text: /* Generated by Cython 0.29.25 */
  
  #ifndef PY_SSIZE_T_CLEAN
  #define PY_SSIZE_T_CLEAN
  #endif /* PY_SSIZE_T_CLEAN */
  #include "Python.h"
  #ifndef Py_PYTHON_H
      #error Python headers needed to compile C extensions, please install development version of Python.
  #elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
      #error Cython requires Python 2.6+ or Python 3.3+.
  #else
  #define CYTHON_ABI "0_29_25"
  #define CYTHON_HEX_VERSION 0x001D19F0
  #define CYTHON_FUTURE_DIVISION 0
  #include <stddef.h>
  #ifndef offsetof
    #define offsetof(type, member) ( (size_t) & ((type*)0) -> member )
  #endif
  #if !defined(WIN32) && !defined(MS_WINDOWS)
    #ifndef __stdcall
      #define __stdcall
    #endif
    #ifndef __cdecl
      #define __cdecl
    #endif
    #ifndef __fastcall
      #define __fastcall
    #endif
  #endif
  #ifndef DL_IMPORT
    #define DL_IMPORT(t) t
  #endif
  #ifndef DL_EXPORT
    #define DL_EXPORT(t) t
  #endif
  #define __PYX_COMMA ,
  #ifndef HAVE_LONG_LONG
    #if PY_VERSION_HEX >= 0x02070000
      #define HAVE_LONG_LONG
    #endif
  #endif
  #ifndef PY_LONG_LONG
    #define PY_LONG_LONG LONG_LONG
  #endif
  #ifndef Py_HUGE_VAL
    #define Py_HUGE_VAL HUGE_VAL
  #endif
  #ifdef PYPY_VERSION
    #define CYTHON_COMPILING_IN_PYPY 1
    #define CYTHON_COMPILING_IN_PYSTON 0
    #define CYTHON_COMPILING_IN_CPYTHON 0
    #undef CYTHON_USE_TYPE_SLOTS
    #define CYTHON_USE_TYPE_SLOTS 0
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
    #if PY_VERSION_HEX < 0x03050000
      #undef CYTHON_USE_ASYNC_SLOTS
      #define CYTHON_USE_ASYNC_SLOTS 0
    #elif !defined(CYTHON_USE_ASYNC_SLOTS)
      #define CYTHON_USE_ASYNC_SLOTS 1
    #endif
    #undef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 0
    #undef CYTHON_USE_UNICODE_INTERNALS
    #define CYTHON_USE_UNICODE_INTERNALS 0
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
    #undef CYTHON_AVOID_BORROWED_REFS
    #define CYTHON_AVOID_BORROWED_REFS 1
    #undef CYTHON_ASSUME_SAFE_MACROS
    #define CYTHON_ASSUME_SAFE_MACROS 0
    #undef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 0
    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
    #undef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 0
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #elif defined(PYSTON_VERSION)
    #define CYTHON_COMPILING_IN_PYPY 0
    #define CYTHON_COMPILING_IN_PYSTON 1
    #define CYTHON_COMPILING_IN_CPYTHON 0
    #ifndef CYTHON_USE_TYPE_SLOTS
      #define CYTHON_USE_TYPE_SLOTS 1
    #endif
    #undef CYTHON_USE_PYTYPE_LOOKUP
    #define CYTHON_USE_PYTYPE_LOOKUP 0
    #undef CYTHON_USE_ASYNC_SLOTS
    #define CYTHON_USE_ASYNC_SLOTS 0
    #undef CYTHON_USE_PYLIST_INTERNALS
    #define CYTHON_USE_PYLIST_INTERNALS 0
    #ifndef CYTHON_USE_UNICODE_INTERNALS
      #define CYTHON_USE_UNICODE_INTERNALS 1
    #endif
    #undef CYTHON_USE_UNICODE_WRITER
    #define CYTHON_USE_UNICODE_WRITER 0
    #undef CYTHON_USE_PYLONG_INTERNALS
    #define CYTHON_USE_PYLONG_INTERNALS 0
    #ifndef CYTHON_AVOID_BORROWED_REFS
      #define CYTHON_AVOID_BORROWED_REFS 0
    #endif
    #ifndef CYTHON_ASSUME_SAFE_MACROS
      #define CYTHON_ASSUME_SAFE_MACROS 1
    #endif
    #ifndef CYTHON_UNPACK_METHODS
      #define CYTHON_UNPACK_METHODS 1
    #endif
    #undef CYTHON_FAST_THREAD_STATE
    #define CYTHON_FAST_THREAD_STATE 0
    #undef CYTHON_FAST_PYCALL
    #define CYTHON_FAST_PYCALL 0
    #undef CYTHON_PEP489_MULTI_PHASE_INIT
    #define CYTHON_PEP489_MULTI_PHASE_INIT 0
    #undef CYTHON_USE_TP_FINALIZE
    #define CYTHON_USE_TP_FINALIZE 0
    #undef CYTHON_USE_DICT_VERSIONS
    #define CYTHON_USE_DICT_VERSIONS 0
    #undef CYTHON_USE_EXC_INFO_STACK
    #define CYTHON_USE_EXC_INFO_STACK 0
  #else
    #define CYTHON_COMPILING_IN_PYPY 0
    #define CYTHON_COMPILING_IN_PYSTON 0
    #define CYTHON_COMPILING_IN_CPYTHON 1
    #ifndef CYTHON_USE_TYPE_SLOTS
      #define CYTHON_USE_TYPE_SLOTS 1
    #endif
    #if PY_VERSION_HEX < 0x02070000
      #undef CYTHON_USE_PYTYPE_LOOKUP
      #define CYTHON_USE_PYTYPE_LOOKUP 0
    #elif !defined(CYTHON_USE_PYTYPE_LOOKUP)
      #define CYTHON_USE_PYTYPE_LOOKUP 1
    #endif
    #if PY_MAJOR_VERSION < 3
      #undef CYTHON_USE_ASYNC_SLOTS
      #define CYTHON_USE_ASYNC_SLOTS 0
    #elif !defined(CYTHON_USE_ASYNC_SLOTS)
      #define CYTHON_USE_ASYNC_SLOTS 1
    #endif
    #if PY_VERSION_HEX < 0x02070000
      #undef CYTHON_USE_PYLONG_INTERNALS
      #define CYTHON_USE_PYLONG_INTERNALS 0
    #elif !defined(CYTHON_USE_PYLONG_INTERNALS)
      #define CYTHON_USE_PYLONG_INTERNALS 1
    #endif
    #ifndef CYTHON_USE_PYLIST_INTERNALS
      #define CYTHON_USE_PYLIST_INTERNALS 1
    #endif
    #ifndef CYTHON_USE_UNICODE_INTERNALS
      #define CYTHON_USE_UNICODE_INTERNALS 1
    #endif
    #if PY_VERSION_HEX < 0x030300F0 || PY_VERSION_HEX >= 0x030B00A2
      #undef CYTHON_USE_UNICODE_WRITER
      #define CYTHON_USE_UNICODE_WRITER 0
    #elif !defined(CYTHON_USE_UNICODE_WRITER)
      #define CYTHON_USE_UNICODE_WRITER 1
    #endif
    #ifndef CYTHON_AVOID_BORROWED_REFS
      #define CYTHON_AVOID_BORROWED_REFS 0
    #endif
    #ifndef CYTHON_ASSUME_SAFE_MACROS
      #define CYTHON_ASSUME_SAFE_MACROS 1
    #endif
    #ifndef CYTHON_UNPACK_METHODS
      #define CYTHON_UNPACK_METHODS 1
    #endif
    #ifndef CYTHON_FAST_THREAD_STATE
      #define CYTHON_FAST_THREAD_STATE 1
    #endif
    #ifndef CYTHON_FAST_PYCALL
      #define CYTHON_FAST_PYCALL (PY_VERSION_HEX < 0x030B00A1)
    #endif
    #ifndef CYTHON_PEP489_MULTI_PHASE_INIT
      #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000)
    #endif
    #ifndef CYTHON_USE_TP_FINALIZE
      #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1)
    #endif
    #ifndef CYTHON_USE_DICT_VERSIONS
      #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1)
    #endif
    #ifndef CYTHON_USE_EXC_INFO_STACK
      #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3)
    #endif
  #endif
  #if !defined(CYTHON_FAST_PYCCALL)
  #define CYTHON_FAST_PYCCALL  (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1)
  #endif
  #if CYTHON_USE_PYLONG_INTERNALS
    #if PY_MAJOR_VERSION < 3
      #include "longintrepr.h"
    #endif
    #undef SHIFT
    #undef BASE
    #undef MASK
    #ifdef SIZEOF_VOID_P
      enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) };
    #endif
  #endif
  #ifndef __has_attribute
    #define __has_attribute(x) 0
  #endif
  #ifndef __has_cpp_attribute
    #define __has_cpp_attribute(x) 0
  #endif
  #ifndef CYTHON_RESTRICT
    #if defined(__GNUC__)
      #define CYTHON_RESTRICT __restrict__
    #elif defined(_MSC_VER) && _MSC_VER >= 1400
      #define CYTHON_RESTRICT __restrict
    #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
      #define CYTHON_RESTRICT restrict
    #else
      #define CYTHON_RESTRICT
    #endif
  #endif
  #ifndef CYTHON_UNUSED
  # if defined(__GNUC__)
  #   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
  #     define CYTHON_UNUSED __attribute__ ((__unused__))
  #   else
  #     define CYTHON_UNUSED
  #   endif
  # elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
  #   define CYTHON_UNUSED __attribute__ ((__unused__))
  # else
  #   define CYTHON_UNUSED
  # endif
  #endif
  #ifndef CYTHON_MAYBE_UNUSED_VAR
  #  if defined(__cplusplus)
       template<class T> void CYTHON_MAYBE_UNUSED_VAR( const T& ) { }
  #  else
  #    define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x)
  #  endif
  #endif
  #ifndef CYTHON_NCP_UNUSED
  # if CYTHON_COMPILING_IN_CPYTHON
  #  define CYTHON_NCP_UNUSED
  # else
  #  define CYTHON_NCP_UNUSED CYTHON_UNUSED
  # endif
  #endif
  #define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)
  #ifdef _MSC_VER
      #ifndef _MSC_STDINT_H_
          #if _MSC_VER < 1300
             typedef unsigned char     uint8_t;
             typedef unsigned int      uint32_t;
          #else
             typedef unsigned __int8   uint8_t;
             typedef unsigned __int32  uint32_t;
          #endif
      #endif
  #else
     #include <stdint.h>
  #endif
  #ifndef CYTHON_FALLTHROUGH
    #if defined(__cplusplus) && __cplusplus >= 201103L
      #if __has_cpp_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH [[fallthrough]]
      #elif __has_cpp_attribute(clang::fallthrough)
        #define CYTHON_FALLTHROUGH [[clang::fallthrough]]
      #elif __has_cpp_attribute(gnu::fallthrough)
        #define CYTHON_FALLTHROUGH [[gnu::fallthrough]]
      #endif
    #endif
    #ifndef CYTHON_FALLTHROUGH
      #if __has_attribute(fallthrough)
        #define CYTHON_FALLTHROUGH __attribute__((fallthrough))
      #else
        #define CYTHON_FALLTHROUGH
      #endif
    #endif
    #if defined(__clang__ ) && defined(__apple_build_version__)
      #if __apple_build_version__ < 7000000
        #undef  CYTHON_FALLTHROUGH
        #define CYTHON_FALLTHROUGH
      #endif
    #endif
  #endif
  
  #ifndef CYTHON_INLINE
    #if defined(__clang__)
      #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
    #elif defined(__GNUC__)
      #define CYTHON_INLINE __inline__
    #elif defined(_MSC_VER)
      #define CYTHON_INLINE __inline
    #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
      #define CYTHON_INLINE inline
    #else
      #define CYTHON_INLINE
    #endif
  #endif
  
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
    #define Py_OptimizeFlag 0
  #endif
  #define __PYX_BUILD_PY_SSIZE_T "n"
  #define CYTHON_FORMAT_SSIZE_T "z"
  #if PY_MAJOR_VERSION < 3
    #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
    #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
    #define __Pyx_DefaultClassType PyClass_Type
  #else
    #define __Pyx_BUILTIN_MODULE_NAME "builtins"
    #define __Pyx_DefaultClassType PyType_Type
  #if PY_VERSION_HEX >= 0x030B00A1
      static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int k, int l, int s, int f,
                                                      PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                      PyObject *fv, PyObject *cell, PyObject* fn,
                                                      PyObject *name, int fline, PyObject *lnos) {
          PyObject *kwds=NULL, *argcount=NULL, *posonlyargcount=NULL, *kwonlyargcount=NULL;
          PyObject *nlocals=NULL, *stacksize=NULL, *flags=NULL, *replace=NULL, *call_result=NULL, *empty=NULL;
          const char *fn_cstr=NULL;
          const char *name_cstr=NULL;
          PyCodeObject* co=NULL;
          PyObject *type, *value, *traceback;
          PyErr_Fetch(&type, &value, &traceback);
          if (!(kwds=PyDict_New())) goto end;
          if (!(argcount=PyLong_FromLong(a))) goto end;
          if (PyDict_SetItemString(kwds, "co_argcount", argcount) != 0) goto end;
          if (!(posonlyargcount=PyLong_FromLong(0))) goto end;
          if (PyDict_SetItemString(kwds, "co_posonlyargcount", posonlyargcount) != 0) goto end;
          if (!(kwonlyargcount=PyLong_FromLong(k))) goto end;
          if (PyDict_SetItemString(kwds, "co_kwonlyargcount", kwonlyargcount) != 0) goto end;
          if (!(nlocals=PyLong_FromLong(l))) goto end;
          if (PyDict_SetItemString(kwds, "co_nlocals", nlocals) != 0) goto end;
          if (!(stacksize=PyLong_FromLong(s))) goto end;
          if (PyDict_SetItemString(kwds, "co_stacksize", stacksize) != 0) goto end;
          if (!(flags=PyLong_FromLong(f))) goto end;
          if (PyDict_SetItemString(kwds, "co_flags", flags) != 0) goto end;
          if (PyDict_SetItemString(kwds, "co_code", code) != 0) goto end;
          if (PyDict_SetItemString(kwds, "co_consts", c) != 0) goto end;
          if (PyDict_SetItemString(kwds, "co_names", n) != 0) goto end;
          if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
          if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
          if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
          if (PyDict_SetItemString(kwds, "co_linetable", lnos) != 0) goto end;
          if (!(fn_cstr=PyUnicode_AsUTF8AndSize(fn, NULL))) goto end;
          if (!(name_cstr=PyUnicode_AsUTF8AndSize(name, NULL))) goto end;
          if (!(co = PyCode_NewEmpty(fn_cstr, name_cstr, fline))) goto end;
          if (!(replace = PyObject_GetAttrString((PyObject*)co, "replace"))) goto cleanup_code_too;
          if (!(empty = PyTuple_New(0))) goto cleanup_code_too; // unfortunately __pyx_empty_tuple isn't available here
          if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
          Py_XDECREF((PyObject*)co);
          co = (PyCodeObject*)call_result;
          call_result = NULL;
          if (0) {
              cleanup_code_too:
              Py_XDECREF((PyObject*)co);
              co = NULL;
          }
          end:
          Py_XDECREF(kwds);
          Py_XDECREF(argcount);
          Py_XDECREF(posonlyargcount);
          Py_XDECREF(kwonlyargcount);
          Py_XDECREF(nlocals);
          Py_XDECREF(stacksize);
          Py_XDECREF(replace);
          Py_XDECREF(call_result);
          Py_XDECREF(empty);
          if (type) {
              PyErr_Restore(type, value, traceback);
          }
          return co;
      }
  #else
    #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
            PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
  #endif
    #define __Pyx_DefaultClassType PyType_Type
  #endif
  #ifndef Py_TPFLAGS_CHECKTYPES
    #define Py_TPFLAGS_CHECKTYPES 0
  #endif
  #ifndef Py_TPFLAGS_HAVE_INDEX
    #define Py_TPFLAGS_HAVE_INDEX 0
  #endif
  #ifndef Py_TPFLAGS_HAVE_NEWBUFFER
    #define Py_TPFLAGS_HAVE_NEWBUFFER 0
  #endif
  #ifndef Py_TPFLAGS_HAVE_FINALIZE
    #define Py_TPFLAGS_HAVE_FINALIZE 0
  #endif
  #ifndef METH_STACKLESS
    #define METH_STACKLESS 0
  #endif
  #if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
    #ifndef METH_FASTCALL
       #define METH_FASTCALL 0x80
    #endif
    typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
    typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                            Py_ssize_t nargs, PyObject *kwnames);
  #else
    #define __Pyx_PyCFunctionFast _PyCFunctionFast
    #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
  #endif
  #if CYTHON_FAST_PYCCALL
  #define __Pyx_PyFastCFunction_Check(func)\
      ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)))))
  #else
  #define __Pyx_PyFastCFunction_Check(func) 0
  #endif
  #if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
    #define PyObject_Malloc(s)   PyMem_Malloc(s)
    #define PyObject_Free(p)     PyMem_Free(p)
    #define PyObject_Realloc(p)  PyMem_Realloc(p)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
    #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
    #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
    #define PyMem_RawFree(p)             PyMem_Free(p)
  #endif
  #if CYTHON_COMPILING_IN_PYSTON
    #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
  #else
    #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
    #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
  #endif
  #if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
    #define __Pyx_PyThreadState_Current PyThreadState_GET()
  #elif PY_VERSION_HEX >= 0x03060000
    #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
  #elif PY_VERSION_HEX >= 0x03000000
    #define __Pyx_PyThreadState_Current PyThreadState_GET()
  #else
    #define __Pyx_PyThreadState_Current _PyThreadState_Current
  #endif
  #if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
  #include "pythread.h"
  #define Py_tss_NEEDS_INIT 0
  typedef int Py_tss_t;
  static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
    *key = PyThread_create_key();
    return 0;
  }
  static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
    Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
    *key = Py_tss_NEEDS_INIT;
    return key;
  }
  static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
    PyObject_Free(key);
  }
  static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
    return *key != Py_tss_NEEDS_INIT;
  }
  static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
    PyThread_delete_key(*key);
    *key = Py_tss_NEEDS_INIT;
  }
  static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
    return PyThread_set_key_value(*key, value);
  }
  static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
    return PyThread_get_key_value(*key);
  }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
  #define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
  #else
  #define __Pyx_PyDict_NewPresized(n)  PyDict_New()
  #endif
  #if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
    #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
  #else
    #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
    #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
  #define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
  #else
  #define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
  #endif
  #if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
    #define CYTHON_PEP393_ENABLED 1
    #if defined(PyUnicode_IS_READY)
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
    #else
    #define __Pyx_PyUnicode_READY(op)       (0)
    #endif
    #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
    #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
    #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
    #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
    #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
    #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
    #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
    #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
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    #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
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    #define PyIntObject                  PyLongObject
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    #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)
    #endif
  #endif
  #if PY_VERSION_HEX < 0x030200A4
    typedef long Py_hash_t;
    #define __Pyx_PyInt_FromHash_t PyInt_FromLong
    #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
  #else
    #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
    #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
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  #if PY_MAJOR_VERSION >= 3
    #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
  #else
    #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
  #endif
  #if CYTHON_USE_ASYNC_SLOTS
    #if PY_VERSION_HEX >= 0x030500B1
      #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
      #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
    #else
      #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
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  #else
    #define __Pyx_PyType_AsAsync(obj) NULL
  #endif
  #ifndef __Pyx_PyAsyncMethodsStruct
      typedef struct {
          unaryfunc am_await;
          unaryfunc am_aiter;
          unaryfunc am_anext;
      } __Pyx_PyAsyncMethodsStruct;
  #endif
  
  #if defined(WIN32) || defined(MS_WINDOWS)
    #define _USE_MATH_DEFINES
  #endif
  #include <math.h>
  #ifdef NAN
  #define __PYX_NAN() ((float) NAN)
  #else
  static CYTHON_INLINE float __PYX_NAN() {
    float value;
    memset(&value, 0xFF, sizeof(value));
    return value;
  }
  #endif
  #if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
  #define __Pyx_truncl trunc
  #else
  #define __Pyx_truncl truncl
  #endif
  
  #define __PYX_MARK_ERR_POS(f_index, lineno) \
      { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
  #define __PYX_ERR(f_index, lineno, Ln_error) \
      { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }
  
  #ifndef __PYX_EXTERN_C
    #ifdef __cplusplus
      #define __PYX_EXTERN_C extern "C"
    #else
      #define __PYX_EXTERN_C extern
    #endif
  #endif
  
  #define __PYX_HAVE__splikes__neurons__poisson_julijana
  #define __PYX_HAVE_API__splikes__neurons__poisson_julijana
  /* Early includes */
  #include <string.h>
  #include <stdio.h>
  #include "numpy/arrayobject.h"
  #include "numpy/ndarrayobject.h"
  #include "numpy/ndarraytypes.h"
  #include "numpy/arrayscalars.h"
  #include "numpy/ufuncobject.h"
  
      /* NumPy API declarations from "numpy/__init__.pxd" */
      
  #include "math.h"
  #include "randomkit.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);
  static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
  #if CYTHON_ASSUME_SAFE_MACROS
  #define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
  #else
  #define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
  #endif
  #define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
  #if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
  #else
  #define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
  #endif
  #define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
  static int __Pyx_sys_getdefaultencoding_not_ascii;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      PyObject* ascii_chars_u = NULL;
      PyObject* ascii_chars_b = NULL;
      const char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      if (strcmp(default_encoding_c, "ascii") == 0) {
          __Pyx_sys_getdefaultencoding_not_ascii = 0;
      } else {
          char ascii_chars[128];
          int c;
          for (c = 0; c < 128; c++) {
              ascii_chars[c] = c;
          }
          __Pyx_sys_getdefaultencoding_not_ascii = 1;
          ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
          if (!ascii_chars_u) goto bad;
          ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
          if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
              PyErr_Format(
                  PyExc_ValueError,
                  "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                  default_encoding_c);
              goto bad;
          }
          Py_DECREF(ascii_chars_u);
          Py_DECREF(ascii_chars_b);
      }
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      Py_XDECREF(ascii_chars_u);
      Py_XDECREF(ascii_chars_b);
      return -1;
  }
  #endif
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
  #else
  #define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
  #if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  static char* __PYX_DEFAULT_STRING_ENCODING;
  static int __Pyx_init_sys_getdefaultencoding_params(void) {
      PyObject* sys;
      PyObject* default_encoding = NULL;
      char* default_encoding_c;
      sys = PyImport_ImportModule("sys");
      if (!sys) goto bad;
      default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
      Py_DECREF(sys);
      if (!default_encoding) goto bad;
      default_encoding_c = PyBytes_AsString(default_encoding);
      if (!default_encoding_c) goto bad;
      __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
      if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
      strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
      Py_DECREF(default_encoding);
      return 0;
  bad:
      Py_XDECREF(default_encoding);
      return -1;
  }
  #endif
  #endif
  
  
  /* Test for GCC > 2.95 */
  #if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
  #else /* !__GNUC__ or GCC < 2.95 */
    #define likely(x)   (x)
    #define unlikely(x) (x)
  #endif /* __GNUC__ */
  static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }
  
  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[] = {
    "splikes/neurons/poisson_julijana.pyx",
    "stringsource",
    "__init__.pxd",
    "type.pxd",
    "splikes/splikes.pxd",
  };
  
  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":690
   * # in Cython to enable them only on the right systems.
   * 
   * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   */
  typedef npy_int8 __pyx_t_5numpy_int8_t;
  
  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":691
   * 
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t
   */
  typedef npy_int16 __pyx_t_5numpy_int16_t;
  
  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":692
   * ctypedef npy_int8       int8_t
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_int64      int64_t
   * #ctypedef npy_int96      int96_t
   */
  typedef npy_int32 __pyx_t_5numpy_int32_t;
  
  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":693
   * ctypedef npy_int16      int16_t
   * ctypedef npy_int32      int32_t
   * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
   * #ctypedef npy_int96      int96_t
   * #ctypedef npy_int128     int128_t
   */
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":697
   * #ctypedef npy_int128     int128_t
   * 
   * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint16     uint16_t
   * ctypedef npy_uint32     uint32_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":698
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   * ctypedef npy_uint8      uint8_t
   * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":699
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   * ctypedef npy_uint16     uint16_t
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   * ctypedef npy_uint64     uint64_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":700
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   * ctypedef npy_uint32     uint32_t
   * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":704
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   * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
   * ctypedef npy_float64    float64_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":705
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   * ctypedef npy_float32    float32_t
   * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
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   * #ctypedef npy_float128   float128_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":714
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   * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longlong   long_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":715
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":716
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":718
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":719
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   */
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":720
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":722
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":723
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   * ctypedef npy_double     float_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":725
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   * ctypedef npy_double     double_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":726
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   * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
   * ctypedef npy_longdouble longdouble_t
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":727
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  /*--- Type declarations ---*/
  struct __pyx_obj_7splikes_7splikes_group;
  struct __pyx_obj_7splikes_7splikes_monitor;
  struct __pyx_obj_7splikes_7splikes_simulation;
  struct __pyx_obj_7splikes_7splikes_neuron;
  struct __pyx_obj_7splikes_7splikes_connection;
  struct __pyx_obj_7splikes_7neurons_16poisson_julijana_poisson_julijana;
  
  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":729
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   * 
   * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
   * ctypedef npy_cdouble     cdouble_t
   * ctypedef npy_clongdouble clongdouble_t
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  typedef npy_cfloat __pyx_t_5numpy_cfloat_t;
  
  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":730
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   * ctypedef npy_cfloat      cfloat_t
   * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
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  /* "../../../opt/anaconda3/envs/py3/lib/python3.8/site-packages/numpy/__init__.pxd":731
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   * ctypedef npy_cdouble     cdouble_t
   * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
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    PyObject *values_tmp;
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   *     cdef public double total_time
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    double total_time;
    double start_time;
    double time_to_next_save;
    double time_to_next_filter;
    PyObject *monitors;
    PyObject *filters;
    int seed;
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  /* "splikes/splikes.pxd":52
   *     cpdef _reset(self)
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   *     cdef public int post_count
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    struct __pyx_obj_7splikes_7splikes_group __pyx_base;
    struct __pyx_vtabstruct_7splikes_7splikes_neuron *__pyx_vtab;
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    int post_count;
    PyObject *saved_spikes;
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    double save_spikes_end;
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    PyObject *connections_post;
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    int num_post;
    PyObject *state_variable;
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   *     cdef public np.ndarray initial_weights
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    double w_min;
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    struct __pyx_obj_7splikes_7splikes_neuron *post;
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  /* "splikes/neurons/poisson_julijana.pyx":8
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   * 
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   *     cdef public np.ndarray u
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    double g_0;
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   *     cdef public double save_interval
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   *     cpdef update(self,double t)
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   * 
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  #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
  
  /* PyFunctionFastCall.proto */
  #if CYTHON_FAST_PYCALL
  #define __Pyx_PyFunction_FastCall(func, args, nargs)\
      __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
  #if 1 || PY_VERSION_HEX < 0x030600B1
  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
  #if CYTHON_FAST_PYCALL
    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 // CYTHON_FAST_PYCALL
  #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);
  
  /* 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
  
  /* ExtTypeTest.proto */
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);
  
  /* RaiseDoubleKeywords.proto */
  static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);
  
  /* ParseKeywords.proto */
  static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
      PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
      const char* function_name);
  
  /* RaiseArgTupleInvalid.proto */
  static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
      Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);
  
  /* ListAppend.proto */
  #if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
  static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
      PyListObject* L = (PyListObject*) list;
      Py_ssize_t len = Py_SIZE(list);
      if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
          Py_INCREF(x);
          PyList_SET_ITEM(list, len, x);
          __Pyx_SET_SIZE(list, len + 1);
          return 0;
      }
      return PyList_Append(list, x);
  }
  #else
  #define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
  #endif
  
  /* PyObjectCall2Args.proto */
  static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);
  
  /* PyObjectGetMethod.proto */
  static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);
  
  /* PyObjectCallMethod1.proto */
  static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);
  
  /* append.proto */
  static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);
  
  /* ArgTypeTest.proto */
  #define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
      ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
          __Pyx__ArgTypeTest(obj, type, name, exact))
  static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);
  
  /* 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
  
  /* 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
  
  /* GetAttr.proto */
  static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);
  
  /* GetAttr3.proto */
  static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);
  
  /* Import.proto */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);
  
  /* ImportFrom.proto */
  static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);
  
  /* RaiseException.proto */
  static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);
  
  /* GetItemInt.proto */
  #define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
      (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
      __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
      (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
                 __Pyx_GetItemInt_Generic(o, to_py_func(i))))
  #define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
      (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
      __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
      (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                                int wraparound, int boundscheck);
  #define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
      (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
      __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
      (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                                int wraparound, int boundscheck);
  static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                       int is_list, int wraparound, int boundscheck);
  
  /* HasAttr.proto */
  static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);
  
  /* 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
  
  /* CallNextTpDealloc.proto */
  static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc);
  
  /* CallNextTpTraverse.proto */
  static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);
  
  /* CallNextTpClear.proto */
  static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_dealloc);
  
  /* 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);
  
  /* PyObject_GenericGetAttrNoDict.proto */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
  #else
  #define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
  #endif
  
  /* PyObject_GenericGetAttr.proto */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
  #else
  #define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
  #endif
  
  /* SetVTable.proto */
  static int __Pyx_SetVtable(PyObject *dict, void *vtable);
  
  /* PyObjectGetAttrStrNoError.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);
  
  /* SetupReduce.proto */
  static int __Pyx_setup_reduce(PyObject* type_obj);
  
  /* 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);
  
  /* GCCDiagnostics.proto */
  #if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
  #define __Pyx_HAS_GCC_DIAGNOSTIC
  #endif
  
  /* 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);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);
  
  /* CIntFromPy.proto */
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);
  
  /* CIntToPy.proto */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);
  
  /* 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);
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  #endif
  
  /* PyObjectGetAttrStr */
  #if CYTHON_USE_TYPE_SLOTS
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
      PyTypeObject* tp = Py_TYPE(obj);
      if (likely(tp->tp_getattro))
          return tp->tp_getattro(obj, attr_name);
  #if PY_MAJOR_VERSION < 3
      if (likely(tp->tp_getattr))
          return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
  #endif
      return PyObject_GetAttr(obj, attr_name);
  }
  #endif
  
  /* GetBuiltinName */
  static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
      PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
      if (unlikely(!result)) {
          PyErr_Format(PyExc_NameError,
  #if PY_MAJOR_VERSION >= 3
              "name '%U' is not defined", name);
  #else
              "name '%.200s' is not defined", PyString_AS_STRING(name));
  #endif
      }
      return result;
  }
  
  /* 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
  
  /* PyFunctionFastCall */
  #if CYTHON_FAST_PYCALL
  static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                                 PyObject *globals) {
      PyFrameObject *f;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      PyObject **fastlocals;
      Py_ssize_t i;
      PyObject *result;
      assert(globals != NULL);
      /* XXX Perhaps we should create a specialized
         PyFrame_New() that doesn't take locals, but does
         take builtins without sanity checking them.
         */
      assert(tstate != NULL);
      f = PyFrame_New(tstate, co, globals, NULL);
      if (f == NULL) {
          return NULL;
      }
      fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
      for (i = 0; i < na; i++) {
          Py_INCREF(*args);
          fastlocals[i] = *args++;
      }
      result = PyEval_EvalFrameEx(f,0);
      ++tstate->recursion_depth;
      Py_DECREF(f);
      --tstate->recursion_depth;
      return result;
  }
  #if 1 || PY_VERSION_HEX < 0x030600B1
  static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
      PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
      PyObject *globals = PyFunction_GET_GLOBALS(func);
      PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
      PyObject *closure;
  #if PY_MAJOR_VERSION >= 3
      PyObject *kwdefs;
  #endif
      PyObject *kwtuple, **k;
      PyObject **d;
      Py_ssize_t nd;
      Py_ssize_t nk;
      PyObject *result;
      assert(kwargs == NULL || PyDict_Check(kwargs));
      nk = kwargs ? PyDict_Size(kwargs) : 0;
      if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
          return NULL;
      }
      if (
  #if PY_MAJOR_VERSION >= 3
              co->co_kwonlyargcount == 0 &&
  #endif
              likely(kwargs == NULL || nk == 0) &&
              co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
          if (argdefs == NULL && co->co_argcount == nargs) {
              result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
              goto done;
          }
          else if (nargs == 0 && argdefs != NULL
                   && co->co_argcount == Py_SIZE(argdefs)) {
              /* function called with no arguments, but all parameters have
                 a default value: use default values as arguments .*/
              args = &PyTuple_GET_ITEM(argdefs, 0);
              result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
              goto done;
          }
      }
      if (kwargs != NULL) {
          Py_ssize_t pos, i;
          kwtuple = PyTuple_New(2 * nk);
          if (kwtuple == NULL) {
              result = NULL;
              goto done;
          }
          k = &PyTuple_GET_ITEM(kwtuple, 0);
          pos = i = 0;
          while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
              Py_INCREF(k[i]);
              Py_INCREF(k[i+1]);
              i += 2;
          }
          nk = i / 2;
      }
      else {
          kwtuple = NULL;
          k = NULL;
      }
      closure = PyFunction_GET_CLOSURE(func);
  #if PY_MAJOR_VERSION >= 3
      kwdefs = PyFunction_GET_KW_DEFAULTS(func);
  #endif
      if (argdefs != NULL) {
          d = &PyTuple_GET_ITEM(argdefs, 0);
          nd = Py_SIZE(argdefs);
      }
      else {
          d = NULL;
          nd = 0;
      }
  #if PY_MAJOR_VERSION >= 3
      result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                                 args, (int)nargs,
                                 k, (int)nk,
                                 d, (int)nd, kwdefs, closure);
  #else
      result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                                 args, (int)nargs,
                                 k, (int)nk,
                                 d, (int)nd, closure);
  #endif
      Py_XDECREF(kwtuple);
  done:
      Py_LeaveRecursiveCall();
      return result;
  }
  #endif
  #endif
  
  /* PyObjectCall */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
      PyObject *result;
      ternaryfunc call = Py_TYPE(func)->tp_call;
      if (unlikely(!call))
          return PyObject_Call(func, arg, kw);
      if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
          return NULL;
      result = (*call)(func, arg, kw);
      Py_LeaveRecursiveCall();
      if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
          PyErr_SetString(
              PyExc_SystemError,
              "NULL result without error in PyObject_Call");
      }
      return result;
  }
  #endif
  
  /* PyObjectCallMethO */
  #if CYTHON_COMPILING_IN_CPYTHON
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
      PyObject *self, *result;
      PyCFunction cfunc;
      cfunc = PyCFunction_GET_FUNCTION(func);
      self = PyCFunction_GET_SELF(func);
      if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
          return NULL;
      result = cfunc(self, arg);
      Py_LeaveRecursiveCall();
      if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
          PyErr_SetString(
              PyExc_SystemError,
              "NULL result without error in PyObject_Call");
      }
      return result;
  }
  #endif
  
  /* 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 (__Pyx_PyFastCFunction_Check(func)) {
              return __Pyx_PyCFunction_FastCall(func, &arg, 1);
  #endif
          }
      }
      return __Pyx__PyObject_CallOneArg(func, arg);
  }
  #else
  static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
      PyObject *result;
      PyObject *args = PyTuple_Pack(1, arg);
      if (unlikely(!args)) return NULL;
      result = __Pyx_PyObject_Call(func, args, NULL);
      Py_DECREF(args);
      return result;
  }
  #endif
  
  /* 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);
  }
  
  /* 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;
  }
  
  /* RaiseDoubleKeywords */
  static void __Pyx_RaiseDoubleKeywordsError(
      const char* func_name,
      PyObject* kw_name)
  {
      PyErr_Format(PyExc_TypeError,
          #if PY_MAJOR_VERSION >= 3
          "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
          #else
          "%s() got multiple values for keyword argument '%s'", func_name,
          PyString_AsString(kw_name));
          #endif
  }
  
  /* ParseKeywords */
  static int __Pyx_ParseOptionalKeywords(
      PyObject *kwds,
      PyObject **argnames[],
      PyObject *kwds2,
      PyObject *values[],
      Py_ssize_t num_pos_args,
      const char* function_name)
  {
      PyObject *key = 0, *value = 0;
      Py_ssize_t pos = 0;
      PyObject*** name;
      PyObject*** first_kw_arg = argnames + num_pos_args;
      while (PyDict_Next(kwds, &pos, &key, &value)) {
          name = first_kw_arg;
          while (*name && (**name != key)) name++;
          if (*name) {
              values[name-argnames] = value;
              continue;
          }
          name = first_kw_arg;
          #if PY_MAJOR_VERSION < 3
          if (likely(PyString_Check(key))) {
              while (*name) {
                  if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                          && _PyString_Eq(**name, key)) {
                      values[name-argnames] = value;
                      break;
                  }
                  name++;
              }
              if (*name) continue;
              else {
                  PyObject*** argname = argnames;
                  while (argname != first_kw_arg) {
                      if ((**argname == key) || (
                              (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                               && _PyString_Eq(**argname, key))) {
                          goto arg_passed_twice;
                      }
                      argname++;
                  }
              }
          } else
          #endif
          if (likely(PyUnicode_Check(key))) {
              while (*name) {
                  int cmp = (**name == key) ? 0 :
                  #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                      (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                  #endif
                      PyUnicode_Compare(**name, key);
                  if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                  if (cmp == 0) {
                      values[name-argnames] = value;
                      break;
                  }
                  name++;
              }
              if (*name) continue;
              else {
                  PyObject*** argname = argnames;
                  while (argname != first_kw_arg) {
                      int cmp = (**argname == key) ? 0 :
                      #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                          (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                      #endif
                          PyUnicode_Compare(**argname, key);
                      if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                      if (cmp == 0) goto arg_passed_twice;
                      argname++;
                  }
              }
          } else
              goto invalid_keyword_type;
          if (kwds2) {
              if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
          } else {
              goto invalid_keyword;
          }
      }
      return 0;
  arg_passed_twice:
      __Pyx_RaiseDoubleKeywordsError(function_name, key);
      goto bad;
  invalid_keyword_type:
      PyErr_Format(PyExc_TypeError,
          "%.200s() keywords must be strings", function_name);
      goto bad;
  invalid_keyword:
      PyErr_Format(PyExc_TypeError,
      #if PY_MAJOR_VERSION < 3
          "%.200s() got an unexpected keyword argument '%.200s'",
          function_name, PyString_AsString(key));
      #else
          "%s() got an unexpected keyword argument '%U'",
          function_name, key);
      #endif
  bad:
      return -1;
  }
  
  /* RaiseArgTupleInvalid */
  static void __Pyx_RaiseArgtupleInvalid(
      const char* func_name,
      int exact,
      Py_ssize_t num_min,
      Py_ssize_t num_max,
      Py_ssize_t num_found)
  {
      Py_ssize_t num_expected;
      const char *more_or_less;
      if (num_found < num_min) {
          num_expected = num_min;
          more_or_less = "at least";
      } else {
          num_expected = num_max;
          more_or_less = "at most";
      }
      if (exact) {
          more_or_less = "exactly";
      }
      PyErr_Format(PyExc_TypeError,
                   "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                   func_name, more_or_less, num_expected,
                   (num_expected == 1) ? "" : "s", num_found);
  }
  
  /* 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;
  }
  
  /* PyObjectGetMethod */
  static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
      PyObject *attr;
  #if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
      PyTypeObject *tp = Py_TYPE(obj);
      PyObject *descr;
      descrgetfunc f = NULL;
      PyObject **dictptr, *dict;
      int meth_found = 0;
      assert (*method == NULL);
      if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
          attr = __Pyx_PyObject_GetAttrStr(obj, name);
          goto try_unpack;
      }
      if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
          return 0;
      }
      descr = _PyType_Lookup(tp, name);
      if (likely(descr != NULL)) {
          Py_INCREF(descr);
  #if PY_MAJOR_VERSION >= 3
          #ifdef __Pyx_CyFunction_USED
          if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
          #else
          if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
          #endif
  #else
          #ifdef __Pyx_CyFunction_USED
          if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
          #else
          if (likely(PyFunction_Check(descr)))
          #endif
  #endif
          {
              meth_found = 1;
          } else {
              f = Py_TYPE(descr)->tp_descr_get;
              if (f != NULL && PyDescr_IsData(descr)) {
                  attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                  Py_DECREF(descr);
                  goto try_unpack;
              }
          }
      }
      dictptr = _PyObject_GetDictPtr(obj);
      if (dictptr != NULL && (dict = *dictptr) != NULL) {
          Py_INCREF(dict);
          attr = __Pyx_PyDict_GetItemStr(dict, name);
          if (attr != NULL) {
              Py_INCREF(attr);
              Py_DECREF(dict);
              Py_XDECREF(descr);
              goto try_unpack;
          }
          Py_DECREF(dict);
      }
      if (meth_found) {
          *method = descr;
          return 1;
      }
      if (f != NULL) {
          attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
          Py_DECREF(descr);
          goto try_unpack;
      }
      if (descr != NULL) {
          *method = descr;
          return 0;
      }
      PyErr_Format(PyExc_AttributeError,
  #if PY_MAJOR_VERSION >= 3
                   "'%.50s' object has no attribute '%U'",
                   tp->tp_name, name);
  #else
                   "'%.50s' object has no attribute '%.400s'",
                   tp->tp_name, PyString_AS_STRING(name));
  #endif
      return 0;
  #else
      attr = __Pyx_PyObject_GetAttrStr(obj, name);
      goto try_unpack;
  #endif
  try_unpack:
  #if CYTHON_UNPACK_METHODS
      if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
          PyObject *function = PyMethod_GET_FUNCTION(attr);
          Py_INCREF(function);
          Py_DECREF(attr);
          *method = function;
          return 1;
      }
  #endif
      *method = attr;
      return 0;
  }
  
  /* PyObjectCallMethod1 */
  static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
      PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
      Py_DECREF(method);
      return result;
  }
  static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
      PyObject *method = NULL, *result;
      int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
      if (likely(is_method)) {
          result = __Pyx_PyObject_Call2Args(method, obj, arg);
          Py_DECREF(method);
          return result;
      }
      if (unlikely(!method)) return NULL;
      return __Pyx__PyObject_CallMethod1(method, arg);
  }
  
  /* append */
  static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
      if (likely(PyList_CheckExact(L))) {
          if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
      } else {
          PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
          if (unlikely(!retval))
              return -1;
          Py_DECREF(retval);
      }
      return 0;
  }
  
  /* ArgTypeTest */
  static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
  {
      if (unlikely(!type)) {
          PyErr_SetString(PyExc_SystemError, "Missing type object");
          return 0;
      }
      else if (exact) {
          #if PY_MAJOR_VERSION == 2
          if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
          #endif
      }
      else {
          if (likely(__Pyx_TypeCheck(obj, type))) return 1;
      }
      PyErr_Format(PyExc_TypeError,
          "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
          name, type->tp_name, Py_TYPE(obj)->tp_name);
      return 0;
  }
  
  /* 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
  
  /* 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
  
  /* GetAttr */
  static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
  #if CYTHON_USE_TYPE_SLOTS
  #if PY_MAJOR_VERSION >= 3
      if (likely(PyUnicode_Check(n)))
  #else
      if (likely(PyString_Check(n)))
  #endif
          return __Pyx_PyObject_GetAttrStr(o, n);
  #endif
      return PyObject_GetAttr(o, n);
  }
  
  /* GetAttr3 */
  static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
          return NULL;
      __Pyx_PyErr_Clear();
      Py_INCREF(d);
      return d;
  }
  static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
      PyObject *r = __Pyx_GetAttr(o, n);
      return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
  }
  
  /* Import */
  static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
      PyObject *empty_list = 0;
      PyObject *module = 0;
      PyObject *global_dict = 0;
      PyObject *empty_dict = 0;
      PyObject *list;
      #if PY_MAJOR_VERSION < 3
      PyObject *py_import;
      py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
      if (!py_import)
          goto bad;
      #endif
      if (from_list)
          list = from_list;
      else {
          empty_list = PyList_New(0);
          if (!empty_list)
              goto bad;
          list = empty_list;
      }
      global_dict = PyModule_GetDict(__pyx_m);
      if (!global_dict)
          goto bad;
      empty_dict = PyDict_New();
      if (!empty_dict)
          goto bad;
      {
          #if PY_MAJOR_VERSION >= 3
          if (level == -1) {
              if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                  module = PyImport_ImportModuleLevelObject(
                      name, global_dict, empty_dict, list, 1);
                  if (!module) {
                      if (!PyErr_ExceptionMatches(PyExc_ImportError))
                          goto bad;
                      PyErr_Clear();
                  }
              }
              level = 0;
          }
          #endif
          if (!module) {
              #if PY_MAJOR_VERSION < 3
              PyObject *py_level = PyInt_FromLong(level);
              if (!py_level)
                  goto bad;
              module = PyObject_CallFunctionObjArgs(py_import,
                  name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
              Py_DECREF(py_level);
              #else
              module = PyImport_ImportModuleLevelObject(
                  name, global_dict, empty_dict, list, level);
              #endif
          }
      }
  bad:
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(py_import);
      #endif
      Py_XDECREF(empty_list);
      Py_XDECREF(empty_dict);
      return module;
  }
  
  /* 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;
  }
  
  /* 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
  
  /* GetItemInt */
  static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
      PyObject *r;
      if (!j) return NULL;
      r = PyObject_GetItem(o, j);
      Py_DECREF(j);
      return r;
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                                CYTHON_NCP_UNUSED int wraparound,
                                                                CYTHON_NCP_UNUSED int boundscheck) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      Py_ssize_t wrapped_i = i;
      if (wraparound & unlikely(i < 0)) {
          wrapped_i += PyList_GET_SIZE(o);
      }
      if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
          PyObject *r = PyList_GET_ITEM(o, wrapped_i);
          Py_INCREF(r);
          return r;
      }
      return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
  #else
      return PySequence_GetItem(o, i);
  #endif
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                                CYTHON_NCP_UNUSED int wraparound,
                                                                CYTHON_NCP_UNUSED int boundscheck) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
      Py_ssize_t wrapped_i = i;
      if (wraparound & unlikely(i < 0)) {
          wrapped_i += PyTuple_GET_SIZE(o);
      }
      if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
          PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
          Py_INCREF(r);
          return r;
      }
      return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
  #else
      return PySequence_GetItem(o, i);
  #endif
  }
  static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                       CYTHON_NCP_UNUSED int wraparound,
                                                       CYTHON_NCP_UNUSED int boundscheck) {
  #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
      if (is_list || PyList_CheckExact(o)) {
          Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
          if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
              PyObject *r = PyList_GET_ITEM(o, n);
              Py_INCREF(r);
              return r;
          }
      }
      else if (PyTuple_CheckExact(o)) {
          Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
          if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
              PyObject *r = PyTuple_GET_ITEM(o, n);
              Py_INCREF(r);
              return r;
          }
      } else {
          PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
          if (likely(m && m->sq_item)) {
              if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                  Py_ssize_t l = m->sq_length(o);
                  if (likely(l >= 0)) {
                      i += l;
                  } else {
                      if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                          return NULL;
                      PyErr_Clear();
                  }
              }
              return m->sq_item(o, i);
          }
      }
  #else
      if (is_list || PySequence_Check(o)) {
          return PySequence_GetItem(o, i);
      }
  #endif
      return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
  }
  
  /* HasAttr */
  static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
      PyObject *r;
      if (unlikely(!__Pyx_PyBaseString_Check(n))) {
          PyErr_SetString(PyExc_TypeError,
                          "hasattr(): attribute name must be string");
          return -1;
      }
      r = __Pyx_GetAttr(o, n);
      if (unlikely(!r)) {
          PyErr_Clear();
          return 0;
      } else {
          Py_DECREF(r);
          return 1;
      }
  }
  
  /* 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;
  }
  
  /* CallNextTpDealloc */
  static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc) {
      PyTypeObject* type = Py_TYPE(obj);
      while (type && type->tp_dealloc != current_tp_dealloc)
          type = type->tp_base;
      while (type && type->tp_dealloc == current_tp_dealloc)
          type = type->tp_base;
      if (type)
          type->tp_dealloc(obj);
  }
  
  /* CallNextTpTraverse */
  static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
      PyTypeObject* type = Py_TYPE(obj);
      while (type && type->tp_traverse != current_tp_traverse)
          type = type->tp_base;
      while (type && type->tp_traverse == current_tp_traverse)
          type = type->tp_base;
      if (type && type->tp_traverse)
          return type->tp_traverse(obj, v, a);
      return 0;
  }
  
  /* CallNextTpClear */
  static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
      PyTypeObject* type = Py_TYPE(obj);
      while (type && type->tp_clear != current_tp_clear)
          type = type->tp_base;
      while (type && type->tp_clear == current_tp_clear)
          type = type->tp_base;
      if (type && type->tp_clear)
          type->tp_clear(obj);
  }
  
  /* 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;
  }
  
  /* PyObject_GenericGetAttrNoDict */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
      PyErr_Format(PyExc_AttributeError,
  #if PY_MAJOR_VERSION >= 3
                   "'%.50s' object has no attribute '%U'",
                   tp->tp_name, attr_name);
  #else
                   "'%.50s' object has no attribute '%.400s'",
                   tp->tp_name, PyString_AS_STRING(attr_name));
  #endif
      return NULL;
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
      PyObject *descr;
      PyTypeObject *tp = Py_TYPE(obj);
      if (unlikely(!PyString_Check(attr_name))) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      assert(!tp->tp_dictoffset);
      descr = _PyType_Lookup(tp, attr_name);
      if (unlikely(!descr)) {
          return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
      }
      Py_INCREF(descr);
      #if PY_MAJOR_VERSION < 3
      if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
      #endif
      {
          descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
          if (unlikely(f)) {
              PyObject *res = f(descr, obj, (PyObject *)tp);
              Py_DECREF(descr);
              return res;
          }
      }
      return descr;
  }
  #endif
  
  /* PyObject_GenericGetAttr */
  #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
  static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
      if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
          return PyObject_GenericGetAttr(obj, attr_name);
      }
      return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
  }
  #endif
  
  /* SetVTable */
  static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
  #if PY_VERSION_HEX >= 0x02070000
      PyObject *ob = PyCapsule_New(vtable, 0, 0);
  #else
      PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
  #endif
      if (!ob)
          goto bad;
      if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
          goto bad;
      Py_DECREF(ob);
      return 0;
  bad:
      Py_XDECREF(ob);
      return -1;
  }
  
  /* PyObjectGetAttrStrNoError */
  static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
      __Pyx_PyThreadState_declare
      __Pyx_PyThreadState_assign
      if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
          __Pyx_PyErr_Clear();
  }
  static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
      PyObject *result;
  #if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
      PyTypeObject* tp = Py_TYPE(obj);
      if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
          return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
      }
  #endif
      result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
      if (unlikely(!result)) {
          __Pyx_PyObject_GetAttrStr_ClearAttributeError();
      }
      return result;
  }
  
  /* SetupReduce */
  static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
    int ret;
    PyObject *name_attr;
    name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name);
    if (likely(name_attr)) {
        ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
    } else {
        ret = -1;
    }
    if (unlikely(ret < 0)) {
        PyErr_Clear();
        ret = 0;
    }
    Py_XDECREF(name_attr);
    return ret;
  }
  static int __Pyx_setup_reduce(PyObject* type_obj) {
      int ret = 0;
      PyObject *object_reduce = NULL;
      PyObject *object_reduce_ex = NULL;
      PyObject *reduce = NULL;
      PyObject *reduce_ex = NULL;
      PyObject *reduce_cython = NULL;
      PyObject *setstate = NULL;
      PyObject *setstate_cython = NULL;
  #if CYTHON_USE_PYTYPE_LOOKUP
      if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
  #else
      if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
  #endif
  #if CYTHON_USE_PYTYPE_LOOKUP
      object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #else
      object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
  #endif
      reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
      if (reduce_ex == object_reduce_ex) {
  #if CYTHON_USE_PYTYPE_LOOKUP
          object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
  #else
          object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
  #endif
          reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
          if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
              reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
              if (likely(reduce_cython)) {
                  ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                  ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
              } else if (reduce == object_reduce || PyErr_Occurred()) {
                  goto __PYX_BAD;
              }
              setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
              if (!setstate) PyErr_Clear();
              if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                  setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                  if (likely(setstate_cython)) {
                      ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                      ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                  } else if (!setstate || PyErr_Occurred()) {
                      goto __PYX_BAD;
                  }
              }
              PyType_Modified((PyTypeObject*)type_obj);
          }
      }
      goto __PYX_GOOD;
  __PYX_BAD:
      if (!PyErr_Occurred())
          PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
      ret = -1;
  __PYX_GOOD:
  #if !CYTHON_USE_PYTYPE_LOOKUP
      Py_XDECREF(object_reduce);
      Py_XDECREF(object_reduce_ex);
  #endif
      Py_XDECREF(reduce);
      Py_XDECREF(reduce_ex);
      Py_XDECREF(reduce_cython);
      Py_XDECREF(setstate);
      Py_XDECREF(setstate_cython);
      return ret;
  }
  
  /* 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;
          (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
      }
      else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
          c_line = 0;
      }
      __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
      return c_line;
  }
  #endif
  
  /* CodeObjectCache */
  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 = NULL;
      PyObject *py_funcname = NULL;
      #if PY_MAJOR_VERSION < 3
      PyObject *py_srcfile = NULL;
      py_srcfile = PyString_FromString(filename);
      if (!py_srcfile) goto bad;
      #endif
      if (c_line) {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          if (!py_funcname) goto bad;
          #else
          py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
          if (!py_funcname) goto bad;
          funcname = PyUnicode_AsUTF8(py_funcname);
          if (!funcname) goto bad;
          #endif
      }
      else {
          #if PY_MAJOR_VERSION < 3
          py_funcname = PyString_FromString(funcname);
          if (!py_funcname) goto bad;
          #endif
      }
      #if PY_MAJOR_VERSION < 3
      py_code = __Pyx_PyCode_New(
          0,
          0,
          0,
          0,
          0,
          __pyx_empty_bytes, /*PyObject *code,*/
          __pyx_empty_tuple, /*PyObject *consts,*/
          __pyx_empty_tuple, /*PyObject *names,*/
          __pyx_empty_tuple, /*PyObject *varnames,*/
          __pyx_empty_tuple, /*PyObject *freevars,*/
          __pyx_empty_tuple, /*PyObject *cellvars,*/
          py_srcfile,   /*PyObject *filename,*/
          py_funcname,  /*PyObject *name,*/
          py_line,
          __pyx_empty_bytes  /*PyObject *lnotab*/
      );
      Py_DECREF(py_srcfile);
      #else
      py_code = PyCode_NewEmpty(filename, funcname, py_line);
      #endif
      Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
      return py_code;
  bad:
      Py_XDECREF(py_funcname);
      #if PY_MAJOR_VERSION < 3
      Py_XDECREF(py_srcfile);
      #endif
      return NULL;
  }
  static void __Pyx_AddTraceback(const char *funcname, int c_line,
                                 int py_line, const char *filename) {
      PyCodeObject *py_code = 0;
      PyFrameObject *py_frame = 0;
      PyThreadState *tstate = __Pyx_PyThreadState_Current;
      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;\
      }
  
  /* 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) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const int neg_one = (int) -1, const_zero = (int) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(int) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(int) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(int) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(int),
                                       little, !is_unsigned);
      }
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const int neg_one = (int) -1, const_zero = (int) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(int) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (int) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                              return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                              return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                              return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (int) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(int) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (int) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                              return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                              return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                              return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(int) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              int val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (int) -1;
          }
      } else {
          int val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (int) -1;
          val = __Pyx_PyInt_As_int(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to int");
      return (int) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to int");
      return (int) -1;
  }
  
  /* CIntFromPy */
  static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const long neg_one = (long) -1, const_zero = (long) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
  #if PY_MAJOR_VERSION < 3
      if (likely(PyInt_Check(x))) {
          if (sizeof(long) < sizeof(long)) {
              __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
          } else {
              long val = PyInt_AS_LONG(x);
              if (is_unsigned && unlikely(val < 0)) {
                  goto raise_neg_overflow;
              }
              return (long) val;
          }
      } else
  #endif
      if (likely(PyLong_Check(x))) {
          if (is_unsigned) {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                              return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                              return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                              return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                          }
                      }
                      break;
              }
  #endif
  #if CYTHON_COMPILING_IN_CPYTHON
              if (unlikely(Py_SIZE(x) < 0)) {
                  goto raise_neg_overflow;
              }
  #else
              {
                  int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                  if (unlikely(result < 0))
                      return (long) -1;
                  if (unlikely(result == 1))
                      goto raise_neg_overflow;
              }
  #endif
              if (sizeof(long) <= sizeof(unsigned long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
  #endif
              }
          } else {
  #if CYTHON_USE_PYLONG_INTERNALS
              const digit* digits = ((PyLongObject*)x)->ob_digit;
              switch (Py_SIZE(x)) {
                  case  0: return (long) 0;
                  case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                  case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                  case -2:
                      if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 2:
                      if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                              return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -3:
                      if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 3:
                      if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                              return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case -4:
                      if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
                  case 4:
                      if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                          if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                              __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                          } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                              return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                          }
                      }
                      break;
              }
  #endif
              if (sizeof(long) <= sizeof(long)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
  #ifdef HAVE_LONG_LONG
              } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                  __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
  #endif
              }
          }
          {
  #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
              PyErr_SetString(PyExc_RuntimeError,
                              "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
  #else
              long val;
              PyObject *v = __Pyx_PyNumber_IntOrLong(x);
   #if PY_MAJOR_VERSION < 3
              if (likely(v) && !PyLong_Check(v)) {
                  PyObject *tmp = v;
                  v = PyNumber_Long(tmp);
                  Py_DECREF(tmp);
              }
   #endif
              if (likely(v)) {
                  int one = 1; int is_little = (int)*(unsigned char *)&one;
                  unsigned char *bytes = (unsigned char *)&val;
                  int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                                bytes, sizeof(val),
                                                is_little, !is_unsigned);
                  Py_DECREF(v);
                  if (likely(!ret))
                      return val;
              }
  #endif
              return (long) -1;
          }
      } else {
          long val;
          PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
          if (!tmp) return (long) -1;
          val = __Pyx_PyInt_As_long(tmp);
          Py_DECREF(tmp);
          return val;
      }
  raise_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "value too large to convert to long");
      return (long) -1;
  raise_neg_overflow:
      PyErr_SetString(PyExc_OverflowError,
          "can't convert negative value to long");
      return (long) -1;
  }
  
  /* CIntToPy */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic push
  #pragma GCC diagnostic ignored "-Wconversion"
  #endif
      const long neg_one = (long) -1, const_zero = (long) 0;
  #ifdef __Pyx_HAS_GCC_DIAGNOSTIC
  #pragma GCC diagnostic pop
  #endif
      const int is_unsigned = neg_one > const_zero;
      if (is_unsigned) {
          if (sizeof(long) < sizeof(long)) {
              return PyInt_FromLong((long) value);
          } else if (sizeof(long) <= sizeof(unsigned long)) {
              return PyLong_FromUnsignedLong((unsigned long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
              return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
  #endif
          }
      } else {
          if (sizeof(long) <= sizeof(long)) {
              return PyInt_FromLong((long) value);
  #ifdef HAVE_LONG_LONG
          } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
              return PyLong_FromLongLong((PY_LONG_LONG) value);
  #endif
          }
      }
      {
          int one = 1; int little = (int)*(unsigned char *)&one;
          unsigned char *bytes = (unsigned char *)&value;
          return _PyLong_FromByteArray(bytes, sizeof(long),
                                       little, !is_unsigned);
      }
  }
  
  /* 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;
  }
  
  /* FunctionImport */
  #ifndef __PYX_HAVE_RT_ImportFunction
  #define __PYX_HAVE_RT_ImportFunction
  static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
      PyObject *d = 0;
      PyObject *cobj = 0;
      union {
          void (*fp)(void);
          void *p;
      } tmp;
      d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
      if (!d)
          goto bad;
      cobj = PyDict_GetItemString(d, funcname);
      if (!cobj) {
          PyErr_Format(PyExc_ImportError,
              "%.200s does not export expected C function %.200s",
                  PyModule_GetName(module), funcname);
          goto bad;
      }
  #if PY_VERSION_HEX >= 0x02070000
      if (!PyCapsule_IsValid(cobj, sig)) {
          PyErr_Format(PyExc_TypeError,
              "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
          goto bad;
      }
      tmp.p = PyCapsule_GetPointer(cobj, sig);
  #else
      {const char *desc, *s1, *s2;
      desc = (const char *)PyCObject_GetDesc(cobj);
      if (!desc)
          goto bad;
      s1 = desc; s2 = sig;
      while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
      if (*s1 != *s2) {
          PyErr_Format(PyExc_TypeError,
              "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
               PyModule_GetName(module), funcname, sig, desc);
          goto bad;
      }
      tmp.p = PyCObject_AsVoidPtr(cobj);}
  #endif
      *f = tmp.fp;
      if (!(*f))
          goto bad;
      Py_DECREF(d);
      return 0;
  bad:
      Py_XDECREF(d);
      return -1;
  }
  #endif
  
  /* InitStrings */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
      while (t->p) {
          #if PY_MAJOR_VERSION < 3
          if (t->is_unicode) {
              *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
          } else if (t->intern) {
              *t->p = PyString_InternFromString(t->s);
          } else {
              *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
          }
          #else
          if (t->is_unicode | t->is_str) {
              if (t->intern) {
                  *t->p = PyUnicode_InternFromString(t->s);
              } else if (t->encoding) {
                  *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
              } else {
                  *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
              }
          } else {
              *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
          }
          #endif
          if (!*t->p)
              return -1;
          if (PyObject_Hash(*t->p) == -1)
              return -1;
          ++t;
      }
      return 0;
  }
  
  static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
      return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
  }
  static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
      Py_ssize_t ignore;
      return __Pyx_PyObject_AsStringAndSize(o, &ignore);
  }
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
  #if !CYTHON_PEP393_ENABLED
  static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      char* defenc_c;
      PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
      if (!defenc) return NULL;
      defenc_c = PyBytes_AS_STRING(defenc);
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
      {
          char* end = defenc_c + PyBytes_GET_SIZE(defenc);
          char* c;
          for (c = defenc_c; c < end; c++) {
              if ((unsigned char) (*c) >= 128) {
                  PyUnicode_AsASCIIString(o);
                  return NULL;
              }
          }
      }
  #endif
      *length = PyBytes_GET_SIZE(defenc);
      return defenc_c;
  }
  #else
  static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
      if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
      if (likely(PyUnicode_IS_ASCII(o))) {
          *length = PyUnicode_GET_LENGTH(o);
          return PyUnicode_AsUTF8(o);
      } else {
          PyUnicode_AsASCIIString(o);
          return NULL;
      }
  #else
      return PyUnicode_AsUTF8AndSize(o, length);
  #endif
  }
  #endif
  #endif
  static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
  #if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
      if (
  #if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
              __Pyx_sys_getdefaultencoding_not_ascii &&
  #endif
              PyUnicode_Check(o)) {
          return __Pyx_PyUnicode_AsStringAndSize(o, length);
      } else
  #endif
  #if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
      if (PyByteArray_Check(o)) {
          *length = PyByteArray_GET_SIZE(o);
          return PyByteArray_AS_STRING(o);
      } else
  #endif
      {
          char* result;
          int r = PyBytes_AsStringAndSize(o, &result, length);
          if (unlikely(r < 0)) {
              return NULL;
          } else {
              return result;
          }
      }
  }
  static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
     int is_true = x == Py_True;
     if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
     else return PyObject_IsTrue(x);
  }
  static 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 Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
    if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
      return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
  #if PY_MAJOR_VERSION < 3
    } else if (likely(PyInt_CheckExact(o))) {
      return PyInt_AS_LONG(o);
  #endif
    } else {
      Py_ssize_t ival;
      PyObject *x;
      x = PyNumber_Index(o);
      if (!x) return -1;
      ival = PyInt_AsLong(x);
      Py_DECREF(x);
      return ival;
    }
  }
  static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
    return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
  }
  static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
      return PyInt_FromSize_t(ival);
  }
  
  
  #endif /* Py_PYTHON_H */
  