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  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
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#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
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  #define PyBaseString_Type            PyUnicode_Type
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  #define PyString_CheckExact          PyUnicode_CheckExact
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
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#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
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#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
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  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
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#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
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#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
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#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
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  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : PyInstanceMethod_New(func))
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  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
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#ifndef CYTHON_INLINE
  #if defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif
#ifndef CYTHON_RESTRICT
  #if defined(__GNUC__)
    #define CYTHON_RESTRICT __restrict__
  #elif defined(_MSC_VER) && _MSC_VER >= 1400
    #define CYTHON_RESTRICT __restrict
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
  #endif
#endif
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  /* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and
   a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is
   a quiet NaN. */
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
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#define __Pyx_void_to_None(void_result) (void_result, Py_INCREF(Py_None), Py_None)
#ifdef __cplusplus
template<typename T>
void __Pyx_call_destructor(T* x) {
    x->~T();
}
template<typename T>
class __Pyx_FakeReference {
  public:
    __Pyx_FakeReference() : ptr(NULL) { }
    __Pyx_FakeReference(T& ref) : ptr(&ref) { }
    T *operator->() { return ptr; }
    operator T&() { return *ptr; }
  private:
    T *ptr;
};
#endif


#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
#define _USE_MATH_DEFINES
#endif
#include <math.h>
#define __PYX_HAVE__MACS2__IO__ScoreTrack
#define __PYX_HAVE_API__MACS2__IO__ScoreTrack
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "pythread.h"
#include "math.h"
#include "stdint.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#endif

#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
typedef struct {PyObject **p; char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (    \
    (sizeof(type) < sizeof(Py_ssize_t))  ||             \
    (sizeof(type) > sizeof(Py_ssize_t) &&               \
          likely(v < (type)PY_SSIZE_T_MAX ||            \
                 v == (type)PY_SSIZE_T_MAX)  &&         \
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||       \
                                v == (type)PY_SSIZE_T_MIN)))  ||  \
    (sizeof(type) == sizeof(Py_ssize_t) &&              \
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||        \
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_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);
#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))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */

static PyObject *__pyx_m;
static PyObject *__pyx_d;
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)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "MACS2/IO/ScoreTrack.pyx",
  "__init__.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 {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;


/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
 * # 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * 
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":729
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * #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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
 * 
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":736
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * #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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":741
 * 
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
 * # 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * # 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":752
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":756
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":759
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":763
 * 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;
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif


/*--- Type declarations ---*/
struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII;
struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores;
struct __pyx_obj_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":767
 * 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;

/* "../../../../../../Library/Python/2.7/site-packages/Cython/Includes/numpy/__init__.pxd":769
 * 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_5MACS2_2IO_10ScoreTrack_12scoreTrackII_write_bedGraph;
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_peaks;
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak;
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak2;
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_broadpeaks;
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_bedGraph;
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_matrix;
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_call_peaks;

/* "MACS2/IO/ScoreTrack.pyx":980
 *         return
 * 
 *     cpdef write_bedGraph ( self, fhd, str name, str description, short column = 3):             # <<<<<<<<<<<<<<
 *         """Write all data to fhd in bedGraph Format.
 * 
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_write_bedGraph {
  int __pyx_n;
  short column;
};

/* "MACS2/IO/ScoreTrack.pyx":1086
 *     #     return ret_peaks
 * 
 *     cpdef call_peaks (self, float cutoff=5.0, int min_length=200, int max_gap=50, bool call_summits=False):             # <<<<<<<<<<<<<<
 *         """This function try to find regions within which, scores
 *         are continuously higher than a given cutoff.
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_peaks {
  int __pyx_n;
  float cutoff;
  int min_length;
  int max_gap;
  PyBoolObject *call_summits;
};

/* "MACS2/IO/ScoreTrack.pyx":1159
 *         return peaks
 * 
 *     cdef bool __close_peak (self, list peak_content, peaks, int min_length,             # <<<<<<<<<<<<<<
 *                             str chrom, int smoothlen=0):
 *         """Close the peak region, output peak boundaries, peak summit
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak {
  int __pyx_n;
  int smoothlen;
};

/* "MACS2/IO/ScoreTrack.pyx":1210
 *             return True
 * 
 *     cdef bool __close_peak2 (self, list peak_content, peaks, int min_length,             # <<<<<<<<<<<<<<
 *                              str chrom, int smoothlen=51,
 *                              float min_valley = 0.9):
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak2 {
  int __pyx_n;
  int smoothlen;
  float min_valley;
};

/* "MACS2/IO/ScoreTrack.pyx":1299
 *         return t
 * 
 *     cpdef tuple call_broadpeaks (self, float lvl1_cutoff=5.0, float lvl2_cutoff=1.0, int min_length=200, int lvl1_max_gap=50, int lvl2_max_gap=400):             # <<<<<<<<<<<<<<
 *         """This function try to find enriched regions within which,
 *         scores are continuously higher than a given cutoff for level
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_broadpeaks {
  int __pyx_n;
  float lvl1_cutoff;
  float lvl2_cutoff;
  int min_length;
  int lvl1_max_gap;
  int lvl2_max_gap;
};

/* "MACS2/IO/ScoreTrack.pyx":1639
 *         return l
 * 
 *     cpdef write_bedGraph ( self, fhd, str name, str description, short column = 3):             # <<<<<<<<<<<<<<
 *         """Write all data to fhd in bedGraph Format.
 * 
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_bedGraph {
  int __pyx_n;
  short column;
};

/* "MACS2/IO/ScoreTrack.pyx":1684
 *         return True
 * 
 *     cpdef write_matrix ( self, fhd, str name, str description, short column = 3 ):             # <<<<<<<<<<<<<<
 *         """Write all data to fhd into five columns Format:
 * 
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_matrix {
  int __pyx_n;
  short column;
};

/* "MACS2/IO/ScoreTrack.pyx":1722
 *         return True
 * 
 *     cpdef call_peaks (self, float cutoff=3, int min_length=200, int max_gap = 100,             # <<<<<<<<<<<<<<
 *                       bool call_summits=False):
 *         """This function try to find regions within which, scores
 */
struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_call_peaks {
  int __pyx_n;
  float cutoff;
  int min_length;
  int max_gap;
  PyBoolObject *call_summits;
};

/* "MACS2/IO/ScoreTrack.pyx":440
 *         return ret
 * 
 * cdef class scoreTrackII:             # <<<<<<<<<<<<<<
 *     """Class for scoreGraph type data. Modified from scoreTrackI. The
 *     difference is that we store a single score data, not
 */
struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII {
  PyObject_HEAD
  struct __pyx_vtabstruct_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_vtab;
  PyObject *data;
  PyObject *data_stderr;
  PyObject *datalength;
  PyBoolObject *trackline;
  PyBoolObject *stderr_on;
  double treat_edm;
  double ctrl_edm;
  char scoring_method;
  char normalization_method;
  float pseudocount;
  float cutoff;
  PyObject *pvalue_stat;
};


/* "MACS2/IO/ScoreTrack.pyx":1385
 *         return bpeaks
 * 
 * cdef class TwoConditionScores:             # <<<<<<<<<<<<<<
 *     """Class for saving two condition comparison scores.
 *     """
 */
struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores {
  PyObject_HEAD
  struct __pyx_vtabstruct_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_vtab;
  PyObject *data;
  PyObject *datalength;
  float cond1_factor;
  float cond2_factor;
  float pseudocount;
  float cutoff;
  PyObject *t1bdg;
  PyObject *c1bdg;
  PyObject *t2bdg;
  PyObject *c2bdg;
  PyObject *pvalue_stat1;
  PyObject *pvalue_stat2;
  PyObject *pvalue_stat3;
};


/* "MACS2/IO/ScoreTrack.pyx":1354
 *         return lvl1_peaks, broadpeaks
 * 
 *     def __add_broadpeak (self, bpeaks, str chrom, dict lvl2peak, list lvl1peakset):             # <<<<<<<<<<<<<<
 *         """Internal function to create broad peak.
 *         """
 */
struct __pyx_obj_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak {
  PyObject_HEAD
  int __pyx_v_start;
};



/* "MACS2/IO/ScoreTrack.pyx":440
 *         return ret
 * 
 * cdef class scoreTrackII:             # <<<<<<<<<<<<<<
 *     """Class for scoreGraph type data. Modified from scoreTrackI. The
 *     difference is that we store a single score data, not
 */

struct __pyx_vtabstruct_5MACS2_2IO_10ScoreTrack_scoreTrackII {
  PyObject *(*set_pseudocount)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, float, int __pyx_skip_dispatch);
  PyObject *(*enable_trackline)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, int __pyx_skip_dispatch);
  PyObject *(*add_chromosome)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, PyObject *, int, int __pyx_skip_dispatch);
  PyObject *(*add)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, PyObject *, int, float, float, int __pyx_skip_dispatch);
  PyObject *(*finalize)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, int __pyx_skip_dispatch);
  PyObject *(*get_data_by_chr)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*get_chr_names)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, int __pyx_skip_dispatch);
  PyObject *(*change_normalization_method)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, char, int __pyx_skip_dispatch);
  PyObject *(*normalize)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, double, double);
  PyObject *(*change_score_method)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, char, int __pyx_skip_dispatch);
  PyObject *(*compute_pvalue)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*compute_qvalue)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*make_pq_table)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, int __pyx_skip_dispatch);
  PyObject *(*compute_likelihood)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*compute_sym_likelihood)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*compute_logFE)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*compute_foldenrichment)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*compute_subtraction)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*compute_SPMR)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*compute_max)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*write_bedGraph)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, PyObject *, PyObject *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_write_bedGraph *__pyx_optional_args);
  PyObject *(*call_peaks)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_peaks *__pyx_optional_args);
  PyBoolObject *(*__pyx___close_peak)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, PyObject *, PyObject *, int, PyObject *, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak *__pyx_optional_args);
  PyBoolObject *(*__pyx___close_peak2)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, PyObject *, PyObject *, int, PyObject *, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak2 *__pyx_optional_args);
  long (*total)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *);
  PyObject *(*call_broadpeaks)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_broadpeaks *__pyx_optional_args);
};
static struct __pyx_vtabstruct_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_vtabptr_5MACS2_2IO_10ScoreTrack_scoreTrackII;


/* "MACS2/IO/ScoreTrack.pyx":1385
 *         return bpeaks
 * 
 * cdef class TwoConditionScores:             # <<<<<<<<<<<<<<
 *     """Class for saving two condition comparison scores.
 *     """
 */

struct __pyx_vtabstruct_5MACS2_2IO_10ScoreTrack_TwoConditionScores {
  PyObject *(*set_pseudocount)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, float, int __pyx_skip_dispatch);
  PyObject *(*build)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, int __pyx_skip_dispatch);
  PyObject *(*build_chromosome)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *, PyObject *);
  PyObject *(*add_chromosome)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *, int);
  PyObject *(*add)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *, int, float, float, float, float);
  PyObject *(*finalize)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, int __pyx_skip_dispatch);
  PyObject *(*get_data_by_chr)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*get_chr_names)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, int __pyx_skip_dispatch);
  PyObject *(*write_bedGraph)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *, PyObject *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_bedGraph *__pyx_optional_args);
  PyObject *(*write_matrix)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *, PyObject *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_matrix *__pyx_optional_args);
  PyObject *(*call_peaks)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_call_peaks *__pyx_optional_args);
  PyObject *(*__pyx___add_a_peak)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *, PyObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, PyArrayObject *, int, int);
  float (*mean_from_peakcontent)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *, PyObject *);
  long (*total)(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *);
};
static struct __pyx_vtabstruct_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_vtabptr_5MACS2_2IO_10ScoreTrack_TwoConditionScores;

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  #define __Pyx_GIVEREF(r)
  #define __Pyx_XINCREF(r) Py_XINCREF(r)
  #define __Pyx_XDECREF(r) Py_XDECREF(r)
  #define __Pyx_XGOTREF(r)
  #define __Pyx_XGIVEREF(r)
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#define __Pyx_XDECREF_SET(r, v) do {                            \
        PyObject *tmp = (PyObject *) r;                         \
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#define __Pyx_DECREF_SET(r, v) do {                             \
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#define __Pyx_CLEAR(r)    do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
#define __Pyx_XCLEAR(r)   do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
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    return PyObject_GetAttr(obj, attr_name);
}
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#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
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static PyObject *__Pyx_GetBuiltinName(PyObject *name);

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject **type, PyObject **value, PyObject **tb);
static void __Pyx_ExceptionReset(PyObject *type, PyObject *value, PyObject *tb);

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

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

static void __Pyx_WriteUnraisable(const char *name, int clineno,
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#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
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static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

static CYTHON_INLINE int __Pyx_IterFinish(void);

static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o,n,NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
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    if (likely(tp->tp_setattr))
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    return PyObject_SetAttr(obj, attr_name, value);
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#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
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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);

static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[], \
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args, \
    const char* function_name);

static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact);

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

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
#else
#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
#endif

#include <string.h>

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

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

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

static CYTHON_INLINE int  __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);

static void __Pyx_RaiseBufferFallbackError(void);

static void __Pyx_RaiseBufferIndexError(int axis);

#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) : \
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) : \
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) : \
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck) \
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ? \
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) : \
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

#if PY_MAJOR_VERSION >= 3
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            PyObject* args = PyTuple_Pack(1, key);
            if (likely(args))
                PyErr_SetObject(PyExc_KeyError, args);
            Py_XDECREF(args);
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
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    #define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
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static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

static CYTHON_INLINE PyObject* __Pyx_PyDict_Keys(PyObject* d);

static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d);

static CYTHON_INLINE int __Pyx_PySequence_Contains(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

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

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

static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t); /* proto */

static double __Pyx__PyObject_AsDouble(PyObject* obj);
#if CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyObject_AsDouble(obj) \
(likely(PyFloat_CheckExact(obj)) ? PyFloat_AS_DOUBLE(obj) : \
 likely(PyInt_CheckExact(obj)) ? \
 PyFloat_AsDouble(obj) : __Pyx__PyObject_AsDouble(obj))
#else
#define __Pyx_PyObject_AsDouble(obj) \
((likely(PyFloat_CheckExact(obj))) ? \
 PyFloat_AS_DOUBLE(obj) : __Pyx__PyObject_AsDouble(obj))
#endif

#define __Pyx_PyObject_DelSlice(obj, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound) \
    __Pyx_PyObject_SetSlice(obj, (PyObject*)NULL, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)
static CYTHON_INLINE int __Pyx_PyObject_SetSlice(
        PyObject* obj, PyObject* value, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

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

#if PY_MAJOR_VERSION < 3
#define __Pyx_PyString_Join __Pyx_PyBytes_Join
#define __Pyx_PyBaseString_Join(s, v) (PyUnicode_CheckExact(s) ? PyUnicode_Join(s, v) : __Pyx_PyBytes_Join(s, v))
#else
#define __Pyx_PyString_Join PyUnicode_Join
#define __Pyx_PyBaseString_Join PyUnicode_Join
#endif
#if CYTHON_COMPILING_IN_CPYTHON
    #if PY_MAJOR_VERSION < 3
    #define __Pyx_PyBytes_Join _PyString_Join
    #else
    #define __Pyx_PyBytes_Join _PyBytes_Join
    #endif
#else
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values);
#endif

static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

#define __Pyx_CyFunction_USED 1
#include <structmember.h>
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f) \
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f) \
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f) \
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g) \
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_NewEx(ml, flags, qualname, self, module, globals, code) \
    __Pyx_CyFunction_New(__pyx_CyFunctionType, ml, flags, qualname, self, module, globals, code)
static PyObject *__Pyx_CyFunction_New(PyTypeObject *, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __Pyx_CyFunction_init(void);

static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

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

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

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

static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

#if PY_MAJOR_VERSION < 3
    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
    static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
    #define __Pyx_GetBuffer PyObject_GetBuffer
    #define __Pyx_ReleaseBuffer PyBuffer_Release
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static Py_ssize_t __Pyx_zeros[] = {0, 0, 0, 0, 0, 0, 0, 0};
static Py_ssize_t __Pyx_minusones[] = {-1, -1, -1, -1, -1, -1, -1, -1};

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);

static CYTHON_INLINE short __Pyx_PyInt_As_short(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

static CYTHON_INLINE int32_t __Pyx_PyInt_As_int32_t(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int32_t(int32_t value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_char(char value);

static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_short(short value);

#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if (defined(_WIN32) || defined(__clang__)) && defined(__cplusplus) && CYTHON_CCOMPLEX
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eqf(a, b)   ((a)==(b))
    #define __Pyx_c_sumf(a, b)  ((a)+(b))
    #define __Pyx_c_difff(a, b) ((a)-(b))
    #define __Pyx_c_prodf(a, b) ((a)*(b))
    #define __Pyx_c_quotf(a, b) ((a)/(b))
    #define __Pyx_c_negf(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zerof(z) ((z)==(float)0)
    #define __Pyx_c_conjf(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_absf(z)     (::std::abs(z))
        #define __Pyx_c_powf(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zerof(z) ((z)==0)
    #define __Pyx_c_conjf(z)    (conjf(z))
    #if 1
        #define __Pyx_c_absf(z)     (cabsf(z))
        #define __Pyx_c_powf(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sumf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_difff(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prodf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zerof(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_absf(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_powf(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);

#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq(a, b)   ((a)==(b))
    #define __Pyx_c_sum(a, b)  ((a)+(b))
    #define __Pyx_c_diff(a, b) ((a)-(b))
    #define __Pyx_c_prod(a, b) ((a)*(b))
    #define __Pyx_c_quot(a, b) ((a)/(b))
    #define __Pyx_c_neg(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero(z) ((z)==(double)0)
    #define __Pyx_c_conj(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs(z)     (::std::abs(z))
        #define __Pyx_c_pow(a, b)  (::std::pow(a, b))
    #endif
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    #define __Pyx_c_is_zero(z) ((z)==0)
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static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_set_pseudocount(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, float __pyx_v_pseudocount, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_enable_trackline(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_add_chromosome(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_chrom, int __pyx_v_chrom_max_len, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_add(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_chromosome, int __pyx_v_endpos, float __pyx_v_chip, float __pyx_v_control, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_finalize(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_get_data_by_chr(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_chromosome, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_get_chr_names(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_change_normalization_method(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, char __pyx_v_normalization_method, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_normalize(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, double __pyx_v_treat_scale, double __pyx_v_control_scale); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_change_score_method(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, char __pyx_v_scoring_method, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_pvalue(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_qvalue(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_make_pq_table(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_likelihood(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_sym_likelihood(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_logFE(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_foldenrichment(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_subtraction(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_SPMR(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_compute_max(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_write_bedGraph(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_fhd, PyObject *__pyx_v_name, PyObject *__pyx_v_description, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_write_bedGraph *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_peaks(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_peaks *__pyx_optional_args); /* proto*/
static PyBoolObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_peak_content, PyObject *__pyx_v_peaks, int __pyx_v_min_length, PyObject *__pyx_v_chrom, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak *__pyx_optional_args); /* proto*/
static PyBoolObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak2(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_peak_content, PyObject *__pyx_v_peaks, int __pyx_v_min_length, PyObject *__pyx_v_chrom, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII___close_peak2 *__pyx_optional_args); /* proto*/
static long __pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_total(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_broadpeaks(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_12scoreTrackII_call_broadpeaks *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_set_pseudocount(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, float __pyx_v_pseudocount, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_build(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_build_chromosome(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_chrname, PyObject *__pyx_v_cond1_treat_ps, PyObject *__pyx_v_cond1_control_ps, PyObject *__pyx_v_cond2_treat_ps, PyObject *__pyx_v_cond2_control_ps, PyObject *__pyx_v_cond1_treat_vs, PyObject *__pyx_v_cond1_control_vs, PyObject *__pyx_v_cond2_treat_vs, PyObject *__pyx_v_cond2_control_vs); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_add_chromosome(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_chrom, int __pyx_v_chrom_max_len); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_add(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_chromosome, int __pyx_v_endpos, float __pyx_v_t1, float __pyx_v_c1, float __pyx_v_t2, float __pyx_v_c2); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_finalize(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_get_data_by_chr(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_chromosome, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_get_chr_names(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_bedGraph(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_fhd, PyObject *__pyx_v_name, PyObject *__pyx_v_description, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_bedGraph *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_matrix(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_fhd, CYTHON_UNUSED PyObject *__pyx_v_name, CYTHON_UNUSED PyObject *__pyx_v_description, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_write_matrix *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_call_peaks(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_call_peaks *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores___add_a_peak(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_peaks, PyObject *__pyx_v_chrom, PyArrayObject *__pyx_v_indices, PyArrayObject *__pyx_v_startpos, PyArrayObject *__pyx_v_endpos, PyArrayObject *__pyx_v_score, int __pyx_v_max_gap, int __pyx_v_min_length); /* proto*/
static float __pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_mean_from_peakcontent(CYTHON_UNUSED struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_peakcontent); /* proto*/
static long __pyx_f_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_total(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self); /* proto*/

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/* Module declarations from 'MACS2.IO.ScoreTrack' */
static PyTypeObject *__pyx_ptype_5MACS2_2IO_10ScoreTrack_scoreTrackII = 0;
static PyTypeObject *__pyx_ptype_5MACS2_2IO_10ScoreTrack_TwoConditionScores = 0;
static PyTypeObject *__pyx_ptype_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak = 0;
static CYTHON_INLINE double __pyx_f_5MACS2_2IO_10ScoreTrack_get_pscore(int, double); /*proto*/
static CYTHON_INLINE double __pyx_f_5MACS2_2IO_10ScoreTrack_logLR_asym(double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_5MACS2_2IO_10ScoreTrack_logLR_sym(double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_5MACS2_2IO_10ScoreTrack_get_logFE(float, float); /*proto*/
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#define __Pyx_MODULE_NAME "MACS2.IO.ScoreTrack"
int __pyx_module_is_main_MACS2__IO__ScoreTrack = 0;

/* Implementation of 'MACS2.IO.ScoreTrack' */
static PyObject *__pyx_builtin_KeyError;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_sum;
static PyObject *__pyx_builtin_Exception;
static PyObject *__pyx_builtin_range;
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static PyObject *__pyx_builtin_NotImplemented;
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static PyObject *__pyx_builtin_map;
static PyObject *__pyx_builtin_reduce;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack___init__(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_2add_chromosome(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_chrom, int __pyx_v_chrom_max_len); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_4add(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_chromosome, int __pyx_v_endpos, double __pyx_v_V1, double __pyx_v_V2); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_6finalize(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_8get_data_by_chr(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_chromosome); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_10get_chr_names(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_12write_bedGraph(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_fhd, CYTHON_UNUSED PyObject *__pyx_v_name, CYTHON_UNUSED PyObject *__pyx_v_description, PyObject *__pyx_v_colname); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_14total(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_16extract_value(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_bdgTrack2); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_18extract_average(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_bdgTrack2); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_16CombinedTwoTrack_20extract_sum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_self, PyObject *__pyx_v_bdgTrack2); /* proto */
static int __pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII___init__(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, float __pyx_v_treat_depth, float __pyx_v_ctrl_depth, CYTHON_UNUSED PyBoolObject *__pyx_v_stderr_on, float __pyx_v_pseudocount); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_2set_pseudocount(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, float __pyx_v_pseudocount); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_4enable_trackline(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_6add_chromosome(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_chrom, int __pyx_v_chrom_max_len); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_8add(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_chromosome, int __pyx_v_endpos, float __pyx_v_chip, float __pyx_v_control); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_10finalize(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_12get_data_by_chr(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_chromosome); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_14get_chr_names(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_16change_normalization_method(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, char __pyx_v_normalization_method); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_18change_score_method(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, char __pyx_v_scoring_method); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_20make_pq_table(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_22write_bedGraph(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_fhd, PyObject *__pyx_v_name, PyObject *__pyx_v_description, short __pyx_v_column); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_24call_peaks(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, float __pyx_v_cutoff, int __pyx_v_min_length, int __pyx_v_max_gap, PyBoolObject *__pyx_v_call_summits); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_26call_broadpeaks(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, float __pyx_v_lvl1_cutoff, float __pyx_v_lvl2_cutoff, int __pyx_v_min_length, int __pyx_v_lvl1_max_gap, int __pyx_v_lvl2_max_gap); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda1(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda2(PyObject *__pyx_self, PyObject *__pyx_v_x); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_12scoreTrackII_28__add_broadpeak(CYTHON_UNUSED struct __pyx_obj_5MACS2_2IO_10ScoreTrack_scoreTrackII *__pyx_v_self, PyObject *__pyx_v_bpeaks, PyObject *__pyx_v_chrom, PyObject *__pyx_v_lvl2peak, PyObject *__pyx_v_lvl1peakset); /* proto */
static int __pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores___init__(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_t1bdg, PyObject *__pyx_v_c1bdg, PyObject *__pyx_v_t2bdg, PyObject *__pyx_v_c2bdg, float __pyx_v_cond1_factor, float __pyx_v_cond2_factor, float __pyx_v_pseudocount, CYTHON_UNUSED PyObject *__pyx_v_proportion_background_empirical_distribution); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_2set_pseudocount(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, float __pyx_v_pseudocount); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_4build(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self); /* proto */
static PyObject *__pyx_lambda_funcdef_lambda3(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_x, PyObject *__pyx_v_y); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_6get_common_chrs(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_8finalize(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_10get_data_by_chr(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_chromosome); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_12get_chr_names(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_14write_bedGraph(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_fhd, PyObject *__pyx_v_name, PyObject *__pyx_v_description, short __pyx_v_column); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_16write_matrix(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, PyObject *__pyx_v_fhd, PyObject *__pyx_v_name, PyObject *__pyx_v_description, short __pyx_v_column); /* proto */
static PyObject *__pyx_pf_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_18call_peaks(struct __pyx_obj_5MACS2_2IO_10ScoreTrack_TwoConditionScores *__pyx_v_self, float __pyx_v_cutoff, int __pyx_v_min_length, int __pyx_v_max_gap, PyBoolObject *__pyx_v_call_summits); /* 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 PyObject *__pyx_tp_new_5MACS2_2IO_10ScoreTrack_scoreTrackII(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5MACS2_2IO_10ScoreTrack_TwoConditionScores(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static char __pyx_k_0[] = "0,";
static char __pyx_k_1[] = "1,";
static char __pyx_k_B[] = "B";
static char __pyx_k_H[] = "H";
static char __pyx_k_I[] = "I";
static char __pyx_k_L[] = "L";
static char __pyx_k_O[] = "O";
static char __pyx_k_Q[] = "Q";
static char __pyx_k_b[] = "b";
static char __pyx_k_c[] = "c";
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_l[] = "l";
static char __pyx_k_q[] = "q";
static char __pyx_k_t[] = "t";
static char __pyx_k_x[] = "x";
static char __pyx_k_y[] = "y";
static char __pyx_k_V1[] = "V1";
static char __pyx_k_V2[] = "V2";
static char __pyx_k_Zd[] = "Zd";
static char __pyx_k_Zf[] = "Zf";
static char __pyx_k_Zg[] = "Zg";
static char __pyx_k__4[] = ".";
static char __pyx_k__8[] = ",";
static char __pyx_k_np[] = "np";
static char __pyx_k_p1[] = "p1";
static char __pyx_k_p2[] = "p2";
static char __pyx_k_v2[] = "v2";
static char __pyx_k_1_2[] = ",1";
static char __pyx_k_add[] = "add";
static char __pyx_k_all[] = "all";
static char __pyx_k_doc[] = "__doc__";
static char __pyx_k_end[] = "end";
static char __pyx_k_fhd[] = "fhd";
static char __pyx_k_map[] = "map";
static char __pyx_k_ord[] = "ord";
static char __pyx_k_p1n[] = "p1n";
static char __pyx_k_p2n[] = "p2n";
static char __pyx_k_p2s[] = "p2s";
static char __pyx_k_pos[] = "pos";
static char __pyx_k_pre[] = "pre";
static char __pyx_k_ret[] = "ret";
static char __pyx_k_sum[] = "sum";
static char __pyx_k_v11[] = "v11";
static char __pyx_k_v21[] = "v21";
static char __pyx_k_v2n[] = "v2n";
static char __pyx_k_v2s[] = "v2s";
static char __pyx_k_zip[] = "zip";
static char __pyx_k_chip[] = "chip";
static char __pyx_k_chr1[] = "chr1";
static char __pyx_k_chr2[] = "chr2";
static char __pyx_k_chrs[] = "chrs";
static char __pyx_k_copy[] = "copy";
static char __pyx_k_data[] = "data";
static char __pyx_k_flat[] = "flat";
static char __pyx_k_init[] = "__init__";
static char __pyx_k_join[] = "join";
static char __pyx_k_keys[] = "keys";
static char __pyx_k_ladd[] = "ladd";
static char __pyx_k_main[] = "__main__";
static char __pyx_k_name[] = "name";
static char __pyx_k_next[] = "next";
static char __pyx_k_radd[] = "radd";
static char __pyx_k_self[] = "self";
static char __pyx_k_size[] = "size";
static char __pyx_k_test[] = "__test__";
static char __pyx_k_v11n[] = "v11n";
static char __pyx_k_v21n[] = "v21n";
static char __pyx_k_BYTE4[] = "BYTE4";
static char __pyx_k_array[] = "array";
static char __pyx_k_build[] = "build";
static char __pyx_k_c1bdg[] = "c1bdg";
static char __pyx_k_c2bdg[] = "c2bdg";
static char __pyx_k_chrom[] = "chrom";
static char __pyx_k_dtype[] = "dtype";
static char __pyx_k_int32[] = "int32";
static char __pyx_k_numpy[] = "numpy";
static char __pyx_k_peaks[] = "peaks";
static char __pyx_k_pre_p[] = "pre_p";
static char __pyx_k_range[] = "range";
static char __pyx_k_right[] = "right";
static char __pyx_k_score[] = "score";
static char __pyx_k_split[] = "split";
static char __pyx_k_start[] = "start";
static char __pyx_k_t1bdg[] = "t1bdg";
static char __pyx_k_t2bdg[] = "t2bdg";
static char __pyx_k_total[] = "total";
static char __pyx_k_v1add[] = "v1add";
static char __pyx_k_v2add[] = "v2add";
static char __pyx_k_value[] = "value";
static char __pyx_k_where[] = "where";
static char __pyx_k_write[] = "write";
static char __pyx_k_zeros[] = "zeros";
static char __pyx_k_FBYTE4[] = "FBYTE4";
static char __pyx_k_PeakIO[] = "PeakIO";
static char __pyx_k_append[] = "append";
static char __pyx_k_author[] = "__author__";
static char __pyx_k_bpeaks[] = "bpeaks";
static char __pyx_k_column[] = "column";
static char __pyx_k_cutoff[] = "cutoff";
static char __pyx_k_endpos[] = "endpos";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_larray[] = "larray";
static char __pyx_k_length[] = "length";
static char __pyx_k_maxima[] = "maxima";
static char __pyx_k_module[] = "__module__";
static char __pyx_k_pileup[] = "pileup";
static char __pyx_k_pscore[] = "pscore";
static char __pyx_k_qscore[] = "qscore";
static char __pyx_k_rarray[] = "rarray";
static char __pyx_k_reduce[] = "reduce";
static char __pyx_k_resize[] = "resize";
static char __pyx_k_sorted[] = "sorted";
static char __pyx_k_summit[] = "summit";
static char __pyx_k_values[] = "values";
static char __pyx_k_LOG10_E[] = "LOG10_E";
static char __pyx_k_colname[] = "colname";
static char __pyx_k_control[] = "control";
static char __pyx_k_float32[] = "float32";
static char __pyx_k_has_key[] = "has_key";
static char __pyx_k_logging[] = "logging";
static char __pyx_k_max_gap[] = "max_gap";
static char __pyx_k_nonzero[] = "nonzero";
static char __pyx_k_pointer[] = "pointer";
static char __pyx_k_prepare[] = "__prepare__";
static char __pyx_k_reverse[] = "reverse";
static char __pyx_k_v1array[] = "v1array";
static char __pyx_k_v2array[] = "v2array";
static char __pyx_k_version[] = "__version__";
static char __pyx_k_KeyError[] = "KeyError";
static char __pyx_k_blockNum[] = "blockNum";
static char __pyx_k_finalize[] = "finalize";
static char __pyx_k_get_item[] = "get_item";
static char __pyx_k_lvl2peak[] = "lvl2peak";
static char __pyx_k_qualname[] = "__qualname__";
static char __pyx_k_refcheck[] = "refcheck";
static char __pyx_k_s_d_d_5f[] = "%s\t%d\t%d\t%.5f\n";
static char __pyx_k_set_item[] = "set_item";
static char __pyx_k_thickEnd[] = "thickEnd";
static char __pyx_k_Exception[] = "Exception";
static char __pyx_k_bdgTrack2[] = "bdgTrack2";
static char __pyx_k_metaclass[] = "__metaclass__";
static char __pyx_k_stderr_on[] = "stderr_on";
static char __pyx_k_trackline[] = "trackline";
static char __pyx_k_MACS2_Prob[] = "MACS2.Prob";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_blockSizes[] = "blockSizes";
static char __pyx_k_call_peaks[] = "call_peaks";
static char __pyx_k_chrom_data[] = "chrom_data";
static char __pyx_k_chromosome[] = "chromosome";
static char __pyx_k_common_chr[] = "common_chr";
static char __pyx_k_ctrl_depth[] = "ctrl_depth";
static char __pyx_k_cur_region[] = "cur_region";
static char __pyx_k_min_length[] = "min_length";
static char __pyx_k_peak_score[] = "peak_score";
static char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static char __pyx_k_thickStart[] = "thickStart";
static char __pyx_k_BroadPeakIO[] = "BroadPeakIO";
static char __pyx_k_blockStarts[] = "blockStarts";
static char __pyx_k_description[] = "description";
static char __pyx_k_extract_sum[] = "extract_sum";
static char __pyx_k_fold_change[] = "fold_change";
static char __pyx_k_logical_and[] = "logical_and";
static char __pyx_k_lvl1_cutoff[] = "lvl1_cutoff";
static char __pyx_k_lvl1peakset[] = "lvl1peakset";
static char __pyx_k_lvl2_cutoff[] = "lvl2_cutoff";
static char __pyx_k_poisson_cdf[] = "poisson_cdf";
static char __pyx_k_pseudocount[] = "pseudocount";
static char __pyx_k_treat_depth[] = "treat_depth";
static char __pyx_k_MACS2_Signal[] = "MACS2.Signal";
static char __pyx_k_RuntimeError[] = "RuntimeError";
static char __pyx_k_call_summits[] = "call_summits";
static char __pyx_k_cond1_factor[] = "cond1_factor";
static char __pyx_k_cond2_factor[] = "cond2_factor";
static char __pyx_k_intersection[] = "intersection";
static char __pyx_k_lvl1_max_gap[] = "lvl1_max_gap";
static char __pyx_k_lvl2_max_gap[] = "lvl2_max_gap";
static char __pyx_k_searchsorted[] = "searchsorted";
static char __pyx_k_write_matrix[] = "write_matrix";
static char __pyx_k_StopIteration[] = "StopIteration";
static char __pyx_k_add_broadpeak[] = "__add_broadpeak";
static char __pyx_k_chrom_max_len[] = "chrom_max_len";
static char __pyx_k_extract_value[] = "extract_value";
static char __pyx_k_get_chr_names[] = "get_chr_names";
static char __pyx_k_make_pq_table[] = "make_pq_table";
static char __pyx_k_Int64HashTable[] = "Int64HashTable";
static char __pyx_k_NotImplemented[] = "NotImplemented";
static char __pyx_k_add_chromosome[] = "add_chromosome";
static char __pyx_k_parse_peakname[] = "parse_peakname";
static char __pyx_k_write_bedGraph[] = "write_bedGraph";
static char __pyx_k_MACS2_Constants[] = "MACS2.Constants";
static char __pyx_k_MACS2_IO_PeakIO[] = "MACS2.IO.PeakIO";
static char __pyx_k_MACS2_hashtable[] = "MACS2.hashtable";
static char __pyx_k_call_broadpeaks[] = "call_broadpeaks";
static char __pyx_k_enforce_valleys[] = "enforce_valleys";
static char __pyx_k_extract_average[] = "extract_average";
static char __pyx_k_get_common_chrs[] = "get_common_chrs";
static char __pyx_k_get_data_by_chr[] = "get_data_by_chr";
static char __pyx_k_s_not_supported[] = "%s not supported!";
static char __pyx_k_set_pseudocount[] = "set_pseudocount";
static char __pyx_k_CombinedTwoTrack[] = "CombinedTwoTrack";
static char __pyx_k_Float64HashTable[] = "Float64HashTable";
static char __pyx_k_enable_trackline[] = "enable_trackline";
static char __pyx_k_enforce_peakyness[] = "enforce_peakyness";
static char __pyx_k_pscore_khashtable[] = "pscore_khashtable";
static char __pyx_k_s_d__d_5f_5f_5f_5f[] = "%s:%d_%d\t%.5f\t%.5f\t%.5f\t%.5f\n";
static char __pyx_k_scoreTrack_classes[] = "scoreTrack classes";
static char __pyx_k_MACS2_IO_ScoreTrack[] = "MACS2.IO.ScoreTrack";
static char __pyx_k_change_score_method[] = "change_score_method";
static char __pyx_k_CombinedTwoTrack_add[] = "CombinedTwoTrack.add";
static char __pyx_k_scoreTrackI_Revision[] = "scoreTrackI $Revision$";
static char __pyx_k_sym_logLR_khashtable[] = "sym_logLR_khashtable";
static char __pyx_k_asym_logLR_khashtable[] = "asym_logLR_khashtable";
static char __pyx_k_CombinedTwoTrack_total[] = "CombinedTwoTrack.total";
static char __pyx_k_CombinedTwoTrack___init[] = "CombinedTwoTrack.__init__";
static char __pyx_k_CombinedTwoTrack_finalize[] = "CombinedTwoTrack.finalize";
static char __pyx_k_add_broadpeak_locals_lambda[] = "__add_broadpeak.<locals>.<lambda>";
static char __pyx_k_change_normalization_method[] = "change_normalization_method";
static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static char __pyx_k_CombinedTwoTrack_extract_sum[] = "CombinedTwoTrack.extract_sum";
static char __pyx_k_For_differential_peak_calling[] = " For differential peak calling.\n    \n    ";
static char __pyx_k_get_common_chrs_locals_lambda[] = "get_common_chrs.<locals>.<lambda>";
static char __pyx_k_CombinedTwoTrack_extract_value[] = "CombinedTwoTrack.extract_value";
static char __pyx_k_CombinedTwoTrack_get_chr_names[] = "CombinedTwoTrack.get_chr_names";
static char __pyx_k_Tao_Liu_vladimir_liu_gmail_com[] = "Tao Liu <vladimir.liu@gmail.com>";
static char __pyx_k_CombinedTwoTrack_add_chromosome[] = "CombinedTwoTrack.add_chromosome";
static char __pyx_k_CombinedTwoTrack_write_bedGraph[] = "CombinedTwoTrack.write_bedGraph";
static char __pyx_k_Users_taoliu_Dropbox_Projects_M[] = "/Users/taoliu/Dropbox/Projects/MACS2/MACS/MACS2/IO/ScoreTrack.pyx";
static char __pyx_k_column_should_be_between_1_2_or[] = "column should be between 1, 2 or 3.";
static char __pyx_k_level_1_cutoff_should_be_larger[] = "level 1 cutoff should be larger than level 2.";
static char __pyx_k_proportion_background_empirical[] = "proportion_background_empirical_distribution";
static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_CombinedTwoTrack_extract_average[] = "CombinedTwoTrack.extract_average";
static char __pyx_k_CombinedTwoTrack_get_data_by_chr[] = "CombinedTwoTrack.get_data_by_chr";
static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_Module_for_Feature_IO_classes_Co[] = "Module for Feature IO classes.\n\nCopyright (c) 2010,2011,2012,2013 Tao Liu <vladimir.liu@gmail.com>\n\nThis code is free software; you can redistribute it and/or modify it\nunder the terms of the BSD License (see the file COPYING included\nwith the distribution).\n\n@status:  experimental\n@version: $Revision$\n@author:  Tao Liu\n@contact: taoliu@jimmy.harvard.edu\n";
static char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static char __pyx_k_level_2_maximum_gap_should_be_la[] = "level 2 maximum gap should be larger than level 1.";
static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_track_type_bedGraph_name_s_descr[] = "track type=bedGraph name=\"%s\" description=\"%s\"\n";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static PyObject *__pyx_kp_s_0;
static PyObject *__pyx_kp_s_1;
static PyObject *__pyx_kp_s_1_2;
static PyObject *__pyx_n_s_BYTE4;
static PyObject *__pyx_n_s_BroadPeakIO;
static PyObject *__pyx_n_s_CombinedTwoTrack;
static PyObject *__pyx_n_s_CombinedTwoTrack___init;
static PyObject *__pyx_n_s_CombinedTwoTrack_add;
static PyObject *__pyx_n_s_CombinedTwoTrack_add_chromosome;
static PyObject *__pyx_n_s_CombinedTwoTrack_extract_average;
static PyObject *__pyx_n_s_CombinedTwoTrack_extract_sum;
static PyObject *__pyx_n_s_CombinedTwoTrack_extract_value;
static PyObject *__pyx_n_s_CombinedTwoTrack_finalize;
static PyObject *__pyx_n_s_CombinedTwoTrack_get_chr_names;
static PyObject *__pyx_n_s_CombinedTwoTrack_get_data_by_chr;
static PyObject *__pyx_n_s_CombinedTwoTrack_total;
static PyObject *__pyx_n_s_CombinedTwoTrack_write_bedGraph;
static PyObject *__pyx_n_s_Exception;
static PyObject *__pyx_n_s_FBYTE4;
static PyObject *__pyx_n_s_Float64HashTable;
static PyObject *__pyx_kp_s_For_differential_peak_calling;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_Int64HashTable;
static PyObject *__pyx_n_s_KeyError;
static PyObject *__pyx_n_s_LOG10_E;
static PyObject *__pyx_n_s_MACS2_Constants;
static PyObject *__pyx_n_s_MACS2_IO_PeakIO;
static PyObject *__pyx_n_s_MACS2_IO_ScoreTrack;
static PyObject *__pyx_n_s_MACS2_Prob;
static PyObject *__pyx_n_s_MACS2_Signal;
static PyObject *__pyx_n_s_MACS2_hashtable;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_NotImplemented;
static PyObject *__pyx_n_s_PeakIO;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_StopIteration;
static PyObject *__pyx_kp_s_Tao_Liu_vladimir_liu_gmail_com;
static PyObject *__pyx_kp_s_Users_taoliu_Dropbox_Projects_M;
static PyObject *__pyx_n_s_V1;
static PyObject *__pyx_n_s_V2;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_s__4;
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 *             elif self.normalization_method == 'N':
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 *             if self.normalization_method == 'T':
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  p->pvalue_stat3 = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

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  {"finalize", (PyCFunction)__pyx_pw_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_9finalize, METH_NOARGS, __pyx_doc_5MACS2_2IO_10ScoreTrack_18TwoConditionScores_8finalize},
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  {0, 0, 0, 0}
};

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static struct __pyx_obj_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak *__pyx_freelist_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak[8];
static int __pyx_freecount_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak = 0;

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static void __pyx_tp_dealloc_5MACS2_2IO_10ScoreTrack___pyx_scope_struct____add_broadpeak(PyObject *o) {
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  __pyx_builtin_zip = __Pyx_GetBuiltinName(__pyx_n_s_zip); if (!__pyx_builtin_zip) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 151; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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PyMODINIT_FUNC initScoreTrack(void); /*proto*/
PyMODINIT_FUNC initScoreTrack(void)
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PyMODINIT_FUNC PyInit_ScoreTrack(void); /*proto*/
PyMODINIT_FUNC PyInit_ScoreTrack(void)
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            PyObject* old = PyList_GET_ITEM(o, n);
            Py_INCREF(v);
            PyList_SET_ITEM(o, n, v);
            Py_DECREF(old);
            return 1;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_ass_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (PyErr_ExceptionMatches(PyExc_OverflowError))
                        PyErr_Clear();
                    else
                        return -1;
                }
            }
            return m->sq_ass_item(o, i, v);
        }
    }
#else
#if CYTHON_COMPILING_IN_PYPY
    if (is_list || (PySequence_Check(o) && !PyDict_Check(o))) {
#else
    if (is_list || PySequence_Check(o)) {
#endif
        return PySequence_SetItem(o, i, v);
    }
#endif
    return __Pyx_SetItemInt_Generic(o, PyInt_FromSsize_t(i), v);
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

#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 (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                if (PyObject_IsSubclass(instance_class, type)) {
                    type = instance_class;
                } else {
                    instance_class = NULL;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
#if PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(tmp_type, tmp_value, tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(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 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)
        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;
    }
}
/* 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*);
    default:
      __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');
    case 'O':
        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;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      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;
        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 != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        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 '\r':
      case '\n':
        ++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':
        {
          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;
          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 '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          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;
        }
      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 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
      case 's':
        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 void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_SetString(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

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

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

static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method, *result = NULL;
    method = __Pyx_PyObject_GetAttrStr(obj, method_name);
    if (unlikely(!method)) goto bad;
#if CYTHON_COMPILING_IN_CPYTHON
    if (likely(PyMethod_Check(method))) {
        PyObject *self = PyMethod_GET_SELF(method);
        if (likely(self)) {
            PyObject *args;
            PyObject *function = PyMethod_GET_FUNCTION(method);
            args = PyTuple_New(2);
            if (unlikely(!args)) goto bad;
            Py_INCREF(self);
            PyTuple_SET_ITEM(args, 0, self);
            Py_INCREF(arg);
            PyTuple_SET_ITEM(args, 1, arg);
            Py_INCREF(function);
            Py_DECREF(method); method = NULL;
            result = __Pyx_PyObject_Call(function, args, NULL);
            Py_DECREF(args);
            Py_DECREF(function);
            return result;
        }
    }
#endif
    result = __Pyx_PyObject_CallOneArg(method, arg);
bad:
    Py_XDECREF(method);
    return result;
}

static CYTHON_INLINE PyObject* __Pyx_PyDict_Keys(PyObject* d) {
    if (PY_MAJOR_VERSION >= 3)
        return __Pyx_PyObject_CallMethod1((PyObject*)&PyDict_Type, __pyx_n_s_keys, d);
    else
        return PyDict_Keys(d);
}

static CYTHON_INLINE PyObject* __Pyx_PyDict_Values(PyObject* d) {
    if (PY_MAJOR_VERSION >= 3)
        return __Pyx_PyObject_CallMethod1((PyObject*)&PyDict_Type, __pyx_n_s_values, d);
    else
        return PyDict_Values(d);
}

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

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

static CYTHON_INLINE int __Pyx_PyObject_SetSlice(
        PyObject* obj, PyObject* value, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_ass_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (PyErr_ExceptionMatches(PyExc_OverflowError))
                    PyErr_Clear();
                else
                    goto bad;
            }
        }
        return ms->sq_ass_slice(obj, cstart, cstop, value);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_ass_subscript))
#endif
    {
        int result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_COMPILING_IN_CPYTHON
        result = mp->mp_ass_subscript(obj, py_slice, value);
#else
        result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object does not support slice %.10s",
        Py_TYPE(obj)->tp_name, value ? "assignment" : "deletion");
bad:
    return -1;
}

static CYTHON_INLINE PyObject* __Pyx_PyObject_GetSlice(
        PyObject* obj, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (PyErr_ExceptionMatches(PyExc_OverflowError))
                    PyErr_Clear();
                else
                    goto bad;
            }
        }
        return ms->sq_slice(obj, cstart, cstop);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_subscript))
#endif
    {
        PyObject* result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_COMPILING_IN_CPYTHON
        result = mp->mp_subscript(obj, py_slice);
#else
        result = PyObject_GetItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object is unsliceable", Py_TYPE(obj)->tp_name);
bad:
    return NULL;
}

#if !CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyBytes_Join(PyObject* sep, PyObject* values) {
    return PyObject_CallMethodObjArgs(sep, __pyx_n_s_join, values, NULL);
}
#endif

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

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

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

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

static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

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

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

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, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

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

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif


                static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                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);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

#define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)       \
    {                                                                     \
        func_type value = func_value;                                     \
        if (sizeof(target_type) < sizeof(func_type)) {                    \
            if (unlikely(value != (func_type) (target_type) value)) {     \
                func_type zero = 0;                                       \
                if (is_unsigned && unlikely(value < zero))                \
                    goto raise_neg_overflow;                              \
                else                                                      \
                    goto raise_overflow;                                  \
            }                                                             \
        }                                                                 \
        return (target_type) value;                                       \
    }

#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
 #endif
#endif

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

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

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

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

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

static CYTHON_INLINE int32_t __Pyx_PyInt_As_int32_t(PyObject *x) {
    const int32_t neg_one = (int32_t) -1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int32_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int32_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int32_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(int32_t, digit, ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
            if (sizeof(int32_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT(int32_t, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(int32_t) <= sizeof(unsigned long long)) {
                __PYX_VERIFY_RETURN_INT(int32_t, unsigned long long, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
 #if CYTHON_USE_PYLONG_INTERNALS
            switch (Py_SIZE(x)) {
                case  0: return 0;
                case  1: __PYX_VERIFY_RETURN_INT(int32_t,  digit, +(((PyLongObject*)x)->ob_digit[0]));
                case -1: __PYX_VERIFY_RETURN_INT(int32_t, sdigit, -(sdigit) ((PyLongObject*)x)->ob_digit[0]);
            }
 #endif
#endif
            if (sizeof(int32_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT(int32_t, long, PyLong_AsLong(x))
            } else if (sizeof(int32_t) <= sizeof(long long)) {
                __PYX_VERIFY_RETURN_INT(int32_t, long long, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int32_t val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int32_t) -1;
        }
    } else {
        int32_t val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (int32_t) -1;
        val = __Pyx_PyInt_As_int32_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int32_t");
    return (int32_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int32_t");
    return (int32_t) -1;
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int32_t(int32_t value) {
    const int32_t neg_one = (int32_t) -1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int32_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int32_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(int32_t) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(int32_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int32_t) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int32_t),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value) {
    const npy_int32 neg_one = (npy_int32) -1, const_zero = 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int32) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int32) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(npy_int32) <= sizeof(unsigned long long)) {
            return PyLong_FromUnsignedLongLong((unsigned long long) value);
        }
    } else {
        if (sizeof(npy_int32) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int32) <= sizeof(long long)) {
            return PyLong_FromLongLong((long long) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int32),
                                     little, !is_unsigned);
    }
}

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

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

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

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

#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_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    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,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s 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_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if !CYTHON_COMPILING_IN_PYPY
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  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_MAJOR_VERSION < 3
  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_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (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;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b)))
      return PyInt_AS_LONG(b);
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
     #if CYTHON_USE_PYLONG_INTERNALS
       switch (Py_SIZE(b)) {
       case -1: return -(sdigit)((PyLongObject*)b)->ob_digit[0];
       case  0: return 0;
       case  1: return ((PyLongObject*)b)->ob_digit[0];
       }
     #endif
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
