/* Generated by Cython 0.28 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "name": "apache_beam.transforms.cy_combiners", 
        "sources": [
            "apache_beam/transforms/cy_combiners.py"
        ]
    }, 
    "module_name": "apache_beam.transforms.cy_combiners"
}
END: Cython Metadata */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
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#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000)
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# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
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    #define CYTHON_INLINE __inline
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    #define CYTHON_INLINE inline
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#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag)
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#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
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  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
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#define Py_tss_NEEDS_INIT 0
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static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
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static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
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static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
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static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
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  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
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  #define PyStringObject               PyUnicodeObject
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  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
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  #define PyInt_FromUnicode            PyLong_FromUnicode
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  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
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/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
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#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;
static PyObject *__pyx_empty_tuple;
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static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;


static const char *__pyx_f[] = {
  "apache_beam/transforms/cy_combiners.py",
  "apache_beam/transforms/cy_combiners.pxd",
  "stringsource",
};

/*--- Type declarations ---*/
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator;
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator;

/* "apache_beam/transforms/cy_combiners.pxd":24
 * 
 * 
 * cdef class CountAccumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly int64_t value
 *   cpdef add_input(self, unused_element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_vtab;
  int64_t value;
};


/* "apache_beam/transforms/cy_combiners.pxd":30
 *   cpdef merge(self, accumulators)
 * 
 * cdef class SumInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly int64_t value
 *   cpdef add_input(self, int64_t element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_vtab;
  int64_t value;
};


/* "apache_beam/transforms/cy_combiners.pxd":36
 *   cpdef merge(self, accumulators)
 * 
 * cdef class MinInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly int64_t value
 *   cpdef add_input(self, int64_t element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_vtab;
  int64_t value;
};


/* "apache_beam/transforms/cy_combiners.pxd":42
 *   cpdef merge(self, accumulators)
 * 
 * cdef class MaxInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly int64_t value
 *   cpdef add_input(self, int64_t element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_vtab;
  int64_t value;
};


/* "apache_beam/transforms/cy_combiners.pxd":48
 *   cpdef merge(self, accumulators)
 * 
 * cdef class MeanInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly int64_t sum
 *   cdef readonly int64_t count
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_vtab;
  int64_t sum;
  int64_t count;
};


/* "apache_beam/transforms/cy_combiners.pxd":56
 * 
 * 
 * cdef class SumDoubleAccumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly double value
 *   cpdef add_input(self, double element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_vtab;
  double value;
};


/* "apache_beam/transforms/cy_combiners.pxd":62
 *   cpdef merge(self, accumulators)
 * 
 * cdef class MinDoubleAccumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly double value
 *   cpdef add_input(self, double element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_vtab;
  double value;
};


/* "apache_beam/transforms/cy_combiners.pxd":68
 *   cpdef merge(self, accumulators)
 * 
 * cdef class MaxDoubleAccumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly double value
 *   cpdef add_input(self, double element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_vtab;
  double value;
};


/* "apache_beam/transforms/cy_combiners.pxd":74
 *   cpdef merge(self, accumulators)
 * 
 * cdef class MeanDoubleAccumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly double sum
 *   cdef readonly int64_t count
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_vtab;
  double sum;
  int64_t count;
};


/* "apache_beam/transforms/cy_combiners.pxd":82
 * 
 * 
 * cdef class AllAccumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly bint value
 *   cpdef add_input(self, bint element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_vtab;
  int value;
};


/* "apache_beam/transforms/cy_combiners.pxd":88
 *   cpdef merge(self, accumulators)
 * 
 * cdef class AnyAccumulator(object):             # <<<<<<<<<<<<<<
 *   cdef readonly bint value
 *   cpdef add_input(self, bint element)
 */
struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator {
  PyObject_HEAD
  struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_vtab;
  int value;
};



/* "apache_beam/transforms/cy_combiners.py":65
 * 
 * 
 * class CountAccumulator(object):             # <<<<<<<<<<<<<<
 *   def __init__(self):
 *     self.value = 0
 */

struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_CountAccumulator {
  PyObject *(*add_input)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*merge)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *, PyObject *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_vtabptr_11apache_beam_10transforms_12cy_combiners_CountAccumulator;


/* "apache_beam/transforms/cy_combiners.py":80
 * 
 * 
 * class SumInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   def __init__(self):
 *     self.value = 0
 */

struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator {
  PyObject *(*add_input)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *, int64_t, int __pyx_skip_dispatch);
  PyObject *(*merge)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *, PyObject *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_vtabptr_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator;


/* "apache_beam/transforms/cy_combiners.py":103
 * 
 * 
 * class MinInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   def __init__(self):
 *     self.value = INT64_MAX
 */

struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator {
  PyObject *(*add_input)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *, int64_t, int __pyx_skip_dispatch);
  PyObject *(*merge)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *, PyObject *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_vtabptr_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator;


/* "apache_beam/transforms/cy_combiners.py":123
 * 
 * 
 * class MaxInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   def __init__(self):
 *     self.value = INT64_MIN
 */

struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator {
  PyObject *(*add_input)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *, int64_t, int __pyx_skip_dispatch);
  PyObject *(*merge)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *, PyObject *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_vtabptr_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator;


/* "apache_beam/transforms/cy_combiners.py":143
 * 
 * 
 * class MeanInt64Accumulator(object):             # <<<<<<<<<<<<<<
 *   def __init__(self):
 *     self.sum = 0
 */

struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator {
  PyObject *(*add_input)(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *, int64_t, int __pyx_skip_dispatch);
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/* "apache_beam/transforms/cy_combiners.py":193
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/* "apache_beam/transforms/cy_combiners.py":245
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struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator {
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/* "apache_beam/transforms/cy_combiners.py":295
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struct __pyx_vtabstruct_11apache_beam_10transforms_12cy_combiners_AnyAccumulator {
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 PyFloat_AS_DOUBLE(obj) : __Pyx__PyObject_AsDouble(obj))
#endif

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

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int64_t(int64_t value);

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

/* CIntFromPy.proto */
static CYTHON_INLINE int64_t __Pyx_PyInt_As_int64_t(PyObject *);

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

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

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

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

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

/* VoidPtrExport.proto */
static int __Pyx_ExportVoidPtr(PyObject *name, void *p, const char *sig);

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

static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_unused_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self, double __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self, double __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self, double __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self, double __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_14AllAccumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self, int __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_14AllAccumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self, int __pyx_v_element, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators, int __pyx_skip_dispatch); /* proto*/

/* Module declarations from 'cython' */

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

/* Module declarations from 'apache_beam.transforms.cy_combiners' */
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_CountAccumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_AllAccumulator = 0;
static PyTypeObject *__pyx_ptype_11apache_beam_10transforms_12cy_combiners_AnyAccumulator = 0;
static double __pyx_v_11apache_beam_10transforms_12cy_combiners__NEG_INF;
static double __pyx_v_11apache_beam_10transforms_12cy_combiners__POS_INF;
static double __pyx_v_11apache_beam_10transforms_12cy_combiners__NAN;
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_CountAccumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_SumInt64Accumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_MinInt64Accumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_MaxInt64Accumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_MeanInt64Accumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_SumDoubleAccumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_MinDoubleAccumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_MaxDoubleAccumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_MeanDoubleAccumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_AllAccumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *, PyObject *); /*proto*/
static PyObject *__pyx_f_11apache_beam_10transforms_12cy_combiners___pyx_unpickle_AnyAccumulator__set_state(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *, PyObject *); /*proto*/
#define __Pyx_MODULE_NAME "apache_beam.transforms.cy_combiners"
extern int __pyx_module_is_main_apache_beam__transforms__cy_combiners;
int __pyx_module_is_main_apache_beam__transforms__cy_combiners = 0;

/* Implementation of 'apache_beam.transforms.cy_combiners' */
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_staticmethod;
static PyObject *__pyx_builtin_OverflowError;
static const char __pyx_k_63[] = "_63";
static const char __pyx_k_eq[] = "__eq__";
static const char __pyx_k_NAN[] = "_NAN";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_inf[] = "inf";
static const char __pyx_k_nan[] = "nan";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_core[] = "core";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_hash[] = "__hash__";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_inf_2[] = "-inf";
static const char __pyx_k_merge[] = "merge";
static const char __pyx_k_other[] = "other";
static const char __pyx_k_state[] = "state";
static const char __pyx_k_dict_2[] = "_dict";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_NEG_INF[] = "_NEG_INF";
static const char __pyx_k_POS_INF[] = "_POS_INF";
static const char __pyx_k_element[] = "element";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_pyx_capi[] = "__pyx_capi__";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_CombineFn[] = "CombineFn";
static const char __pyx_k_INT64_MAX[] = "INT64_MAX";
static const char __pyx_k_INT64_MIN[] = "INT64_MIN";
static const char __pyx_k_add_input[] = "add_input";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_MaxFloatFn[] = "MaxFloatFn";
static const char __pyx_k_MaxInt64Fn[] = "MaxInt64Fn";
static const char __pyx_k_MinFloatFn[] = "MinFloatFn";
static const char __pyx_k_MinInt64Fn[] = "MinInt64Fn";
static const char __pyx_k_SumFloatFn[] = "SumFloatFn";
static const char __pyx_k_SumInt64Fn[] = "SumInt64Fn";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_MeanFloatFn[] = "MeanFloatFn";
static const char __pyx_k_MeanInt64Fn[] = "MeanInt64Fn";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_accumulator[] = "accumulator";
static const char __pyx_k_AllCombineFn[] = "AllCombineFn";
static const char __pyx_k_AnyCombineFn[] = "AnyCombineFn";
static const char __pyx_k_accumulators[] = "accumulators";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_staticmethod[] = "staticmethod";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_use_setstate[] = "use_setstate";
static const char __pyx_k_OverflowError[] = "OverflowError";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_CountCombineFn[] = "CountCombineFn";
static const char __pyx_k_extract_output[] = "extract_output";
static const char __pyx_k_unused_element[] = "unused_element";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_accumulator_type[] = "_accumulator_type";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_create_accumulator[] = "create_accumulator";
static const char __pyx_k_merge_accumulators[] = "merge_accumulators";
static const char __pyx_k_AccumulatorCombineFn[] = "AccumulatorCombineFn";
static const char __pyx_k_AllAccumulator_merge[] = "AllAccumulator.merge";
static const char __pyx_k_AnyAccumulator_merge[] = "AnyAccumulator.merge";
static const char __pyx_k_CountAccumulator_merge[] = "CountAccumulator.merge";
static const char __pyx_k_apache_beam_transforms[] = "apache_beam.transforms";
static const char __pyx_k_AllAccumulator_add_input[] = "AllAccumulator.add_input";
static const char __pyx_k_AnyAccumulator_add_input[] = "AnyAccumulator.add_input";
static const char __pyx_k_AccumulatorCombineFn___eq[] = "AccumulatorCombineFn.__eq__";
static const char __pyx_k_MaxInt64Accumulator_merge[] = "MaxInt64Accumulator.merge";
static const char __pyx_k_MinInt64Accumulator_merge[] = "MinInt64Accumulator.merge";
static const char __pyx_k_SumInt64Accumulator_merge[] = "SumInt64Accumulator.merge";
static const char __pyx_k_CountAccumulator_add_input[] = "CountAccumulator.add_input";
static const char __pyx_k_MaxDoubleAccumulator_merge[] = "MaxDoubleAccumulator.merge";
static const char __pyx_k_MeanInt64Accumulator_merge[] = "MeanInt64Accumulator.merge";
static const char __pyx_k_MinDoubleAccumulator_merge[] = "MinDoubleAccumulator.merge";
static const char __pyx_k_SumDoubleAccumulator_merge[] = "SumDoubleAccumulator.merge";
static const char __pyx_k_AccumulatorCombineFn___hash[] = "AccumulatorCombineFn.__hash__";
static const char __pyx_k_DataflowDistributionCounter[] = "DataflowDistributionCounter";
static const char __pyx_k_MeanDoubleAccumulator_merge[] = "MeanDoubleAccumulator.merge";
static const char __pyx_k_pyx_unpickle_AllAccumulator[] = "__pyx_unpickle_AllAccumulator";
static const char __pyx_k_pyx_unpickle_AnyAccumulator[] = "__pyx_unpickle_AnyAccumulator";
static const char __pyx_k_AllAccumulator_extract_output[] = "AllAccumulator.extract_output";
static const char __pyx_k_AnyAccumulator_extract_output[] = "AnyAccumulator.extract_output";
static const char __pyx_k_DataflowDistributionCounterFn[] = "DataflowDistributionCounterFn";
static const char __pyx_k_MaxInt64Accumulator_add_input[] = "MaxInt64Accumulator.add_input";
static const char __pyx_k_MinInt64Accumulator_add_input[] = "MinInt64Accumulator.add_input";
static const char __pyx_k_SumInt64Accumulator_add_input[] = "SumInt64Accumulator.add_input";
static const char __pyx_k_pyx_unpickle_CountAccumulator[] = "__pyx_unpickle_CountAccumulator";
static const char __pyx_k_AccumulatorCombineFn_add_input[] = "AccumulatorCombineFn.add_input";
static const char __pyx_k_AllAccumulator___reduce_cython[] = "AllAccumulator.__reduce_cython__";
static const char __pyx_k_AnyAccumulator___reduce_cython[] = "AnyAccumulator.__reduce_cython__";
static const char __pyx_k_MaxDoubleAccumulator_add_input[] = "MaxDoubleAccumulator.add_input";
static const char __pyx_k_MeanInt64Accumulator_add_input[] = "MeanInt64Accumulator.add_input";
static const char __pyx_k_MinDoubleAccumulator_add_input[] = "MinDoubleAccumulator.add_input";
static const char __pyx_k_SumDoubleAccumulator_add_input[] = "SumDoubleAccumulator.add_input";
static const char __pyx_k_pyx_unpickle_MaxDoubleAccumula[] = "__pyx_unpickle_MaxDoubleAccumulator";
static const char __pyx_k_pyx_unpickle_MaxInt64Accumulat[] = "__pyx_unpickle_MaxInt64Accumulator";
static const char __pyx_k_pyx_unpickle_MeanDoubleAccumul[] = "__pyx_unpickle_MeanDoubleAccumulator";
static const char __pyx_k_pyx_unpickle_MeanInt64Accumula[] = "__pyx_unpickle_MeanInt64Accumulator";
static const char __pyx_k_pyx_unpickle_MinDoubleAccumula[] = "__pyx_unpickle_MinDoubleAccumulator";
static const char __pyx_k_pyx_unpickle_MinInt64Accumulat[] = "__pyx_unpickle_MinInt64Accumulator";
static const char __pyx_k_pyx_unpickle_SumDoubleAccumula[] = "__pyx_unpickle_SumDoubleAccumulator";
static const char __pyx_k_pyx_unpickle_SumInt64Accumulat[] = "__pyx_unpickle_SumInt64Accumulator";
static const char __pyx_k_CountAccumulator_extract_output[] = "CountAccumulator.extract_output";
static const char __pyx_k_MaxDoubleAccumulator___setstate[] = "MaxDoubleAccumulator.__setstate_cython__";
static const char __pyx_k_MeanDoubleAccumulator_add_input[] = "MeanDoubleAccumulator.add_input";
static const char __pyx_k_MeanInt64Accumulator___setstate[] = "MeanInt64Accumulator.__setstate_cython__";
static const char __pyx_k_MinDoubleAccumulator___setstate[] = "MinDoubleAccumulator.__setstate_cython__";
static const char __pyx_k_SumDoubleAccumulator___setstate[] = "SumDoubleAccumulator.__setstate_cython__";
static const char __pyx_k_A_library_of_basic_cythonized_Co[] = "A library of basic cythonized CombineFn subclasses.\n\nFor internal use only; no backwards-compatibility guarantees.\n";
static const char __pyx_k_A_subclass_of_cy_combiners_Accum[] = "A subclass of cy_combiners.AccumulatorCombineFn.\n\n  Make DataflowDistributionCounter able to report to Dataflow service via\n  CounterFactory.\n\n  When cythonized DataflowDistributinoCounter available, make\n  CounterFn combine with cythonized module, otherwise, combine with python\n  version.\n  ";
static const char __pyx_k_AccumulatorCombineFn_create_accu[] = "AccumulatorCombineFn.create_accumulator";
static const char __pyx_k_AccumulatorCombineFn_extract_out[] = "AccumulatorCombineFn.extract_output";
static const char __pyx_k_AccumulatorCombineFn_merge_accum[] = "AccumulatorCombineFn.merge_accumulators";
static const char __pyx_k_AllAccumulator___setstate_cython[] = "AllAccumulator.__setstate_cython__";
static const char __pyx_k_AnyAccumulator___setstate_cython[] = "AnyAccumulator.__setstate_cython__";
static const char __pyx_k_CountAccumulator___reduce_cython[] = "CountAccumulator.__reduce_cython__";
static const char __pyx_k_CountAccumulator___setstate_cyth[] = "CountAccumulator.__setstate_cython__";
static const char __pyx_k_Incompatible_checksums_s_vs_0x20[] = "Incompatible checksums (%s vs 0x2063c16 = (value))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xa3[] = "Incompatible checksums (%s vs 0xa3f5598 = (count, sum))";
static const char __pyx_k_MaxDoubleAccumulator___reduce_cy[] = "MaxDoubleAccumulator.__reduce_cython__";
static const char __pyx_k_MaxDoubleAccumulator_extract_out[] = "MaxDoubleAccumulator.extract_output";
static const char __pyx_k_MaxInt64Accumulator___reduce_cyt[] = "MaxInt64Accumulator.__reduce_cython__";
static const char __pyx_k_MaxInt64Accumulator___setstate_c[] = "MaxInt64Accumulator.__setstate_cython__";
static const char __pyx_k_MaxInt64Accumulator_extract_outp[] = "MaxInt64Accumulator.extract_output";
static const char __pyx_k_MeanDoubleAccumulator___reduce_c[] = "MeanDoubleAccumulator.__reduce_cython__";
static const char __pyx_k_MeanDoubleAccumulator___setstate[] = "MeanDoubleAccumulator.__setstate_cython__";
static const char __pyx_k_MeanDoubleAccumulator_extract_ou[] = "MeanDoubleAccumulator.extract_output";
static const char __pyx_k_MeanInt64Accumulator___reduce_cy[] = "MeanInt64Accumulator.__reduce_cython__";
static const char __pyx_k_MeanInt64Accumulator_extract_out[] = "MeanInt64Accumulator.extract_output";
static const char __pyx_k_MinDoubleAccumulator___reduce_cy[] = "MinDoubleAccumulator.__reduce_cython__";
static const char __pyx_k_MinDoubleAccumulator_extract_out[] = "MinDoubleAccumulator.extract_output";
static const char __pyx_k_MinInt64Accumulator___reduce_cyt[] = "MinInt64Accumulator.__reduce_cython__";
static const char __pyx_k_MinInt64Accumulator___setstate_c[] = "MinInt64Accumulator.__setstate_cython__";
static const char __pyx_k_MinInt64Accumulator_extract_outp[] = "MinInt64Accumulator.extract_output";
static const char __pyx_k_SumDoubleAccumulator___reduce_cy[] = "SumDoubleAccumulator.__reduce_cython__";
static const char __pyx_k_SumDoubleAccumulator_extract_out[] = "SumDoubleAccumulator.extract_output";
static const char __pyx_k_SumInt64Accumulator___reduce_cyt[] = "SumInt64Accumulator.__reduce_cython__";
static const char __pyx_k_SumInt64Accumulator___setstate_c[] = "SumInt64Accumulator.__setstate_cython__";
static const char __pyx_k_SumInt64Accumulator_extract_outp[] = "SumInt64Accumulator.extract_output";
static const char __pyx_k_apache_beam_transforms_cy_combin[] = "apache_beam.transforms.cy_combiners";
static const char __pyx_k_apache_beam_transforms_cy_datafl[] = "apache_beam.transforms.cy_dataflow_distribution_counter";
static const char __pyx_k_apache_beam_transforms_py_datafl[] = "apache_beam.transforms.py_dataflow_distribution_counter";
static const char __pyx_k_apache_beam_transforms_cy_combin_2[] = "apache_beam/transforms/cy_combiners.py";
static PyObject *__pyx_n_s_63;
static PyObject *__pyx_kp_s_A_subclass_of_cy_combiners_Accum;
static PyObject *__pyx_n_s_AccumulatorCombineFn;
static PyObject *__pyx_n_s_AccumulatorCombineFn___eq;
static PyObject *__pyx_n_s_AccumulatorCombineFn___hash;
static PyObject *__pyx_n_s_AccumulatorCombineFn_add_input;
static PyObject *__pyx_n_s_AccumulatorCombineFn_create_accu;
static PyObject *__pyx_n_s_AccumulatorCombineFn_extract_out;
static PyObject *__pyx_n_s_AccumulatorCombineFn_merge_accum;
static PyObject *__pyx_n_s_AllAccumulator___reduce_cython;
static PyObject *__pyx_n_s_AllAccumulator___setstate_cython;
static PyObject *__pyx_n_s_AllAccumulator_add_input;
static PyObject *__pyx_n_s_AllAccumulator_extract_output;
static PyObject *__pyx_n_s_AllAccumulator_merge;
static PyObject *__pyx_n_s_AllCombineFn;
static PyObject *__pyx_n_s_AnyAccumulator___reduce_cython;
static PyObject *__pyx_n_s_AnyAccumulator___setstate_cython;
static PyObject *__pyx_n_s_AnyAccumulator_add_input;
static PyObject *__pyx_n_s_AnyAccumulator_extract_output;
static PyObject *__pyx_n_s_AnyAccumulator_merge;
static PyObject *__pyx_n_s_AnyCombineFn;
static PyObject *__pyx_n_s_CombineFn;
static PyObject *__pyx_n_s_CountAccumulator___reduce_cython;
static PyObject *__pyx_n_s_CountAccumulator___setstate_cyth;
static PyObject *__pyx_n_s_CountAccumulator_add_input;
static PyObject *__pyx_n_s_CountAccumulator_extract_output;
static PyObject *__pyx_n_s_CountAccumulator_merge;
static PyObject *__pyx_n_s_CountCombineFn;
static PyObject *__pyx_n_s_DataflowDistributionCounter;
static PyObject *__pyx_n_s_DataflowDistributionCounterFn;
static PyObject *__pyx_n_s_INT64_MAX;
static PyObject *__pyx_n_s_INT64_MIN;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x20;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xa3;
static PyObject *__pyx_n_s_MaxDoubleAccumulator___reduce_cy;
static PyObject *__pyx_n_s_MaxDoubleAccumulator___setstate;
static PyObject *__pyx_n_s_MaxDoubleAccumulator_add_input;
static PyObject *__pyx_n_s_MaxDoubleAccumulator_extract_out;
static PyObject *__pyx_n_s_MaxDoubleAccumulator_merge;
static PyObject *__pyx_n_s_MaxFloatFn;
static PyObject *__pyx_n_s_MaxInt64Accumulator___reduce_cyt;
static PyObject *__pyx_n_s_MaxInt64Accumulator___setstate_c;
static PyObject *__pyx_n_s_MaxInt64Accumulator_add_input;
static PyObject *__pyx_n_s_MaxInt64Accumulator_extract_outp;
static PyObject *__pyx_n_s_MaxInt64Accumulator_merge;
static PyObject *__pyx_n_s_MaxInt64Fn;
static PyObject *__pyx_n_s_MeanDoubleAccumulator___reduce_c;
static PyObject *__pyx_n_s_MeanDoubleAccumulator___setstate;
static PyObject *__pyx_n_s_MeanDoubleAccumulator_add_input;
static PyObject *__pyx_n_s_MeanDoubleAccumulator_extract_ou;
static PyObject *__pyx_n_s_MeanDoubleAccumulator_merge;
static PyObject *__pyx_n_s_MeanFloatFn;
static PyObject *__pyx_n_s_MeanInt64Accumulator___reduce_cy;
static PyObject *__pyx_n_s_MeanInt64Accumulator___setstate;
static PyObject *__pyx_n_s_MeanInt64Accumulator_add_input;
static PyObject *__pyx_n_s_MeanInt64Accumulator_extract_out;
static PyObject *__pyx_n_s_MeanInt64Accumulator_merge;
static PyObject *__pyx_n_s_MeanInt64Fn;
static PyObject *__pyx_n_s_MinDoubleAccumulator___reduce_cy;
static PyObject *__pyx_n_s_MinDoubleAccumulator___setstate;
static PyObject *__pyx_n_s_MinDoubleAccumulator_add_input;
static PyObject *__pyx_n_s_MinDoubleAccumulator_extract_out;
static PyObject *__pyx_n_s_MinDoubleAccumulator_merge;
static PyObject *__pyx_n_s_MinFloatFn;
static PyObject *__pyx_n_s_MinInt64Accumulator___reduce_cyt;
static PyObject *__pyx_n_s_MinInt64Accumulator___setstate_c;
static PyObject *__pyx_n_s_MinInt64Accumulator_add_input;
static PyObject *__pyx_n_s_MinInt64Accumulator_extract_outp;
static PyObject *__pyx_n_s_MinInt64Accumulator_merge;
static PyObject *__pyx_n_s_MinInt64Fn;
static PyObject *__pyx_n_s_NAN;
static PyObject *__pyx_n_s_NEG_INF;
static PyObject *__pyx_n_s_OverflowError;
static PyObject *__pyx_n_s_POS_INF;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_n_s_SumDoubleAccumulator___reduce_cy;
static PyObject *__pyx_n_s_SumDoubleAccumulator___setstate;
static PyObject *__pyx_n_s_SumDoubleAccumulator_add_input;
static PyObject *__pyx_n_s_SumDoubleAccumulator_extract_out;
static PyObject *__pyx_n_s_SumDoubleAccumulator_merge;
static PyObject *__pyx_n_s_SumFloatFn;
static PyObject *__pyx_n_s_SumInt64Accumulator___reduce_cyt;
static PyObject *__pyx_n_s_SumInt64Accumulator___setstate_c;
static PyObject *__pyx_n_s_SumInt64Accumulator_add_input;
static PyObject *__pyx_n_s_SumInt64Accumulator_extract_outp;
static PyObject *__pyx_n_s_SumInt64Accumulator_merge;
static PyObject *__pyx_n_s_SumInt64Fn;
static PyObject *__pyx_n_s_accumulator;
static PyObject *__pyx_n_s_accumulator_type;
static PyObject *__pyx_n_s_accumulators;
static PyObject *__pyx_n_s_add_input;
static PyObject *__pyx_n_s_apache_beam_transforms;
static PyObject *__pyx_n_s_apache_beam_transforms_cy_combin;
static PyObject *__pyx_kp_s_apache_beam_transforms_cy_combin_2;
static PyObject *__pyx_n_s_apache_beam_transforms_cy_datafl;
static PyObject *__pyx_n_s_apache_beam_transforms_py_datafl;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_core;
static PyObject *__pyx_n_s_create_accumulator;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_s_dict_2;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_element;
static PyObject *__pyx_n_s_eq;
static PyObject *__pyx_n_s_extract_output;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_hash;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_inf;
static PyObject *__pyx_kp_s_inf_2;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_merge;
static PyObject *__pyx_n_s_merge_accumulators;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_nan;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_other;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_capi;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_AllAccumulator;
static PyObject *__pyx_n_s_pyx_unpickle_AnyAccumulator;
static PyObject *__pyx_n_s_pyx_unpickle_CountAccumulator;
static PyObject *__pyx_n_s_pyx_unpickle_MaxDoubleAccumula;
static PyObject *__pyx_n_s_pyx_unpickle_MaxInt64Accumulat;
static PyObject *__pyx_n_s_pyx_unpickle_MeanDoubleAccumul;
static PyObject *__pyx_n_s_pyx_unpickle_MeanInt64Accumula;
static PyObject *__pyx_n_s_pyx_unpickle_MinDoubleAccumula;
static PyObject *__pyx_n_s_pyx_unpickle_MinInt64Accumulat;
static PyObject *__pyx_n_s_pyx_unpickle_SumDoubleAccumula;
static PyObject *__pyx_n_s_pyx_unpickle_SumInt64Accumulat;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_state;
static PyObject *__pyx_n_s_staticmethod;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_unused_element;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_use_setstate;
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20AccumulatorCombineFn_create_accumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20AccumulatorCombineFn_2add_input(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_accumulator, PyObject *__pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20AccumulatorCombineFn_4merge_accumulators(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20AccumulatorCombineFn_6extract_output(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_accumulator); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20AccumulatorCombineFn_8__eq__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20AccumulatorCombineFn_10__hash__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_16CountAccumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self, PyObject *__pyx_v_unused_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_CountAccumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self, int64_t __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_3sum___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_5count___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self, double __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self, double __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self, double __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MaxDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self, double __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_3sum___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_5count___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_14AllAccumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AllAccumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self, int __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AllAccumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AllAccumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self); /* proto */
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static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AllAccumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AllAccumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AllAccumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator___init__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_2add_input(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self, int __pyx_v_element); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_4merge(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self, PyObject *__pyx_v_accumulators); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_6extract_output(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_5value___get__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_8__reduce_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14AnyAccumulator_10__setstate_cython__(struct __pyx_obj_11apache_beam_10transforms_12cy_combiners_AnyAccumulator *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
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static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_2__pyx_unpickle_SumInt64Accumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
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static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_6__pyx_unpickle_MaxInt64Accumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_8__pyx_unpickle_MeanInt64Accumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_10__pyx_unpickle_SumDoubleAccumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_12__pyx_unpickle_MinDoubleAccumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_14__pyx_unpickle_MaxDoubleAccumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_16__pyx_unpickle_MeanDoubleAccumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_18__pyx_unpickle_AllAccumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11apache_beam_10transforms_12cy_combiners_20__pyx_unpickle_AnyAccumulator(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_CountAccumulator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_16CountAccumulator_value(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11apache_beam_10transforms_12cy_combiners_SumInt64Accumulator(PyObject *o) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_19SumInt64Accumulator_value(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11apache_beam_10transforms_12cy_combiners_MinInt64Accumulator(PyObject *o) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_19MinInt64Accumulator_value(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11apache_beam_10transforms_12cy_combiners_MaxInt64Accumulator(PyObject *o) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_19MaxInt64Accumulator_value(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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}

static void __pyx_tp_dealloc_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator(PyObject *o) {
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}

static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_sum(PyObject *o, CYTHON_UNUSED void *x) {
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}

static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_20MeanInt64Accumulator_count(PyObject *o, CYTHON_UNUSED void *x) {
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}

static PyMethodDef __pyx_methods_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator[] = {
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static struct PyGetSetDef __pyx_getsets_11apache_beam_10transforms_12cy_combiners_MeanInt64Accumulator[] = {
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static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_SumDoubleAccumulator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_20SumDoubleAccumulator_value(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MinDoubleAccumulator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_20MinDoubleAccumulator_value(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_20MaxDoubleAccumulator_value(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_tp_new_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
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static void __pyx_tp_dealloc_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator(PyObject *o) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_sum(PyObject *o, CYTHON_UNUSED void *x) {
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static PyObject *__pyx_getprop_11apache_beam_10transforms_12cy_combiners_21MeanDoubleAccumulator_count(PyObject *o, CYTHON_UNUSED void *x) {
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static PyMethodDef __pyx_methods_11apache_beam_10transforms_12cy_combiners_MeanDoubleAccumulator[] = {
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arg_passed_twice:
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invalid_keyword_type:
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invalid_keyword_type:
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    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;
}

/* 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);
}

/* 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

/* None */
      static CYTHON_INLINE int64_t __Pyx_div_int64_t(int64_t a, int64_t b) {
    int64_t q = a / b;
    int64_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

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

/* 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((0 <= wrapped_i) & (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((0 <= wrapped_i) & (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((n >= 0) & (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((n >= 0) & (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;
    }
}

/* 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;
}

/* 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 GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto 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 BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD;
            ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD;
            ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto 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_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD;
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD;
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto GOOD;
BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
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;
}

/* SaveResetException */
      #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if PY_VERSION_HEX >= 0x030700A2
    *type = tstate->exc_state.exc_type;
    *value = tstate->exc_state.exc_value;
    *tb = tstate->exc_state.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 PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = type;
    tstate->exc_state.exc_value = value;
    tstate->exc_state.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 PY_VERSION_HEX >= 0x030700A2
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = local_type;
    tstate->exc_state.exc_value = local_value;
    tstate->exc_state.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;
}

/* CalculateMetaclass */
        static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* FetchCommonType */
        static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

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

/* Py3ClassCreate */
            static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

/* PyIntBinop */
            #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a - b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

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

/* Globals */
            static PyObject* __Pyx_Globals(void) {
    Py_ssize_t i;
    PyObject *names;
    PyObject *globals = __pyx_d;
    Py_INCREF(globals);
    names = PyObject_Dir(__pyx_m);
    if (!names)
        goto bad;
    for (i = PyList_GET_SIZE(names)-1; i >= 0; i--) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject* name = PySequence_ITEM(names, i);
        if (!name)
            goto bad;
#else
        PyObject* name = PyList_GET_ITEM(names, i);
#endif
        if (!PyDict_Contains(globals, name)) {
            PyObject* value = __Pyx_GetAttr(__pyx_m, name);
            if (!value) {
#if CYTHON_COMPILING_IN_PYPY
                Py_DECREF(name);
#endif
                goto bad;
            }
            if (PyDict_SetItem(globals, name, value) < 0) {
#if CYTHON_COMPILING_IN_PYPY
                Py_DECREF(name);
#endif
                Py_DECREF(value);
                goto bad;
            }
        }
#if CYTHON_COMPILING_IN_PYPY
        Py_DECREF(name);
#endif
    }
    Py_DECREF(names);
    return globals;
bad:
    Py_XDECREF(names);
    Py_XDECREF(globals);
    return NULL;
}

/* pyobject_as_double */
            static double __Pyx__PyObject_AsDouble(PyObject* obj) {
    PyObject* float_value;
#if !CYTHON_USE_TYPE_SLOTS
    float_value = PyNumber_Float(obj);  if (0) goto bad;
#else
    PyNumberMethods *nb = Py_TYPE(obj)->tp_as_number;
    if (likely(nb) && likely(nb->nb_float)) {
        float_value = nb->nb_float(obj);
        if (likely(float_value) && unlikely(!PyFloat_Check(float_value))) {
            PyErr_Format(PyExc_TypeError,
                "__float__ returned non-float (type %.200s)",
                Py_TYPE(float_value)->tp_name);
            Py_DECREF(float_value);
            goto bad;
        }
    } else if (PyUnicode_CheckExact(obj) || PyBytes_CheckExact(obj)) {
#if PY_MAJOR_VERSION >= 3
        float_value = PyFloat_FromString(obj);
#else
        float_value = PyFloat_FromString(obj, 0);
#endif
    } else {
        PyObject* args = PyTuple_New(1);
        if (unlikely(!args)) goto bad;
        PyTuple_SET_ITEM(args, 0, obj);
        float_value = PyObject_Call((PyObject*)&PyFloat_Type, args, 0);
        PyTuple_SET_ITEM(args, 0, 0);
        Py_DECREF(args);
    }
#endif
    if (likely(float_value)) {
        double value = PyFloat_AS_DOUBLE(float_value);
        Py_DECREF(float_value);
        return value;
    }
bad:
    return (double)-1;
}

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

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

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

/* CIntToPy */
            static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int64_t(int64_t value) {
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_t) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int64_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int64_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int64_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int64_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int64_t),
                                     little, !is_unsigned);
    }
}

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

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

/* CIntFromPy */
            static CYTHON_INLINE int64_t __Pyx_PyInt_As_int64_t(PyObject *x) {
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_t) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int64_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int64_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int64_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int64_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int64_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(int64_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) >= 2 * PyLong_SHIFT) {
                            return (int64_t) (((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int64_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) >= 3 * PyLong_SHIFT) {
                            return (int64_t) (((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int64_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) >= 4 * PyLong_SHIFT) {
                            return (int64_t) (((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int64_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int64_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int64_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int64_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int64_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int64_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                            return (int64_t) (((int64_t)-1)*(((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int64_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                            return (int64_t) ((((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                            return (int64_t) (((int64_t)-1)*(((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int64_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                            return (int64_t) ((((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 4 * PyLong_SHIFT) {
                            return (int64_t) (((int64_t)-1)*(((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int64_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 4 * PyLong_SHIFT) {
                            return (int64_t) ((((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int64_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int64_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int64_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int64_t) -1;
        }
    } else {
        int64_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int64_t) -1;
        val = __Pyx_PyInt_As_int64_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int64_t");
    return (int64_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int64_t");
    return (int64_t) -1;
}

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

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

/* 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 CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* CheckBinaryVersion */
            static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

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

/* VoidPtrExport */
            static int __Pyx_ExportVoidPtr(PyObject *name, void *p, const char *sig) {
    PyObject *d;
    PyObject *cobj = 0;
    d = PyDict_GetItem(__pyx_d, __pyx_n_s_pyx_capi);
    Py_XINCREF(d);
    if (!d) {
        d = PyDict_New();
        if (!d)
            goto bad;
        if (__Pyx_PyObject_SetAttrStr(__pyx_m, __pyx_n_s_pyx_capi, d) < 0)
            goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, 0);
#else
    cobj = PyCObject_FromVoidPtrAndDesc(p, (void *)sig, 0);
#endif
    if (!cobj)
        goto bad;
    if (PyDict_SetItem(d, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(cobj);
    Py_XDECREF(d);
    return -1;
}

/* 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 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(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
