen_t *bitgen, object lock, Py_ssize_t cnt, object method)
   */
  typedef enum __pyx_t_10numpy_demo_6random_7_common_ConstraintType __pyx_t_10numpy_demo_6random_7_common_constraint_type;
  
  /* "numpy_demo/random/_common.pxd":42
   *     cdef void PyArray_free_aligned(void *p)
   * 
   * ctypedef double (*random_double_fill)(bitgen_t *state, np.npy_intp count, double* out) nogil             # <<<<<<<<<<<<<<
   * ctypedef double (*random_double_0)(void *state) nogil
   * ctypedef double (*random_double_1)(void *state, double a) nogil
   */
  typedef double (*__pyx_t_10numpy_demo_6random_7_common_random_double_fill)(bitgen_t *, npy_intp, double *);
  
  /* "numpy_demo/random/_common.pxd":43
   * 
   * ctypedef double (*random_double_fill)(bitgen_t *state, np.npy_intp count, double* out) nogil
   * ctypedef double (*random_double_0)(void *state) nogil             # <<<<<<<<<<<<<<
   * ctypedef double (*random_double_1)(void *state, double a) nogil
   * ctypedef double (*random_double_2)(void *state, double a, double b) nogil
   */
  typedef double (*__pyx_t_10numpy_demo_6random_7_common_random_double_0)(void *);
  
  /* "numpy_demo/random/_common.pxd":44
   * ctypedef double (*random_double_fill)(bitgen_t *state, np.npy_intp count, double* out) nogil
   * ctypedef double (*random_double_0)(void *state) nogil
   * ctypedef double (*random_double_1)(void *state, double a) nogil             # <<<<<<<<<<<<<<
   * ctypedef double (*random_double_2)(void *state, double a, double b) nogil
   * ctypedef double (*random_double_3)(void *state, double a, double b, double c) nogil
   */
  typedef double (*__pyx_t_10numpy_demo_6random_7_common_random_double_1)(void *, double);
  
  /* "numpy_demo/random/_common.pxd":45
   * ctypedef double (*random_double_0)(void *state) nogil
   * ctypedef double (*random_double_1)(void *state, double a) nogil
   * ctypedef double (*random_double_2)(void *state, double a, double b) nogil             # <<<<<<<<<<<<<<
   * ctypedef double (*random_double_3)(void *state, double a, double b, double c) nogil
   * 
   */
  typedef double (*__pyx_t_10numpy_demo_6random_7_common_random_double_2)(void *, double, double);
  
  /* "numpy_demo/random/_common.pxd":46
   * ctypedef double (*random_double_1)(void *state, double a) nogil
   * ctypedef double (*random_double_2)(void *state, double a, double b) nogil
   * ctypedef double (*random_double_3)(void *state, double a, double b, double c) nogil             # <<<<<<<<<<<<<<
   * 
   * ctypedef double (*random_float_fill)(bitgen_t *state, np.npy_intp count, float* out) nogil
   */
  typedef double (*__pyx_t_10numpy_demo_6random_7_common_random_double_3)(void *, double, double, double);
  
  /* "numpy_demo/random/_common.pxd":48
   * ctypedef double (*random_double_3)(void *state, double a, double b, double c) nogil
   * 
   * ctypedef double (*random_float_fill)(bitgen_t *state, np.npy_intp count, float* out) nogil             # <<<<<<<<<<<<<<
   * ctypedef float (*random_float_0)(bitgen_t *state) nogil
   * ctypedef float (*random_float_1)(bitgen_t *state, float a) nogil
   */
  typedef double (*__pyx_t_10numpy_demo_6random_7_common_random_float_fill)(bitgen_t *, npy_intp, float *);
  
  /* "numpy_demo/random/_common.pxd":49
   * 
   * ctypedef double (*random_float_fill)(bitgen_t *state, np.npy_intp count, float* out) nogil
   * ctypedef float (*random_float_0)(bitgen_t *state) nogil             # <<<<<<<<<<<<<<
   * ctypedef float (*random_float_1)(bitgen_t *state, float a) nogil
   * 
   */
  typedef float (*__pyx_t_10numpy_demo_6random_7_common_random_float_0)(bitgen_t *);
  
  /* "numpy_demo/random/_common.pxd":50
   * ctypedef double (*random_float_fill)(bitgen_t *state, np.npy_intp count, float* out) nogil
   * ctypedef float (*random_float_0)(bitgen_t *state) nogil
   * ctypedef float (*random_float_1)(bitgen_t *state, float a) nogil             # <<<<<<<<<<<<<<
   * 
   * ctypedef int64_t (*random_uint_0)(void *state) nogil
   */
  typedef float (*__pyx_t_10numpy_demo_6random_7_common_random_float_1)(bitgen_t *, float);
  
  /* "numpy_demo/random/_common.pxd":52
   * ctypedef float (*random_float_1)(bitgen_t *state, float a) nogil
   * 
   * ctypedef int64_t (*random_uint_0)(void *state) nogil             # <<<<<<<<<<<<<<
   * ctypedef int64_t (*random_uint_d)(void *state, double a) nogil
   * ctypedef int64_t (*random_uint_dd)(void *state, double a, double b) nogil
   */
  typedef int64_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_0)(void *);
  
  /* "numpy_demo/random/_common.pxd":53
   * 
   * ctypedef int64_t (*random_uint_0)(void *state) nogil
   * ctypedef int64_t (*random_uint_d)(void *state, double a) nogil             # <<<<<<<<<<<<<<
   * ctypedef int64_t (*random_uint_dd)(void *state, double a, double b) nogil
   * ctypedef int64_t (*random_uint_di)(void *state, double a, uint64_t b) nogil
   */
  typedef int64_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_d)(void *, double);
  
  /* "numpy_demo/random/_common.pxd":54
   * ctypedef int64_t (*random_uint_0)(void *state) nogil
   * ctypedef int64_t (*random_uint_d)(void *state, double a) nogil
   * ctypedef int64_t (*random_uint_dd)(void *state, double a, double b) nogil             # <<<<<<<<<<<<<<
   * ctypedef int64_t (*random_uint_di)(void *state, double a, uint64_t b) nogil
   * ctypedef int64_t (*random_uint_i)(void *state, int64_t a) nogil
   */
  typedef int64_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_dd)(void *, double, double);
  
  /* "numpy_demo/random/_common.pxd":55
   * ctypedef int64_t (*random_uint_d)(void *state, double a) nogil
   * ctypedef int64_t (*random_uint_dd)(void *state, double a, double b) nogil
   * ctypedef int64_t (*random_uint_di)(void *state, double a, uint64_t b) nogil             # <<<<<<<<<<<<<<
   * ctypedef int64_t (*random_uint_i)(void *state, int64_t a) nogil
   * ctypedef int64_t (*random_uint_iii)(void *state, int64_t a, int64_t b, int64_t c) nogil
   */
  typedef int64_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_di)(void *, double, uint64_t);
  
  /* "numpy_demo/random/_common.pxd":56
   * ctypedef int64_t (*random_uint_dd)(void *state, double a, double b) nogil
   * ctypedef int64_t (*random_uint_di)(void *state, double a, uint64_t b) nogil
   * ctypedef int64_t (*random_uint_i)(void *state, int64_t a) nogil             # <<<<<<<<<<<<<<
   * ctypedef int64_t (*random_uint_iii)(void *state, int64_t a, int64_t b, int64_t c) nogil
   * 
   */
  typedef int64_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_i)(void *, int64_t);
  
  /* "numpy_demo/random/_common.pxd":57
   * ctypedef int64_t (*random_uint_di)(void *state, double a, uint64_t b) nogil
   * ctypedef int64_t (*random_uint_i)(void *state, int64_t a) nogil
   * ctypedef int64_t (*random_uint_iii)(void *state, int64_t a, int64_t b, int64_t c) nogil             # <<<<<<<<<<<<<<
   * 
   * ctypedef uint32_t (*random_uint_0_32)(bitgen_t *state) nogil
   */
  typedef int64_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_iii)(void *, int64_t, int64_t, int64_t);
  
  /* "numpy_demo/random/_common.pxd":59
   * ctypedef int64_t (*random_uint_iii)(void *state, int64_t a, int64_t b, int64_t c) nogil
   * 
   * ctypedef uint32_t (*random_uint_0_32)(bitgen_t *state) nogil             # <<<<<<<<<<<<<<
   * ctypedef uint32_t (*random_uint_1_i_32)(bitgen_t *state, uint32_t a) nogil
   * 
   */
  typedef uint32_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_0_32)(bitgen_t *);
  
  /* "numpy_demo/random/_common.pxd":60
   * 
   * ctypedef uint32_t (*random_uint_0_32)(bitgen_t *state) nogil
   * ctypedef uint32_t (*random_uint_1_i_32)(bitgen_t *state, uint32_t a) nogil             # <<<<<<<<<<<<<<
   * 
   * ctypedef int32_t (*random_int_2_i_32)(bitgen_t *state, int32_t a, int32_t b) nogil
   */
  typedef uint32_t (*__pyx_t_10numpy_demo_6random_7_common_random_uint_1_i_32)(bitgen_t *, uint32_t);
  
  /* "numpy_demo/random/_common.pxd":62
   * ctypedef uint32_t (*random_uint_1_i_32)(bitgen_t *state, uint32_t a) nogil
   * 
   * ctypedef int32_t (*random_int_2_i_32)(bitgen_t *state, int32_t a, int32_t b) nogil             # <<<<<<<<<<<<<<
   * ctypedef int64_t (*random_int_2_i)(bitgen_t *state, int64_t a, int64_t b) nogil
   * 
   */
  typedef int32_t (*__pyx_t_10numpy_demo_6random_7_common_random_int_2_i_32)(bitgen_t *, int32_t, int32_t);
  
  /* "numpy_demo/random/_common.pxd":63
   * 
   * ctypedef int32_t (*random_int_2_i_32)(bitgen_t *state, int32_t a, int32_t b) nogil
   * ctypedef int64_t (*random_int_2_i)(bitgen_t *state, int64_t a, int64_t b) nogil             # <<<<<<<<<<<<<<
   * 
   * cdef double kahan_sum(double *darr, np.npy_intp n)
   */
  typedef int64_t (*__pyx_t_10numpy_demo_6random_7_common_random_int_2_i)(bitgen_t *, int64_t, int64_t);
  
  /* "numpy_demo/random/bit_generator.pxd":14
   *     ctypedef bitgen bitgen_t
   * 
   * cdef class BitGenerator():             # <<<<<<<<<<<<<<
   *     cdef readonly object _seed_seq
   *     cdef readonly object lock
   */
  struct __pyx_obj_10numpy_demo_6random_13bit_generator_BitGenerator {
    PyObject_HEAD
    PyObject *_seed_seq;
    PyObject *lock;
    bitgen_t _bitgen;
    PyObject *_ctypes;
    PyObject *_cffi;
    PyObject *capsule;
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  /* "numpy_demo/random/bit_generator.pxd":23
   * 
   * 
   * cdef class SeedSequence():             # <<<<<<<<<<<<<<
   *     cdef readonly object entropy
   *     cdef readonly tuple spawn_key
   */
  struct __pyx_obj_10numpy_demo_6random_13bit_generator_SeedSequence {
    PyObject_HEAD
    struct __pyx_vtabstruct_10numpy_demo_6random_13bit_generator_SeedSequence *__pyx_vtab;
    PyObject *entropy;
    PyObject *spawn_key;
    uint32_t pool_size;
    PyObject *pool;
    uint32_t n_children_spawned;
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  /* "numpy_demo/random/bit_generator.pxd":34
   *     cdef get_assembled_entropy(self)
   * 
   * cdef class SeedlessSequence():             # <<<<<<<<<<<<<<
   *     pass
   */
  struct __pyx_obj_10numpy_demo_6random_13bit_generator_SeedlessSequence {
    PyObject_HEAD
  };
  
  
  
  /* "numpy_demo/random/bit_generator.pxd":23
   * 
   * 
   * cdef class SeedSequence():             # <<<<<<<<<<<<<<
   *     cdef readonly object entropy
   *     cdef readonly tuple spawn_key
   */
  
  struct __pyx_vtabstruct_10numpy_demo_6random_13bit_generator_SeedSequence {
    PyObject *(*mix_entropy)(struct __pyx_obj_10numpy_demo_6random_13bit_generator_SeedSequence *, PyArrayObject *, PyArrayObject *);
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  static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
  #else
  #define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
  #endif
  #define __Pyx_BUILD_ASSERT_EXPR(cond)\
      (sizeof(char [1 - 2*!(cond)]) - 1)
  #ifndef Py_MEMBER_SIZE
  #define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
  #endif
    static size_t __pyx_pyframe_localsplus_offset = 0;
    #include "frameobject.h"
    #define __Pxy_PyFrame_Initialize_Offsets()\
      ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
       (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
    #define __Pyx_PyFrame_GetLocalsplus(frame)\
      (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
  #endif
  
  /* PyObjectCall.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
  #else
  #define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
  #endif
  
  /* PyObjectCallMethO.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
  #endif
  
  /* PyObjectCallNoArg.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
  #else
  #define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
  #endif
  
  /* PyCFunctionFastCall.proto */
  #if CYTHON_FAST_PYCCALL
  static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
  #else
  #define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
  #endif
  
  /* PyObjectCallOneArg.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);
  
  /* PyThreadStateGet.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
  #define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
  #define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
  #else
  #define __Pyx_PyThreadState_declare
  #define __Pyx_PyThreadState_assign
  #define __Pyx_PyErr_Occurred()  PyErr_Occurred()
  #endif
  
  /* PyErrFetchRestore.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
  #define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
  #define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
  #define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
  #define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
  static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
  static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
  #if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
  #else
  #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
  #endif
  #else
  #define __Pyx_PyErr_Clear() PyErr_Clear()
  #define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
  #define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
  #define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
  #define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
  #define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
  #define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
  #define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
  #endif
  
  /* RaiseException.proto */
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
  
  /* PyDictVersioning.proto */
  #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
  #define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
  #define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
  #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
      (version_var) = __PYX_GET_DICT_VERSION(dict);\
      (cache_var) = (value);
  #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
      static PY_UINT64_T __pyx_dict_version = 0;\
      static PyObject *__pyx_dict_cached_value = NULL;\
      if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
          (VAR) = __pyx_dict_cached_value;\
      } else {\
          (VAR) = __pyx_dict_cached_value = (LOOKUP);\
          __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
      }\
  }
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
  static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
  #else
  #define __PYX_GET_DICT_VERSION(dict)  (0)
  #define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
  #define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
  #endif
  
  /* GetModuleGlobalName.proto */
  #if CYTHON_USE_DICT_VERSIONS
  #define __Pyx_GetModuleGlobalName(var, name)  {\
      static PY_UINT64_T __pyx_dict_version = 0;\
      static PyObject *__pyx_dict_cached_value = NULL;\
      (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\
          (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
          __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
  }
  #define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
      PY_UINT64_T __pyx_dict_version;\
      PyObject *__pyx_dict_cached_value;\
      (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
  }
  static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
  #else
  #define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
  #define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
  static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
  #endif
  
  /* PyObjectCall2Args.proto */
  static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
  
  /* GetTopmostException.proto */
  #if CYTHON_USE_EXC_INFO_STACK
  static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
  #endif
  
  /* SaveResetException.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
  static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
  #define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
  static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
  #else
  #define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
  #define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
  #endif
  
  /* 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
  
  /* Import.proto */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
  
  /* PyErrExceptionMatches.proto */
  #if CYTHON_FAST_THREAD_STATE
  #define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
  static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
  #else
  #define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
  #endif
  
  /* PyIntCompare.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);
  
  /* PyNumberPow2.proto */
  #define __Pyx_PyNumber_InPlacePowerOf2(a, b, c) __Pyx__PyNumber_PowerOf2(a, b, c, 1)
  #define __Pyx_PyNumber_PowerOf2(a, b, c) __Pyx__PyNumber_PowerOf2(a, b, c, 0)
  static PyObject* __Pyx__PyNumber_PowerOf2(PyObject *two, PyObject *exp, PyObject *none, int inplace);
  
  /* ExtTypeTest.proto */
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
  
  /* None.proto */
  static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);
  
  /* 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
  
  /* RaiseTooManyValuesToUnpack.proto */
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);
  
  /* RaiseNeedMoreValuesToUnpack.proto */
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);
  
  /* RaiseNoneIterError.proto */
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);
  
  /* TypeImport.proto */
  #ifndef __PYX_HAVE_RT_ImportType_proto
  #define __PYX_HAVE_RT_ImportType_proto
  enum __Pyx_ImportType_CheckSize {
     __Pyx_ImportType_CheckSize_Error = 0,
     __Pyx_ImportType_CheckSize_Warn = 1,
     __Pyx_ImportType_CheckSize_Ignore = 2
  };
  static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
  #endif
  
  /* GetVTable.proto */
  static void* __Pyx_GetVtable(PyObject *dict);
  
  /* ImportFrom.proto */
  static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
  
  /* CLineInTraceback.proto */
  #ifdef CYTHON_CLINE_IN_TRACEBACK
  #define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
  #else
  static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
  #endif
  
  /* CodeObjectCache.proto */
  typedef struct {
      PyCodeObject* code_object;
      int code_line;
  } __Pyx_CodeObjectCacheEntry;
  struct __Pyx_CodeObjectCache {
      int count;
      int max_count;
      __Pyx_CodeObjectCacheEntry* entries;
  };
  static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
  static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
  static PyCodeObject *__pyx_find_code_object(int code_line);
  static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);
  
  /* AddTraceback.proto */
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_uint64_t(uint64_t value);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int64_t(int64_t value);
  
  /* RealImag.proto */
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      #define __Pyx_CREAL(z) ((z).real())
      #define __Pyx_CIMAG(z) ((z).imag())
    #else
      #define __Pyx_CREAL(z) (__real__(z))
      #define __Pyx_CIMAG(z) (__imag__(z))
    #endif
  #else
      #define __Pyx_CREAL(z) ((z).real)
      #define __Pyx_CIMAG(z) ((z).imag)
  #endif
  #if defined(__cplusplus) && CYTHON_CCOMPLEX\
          && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
      #define __Pyx_SET_CREAL(z,x) ((z).real(x))
      #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
  #else
      #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
      #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
  #endif
  
  /* Arithmetic.proto */
  #if CYTHON_CCOMPLEX
      #define __Pyx_c_eq_float(a, b)   ((a)==(b))
      #define __Pyx_c_sum_float(a, b)  ((a)+(b))
      #define __Pyx_c_diff_float(a, b) ((a)-(b))
      #define __Pyx_c_prod_float(a, b) ((a)*(b))
      #define __Pyx_c_quot_float(a, b) ((a)/(b))
      #define __Pyx_c_neg_float(a)     (-(a))
    #ifdef __cplusplus
      #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
      #define __Pyx_c_conj_float(z)    (::std::conj(z))
      #if 1
          #define __Pyx_c_abs_float(z)     (::std::abs(z))
          #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
      #endif
    #else
      #define __Pyx_c_is_zero_float(z) ((z)==0)
      #define __Pyx_c_conj_float(z)    (conjf(z))
      #if 1
          #define __Pyx_c_abs_float(z)     (cabsf(z))
          #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
      #endif
   #endif
  #else
      static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
      static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
      #if 1
          static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
          static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
      #endif
  #endif
  
  /* Arithmetic.proto */
  #if CYTHON_CCOMPLEX
      #define __Pyx_c_eq_double(a, b)   ((a)==(b))
      #define __Pyx_c_sum_double(a, b)  ((a)+(b))
      #define __Pyx_c_diff_double(a, b) ((a)-(b))
      #define __Pyx_c_prod_double(a, b) ((a)*(b))
      #define __Pyx_c_quot_double(a, b) ((a)/(b))
      #define __Pyx_c_neg_double(a)     (-(a))
    #ifdef __cplusplus
      #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
      #define __Pyx_c_conj_double(z)    (::std::conj(z))
      #if 1
          #define __Pyx_c_abs_double(z)     (::std::abs(z))
          #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
      #endif
    #else
      #define __Pyx_c_is_zero_double(z) ((z)==0)
      #define __Pyx_c_conj_double(z)    (conj(z))
      #if 1
          #define __Pyx_c_abs_double(z)     (cabs(z))
          #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
      #endif
   #endif
  #else
      static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
      static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
      #if 1
          static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
          static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
      #endif
  #endif
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE uint64_t __Pyx_PyInt_As_uint64_t(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE Py_intptr_t __Pyx_PyInt_As_Py_intptr_t(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE int64_t __Pyx_PyInt_As_int64_t(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
  
  /* FastTypeChecks.proto */
  #if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
  static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
  #else
  #define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
  #define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
  #define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
  #endif
  #define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)
  
  /* CheckBinaryVersion.proto */
  static int __Pyx_check_binary_version(void);
  
  /* PyObjectSetAttrStr.proto */
  #if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
  static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
  #else
  #define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
  #define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
  #endif
  
  /* VoidPtrExport.proto */
  static int __Pyx_ExportVoidPtr(PyObject *name, void *p, const char *sig);
  
  /* FunctionExport.proto */
  static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig);
  
  /* InitStrings.proto */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);
  
  
  /* Module declarations from 'libc.stdint' */
  
  /* Module declarations from 'cpython.buffer' */
  
  /* Module declarations from 'libc.string' */
  
  /* Module declarations from 'libc.stdio' */
  
  /* Module declarations from '__builtin__' */
  
  /* Module declarations from 'cpython.type' */
  static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;
  
  /* Module declarations from 'cpython.version' */
  
  /* Module declarations from 'cpython.exc' */
  
  /* Module declarations from 'cpython.module' */
  
  /* Module declarations from 'cpython.mem' */
  
  /* Module declarations from 'cpython.tuple' */
  
  /* Module declarations from 'cpython.list' */
  
  /* Module declarations from 'cpython.sequence' */
  
  /* Module declarations from 'cpython.mapping' */
  
  /* Module declarations from 'cpython.iterator' */
  
  /* Module declarations from 'cpython.number' */
  
  /* Module declarations from 'cpython.int' */
  
  /* Module declarations from '__builtin__' */
  
  /* Module declarations from 'cpython.bool' */
  static PyTypeObject *__pyx_ptype_7cpython_4bool_bool = 0;
  
  /* Module declarations from 'cpython.long' */
  
  /* Module declarations from 'cpython.float' */
  
  /* Module declarations from '__builtin__' */
  
  /* Module declarations from 'cpython.complex' */
  static PyTypeObject *__pyx_ptype_7cpython_7complex_complex = 0;
  
  /* Module declarations from 'cpython.string' */
  
  /* Module declarations from 'cpython.unicode' */
  
  /* Module declarations from 'cpython.dict' */
  
  /* Module declarations from 'cpython.instance' */
  
  /* Module declarations from 'cpython.function' */
  
  /* Module declarations from 'cpython.method' */
  
  /* Module declarations from 'cpython.weakref' */
  
  /* Module declarations from 'cpython.getargs' */
  
  /* Module declarations from 'cpython.pythread' */
  
  /* Module declarations from 'cpython.pystate' */
  
  /* Module declarations from 'cpython.cobject' */
  
  /* Module declarations from 'cpython.oldbuffer' */
  
  /* Module declarations from 'cpython.set' */
  
  /* Module declarations from 'cpython.bytes' */
  
  /* Module declarations from 'cpython.pycapsule' */
  
  /* Module declarations from 'cpython' */
  
  /* Module declarations from 'cpython.object' */
  
  /* Module declarations from 'cpython.ref' */
  
  /* Module declarations from 'numpy_demo' */
  
  /* Module declarations from 'numpy_demo' */
  static PyTypeObject *__pyx_ptype_10numpy_demo_dtype = 0;
  static PyTypeObject *__pyx_ptype_10numpy_demo_flatiter = 0;
  static PyTypeObject *__pyx_ptype_10numpy_demo_broadcast = 0;
  static PyTypeObject *__pyx_ptype_10numpy_demo_ndarray = 0;
  static PyTypeObject *__pyx_ptype_10numpy_demo_ufunc = 0;
  static CYTHON_INLINE PyObject *__pyx_f_10numpy_demo_PyArray_MultiIterNew2(PyObject *, PyObject *); /*proto*/
  static CYTHON_INLINE PyObject *__pyx_f_10numpy_demo_PyArray_MultiIterNew3(PyObject *, PyObject *, PyObject *); /*proto*/
  static CYTHON_INLINE PyObject *__pyx_f_10numpy_demo_PyArray_MultiIterNew4(PyObject *, PyObject *, PyObject *, PyObject *); /*proto*/
  static CYTHON_INLINE char *__pyx_f_10numpy_demo__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/
  static CYTHON_INLINE int __pyx_f_10numpy_demo_import_array(void); /*proto*/
  
  /* Module declarations from 'numpy_demo.random.bit_generator' */
  static PyTypeObject *__pyx_ptype_10numpy_demo_6random_13bit_generator_BitGenerator = 0;
  static PyTypeObject *__pyx_ptype_10numpy_demo_6random_13bit_generator_SeedSequence = 0;
  static PyTypeObject *__pyx_ptype_10numpy_demo_6random_13bit_generator_SeedlessSequence = 0;
  
  /* Module declarations from 'numpy_demo.random' */
  
  /* Module declarations from 'numpy_demo.random._common' */
  static double __pyx_v_10numpy_demo_6random_7_common_POISSON_LAM_MAX;
  static double __pyx_v_10numpy_demo_6random_7_common_LEGACY_POISSON_LAM_MAX;
  static uint64_t __pyx_v_10numpy_demo_6random_7_common_MAXSIZE;
  static int __pyx_f_10numpy_demo_6random_7_common_check_constraint(double, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static int __pyx_f_10numpy_demo_6random_7_common_check_array_constraint(PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_cont_broadcast_3(void *, void *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_check_output(PyObject *, PyObject *, PyObject *); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_cont_broadcast_1(void *, void *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type, PyObject *); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_cont_broadcast_2(void *, void *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_discrete_broadcast_d(void *, void *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_discrete_broadcast_dd(void *, void *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_discrete_broadcast_di(void *, void *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_discrete_broadcast_i(void *, void *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type); /*proto*/
  static PyObject *__pyx_f_10numpy_demo_6random_7_common_cont_broadcast_1_f(void *, bitgen_t *, PyObject *, PyObject *, PyArrayObject *, PyObject *, __pyx_t_10numpy_demo_6random_7_common_constraint_type, PyObject *); /*proto*/
  #define __Pyx_MODULE_NAME "numpy_demo.random._common"
  extern int __pyx_module_is_main_numpy_demo__random___common;
  int __pyx_module_is_main_numpy_demo__random___common = 0;
  
  /* Implementation of 'numpy_demo.random._common' */
  static PyObject *__pyx_builtin_range;
  static PyObject *__pyx_builtin_ValueError;
  static PyObject *__pyx_builtin_ImportError;
  static PyObject *__pyx_builtin_TypeError;
  static PyObject *__pyx_builtin_NotImplementedError;
  static PyObject *__pyx_builtin_RuntimeError;
  static const char __pyx_k_0[] = " < 0";
  static const char __pyx_k_l[] = "l";
  static const char __pyx_k_np[] = "np";
  static const char __pyx_k_0_2[] = " <= 0";
  static const char __pyx_k_FFI[] = "FFI";
  static const char __pyx_k_all[] = "all";
  static const char __pyx_k_any[] = "any";
  static const char __pyx_k_len[] = "len";
  static const char __pyx_k_max[] = "max";
  static const char __pyx_k_sum[] = "sum";
  static const char __pyx_k_sys[] = "sys";
  static const char __pyx_k_bits[] = "bits";
  static const char __pyx_k_cast[] = "cast";
  static const char __pyx_k_cffi[] = "cffi";
  static const char __pyx_k_exit[] = "__exit__";
  static const char __pyx_k_main[] = "__main__";
  static const char __pyx_k_name[] = "name";
  static const char __pyx_k_sqrt[] = "sqrt";
  static const char __pyx_k_test[] = "__test__";
  static const char __pyx_k_void[] = "void *";
  static const char __pyx_k_all_2[] = "__all__";
  static const char __pyx_k_dtype[] = "dtype";
  static const char __pyx_k_empty[] = "empty";
  static const char __pyx_k_enter[] = "__enter__";
  static const char __pyx_k_iinfo[] = "iinfo";
  static const char __pyx_k_int64[] = "int64";
  static const char __pyx_k_isnan[] = "isnan";
  static const char __pyx_k_range[] = "range";
  static const char __pyx_k_shape[] = "shape";
  static const char __pyx_k_state[] = "state";
  static const char __pyx_k_astype[] = "astype";
  static const char __pyx_k_ctypes[] = "ctypes";
  static const char __pyx_k_double[] = "double";
  static const char __pyx_k_format[] = "format";
  static const char __pyx_k_import[] = "__import__";
  static const char __pyx_k_name_2[] = "__name__";
  static const char __pyx_k_uint32[] = "uint32";
  static const char __pyx_k_uint64[] = "uint64";
  static const char __pyx_k_MAXSIZE[] = "MAXSIZE";
  static const char __pyx_k_asarray[] = "asarray";
  static const char __pyx_k_float32[] = "float32";
  static const char __pyx_k_float64[] = "float64";
  static const char __pyx_k_greater[] = "greater";
  static const char __pyx_k_maxsize[] = "maxsize";
  static const char __pyx_k_signbit[] = "signbit";
  static const char __pyx_k_c_double[] = "c_double";
  static const char __pyx_k_c_uint32[] = "c_uint32";
  static const char __pyx_k_c_uint64[] = "c_uint64";
  static const char __pyx_k_c_void_p[] = "c_void_p";
  static const char __pyx_k_pyx_capi[] = "__pyx_capi__";
  static const char __pyx_k_CFUNCTYPE[] = "CFUNCTYPE";
  static const char __pyx_k_TypeError[] = "TypeError";
  static const char __pyx_k_interface[] = "interface";
  static const char __pyx_k_ValueError[] = "ValueError";
  static const char __pyx_k_less_equal[] = "less_equal";
  static const char __pyx_k_namedtuple[] = "namedtuple";
  static const char __pyx_k_numpy_demo[] = "numpy_demo";
  static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
  static const char __pyx_k_ImportError[] = "ImportError";
  static const char __pyx_k_collections[] = "collections";
  static const char __pyx_k_double_void[] = "double (*)(void *)";
  static const char __pyx_k_logical_and[] = "logical_and";
  static const char __pyx_k_logical_not[] = "logical_not";
  static const char __pyx_k_next_double[] = "next_double";
  static const char __pyx_k_next_uint32[] = "next_uint32";
  static const char __pyx_k_next_uint64[] = "next_uint64";
  static const char __pyx_k_RuntimeError[] = "RuntimeError";
  static const char __pyx_k_bit_generator[] = "bit_generator";
  static const char __pyx_k_greater_equal[] = "greater_equal";
  static const char __pyx_k_state_address[] = "state_address";
  static const char __pyx_k_uint32_t_void[] = "uint32_t (*)(void *)";
  static const char __pyx_k_uint64_t_void[] = "uint64_t (*)(void *)";
  static const char __pyx_k_Unknown_method[] = "Unknown method";
  static const char __pyx_k_0_0_or_0_is_NaN[] = "{0} < 0 or {0} is NaN";
  static const char __pyx_k_0_1_or_0_is_NaN[] = "{0} <= 1 or {0} is NaN";
  static const char __pyx_k_POISSON_LAM_MAX[] = "POISSON_LAM_MAX";
  static const char __pyx_k_must_not_be_NaN[] = " must not be NaN";
  static const char __pyx_k_value_too_large[] = " value too large";
  static const char __pyx_k_0_1_or_0_is_NaN_2[] = "{0} < 1 or {0} is NaN";
  static const char __pyx_k_0_value_too_large[] = "{0} value too large";
  static const char __pyx_k_Unknown_uint_size[] = "Unknown uint_size";
  static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
  static const char __pyx_k_0_0_0_1_or_0_is_NaN[] = "{0} < 0, {0} > 1 or {0} is NaN";
  static const char __pyx_k_NotImplementedError[] = "NotImplementedError";
  static const char __pyx_k_0_0_or_0_contains_NaNs[] = "{0} < 0 or {0} contains NaNs";
  static const char __pyx_k_0_1_or_0_contains_NaNs[] = "{0} <= 1 or {0} contains NaNs";
  static const char __pyx_k_LEGACY_POISSON_LAM_MAX[] = "LEGACY_POISSON_LAM_MAX";
  static const char __pyx_k_cffi_cannot_be_imported[] = "cffi cannot be imported.";
  static const char __pyx_k_0_1_or_0_contains_NaNs_2[] = "{0} < 1 or {0} contains NaNs";
  static const char __pyx_k_No_vector_path_available[] = "No vector path available";
  static const char __pyx_k_0_0_0_1_or_0_contains_NaNs[] = "{0} < 0, {0} > 1 or {0} contains NaNs";
  static const char __pyx_k_0_0_0_1_or_0_contains_NaNs_2[] = "{0} <= 0, {0} > 1 or {0} contains NaNs";
  static const char __pyx_k_name_must_be_positive_and_less[] = "{name} must be positive and less than 2**{bits}.";
  static const char __pyx_k_name_must_have_len_elements_whe[] = "{name} must have {len} elements when using array form";
  static const char __pyx_k_numpy_demo_core_umath_failed_to[] = "numpy_demo.core.umath failed to import";
  static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy_demo.pxd";
  static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
  static const char __pyx_k_Supplied_output_array_has_the_wr[] = "Supplied output array has the wrong type. Expected {0}, got {1}";
  static const char __pyx_k_Supplied_output_array_is_not_con[] = "Supplied output array is not contiguous, writable or aligned.";
  static const char __pyx_k_numpy_demo_core_multiarray_faile[] = "numpy_demo.core.multiarray failed to import";
  static const char __pyx_k_size_must_match_out_shape_when_u[] = "size must match out.shape when used together";
  static const char __pyx_k_unknown_dtype_code_in_numpy_demo[] = "unknown dtype code in numpy_demo.pxd (%d)";
  static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
  static PyObject *__pyx_kp_u_0;
  static PyObject *__pyx_kp_u_0_0_0_1_or_0_contains_NaNs;
  static PyObject *__pyx_kp_u_0_0_0_1_or_0_contains_NaNs_2;
  static PyObject *__pyx_kp_u_0_0_0_1_or_0_is_NaN;
  static PyObject *__pyx_kp_u_0_0_or_0_contains_NaNs;
  static PyObject *__pyx_kp_u_0_0_or_0_is_NaN;
  static PyObject *__pyx_kp_u_0_1_or_0_contains_NaNs;
  static PyObject *__pyx_kp_u_0_1_or_0_contains_NaNs_2;
  static PyObject *__pyx_kp_u_0_1_or_0_is_NaN;
  static PyObject *__pyx_kp_u_0_1_or_0_is_NaN_2;
  static PyObject *__pyx_kp_u_0_2;
  static PyObject *__pyx_kp_u_0_value_too_large;
  static PyObject *__pyx_n_s_CFUNCTYPE;
  static PyObject *__pyx_n_s_FFI;
  static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
  static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
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  static PyObject *__pyx_n_s_MAXSIZE;
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  static PyObject *__pyx_n_s_ValueError;
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  static PyObject *__pyx_n_s_all_2;
  static PyObject *__pyx_n_s_any;
  static PyObject *__pyx_n_s_asarray;
  static PyObject *__pyx_n_s_astype;
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  static PyObject *__pyx_n_s_bits;
  static PyObject *__pyx_n_s_c_double;
  static PyObject *__pyx_n_s_c_uint32;
  static PyObject *__pyx_n_s_c_uint64;
  static PyObject *__pyx_n_s_c_void_p;
  static PyObject *__pyx_n_s_cast;
  static PyObject *__pyx_n_s_cffi;
  static PyObject *__pyx_kp_u_cffi_cannot_be_imported;
  static PyObject *__pyx_n_s_cline_in_traceback;
  static PyObject *__pyx_n_s_collections;
  static PyObject *__pyx_n_s_ctypes;
  static PyObject *__pyx_n_s_double;
  static PyObject *__pyx_n_u_double;
  static PyObject *__pyx_kp_u_double_void;
  static PyObject *__pyx_n_s_dtype;
  static PyObject *__pyx_n_s_empty;
  static PyObject *__pyx_n_s_enter;
  static PyObject *__pyx_n_s_exit;
  static PyObject *__pyx_n_s_float32;
  static PyObject *__pyx_n_s_float64;
  static PyObject *__pyx_n_s_format;
  static PyObject *__pyx_n_s_greater;
  static PyObject *__pyx_n_s_greater_equal;
  static PyObject *__pyx_n_s_iinfo;
  static PyObject *__pyx_n_s_import;
  static PyObject *__pyx_n_s_int64;
  static PyObject *__pyx_n_u_int64;
  static PyObject *__pyx_n_s_interface;
  static PyObject *__pyx_n_u_interface;
  static PyObject *__pyx_n_s_isnan;
  static PyObject *__pyx_n_u_l;
  static PyObject *__pyx_n_s_len;
  static PyObject *__pyx_n_s_less_equal;
  static PyObject *__pyx_n_s_logical_and;
  static PyObject *__pyx_n_s_logical_not;
  static PyObject *__pyx_n_s_main;
  static PyObject *__pyx_n_s_max;
  static PyObject *__pyx_n_s_maxsize;
  static PyObject *__pyx_kp_u_must_not_be_NaN;
  static PyObject *__pyx_n_s_name;
  static PyObject *__pyx_n_s_name_2;
  static PyObject *__pyx_kp_u_name_must_be_positive_and_less;
  static PyObject *__pyx_kp_u_name_must_have_len_elements_whe;
  static PyObject *__pyx_n_s_namedtuple;
  static PyObject *__pyx_n_u_next_double;
  static PyObject *__pyx_n_u_next_uint32;
  static PyObject *__pyx_n_u_next_uint64;
  static PyObject *__pyx_n_s_np;
  static PyObject *__pyx_n_s_numpy_demo;
  static PyObject *__pyx_kp_u_numpy_demo_core_multiarray_faile;
  static PyObject *__pyx_kp_u_numpy_demo_core_umath_failed_to;
  static PyObject *__pyx_n_s_pyx_capi;
  static PyObject *__pyx_n_s_pyx_vtable;
  static PyObject *__pyx_n_s_range;
  static PyObject *__pyx_n_s_shape;
  static PyObject *__pyx_n_s_signbit;
  static PyObject *__pyx_kp_u_size_must_match_out_shape_when_u;
  static PyObject *__pyx_n_s_sqrt;
  static PyObject *__pyx_n_u_state;
  static PyObject *__pyx_n_u_state_address;
  static PyObject *__pyx_n_s_sum;
  static PyObject *__pyx_n_s_sys;
  static PyObject *__pyx_n_s_test;
  static PyObject *__pyx_n_s_uint32;
  static PyObject *__pyx_kp_u_uint32_t_void;
  static PyObject *__pyx_n_s_uint64;
  static PyObject *__pyx_n_u_uint64;
  static PyObject *__pyx_kp_u_uint64_t_void;
  static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_demo;
  static PyObject *__pyx_kp_u_value_too_large;
  static PyObject *__pyx_kp_u_void;
  static int __pyx_pf_10numpy_demo_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
  static void __pyx_pf_10numpy_demo_7ndarray_2__releasebuffer__(CYTHON_UNUSED PyArrayObject *__pyx_v_self, CYTHON_UNUSED Py_buffer *__pyx_v_info); /* proto */
  static PyObject *__pyx_float_0_0;
  static PyObject *__pyx_int_0;
  static PyObject *__pyx_int_1;
  static PyObject *__pyx_int_2;
  static PyObject *__pyx_int_10;
  static PyObject *__pyx_int_32;
  static PyObject *__pyx_int_64;
  static PyObject *__pyx_tuple_;
  static PyObject *__pyx_tuple__2;
  static PyObject *__pyx_tuple__3;
  static PyObject *__pyx_tuple__4;
  static PyObject *__pyx_tuple__5;
  static PyObject *__pyx_tuple__6;
  static PyObject *__pyx_tuple__7;
  static PyObject *__pyx_tuple__8;
  static PyObject *__pyx_tuple__9;
  static PyObject *__pyx_tuple__10;
  static PyObject *__pyx_tuple__11;
  static PyObject *__pyx_tuple__12;
  static PyObject *__pyx_tuple__13;
  static PyObject *__pyx_tuple__14;
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          /* "numpy_demo/random/_common.pyx":794
   *     if not is_scalar:
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   *             if narg_double == 1:             # <<<<<<<<<<<<<<
   *                 return discrete_broadcast_d(func, state, size, lock,
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   */
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          /* "numpy_demo/random/_common.pyx":798
   *                                             a_arr, a_name, a_constraint)
   *             elif narg_double == 2:
   *                 return discrete_broadcast_dd(func, state, size, lock,             # <<<<<<<<<<<<<<
   *                                              a_arr, a_name, a_constraint,
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   */
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   *                                              a_arr, a_name, a_constraint,             # <<<<<<<<<<<<<<
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   *                 return discrete_broadcast_dd(func, state, size, lock,
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          /* "numpy_demo/random/_common.pyx":798
   *                                             a_arr, a_name, a_constraint)
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   *                 return discrete_broadcast_dd(func, state, size, lock,             # <<<<<<<<<<<<<<
   *                                              a_arr, a_name, a_constraint,
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          /* "numpy_demo/random/_common.pyx":797
   *                 return discrete_broadcast_d(func, state, size, lock,
   *                                             a_arr, a_name, a_constraint)
   *             elif narg_double == 2:             # <<<<<<<<<<<<<<
   *                 return discrete_broadcast_dd(func, state, size, lock,
   *                                              a_arr, a_name, a_constraint,
   */
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        /* "numpy_demo/random/_common.pyx":793
   * 
   *     if not is_scalar:
   *         if narg_int64 == 0:             # <<<<<<<<<<<<<<
   *             if narg_double == 1:
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        /* "numpy_demo/random/_common.pyx":802
   *                                              b_arr, b_name, b_constraint)
   *         elif narg_int64 == 1:
   *             if narg_double == 0:             # <<<<<<<<<<<<<<
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          /* "numpy_demo/random/_common.pyx":803
   *         elif narg_int64 == 1:
   *             if narg_double == 0:
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   *                                             a_arr, a_name, a_constraint)
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   */
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   *             if narg_double == 0:
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   *         elif narg_int64 == 1:
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   *                 return discrete_broadcast_i(func, state, size, lock,             # <<<<<<<<<<<<<<
   *                                             a_arr, a_name, a_constraint)
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   */
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          /* "numpy_demo/random/_common.pyx":802
   *                                              b_arr, b_name, b_constraint)
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   *             if narg_double == 0:             # <<<<<<<<<<<<<<
   *                 return discrete_broadcast_i(func, state, size, lock,
   *                                             a_arr, a_name, a_constraint)
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   *                                             a_arr, a_name, a_constraint)
   *             elif narg_double == 1:
   *                 return discrete_broadcast_di(func, state, size, lock,             # <<<<<<<<<<<<<<
   *                                              a_arr, a_name, a_constraint,
   *                                              b_arr, b_name, b_constraint)
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   *                                              a_arr, a_name, a_constraint,             # <<<<<<<<<<<<<<
   *                                              b_arr, b_name, b_constraint)
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   *                 return discrete_broadcast_di(func, state, size, lock,
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   *                                              b_arr, b_name, b_constraint)             # <<<<<<<<<<<<<<
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          /* "numpy_demo/random/_common.pyx":806
   *                                             a_arr, a_name, a_constraint)
   *             elif narg_double == 1:
   *                 return discrete_broadcast_di(func, state, size, lock,             # <<<<<<<<<<<<<<
   *                                              a_arr, a_name, a_constraint,
   *                                              b_arr, b_name, b_constraint)
   */
          __pyx_t_2 = __pyx_f_10numpy_demo_6random_7_common_discrete_broadcast_di(__pyx_v_func, __pyx_v_state, __pyx_v_size, __pyx_v_lock, __pyx_v_a_arr, __pyx_v_a_name, __pyx_v_a_constraint, __pyx_v_b_arr, __pyx_v_b_name, __pyx_v_b_constraint); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 806, __pyx_L1_error)
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          /* "numpy_demo/random/_common.pyx":805
   *                 return discrete_broadcast_i(func, state, size, lock,
   *                                             a_arr, a_name, a_constraint)
   *             elif narg_double == 1:             # <<<<<<<<<<<<<<
   *                 return discrete_broadcast_di(func, state, size, lock,
   *                                              a_arr, a_name, a_constraint,
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   *                                              a_arr, a_name, a_constraint,
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   *         elif narg_int64 == 1:             # <<<<<<<<<<<<<<
   *             if narg_double == 0:
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   */
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        /* "numpy_demo/random/_common.pyx":810
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   * 
   *     if narg_double > 0:
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      /* "numpy_demo/random/_common.pyx":792
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   * 
   *     if not is_scalar:             # <<<<<<<<<<<<<<
   *         if narg_int64 == 0:
   *             if narg_double == 1:
   */
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    /* "numpy_demo/random/_common.pyx":812
   *             raise NotImplementedError("No vector path available")
   * 
   *     if narg_double > 0:             # <<<<<<<<<<<<<<
   *         _da = PyFloat_AsDouble(a)
   *         if a_constraint != CONS_NONE and is_scalar:
   */
    __pyx_t_1 = ((__pyx_v_narg_double > 0) != 0);
    if (__pyx_t_1) {
  
      /* "numpy_demo/random/_common.pyx":813
   * 
   *     if narg_double > 0:
   *         _da = PyFloat_AsDouble(a)             # <<<<<<<<<<<<<<
   *         if a_constraint != CONS_NONE and is_scalar:
   *             check_constraint(_da, a_name, a_constraint)
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      __pyx_t_5 = PyFloat_AsDouble(__pyx_v_a); if (unlikely(__pyx_t_5 == ((double)-1.0) && PyErr_Occurred())) __PYX_ERR(0, 813, __pyx_L1_error)
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      /* "numpy_demo/random/_common.pyx":814
   *     if narg_double > 0:
   *         _da = PyFloat_AsDouble(a)
   *         if a_constraint != CONS_NONE and is_scalar:             # <<<<<<<<<<<<<<
   *             check_constraint(_da, a_name, a_constraint)
   * 
   */
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      } else {
        __pyx_t_1 = __pyx_t_4;
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      __pyx_t_4 = (__pyx_v_is_scalar != 0);
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        /* "numpy_demo/random/_common.pyx":815
   *         _da = PyFloat_AsDouble(a)
   *         if a_constraint != CONS_NONE and is_scalar:
   *             check_constraint(_da, a_name, a_constraint)             # <<<<<<<<<<<<<<
   * 
   *         if narg_double > 1:
   */
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        /* "numpy_demo/random/_common.pyx":814
   *     if narg_double > 0:
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   *         if a_constraint != CONS_NONE and is_scalar:             # <<<<<<<<<<<<<<
   *             check_constraint(_da, a_name, a_constraint)
   * 
   */
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      /* "numpy_demo/random/_common.pyx":817
   *             check_constraint(_da, a_name, a_constraint)
   * 
   *         if narg_double > 1:             # <<<<<<<<<<<<<<
   *             _db = PyFloat_AsDouble(b)
   *             if b_constraint != CONS_NONE and is_scalar:
   */
      __pyx_t_1 = ((__pyx_v_narg_double > 1) != 0);
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        /* "numpy_demo/random/_common.pyx":818
   * 
   *         if narg_double > 1:
   *             _db = PyFloat_AsDouble(b)             # <<<<<<<<<<<<<<
   *             if b_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(_db, b_name, b_constraint)
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        __pyx_v__db = __pyx_t_5;
  
        /* "numpy_demo/random/_common.pyx":819
   *         if narg_double > 1:
   *             _db = PyFloat_AsDouble(b)
   *             if b_constraint != CONS_NONE and is_scalar:             # <<<<<<<<<<<<<<
   *                 check_constraint(_db, b_name, b_constraint)
   *         elif narg_int64 == 1:
   */
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        } else {
          __pyx_t_1 = __pyx_t_4;
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          /* "numpy_demo/random/_common.pyx":820
   *             _db = PyFloat_AsDouble(b)
   *             if b_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(_db, b_name, b_constraint)             # <<<<<<<<<<<<<<
   *         elif narg_int64 == 1:
   *             _ib = <int64_t>b
   */
          __pyx_t_6 = __pyx_f_10numpy_demo_6random_7_common_check_constraint(__pyx_v__db, __pyx_v_b_name, __pyx_v_b_constraint); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(0, 820, __pyx_L1_error)
  
          /* "numpy_demo/random/_common.pyx":819
   *         if narg_double > 1:
   *             _db = PyFloat_AsDouble(b)
   *             if b_constraint != CONS_NONE and is_scalar:             # <<<<<<<<<<<<<<
   *                 check_constraint(_db, b_name, b_constraint)
   *         elif narg_int64 == 1:
   */
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        /* "numpy_demo/random/_common.pyx":817
   *             check_constraint(_da, a_name, a_constraint)
   * 
   *         if narg_double > 1:             # <<<<<<<<<<<<<<
   *             _db = PyFloat_AsDouble(b)
   *             if b_constraint != CONS_NONE and is_scalar:
   */
        goto __pyx_L25;
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      /* "numpy_demo/random/_common.pyx":821
   *             if b_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(_db, b_name, b_constraint)
   *         elif narg_int64 == 1:             # <<<<<<<<<<<<<<
   *             _ib = <int64_t>b
   *             if b_constraint != CONS_NONE and is_scalar:
   */
      __pyx_t_1 = ((__pyx_v_narg_int64 == 1) != 0);
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        /* "numpy_demo/random/_common.pyx":822
   *                 check_constraint(_db, b_name, b_constraint)
   *         elif narg_int64 == 1:
   *             _ib = <int64_t>b             # <<<<<<<<<<<<<<
   *             if b_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(<double>_ib, b_name, b_constraint)
   */
        __pyx_t_7 = __Pyx_PyInt_As_int64_t(__pyx_v_b); if (unlikely((__pyx_t_7 == ((int64_t)-1)) && PyErr_Occurred())) __PYX_ERR(0, 822, __pyx_L1_error)
        __pyx_v__ib = ((int64_t)__pyx_t_7);
  
        /* "numpy_demo/random/_common.pyx":823
   *         elif narg_int64 == 1:
   *             _ib = <int64_t>b
   *             if b_constraint != CONS_NONE and is_scalar:             # <<<<<<<<<<<<<<
   *                 check_constraint(<double>_ib, b_name, b_constraint)
   *     else:
   */
        __pyx_t_4 = ((__pyx_v_b_constraint != __pyx_e_10numpy_demo_6random_7_common_CONS_NONE) != 0);
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          goto __pyx_L30_bool_binop_done;
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        __pyx_t_4 = (__pyx_v_is_scalar != 0);
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          /* "numpy_demo/random/_common.pyx":824
   *             _ib = <int64_t>b
   *             if b_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(<double>_ib, b_name, b_constraint)             # <<<<<<<<<<<<<<
   *     else:
   *         if narg_int64 > 0:
   */
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          /* "numpy_demo/random/_common.pyx":823
   *         elif narg_int64 == 1:
   *             _ib = <int64_t>b
   *             if b_constraint != CONS_NONE and is_scalar:             # <<<<<<<<<<<<<<
   *                 check_constraint(<double>_ib, b_name, b_constraint)
   *     else:
   */
        }
  
        /* "numpy_demo/random/_common.pyx":821
   *             if b_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(_db, b_name, b_constraint)
   *         elif narg_int64 == 1:             # <<<<<<<<<<<<<<
   *             _ib = <int64_t>b
   *             if b_constraint != CONS_NONE and is_scalar:
   */
      }
      __pyx_L25:;
  
      /* "numpy_demo/random/_common.pyx":812
   *             raise NotImplementedError("No vector path available")
   * 
   *     if narg_double > 0:             # <<<<<<<<<<<<<<
   *         _da = PyFloat_AsDouble(a)
   *         if a_constraint != CONS_NONE and is_scalar:
   */
      goto __pyx_L21;
    }
  
    /* "numpy_demo/random/_common.pyx":826
   *                 check_constraint(<double>_ib, b_name, b_constraint)
   *     else:
   *         if narg_int64 > 0:             # <<<<<<<<<<<<<<
   *             _ia = <int64_t>a
   *             if a_constraint != CONS_NONE and is_scalar:
   */
    /*else*/ {
      __pyx_t_1 = ((__pyx_v_narg_int64 > 0) != 0);
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        /* "numpy_demo/random/_common.pyx":827
   *     else:
   *         if narg_int64 > 0:
   *             _ia = <int64_t>a             # <<<<<<<<<<<<<<
   *             if a_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(<double>_ia, a_name, a_constraint)
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        __pyx_t_7 = __Pyx_PyInt_As_int64_t(__pyx_v_a); if (unlikely((__pyx_t_7 == ((int64_t)-1)) && PyErr_Occurred())) __PYX_ERR(0, 827, __pyx_L1_error)
        __pyx_v__ia = ((int64_t)__pyx_t_7);
  
        /* "numpy_demo/random/_common.pyx":828
   *         if narg_int64 > 0:
   *             _ia = <int64_t>a
   *             if a_constraint != CONS_NONE and is_scalar:             # <<<<<<<<<<<<<<
   *                 check_constraint(<double>_ia, a_name, a_constraint)
   *         if narg_int64 > 1:
   */
        __pyx_t_4 = ((__pyx_v_a_constraint != __pyx_e_10numpy_demo_6random_7_common_CONS_NONE) != 0);
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          __pyx_t_1 = __pyx_t_4;
          goto __pyx_L34_bool_binop_done;
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        __pyx_t_4 = (__pyx_v_is_scalar != 0);
        __pyx_t_1 = __pyx_t_4;
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          /* "numpy_demo/random/_common.pyx":829
   *             _ia = <int64_t>a
   *             if a_constraint != CONS_NONE and is_scalar:
   *                 check_constraint(<double>_ia, a_name, a_constraint)             # <<<<<<<<<<<<<<
   *         if narg_int64 > 1:
   *             _ib = <int64_t>b
   */
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  /* PyObjectCallNoArg */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
  #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(func)) {
          return __Pyx_PyFunction_FastCall(func, NULL, 0);
      }
  #endif
  #ifdef __Pyx_CyFunction_USED
      if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
  #else
      if (likely(PyCFunction_Check(func)))
  #endif
      {
          if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
              return __Pyx_PyObject_CallMethO(func, NULL);
          }
      }
      return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
  }
  #endif
  
  /* PyCFunctionFastCall */
  #if CYTHON_FAST_PYCCALL
  static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
      PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
      PyCFunction meth = PyCFunction_GET_FUNCTION(func);
      PyObject *self = PyCFunction_GET_SELF(func);
      int flags = PyCFunction_GET_FLAGS(func);
      assert(PyCFunction_Check(func));
      assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
      assert(nargs >= 0);
      assert(nargs == 0 || args != NULL);
      /* _PyCFunction_FastCallDict() must not be called with an exception set,
         because it may clear it (directly or indirectly) and so the
         caller loses its exception */
      assert(!PyErr_Occurred());
      if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
          return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
      } else {
          return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
      }
  }
  #endif
  
  /* PyObjectCallOneArg */
  #if CYTHON_COMPILING_IN_CPYTHON
  static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
      PyObject *result;
      PyObject *args = PyTuple_New(1);
      if (unlikely(!args)) return NULL;
      Py_INCREF(arg);
      PyTuple_SET_ITEM(args, 0, arg);
      result = __Pyx_PyObject_Call(func, args, NULL);
      Py_DECREF(args);
      return result;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
  #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(func)) {
          return __Pyx_PyFunction_FastCall(func, &arg, 1);
      }
  #endif
      if (likely(PyCFunction_Check(func))) {
          if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
              return __Pyx_PyObject_CallMethO(func, arg);
  #if CYTHON_FAST_PYCCALL
          } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
              return __Pyx_PyCFunction_FastCall(func, &arg, 1);
  #endif
          }
      }
      return __Pyx__PyObject_CallOneArg(func, arg);
  }
  #else
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
      PyObject *result;
      PyObject *args = PyTuple_Pack(1, arg);
      if (unlikely(!args)) return NULL;
      result = __Pyx_PyObject_Call(func, args, NULL);
      Py_DECREF(args);
      return result;
  }
  #endif
  
  /* PyErrFetchRestore */
  #if CYTHON_FAST_THREAD_STATE
  static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      tmp_type = tstate->curexc_type;
      tmp_value = tstate->curexc_value;
      tmp_tb = tstate->curexc_traceback;
      tstate->curexc_type = type;
      tstate->curexc_value = value;
      tstate->curexc_traceback = tb;
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  }
  static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
      *type = tstate->curexc_type;
      *value = tstate->curexc_value;
      *tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  }
  #endif
  
  /* RaiseException */
  #if PY_MAJOR_VERSION < 3
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                          CYTHON_UNUSED PyObject *cause) {
      __Pyx_PyThreadState_declare
      Py_XINCREF(type);
      if (!value || value == Py_None)
          value = NULL;
      else
          Py_INCREF(value);
      if (!tb || tb == Py_None)
          tb = NULL;
      else {
          Py_INCREF(tb);
          if (!PyTraceBack_Check(tb)) {
              PyErr_SetString(PyExc_TypeError,
                  "raise: arg 3 must be a traceback or None");
              goto raise_error;
          }
      }
      if (PyType_Check(type)) {
  #if CYTHON_COMPILING_IN_PYPY
          if (!value) {
              Py_INCREF(Py_None);
              value = Py_None;
          }
  #endif
          PyErr_NormalizeException(&type, &value, &tb);
      } else {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto raise_error;
          }
          value = type;
          type = (PyObject*) Py_TYPE(type);
          Py_INCREF(type);
          if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
              PyErr_SetString(PyExc_TypeError,
                  "raise: exception class must be a subclass of BaseException");
              goto raise_error;
          }
      }
      __Pyx_PyThreadState_assign
      __Pyx_ErrRestore(type, value, tb);
      return;
  raise_error:
      Py_XDECREF(value);
      Py_XDECREF(type);
      Py_XDECREF(tb);
      return;
  }
  #else
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
      PyObject* owned_instance = NULL;
      if (tb == Py_None) {
          tb = 0;
      } else if (tb && !PyTraceBack_Check(tb)) {
          PyErr_SetString(PyExc_TypeError,
              "raise: arg 3 must be a traceback or None");
          goto bad;
      }
      if (value == Py_None)
          value = 0;
      if (PyExceptionInstance_Check(type)) {
          if (value) {
              PyErr_SetString(PyExc_TypeError,
                  "instance exception may not have a separate value");
              goto bad;
          }
          value = type;
          type = (PyObject*) Py_TYPE(value);
      } else if (PyExceptionClass_Check(type)) {
          PyObject *instance_class = NULL;
          if (value && PyExceptionInstance_Check(value)) {
              instance_class = (PyObject*) Py_TYPE(value);
              if (instance_class != type) {
                  int is_subclass = PyObject_IsSubclass(instance_class, type);
                  if (!is_subclass) {
                      instance_class = NULL;
                  } else if (unlikely(is_subclass == -1)) {
                      goto bad;
                  } else {
                      type = instance_class;
                  }
              }
          }
          if (!instance_class) {
              PyObject *args;
              if (!value)
                  args = PyTuple_New(0);
              else if (PyTuple_Check(value)) {
                  Py_INCREF(value);
                  args = value;
              } else
                  args = PyTuple_Pack(1, value);
              if (!args)
                  goto bad;
              owned_instance = PyObject_Call(type, args, NULL);
              Py_DECREF(args);
              if (!owned_instance)
                  goto bad;
              value = owned_instance;
              if (!PyExceptionInstance_Check(value)) {
                  PyErr_Format(PyExc_TypeError,
                               "calling %R should have returned an instance of "
                               "BaseException, not %R",
                               type, Py_TYPE(value));
                  goto bad;
              }
          }
      } else {
          PyErr_SetString(PyExc_TypeError,
              "raise: exception class must be a subclass of BaseException");
          goto bad;
      }
      if (cause) {
          PyObject *fixed_cause;
          if (cause == Py_None) {
              fixed_cause = NULL;
          } else if (PyExceptionClass_Check(cause)) {
              fixed_cause = PyObject_CallObject(cause, NULL);
              if (fixed_cause == NULL)
                  goto bad;
          } else if (PyExceptionInstance_Check(cause)) {
              fixed_cause = cause;
              Py_INCREF(fixed_cause);
          } else {
              PyErr_SetString(PyExc_TypeError,
                              "exception causes must derive from "
                              "BaseException");
              goto bad;
          }
          PyException_SetCause(value, fixed_cause);
      }
      PyErr_SetObject(type, value);
      if (tb) {
  #if CYTHON_COMPILING_IN_PYPY
          PyObject *tmp_type, *tmp_value, *tmp_tb;
          PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
          Py_INCREF(tb);
          PyErr_Restore(tmp_type, tmp_value, tb);
          Py_XDECREF(tmp_tb);
  #else
          PyThreadState *tstate = __Pyx_PyThreadState_Current;
          PyObject* tmp_tb = tstate->curexc_traceback;
          if (tb != tmp_tb) {
              Py_INCREF(tb);
              tstate->curexc_traceback = tb;
              Py_XDECREF(tmp_tb);
          }
  #endif
      }
  bad:
      Py_XDECREF(owned_instance);
      return;
  }
  #endif
  
  /* PyDictVersioning */
  #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
  }
  static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
      PyObject **dictptr = NULL;
      Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
      if (offset) {
  #if CYTHON_COMPILING_IN_CPYTHON
          dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
  #else
          dictptr = _PyObject_GetDictPtr(obj);
  #endif
      }
      return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
  }
  static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
      PyObject *dict = Py_TYPE(obj)->tp_dict;
      if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
          return 0;
      return obj_dict_version == __Pyx_get_object_dict_version(obj);
  }
  #endif
  
  /* GetModuleGlobalName */
  #if CYTHON_USE_DICT_VERSIONS
  static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
  #else
  static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
  #endif
  {
      PyObject *result;
  #if !CYTHON_AVOID_BORROWED_REFS
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
      result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      } else if (unlikely(PyErr_Occurred())) {
          return NULL;
      }
  #else
      result = PyDict_GetItem(__pyx_d, name);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      }
  #endif
  #else
      result = PyObject_GetItem(__pyx_d, name);
      __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
      if (likely(result)) {
          return __Pyx_NewRef(result);
      }
      PyErr_Clear();
  #endif
      return __Pyx_GetBuiltinName(name);
  }
  
  /* PyObjectCall2Args */
  static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
      PyObject *args, *result = NULL;
      #if CYTHON_FAST_PYCALL
      if (PyFunction_Check(function)) {
          PyObject *args[2] = {arg1, arg2};
          return __Pyx_PyFunction_FastCall(function, args, 2);
      }
      #endif
      #if CYTHON_FAST_PYCCALL
      if (__Pyx_PyFastCFunction_Check(function)) {
          PyObject *args[2] = {arg1, arg2};
          return __Pyx_PyCFunction_FastCall(function, args, 2);
      }
      #endif
      args = PyTuple_New(2);
      if (unlikely(!args)) goto done;
      Py_INCREF(arg1);
      PyTuple_SET_ITEM(args, 0, arg1);
      Py_INCREF(arg2);
      PyTuple_SET_ITEM(args, 1, arg2);
      Py_INCREF(function);
      result = __Pyx_PyObject_Call(function, args, NULL);
      Py_DECREF(args);
      Py_DECREF(function);
  done:
      return result;
  }
  
  /* GetTopmostException */
  #if CYTHON_USE_EXC_INFO_STACK
  static _PyErr_StackItem *
  __Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
  {
      _PyErr_StackItem *exc_info = tstate->exc_info;
      while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
             exc_info->previous_item != NULL)
      {
          exc_info = exc_info->previous_item;
      }
      return exc_info;
  }
  #endif
  
  /* SaveResetException */
  #if CYTHON_FAST_THREAD_STATE
  static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
      #if CYTHON_USE_EXC_INFO_STACK
      _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
      *type = exc_info->exc_type;
      *value = exc_info->exc_value;
      *tb = exc_info->exc_traceback;
      #else
      *type = tstate->exc_type;
      *value = tstate->exc_value;
      *tb = tstate->exc_traceback;
      #endif
      Py_XINCREF(*type);
      Py_XINCREF(*value);
      Py_XINCREF(*tb);
  }
  static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      #if CYTHON_USE_EXC_INFO_STACK
      _PyErr_StackItem *exc_info = tstate->exc_info;
      tmp_type = exc_info->exc_type;
      tmp_value = exc_info->exc_value;
      tmp_tb = exc_info->exc_traceback;
      exc_info->exc_type = type;
      exc_info->exc_value = value;
      exc_info->exc_traceback = tb;
      #else
      tmp_type = tstate->exc_type;
      tmp_value = tstate->exc_value;
      tmp_tb = tstate->exc_traceback;
      tstate->exc_type = type;
      tstate->exc_value = value;
      tstate->exc_traceback = tb;
      #endif
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  }
  #endif
  
  /* GetException */
  #if CYTHON_FAST_THREAD_STATE
  static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
  #else
  static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
  #endif
  {
      PyObject *local_type, *local_value, *local_tb;
  #if CYTHON_FAST_THREAD_STATE
      PyObject *tmp_type, *tmp_value, *tmp_tb;
      local_type = tstate->curexc_type;
      local_value = tstate->curexc_value;
      local_tb = tstate->curexc_traceback;
      tstate->curexc_type = 0;
      tstate->curexc_value = 0;
      tstate->curexc_traceback = 0;
  #else
      PyErr_Fetch(&local_type, &local_value, &local_tb);
  #endif
      PyErr_NormalizeException(&local_type, &local_value, &local_tb);
  #if CYTHON_FAST_THREAD_STATE
      if (unlikely(tstate->curexc_type))
  #else
      if (unlikely(PyErr_Occurred()))
  #endif
          goto bad;
      #if PY_MAJOR_VERSION >= 3
      if (local_tb) {
          if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
              goto bad;
      }
      #endif
      Py_XINCREF(local_tb);
      Py_XINCREF(local_type);
      Py_XINCREF(local_value);
      *type = local_type;
      *value = local_value;
      *tb = local_tb;
  #if CYTHON_FAST_THREAD_STATE
      #if CYTHON_USE_EXC_INFO_STACK
      {
          _PyErr_StackItem *exc_info = tstate->exc_info;
          tmp_type = exc_info->exc_type;
          tmp_value = exc_info->exc_value;
          tmp_tb = exc_info->exc_traceback;
          exc_info->exc_type = local_type;
          exc_info->exc_value = local_value;
          exc_info->exc_traceback = local_tb;
      }
      #else
      tmp_type = tstate->exc_type;
      tmp_value = tstate->exc_value;
      tmp_tb = tstate->exc_traceback;
      tstate->exc_type = local_type;
      tstate->exc_value = local_value;
      tstate->exc_traceback = local_tb;
      #endif
      Py_XDECREF(tmp_type);
      Py_XDECREF(tmp_value);
      Py_XDECREF(tmp_tb);
  #else
      PyErr_SetExcInfo(local_type, local_value, local_tb);
  #endif
      return 0;
  bad:
      *type = 0;
      *value = 0;
      *tb = 0;
      Py_XDECREF(local_type);
      Py_XDECREF(local_value);
      Py_XDECREF(local_tb);
      return -1;
  }
  
  /* Import */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
      PyObject *empty_list = 0;
      PyObject *module = 0;
      PyObject *global_dict = 0;
      PyObject *empty_dict = 0;
      PyObject *list;
      #if PY_MAJOR_VERSION < 3
      PyObject *py_import;
      py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
      if (!py_import)
          goto bad;
      #endif
      if (from_list)
          list = from_list;
      else {
          empty_list = PyList_New(0);
          if (!empty_list)
              goto bad;
          list = empty_list;
      }
      global_dict = PyModule_GetDict(__pyx_m);
      if (!global_dict)
          goto bad;
      empty_dict = PyDict_New();
      if (!empty_dict)
          goto bad;
      {
          #if PY_MAJOR_VERSION >= 3
          if (level == -1) {
              if (strchr(__Pyx_MODULE_NAME, '.')) {
                  module = PyImport_ImportModuleLevelObject(
                      name, global_dict, empty_dict, list, 1);
                  if (!module) {
                      if (!PyErr_ExceptionMatches(PyExc_ImportError))
                          goto bad;
                      PyErr_Clear();
                  }
              }
              level = 0;
          }
          #endif
          if (!module) {
              #if PY_MAJOR_VERSION < 3
              PyObject *py_level = PyInt_FromLong(level);
              if (!py_level)
                  goto bad;
              module = PyObject_CallFunctionObjArgs(py_import,
                  name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
              Py_DECREF(py_level);
              #else
              module = PyImport_ImportModuleLevelObject(
                  name, global_dict, empty_dict, list, level);
              #endif
          }
      }
  bad:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(py_import);
      #endif
      Py_XDECREF(empty_list);
      Py_XDECREF(empty_dict);
      return module;
  }
  
  /* PyErrExceptionMatches */
  #if CYTHON_FAST_THREAD_STATE
  static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
      Py_ssize_t i, n;
      n = PyTuple_GET_SIZE(tuple);
  #if PY_MAJOR_VERSION >= 3
      for (i=0; i<n; i++) {
          if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
      }
  #endif
      for (i=0; i<n; i++) {
          if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
      }
      return 0;
  }
  static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
      PyObject *exc_type = tstate->curexc_type;
      if (exc_type == err) return 1;
      if (unlikely(!exc_type)) return 0;
      if (unlikely(PyTuple_Check(err)))
          return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
      return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
  }
  #endif
  
  /* PyIntCompare */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
      if (op1 == op2) {
          Py_RETURN_TRUE;
      }
      #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_CheckExact(op1))) {
          const long b = intval;
          long a = PyInt_AS_LONG(op1);
          if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
      }
      #endif
      #if CYTHON_USE_PYLONG_INTERNALS
      if (likely(PyLong_CheckExact(op1))) {
          int unequal;
          unsigned long uintval;
          Py_ssize_t size = Py_SIZE(op1);
          const digit* digits = ((PyLongObject*)op1)->ob_digit;
          if (intval == 0) {
              if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
          } else if (intval < 0) {
              if (size >= 0)
                  Py_RETURN_FALSE;
              intval = -intval;
              size = -size;
          } else {
              if (size <= 0)
                  Py_RETURN_FALSE;
          }
          uintval = (unsigned long) intval;
  #if PyLong_SHIFT * 4 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 4)) {
              unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
  #if PyLong_SHIFT * 3 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 3)) {
              unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
  #if PyLong_SHIFT * 2 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 2)) {
              unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
  #if PyLong_SHIFT * 1 < SIZEOF_LONG*8
          if (uintval >> (PyLong_SHIFT * 1)) {
              unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                   | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
          } else
  #endif
              unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
          if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
      }
      #endif
      if (PyFloat_CheckExact(op1)) {
          const long b = intval;
          double a = PyFloat_AS_DOUBLE(op1);
          if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
      }
      return (
          PyObject_RichCompare(op1, op2, Py_EQ));
  }
  
  /* PyNumberPow2 */
  static PyObject* __Pyx__PyNumber_PowerOf2(PyObject *two, PyObject *exp, PyObject *none, int inplace) {
  #if !CYTHON_COMPILING_IN_PYPY
      Py_ssize_t shiftby;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_CheckExact(exp))) {
          shiftby = PyInt_AS_LONG(exp);
      } else
  #endif
      if (likely(PyLong_CheckExact(exp))) {
          #if CYTHON_USE_PYLONG_INTERNALS
          const Py_ssize_t size = Py_SIZE(exp);
          if (likely(size == 1)) {
              shiftby = ((PyLongObject*)exp)->ob_digit[0];
          } else if (size == 0) {
              return PyInt_FromLong(1L);
          } else if (unlikely(size < 0)) {
              goto fallback;
          } else {
              shiftby = PyLong_AsSsize_t(exp);
          }
          #else
          shiftby = PyLong_AsSsize_t(exp);
          #endif
      } else {
          goto fallback;
      }
      if (likely(shiftby >= 0)) {
          if ((size_t)shiftby <= sizeof(long) * 8 - 2) {
              long value = 1L << shiftby;
              return PyInt_FromLong(value);
  #ifdef HAVE_LONG_LONG
          } else if ((size_t)shiftby <= sizeof(unsigned PY_LONG_LONG) * 8 - 1) {
              unsigned PY_LONG_LONG value = ((unsigned PY_LONG_LONG)1) << shiftby;
              return PyLong_FromUnsignedLongLong(value);
  #endif
          } else {
              PyObject *result, *one = PyInt_FromLong(1L);
              if (unlikely(!one)) return NULL;
              result = PyNumber_Lshift(one, exp);
              Py_DECREF(one);
              return result;
          }
      } else if (shiftby == -1 && PyErr_Occurred()) {
          PyErr_Clear();
      }
  fallback:
  #endif
      return (inplace ? PyNumber_InPlacePower : PyNumber_Power)(two, exp, none);
  }
  
  /* ExtTypeTest */
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
      if (unlikely(!type)) {
          PyErr_SetString(PyExc_SystemError, "Missing type object");
          return 0;
      }
      if (likely(__Pyx_TypeCheck(obj, type)))
          return 1;
      PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                   Py_TYPE(obj)->tp_name, type->tp_name);
      return 0;
  }
  
  /* None */
  static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
      PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
  }
  
  /* 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
  
  /* RaiseTooManyValuesToUnpack */
  static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
      PyErr_Format(PyExc_ValueError,
                   "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
  }
  
  /* RaiseNeedMoreValuesToUnpack */
  static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
      PyErr_Format(PyExc_ValueError,
                   "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                   index, (index == 1) ? "" : "s");
  }
  
  /* RaiseNoneIterError */
  static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
      PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
  }
  
  /* TypeImport */
  #ifndef __PYX_HAVE_RT_ImportType
  #define __PYX_HAVE_RT_ImportType
  static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
      size_t size, enum __Pyx_ImportType_CheckSize check_size)
  {
      PyObject *result = 0;
      char warning[200];
      Py_ssize_t basicsize;
  #ifdef Py_LIMITED_API
      PyObject *py_basicsize;
  #endif
      result = PyObject_GetAttrString(module, class_name);
      if (!result)
          goto bad;
      if (!PyType_Check(result)) {
          PyErr_Format(PyExc_TypeError,
              "%.200s.%.200s is not a type object",
              module_name, class_name);
          goto bad;
      }
  #ifndef Py_LIMITED_API
      basicsize = ((PyTypeObject *)result)->tp_basicsize;
  #else
      py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
      if (!py_basicsize)
          goto bad;
      basicsize = PyLong_AsSsize_t(py_basicsize);
      Py_DECREF(py_basicsize);
      py_basicsize = 0;
      if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
          goto bad;
  #endif
      if ((size_t)basicsize < size) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize);
          goto bad;
      }
      if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
          PyErr_Format(PyExc_ValueError,
              "%.200s.%.200s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize);
          goto bad;
      }
      else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
          PyOS_snprintf(warning, sizeof(warning),
              "%s.%s size changed, may indicate binary incompatibility. "
              "Expected %zd from C header, got %zd from PyObject",
              module_name, class_name, size, basicsize);
          if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
      }
      return (PyTypeObject *)result;
  bad:
      Py_XDECREF(result);
      return NULL;
  }
  #endif
  
  /* GetVTable */
  static void* __Pyx_GetVtable(PyObject *dict) {
      void* ptr;
      PyObject *ob = PyObject_GetItem(dict, __pyx_n_s_pyx_vtable);
      if (!ob)
          goto bad;
  #if PY_VERSION_HEX >= 0x02070000
      ptr = PyCapsule_GetPointer(ob, 0);
  #else
      ptr = PyCObject_AsVoidPtr(ob);
  #endif
      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;
  }
  
  /* ImportFrom */
  static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
      PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
      if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
          PyErr_Format(PyExc_ImportError,
          #if PY_MAJOR_VERSION < 3
              "cannot import name %.230s", PyString_AS_STRING(name));
          #else
              "cannot import name %S", name);
          #endif
      }
      return value;
  }
  
  /* CLineInTraceback */
  #ifndef CYTHON_CLINE_IN_TRACEBACK
  static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
      PyObject *use_cline;
      PyObject *ptype, *pvalue, *ptraceback;
  #if CYTHON_COMPILING_IN_CPYTHON
      PyObject **cython_runtime_dict;
  #endif
      if (unlikely(!__pyx_cython_runtime)) {
          return c_line;
      }
      __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
  #if CYTHON_COMPILING_IN_CPYTHON
      cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
      if (likely(cython_runtime_dict)) {
          __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
              use_cline, *cython_runtime_dict,
              __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
      } else
  #endif
      {
        PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
        if (use_cline_obj) {
          use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
          Py_DECREF(use_cline_obj);
        } else {
          PyErr_Clear();
          use_cline = NULL;
        }
      }
      if (!use_cline) {
          c_line = 0;
          PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
      }
      else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
          c_line = 0;
      }
      __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
      return c_line;
  }
  #endif
  
  /* CodeObjectCache */
  static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
      int start = 0, mid = 0, end = count - 1;
      if (end >= 0 && code_line > entries[end].code_line) {
          return count;
      }
      while (start < end) {
          mid = start + (end - start) / 2;
          if (code_line < entries[mid].code_line) {
              end = mid;
          } else if (code_line > entries[mid].code_line) {
               start = mid + 1;
          } else {
              return mid;
          }
      }
      if (code_line <= entries[mid].code_line) {
          return mid;
      } else {
          return mid + 1;
      }
  }
  static PyCodeObject *__pyx_find_code_object(int code_line) {
      PyCodeObject* code_object;
      int pos;
      if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
          return NULL;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
          return NULL;
      }
      code_object = __pyx_code_cache.entries[pos].code_object;
      Py_INCREF(code_object);
      return code_object;
  }
  static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
      int pos, i;
      __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
      if (unlikely(!code_line)) {
          return;
      }
      if (unlikely(!entries)) {
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
          if (likely(entries)) {
              __pyx_code_cache.entries = entries;
              __pyx_code_cache.max_count = 64;
              __pyx_code_cache.count = 1;
              entries[0].code_line = code_line;
              entries[0].code_object = code_object;
              Py_INCREF(code_object);
          }
          return;
      }
      pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
      if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
          PyCodeObject* tmp = entries[pos].code_object;
          entries[pos].code_object = code_object;
          Py_DECREF(tmp);
          return;
      }
      if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
          int new_max = __pyx_code_cache.max_count + 64;
          entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
              __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
          if (unlikely(!entries)) {
              return;
          }
          __pyx_code_cache.entries = entries;
          __pyx_code_cache.max_count = new_max;
      }
      for (i=__pyx_code_cache.count; i>pos; i--) {
          entries[i] = entries[i-1];
      }
      entries[pos].code_line = code_line;
      entries[pos].code_object = code_object;
      __pyx_code_cache.count++;
      Py_INCREF(code_object);
  }
  
  /* AddTraceback */
  #include "compile.h"
  #include "frameobject.h"
  #include "traceback.h"
  static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
              const char *funcname, int c_line,
              int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyObject *py_srcfile = 0;
      PyObject *py_funcname = 0;
      #if PY_MAJOR_VERSION < 3
      py_srcfile = PyString_FromString(filename);
      #else
      py_srcfile = PyUnicode_FromString(filename);
      #endif
      if (!py_srcfile) goto bad;
      if (c_line) {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #else
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          #endif
      }
      else {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromString(funcname);
          #else
          py_funcname = PyUnicode_FromString(funcname);
          #endif
      }
      if (!py_funcname) goto bad;
      py_code = __Pyx_PyCode_New(
          0,
          0,
          0,
          0,
          0,
          __pyx_empty_bytes, /*PyObject *code,*/
          __pyx_empty_tuple, /*PyObject *consts,*/
          __pyx_empty_tuple, /*PyObject *names,*/
          __pyx_empty_tuple, /*PyObject *varnames,*/
          __pyx_empty_tuple, /*PyObject *freevars,*/
          __pyx_empty_tuple, /*PyObject *cellvars,*/
          py_srcfile,   /*PyObject *filename,*/
          py_funcname,  /*PyObject *name,*/
          py_line,
          __pyx_empty_bytes  /*PyObject *lnotab*/
      );
      Py_DECREF(py_srcfile);
      Py_DECREF(py_funcname);
      return py_code;
  bad:
      Py_XDECREF(py_srcfile);
      Py_XDECREF(py_funcname);
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      if (c_line) {
          c_line = __Pyx_CLineForTraceback(tstate, c_line);
      }
      py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
      if (!py_code) {
          py_code = __Pyx_CreateCodeObjectForTraceback(
              funcname, c_line, py_line, filename);
          if (!py_code) goto bad;
          __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
      }
      py_frame = PyFrame_New(
          tstate,            /*PyThreadState *tstate,*/
          py_code,           /*PyCodeObject *code,*/
          __pyx_d,    /*PyObject *globals,*/
          0                  /*PyObject *locals*/
      );
      if (!py_frame) goto bad;
      __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
      PyTraceBack_Here(py_frame);
  bad:
      Py_XDECREF(py_code);
      Py_XDECREF(py_frame);
  }
  
  /* CIntFromPyVerify */
  #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
  #define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
      __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
  #define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
      {\
          func_type value = func_value;\
          if (sizeof(target_type) < sizeof(func_type)) {\
              if (unlikely(value != (func_type) (target_type) value)) {\
                  func_type zero = 0;\
                  if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                      return (target_type) -1;\
                  if (is_unsigned && unlikely(value < zero))\
                      goto raise_neg_overflow;\
                  else\
                      goto raise_overflow;\
              }\
          }\
          return (target_type) value;\
      }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_uint64_t(uint64_t value) {
      const uint64_t neg_one = (uint64_t) ((uint64_t) 0 - (uint64_t) 1), const_zero = (uint64_t) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(uint64_t) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(uint64_t) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(uint64_t) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(uint64_t) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(uint64_t) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(uint64_t),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
      const Py_intptr_t neg_one = (Py_intptr_t) ((Py_intptr_t) 0 - (Py_intptr_t) 1), const_zero = (Py_intptr_t) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(Py_intptr_t) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(Py_intptr_t) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int64_t(int64_t value) {
      const int64_t neg_one = (int64_t) ((int64_t) 0 - (int64_t) 1), const_zero = (int64_t) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(int64_t) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int64_t) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(int64_t) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int64_t) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(int64_t),
                                       little, !is_unsigned);
      }
  }
  
  /* Declarations */
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return ::std::complex< float >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        return x + y*(__pyx_t_float_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
        __pyx_t_float_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
  /* Arithmetic */
  #if CYTHON_CCOMPLEX
  #else
      static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          __pyx_t_float_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      #if 1
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          if (b.imag == 0) {
              return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else if (fabsf(b.real) >= fabsf(b.imag)) {
              if (b.real == 0 && b.imag == 0) {
                  return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
              } else {
                  float r = b.imag / b.real;
                  float s = (float)(1.0) / (b.real + b.imag * r);
                  return __pyx_t_float_complex_from_parts(
                      (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
              }
          } else {
              float r = b.real / b.imag;
              float s = (float)(1.0) / (b.imag + b.real * r);
              return __pyx_t_float_complex_from_parts(
                  (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
          }
      }
      #else
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
          if (b.imag == 0) {
              return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else {
              float denom = b.real * b.real + b.imag * b.imag;
              return __pyx_t_float_complex_from_parts(
                  (a.real * b.real + a.imag * b.imag) / denom,
                  (a.imag * b.real - a.real * b.imag) / denom);
          }
      }
      #endif
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
          __pyx_t_float_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrtf(z.real*z.real + z.imag*z.imag);
            #else
              return hypotf(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
              __pyx_t_float_complex z;
              float r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      float denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          return __Pyx_c_prod_float(a, a);
                      case 3:
                          z = __Pyx_c_prod_float(a, a);
                          return __Pyx_c_prod_float(z, a);
                      case 4:
                          z = __Pyx_c_prod_float(a, a);
                          return __Pyx_c_prod_float(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  } else if (b.imag == 0) {
                      z.real = powf(a.real, b.real);
                      z.imag = 0;
                      return z;
                  } else if (a.real > 0) {
                      r = a.real;
                      theta = 0;
                  } else {
                      r = -a.real;
                      theta = atan2f(0.0, -1.0);
                  }
              } else {
                  r = __Pyx_c_abs_float(a);
                  theta = atan2f(a.imag, a.real);
              }
              lnr = logf(r);
              z_r = expf(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cosf(z_theta);
              z.imag = z_r * sinf(z_theta);
              return z;
          }
      #endif
  #endif
  
  /* Declarations */
  #if CYTHON_CCOMPLEX
    #ifdef __cplusplus
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return ::std::complex< double >(x, y);
      }
    #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        return x + y*(__pyx_t_double_complex)_Complex_I;
      }
    #endif
  #else
      static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
        __pyx_t_double_complex z;
        z.real = x;
        z.imag = y;
        return z;
      }
  #endif
  
  /* Arithmetic */
  #if CYTHON_CCOMPLEX
  #else
      static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
         return (a.real == b.real) && (a.imag == b.imag);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real + b.real;
          z.imag = a.imag + b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real - b.real;
          z.imag = a.imag - b.imag;
          return z;
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          __pyx_t_double_complex z;
          z.real = a.real * b.real - a.imag * b.imag;
          z.imag = a.real * b.imag + a.imag * b.real;
          return z;
      }
      #if 1
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          if (b.imag == 0) {
              return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else if (fabs(b.real) >= fabs(b.imag)) {
              if (b.real == 0 && b.imag == 0) {
                  return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
              } else {
                  double r = b.imag / b.real;
                  double s = (double)(1.0) / (b.real + b.imag * r);
                  return __pyx_t_double_complex_from_parts(
                      (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
              }
          } else {
              double r = b.real / b.imag;
              double s = (double)(1.0) / (b.imag + b.real * r);
              return __pyx_t_double_complex_from_parts(
                  (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
          }
      }
      #else
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
          if (b.imag == 0) {
              return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
          } else {
              double denom = b.real * b.real + b.imag * b.imag;
              return __pyx_t_double_complex_from_parts(
                  (a.real * b.real + a.imag * b.imag) / denom,
                  (a.imag * b.real - a.real * b.imag) / denom);
          }
      }
      #endif
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real = -a.real;
          z.imag = -a.imag;
          return z;
      }
      static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
         return (a.real == 0) && (a.imag == 0);
      }
      static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
          __pyx_t_double_complex z;
          z.real =  a.real;
          z.imag = -a.imag;
          return z;
      }
      #if 1
          static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
            #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
              return sqrt(z.real*z.real + z.imag*z.imag);
            #else
              return hypot(z.real, z.imag);
            #endif
          }
          static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
              __pyx_t_double_complex z;
              double r, lnr, theta, z_r, z_theta;
              if (b.imag == 0 && b.real == (int)b.real) {
                  if (b.real < 0) {
                      double denom = a.real * a.real + a.imag * a.imag;
                      a.real = a.real / denom;
                      a.imag = -a.imag / denom;
                      b.real = -b.real;
                  }
                  switch ((int)b.real) {
                      case 0:
                          z.real = 1;
                          z.imag = 0;
                          return z;
                      case 1:
                          return a;
                      case 2:
                          return __Pyx_c_prod_double(a, a);
                      case 3:
                          z = __Pyx_c_prod_double(a, a);
                          return __Pyx_c_prod_double(z, a);
                      case 4:
                          z = __Pyx_c_prod_double(a, a);
                          return __Pyx_c_prod_double(z, z);
                  }
              }
              if (a.imag == 0) {
                  if (a.real == 0) {
                      return a;
                  } else if (b.imag == 0) {
                      z.real = pow(a.real, b.real);
                      z.imag = 0;
                      return z;
                  } else if (a.real > 0) {
                      r = a.real;
                      theta = 0;
                  } else {
                      r = -a.real;
                      theta = atan2(0.0, -1.0);
                  }
              } else {
                  r = __Pyx_c_abs_double(a);
                  theta = atan2(a.imag, a.real);
              }
              lnr = log(r);
              z_r = exp(lnr * b.real - theta * b.imag);
              z_theta = theta * b.real + lnr * b.imag;
              z.real = z_r * cos(z_theta);
              z.imag = z_r * sin(z_theta);
              return z;
          }
      #endif
  #endif
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
      const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(int) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(int) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(int),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
      const enum NPY_TYPES neg_one = (enum NPY_TYPES) ((enum NPY_TYPES) 0 - (enum NPY_TYPES) 1), const_zero = (enum NPY_TYPES) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(enum NPY_TYPES) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE uint64_t __Pyx_PyInt_As_uint64_t(PyObject *x) {
      const uint64_t neg_one = (uint64_t) ((uint64_t) 0 - (uint64_t) 1), const_zero = (uint64_t) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(uint64_t) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(uint64_t, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (uint64_t) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (uint64_t) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(uint64_t, digit, digits[0])
                  case 2:
                      if (8 * sizeof(uint64_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) >= 2 * PyLong_SHIFT) {
                              return (uint64_t) (((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(uint64_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) >= 3 * PyLong_SHIFT) {
                              return (uint64_t) (((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(uint64_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) >= 4 * PyLong_SHIFT) {
                              return (uint64_t) (((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (uint64_t) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(uint64_t) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(uint64_t, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(uint64_t) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(uint64_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (uint64_t) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(uint64_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(uint64_t,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(uint64_t) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT) {
                              return (uint64_t) (((uint64_t)-1)*(((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(uint64_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT) {
                              return (uint64_t) ((((((uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(uint64_t) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT) {
                              return (uint64_t) (((uint64_t)-1)*(((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(uint64_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT) {
                              return (uint64_t) ((((((((uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(uint64_t) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) - 1 > 4 * PyLong_SHIFT) {
                              return (uint64_t) (((uint64_t)-1)*(((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(uint64_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(uint64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(uint64_t) - 1 > 4 * PyLong_SHIFT) {
                              return (uint64_t) ((((((((((uint64_t)digits[3]) << PyLong_SHIFT) | (uint64_t)digits[2]) << PyLong_SHIFT) | (uint64_t)digits[1]) << PyLong_SHIFT) | (uint64_t)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(uint64_t) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(uint64_t, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(uint64_t) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(uint64_t, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              uint64_t val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (uint64_t) -1;
          }
      } else {
          uint64_t val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (uint64_t) -1;
          val = __Pyx_PyInt_As_uint64_t(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to uint64_t");
      return (uint64_t) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to uint64_t");
      return (uint64_t) -1;
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE Py_intptr_t __Pyx_PyInt_As_Py_intptr_t(PyObject *x) {
      const Py_intptr_t neg_one = (Py_intptr_t) ((Py_intptr_t) 0 - (Py_intptr_t) 1), const_zero = (Py_intptr_t) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(Py_intptr_t) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (Py_intptr_t) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (Py_intptr_t) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(Py_intptr_t, digit, digits[0])
                  case 2:
                      if (8 * sizeof(Py_intptr_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) >= 2 * PyLong_SHIFT) {
                              return (Py_intptr_t) (((((Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(Py_intptr_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) >= 3 * PyLong_SHIFT) {
                              return (Py_intptr_t) (((((((Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(Py_intptr_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) >= 4 * PyLong_SHIFT) {
                              return (Py_intptr_t) (((((((((Py_intptr_t)digits[3]) << PyLong_SHIFT) | (Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (Py_intptr_t) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (Py_intptr_t) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(Py_intptr_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(Py_intptr_t,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(Py_intptr_t) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) - 1 > 2 * PyLong_SHIFT) {
                              return (Py_intptr_t) (((Py_intptr_t)-1)*(((((Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(Py_intptr_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) - 1 > 2 * PyLong_SHIFT) {
                              return (Py_intptr_t) ((((((Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(Py_intptr_t) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) - 1 > 3 * PyLong_SHIFT) {
                              return (Py_intptr_t) (((Py_intptr_t)-1)*(((((((Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(Py_intptr_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) - 1 > 3 * PyLong_SHIFT) {
                              return (Py_intptr_t) ((((((((Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(Py_intptr_t) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) - 1 > 4 * PyLong_SHIFT) {
                              return (Py_intptr_t) (((Py_intptr_t)-1)*(((((((((Py_intptr_t)digits[3]) << PyLong_SHIFT) | (Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(Py_intptr_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(Py_intptr_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(Py_intptr_t) - 1 > 4 * PyLong_SHIFT) {
                              return (Py_intptr_t) ((((((((((Py_intptr_t)digits[3]) << PyLong_SHIFT) | (Py_intptr_t)digits[2]) << PyLong_SHIFT) | (Py_intptr_t)digits[1]) << PyLong_SHIFT) | (Py_intptr_t)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(Py_intptr_t) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(Py_intptr_t, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              Py_intptr_t val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (Py_intptr_t) -1;
          }
      } else {
          Py_intptr_t val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (Py_intptr_t) -1;
          val = __Pyx_PyInt_As_Py_intptr_t(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to Py_intptr_t");
      return (Py_intptr_t) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to Py_intptr_t");
      return (Py_intptr_t) -1;
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE int64_t __Pyx_PyInt_As_int64_t(PyObject *x) {
      const int64_t neg_one = (int64_t) ((int64_t) 0 - (int64_t) 1), const_zero = (int64_t) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(int64_t) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(int64_t, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (int64_t) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int64_t) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int64_t, digit, digits[0])
                  case 2:
                      if (8 * sizeof(int64_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) >= 2 * PyLong_SHIFT) {
                              return (int64_t) (((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int64_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) >= 3 * PyLong_SHIFT) {
                              return (int64_t) (((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int64_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) >= 4 * PyLong_SHIFT) {
                              return (int64_t) (((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (int64_t) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(int64_t) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int64_t) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(int64_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(int64_t,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(int64_t) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                              return (int64_t) (((int64_t)-1)*(((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(int64_t) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                              return (int64_t) ((((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                              return (int64_t) (((int64_t)-1)*(((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int64_t) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                              return (int64_t) ((((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) - 1 > 4 * PyLong_SHIFT) {
                              return (int64_t) (((int64_t)-1)*(((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int64_t) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int64_t) - 1 > 4 * PyLong_SHIFT) {
                              return (int64_t) ((((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(int64_t) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int64_t, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int64_t) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int64_t, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              int64_t val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (int64_t) -1;
          }
      } else {
          int64_t val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (int64_t) -1;
          val = __Pyx_PyInt_As_int64_t(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int64_t");
      return (int64_t) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int64_t");
      return (int64_t) -1;
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
      const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(int) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (int) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                              return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                              return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                              return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (int) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(int) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(int) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              int val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (int) -1;
          }
      } else {
          int val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (int) -1;
          val = __Pyx_PyInt_As_int(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int");
      return (int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int");
      return (int) -1;
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
      const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(long) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(long) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
      const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0;
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(long) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (long) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                              return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                              return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                              return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (long) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(long) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(long) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              long val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (long) -1;
          }
      } else {
          long val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (long) -1;
          val = __Pyx_PyInt_As_long(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to long");
      return (long) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to long");
      return (long) -1;
  }
  
  /* FastTypeChecks */
  #if CYTHON_COMPILING_IN_CPYTHON
  static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
      while (a) {
          a = a->tp_base;
          if (a == b)
              return 1;
      }
      return b == &PyBaseObject_Type;
  }
  static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
      PyObject *mro;
      if (a == b) return 1;
      mro = a->tp_mro;
      if (likely(mro)) {
          Py_ssize_t i, n;
          n = PyTuple_GET_SIZE(mro);
          for (i = 0; i < n; i++) {
              if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                  return 1;
          }
          return 0;
      }
      return __Pyx_InBases(a, b);
  }
  #if PY_MAJOR_VERSION == 2
  static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
      PyObject *exception, *value, *tb;
      int res;
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      __Pyx_ErrFetch(&exception, &value, &tb);
      res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
      if (unlikely(res == -1)) {
          PyErr_WriteUnraisable(err);
          res = 0;
      }
      if (!res) {
          res = PyObject_IsSubclass(err, exc_type2);
          if (unlikely(res == -1)) {
              PyErr_WriteUnraisable(err);
              res = 0;
          }
      }
      __Pyx_ErrRestore(exception, value, tb);
      return res;
  }
  #else
  static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
      int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
      if (!res) {
          res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
      }
      return res;
  }
  #endif
  static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
      Py_ssize_t i, n;
      assert(PyExceptionClass_Check(exc_type));
      n = PyTuple_GET_SIZE(tuple);
  #if PY_MAJOR_VERSION >= 3
      for (i=0; i<n; i++) {
          if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
      }
  #endif
      for (i=0; i<n; i++) {
          PyObject *t = PyTuple_GET_ITEM(tuple, i);
          #if PY_MAJOR_VERSION < 3
          if (likely(exc_type == t)) return 1;
          #endif
          if (likely(PyExceptionClass_Check(t))) {
              if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
          } else {
          }
      }
      return 0;
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
      if (likely(err == exc_type)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          if (likely(PyExceptionClass_Check(exc_type))) {
              return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
          } else if (likely(PyTuple_Check(exc_type))) {
              return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
          } else {
          }
      }
      return PyErr_GivenExceptionMatches(err, exc_type);
  }
  static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
      assert(PyExceptionClass_Check(exc_type1));
      assert(PyExceptionClass_Check(exc_type2));
      if (likely(err == exc_type1 || err == exc_type2)) return 1;
      if (likely(PyExceptionClass_Check(err))) {
          return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
      }
      return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
  }
  #endif
  
  /* CheckBinaryVersion */
  static int __Pyx_check_binary_version(void) {
      char ctversion[4], rtversion[4];
      PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
      PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
      if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
          char message[200];
          PyOS_snprintf(message, sizeof(message),
                        "compiletime version %s of module '%.100s' "
                        "does not match runtime version %s",
                        ctversion, __Pyx_MODULE_NAME, rtversion);
          return PyErr_WarnEx(NULL, message, 1);
      }
      return 0;
  }
  
  /* PyObjectSetAttrStr */
  #if CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
      PyTypeObject* tp = Py_TYPE(obj);
      if (likely(tp->tp_setattro))
          return tp->tp_setattro(obj, attr_name, value);
  #if PY_MAJOR_VERSION < 3
      if (likely(tp->tp_setattr))
          return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
  #endif
      return PyObject_SetAttr(obj, attr_name, value);
  }
  #endif
  
  /* VoidPtrExport */
  static int __Pyx_ExportVoidPtr(PyObject *name, void *p, const char *sig) {
      PyObject *d;
      PyObject *cobj = 0;
      d = PyDict_GetItem(__pyx_d, __pyx_n_s_pyx_capi);
      Py_XINCREF(d);
      if (!d) {
          d = PyDict_New();
          if (!d)
              goto bad;
          if (__Pyx_PyObject_SetAttrStr(__pyx_m, __pyx_n_s_pyx_capi, d) < 0)
              goto bad;
      }
  #if PY_VERSION_HEX >= 0x02070000
      cobj = PyCapsule_New(p, sig, 0);
  #else
      cobj = PyCObject_FromVoidPtrAndDesc(p, (void *)sig, 0);
  #endif
      if (!cobj)
          goto bad;
      if (PyDict_SetItem(d, name, cobj) < 0)
          goto bad;
      Py_DECREF(cobj);
      Py_DECREF(d);
      return 0;
  bad:
      Py_XDECREF(cobj);
      Py_XDECREF(d);
      return -1;
  }
  
  /* FunctionExport */
  static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig) {
      PyObject *d = 0;
      PyObject *cobj = 0;
      union {
          void (*fp)(void);
          void *p;
      } tmp;
      d = PyObject_GetAttrString(__pyx_m, (char *)"__pyx_capi__");
      if (!d) {
          PyErr_Clear();
          d = PyDict_New();
          if (!d)
              goto bad;
          Py_INCREF(d);
          if (PyModule_AddObject(__pyx_m, (char *)"__pyx_capi__", d) < 0)
              goto bad;
      }
      tmp.fp = f;
  #if PY_VERSION_HEX >= 0x02070000
      cobj = PyCapsule_New(tmp.p, sig, 0);
  #else
      cobj = PyCObject_FromVoidPtrAndDesc(tmp.p, (void *)sig, 0);
  #endif
      if (!cobj)
          goto bad;
      if (PyDict_SetItemString(d, name, cobj) < 0)
          goto bad;
      Py_DECREF(cobj);
      Py_DECREF(d);
      return 0;
  bad:
      Py_XDECREF(cobj);
      Py_XDECREF(d);
      return -1;
  }
  
  /* InitStrings */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          if (t->is_unicode) {
              *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
          } else if (t->intern) {
              *t->p = PyString_InternFromString(t->s);
          } else {
              *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
          }
          #else
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          if (PyObject_Hash(*t->p) == -1)
              return -1;
          ++t;
      }
      return 0;
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
      return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
  }
  static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
      Py_ssize_t ignore;
      return __Pyx_PyObject_AsStringAndSize(o, &ignore);
  }
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  #if !CYTHON_PEP393_ENABLED
  static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      char* defenc_c;
      PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
      if (!defenc) return NULL;
      defenc_c = PyBytes_AS_STRING(defenc);
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
      {
          char* end = defenc_c + PyBytes_GET_SIZE(defenc);
          char* c;
          for (c = defenc_c; c < end; c++) {
              if ((unsigned char) (*c) >= 128) {
                  PyUnicode_AsASCIIString(o);
                  return NULL;
              }
          }
      }
  #endif
      *length = PyBytes_GET_SIZE(defenc);
      return defenc_c;
  }
  #else
  static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
      if (likely(PyUnicode_IS_ASCII(o))) {
          *length = PyUnicode_GET_LENGTH(o);
          return PyUnicode_AsUTF8(o);
      } else {
          PyUnicode_AsASCIIString(o);
          return NULL;
      }
  #else
      return PyUnicode_AsUTF8AndSize(o, length);
  #endif
  }
  #endif
  #endif
  static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
      if (
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
              __Pyx_sys_getdefaultencoding_not_ascii &&
  #endif
              PyUnicode_Check(o)) {
          return __Pyx_PyUnicode_AsStringAndSize(o, length);
      } else
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
      if (PyByteArray_Check(o)) {
          *length = PyByteArray_GET_SIZE(o);
          return PyByteArray_AS_STRING(o);
      } else
  #endif
      {
          char* result;
          int r = PyBytes_AsStringAndSize(o, &result, length);
          if (unlikely(r < 0)) {
              return NULL;
          } else {
              return result;
          }
      }
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
     int is_true = x == Py_True;
     if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
     else return PyObject_IsTrue(x);
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
      int retval;
      if (unlikely(!x)) return -1;
      retval = __Pyx_PyObject_IsTrue(x);
      Py_DECREF(x);
      return retval;
  }
  static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
  #if PY_MAJOR_VERSION >= 3
      if (PyLong_Check(result)) {
          if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                  "__int__ returned non-int (type %.200s).  "
                  "The ability to return an instance of a strict subclass of int "
                  "is deprecated, and may be removed in a future version of Python.",
                  Py_TYPE(result)->tp_name)) {
              Py_DECREF(result);
              return NULL;
          }
          return result;
      }
  #endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   type_name, type_name, Py_TYPE(result)->tp_name);
      Py_DECREF(result);
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
  #if CYTHON_USE_TYPE_SLOTS
    PyNumberMethods *m;
  #endif
    const char *name = NULL;
    PyObject *res = NULL;
  #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x) || PyLong_Check(x)))
  #else
    if (likely(PyLong_Check(x)))
  #endif
      return __Pyx_NewRef(x);
  #if CYTHON_USE_TYPE_SLOTS
    m = Py_TYPE(x)->tp_as_number;
    #if PY_MAJOR_VERSION < 3
    if (m && m->nb_int) {
      name = "int";
      res = m->nb_int(x);
    }
    else if (m && m->nb_long) {
      name = "long";
      res = m->nb_long(x);
    }
    #else
    if (likely(m && m->nb_int)) {
      name = "int";
      res = m->nb_int(x);
    }
    #endif
  #else
    if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
      res = PyNumber_Int(x);
    }
  #endif
    if (likely(res)) {
  #if PY_MAJOR_VERSION < 3
      if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
  #else
      if (unlikely(!PyLong_CheckExact(res))) {
  #endif
          return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
      }
    }
    else if (!PyErr_Occurred()) {
      PyErr_SetString(PyExc_TypeError,
                      "an integer is required");
    }
    return res;
  }
  static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
    Py_ssize_t ival;
    PyObject *x;
  #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(b))) {
      if (sizeof(Py_ssize_t) >= sizeof(long))
          return PyInt_AS_LONG(b);
      else
          return PyInt_AsSsize_t(b);
    }
  #endif
    if (likely(PyLong_CheckExact(b))) {
      #if CYTHON_USE_PYLONG_INTERNALS
      const digit* digits = ((PyLongObject*)b)->ob_digit;
      const Py_ssize_t size = Py_SIZE(b);
      if (likely(__Pyx_sst_abs(size) <= 1)) {
          ival = likely(size) ? digits[0] : 0;
          if (size == -1) ival = -ival;
          return ival;
      } else {
        switch (size) {
           case 2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -2:
             if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -3:
             if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case 4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
           case -4:
             if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
               return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
             }
             break;
        }
      }
      #endif
      return PyLong_AsSsize_t(b);
    }
    x = PyNumber_Index(b);
    if (!x) return -1;
    ival = PyInt_AsSsize_t(x);
    Py_DECREF(x);
    return ival;
  }
  static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
    return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
  }
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
      return PyInt_FromSize_t(ival);
  }
  
  
  #endif /* Py_PYTHON_H */
  