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        (PyErr_SetString(PyExc_SystemError, "null argument to internal routine"), -1) : \
        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_SetSlice(obj, a, b, value)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice assignment", (obj)->ob_type->tp_name), -1)))
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        (likely((obj)->ob_type->tp_as_mapping) ? (PySequence_DelSlice(obj, a, b)) : \
            (PyErr_Format(PyExc_TypeError, "'%.200s' object doesn't support slice deletion", (obj)->ob_type->tp_name), -1)))
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  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),((char *)(n)))
  #define __Pyx_SetAttrString(o,n,a) PyObject_SetAttrString((o),((char *)(n)),(a))
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  #define __Pyx_GetAttrString(o,n)   PyObject_GetAttrString((o),(n))
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  #define __Pyx_DOCSTR(n)  ((char *)(n))
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  #define __Pyx_NAMESTR(n) (n)
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  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
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  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
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    #define __PYX_EXTERN_C extern
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#define _USE_MATH_DEFINES
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#include <math.h>
#define __PYX_HAVE__pandas__tslib
#define __PYX_HAVE_API__pandas__tslib
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "pythread.h"
#include "numpy_helper.h"
#include "headers/stdint.h"
#include "datetime.h"
#include "datetime_helper.h"
#include "numpy/ndarrayobject.h"
#include "numpy/npy_common.h"
#include "datetime/np_datetime.h"
#include "datetime/np_datetime_strings.h"
#include "khash_python.h"
#include "period.h"
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#include <omp.h>
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/* inline attribute */
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#   else
#     define CYTHON_UNUSED
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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
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#   define CYTHON_UNUSED
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typedef struct {PyObject **p; char *s; const long n; const char* encoding; const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /*proto*/


/* Type Conversion Predeclarations */

#define __Pyx_PyBytes_FromUString(s) PyBytes_FromString((char*)s)
#define __Pyx_PyBytes_AsUString(s)   ((unsigned char*) PyBytes_AsString(s))

#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);

static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);

#if CYTHON_COMPILING_IN_CPYTHON
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))

#ifdef __GNUC__
  /* Test for GCC > 2.95 */
  #if __GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))
    #define likely(x)   __builtin_expect(!!(x), 1)
    #define unlikely(x) __builtin_expect(!!(x), 0)
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    #define likely(x)   (x)
    #define unlikely(x) (x)
  #endif /* __GNUC__ > 2 ... */
#else /* __GNUC__ */
  #define likely(x)   (x)
  #define unlikely(x) (x)
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static PyObject *__pyx_m;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

#if !defined(CYTHON_CCOMPLEX)
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    #define CYTHON_CCOMPLEX 0
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#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
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  "datetime.pxd",
  "numpy.pxd",
  "util.pxd",
  "type.pxd",
  "bool.pxd",
  "complex.pxd",
};
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
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  struct __Pyx_StructField_* fields;
  size_t size;     /* sizeof(type) */
  size_t arraysize[8]; /* length of array in each dimension */
  int ndim;
  char typegroup; /* _R_eal, _C_omplex, Signed _I_nt, _U_nsigned int, _S_truct, _P_ointer, _O_bject, c_H_ar */
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
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typedef struct {
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typedef struct {
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  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;


/* "numpy.pxd":724
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "numpy.pxd":725
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "numpy.pxd":726
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "numpy.pxd":727
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "numpy.pxd":731
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "numpy.pxd":732
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "numpy.pxd":733
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "numpy.pxd":734
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "numpy.pxd":738
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "numpy.pxd":739
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "numpy.pxd":748
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "numpy.pxd":749
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "numpy.pxd":750
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "numpy.pxd":752
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "numpy.pxd":753
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "numpy.pxd":754
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "numpy.pxd":756
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "numpy.pxd":757
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "numpy.pxd":759
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "numpy.pxd":760
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "numpy.pxd":761
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
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#if CYTHON_CCOMPLEX
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/*--- Type declarations ---*/
struct __pyx_obj_6pandas_5tslib__TSObject;
struct __pyx_obj_6pandas_5tslib__Timestamp;
struct __pyx_obj_6pandas_5tslib__NaT;

/* "numpy.pxd":763
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "numpy.pxd":764
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "numpy.pxd":765
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "numpy.pxd":767
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_opt_args_6pandas_5tslib_resolution;
struct __pyx_defaults;
typedef struct __pyx_defaults __pyx_defaults;

/* "pandas/tslib.pyx":1958
 * # period accessors
 * 
 * ctypedef int (*accessor)(int64_t ordinal, int freq) except INT32_MIN             # <<<<<<<<<<<<<<
 * 
 * def get_period_field(int code, int64_t value, int freq):
 */
typedef int (*__pyx_t_6pandas_5tslib_accessor)(__pyx_t_5numpy_int64_t, int);

/* "pandas/tslib.pyx":2023
 *     return ordinals
 * 
 * cpdef resolution(ndarray[int64_t] stamps, tz=None):             # <<<<<<<<<<<<<<
 *     cdef:
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 */
struct __pyx_opt_args_6pandas_5tslib_resolution {
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  PyObject *tz;
};
struct __pyx_defaults {
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};

/* "pandas/tslib.pyx":569
 * 
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 *     cdef:
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 */
struct __pyx_obj_6pandas_5tslib__TSObject {
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  pandas_datetimestruct dts;
  __pyx_t_5numpy_int64_t value;
  PyObject *tzinfo;
};


/* "pandas/tslib.pyx":401
 * # (see Timestamp class above). This will serve as a C extension type that
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 * cdef class _Timestamp(datetime):             # <<<<<<<<<<<<<<
 *     cdef readonly:
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 */
struct __pyx_obj_6pandas_5tslib__Timestamp {
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  PyObject *offset;
};


/* "pandas/tslib.pyx":536
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 * 
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 * 
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 */
struct __pyx_obj_6pandas_5tslib__NaT {
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/* "pandas/tslib.pyx":401
 * # (see Timestamp class above). This will serve as a C extension type that
 * # shadows the python class, where we do any heavy lifting.
 * cdef class _Timestamp(datetime):             # <<<<<<<<<<<<<<
 *     cdef readonly:
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 */

struct __pyx_vtabstruct_6pandas_5tslib__Timestamp {
  PyObject *(*_compare_outside_nanorange)(struct __pyx_obj_6pandas_5tslib__Timestamp *, PyObject *, int);
  PyObject *(*_assert_tzawareness_compat)(struct __pyx_obj_6pandas_5tslib__Timestamp *, PyObject *);
  PyObject *(*to_datetime)(struct __pyx_obj_6pandas_5tslib__Timestamp *, int __pyx_skip_dispatch);
  PyObject *(*_get_field)(struct __pyx_obj_6pandas_5tslib__Timestamp *, PyObject *, int __pyx_skip_dispatch);
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static struct __pyx_vtabstruct_6pandas_5tslib__Timestamp *__pyx_vtabptr_6pandas_5tslib__Timestamp;


/* "pandas/tslib.pyx":536
 * 
 * 
 * cdef class _NaT(_Timestamp):             # <<<<<<<<<<<<<<
 * 
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struct __pyx_vtabstruct_6pandas_5tslib__NaT {
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static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[], \
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static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
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static CYTHON_INLINE int  __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
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static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type); /*proto*/

static void __Pyx_RaiseBufferIndexError(int axis); /*proto*/

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static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb); /*proto*/

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb); /*proto*/

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause); /*proto*/

static CYTHON_INLINE long __Pyx_div_long(long, long); /* proto */

static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
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#define __Pyx_GetItemInt_List(o, i, size, to_py_func) (((size) <= sizeof(Py_ssize_t)) ? \
                                                    __Pyx_GetItemInt_List_Fast(o, i) : \
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i) {
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#define __Pyx_GetItemInt_Tuple(o, i, size, to_py_func) (((size) <= sizeof(Py_ssize_t)) ? \
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                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i) {
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely((0 <= i) & (i < PyTuple_GET_SIZE(o)))) {
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        Py_INCREF(r);
        return r;
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        PyObject *r = PyTuple_GET_ITEM(o, PyTuple_GET_SIZE(o) + i);
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#define __Pyx_GetItemInt(o, i, size, to_py_func) (((size) <= sizeof(Py_ssize_t)) ? \
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i) {
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static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *); /*proto*/

static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_mod___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t, __pyx_t_5numpy_int64_t); /* proto */

static void __Pyx_RaiseBufferFallbackError(void); /*proto*/

#define __Pyx_SetItemInt(o, i, v, size, to_py_func) (((size) <= sizeof(Py_ssize_t)) ? \
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static CYTHON_INLINE int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
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static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v) {
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            PyList_SET_ITEM(o, n, v);
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static CYTHON_INLINE int __Pyx_PySequence_Contains(PyObject* item, PyObject* seq, int eq) {
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#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
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#define UNARY_NEG_WOULD_OVERFLOW(x)            (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

static CYTHON_INLINE long __Pyx_mod_long(long, long); /* proto */

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

static CYTHON_INLINE int __Pyx_IterFinish(void); /*proto*/

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static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc);

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static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_dealloc);

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static CYTHON_INLINE npy_int32 __Pyx_PyInt_from_py_npy_int32(PyObject *);

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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
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static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject *);

static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject *);

static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject *);

static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject *);

static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject *);

static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject *);

static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject *);

static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject *);

static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject *);

static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject *);

static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject *);

static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject *);

static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject *);

static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject *);

static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject *);

static void __Pyx_WriteUnraisable(const char *name, int clineno,
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static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig); /*proto*/

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static PyObject *__Pyx_ImportModule(const char *name); /*proto*/

static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);  /*proto*/

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

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static void __Pyx_AddTraceback(const char *funcname, int c_line,
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/* Module declarations from 'cpython.buffer' */

/* Module declarations from 'cpython.ref' */

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

/* Module declarations from 'cpython.object' */

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

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/

/* Module declarations from 'cpython.version' */

/* Module declarations from 'cpython.exc' */

/* Module declarations from 'cpython.module' */

/* Module declarations from 'cpython.mem' */

/* Module declarations from 'cpython.tuple' */

/* Module declarations from 'cpython.list' */

/* Module declarations from 'cpython.sequence' */

/* Module declarations from 'cpython.mapping' */

/* Module declarations from 'cpython.iterator' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'cpython.number' */

/* Module declarations from 'cpython.int' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.bool' */
static PyTypeObject *__pyx_ptype_7cpython_4bool_bool = 0;

/* Module declarations from 'cpython.long' */

/* Module declarations from 'cpython.float' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.complex' */
static PyTypeObject *__pyx_ptype_7cpython_7complex_complex = 0;

/* Module declarations from 'cpython.string' */

/* Module declarations from 'cpython.unicode' */

/* Module declarations from 'cpython.dict' */

/* Module declarations from 'cpython.instance' */

/* Module declarations from 'cpython.function' */

/* Module declarations from 'cpython.method' */

/* Module declarations from 'cpython.weakref' */

/* Module declarations from 'cpython.getargs' */

/* Module declarations from 'cpython.pythread' */

/* Module declarations from 'cpython.pystate' */

/* Module declarations from 'cpython.cobject' */

/* Module declarations from 'cpython.oldbuffer' */

/* Module declarations from 'cpython.set' */

/* Module declarations from 'cpython.bytes' */

/* Module declarations from 'cpython.pycapsule' */

/* Module declarations from 'cpython' */

/* Module declarations from 'util' */
static CYTHON_INLINE PyObject *__pyx_f_4util_is_array(PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_4util__checknull(PyObject *); /*proto*/

/* Module declarations from 'datetime' */

/* Module declarations from 'datetime' */
static PyTypeObject *__pyx_ptype_8datetime_date = 0;
static PyTypeObject *__pyx_ptype_8datetime_datetime = 0;
static PyTypeObject *__pyx_ptype_8datetime_timedelta = 0;
static CYTHON_INLINE PyObject *__pyx_f_8datetime__string_to_dts(PyObject *, pandas_datetimestruct *); /*proto*/
static CYTHON_INLINE int __pyx_f_8datetime__cstring_to_dts(char *, int, pandas_datetimestruct *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_8datetime__dts_to_pydatetime(pandas_datetimestruct *); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_8datetime__pydatetime_to_dts(PyObject *, pandas_datetimestruct *); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_8datetime__date_to_datetime64(PyObject *, pandas_datetimestruct *); /*proto*/

/* Module declarations from 'khash' */

/* Module declarations from 'cython' */

/* Module declarations from 'pandas.tslib' */
static PyTypeObject *__pyx_ptype_6pandas_5tslib__Timestamp = 0;
static PyTypeObject *__pyx_ptype_6pandas_5tslib__NaT = 0;
static PyTypeObject *__pyx_ptype_6pandas_5tslib__TSObject = 0;
static __pyx_t_5numpy_int64_t __pyx_v_6pandas_5tslib_NPY_NAT;
static PyTypeObject *__pyx_v_6pandas_5tslib_ts_type;
static __pyx_t_5numpy_int64_t __pyx_v_6pandas_5tslib_DAY_NS;
static char __pyx_v_6pandas_5tslib_START;
static char __pyx_v_6pandas_5tslib_END;
static PyObject *__pyx_v_6pandas_5tslib_extra_fmts = 0;
static PyObject *__pyx_v_6pandas_5tslib_str_extra_fmts = 0;
static PyObject *__pyx_f_6pandas_5tslib_convert_to_tsobject(PyObject *, PyObject *); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib__tz_format(PyObject *, PyObject *); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib_get_value_box(PyArrayObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_5tslib_is_timestamp(PyObject *); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib__get_utcoffset(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE void __pyx_f_6pandas_5tslib__localize_tso(struct __pyx_obj_6pandas_5tslib__TSObject *, PyObject *); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_5tslib__is_utc(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5tslib__get_zone(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5tslib__check_dts_bounds(__pyx_t_5numpy_int64_t, pandas_datetimestruct *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5tslib__get_datetime64_nanos(PyObject *); /*proto*/
static double __pyx_f_6pandas_5tslib_total_seconds(PyObject *); /*proto*/
static PyArrayObject *__pyx_f_6pandas_5tslib__unbox_utcoffsets(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib__ensure_int64(PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__pyx_f_6pandas_5tslib_bisect_right_i8(__pyx_t_5numpy_int64_t *, __pyx_t_5numpy_int64_t, Py_ssize_t); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib__normalize_local(PyArrayObject *, PyObject *); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_6pandas_5tslib__normalized_stamp(pandas_datetimestruct *); /*proto*/
static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_6pandas_5tslib_ts_dayofweek(struct __pyx_obj_6pandas_5tslib__TSObject *); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib_normalize_date(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyArrayObject *__pyx_f_6pandas_5tslib_localize_dt64arr_to_period(PyArrayObject *, int, PyObject *); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5tslib_period_asfreq(__pyx_t_5numpy_int64_t, int, int, int, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_5numpy_int64_t __pyx_f_6pandas_5tslib_period_ordinal_to_dt64(__pyx_t_5numpy_int64_t, int, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib__period_strftime(__pyx_t_5numpy_int64_t, int, PyObject *); /*proto*/
static __pyx_t_6pandas_5tslib_accessor __pyx_f_6pandas_5tslib__get_accessor_func(int); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib_resolution(PyArrayObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6pandas_5tslib_resolution *__pyx_optional_args); /*proto*/
static CYTHON_INLINE int __pyx_f_6pandas_5tslib__reso_stamp(pandas_datetimestruct *); /*proto*/
static PyObject *__pyx_f_6pandas_5tslib__reso_local(PyArrayObject *, PyObject *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int64_t = { "int64_t", NULL, sizeof(__pyx_t_5numpy_int64_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int64_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int64_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_object = { "Python object", NULL, sizeof(PyObject *), { 0 }, 0, 'O', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t = { "int32_t", NULL, sizeof(__pyx_t_5numpy_int32_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int32_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int32_t), 0 };
#define __Pyx_MODULE_NAME "pandas.tslib"
int __pyx_module_is_main_pandas__tslib = 0;

/* Implementation of 'pandas.tslib' */
static PyObject *__pyx_builtin_NameError;
static PyObject *__pyx_builtin_property;
static PyObject *__pyx_builtin_object;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_Exception;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_lambda_funcdef_6pandas_5tslib_lambda1(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_ints_to_pydatetime(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_arr, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_2_is_tzlocal(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_4_is_fixed_offset(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp___new__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls, PyObject *__pyx_v_ts_input, PyObject *__pyx_v_offset, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_2__repr__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_4_repr_base(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_6tz(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_8freq(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_10__setstate__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_12__reduce__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_14to_period(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_16dayofweek(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_18dayofyear(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_20week(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_22quarter(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_24freqstr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_26asm8(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_28tz_localize(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_30tz_convert(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_32replace(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_kwds); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_36__defaults__(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9Timestamp_34to_pydatetime(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_warn); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_7NaTType___new__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_cls); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_7NaTType_2__repr__(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_7NaTType_4weekday(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_7NaTType_6toordinal(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_6is_timestamp_array(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_values); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_8get_value_box(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_arr, PyObject *__pyx_v_loc); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10unique_deltas(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_arr); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_12apply_offset(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_values, CYTHON_UNUSED PyObject *__pyx_v_offset); /* proto */
static Py_hash_t __pyx_pf_6pandas_5tslib_10_Timestamp___hash__(struct __pyx_obj_6pandas_5tslib__Timestamp *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_2__richcmp__(struct __pyx_obj_6pandas_5tslib__Timestamp *__pyx_v_self, PyObject *__pyx_v_other, int __pyx_v_op); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_4to_datetime(struct __pyx_obj_6pandas_5tslib__Timestamp *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_6__add__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_8__sub__(PyObject *__pyx_v_self, PyObject *__pyx_v_other); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_10_get_field(struct __pyx_obj_6pandas_5tslib__Timestamp *__pyx_v_self, PyObject *__pyx_v_field); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_5value___get__(struct __pyx_obj_6pandas_5tslib__Timestamp *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_10nanosecond___get__(struct __pyx_obj_6pandas_5tslib__Timestamp *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_10_Timestamp_6offset___get__(struct __pyx_obj_6pandas_5tslib__Timestamp *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_4_NaT___richcmp__(CYTHON_UNUSED struct __pyx_obj_6pandas_5tslib__NaT *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_other, int __pyx_v_op); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_14_delta_to_nanoseconds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_delta); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_9_TSObject_5value___get__(struct __pyx_obj_6pandas_5tslib__TSObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_16_get_utcoffset(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_tzinfo, PyObject *__pyx_v_obj); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_18get_timezone(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_20datetime_to_datetime64(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_values); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_22array_to_datetime(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_values, PyObject *__pyx_v_raise_, PyObject *__pyx_v_dayfirst, CYTHON_UNUSED PyObject *__pyx_v_format, PyObject *__pyx_v_utc); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_24cast_to_nanoseconds(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_arr); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_26pydt_to_i8(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_pydt); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_28i8_to_pydt(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_i8, CYTHON_UNUSED PyObject *__pyx_v_tzinfo); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_30tz_convert(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_vals, PyObject *__pyx_v_tz1, PyObject *__pyx_v_tz2); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_32tz_convert_single(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_val, PyObject *__pyx_v_tz1, PyObject *__pyx_v_tz2); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_34_get_transitions(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_36_get_deltas(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_38tot_seconds(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_td); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_40_unbox_utcoffsets(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_transinfo); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_42tz_localize_to_utc(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_vals, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_44build_field_sarray(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_dtindex); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_46get_time_micros(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_dtindex); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_48get_date_field(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_dtindex, PyObject *__pyx_v_field); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_50date_normalize(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_stamps, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_52dates_normalized(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_stamps, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_54isleapyear(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_year); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_56monthrange(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_year, __pyx_t_5numpy_int64_t __pyx_v_month); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_58normalize_date(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_dt); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_60dt64arr_to_periodarr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_dtarr, int __pyx_v_freq, PyObject *__pyx_v_tz); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_62periodarr_to_dt64arr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_periodarr, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_64period_asfreq(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_period_ordinal, int __pyx_v_freq1, int __pyx_v_freq2, int __pyx_v_end); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_66period_asfreq_arr(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_arr, int __pyx_v_freq1, int __pyx_v_freq2, int __pyx_v_end); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_68period_ordinal(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_y, int __pyx_v_m, int __pyx_v_d, int __pyx_v_h, int __pyx_v_min, int __pyx_v_s, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_70period_ordinal_to_dt64(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_ordinal, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_72period_format(CYTHON_UNUSED PyObject *__pyx_self, __pyx_t_5numpy_int64_t __pyx_v_value, int __pyx_v_freq, PyObject *__pyx_v_fmt); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_74get_period_field(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_code, __pyx_t_5numpy_int64_t __pyx_v_value, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_76get_period_field_arr(CYTHON_UNUSED PyObject *__pyx_self, int __pyx_v_code, PyArrayObject *__pyx_v_arr, int __pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_78extract_ordinals(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_values, PyObject *__pyx_v_freq); /* proto */
static PyObject *__pyx_pf_6pandas_5tslib_80resolution(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_stamps, PyObject *__pyx_v_tz); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static char __pyx_k_1[] = "Cannot convert a float to datetime";
static char __pyx_k_3[] = "%z";
static char __pyx_k_6[] = "<Timestamp: %s>";
static char __pyx_k_7[] = "%d-%.2d-%.2d %.2d:%.2d:%.2d";
static char __pyx_k_8[] = ".%.9d";
static char __pyx_k_9[] = ".%.6d";
static char __pyx_k_10[] = "pandas.tseries.period";
static char __pyx_k_14[] = "M8[ns]";
static char __pyx_k_16[] = "Cannot localize tz-aware Timestamp, use tz_convert for conversions";
static char __pyx_k_18[] = "Cannot convert tz-naive Timestamp, use tz_localize to localize";
static char __pyx_k_20[] = "Warning: discarding nonzero nanoseconds";
static char __pyx_k_21[] = " %%Z, tz=%s";
static char __pyx_k_22[] = ", tz=%s";
static char __pyx_k_23[] = "index out of bounds";
static char __pyx_k_26[] = "Cannot compare Timestamp with %s";
static char __pyx_k_27[] = "Cannot compare tz-naive and tz-aware timestamps";
static char __pyx_k_30[] = "Cannot add integral value to Timestamp without offset.";
static char __pyx_k_31[] = "_delta_to_nanoseconds";
static char __pyx_k_32[] = "Could not construct Timestamp from argument %s";
static char __pyx_k_33[] = "Out of bounds nanosecond timestamp: %s";
static char __pyx_k_35[] = "Array must be all same time zone";
static char __pyx_k_37[] = "Cannot mix tz-aware with tz-naive values";
static char __pyx_k_39[] = "Unrecognized value type: %s";
static char __pyx_k_42[] = "dateutil.parser";
static char __pyx_k_44[] = "Tz-aware datetime.datetime cannot be converted to datetime64 unless utc=True";
static char __pyx_k_46[] = "NumPy 1.6.1 business freq not supported";
static char __pyx_k_49[] = "First time before start of DST info";
static char __pyx_k_54[] = "_utc_transition_times";
static char __pyx_k_56[] = "Could not find pytz module";
static char __pyx_k_58[] = "NonExistentTimeError";
static char __pyx_k_66[] = "Field %s not supported";
static char __pyx_k_67[] = "bad month number 0; must be 1-12";
static char __pyx_k_69[] = "Unrecognized type: %s";
static char __pyx_k_71[] = "Frequency conversion failed";
static char __pyx_k_73[] = "Unable to convert to desired frequency.";
static char __pyx_k_75[] = "%Y";
static char __pyx_k_76[] = "%FQ%q";
static char __pyx_k_77[] = "%Y-%m";
static char __pyx_k_78[] = "%s/%s";
static char __pyx_k_79[] = "%Y-%m-%d";
static char __pyx_k_80[] = "%Y-%m-%d %H:00";
static char __pyx_k_81[] = "%Y-%m-%d %H:%M";
static char __pyx_k_82[] = "%Y-%m-%d %H:%M:%S";
static char __pyx_k_83[] = "Unknown freq: %d";
static char __pyx_k_84[] = "utf-8";
static char __pyx_k_86[] = "Unable to get quarter and year";
static char __pyx_k_88[] = "%d";
static char __pyx_k_89[] = "%.2d";
static char __pyx_k_90[] = "Unrecognized code: %s";
static char __pyx_k_91[] = "%s is wrong freq";
static char __pyx_k_92[] = "Unable to parse %s";
static char __pyx_k_93[] = "ndarray is not C contiguous";
static char __pyx_k_95[] = "ndarray is not Fortran contiguous";
static char __pyx_k_97[] = "Non-native byte order not supported";
static char __pyx_k_99[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k__B[] = "B";
static char __pyx_k__D[] = "D";
static char __pyx_k__H[] = "H";
static char __pyx_k__I[] = "I";
static char __pyx_k__L[] = "L";
static char __pyx_k__M[] = "M";
static char __pyx_k__O[] = "O";
static char __pyx_k__Q[] = "Q";
static char __pyx_k__Y[] = "Y";
static char __pyx_k__b[] = "b";
static char __pyx_k__d[] = "d";
static char __pyx_k__f[] = "f";
static char __pyx_k__g[] = "g";
static char __pyx_k__h[] = "h";
static char __pyx_k__i[] = "i";
static char __pyx_k__k[] = "k";
static char __pyx_k__l[] = "l";
static char __pyx_k__m[] = "m";
static char __pyx_k__n[] = "n";
static char __pyx_k__p[] = "p";
static char __pyx_k__q[] = "q";
static char __pyx_k__s[] = "s";
static char __pyx_k__u[] = "u";
static char __pyx_k__v[] = "v";
static char __pyx_k__y[] = "y";
static char __pyx_k_100[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_103[] = "Format string allocated too short.";
static char __pyx_k_109[] = "/home/wesm/code/pandas/pandas/tslib.pyx";
static char __pyx_k_110[] = "pandas.tslib";
static char __pyx_k_111[] = "dateutil.tz";
static char __pyx_k_174[] = "datetime_to_datetime64";
static char __pyx_k_211[] = "dt64arr_to_periodarr";
static char __pyx_k_214[] = "periodarr_to_dt64arr";
static char __pyx_k_221[] = "%q";
static char __pyx_k_222[] = "^`AB`^";
static char __pyx_k_224[] = "%f";
static char __pyx_k_225[] = "^`CD`^";
static char __pyx_k_227[] = "%F";
static char __pyx_k_228[] = "^`EF`^";
static char __pyx_k_234[] = "get_period_field_arr";
static char __pyx_k__Zd[] = "Zd";
static char __pyx_k__Zf[] = "Zf";
static char __pyx_k__Zg[] = "Zg";
static char __pyx_k__dt[] = "dt";
static char __pyx_k__i4[] = "i4";
static char __pyx_k__i8[] = "i8";
static char __pyx_k__np[] = "np";
static char __pyx_k__ns[] = "ns";
static char __pyx_k__sz[] = "sz";
static char __pyx_k__td[] = "td";
static char __pyx_k__ts[] = "ts";
static char __pyx_k__tz[] = "tz";
static char __pyx_k__us[] = "us";
static char __pyx_k__NaT[] = "NaT";
static char __pyx_k__UTC[] = "UTC";
static char __pyx_k___ts[] = "_ts";
static char __pyx_k__arr[] = "arr";
static char __pyx_k__cls[] = "cls";
static char __pyx_k__day[] = "day";
static char __pyx_k__dow[] = "dow";
static char __pyx_k__doy[] = "doy";
static char __pyx_k__dts[] = "dts";
static char __pyx_k__end[] = "end";
static char __pyx_k__fmt[] = "fmt";
static char __pyx_k__idx[] = "idx";
static char __pyx_k__inf[] = "inf";
static char __pyx_k__loc[] = "loc";
static char __pyx_k__min[] = "min";
static char __pyx_k__mus[] = "mus";
static char __pyx_k__num[] = "num";
static char __pyx_k__obj[] = "obj";
static char __pyx_k__out[] = "out";
static char __pyx_k__pos[] = "pos";
static char __pyx_k__ret[] = "ret";
static char __pyx_k__tso[] = "tso";
static char __pyx_k__tz1[] = "tz1";
static char __pyx_k__tz2[] = "tz2";
static char __pyx_k__utc[] = "utc";
static char __pyx_k__val[] = "val";
static char __pyx_k__woy[] = "woy";
static char __pyx_k__asm8[] = "asm8";
static char __pyx_k__base[] = "base";
static char __pyx_k__code[] = "code";
static char __pyx_k__days[] = "days";
static char __pyx_k__fget[] = "fget";
static char __pyx_k__fill[] = "fill";
static char __pyx_k__flat[] = "flat";
static char __pyx_k__freq[] = "freq";
static char __pyx_k__func[] = "func";
static char __pyx_k__hour[] = "hour";
static char __pyx_k__iNaT[] = "iNaT";
static char __pyx_k__kwds[] = "kwds";
static char __pyx_k__left[] = "left";
static char __pyx_k__prop[] = "prop";
static char __pyx_k__pydt[] = "pydt";
static char __pyx_k__pytz[] = "pytz";
static char __pyx_k__self[] = "self";
static char __pyx_k__side[] = "side";
static char __pyx_k__size[] = "size";
static char __pyx_k__sort[] = "sort";
static char __pyx_k__unit[] = "unit";
static char __pyx_k__vals[] = "vals";
static char __pyx_k__view[] = "view";
static char __pyx_k__warn[] = "warn";
static char __pyx_k__week[] = "week";
static char __pyx_k__year[] = "year";
static char __pyx_k__zone[] = "zone";
static char __pyx_k__apply[] = "apply";
static char __pyx_k__array[] = "array";
static char __pyx_k__boxed[] = "boxed";
static char __pyx_k__count[] = "count";
static char __pyx_k__delta[] = "delta";
static char __pyx_k__dtarr[] = "dtarr";
static char __pyx_k__dtype[] = "dtype";
static char __pyx_k__empty[] = "empty";
static char __pyx_k__field[] = "field";
static char __pyx_k__finfo[] = "finfo";
static char __pyx_k__freq1[] = "freq1";
static char __pyx_k__freq2[] = "freq2";
static char __pyx_k__hours[] = "hours";
static char __pyx_k__int32[] = "int32";
static char __pyx_k__int64[] = "int64";
static char __pyx_k__month[] = "month";
static char __pyx_k__nanos[] = "nanos";
static char __pyx_k__numpy[] = "numpy";
static char __pyx_k__parse[] = "parse";
static char __pyx_k__range[] = "range";
static char __pyx_k__ravel[] = "ravel";
static char __pyx_k__right[] = "right";
static char __pyx_k__shape[] = "shape";
static char __pyx_k__stamp[] = "stamp";
static char __pyx_k__state[] = "state";
static char __pyx_k__table[] = "table";
static char __pyx_k__tdata[] = "tdata";
static char __pyx_k__trans[] = "trans";
static char __pyx_k__tzutc[] = "tzutc";
static char __pyx_k__value[] = "value";
static char __pyx_k__years[] = "years";
static char __pyx_k__D_RESO[] = "D_RESO";
static char __pyx_k__H_RESO[] = "H_RESO";
static char __pyx_k__Period[] = "Period";
static char __pyx_k__S_RESO[] = "S_RESO";
static char __pyx_k__T_RESO[] = "T_RESO";
static char __pyx_k__astype[] = "astype";
static char __pyx_k__deltas[] = "deltas";
static char __pyx_k__encode[] = "encode";
static char __pyx_k__fields[] = "fields";
static char __pyx_k__format[] = "format";
static char __pyx_k__isleap[] = "isleap";
static char __pyx_k__micros[] = "micros";
static char __pyx_k__minute[] = "minute";
static char __pyx_k__months[] = "months";
static char __pyx_k__ntrans[] = "ntrans";
static char __pyx_k__object[] = "object";
static char __pyx_k__offset[] = "offset";
static char __pyx_k__raise_[] = "raise_";
static char __pyx_k__result[] = "result";
static char __pyx_k__second[] = "second";
static char __pyx_k__stamps[] = "stamps";
static char __pyx_k__tzinfo[] = "tzinfo";
static char __pyx_k__values[] = "values";
static char __pyx_k__NaTType[] = "NaTType";
static char __pyx_k__US_RESO[] = "US_RESO";
static char __pyx_k____add__[] = "__add__";
static char __pyx_k____mul__[] = "__mul__";
static char __pyx_k____new__[] = "__new__";
static char __pyx_k____sub__[] = "__sub__";
static char __pyx_k___du_utc[] = "_du_utc";
static char __pyx_k__dtindex[] = "dtindex";
static char __pyx_k__freqstr[] = "freqstr";
static char __pyx_k__iresult[] = "iresult";
static char __pyx_k__ivalues[] = "ivalues";
static char __pyx_k__maximum[] = "maximum";
static char __pyx_k__minutes[] = "minutes";
static char __pyx_k__ordinal[] = "ordinal";
static char __pyx_k__oresult[] = "oresult";
static char __pyx_k__quarter[] = "quarter";
static char __pyx_k__replace[] = "replace";
static char __pyx_k__seconds[] = "seconds";
static char __pyx_k__ts_base[] = "ts_base";
static char __pyx_k__tzlocal[] = "tzlocal";
static char __pyx_k__uniques[] = "uniques";
static char __pyx_k__weekday[] = "weekday";
static char __pyx_k____hash__[] = "__hash__";
static char __pyx_k____main__[] = "__main__";
static char __pyx_k____repr__[] = "__repr__";
static char __pyx_k____test__[] = "__test__";
static char __pyx_k___tzinfos[] = "_tzinfos";
static char __pyx_k__datetime[] = "datetime";
static char __pyx_k__dayfirst[] = "dayfirst";
static char __pyx_k__localize[] = "localize";
static char __pyx_k__ordinals[] = "ordinals";
static char __pyx_k__property[] = "property";
static char __pyx_k__relation[] = "relation";
static char __pyx_k__result_a[] = "result_a";
static char __pyx_k__result_b[] = "result_b";
static char __pyx_k__sa_dtype[] = "sa_dtype";
static char __pyx_k__strftime[] = "strftime";
static char __pyx_k__timezone[] = "timezone";
static char __pyx_k__ts_input[] = "ts_input";
static char __pyx_k__utc_date[] = "utc_date";
static char __pyx_k__year2000[] = "year2000";
static char __pyx_k__Exception[] = "Exception";
static char __pyx_k__NameError[] = "NameError";
static char __pyx_k__Timestamp[] = "Timestamp";
static char __pyx_k__TypeError[] = "TypeError";
static char __pyx_k__dayofweek[] = "dayofweek";
static char __pyx_k__dayofyear[] = "dayofyear";
static char __pyx_k__have_pytz[] = "have_pytz";
static char __pyx_k__normalize[] = "normalize";
static char __pyx_k__periodarr[] = "periodarr";
static char __pyx_k__timedelta[] = "timedelta";
static char __pyx_k__to_period[] = "to_period";
static char __pyx_k__toordinal[] = "toordinal";
static char __pyx_k__utc_dates[] = "utc_dates";
static char __pyx_k__utcoffset[] = "utcoffset";
static char __pyx_k__IndexError[] = "IndexError";
static char __pyx_k__ValueError[] = "ValueError";
static char __pyx_k____reduce__[] = "__reduce__";
static char __pyx_k___get_field[] = "_get_field";
static char __pyx_k___repr_base[] = "_repr_base";
static char __pyx_k___utcoffset[] = "_utcoffset";
static char __pyx_k__astimezone[] = "astimezone";
static char __pyx_k__basestring[] = "basestring";
static char __pyx_k__freq_group[] = "freq_group";
static char __pyx_k__i8_to_pydt[] = "i8_to_pydt";
static char __pyx_k__isleapyear[] = "isleapyear";
static char __pyx_k__monthrange[] = "monthrange";
static char __pyx_k__nanosecond[] = "nanosecond";
static char __pyx_k__new_values[] = "new_values";
static char __pyx_k__parse_date[] = "parse_date";
static char __pyx_k__pydt_to_i8[] = "pydt_to_i8";
static char __pyx_k__tz_convert[] = "tz_convert";
static char __pyx_k__weekofyear[] = "weekofyear";
static char __pyx_k___get_deltas[] = "_get_deltas";
static char __pyx_k___is_tzlocal[] = "_is_tzlocal";
static char __pyx_k__day_of_week[] = "day_of_week";
static char __pyx_k__idx_shifted[] = "idx_shifted";
static char __pyx_k__inferred_tz[] = "inferred_tz";
static char __pyx_k__microsecond[] = "microsecond";
static char __pyx_k__to_datetime[] = "to_datetime";
static char __pyx_k__tot_seconds[] = "tot_seconds";
static char __pyx_k__trans_cache[] = "trans_cache";
static char __pyx_k__tz_localize[] = "tz_localize";
static char __pyx_k__utc_convert[] = "utc_convert";
static char __pyx_k__RuntimeError[] = "RuntimeError";
static char __pyx_k____setstate__[] = "__setstate__";
static char __pyx_k__apply_offset[] = "apply_offset";
static char __pyx_k__get_timezone[] = "get_timezone";
static char __pyx_k__microseconds[] = "microseconds";
static char __pyx_k__object_state[] = "object_state";
static char __pyx_k__searchsorted[] = "searchsorted";
static char __pyx_k___month_offset[] = "_month_offset";
static char __pyx_k__period_format[] = "period_format";
static char __pyx_k__to_pydatetime[] = "to_pydatetime";
static char __pyx_k__unique_deltas[] = "unique_deltas";
static char __pyx_k__AttributeError[] = "AttributeError";
static char __pyx_k__date_normalize[] = "date_normalize";
static char __pyx_k__get_date_field[] = "get_date_field";
static char __pyx_k__period_ordinal[] = "period_ordinal";
static char __pyx_k__get_time_micros[] = "get_time_micros";
static char __pyx_k___get_transitions[] = "_get_transitions";
static char __pyx_k___is_fixed_offset[] = "_is_fixed_offset";
static char __pyx_k___transition_info[] = "_transition_info";
static char __pyx_k__dates_normalized[] = "dates_normalized";
static char __pyx_k__extract_ordinals[] = "extract_ordinals";
static char __pyx_k__get_period_field[] = "get_period_field";
static char __pyx_k__utc_offset_cache[] = "utc_offset_cache";
static char __pyx_k__array_to_datetime[] = "array_to_datetime";
static char __pyx_k__period_asfreq_arr[] = "period_asfreq_arr";
static char __pyx_k__tz_convert_single[] = "tz_convert_single";
static char __pyx_k__AmbiguousTimeError[] = "AmbiguousTimeError";
static char __pyx_k__build_field_sarray[] = "build_field_sarray";
static char __pyx_k__ints_to_pydatetime[] = "ints_to_pydatetime";
static char __pyx_k__is_timestamp_array[] = "is_timestamp_array";
static char __pyx_k__tz_localize_to_utc[] = "tz_localize_to_utc";
static char __pyx_k__cast_to_nanoseconds[] = "cast_to_nanoseconds";
static PyObject *__pyx_kp_s_1;
static PyObject *__pyx_n_s_10;
static PyObject *__pyx_kp_u_100;
static PyObject *__pyx_kp_u_103;
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static PyObject *__pyx_kp_u_93;
static PyObject *__pyx_kp_u_95;
static PyObject *__pyx_kp_u_97;
static PyObject *__pyx_kp_u_99;
static PyObject *__pyx_n_s__AmbiguousTimeError;
static PyObject *__pyx_n_s__AttributeError;
static PyObject *__pyx_n_s__D;
static PyObject *__pyx_n_s__D_RESO;
static PyObject *__pyx_n_s__Exception;
static PyObject *__pyx_n_s__H_RESO;
static PyObject *__pyx_n_s__IndexError;
static PyObject *__pyx_n_s__M;
static PyObject *__pyx_n_s__NaT;
static PyObject *__pyx_n_s__NaTType;
static PyObject *__pyx_n_s__NameError;
static PyObject *__pyx_n_s__Period;
static PyObject *__pyx_n_s__RuntimeError;
static PyObject *__pyx_n_s__S_RESO;
static PyObject *__pyx_n_s__T_RESO;
static PyObject *__pyx_n_s__Timestamp;
static PyObject *__pyx_n_s__TypeError;
static PyObject *__pyx_n_s__US_RESO;
static PyObject *__pyx_n_s__UTC;
static PyObject *__pyx_n_s__ValueError;
static PyObject *__pyx_n_s__Y;
static PyObject *__pyx_n_s____add__;
static PyObject *__pyx_n_s____hash__;
static PyObject *__pyx_n_s____main__;
static PyObject *__pyx_n_s____mul__;
static PyObject *__pyx_n_s____new__;
static PyObject *__pyx_n_s____reduce__;
static PyObject *__pyx_n_s____repr__;
static PyObject *__pyx_n_s____setstate__;
static PyObject *__pyx_n_s____sub__;
static PyObject *__pyx_n_s____test__;
static PyObject *__pyx_n_s___du_utc;
static PyObject *__pyx_n_s___get_deltas;
static PyObject *__pyx_n_s___get_field;
static PyObject *__pyx_n_s___get_transitions;
static PyObject *__pyx_n_s___is_fixed_offset;
static PyObject *__pyx_n_s___is_tzlocal;
static PyObject *__pyx_n_s___month_offset;
static PyObject *__pyx_n_s___repr_base;
static PyObject *__pyx_n_s___transition_info;
static PyObject *__pyx_n_s___ts;
static PyObject *__pyx_n_s___tzinfos;
static PyObject *__pyx_n_s___utcoffset;
static PyObject *__pyx_n_s__apply;
static PyObject *__pyx_n_s__apply_offset;
static PyObject *__pyx_n_s__arr;
static PyObject *__pyx_n_s__array;
static PyObject *__pyx_n_s__array_to_datetime;
static PyObject *__pyx_n_s__asm8;
static PyObject *__pyx_n_s__astimezone;
static PyObject *__pyx_n_s__astype;
static PyObject *__pyx_n_s__base;
static PyObject *__pyx_n_s__basestring;
static PyObject *__pyx_n_s__boxed;
static PyObject *__pyx_n_s__build_field_sarray;
static PyObject *__pyx_n_s__cast_to_nanoseconds;
static PyObject *__pyx_n_s__cls;
static PyObject *__pyx_n_s__code;
static PyObject *__pyx_n_s__count;
static PyObject *__pyx_n_s__d;
static PyObject *__pyx_n_s__date_normalize;
static PyObject *__pyx_n_s__dates_normalized;
static PyObject *__pyx_n_s__datetime;
static PyObject *__pyx_n_s__day;
static PyObject *__pyx_n_s__day_of_week;
static PyObject *__pyx_n_s__dayfirst;
static PyObject *__pyx_n_s__dayofweek;
static PyObject *__pyx_n_s__dayofyear;
static PyObject *__pyx_n_s__days;
static PyObject *__pyx_n_s__delta;
static PyObject *__pyx_n_s__deltas;
static PyObject *__pyx_n_s__dow;
static PyObject *__pyx_n_s__doy;
static PyObject *__pyx_n_s__dt;
static PyObject *__pyx_n_s__dtarr;
static PyObject *__pyx_n_s__dtindex;
static PyObject *__pyx_n_s__dts;
static PyObject *__pyx_n_s__dtype;
static PyObject *__pyx_n_s__empty;
static PyObject *__pyx_n_s__encode;
static PyObject *__pyx_n_s__end;
static PyObject *__pyx_n_s__extract_ordinals;
static PyObject *__pyx_n_s__f;
static PyObject *__pyx_n_s__fget;
static PyObject *__pyx_n_s__field;
static PyObject *__pyx_n_s__fields;
static PyObject *__pyx_n_s__fill;
static PyObject *__pyx_n_s__finfo;
static PyObject *__pyx_n_s__flat;
static PyObject *__pyx_n_s__fmt;
static PyObject *__pyx_n_s__format;
static PyObject *__pyx_n_s__freq;
static PyObject *__pyx_n_s__freq1;
static PyObject *__pyx_n_s__freq2;
static PyObject *__pyx_n_s__freq_group;
static PyObject *__pyx_n_s__freqstr;
static PyObject *__pyx_n_s__func;
static PyObject *__pyx_n_s__get_date_field;
static PyObject *__pyx_n_s__get_period_field;
static PyObject *__pyx_n_s__get_time_micros;
static PyObject *__pyx_n_s__get_timezone;
static PyObject *__pyx_n_s__h;
static PyObject *__pyx_n_s__have_pytz;
static PyObject *__pyx_n_s__hour;
static PyObject *__pyx_n_s__hours;
static PyObject *__pyx_n_s__i;
static PyObject *__pyx_n_s__i4;
static PyObject *__pyx_n_s__i8;
static PyObject *__pyx_n_s__i8_to_pydt;
static PyObject *__pyx_n_s__iNaT;
static PyObject *__pyx_n_s__idx;
static PyObject *__pyx_n_s__idx_shifted;
static PyObject *__pyx_n_s__inf;
static PyObject *__pyx_n_s__inferred_tz;
static PyObject *__pyx_n_s__int32;
static PyObject *__pyx_n_s__int64;
static PyObject *__pyx_n_s__ints_to_pydatetime;
static PyObject *__pyx_n_s__iresult;
static PyObject *__pyx_n_s__is_timestamp_array;
static PyObject *__pyx_n_s__isleap;
static PyObject *__pyx_n_s__isleapyear;
static PyObject *__pyx_n_s__ivalues;
static PyObject *__pyx_n_s__k;
static PyObject *__pyx_n_s__kwds;
static PyObject *__pyx_n_s__l;
static PyObject *__pyx_n_s__left;
static PyObject *__pyx_n_s__loc;
static PyObject *__pyx_n_s__localize;
static PyObject *__pyx_n_s__m;
static PyObject *__pyx_n_s__maximum;
static PyObject *__pyx_n_s__micros;
static PyObject *__pyx_n_s__microsecond;
static PyObject *__pyx_n_s__microseconds;
static PyObject *__pyx_n_s__min;
static PyObject *__pyx_n_s__minute;
static PyObject *__pyx_n_s__minutes;
static PyObject *__pyx_n_s__month;
static PyObject *__pyx_n_s__monthrange;
static PyObject *__pyx_n_s__months;
static PyObject *__pyx_n_s__mus;
static PyObject *__pyx_n_s__n;
static PyObject *__pyx_n_s__nanos;
static PyObject *__pyx_n_s__nanosecond;
static PyObject *__pyx_n_s__new_values;
static PyObject *__pyx_n_s__normalize;
static PyObject *__pyx_n_s__np;
static PyObject *__pyx_n_s__ns;
static PyObject *__pyx_n_s__ntrans;
static PyObject *__pyx_n_s__num;
static PyObject *__pyx_n_s__numpy;
static PyObject *__pyx_n_s__obj;
static PyObject *__pyx_n_s__object;
static PyObject *__pyx_n_s__object_state;
static PyObject *__pyx_n_s__offset;
static PyObject *__pyx_n_s__ordinal;
static PyObject *__pyx_n_s__ordinals;
static PyObject *__pyx_n_s__oresult;
static PyObject *__pyx_n_s__out;
static PyObject *__pyx_n_s__p;
static PyObject *__pyx_n_s__parse;
static PyObject *__pyx_n_s__parse_date;
static PyObject *__pyx_n_s__period_asfreq_arr;
static PyObject *__pyx_n_s__period_format;
static PyObject *__pyx_n_s__period_ordinal;
static PyObject *__pyx_n_s__periodarr;
static PyObject *__pyx_n_s__pos;
static PyObject *__pyx_n_s__prop;
static PyObject *__pyx_n_s__property;
static PyObject *__pyx_n_s__pydt;
static PyObject *__pyx_n_s__pydt_to_i8;
static PyObject *__pyx_n_s__pytz;
static PyObject *__pyx_n_s__q;
static PyObject *__pyx_n_s__quarter;
static PyObject *__pyx_n_s__raise_;
static PyObject *__pyx_n_s__range;
static PyObject *__pyx_n_s__ravel;
static PyObject *__pyx_n_s__relation;
static PyObject *__pyx_n_s__replace;
static PyObject *__pyx_n_s__result;
static PyObject *__pyx_n_s__result_a;
static PyObject *__pyx_n_s__result_b;
static PyObject *__pyx_n_s__ret;
static PyObject *__pyx_n_s__right;
static PyObject *__pyx_n_s__s;
static PyObject *__pyx_n_s__sa_dtype;
static PyObject *__pyx_n_s__searchsorted;
static PyObject *__pyx_n_s__second;
static PyObject *__pyx_n_s__seconds;
static PyObject *__pyx_n_s__self;
static PyObject *__pyx_n_s__shape;
static PyObject *__pyx_n_s__side;
static PyObject *__pyx_n_s__size;
static PyObject *__pyx_n_s__sort;
static PyObject *__pyx_n_s__stamp;
static PyObject *__pyx_n_s__stamps;
static PyObject *__pyx_n_s__state;
static PyObject *__pyx_n_s__strftime;
static PyObject *__pyx_n_s__sz;
static PyObject *__pyx_n_s__table;
static PyObject *__pyx_n_s__td;
static PyObject *__pyx_n_s__tdata;
static PyObject *__pyx_n_s__timedelta;
static PyObject *__pyx_n_s__timezone;
static PyObject *__pyx_n_s__to_datetime;
static PyObject *__pyx_n_s__to_period;
static PyObject *__pyx_n_s__to_pydatetime;
static PyObject *__pyx_n_s__toordinal;
static PyObject *__pyx_n_s__tot_seconds;
static PyObject *__pyx_n_s__trans;
static PyObject *__pyx_n_s__trans_cache;
static PyObject *__pyx_n_s__ts;
static PyObject *__pyx_n_s__ts_base;
static PyObject *__pyx_n_s__ts_input;
static PyObject *__pyx_n_s__tso;
static PyObject *__pyx_n_s__tz;
static PyObject *__pyx_n_s__tz1;
static PyObject *__pyx_n_s__tz2;
static PyObject *__pyx_n_s__tz_convert;
static PyObject *__pyx_n_s__tz_convert_single;
static PyObject *__pyx_n_s__tz_localize;
static PyObject *__pyx_n_s__tz_localize_to_utc;
static PyObject *__pyx_n_s__tzinfo;
static PyObject *__pyx_n_s__tzlocal;
static PyObject *__pyx_n_s__tzutc;
static PyObject *__pyx_n_s__u;
static PyObject *__pyx_n_s__unique_deltas;
static PyObject *__pyx_n_s__uniques;
static PyObject *__pyx_n_s__unit;
static PyObject *__pyx_n_s__us;
static PyObject *__pyx_n_s__utc;
static PyObject *__pyx_n_s__utc_convert;
static PyObject *__pyx_n_s__utc_date;
static PyObject *__pyx_n_s__utc_dates;
static PyObject *__pyx_n_s__utc_offset_cache;
static PyObject *__pyx_n_s__utcoffset;
static PyObject *__pyx_n_s__v;
static PyObject *__pyx_n_s__val;
static PyObject *__pyx_n_s__vals;
static PyObject *__pyx_n_s__value;
static PyObject *__pyx_n_s__values;
static PyObject *__pyx_n_s__view;
static PyObject *__pyx_n_s__warn;
static PyObject *__pyx_n_s__week;
static PyObject *__pyx_n_s__weekday;
static PyObject *__pyx_n_s__weekofyear;
static PyObject *__pyx_n_s__woy;
static PyObject *__pyx_n_s__y;
static PyObject *__pyx_n_s__year;
static PyObject *__pyx_n_s__year2000;
static PyObject *__pyx_n_s__years;
static PyObject *__pyx_n_s__zone;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_4;
static PyObject *__pyx_int_neg_1;
static PyObject *__pyx_int_15;
static PyObject *__pyx_int_24;
static PyObject *__pyx_int_31;
static PyObject *__pyx_int_59;
static PyObject *__pyx_int_60;
static PyObject *__pyx_int_90;
static PyObject *__pyx_int_91;
static PyObject *__pyx_int_120;
static PyObject *__pyx_int_121;
static PyObject *__pyx_int_151;
static PyObject *__pyx_int_152;
static PyObject *__pyx_int_181;
static PyObject *__pyx_int_182;
static PyObject *__pyx_int_212;
static PyObject *__pyx_int_213;
static PyObject *__pyx_int_243;
static PyObject *__pyx_int_244;
static PyObject *__pyx_int_273;
static PyObject *__pyx_int_274;
static PyObject *__pyx_int_304;
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static PyObject *__pyx_int_334;
static PyObject *__pyx_int_335;
static PyObject *__pyx_int_365;
static PyObject *__pyx_int_366;
static PyObject *__pyx_int_1000;
static PyObject *__pyx_int_2000;
static PyObject *__pyx_int_3600;
static PyObject *__pyx_int_6000;
static PyObject *__pyx_int_1000000;
static PyObject *__pyx_int_1000000000;
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 * 
 *             pandas_datetime_to_datetimestruct(dtindex[i], PANDAS_FR_ns, &dts)             # <<<<<<<<<<<<<<
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 * 
 *             pandas_datetime_to_datetimestruct(dtindex[i], PANDAS_FR_ns, &dts)
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        *__Pyx_BufPtrStrided1d(__pyx_t_5numpy_int32_t *, __pyx_pybuffernd_out.rcbuffer->pybuffer.buf, __pyx_t_50, __pyx_pybuffernd_out.diminfo[0].strides) = -1;
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static int __pyx_tp_traverse_6pandas_5tslib__TSObject(PyObject *o, visitproc v, void *a) {
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 * 
 * cdef inline bint _checknan(object val):             # <<<<<<<<<<<<<<
 *     return not cnp.PyArray_Check(val) and val != val
 */
  goto __pyx_L0;
  __pyx_L1_error:;
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  if (__pyx_m) {
    __Pyx_AddTraceback("init pandas.tslib", __pyx_clineno, __pyx_lineno, __pyx_filename);
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    PyErr_SetString(PyExc_ImportError, "init pandas.tslib");
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/* Runtime support code */
#if CYTHON_REFNANNY
static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) {
    PyObject *m = NULL, *p = NULL;
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    p = PyObject_GetAttrString(m, (char *)"RefNannyAPI");
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static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name) {
    PyObject *result;
    result = PyObject_GetAttr(dict, name);
    if (!result) {
        if (dict != __pyx_b) {
            PyErr_Clear();
            result = PyObject_GetAttr(__pyx_b, name);
        }
        if (!result) {
            PyErr_SetObject(PyExc_NameError, name);
        }
    }
    return result;
}

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

static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%s() got an unexpected keyword argument '%s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%s() takes %s %" CYTHON_FORMAT_SSIZE_T "d positional argument%s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (!type) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (Py_TYPE(obj) == type) return 1;
    }
    else {
        if (PyObject_TypeCheck(obj, type)) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%s' has incorrect type (expected %s, got %s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

static CYTHON_INLINE int __Pyx_IsLittleEndian(void) {
  unsigned int n = 1;
  return *(unsigned char*)(&n) != 0;
}
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t < '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1) /* First char was not a digit */
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
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/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
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      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
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        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count; /* Consume from buffer string */
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break; /* breaks both loops as ctx->enc_count == 0 */
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue; /* empty struct */
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static CYTHON_INLINE PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        if (isspace(*ts))
            continue;
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
                return ts;
      case ' ':
      case 10:
      case 13:
        ++ts;
        break;
      case '<':
        if (!__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T': /* substruct */
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}': /* end of substruct; either repeat or move on */
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0; /* Erase processed last struct element */
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }        /* fall through */
      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 's': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
        } else {
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_count = ctx->new_count;
          ctx->enc_packmode = ctx->new_packmode;
          ctx->enc_type = *ts;
          ctx->is_complex = got_Z;
        }
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}
static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static CYTHON_INLINE int __Pyx_GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  if (obj == Py_None || obj == NULL) {
    __Pyx_ZeroBuffer(buf);
    return 0;
  }
  buf->buf = NULL;
  if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
  if (buf->ndim != nd) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if ((unsigned)buf->itemsize != dtype->size) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_ZeroBuffer(buf);
  return -1;
}
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(PyObject_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

static void __Pyx_RaiseBufferIndexError(int axis) {
  PyErr_Format(PyExc_IndexError,
     "Out of bounds on buffer access (axis %d)", axis);
}

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    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);
#else
    PyErr_Restore(type, value, tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(type, value, tb);
#endif
}

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    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_COMPILING_IN_CPYTHON
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
        goto bad;
    #endif
    Py_INCREF(local_type);
    Py_INCREF(local_value);
    Py_INCREF(local_tb);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    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;
    /* Make sure tstate is in a consistent state when we XDECREF
       these objects (DECREF may run arbitrary code). */
    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;
}

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    #if PY_VERSION_HEX < 0x02050000
    if (PyClass_Check(type)) {
    #else
    if (PyType_Check(type)) {
    #endif
#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;
        #if PY_VERSION_HEX < 0x02050000
            if (PyInstance_Check(type)) {
                type = (PyObject*) ((PyInstanceObject*)type)->in_class;
                Py_INCREF(type);
            }
            else {
                type = 0;
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception must be an old-style class or instance");
                goto raise_error;
            }
        #else
            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;
            }
        #endif
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else /* Python 3+ */
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 *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 = PyEval_CallObject(type, args);
        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 && cause != Py_None) {
        PyObject *fixed_cause;
        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) {
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
    long q = a / b;
    long r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = PyObject_GetAttr(o, n);
    if (!r) {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError))
            goto bad;
        PyErr_Clear();
        r = d;
        Py_INCREF(d);
    }
    return r;
bad:
    return NULL;
}

static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_mod___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t a, __pyx_t_5numpy_int64_t b) {
    __pyx_t_5numpy_int64_t r = a % b;
    r += ((r != 0) & ((r ^ b) < 0)) * b;
    return r;
}

static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_Format(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
    Py_ssize_t q = a / b;
    Py_ssize_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_div___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t a, __pyx_t_5numpy_int64_t b) {
    __pyx_t_5numpy_int64_t q = a / b;
    __pyx_t_5numpy_int64_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

static CYTHON_INLINE long __Pyx_mod_long(long a, long b) {
    long r = a % b;
    r += ((r != 0) & ((r ^ b) < 0)) * b;
    return r;
}

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

static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%s to unpack",
                 index, (index == 1) ? "" : "s");
}

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

static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(exc_type == PyExc_StopIteration) || PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration)) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_dealloc != current_tp_dealloc)
        type = type->tp_base;
    if (type && type->tp_base)
        type->tp_base->tp_dealloc(obj);
}

static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_traverse != current_tp_traverse)
        type = type->tp_base;
    if (type && type->tp_base && type->tp_base->tp_traverse)
        return type->tp_base->tp_traverse(obj, v, a);
    return 0;
}

static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_clear != current_tp_clear)
        type = type->tp_base;
    if (type && type->tp_base && type->tp_base->tp_clear)
        type->tp_base->tp_clear(obj);
}

static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
#else
    PyErr_GetExcInfo(type, value, tb);
#endif
}
static void __Pyx_ExceptionReset(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    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;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(type, value, tb);
#endif
}

static CYTHON_INLINE PyObject *__Pyx_PyInt_to_py_npy_int64(npy_int64 val) {
    const npy_int64 neg_one = (npy_int64)-1, const_zero = (npy_int64)0;
    const int is_unsigned = const_zero < neg_one;
    if ((sizeof(npy_int64) == sizeof(char))  ||
        (sizeof(npy_int64) == sizeof(short))) {
        return PyInt_FromLong((long)val);
    } else if ((sizeof(npy_int64) == sizeof(int)) ||
               (sizeof(npy_int64) == sizeof(long))) {
        if (is_unsigned)
            return PyLong_FromUnsignedLong((unsigned long)val);
        else
            return PyInt_FromLong((long)val);
    } else if (sizeof(npy_int64) == sizeof(PY_LONG_LONG)) {
        if (is_unsigned)
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG)val);
        else
            return PyLong_FromLongLong((PY_LONG_LONG)val);
    } else {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int64),
                                     little, !is_unsigned);
    }
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    CYTHON_UNUSED PyObject *getbuffer_cobj;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict &&
        (getbuffer_cobj = PyMapping_GetItemString(obj->ob_type->tp_dict,
                                             "__pyx_getbuffer"))) {
        getbufferproc func;
      #if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION == 3 && PY_MINOR_VERSION == 0)
        func = (getbufferproc) PyCapsule_GetPointer(getbuffer_cobj, "getbuffer(obj, view, flags)");
      #else
        func = (getbufferproc) PyCObject_AsVoidPtr(getbuffer_cobj);
      #endif
        Py_DECREF(getbuffer_cobj);
        if (!func)
            goto fail;
        return func(obj, view, flags);
    } else {
        PyErr_Clear();
    }
  #endif
    PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    CYTHON_UNUSED PyObject *releasebuffer_cobj;
    if (!obj) return;
  #if PY_VERSION_HEX >= 0x02060000
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
  #endif
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
  #if PY_VERSION_HEX < 0x02060000
    if (obj->ob_type->tp_dict &&
        (releasebuffer_cobj = PyMapping_GetItemString(obj->ob_type->tp_dict,
                                                      "__pyx_releasebuffer"))) {
        releasebufferproc func;
      #if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION == 3 && PY_MINOR_VERSION == 0)
        func = (releasebufferproc) PyCapsule_GetPointer(releasebuffer_cobj, "releasebuffer(obj, view)");
      #else
        func = (releasebufferproc) PyCObject_AsVoidPtr(releasebuffer_cobj);
      #endif
        Py_DECREF(releasebuffer_cobj);
        if (!func)
            goto fail;
        func(obj, view);
        return;
    } else {
        PyErr_Clear();
    }
  #endif
    goto nofail;
#if PY_VERSION_HEX < 0x02060000
fail:
#endif
    PyErr_WriteUnraisable(obj);
nofail:
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif /*  PY_MAJOR_VERSION < 3 */


    static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, long level) {
    PyObject *py_import = 0;
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    py_import = __Pyx_GetAttrString(__pyx_b, "__import__");
    if (!py_import)
        goto bad;
    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_VERSION_HEX >= 0x02050000
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                /* try package relative import first */
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0; /* try absolute import on failure */
        }
        #endif
        if (!module) {
            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
    if (level>0) {
        PyErr_SetString(PyExc_RuntimeError, "Relative import is not supported for Python <=2.4.");
        goto bad;
    }
    module = PyObject_CallFunctionObjArgs(py_import,
        name, global_dict, empty_dict, list, NULL);
    #endif
bad:
    Py_XDECREF(empty_list);
    Py_XDECREF(py_import);
    Py_XDECREF(empty_dict);
    return module;
}

static CYTHON_INLINE void __Pyx_RaiseImportError(PyObject *name) {
#if PY_MAJOR_VERSION < 3
    PyErr_Format(PyExc_ImportError, "cannot import name %.230s",
                 PyString_AsString(name));
#else
    PyErr_Format(PyExc_ImportError, "cannot import name %S", name);
#endif
}

static PyObject *__Pyx_FindPy2Metaclass(PyObject *bases) {
    PyObject *metaclass;
#if PY_MAJOR_VERSION < 3
    if (PyTuple_Check(bases) && PyTuple_GET_SIZE(bases) > 0) {
        PyObject *base = PyTuple_GET_ITEM(bases, 0);
        metaclass = PyObject_GetAttrString(base, (char *)"__class__");
        if (!metaclass) {
            PyErr_Clear();
            metaclass = (PyObject*) Py_TYPE(base);
        }
    } else {
        metaclass = (PyObject *) &PyClass_Type;
    }
#else
    if (PyTuple_Check(bases) && PyTuple_GET_SIZE(bases) > 0) {
        PyObject *base = PyTuple_GET_ITEM(bases, 0);
        metaclass = (PyObject*) Py_TYPE(base);
    } else {
        metaclass = (PyObject *) &PyType_Type;
    }
#endif
    Py_INCREF(metaclass);
    return metaclass;
}

static PyObject *__Pyx_CreateClass(PyObject *bases, PyObject *dict, PyObject *name,
                                   PyObject *modname) {
    PyObject *result;
    PyObject *metaclass;
    if (PyDict_SetItemString(dict, "__module__", modname) < 0)
        return NULL;
    metaclass = PyDict_GetItemString(dict, "__metaclass__");
    if (metaclass) {
        Py_INCREF(metaclass);
    } else {
        metaclass = __Pyx_FindPy2Metaclass(bases);
    }
    result = PyObject_CallFunctionObjArgs(metaclass, name, bases, dict, NULL);
    Py_DECREF(metaclass);
    return result;
}

static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (op->func_doc == NULL && 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 (op->func_doc == 0) {
        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)
        op->func_doc = Py_None; /* Mark as deleted */
    else
        op->func_doc = value;
    Py_INCREF(op->func_doc);
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op)
{
    if (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
    }
    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 (value == NULL || !PyUnicode_Check(value)) {
#else
    if (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_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 (op->func_dict == NULL) {
        op->func_dict = PyDict_New();
        if (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 (value == NULL) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (!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(CYTHON_UNUSED __pyx_CyFunctionObject *op)
{
    PyObject* dict = PyModule_GetDict(__pyx_m);
    Py_XINCREF(dict);
    return dict;
}
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 PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op)
{
    if (op->defaults_tuple) {
        Py_INCREF(op->defaults_tuple);
        return op->defaults_tuple;
    }
    if (op->defaults_getter) {
        PyObject *res = op->defaults_getter((PyObject *) op);
        if (res) {
            Py_INCREF(res);
            op->defaults_tuple = res;
        }
        return res;
    }
    Py_INCREF(Py_None);
    return Py_None;
}
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 *) "__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, 0, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, 0, 0, 0},
    {0, 0, 0, 0, 0}
};
#ifndef PY_WRITE_RESTRICTED /* < Py2.5 */
#define PY_WRITE_RESTRICTED WRITE_RESTRICTED
#endif
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(__pyx_CyFunctionObject, func.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[] = {
    {__Pyx_NAMESTR("__reduce__"), (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
static PyObject *__Pyx_CyFunction_New(PyTypeObject *type, PyMethodDef *ml, int flags,
                                      PyObject *closure, PyObject *module, PyObject* code) {
    __pyx_CyFunctionObject *op = PyObject_GC_New(__pyx_CyFunctionObject, type);
    if (op == NULL)
        return NULL;
    op->flags = flags;
    op->func_weakreflist = 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;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_getter = 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_doc);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyMem_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    if (m->func_weakreflist != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(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_doc);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    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 PyMethod_New(func,
                            type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
    return PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
    PyObject *func_name = __Pyx_CyFunction_get_name(op);
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                func_name, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(func_name), (void *)op);
#endif
}
#if CYTHON_COMPILING_IN_PYPY
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    Py_ssize_t size;
    switch (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST)) {
    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 (size == 0)
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%zd 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 (size == 1)
                return (*meth)(self, PyTuple_GET_ITEM(arg, 0));
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%zd 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;
}
#else
static PyObject * __Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
	return PyCFunction_Call(func, arg, kw);
}
#endif
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    __Pyx_NAMESTR("cython_function_or_method"), /*tp_name*/
    sizeof(__pyx_CyFunctionObject),   /*tp_basicsize*/
    0,                                  /*tp_itemsize*/
    (destructor) __Pyx_CyFunction_dealloc, /*tp_dealloc*/
    0,                                  /*tp_print*/
    0,                                  /*tp_getattr*/
    0,                                  /*tp_setattr*/
#if PY_MAJOR_VERSION < 3
    0,                                  /*tp_compare*/
#else
    0,                                  /*reserved*/
#endif
    (reprfunc) __Pyx_CyFunction_repr,   /*tp_repr*/
    0,                                  /*tp_as_number*/
    0,                                  /*tp_as_sequence*/
    0,                                  /*tp_as_mapping*/
    0,                                  /*tp_hash*/
    __Pyx_CyFunction_Call,              /*tp_call*/
    0,                                  /*tp_str*/
    0,                                  /*tp_getattro*/
    0,                                  /*tp_setattro*/
    0,                                  /*tp_as_buffer*/
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC, /* tp_flags*/
    0,                                  /*tp_doc*/
    (traverseproc) __Pyx_CyFunction_traverse,   /*tp_traverse*/
    (inquiry) __Pyx_CyFunction_clear,   /*tp_clear*/
    0,                                  /*tp_richcompare*/
    offsetof(__pyx_CyFunctionObject, func_weakreflist), /* tp_weaklistoffse */
    0,                                  /*tp_iter*/
    0,                                  /*tp_iternext*/
    __pyx_CyFunction_methods,           /*tp_methods*/
    __pyx_CyFunction_members,           /*tp_members*/
    __pyx_CyFunction_getsets,           /*tp_getset*/
    0,                                  /*tp_base*/
    0,                                  /*tp_dict*/
    __Pyx_CyFunction_descr_get,         /*tp_descr_get*/
    0,                                  /*tp_descr_set*/
    offsetof(__pyx_CyFunctionObject, func_dict),/*tp_dictoffset*/
    0,                                  /*tp_init*/
    0,                                  /*tp_alloc*/
    0,                                  /*tp_new*/
    0,                                  /*tp_free*/
    0,                                  /*tp_is_gc*/
    0,                                  /*tp_bases*/
    0,                                  /*tp_mro*/
    0,                                  /*tp_cache*/
    0,                                  /*tp_subclasses*/
    0,                                  /*tp_weaklist*/
    0,                                  /*tp_del*/
#if PY_VERSION_HEX >= 0x02060000
    0,                                  /*tp_version_tag*/
#endif
};
static int __Pyx_CyFunction_init(void) {
#if !CYTHON_COMPILING_IN_PYPY
    __pyx_CyFunctionType_type.tp_call = PyCFunction_Call;
#endif
    if (PyType_Ready(&__pyx_CyFunctionType_type) < 0)
        return -1;
    __pyx_CyFunctionType = &__pyx_CyFunctionType_type;
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyMem_Malloc(size);
    if (!m->defaults)
        return PyErr_NoMemory();
    memset(m->defaults, 0, sizeof(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 npy_int64 __Pyx_PyInt_from_py_npy_int64(PyObject* x) {
    const npy_int64 neg_one = (npy_int64)-1, const_zero = (npy_int64)0;
    const int is_unsigned = const_zero < neg_one;
    if (sizeof(npy_int64) == sizeof(char)) {
        if (is_unsigned)
            return (npy_int64)__Pyx_PyInt_AsUnsignedChar(x);
        else
            return (npy_int64)__Pyx_PyInt_AsSignedChar(x);
    } else if (sizeof(npy_int64) == sizeof(short)) {
        if (is_unsigned)
            return (npy_int64)__Pyx_PyInt_AsUnsignedShort(x);
        else
            return (npy_int64)__Pyx_PyInt_AsSignedShort(x);
    } else if (sizeof(npy_int64) == sizeof(int)) {
        if (is_unsigned)
            return (npy_int64)__Pyx_PyInt_AsUnsignedInt(x);
        else
            return (npy_int64)__Pyx_PyInt_AsSignedInt(x);
    } else if (sizeof(npy_int64) == sizeof(long)) {
        if (is_unsigned)
            return (npy_int64)__Pyx_PyInt_AsUnsignedLong(x);
        else
            return (npy_int64)__Pyx_PyInt_AsSignedLong(x);
    } else if (sizeof(npy_int64) == sizeof(PY_LONG_LONG)) {
        if (is_unsigned)
            return (npy_int64)__Pyx_PyInt_AsUnsignedLongLong(x);
        else
            return (npy_int64)__Pyx_PyInt_AsSignedLongLong(x);
    }  else {
        #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
        PyErr_SetString(PyExc_RuntimeError,
                        "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
        #else
        npy_int64 val;
        PyObject *v = __Pyx_PyNumber_Int(x);
        #if PY_VERSION_HEX < 0x03000000
        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 (npy_int64)-1;
    }
}

static CYTHON_INLINE PyObject *__Pyx_PyInt_to_py_npy_int32(npy_int32 val) {
    const npy_int32 neg_one = (npy_int32)-1, const_zero = (npy_int32)0;
    const int is_unsigned = const_zero < neg_one;
    if ((sizeof(npy_int32) == sizeof(char))  ||
        (sizeof(npy_int32) == sizeof(short))) {
        return PyInt_FromLong((long)val);
    } else if ((sizeof(npy_int32) == sizeof(int)) ||
               (sizeof(npy_int32) == sizeof(long))) {
        if (is_unsigned)
            return PyLong_FromUnsignedLong((unsigned long)val);
        else
            return PyInt_FromLong((long)val);
    } else if (sizeof(npy_int32) == sizeof(PY_LONG_LONG)) {
        if (is_unsigned)
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG)val);
        else
            return PyLong_FromLongLong((PY_LONG_LONG)val);
    } else {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&val;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int32),
                                     little, !is_unsigned);
    }
}

#if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static PyObject *__Pyx_GetStdout(void) {
    PyObject *f = PySys_GetObject((char *)"stdout");
    if (!f) {
        PyErr_SetString(PyExc_RuntimeError, "lost sys.stdout");
    }
    return f;
}
static int __Pyx_Print(PyObject* f, PyObject *arg_tuple, int newline) {
    int i;
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    for (i=0; i < PyTuple_GET_SIZE(arg_tuple); i++) {
        PyObject* v;
        if (PyFile_SoftSpace(f, 1)) {
            if (PyFile_WriteString(" ", f) < 0)
                goto error;
        }
        v = PyTuple_GET_ITEM(arg_tuple, i);
        if (PyFile_WriteObject(v, f, Py_PRINT_RAW) < 0)
            goto error;
        if (PyString_Check(v)) {
            char *s = PyString_AsString(v);
            Py_ssize_t len = PyString_Size(v);
            if (len > 0 &&
                isspace(Py_CHARMASK(s[len-1])) &&
                s[len-1] != ' ')
                    PyFile_SoftSpace(f, 0);
        }
    }
    if (newline) {
        if (PyFile_WriteString("\n", f) < 0)
            goto error;
        PyFile_SoftSpace(f, 0);
    }
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
}
#else /* Python 3 has a print function */
static int __Pyx_Print(PyObject* stream, PyObject *arg_tuple, int newline) {
    PyObject* kwargs = 0;
    PyObject* result = 0;
    PyObject* end_string;
    if (unlikely(!__pyx_print)) {
        __pyx_print = __Pyx_GetAttrString(__pyx_b, "print");
        if (!__pyx_print)
            return -1;
    }
    if (stream) {
        kwargs = PyDict_New();
        if (unlikely(!kwargs))
            return -1;
        if (unlikely(PyDict_SetItemString(kwargs, "file", stream) < 0))
            goto bad;
        if (!newline) {
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                goto bad;
            if (PyDict_SetItemString(kwargs, "end", end_string) < 0) {
                Py_DECREF(end_string);
                goto bad;
            }
            Py_DECREF(end_string);
        }
    } else if (!newline) {
        if (unlikely(!__pyx_print_kwargs)) {
            __pyx_print_kwargs = PyDict_New();
            if (unlikely(!__pyx_print_kwargs))
                return -1;
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                return -1;
            if (PyDict_SetItemString(__pyx_print_kwargs, "end", end_string) < 0) {
                Py_DECREF(end_string);
                return -1;
            }
            Py_DECREF(end_string);
        }
        kwargs = __pyx_print_kwargs;
    }
    result = PyObject_Call(__pyx_print, arg_tuple, kwargs);
    if (unlikely(kwargs) && (kwargs != __pyx_print_kwargs))
        Py_DECREF(kwargs);
    if (!result)
        return -1;
    Py_DECREF(result);
    return 0;
bad:
    if (kwargs != __pyx_print_kwargs)
        Py_XDECREF(kwargs);
    return -1;
}
#endif

#if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static int __Pyx_PrintOne(PyObject* f, PyObject *o) {
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    if (PyFile_SoftSpace(f, 0)) {
        if (PyFile_WriteString(" ", f) < 0)
            goto error;
    }
    if (PyFile_WriteObject(o, f, Py_PRINT_RAW) < 0)
        goto error;
    if (PyFile_WriteString("\n", f) < 0)
        goto error;
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
    /* the line below is just to avoid C compiler
     * warnings about unused functions */
    return __Pyx_Print(f, NULL, 0);
}
#else /* Python 3 has a print function */
static int __Pyx_PrintOne(PyObject* stream, PyObject *o) {
    int res;
    PyObject* arg_tuple = PyTuple_Pack(1, o);
    if (unlikely(!arg_tuple))
        return -1;
    res = __Pyx_Print(stream, arg_tuple, 1);
    Py_DECREF(arg_tuple);
    return res;
}
#endif

static CYTHON_INLINE npy_int32 __Pyx_PyInt_from_py_npy_int32(PyObject* x) {
    const npy_int32 neg_one = (npy_int32)-1, const_zero = (npy_int32)0;
    const int is_unsigned = const_zero < neg_one;
    if (sizeof(npy_int32) == sizeof(char)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedChar(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedChar(x);
    } else if (sizeof(npy_int32) == sizeof(short)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedShort(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedShort(x);
    } else if (sizeof(npy_int32) == sizeof(int)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedInt(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedInt(x);
    } else if (sizeof(npy_int32) == sizeof(long)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedLong(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedLong(x);
    } else if (sizeof(npy_int32) == sizeof(PY_LONG_LONG)) {
        if (is_unsigned)
            return (npy_int32)__Pyx_PyInt_AsUnsignedLongLong(x);
        else
            return (npy_int32)__Pyx_PyInt_AsSignedLongLong(x);
    }  else {
        #if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
        PyErr_SetString(PyExc_RuntimeError,
                        "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
        #else
        npy_int32 val;
        PyObject *v = __Pyx_PyNumber_Int(x);
        #if PY_VERSION_HEX < 0x03000000
        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 (npy_int32)-1;
    }
}

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

static CYTHON_INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
    const unsigned char neg_one = (unsigned char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned char" :
                    "value too large to convert to unsigned char");
            }
            return (unsigned char)-1;
        }
        return (unsigned char)val;
    }
    return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
    const unsigned short neg_one = (unsigned short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned short" :
                    "value too large to convert to unsigned short");
            }
            return (unsigned short)-1;
        }
        return (unsigned short)val;
    }
    return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
    const unsigned int neg_one = (unsigned int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(unsigned int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to unsigned int" :
                    "value too large to convert to unsigned int");
            }
            return (unsigned int)-1;
        }
        return (unsigned int)val;
    }
    return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
}

static CYTHON_INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
    const char neg_one = (char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to char" :
                    "value too large to convert to char");
            }
            return (char)-1;
        }
        return (char)val;
    }
    return (char)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
    const short neg_one = (short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to short" :
                    "value too large to convert to short");
            }
            return (short)-1;
        }
        return (short)val;
    }
    return (short)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
    const signed char neg_one = (signed char)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed char)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed char" :
                    "value too large to convert to signed char");
            }
            return (signed char)-1;
        }
        return (signed char)val;
    }
    return (signed char)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
    const signed short neg_one = (signed short)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed short)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed short" :
                    "value too large to convert to signed short");
            }
            return (signed short)-1;
        }
        return (signed short)val;
    }
    return (signed short)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
    const signed int neg_one = (signed int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(signed int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to signed int" :
                    "value too large to convert to signed int");
            }
            return (signed int)-1;
        }
        return (signed int)val;
    }
    return (signed int)__Pyx_PyInt_AsSignedLong(x);
}

static CYTHON_INLINE int __Pyx_PyInt_AsLongDouble(PyObject* x) {
    const int neg_one = (int)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (!unlikely(val == -1 && PyErr_Occurred())) {
                PyErr_SetString(PyExc_OverflowError,
                    (is_unsigned && unlikely(val < 0)) ?
                    "can't convert negative value to int" :
                    "value too large to convert to int");
            }
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
    const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return (unsigned long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned long");
                return (unsigned long)-1;
            }
            return (unsigned long)PyLong_AsUnsignedLong(x);
        } else {
            return (unsigned long)PyLong_AsLong(x);
        }
    } else {
        unsigned long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned long)-1;
        val = __Pyx_PyInt_AsUnsignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
    const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned PY_LONG_LONG");
            return (unsigned PY_LONG_LONG)-1;
        }
        return (unsigned PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned PY_LONG_LONG");
                return (unsigned PY_LONG_LONG)-1;
            }
            return (unsigned PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (unsigned PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        unsigned PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
    const long neg_one = (long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to long");
            return (long)-1;
        }
        return (long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to long");
                return (long)-1;
            }
            return (long)PyLong_AsUnsignedLong(x);
        } else {
            return (long)PyLong_AsLong(x);
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long)-1;
        val = __Pyx_PyInt_AsLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
    const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to PY_LONG_LONG");
            return (PY_LONG_LONG)-1;
        }
        return (PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to PY_LONG_LONG");
                return (PY_LONG_LONG)-1;
            }
            return (PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
    const signed long neg_one = (signed long)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed long");
            return (signed long)-1;
        }
        return (signed long)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed long");
                return (signed long)-1;
            }
            return (signed long)PyLong_AsUnsignedLong(x);
        } else {
            return (signed long)PyLong_AsLong(x);
        }
    } else {
        signed long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed long)-1;
        val = __Pyx_PyInt_AsSignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
    const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (is_unsigned && unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to signed PY_LONG_LONG");
            return (signed PY_LONG_LONG)-1;
        }
        return (signed PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
            if (unlikely(Py_SIZE(x) < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to signed PY_LONG_LONG");
                return (signed PY_LONG_LONG)-1;
            }
            return (signed PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
        } else {
            return (signed PY_LONG_LONG)PyLong_AsLongLong(x);
        }
    } else {
        signed PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsSignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
}

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);
        #if PY_VERSION_HEX < 0x02050000
        return PyErr_Warn(NULL, message);
        #else
        return PyErr_WarnEx(NULL, message, 1);
        #endif
    }
    return 0;
}

static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(__pyx_m, (char *)"__pyx_capi__");
    if (!d) {
        PyErr_Clear();
        d = PyDict_New();
        if (!d)
            goto bad;
        Py_INCREF(d);
        if (PyModule_AddObject(__pyx_m, (char *)"__pyx_capi__", d) < 0)
            goto bad;
    }
    tmp.fp = f;
#if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
    cobj = PyCapsule_New(tmp.p, sig, 0);
#else
    cobj = PyCObject_FromVoidPtrAndDesc(tmp.p, (void *)sig, 0);
#endif
    if (!cobj)
        goto bad;
    if (PyDict_SetItemString(d, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(cobj);
    Py_XDECREF(d);
    return -1;
}

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%s.%s is not a type object",
            module_name, class_name);
        goto bad;
    }
    if (!strict && (size_t)((PyTypeObject *)result)->tp_basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        #if PY_VERSION_HEX < 0x02050000
        if (PyErr_Warn(NULL, warning) < 0) goto bad;
        #else
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
        #endif
    }
    else if ((size_t)((PyTypeObject *)result)->tp_basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%s.%s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000 && !(PY_MAJOR_VERSION==3&&PY_MINOR_VERSION==0)
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItemString(dict, "__pyx_vtable__", ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

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) / 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, 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);
}

#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,            /*int argcount,*/
        0,            /*int kwonlyargcount,*/
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        __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,      /*int firstlineno,*/
        __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;
    PyObject *py_globals = 0;
    PyFrameObject *py_frame = 0;
    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_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        py_globals,          /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

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  /* Python 3+ has unicode identifiers */
        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;
        ++t;
    }
    return 0;
}


/* Type Conversion Functions */

static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}

static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_VERSION_HEX < 0x03000000
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return Py_INCREF(x), x;
  m = Py_TYPE(x)->tp_as_number;
#if PY_VERSION_HEX < 0x03000000
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_VERSION_HEX < 0x03000000
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%s__ returned non-%s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  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 = 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) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}

static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
   unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
   if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
       return (size_t)-1;
   } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
       PyErr_SetString(PyExc_OverflowError,
                       "value too large to convert to size_t");
       return (size_t)-1;
   }
   return (size_t)val;
}


#endif /* Py_PYTHON_H */
