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/* BEGIN: Cython Metadata
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  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
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  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
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#endif
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
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  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
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#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #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
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

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

#define __PYX_HAVE__ms_deisotope___c__utils
#define __PYX_HAVE_API__ms_deisotope___c__utils
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"

    /* NumPy API declarations from "numpy/__init__.pxd" */
    
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


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

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "ms_deisotope/_c/utils.pyx",
  "__init__.pxd",
  "type.pxd",
  "peak_set.pxd",
  "peak_index.pxd",
  "composition.pxd",
  "isotopic_distribution.pxd",
  "ms_deisotope/_c/averagine.pxd",
  "ms_deisotope/_c/deconvoluter_base.pxd",
  "ms_deisotope/_c/scoring.pxd",
  "ms_deisotope/_c/peak_set.pxd",
};
/* BufferFormatStructs.proto */
#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;


/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":689
 * # 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":690
 * 
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":691
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":692
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":696
 * #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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":697
 * 
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":698
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":699
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":703
 * #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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":704
 * 
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":713
 * # 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":714
 * # 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":715
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":717
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":718
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":719
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":721
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":722
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":724
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":725
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":726
 * 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;

/* "brainpy/_c/composition.pxd":3
 * from brainpy.mass_dict import nist_mass as __nist_mass
 * 
 * ctypedef long count_type             # <<<<<<<<<<<<<<
 * 
 * cdef dict nist_mass
 */
typedef long __pyx_t_7brainpy_2_c_11composition_count_type;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase;
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak;
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet;
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSetIndexed;
struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex;
struct __pyx_obj_7brainpy_2_c_11composition_PyComposition;
struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak;
struct __pyx_obj_12ms_deisotope_2_c_9averagine_Averagine;
struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern;
struct __pyx_obj_12ms_deisotope_2_c_9averagine_AveragineCache;
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase;
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase;
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_MultiAveragineDeconvoluterBase;
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_LeastSquaresFitter;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_GTestFitter;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledGTestFitter;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_MSDeconVFitter;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_PenalizedMSDeconVFitter;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_FunctionScorer;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_InterferenceDetection;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_DistinctPatternFitter;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter;
struct __pyx_obj_12ms_deisotope_2_c_7scoring_DotProductFitter;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set__Index;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_EnvelopePair;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_IonMobilityDeconvolutedPeak;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSolution;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet;
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":728
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":729
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":730
 * 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;

/* "../../../../../tmp/pip-build-env-aps34_7m/overlay/lib/python3.9/site-packages/numpy/__init__.pxd":732
 * 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_14ms_peak_picker_2_c_8peak_set_7PeakSet__has_peak;
struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_7PeakSet_all_peaks_for;
struct __pyx_t_14ms_peak_picker_2_c_8peak_set_index_cell;
struct __pyx_t_14ms_peak_picker_2_c_8peak_set_index_list;
struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_14PeakSetIndexed_has_peak_hinted;

/* "ms_peak_picker/_c/peak_set.pxd":42
 *     cdef FittedPeak _get_nearest_peak(self, double mz, double* errout)
 * 
 *     cdef FittedPeak _has_peak(self, double mz, double tolerance=*)             # <<<<<<<<<<<<<<
 * 
 *     cpdef PeakSet clone(self)
 */
struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_7PeakSet__has_peak {
  int __pyx_n;
  double tolerance;
};

/* "ms_peak_picker/_c/peak_set.pxd":50
 *     cdef int _between_bounds(self, double m1, double m2, size_t* startp, size_t* endp)
 * 
 *     cpdef tuple all_peaks_for(self, double mz, double error_tolerance=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef FittedPeak getitem(self, size_t i)
 */
struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_7PeakSet_all_peaks_for {
  int __pyx_n;
  double error_tolerance;
};

/* "ms_peak_picker/_c/peak_set.pxd":64
 * 
 * 
 * cdef struct index_cell:             # <<<<<<<<<<<<<<
 *     double center_value
 *     size_t start
 */
struct __pyx_t_14ms_peak_picker_2_c_8peak_set_index_cell {
  double center_value;
  size_t start;
  size_t end;
};

/* "ms_peak_picker/_c/peak_set.pxd":70
 * 
 * 
 * cdef struct index_list:             # <<<<<<<<<<<<<<
 *     index_cell* index
 *     size_t size
 */
struct __pyx_t_14ms_peak_picker_2_c_8peak_set_index_list {
  struct __pyx_t_14ms_peak_picker_2_c_8peak_set_index_cell *index;
  size_t size;
  double low;
  double high;
};

/* "ms_peak_picker/_c/peak_set.pxd":90
 *     cpdef _allocate_index(self, size_t interval_index_size)
 * 
 *     cpdef FittedPeak has_peak_hinted(self, double mz, double tolerance=*, size_t hint_start=*, size_t hint_end=*)             # <<<<<<<<<<<<<<
 * 
 * cdef size_t double_binary_search_ppm(double* array, double value, double tolerance, size_t n)
 */
struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_14PeakSetIndexed_has_peak_hinted {
  int __pyx_n;
  double tolerance;
  size_t hint_start;
  size_t hint_end;
};
struct __pyx_opt_args_14ms_peak_picker_2_c_10peak_index_9PeakIndex__has_peak;
struct __pyx_opt_args_14ms_peak_picker_2_c_10peak_index_9PeakIndex_all_peaks_for;

/* "ms_peak_picker/_c/peak_index.pxd":11
 *         public PeakSet peaks
 * 
 *     cdef FittedPeak _has_peak(self, double mz, double tolerance=*)             # <<<<<<<<<<<<<<
 *     cdef PeakSet _between(self, double start, double stop)
 * 
 */
struct __pyx_opt_args_14ms_peak_picker_2_c_10peak_index_9PeakIndex__has_peak {
  int __pyx_n;
  double tolerance;
};

/* "ms_peak_picker/_c/peak_index.pxd":14
 *     cdef PeakSet _between(self, double start, double stop)
 * 
 *     cpdef tuple all_peaks_for(self, double mz, double error_tolerance=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef size_t get_size(self)
 */
struct __pyx_opt_args_14ms_peak_picker_2_c_10peak_index_9PeakIndex_all_peaks_for {
  int __pyx_n;
  double error_tolerance;
};
struct __pyx_opt_args_7brainpy_2_c_11composition_neutral_mass;
struct __pyx_opt_args_7brainpy_2_c_11composition_mass_charge_ratio;
struct __pyx_t_7brainpy_2_c_11composition_Isotope;
struct __pyx_t_7brainpy_2_c_11composition_IsotopeMap;
struct __pyx_t_7brainpy_2_c_11composition_Element;
struct __pyx_t_7brainpy_2_c_11composition_ElementHashBucket;
struct __pyx_t_7brainpy_2_c_11composition_ElementHashTable;
struct __pyx_t_7brainpy_2_c_11composition_Composition;
struct __pyx_opt_args_7brainpy_2_c_11composition_13PyComposition__set_impl;
struct __pyx_opt_args_7brainpy_2_c_11composition_13PyComposition_pop;

/* "brainpy/_c/composition.pxd":10
 * cdef double PROTON = nist_mass["H+"][0][0]
 * 
 * cdef double neutral_mass(double mz,  int z, double charge_carrier=*) nogil             # <<<<<<<<<<<<<<
 * cdef double mass_charge_ratio(double neutral_mass, int z, double charge_carrier=*) nogil
 * cdef char* _parse_isotope_string(char* label, int* isotope_num, char* element_name) nogil
 */
struct __pyx_opt_args_7brainpy_2_c_11composition_neutral_mass {
  int __pyx_n;
  double charge_carrier;
};

/* "brainpy/_c/composition.pxd":11
 * 
 * cdef double neutral_mass(double mz,  int z, double charge_carrier=*) nogil
 * cdef double mass_charge_ratio(double neutral_mass, int z, double charge_carrier=*) nogil             # <<<<<<<<<<<<<<
 * cdef char* _parse_isotope_string(char* label, int* isotope_num, char* element_name) nogil
 * 
 */
struct __pyx_opt_args_7brainpy_2_c_11composition_mass_charge_ratio {
  int __pyx_n;
  double charge_carrier;
};

/* "brainpy/_c/composition.pxd":17
 * # Isotope and IsotopeMap Declarations
 * 
 * cdef struct Isotope:             # <<<<<<<<<<<<<<
 *     double mass
 *     double abundance
 */
struct __pyx_t_7brainpy_2_c_11composition_Isotope {
  double mass;
  double abundance;
  int neutrons;
  int neutron_shift;
};

/* "brainpy/_c/composition.pxd":23
 *     int neutron_shift
 * 
 * cdef struct IsotopeMap:             # <<<<<<<<<<<<<<
 *     Isotope* bins
 *     size_t size
 */
struct __pyx_t_7brainpy_2_c_11composition_IsotopeMap {
  struct __pyx_t_7brainpy_2_c_11composition_Isotope *bins;
  size_t size;
};

/* "brainpy/_c/composition.pxd":36
 * # Element Declarations
 * 
 * cdef struct Element:             # <<<<<<<<<<<<<<
 *     char* symbol
 *     IsotopeMap* isotopes
 */
struct __pyx_t_7brainpy_2_c_11composition_Element {
  char *symbol;
  struct __pyx_t_7brainpy_2_c_11composition_IsotopeMap *isotopes;
  int monoisotopic_isotope_index;
};

/* "brainpy/_c/composition.pxd":56
 * # ElementHashTable and ElementHashBucket Declarations
 * 
 * cdef struct ElementHashBucket:             # <<<<<<<<<<<<<<
 *     Element** elements
 *     size_t used
 */
struct __pyx_t_7brainpy_2_c_11composition_ElementHashBucket {
  struct __pyx_t_7brainpy_2_c_11composition_Element **elements;
  size_t used;
  size_t size;
};

/* "brainpy/_c/composition.pxd":65
 * 
 * 
 * cdef struct ElementHashTable:             # <<<<<<<<<<<<<<
 *     ElementHashBucket* buckets
 *     size_t size
 */
struct __pyx_t_7brainpy_2_c_11composition_ElementHashTable {
  struct __pyx_t_7brainpy_2_c_11composition_ElementHashBucket *buckets;
  size_t size;
};

/* "brainpy/_c/composition.pxd":94
 * # Composition Declarations
 * 
 * cdef struct Composition:             # <<<<<<<<<<<<<<
 *     char** elements
 *     count_type* counts
 */
struct __pyx_t_7brainpy_2_c_11composition_Composition {
  char **elements;
  __pyx_t_7brainpy_2_c_11composition_count_type *counts;
  size_t size;
  size_t used;
  int max_variants;
};

/* "brainpy/_c/composition.pxd":130
 *     @staticmethod
 *     cdef PyComposition _create(Composition* base)
 *     cdef void _set_impl(self, Composition* composition, bint free_existing=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef void _initialize_from_formula(self, str formula)
 */
struct __pyx_opt_args_7brainpy_2_c_11composition_13PyComposition__set_impl {
  int __pyx_n;
  int free_existing;
};

/* "brainpy/_c/composition.pxd":144
 *     cpdef list items(self)
 * 
 *     cpdef pop(self, str key, object default=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef count_type getitem(self, str key)
 */
struct __pyx_opt_args_7brainpy_2_c_11composition_13PyComposition_pop {
  int __pyx_n;
  PyObject *__pyx_default;
};
struct __pyx_t_7brainpy_2_c_13double_vector_DoubleVector;

/* "brainpy/_c/double_vector.pxd":1
 * cdef struct DoubleVector:             # <<<<<<<<<<<<<<
 *     double* v
 *     size_t used
 */
struct __pyx_t_7brainpy_2_c_13double_vector_DoubleVector {
  double *v;
  size_t used;
  size_t size;
};
struct __pyx_t_7brainpy_2_c_18isotopic_constants_PolynomialParameters;
struct __pyx_t_7brainpy_2_c_18isotopic_constants_PhiConstants;
struct __pyx_t_7brainpy_2_c_18isotopic_constants_IsotopicConstants;

/* "brainpy/_c/isotopic_constants.pxd":6
 * from brainpy._c.double_vector cimport DoubleVector
 * 
 * ctypedef DoubleVector dvec             # <<<<<<<<<<<<<<
 * 
 * 
 */
typedef struct __pyx_t_7brainpy_2_c_13double_vector_DoubleVector __pyx_t_7brainpy_2_c_18isotopic_constants_dvec;

/* "brainpy/_c/isotopic_constants.pxd":9
 * 
 * 
 * cdef struct PolynomialParameters:             # <<<<<<<<<<<<<<
 *     dvec* elementary_symmetric_polynomial
 *     dvec* power_sum
 */
struct __pyx_t_7brainpy_2_c_18isotopic_constants_PolynomialParameters {
  __pyx_t_7brainpy_2_c_18isotopic_constants_dvec *elementary_symmetric_polynomial;
  __pyx_t_7brainpy_2_c_18isotopic_constants_dvec *power_sum;
};

/* "brainpy/_c/isotopic_constants.pxd":14
 * 
 * 
 * cdef struct PhiConstants:             # <<<<<<<<<<<<<<
 *     int order
 *     Element* element
 */
struct __pyx_t_7brainpy_2_c_18isotopic_constants_PhiConstants {
  int order;
  struct __pyx_t_7brainpy_2_c_11composition_Element *element;
  struct __pyx_t_7brainpy_2_c_18isotopic_constants_PolynomialParameters *element_coefficients;
  struct __pyx_t_7brainpy_2_c_18isotopic_constants_PolynomialParameters *mass_coefficients;
};

/* "brainpy/_c/isotopic_constants.pxd":21
 * 
 * 
 * cdef struct IsotopicConstants:             # <<<<<<<<<<<<<<
 *     int order
 *     PhiConstants** constants
 */
struct __pyx_t_7brainpy_2_c_18isotopic_constants_IsotopicConstants {
  int order;
  struct __pyx_t_7brainpy_2_c_18isotopic_constants_PhiConstants **constants;
  size_t size;
  size_t used;
};
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_Peak;
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_PeakList;
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_ElementCache;
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_IsotopicDistribution;
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution_make_isotopic_distribution;
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution_guess_npeaks;
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution__isotopic_variants;
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution_isotopic_variants;

/* "brainpy/_c/isotopic_distribution.pxd":7
 * 
 * 
 * cdef struct Peak:             # <<<<<<<<<<<<<<
 *     double mz
 *     double intensity
 */
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_Peak {
  double mz;
  double intensity;
  int charge;
};

/* "brainpy/_c/isotopic_distribution.pxd":13
 * 
 * 
 * cdef struct PeakList:             # <<<<<<<<<<<<<<
 *     Peak* peaks
 *     size_t used
 */
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_PeakList {
  struct __pyx_t_7brainpy_2_c_21isotopic_distribution_Peak *peaks;
  size_t used;
  size_t size;
};

/* "brainpy/_c/isotopic_distribution.pxd":35
 * 
 * 
 * cdef struct ElementCache:             # <<<<<<<<<<<<<<
 *     Element** elements
 *     size_t used
 */
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_ElementCache {
  struct __pyx_t_7brainpy_2_c_11composition_Element **elements;
  size_t used;
  size_t size;
  struct __pyx_t_7brainpy_2_c_11composition_ElementHashTable *source;
};

/* "brainpy/_c/isotopic_distribution.pxd":49
 * 
 * 
 * cdef struct IsotopicDistribution:             # <<<<<<<<<<<<<<
 *     Composition* composition
 *     IsotopicConstants* _isotopic_constants
 */
struct __pyx_t_7brainpy_2_c_21isotopic_distribution_IsotopicDistribution {
  struct __pyx_t_7brainpy_2_c_11composition_Composition *composition;
  struct __pyx_t_7brainpy_2_c_18isotopic_constants_IsotopicConstants *_isotopic_constants;
  int order;
  double average_mass;
  struct __pyx_t_7brainpy_2_c_21isotopic_distribution_Peak *monoisotopic_peak;
  struct __pyx_t_7brainpy_2_c_21isotopic_distribution_ElementCache *cache;
};

/* "brainpy/_c/isotopic_distribution.pxd":58
 * 
 * 
 * cdef IsotopicDistribution* make_isotopic_distribution(Composition* composition, int order, ElementCache* cache=*) nogil             # <<<<<<<<<<<<<<
 * cdef void free_isotopic_distribution(IsotopicDistribution* distribution)  nogil
 * 
 */
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution_make_isotopic_distribution {
  int __pyx_n;
  struct __pyx_t_7brainpy_2_c_21isotopic_distribution_ElementCache *cache;
};

/* "brainpy/_c/isotopic_distribution.pxd":77
 * 
 * cdef int max_variants(Composition* composition, ElementCache* cache) nogil
 * cdef int guess_npeaks(Composition* composition_struct, size_t max_npeaks, ElementCache* cache=*) nogil             # <<<<<<<<<<<<<<
 * 
 * cpdef list _isotopic_variants(object composition, object npeaks=*, int charge=*, double charge_carrier=*)
 */
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution_guess_npeaks {
  int __pyx_n;
  struct __pyx_t_7brainpy_2_c_21isotopic_distribution_ElementCache *cache;
};

/* "brainpy/_c/isotopic_distribution.pxd":79
 * cdef int guess_npeaks(Composition* composition_struct, size_t max_npeaks, ElementCache* cache=*) nogil
 * 
 * cpdef list _isotopic_variants(object composition, object npeaks=*, int charge=*, double charge_carrier=*)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution__isotopic_variants {
  int __pyx_n;
  PyObject *npeaks;
  int charge;
  double charge_carrier;
};

/* "brainpy/_c/isotopic_distribution.pxd":82
 * 
 * 
 * cdef PeakList* isotopic_variants(Composition* composition, int npeaks, int charge=*, double charge_carrier=*) nogil             # <<<<<<<<<<<<<<
 */
struct __pyx_opt_args_7brainpy_2_c_21isotopic_distribution_isotopic_variants {
  int __pyx_n;
  int charge;
  double charge_carrier;
};
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_mass_charge_ratio;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_neutral_mass;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine_scale;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine_isotopic_cluster;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine__isotopic_cluster;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_ignore_below;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_truncate_after;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_scale;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern__scale;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_14AveragineCache_has_mz_charge_pair;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_14AveragineCache_isotopic_cluster;
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_isotopic_shift;

/* "ms_deisotope/_c/averagine.pxd":7
 * cdef double PROTON
 * 
 * cdef double mass_charge_ratio(double neutral_mass, int z, double charge_carrier=*)             # <<<<<<<<<<<<<<
 * cdef double neutral_mass(double mz,  int z, double charge_carrier=*)
 * cdef void slide(double mz, list peaklist)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_mass_charge_ratio {
  int __pyx_n;
  double charge_carrier;
};

/* "ms_deisotope/_c/averagine.pxd":8
 * 
 * cdef double mass_charge_ratio(double neutral_mass, int z, double charge_carrier=*)
 * cdef double neutral_mass(double mz,  int z, double charge_carrier=*)             # <<<<<<<<<<<<<<
 * cdef void slide(double mz, list peaklist)
 * cdef dict scale_dict(dict data, double factor)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_neutral_mass {
  int __pyx_n;
  double charge_carrier;
};

/* "ms_deisotope/_c/averagine.pxd":17
 *         public dict base_composition
 * 
 *     cpdef dict scale(self, double mz, int charge=*, double charge_carrier=*)             # <<<<<<<<<<<<<<
 *     cpdef TheoreticalIsotopicPattern isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)
 *     cdef TheoreticalIsotopicPattern _isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine_scale {
  int __pyx_n;
  int charge;
  double charge_carrier;
};

/* "ms_deisotope/_c/averagine.pxd":18
 * 
 *     cpdef dict scale(self, double mz, int charge=*, double charge_carrier=*)
 *     cpdef TheoreticalIsotopicPattern isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)             # <<<<<<<<<<<<<<
 *     cdef TheoreticalIsotopicPattern _isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine_isotopic_cluster {
  int __pyx_n;
  int charge;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/averagine.pxd":19
 *     cpdef dict scale(self, double mz, int charge=*, double charge_carrier=*)
 *     cpdef TheoreticalIsotopicPattern isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)
 *     cdef TheoreticalIsotopicPattern _isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine__isotopic_cluster {
  int __pyx_n;
  int charge;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/averagine.pxd":39
 *     cdef bint _eq_inst(self, TheoreticalIsotopicPattern other)
 * 
 *     cpdef TheoreticalIsotopicPattern ignore_below(self, double ignore_below=*)             # <<<<<<<<<<<<<<
 *     cpdef TheoreticalIsotopicPattern truncate_after(self, double truncate_after=*)
 *     cpdef TheoreticalIsotopicPattern shift(self, double mz)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_ignore_below {
  int __pyx_n;
  double ignore_below;
};

/* "ms_deisotope/_c/averagine.pxd":40
 * 
 *     cpdef TheoreticalIsotopicPattern ignore_below(self, double ignore_below=*)
 *     cpdef TheoreticalIsotopicPattern truncate_after(self, double truncate_after=*)             # <<<<<<<<<<<<<<
 *     cpdef TheoreticalIsotopicPattern shift(self, double mz)
 *     cpdef TheoreticalIsotopicPattern scale(self, list experimental_distribution, str method=*)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_truncate_after {
  int __pyx_n;
  double truncate_after;
};

/* "ms_deisotope/_c/averagine.pxd":42
 *     cpdef TheoreticalIsotopicPattern truncate_after(self, double truncate_after=*)
 *     cpdef TheoreticalIsotopicPattern shift(self, double mz)
 *     cpdef TheoreticalIsotopicPattern scale(self, list experimental_distribution, str method=*)             # <<<<<<<<<<<<<<
 *     cpdef TheoreticalIsotopicPattern scale_raw(self, double scale_factor)
 *     cpdef double drop_last_peak(self)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_scale {
  int __pyx_n;
  PyObject *method;
};

/* "ms_deisotope/_c/averagine.pxd":53
 * 
 *     @cython.final
 *     cdef inline TheoreticalIsotopicPattern _scale(self, list experimental_distribution, str method=*)             # <<<<<<<<<<<<<<
 * 
 *     @cython.final
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern__scale {
  int __pyx_n;
  PyObject *method;
};

/* "ms_deisotope/_c/averagine.pxd":88
 *     cdef double _make_cache_key(self, double mz)
 * 
 *     cdef TheoreticalIsotopicPattern has_mz_charge_pair(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)             # <<<<<<<<<<<<<<
 *     cpdef TheoreticalIsotopicPattern isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_14AveragineCache_has_mz_charge_pair {
  int __pyx_n;
  int charge;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/averagine.pxd":89
 * 
 *     cdef TheoreticalIsotopicPattern has_mz_charge_pair(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)
 *     cpdef TheoreticalIsotopicPattern isotopic_cluster(self, double mz, int charge=*, double charge_carrier=*, double truncate_after=*, double ignore_below=*)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_14AveragineCache_isotopic_cluster {
  int __pyx_n;
  int charge;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/averagine.pxd":92
 * 
 * 
 * cpdef double isotopic_shift(int charge=*)             # <<<<<<<<<<<<<<
 */
struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_isotopic_shift {
  int __pyx_n;
  int charge;
};
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase_match_theoretical_isotopic_distribution;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase_subtraction;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_next_putative_peak;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_previous_putative_peak;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_next_putative_peak_inplace;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_previous_putative_peak_inplace;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_25AveragineDeconvoluterBase_fit_theoretical_distribution;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_25AveragineDeconvoluterBase__fit_peaks_at_charges;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_30MultiAveragineDeconvoluterBase_fit_theoretical_distribution;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_30MultiAveragineDeconvoluterBase__fit_peaks_at_charges;
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base__get_all_peak_charge_pairs;

/* "ms_deisotope/_c/deconvoluter_base.pxd":42
 *     cdef FittedPeak _has_peak(self, double mz, double error_tolerance)
 * 
 *     cpdef list match_theoretical_isotopic_distribution(self, list theoretical_distribution, double error_tolerance=*)             # <<<<<<<<<<<<<<
 *     cpdef scale_theoretical_distribution(self, TheoreticalIsotopicPattern theoretical_distribution, list experimental_distribution)
 *     cpdef IsotopicFitRecord _evaluate_theoretical_distribution(self, list experimental, TheoreticalIsotopicPattern theoretical, FittedPeak peak, int charge)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase_match_theoretical_isotopic_distribution {
  int __pyx_n;
  double error_tolerance;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":45
 *     cpdef scale_theoretical_distribution(self, TheoreticalIsotopicPattern theoretical_distribution, list experimental_distribution)
 *     cpdef IsotopicFitRecord _evaluate_theoretical_distribution(self, list experimental, TheoreticalIsotopicPattern theoretical, FittedPeak peak, int charge)
 *     cpdef subtraction(self, TheoreticalIsotopicPattern isotopic_cluster, double error_tolerance=*)             # <<<<<<<<<<<<<<
 *     cpdef list fit_incremental_truncation(self, IsotopicFitRecord seed_fit, double lower_bound)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase_subtraction {
  int __pyx_n;
  double error_tolerance;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":50
 *     cpdef bint _check_fit(self, IsotopicFitRecord fit)
 * 
 *     cpdef list _find_next_putative_peak(self, double mz, int charge, int step=*, double tolerance=*)             # <<<<<<<<<<<<<<
 *     cpdef list _find_previous_putative_peak(self, double mz, int charge, int step=*, double tolerance=*)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_next_putative_peak {
  int __pyx_n;
  int step;
  double tolerance;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":51
 * 
 *     cpdef list _find_next_putative_peak(self, double mz, int charge, int step=*, double tolerance=*)
 *     cpdef list _find_previous_putative_peak(self, double mz, int charge, int step=*, double tolerance=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef int _find_next_putative_peak_inplace(self, double mz, int charge, set result, int step=*, double tolerance=*)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_previous_putative_peak {
  int __pyx_n;
  int step;
  double tolerance;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":53
 *     cpdef list _find_previous_putative_peak(self, double mz, int charge, int step=*, double tolerance=*)
 * 
 *     cdef int _find_next_putative_peak_inplace(self, double mz, int charge, set result, int step=*, double tolerance=*)             # <<<<<<<<<<<<<<
 *     cdef int _find_previous_putative_peak_inplace(self, double mz, int charge, set result, int step=*, double tolerance=*)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_next_putative_peak_inplace {
  int __pyx_n;
  int step;
  double tolerance;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":54
 * 
 *     cdef int _find_next_putative_peak_inplace(self, double mz, int charge, set result, int step=*, double tolerance=*)
 *     cdef int _find_previous_putative_peak_inplace(self, double mz, int charge, set result, int step=*, double tolerance=*)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_previous_putative_peak_inplace {
  int __pyx_n;
  int step;
  double tolerance;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":61
 *         public AveragineCache averagine
 * 
 *     cpdef IsotopicFitRecord fit_theoretical_distribution(self, FittedPeak peak, double error_tolerance, int charge,             # <<<<<<<<<<<<<<
 *                                                          double charge_carrier=*, double truncate_after=*,
 *                                                          double ignore_below=*)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_25AveragineDeconvoluterBase_fit_theoretical_distribution {
  int __pyx_n;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":65
 *                                                          double ignore_below=*)
 * 
 *     cpdef set _fit_peaks_at_charges(self, set peak_charge_set, double error_tolerance, double charge_carrier=*, double truncate_after=*,             # <<<<<<<<<<<<<<
 *                                     double ignore_below=*)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_25AveragineDeconvoluterBase__fit_peaks_at_charges {
  int __pyx_n;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":73
 *         public list averagines
 * 
 *     cpdef IsotopicFitRecord fit_theoretical_distribution(self, FittedPeak peak, double error_tolerance, int charge,             # <<<<<<<<<<<<<<
 *                                                          AveragineCache  averagine, double charge_carrier=*, double truncate_after=*,
 *                                                          double ignore_below=*)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_30MultiAveragineDeconvoluterBase_fit_theoretical_distribution {
  int __pyx_n;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":76
 *                                                          AveragineCache  averagine, double charge_carrier=*, double truncate_after=*,
 *                                                          double ignore_below=*)
 *     cpdef set _fit_peaks_at_charges(self, set peak_charge_set, double error_tolerance, double charge_carrier=*, double truncate_after=*,             # <<<<<<<<<<<<<<
 *                                     double ignore_below=*)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_30MultiAveragineDeconvoluterBase__fit_peaks_at_charges {
  int __pyx_n;
  double charge_carrier;
  double truncate_after;
  double ignore_below;
};

/* "ms_deisotope/_c/deconvoluter_base.pxd":83
 * 
 * 
 * cpdef set _get_all_peak_charge_pairs(DeconvoluterBase self, FittedPeak peak, double error_tolerance=*,             # <<<<<<<<<<<<<<
 *                                      object charge_range=*,
 *                                      int left_search_limit=*, int right_search_limit=*,
 */
struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base__get_all_peak_charge_pairs {
  int __pyx_n;
  double error_tolerance;
  PyObject *charge_range;
  int left_search_limit;
  int right_search_limit;
  int recalculate_starting_peak;
  int use_quick_charge;
};
struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_17IsotopicFitRecord__create;
struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_14MSDeconVFitter_score_peak;
struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_21InterferenceDetection_detect_interference;

/* "ms_deisotope/_c/scoring.pxd":29
 * 
 *     @staticmethod
 *     cdef IsotopicFitRecord _create(FittedPeak seed_peak, double score, int charge, TheoreticalIsotopicPattern theoretical,             # <<<<<<<<<<<<<<
 *                                    list experimental, object data=*, int missed_peaks=*)
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_17IsotopicFitRecord__create {
  int __pyx_n;
  PyObject *data;
  int missed_peaks;
};

/* "ms_deisotope/_c/scoring.pxd":75
 *     cdef public double mass_error_tolerance
 * 
 *     cdef double score_peak(self, FittedPeak obs, TheoreticalPeak theo, double mass_error_tolerance=*, double minimum_signal_to_noise=*) nogil             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_14MSDeconVFitter_score_peak {
  int __pyx_n;
  double mass_error_tolerance;
  double minimum_signal_to_noise;
};

/* "ms_deisotope/_c/scoring.pxd":92
 *     cdef public PeakSet peaklist
 * 
 *     cdef double detect_interference(self, list experimental_peaks, double lower=*, double upper=*)             # <<<<<<<<<<<<<<
 * 
 * 
 */
struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_21InterferenceDetection_detect_interference {
  int __pyx_n;
  double lower;
  double upper;
};
struct __pyx_opt_args_12ms_deisotope_2_c_8peak_set_19DeconvolutedPeakSet__has_peak;
struct __pyx_opt_args_12ms_deisotope_2_c_8peak_set_19DeconvolutedPeakSet_has_peak;
struct __pyx_opt_args_12ms_deisotope_2_c_8peak_set_19DeconvolutedPeakSet_all_peaks_for;
struct __pyx_t_12ms_deisotope_2_c_8peak_set_index_cell;
struct __pyx_t_12ms_deisotope_2_c_8peak_set_index_list;

/* "ms_deisotope/_c/peak_set.pxd":87
 *     cpdef DeconvolutedPeakSet copy(self)
 * 
 *     cdef DeconvolutedPeak _has_peak(self, double neutral_mass, double error_tolerance=*, bint use_mz=*)             # <<<<<<<<<<<<<<
 * 
 *     cpdef DeconvolutedPeak has_peak(self, double neutral_mass, double error_tolerance=*, bint use_mz=*)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_8peak_set_19DeconvolutedPeakSet__has_peak {
  int __pyx_n;
  double error_tolerance;
  int use_mz;
};

/* "ms_deisotope/_c/peak_set.pxd":89
 *     cdef DeconvolutedPeak _has_peak(self, double neutral_mass, double error_tolerance=*, bint use_mz=*)
 * 
 *     cpdef DeconvolutedPeak has_peak(self, double neutral_mass, double error_tolerance=*, bint use_mz=*)             # <<<<<<<<<<<<<<
 * 
 *     cpdef tuple all_peaks_for(self, double neutral_mass, double tolerance=*)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_8peak_set_19DeconvolutedPeakSet_has_peak {
  int __pyx_n;
  double error_tolerance;
  int use_mz;
};

/* "ms_deisotope/_c/peak_set.pxd":91
 *     cpdef DeconvolutedPeak has_peak(self, double neutral_mass, double error_tolerance=*, bint use_mz=*)
 * 
 *     cpdef tuple all_peaks_for(self, double neutral_mass, double tolerance=*)             # <<<<<<<<<<<<<<
 * 
 *     cdef DeconvolutedPeak _get_nearest_peak(self, double neutral_mass, double* errout)
 */
struct __pyx_opt_args_12ms_deisotope_2_c_8peak_set_19DeconvolutedPeakSet_all_peaks_for {
  int __pyx_n;
  double tolerance;
};

/* "ms_deisotope/_c/peak_set.pxd":118
 * cdef size_t INTERVAL_INDEX_SIZE
 * 
 * cdef struct index_cell:             # <<<<<<<<<<<<<<
 *     double center_value
 *     size_t start
 */
struct __pyx_t_12ms_deisotope_2_c_8peak_set_index_cell {
  double center_value;
  size_t start;
  size_t end;
};

/* "ms_deisotope/_c/peak_set.pxd":124
 * 
 * 
 * cdef struct index_list:             # <<<<<<<<<<<<<<
 *     index_cell* index
 *     size_t size
 */
struct __pyx_t_12ms_deisotope_2_c_8peak_set_index_list {
  struct __pyx_t_12ms_deisotope_2_c_8peak_set_index_cell *index;
  size_t size;
  double low;
  double high;
};

/* "ms_peak_picker/_c/peak_set.pxd":2
 * 
 * cdef class PeakBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mz
 */
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase {
  PyObject_HEAD
  struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakBase *__pyx_vtab;
  double mz;
  double intensity;
  double area;
};


/* "ms_peak_picker/_c/peak_set.pxd":12
 * 
 * 
 * cdef class FittedPeak(PeakBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double signal_to_noise
 */
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak {
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase __pyx_base;
  double signal_to_noise;
  double full_width_at_half_max;
  double left_width;
  double right_width;
  long peak_count;
  long index;
};


/* "ms_peak_picker/_c/peak_set.pxd":29
 *                             double area)
 * 
 * cdef class PeakSet(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public tuple peaks
 */
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet {
  PyObject_HEAD
  struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakSet *__pyx_vtab;
  PyObject *peaks;
  int indexed;
};


/* "ms_peak_picker/_c/peak_set.pxd":83
 * 
 * 
 * cdef class PeakSetIndexed(PeakSet):             # <<<<<<<<<<<<<<
 *     cdef:
 *         double* mz_index
 */
struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSetIndexed {
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet __pyx_base;
  double *mz_index;
  struct __pyx_t_14ms_peak_picker_2_c_8peak_set_index_list *interval_index;
};


/* "ms_peak_picker/_c/peak_index.pxd":5
 * 
 * 
 * cdef class PeakIndex(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public np.ndarray mz_array
 */
struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex {
  PyObject_HEAD
  struct __pyx_vtabstruct_14ms_peak_picker_2_c_10peak_index_PeakIndex *__pyx_vtab;
  PyArrayObject *mz_array;
  PyArrayObject *intensity_array;
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *peaks;
};


/* "brainpy/_c/composition.pxd":123
 * 
 * 
 * cdef class PyComposition(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         Composition* impl
 */
struct __pyx_obj_7brainpy_2_c_11composition_PyComposition {
  PyObject_HEAD
  struct __pyx_vtabstruct_7brainpy_2_c_11composition_PyComposition *__pyx_vtab;
  struct __pyx_t_7brainpy_2_c_11composition_Composition *impl;
  double cached_mass;
  int _clean;
};


/* "brainpy/_c/isotopic_distribution.pxd":63
 * 
 * @freelist(100000)
 * cdef class TheoreticalPeak(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mz
 */
struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak {
  PyObject_HEAD
  struct __pyx_vtabstruct_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *__pyx_vtab;
  double mz;
  double intensity;
  int charge;
};


/* "ms_deisotope/_c/averagine.pxd":12
 * cdef dict scale_dict(dict data, double factor)
 * 
 * cdef class Averagine(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double base_mass
 */
struct __pyx_obj_12ms_deisotope_2_c_9averagine_Averagine {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_Averagine *__pyx_vtab;
  double base_mass;
  PyObject *base_composition;
};


/* "ms_deisotope/_c/averagine.pxd":23
 * 
 * @cython.final
 * cdef class TheoreticalIsotopicPattern(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public list peaklist
 */
struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *__pyx_vtab;
  PyObject *peaklist;
  double origin;
  double offset;
};


/* "ms_deisotope/_c/averagine.pxd":79
 * 
 * @cython.final
 * cdef class AveragineCache(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public dict backend
 */
struct __pyx_obj_12ms_deisotope_2_c_9averagine_AveragineCache {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_AveragineCache *__pyx_vtab;
  PyObject *backend;
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_Averagine *averagine;
  double cache_truncation;
  int enabled;
};


/* "ms_deisotope/_c/deconvoluter_base.pxd":25
 * 
 * 
 * cdef class DeconvoluterBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public bint use_subtraction
 */
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *__pyx_vtab;
  int use_subtraction;
  PyObject *scale_method;
  int merge_isobaric_peaks;
  double minimum_intensity;
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *peaklist;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *scorer;
  int verbose;
  PyObject *_slice_cache;
};


/* "ms_deisotope/_c/deconvoluter_base.pxd":57
 * 
 * 
 * cdef class AveragineDeconvoluterBase(DeconvoluterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public AveragineCache averagine
 */
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase {
  struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase __pyx_base;
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_AveragineCache *averagine;
};


/* "ms_deisotope/_c/deconvoluter_base.pxd":69
 * 
 * 
 * cdef class MultiAveragineDeconvoluterBase(DeconvoluterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public list averagines
 */
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_MultiAveragineDeconvoluterBase {
  struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase __pyx_base;
  PyObject *averagines;
};


/* "ms_deisotope/_c/deconvoluter_base.pxd":91
 * 
 * 
 * cdef class ChargeIterator(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public int lower
 */
struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *__pyx_vtab;
  int lower;
  int upper;
  int sign;
  int *values;
  size_t size;
  size_t index;
};


/* "ms_deisotope/_c/scoring.pxd":16
 * 
 * 
 * cdef class IsotopicFitRecord(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public FittedPeak seed_peak
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *__pyx_vtab;
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *seed_peak;
  double score;
  int charge;
  PyObject *experimental;
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *theoretical;
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *monoisotopic_peak;
  int missed_peaks;
  PyObject *data;
  Py_hash_t _hash;
};


/* "ms_deisotope/_c/scoring.pxd":38
 * 
 * 
 * cdef class FitSelectorBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double minimum_score
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_FitSelectorBase *__pyx_vtab;
  double minimum_score;
};


/* "ms_deisotope/_c/scoring.pxd":50
 * 
 * 
 * cdef class IsotopicFitterBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public FitSelectorBase select
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *__pyx_vtab;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase *select;
};


/* "ms_deisotope/_c/scoring.pxd":62
 * 
 * 
 * cdef class LeastSquaresFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_LeastSquaresFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};


/* "ms_deisotope/_c/scoring.pxd":66
 * 
 * 
 * cdef class GTestFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_GTestFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};


/* "ms_deisotope/_c/scoring.pxd":69
 *     pass
 * 
 * cdef class ScaledGTestFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledGTestFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};


/* "ms_deisotope/_c/scoring.pxd":72
 *     pass
 * 
 * cdef class MSDeconVFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef public double mass_error_tolerance
 * 
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_MSDeconVFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
  double mass_error_tolerance;
};


/* "ms_deisotope/_c/scoring.pxd":78
 * 
 * 
 * cdef class PenalizedMSDeconVFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mass_error_tolerance
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_PenalizedMSDeconVFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
  double mass_error_tolerance;
  double penalty_factor;
};


/* "ms_deisotope/_c/scoring.pxd":84
 * 
 * 
 * cdef class FunctionScorer(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         object function
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_FunctionScorer {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
  PyObject *function;
};


/* "ms_deisotope/_c/scoring.pxd":89
 * 
 * 
 * cdef class InterferenceDetection(object):             # <<<<<<<<<<<<<<
 *     cdef public PeakSet peaklist
 * 
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_InterferenceDetection {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_InterferenceDetection *__pyx_vtab;
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *peaklist;
};


/* "ms_deisotope/_c/scoring.pxd":95
 * 
 * 
 * cdef class DistinctPatternFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public InterferenceDetection interference_detector
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_DistinctPatternFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_InterferenceDetection *interference_detector;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledGTestFitter *g_test_scaled;
  double peak_count_scale;
  double domain_scale;
};


/* "ms_deisotope/_c/scoring.pxd":102
 *         public double domain_scale
 * 
 * cdef class ScaledPenalizedMSDeconvFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double scale_factor
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
  double scale_factor;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_PenalizedMSDeconVFitter *scorer;
};


/* "ms_deisotope/_c/scoring.pxd":112
 * 
 * 
 * cdef class DotProductFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 */
struct __pyx_obj_12ms_deisotope_2_c_7scoring_DotProductFitter {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};


/* "ms_deisotope/_c/peak_set.pxd":5
 * 
 * 
 * cdef class _Index:             # <<<<<<<<<<<<<<
 *     cdef:
 *         public size_t neutral_mass
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set__Index {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set__Index *__pyx_vtab;
  size_t neutral_mass;
  size_t mz;
};


/* "ms_deisotope/_c/peak_set.pxd":14
 * 
 * 
 * cdef class EnvelopePair:             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mz
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_EnvelopePair {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_EnvelopePair *__pyx_vtab;
  double mz;
  double intensity;
};


/* "ms_deisotope/_c/peak_set.pxd":25
 * 
 * 
 * cdef class Envelope:             # <<<<<<<<<<<<<<
 *     cdef public tuple pairs
 * 
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_Envelope *__pyx_vtab;
  PyObject *pairs;
};


/* "ms_deisotope/_c/peak_set.pxd":40
 * 
 * 
 * cdef class DeconvolutedPeak(PeakBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double neutral_mass
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak {
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase __pyx_base;
  double neutral_mass;
  double signal_to_noise;
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set__Index *_index;
  double full_width_at_half_max;
  int charge;
  double a_to_a2_ratio;
  double most_abundant_mass;
  double average_mass;
  double score;
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *envelope;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *fit;
  int chosen_for_msms;
};


/* "ms_deisotope/_c/peak_set.pxd":66
 * 
 * 
 * cdef class IonMobilityDeconvolutedPeak(DeconvolutedPeak):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double drift_time
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_IonMobilityDeconvolutedPeak {
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak __pyx_base;
  double drift_time;
};


/* "ms_deisotope/_c/peak_set.pxd":71
 * 
 * 
 * cdef class DeconvolutedPeakSolution(DeconvolutedPeak):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public object solution
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSolution {
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak __pyx_base;
  PyObject *solution;
};


/* "ms_deisotope/_c/peak_set.pxd":75
 *         public object solution
 * 
 * cdef class DeconvolutedPeakSet(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public tuple peaks
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet {
  PyObject_HEAD
  struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *__pyx_vtab;
  PyObject *peaks;
  PyObject *_mz_ordered;
  int indexed;
};


/* "ms_deisotope/_c/peak_set.pxd":104
 * 
 * 
 * cdef class DeconvolutedPeakSetIndexed(DeconvolutedPeakSet):             # <<<<<<<<<<<<<<
 *     cdef:
 *         double* neutral_mass_array
 */
struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed {
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet __pyx_base;
  double *neutral_mass_array;
  double *mz_array;
  struct __pyx_t_12ms_deisotope_2_c_8peak_set_index_list *interval_index;
  size_t _size;
};



/* "ms_peak_picker/_c/peak_set.pxd":2
 * 
 * cdef class PeakBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mz
 */

struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakBase {
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *(*clone)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *(*copy)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakBase *__pyx_vtabptr_14ms_peak_picker_2_c_8peak_set_PeakBase;


/* "ms_peak_picker/_c/peak_set.pxd":12
 * 
 * 
 * cdef class FittedPeak(PeakBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double signal_to_noise
 */

struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_FittedPeak {
  struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakBase __pyx_base;
  int (*_eq)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*_create)(double, double, double, double, double, double, long, long, double);
};
static struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_FittedPeak *__pyx_vtabptr_14ms_peak_picker_2_c_8peak_set_FittedPeak;


/* "ms_peak_picker/_c/peak_set.pxd":29
 *                             double area)
 * 
 * cdef class PeakSet(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public tuple peaks
 */

struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakSet {
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *(*_create)(PyObject *);
  PyObject *(*reindex)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch);
  size_t (*_index)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*_get_nearest_peak)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, double, double *);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*_has_peak)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, double, struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_7PeakSet__has_peak *__pyx_optional_args);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *(*clone)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *(*copy)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *(*_between)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, double, double);
  int (*_between_bounds)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, double, double, size_t *, size_t *);
  PyObject *(*all_peaks_for)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_7PeakSet_all_peaks_for *__pyx_optional_args);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*getitem)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, size_t);
  size_t (*get_size)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *);
  int (*_eq)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakSet *__pyx_vtabptr_14ms_peak_picker_2_c_8peak_set_PeakSet;


/* "ms_peak_picker/_c/peak_set.pxd":83
 * 
 * 
 * cdef class PeakSetIndexed(PeakSet):             # <<<<<<<<<<<<<<
 *     cdef:
 *         double* mz_index
 */

struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakSetIndexed {
  struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakSet __pyx_base;
  PyObject *(*_allocate_index)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSetIndexed *, size_t, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*has_peak_hinted)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSetIndexed *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_14ms_peak_picker_2_c_8peak_set_14PeakSetIndexed_has_peak_hinted *__pyx_optional_args);
};
static struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakSetIndexed *__pyx_vtabptr_14ms_peak_picker_2_c_8peak_set_PeakSetIndexed;


/* "ms_peak_picker/_c/peak_index.pxd":5
 * 
 * 
 * cdef class PeakIndex(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public np.ndarray mz_array
 */

struct __pyx_vtabstruct_14ms_peak_picker_2_c_10peak_index_PeakIndex {
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*_has_peak)(struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *, double, struct __pyx_opt_args_14ms_peak_picker_2_c_10peak_index_9PeakIndex__has_peak *__pyx_optional_args);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *(*_between)(struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *, double, double);
  PyObject *(*all_peaks_for)(struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_14ms_peak_picker_2_c_10peak_index_9PeakIndex_all_peaks_for *__pyx_optional_args);
  size_t (*get_size)(struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *);
  struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *(*clone)(struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *(*copy)(struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_14ms_peak_picker_2_c_10peak_index_PeakIndex *__pyx_vtabptr_14ms_peak_picker_2_c_10peak_index_PeakIndex;


/* "brainpy/_c/composition.pxd":123
 * 
 * 
 * cdef class PyComposition(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         Composition* impl
 */

struct __pyx_vtabstruct_7brainpy_2_c_11composition_PyComposition {
  struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *(*_create)(struct __pyx_t_7brainpy_2_c_11composition_Composition *);
  void (*_set_impl)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, struct __pyx_t_7brainpy_2_c_11composition_Composition *, struct __pyx_opt_args_7brainpy_2_c_11composition_13PyComposition__set_impl *__pyx_optional_args);
  void (*_initialize_from_formula)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, PyObject *);
  double (*mass)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, int __pyx_skip_dispatch);
  int (*__pyx___equality_pycomposition)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, int __pyx_skip_dispatch);
  int (*__pyx___equality_dict)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, PyObject *, int __pyx_skip_dispatch);
  struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *(*copy)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, int __pyx_skip_dispatch);
  PyObject *(*update)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*keys)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, int __pyx_skip_dispatch);
  PyObject *(*values)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, int __pyx_skip_dispatch);
  PyObject *(*items)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, int __pyx_skip_dispatch);
  PyObject *(*pop)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_7brainpy_2_c_11composition_13PyComposition_pop *__pyx_optional_args);
  __pyx_t_7brainpy_2_c_11composition_count_type (*getitem)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, PyObject *);
  void (*setitem)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, PyObject *, __pyx_t_7brainpy_2_c_11composition_count_type);
  void (*increment)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, PyObject *, __pyx_t_7brainpy_2_c_11composition_count_type);
  void (*add_from)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *);
  void (*subtract_from)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *);
  void (*scale_by)(struct __pyx_obj_7brainpy_2_c_11composition_PyComposition *, long);
};
static struct __pyx_vtabstruct_7brainpy_2_c_11composition_PyComposition *__pyx_vtabptr_7brainpy_2_c_11composition_PyComposition;


/* "brainpy/_c/isotopic_distribution.pxd":63
 * 
 * @freelist(100000)
 * cdef class TheoreticalPeak(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mz
 */

struct __pyx_vtabstruct_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak {
  struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *(*_create)(double, double, int);
  int (*_eq)(struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *, struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *, int __pyx_skip_dispatch);
  struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *(*clone)(struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *__pyx_vtabptr_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak;


/* "ms_deisotope/_c/averagine.pxd":12
 * cdef dict scale_dict(dict data, double factor)
 * 
 * cdef class Averagine(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double base_mass
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_Averagine {
  PyObject *(*scale)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_Averagine *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine_scale *__pyx_optional_args);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*isotopic_cluster)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_Averagine *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine_isotopic_cluster *__pyx_optional_args);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*_isotopic_cluster)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_Averagine *, double, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_9Averagine__isotopic_cluster *__pyx_optional_args);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_Averagine *__pyx_vtabptr_12ms_deisotope_2_c_9averagine_Averagine;


/* "ms_deisotope/_c/averagine.pxd":23
 * 
 * @cython.final
 * cdef class TheoreticalIsotopicPattern(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public list peaklist
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern {
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*_create)(PyObject *, double, double);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*clone)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch);
  int (*_eq)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, PyObject *, int __pyx_skip_dispatch);
  int (*_eq_inst)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*ignore_below)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_ignore_below *__pyx_optional_args);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*truncate_after)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_truncate_after *__pyx_optional_args);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*shift)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, double, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*scale)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern_scale *__pyx_optional_args);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*scale_raw)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, double, int __pyx_skip_dispatch);
  double (*drop_last_peak)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch);
  double (*total)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*normalize)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*_scale)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, PyObject *, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_26TheoreticalIsotopicPattern__scale *__pyx_optional_args);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*clone_shift)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, double);
  struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *(*get)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, Py_ssize_t);
  size_t (*get_size)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *);
  double (*get_monoisotopic_mz)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *);
  PyObject *(*get_processed_peaks)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *);
  size_t (*basepeak_index)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch);
  PyObject *(*incremental_truncation)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, double, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*clone_drop_last)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *__pyx_vtabptr_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern;


/* "ms_deisotope/_c/averagine.pxd":79
 * 
 * @cython.final
 * cdef class AveragineCache(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public dict backend
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_AveragineCache {
  double (*_make_cache_key)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_AveragineCache *, double);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*has_mz_charge_pair)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_AveragineCache *, double, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_14AveragineCache_has_mz_charge_pair *__pyx_optional_args);
  struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *(*isotopic_cluster)(struct __pyx_obj_12ms_deisotope_2_c_9averagine_AveragineCache *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_14AveragineCache_isotopic_cluster *__pyx_optional_args);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_9averagine_AveragineCache *__pyx_vtabptr_12ms_deisotope_2_c_9averagine_AveragineCache;


/* "ms_deisotope/_c/deconvoluter_base.pxd":25
 * 
 * 
 * cdef class DeconvoluterBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public bint use_subtraction
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase {
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *(*between)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, double, double, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*has_peak)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, double, double, int __pyx_skip_dispatch);
  struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *(*_has_peak)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, double, double);
  PyObject *(*match_theoretical_isotopic_distribution)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase_match_theoretical_isotopic_distribution *__pyx_optional_args);
  PyObject *(*scale_theoretical_distribution)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, PyObject *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *(*_evaluate_theoretical_distribution)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, PyObject *, struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, int, int __pyx_skip_dispatch);
  PyObject *(*subtraction)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase_subtraction *__pyx_optional_args);
  PyObject *(*fit_incremental_truncation)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, double, int __pyx_skip_dispatch);
  int (*_check_fit)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, int __pyx_skip_dispatch);
  PyObject *(*_find_next_putative_peak)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, double, int, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_next_putative_peak *__pyx_optional_args);
  PyObject *(*_find_previous_putative_peak)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, double, int, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_previous_putative_peak *__pyx_optional_args);
  int (*_find_next_putative_peak_inplace)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, double, int, PyObject *, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_next_putative_peak_inplace *__pyx_optional_args);
  int (*_find_previous_putative_peak_inplace)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, double, int, PyObject *, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_16DeconvoluterBase__find_previous_putative_peak_inplace *__pyx_optional_args);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *__pyx_vtabptr_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase;


/* "ms_deisotope/_c/deconvoluter_base.pxd":57
 * 
 * 
 * cdef class AveragineDeconvoluterBase(DeconvoluterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public AveragineCache averagine
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase __pyx_base;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *(*fit_theoretical_distribution)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, double, int, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_25AveragineDeconvoluterBase_fit_theoretical_distribution *__pyx_optional_args);
  PyObject *(*_fit_peaks_at_charges)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase *, PyObject *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_25AveragineDeconvoluterBase__fit_peaks_at_charges *__pyx_optional_args);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase *__pyx_vtabptr_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase;


/* "ms_deisotope/_c/deconvoluter_base.pxd":69
 * 
 * 
 * cdef class MultiAveragineDeconvoluterBase(DeconvoluterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public list averagines
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_MultiAveragineDeconvoluterBase {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase __pyx_base;
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *(*fit_theoretical_distribution)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_MultiAveragineDeconvoluterBase *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, double, int, struct __pyx_obj_12ms_deisotope_2_c_9averagine_AveragineCache *, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_30MultiAveragineDeconvoluterBase_fit_theoretical_distribution *__pyx_optional_args);
  PyObject *(*_fit_peaks_at_charges)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_MultiAveragineDeconvoluterBase *, PyObject *, double, int __pyx_skip_dispatch, struct __pyx_opt_args_12ms_deisotope_2_c_17deconvoluter_base_30MultiAveragineDeconvoluterBase__fit_peaks_at_charges *__pyx_optional_args);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_MultiAveragineDeconvoluterBase *__pyx_vtabptr_12ms_deisotope_2_c_17deconvoluter_base_MultiAveragineDeconvoluterBase;


/* "ms_deisotope/_c/deconvoluter_base.pxd":91
 * 
 * 
 * cdef class ChargeIterator(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public int lower
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator {
  struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *(*_create)(int, int);
  struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *(*from_tuple)(PyObject *);
  struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *(*from_quickcharge)(PyObject *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *);
  PyObject *(*sequence_from_quickcharge)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, int __pyx_skip_dispatch);
  PyObject *(*make_sequence)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *, int __pyx_skip_dispatch);
  void (*release_sequence)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *);
  void (*set_bounds)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *, int, int);
  int (*has_more)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *, int __pyx_skip_dispatch);
  PyObject *(*reset)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *, int __pyx_skip_dispatch);
  int (*get_next_value)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *, int __pyx_skip_dispatch);
  size_t (*get_size)(struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator *__pyx_vtabptr_12ms_deisotope_2_c_17deconvoluter_base_ChargeIterator;


/* "ms_deisotope/_c/scoring.pxd":16
 * 
 * 
 * cdef class IsotopicFitRecord(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public FittedPeak seed_peak
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitRecord {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *(*_create)(struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, double, int, struct __pyx_obj_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern *, PyObject *, struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_17IsotopicFitRecord__create *__pyx_optional_args);
  int (*_eq)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, int __pyx_skip_dispatch);
  int (*_ne)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, int __pyx_skip_dispatch);
  int (*_lt)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, int __pyx_skip_dispatch);
  int (*_gt)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_IsotopicFitRecord;


/* "ms_deisotope/_c/scoring.pxd":38
 * 
 * 
 * cdef class FitSelectorBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double minimum_score
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_FitSelectorBase {
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *(*best)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase *, PyObject *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *(*_best_from_set)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase *, PyObject *);
  int (*reject)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, int __pyx_skip_dispatch);
  int (*reject_score)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase *, double, int __pyx_skip_dispatch);
  int (*is_maximizing)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_FitSelectorBase *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_FitSelectorBase *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_FitSelectorBase;


/* "ms_deisotope/_c/scoring.pxd":50
 * 
 * 
 * cdef class IsotopicFitterBase(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public FitSelectorBase select
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase {
  double (*_evaluate)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, PyObject *, PyObject *, int __pyx_skip_dispatch);
  int (*reject)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *, struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitRecord *, int __pyx_skip_dispatch);
  int (*reject_score)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *, double, int __pyx_skip_dispatch);
  int (*is_maximizing)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *(*_configure)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *, struct __pyx_obj_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase *, PyObject *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_IsotopicFitterBase;


/* "ms_deisotope/_c/scoring.pxd":62
 * 
 * 
 * cdef class LeastSquaresFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_LeastSquaresFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_LeastSquaresFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_LeastSquaresFitter;


/* "ms_deisotope/_c/scoring.pxd":66
 * 
 * 
 * cdef class GTestFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_GTestFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_GTestFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_GTestFitter;


/* "ms_deisotope/_c/scoring.pxd":69
 *     pass
 * 
 * cdef class ScaledGTestFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_ScaledGTestFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_ScaledGTestFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_ScaledGTestFitter;


/* "ms_deisotope/_c/scoring.pxd":72
 *     pass
 * 
 * cdef class MSDeconVFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef public double mass_error_tolerance
 * 
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_MSDeconVFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
  double (*score_peak)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_MSDeconVFitter *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_FittedPeak *, struct __pyx_obj_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak *, struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_14MSDeconVFitter_score_peak *__pyx_optional_args);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_MSDeconVFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_MSDeconVFitter;


/* "ms_deisotope/_c/scoring.pxd":78
 * 
 * 
 * cdef class PenalizedMSDeconVFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mass_error_tolerance
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_PenalizedMSDeconVFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_PenalizedMSDeconVFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_PenalizedMSDeconVFitter;


/* "ms_deisotope/_c/scoring.pxd":84
 * 
 * 
 * cdef class FunctionScorer(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         object function
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_FunctionScorer {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_FunctionScorer *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_FunctionScorer;


/* "ms_deisotope/_c/scoring.pxd":89
 * 
 * 
 * cdef class InterferenceDetection(object):             # <<<<<<<<<<<<<<
 *     cdef public PeakSet peaklist
 * 
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_InterferenceDetection {
  double (*detect_interference)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_InterferenceDetection *, PyObject *, struct __pyx_opt_args_12ms_deisotope_2_c_7scoring_21InterferenceDetection_detect_interference *__pyx_optional_args);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_InterferenceDetection *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_InterferenceDetection;


/* "ms_deisotope/_c/scoring.pxd":95
 * 
 * 
 * cdef class DistinctPatternFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public InterferenceDetection interference_detector
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_DistinctPatternFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_DistinctPatternFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_DistinctPatternFitter;


/* "ms_deisotope/_c/scoring.pxd":102
 *         public double domain_scale
 * 
 * cdef class ScaledPenalizedMSDeconvFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double scale_factor
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
  double (*_calculate_scale_factor)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch);
  void (*scale_fitted_peaks)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter *, PyObject *, double);
  void (*scale_theoretical_peaks)(struct __pyx_obj_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter *, PyObject *, double);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_ScaledPenalizedMSDeconvFitter;


/* "ms_deisotope/_c/scoring.pxd":112
 * 
 * 
 * cdef class DotProductFitter(IsotopicFitterBase):             # <<<<<<<<<<<<<<
 *     pass
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_DotProductFitter {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_IsotopicFitterBase __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_7scoring_DotProductFitter *__pyx_vtabptr_12ms_deisotope_2_c_7scoring_DotProductFitter;


/* "ms_deisotope/_c/peak_set.pxd":5
 * 
 * 
 * cdef class _Index:             # <<<<<<<<<<<<<<
 *     cdef:
 *         public size_t neutral_mass
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set__Index {
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set__Index *(*_create)(size_t, size_t);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set__Index *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set__Index;


/* "ms_deisotope/_c/peak_set.pxd":14
 * 
 * 
 * cdef class EnvelopePair:             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double mz
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_EnvelopePair {
  int (*_eq)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_EnvelopePair *, struct __pyx_obj_12ms_deisotope_2_c_8peak_set_EnvelopePair *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_EnvelopePair *(*_create)(double, double);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_EnvelopePair *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set_EnvelopePair;


/* "ms_deisotope/_c/peak_set.pxd":25
 * 
 * 
 * cdef class Envelope:             # <<<<<<<<<<<<<<
 *     cdef public tuple pairs
 * 
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_Envelope {
  size_t (*get_size)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *);
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_EnvelopePair *(*getitem)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *, size_t);
  int (*_eq)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *, struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *(*clone)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *(*_create)(PyObject *);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_Envelope *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set_Envelope;


/* "ms_deisotope/_c/peak_set.pxd":40
 * 
 * 
 * cdef class DeconvolutedPeak(PeakBase):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double neutral_mass
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak {
  struct __pyx_vtabstruct_14ms_peak_picker_2_c_8peak_set_PeakBase __pyx_base;
  int (*_eq)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak *, struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak *, int __pyx_skip_dispatch);
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak *(*_create_simple)(double, double, int, double, double, struct __pyx_obj_12ms_deisotope_2_c_8peak_set_Envelope *);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak;


/* "ms_deisotope/_c/peak_set.pxd":66
 * 
 * 
 * cdef class IonMobilityDeconvolutedPeak(DeconvolutedPeak):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public double drift_time
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_IonMobilityDeconvolutedPeak {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_IonMobilityDeconvolutedPeak *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set_IonMobilityDeconvolutedPeak;


/* "ms_deisotope/_c/peak_set.pxd":71
 * 
 * 
 * cdef class DeconvolutedPeakSolution(DeconvolutedPeak):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public object solution
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSolution {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak __pyx_base;
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSolution *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSolution;


/* "ms_deisotope/_c/peak_set.pxd":75
 *         public object solution
 * 
 * cdef class DeconvolutedPeakSet(object):             # <<<<<<<<<<<<<<
 *     cdef:
 *         public tuple peaks
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet {
  PyObject *(*reindex)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *, int __pyx_skip_dispatch);
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  size_t (*get_size)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *);
  struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeak *(*getitem)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *, size_t);
  PyObject *(*getslice)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *, size_t, size_t);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet;


/* "ms_deisotope/_c/peak_set.pxd":104
 * 
 * 
 * cdef class DeconvolutedPeakSetIndexed(DeconvolutedPeakSet):             # <<<<<<<<<<<<<<
 *     cdef:
 *         double* neutral_mass_array
 */

struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed {
  struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet __pyx_base;
  void (*_build_index_arrays)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed *);
  int (*_interval_for)(struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed *, double, double, size_t *, size_t *);
};
static struct __pyx_vtabstruct_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed *__pyx_vtabptr_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed;

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    } while (0)
#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)

/* PyObjectGetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
#endif

/* GetBuiltinName.proto */
static PyObject *__Pyx_GetBuiltinName(PyObject *name);

/* IsLittleEndian.proto */
static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);

/* BufferFormatCheck.proto */
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type);

/* BufferGetAndValidate.proto */
#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\
    ((obj == Py_None || obj == NULL) ?\
    (__Pyx_ZeroBuffer(buf), 0) :\
    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))
static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static void __Pyx_ZeroBuffer(Py_buffer* buf);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };
static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };

#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#define __Pyx_PyErr_Occurred()  __pyx_tstate->curexc_type
#else
#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  PyErr_Occurred()
#endif

/* PyErrFetchRestore.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* PyDictVersioning.proto */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __pyx_dict_cached_value;\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
    }\
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
#else
#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

/* GetModuleGlobalName.proto */
#if CYTHON_USE_DICT_VERSIONS
#define __Pyx_GetModuleGlobalName(var, name)  {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
}
#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
}
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* PyObjectCall.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
#else
#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
#endif

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

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

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

/* DictGetItem.proto */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif

/* PyCFunctionFastCall.proto */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
#else
#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
#endif

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs);
#else
#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
#endif
#define __Pyx_BUILD_ASSERT_EXPR(cond)\
    (sizeof(char [1 - 2*!(cond)]) - 1)
#ifndef Py_MEMBER_SIZE
#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member)
#endif
  static size_t __pyx_pyframe_localsplus_offset = 0;
  #include "frameobject.h"
  #define __Pxy_PyFrame_Initialize_Offsets()\
    ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\
     (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus)))
  #define __Pyx_PyFrame_GetLocalsplus(frame)\
    (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset))
#endif

/* PyObjectCall2Args.proto */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2);

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectCallOneArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);

/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

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

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

/* PyDictContains.proto */
static CYTHON_INLINE int __Pyx_PyDict_ContainsTF(PyObject* item, PyObject* dict, int eq) {
    int result = PyDict_Contains(dict, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

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

/* SetItemInt.proto */
#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 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);

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

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

/* PyObjectGetMethod.proto */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method);

/* PyObjectCallMethod0.proto */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* UnpackItemEndCheck.proto */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected);

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

/* UnpackTupleError.proto */
static void __Pyx_UnpackTupleError(PyObject *, Py_ssize_t index);

/* UnpackTuple2.proto */
#define __Pyx_unpack_tuple2(tuple, value1, value2, is_tuple, has_known_size, decref_tuple)\
    (likely(is_tuple || PyTuple_Check(tuple)) ?\
        (likely(has_known_size || PyTuple_GET_SIZE(tuple) == 2) ?\
            __Pyx_unpack_tuple2_exact(tuple, value1, value2, decref_tuple) :\
            (__Pyx_UnpackTupleError(tuple, 2), -1)) :\
        __Pyx_unpack_tuple2_generic(tuple, value1, value2, has_known_size, decref_tuple))
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
    PyObject* tuple, PyObject** value1, PyObject** value2, int decref_tuple);
static int __Pyx_unpack_tuple2_generic(
    PyObject* tuple, PyObject** value1, PyObject** value2, int has_known_size, int decref_tuple);

/* dict_iter.proto */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* dict, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_is_dict);
static CYTHON_INLINE int __Pyx_dict_iter_next(PyObject* dict_or_iter, Py_ssize_t orig_length, Py_ssize_t* ppos,
                                              PyObject** pkey, PyObject** pvalue, PyObject** pitem, int is_dict);

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyObject *dict);

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED 1
#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;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    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_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, 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);

/* FusedFunction.proto */
typedef struct {
    __pyx_CyFunctionObject func;
    PyObject *__signatures__;
    PyObject *type;
    PyObject *self;
} __pyx_FusedFunctionObject;
static PyObject *__pyx_FusedFunction_New(PyMethodDef *ml, int flags,
                                         PyObject *qualname, PyObject *closure,
                                         PyObject *module, PyObject *globals,
                                         PyObject *code);
static int __pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self);
static PyTypeObject *__pyx_FusedFunctionType = NULL;
static int __pyx_FusedFunction_init(void);
#define __Pyx_FusedFunction_USED

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

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

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

/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
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/* Module declarations from 'cython' */

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

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

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

/* Module declarations from '__builtin__' */

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

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

/* Module declarations from 'numpy' */

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/* Module declarations from 'ms_peak_picker._c.peak_set' */
static PyTypeObject *__pyx_ptype_14ms_peak_picker_2_c_8peak_set_PeakBase = 0;
static PyTypeObject *__pyx_ptype_14ms_peak_picker_2_c_8peak_set_FittedPeak = 0;
static PyTypeObject *__pyx_ptype_14ms_peak_picker_2_c_8peak_set_PeakSet = 0;
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static PyTypeObject *__pyx_ptype_14ms_peak_picker_2_c_10peak_index_PeakIndex = 0;

/* Module declarations from 'brainpy._c.composition' */
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/* Module declarations from 'brainpy._c.isotopic_distribution' */
static PyTypeObject *__pyx_ptype_7brainpy_2_c_21isotopic_distribution_TheoreticalPeak = 0;

/* Module declarations from 'ms_deisotope._c.averagine' */
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_9averagine_Averagine = 0;
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_9averagine_TheoreticalIsotopicPattern = 0;
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static double (*__pyx_f_12ms_deisotope_2_c_9averagine_neutral_mass)(double, int, struct __pyx_opt_args_12ms_deisotope_2_c_9averagine_neutral_mass *__pyx_optional_args); /*proto*/

/* Module declarations from 'ms_deisotope._c.deconvoluter_base' */
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_17deconvoluter_base_DeconvoluterBase = 0;
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_17deconvoluter_base_AveragineDeconvoluterBase = 0;
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static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_8peak_set__Index = 0;
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_8peak_set_EnvelopePair = 0;
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_8peak_set_Envelope = 0;
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static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_8peak_set_IonMobilityDeconvolutedPeak = 0;
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSolution = 0;
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet = 0;
static PyTypeObject *__pyx_ptype_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed = 0;
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/* Module declarations from 'cpython.list' */

/* Module declarations from 'ms_deisotope._c.utils' */
static PyObject *__pyx_f_12ms_deisotope_2_c_5utils_intensity_getter(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_12ms_deisotope_2_c_5utils_mz_getter(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_12ms_deisotope_2_c_5utils_mass_getter(PyObject *, int __pyx_skip_dispatch); /*proto*/
static PyObject *__pyx_f_12ms_deisotope_2_c_5utils_decode_envelopes(PyArrayObject *, int __pyx_skip_dispatch); /*proto*/
static struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed *__pyx_f_12ms_deisotope_2_c_5utils_deserialize_deconvoluted_peak_set(PyObject *, int __pyx_skip_dispatch); /*proto*/
static struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSetIndexed *__pyx_f_12ms_deisotope_2_c_5utils_build_deconvoluted_peak_set_from_arrays(PyArrayObject *, PyArrayObject *, PyArrayObject *, int __pyx_skip_dispatch); /*proto*/
static PyArrayObject *__pyx_f_12ms_deisotope_2_c_5utils_envelopes_to_array(PyObject *, int __pyx_skip_dispatch); /*proto*/
static struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *__pyx_f_12ms_deisotope_2_c_5utils_deserialize_peak_set(PyObject *, int __pyx_skip_dispatch); /*proto*/
static double __pyx_fuse_0__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_tic(PyObject *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch); /*proto*/
static double __pyx_fuse_1__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_tic(PyObject *, struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *, int __pyx_skip_dispatch); /*proto*/
static double __pyx_fuse_2__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_tic(PyObject *, struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *, int __pyx_skip_dispatch); /*proto*/
static double __pyx_fuse_3__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_tic(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *__pyx_fuse_0__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_bp(PyObject *, struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakSet *, int __pyx_skip_dispatch); /*proto*/
static struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *__pyx_fuse_1__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_bp(PyObject *, struct __pyx_obj_14ms_peak_picker_2_c_10peak_index_PeakIndex *, int __pyx_skip_dispatch); /*proto*/
static struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *__pyx_fuse_2__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_bp(PyObject *, struct __pyx_obj_12ms_deisotope_2_c_8peak_set_DeconvolutedPeakSet *, int __pyx_skip_dispatch); /*proto*/
static struct __pyx_obj_14ms_peak_picker_2_c_8peak_set_PeakBase *__pyx_fuse_3__pyx_f_12ms_deisotope_2_c_5utils__peak_sequence_bp(PyObject *, PyObject *, int __pyx_skip_dispatch); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t = { "float32_t", NULL, sizeof(__pyx_t_5numpy_float32_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float64_t = { "float64_t", NULL, sizeof(__pyx_t_5numpy_float64_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int8_t = { "int8_t", NULL, sizeof(__pyx_t_5numpy_int8_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int8_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int8_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_long = { "long", NULL, sizeof(long), { 0 }, 0, IS_UNSIGNED(long) ? 'U' : 'I', IS_UNSIGNED(long), 0 };
#define __Pyx_MODULE_NAME "ms_deisotope._c.utils"
extern int __pyx_module_is_main_ms_deisotope___c__utils;
int __pyx_module_is_main_ms_deisotope___c__utils = 0;

/* Implementation of 'ms_deisotope._c.utils' */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin___import__;
static PyObject *__pyx_builtin_ImportError;
static const char __pyx_k_[] = "";
static const char __pyx_k_s[] = "s";
static const char __pyx_k__2[] = "()";
static const char __pyx_k__3[] = "|";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_int8[] = "int8";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_peaks[] = "peaks";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_strip[] = "strip";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_object[] = "object";
static const char __pyx_k_PeakSet[] = "PeakSet";
static const char __pyx_k_float32[] = "float32";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_defaults[] = "defaults";
static const char __pyx_k_mz_array[] = "mz_array";
static const char __pyx_k_PeakIndex[] = "PeakIndex";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_m_z_array[] = "m/z array";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_signatures[] = "signatures";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_charge_array[] = "charge array";
static const char __pyx_k_charge_array_2[] = "charge_array";
static const char __pyx_k_intensity_array[] = "intensity array";
static const char __pyx_k_peak_sequence_bp[] = "_peak_sequence_bp";
static const char __pyx_k_intensity_array_2[] = "intensity_array";
static const char __pyx_k_peak_sequence_tic[] = "_peak_sequence_tic";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_DeconvolutedPeakSet[] = "DeconvolutedPeakSet";
static const char __pyx_k_ms_deisotope__c_utils[] = "ms_deisotope._c.utils";
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        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_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          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;
        }
        CYTHON_FALLTHROUGH;
      case '?': 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->is_valid_array)) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
        CYTHON_FALLTHROUGH;
      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;
        }
    }
  }
}

/* BufferGetAndValidate */
  static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (unlikely(info->buf == NULL)) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}
static 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 int __Pyx__GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  buf->buf = NULL;
  if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) {
    __Pyx_ZeroBuffer(buf);
    return -1;
  }
  if (unlikely(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 (unlikely((size_t)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_SafeReleaseBuffer(buf);
  return -1;
}

/* PyErrFetchRestore */
  #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

/* ArgTypeTest */
  static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* PyDictVersioning */
  #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
  #if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyObjectCall */
  #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

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

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

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

/* DictGetItem */
  #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif

/* PyCFunctionFastCall */
  #if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
    }
}
#endif

/* PyFunctionFastCall */
  #if CYTHON_FAST_PYCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* PyObjectCall2Args */
  static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

/* PyObjectCallMethO */
  #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallOneArg */
  #if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

/* RaiseArgTupleInvalid */
  static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

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

/* ParseKeywords */
  static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

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

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

/* SetItemInt */
  static int __Pyx_SetItemInt_Generic(PyObject *o, PyObject *j, PyObject *v) {
    int r;
    if (!j) return -1;
    r = PyObject_SetItem(o, j, v);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE int __Pyx_SetItemInt_Fast(PyObject *o, Py_ssize_t i, PyObject *v, int is_list,
                                               CYTHON_NCP_UNUSED int wraparound, CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = (!wraparound) ? i : ((likely(i >= 0)) ? i : i + PyList_GET_SIZE(o));
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o)))) {
            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))
                        return -1;
                    PyErr_Clear();
                }
            }
            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);
}

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

/* PyObjectCallNoArg */
  #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
#else
    if (likely(PyCFunction_Check(func)))
#endif
    {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* PyObjectGetMethod */
  static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod0 */
  static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

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

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

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

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

/* UnpackTupleError */
  static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else if (PyTuple_GET_SIZE(t) < index) {
      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
    } else {
      __Pyx_RaiseTooManyValuesError(index);
    }
}

/* UnpackTuple2 */
  static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_COMPILING_IN_PYPY
    value1 = PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
#else
    value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
    value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
#endif
    if (decref_tuple) {
        Py_DECREF(tuple);
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
#if CYTHON_COMPILING_IN_PYPY
bad:
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
#endif
}
static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                       int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    iternextfunc iternext;
    iter = PyObject_GetIter(tuple);
    if (unlikely(!iter)) goto bad;
    if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
    iternext = Py_TYPE(iter)->tp_iternext;
    value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
    value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
    if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
    Py_DECREF(iter);
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}

/* dict_iter */
  static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#elif PY_MAJOR_VERSION >= 3
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        PyObject **pp = NULL;
        if (method_name) {
            const char *name = PyUnicode_AsUTF8(method_name);
            if (strcmp(name, "iteritems") == 0) pp = &py_items;
            else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
            else if (strcmp(name, "itervalues") == 0) pp = &py_values;
            if (pp) {
                if (!*pp) {
                    *pp = PyUnicode_FromString(name + 4);
                    if (!*pp)
                        return NULL;
                }
                method_name = *pp;
            }
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        PyObject *key, *value;
        if (unlikely(orig_length != PyDict_Size(iter_obj))) {
            PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
            return -1;
        }
        if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
            return 0;
        }
        if (pitem) {
            PyObject* tuple = PyTuple_New(2);
            if (unlikely(!tuple)) {
                return -1;
            }
            Py_INCREF(key);
            Py_INCREF(value);
            PyTuple_SET_ITEM(tuple, 0, key);
            PyTuple_SET_ITEM(tuple, 1, value);
            *pitem = tuple;
        } else {
            if (pkey) {
                Py_INCREF(key);
                *pkey = key;
            }
            if (pvalue) {
                Py_INCREF(value);
                *pvalue = value;
            }
        }
        return 1;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}

/* GetTopmostException */
  #if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
  #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* PyErrExceptionMatches */
  #if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetException */
  #if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* TypeImport */
  #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if ((size_t)basicsize < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

/* GetVTable */
  static void* __Pyx_GetVtable(PyObject *dict) {
    void* ptr;
    PyObject *ob = PyObject_GetItem(dict, __pyx_n_s_pyx_vtable);
    if (!ob)
        goto bad;
#if PY_VERSION_HEX >= 0x02070000
    ptr = PyCapsule_GetPointer(ob, 0);
#else
    ptr = PyCObject_AsVoidPtr(ob);
#endif
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

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

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

/* CythonFunctionShared */
  #include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    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, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    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, CYTHON_UNUSED void *context) {
    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, CYTHON_UNUSED void *context) {
    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, CYTHON_UNUSED void *context) {
    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, CYTHON_UNUSED void *context) {
    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, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromString(m->func.m_ml->ml_name);
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    if (unlikely(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_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
#if PY_MAJOR_VERSION < 3
    __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;
#endif
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
    case METH_NOARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    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);
}

/* FusedFunction */
  static PyObject *
__pyx_FusedFunction_New(PyMethodDef *ml, int flags,
                        PyObject *qualname, PyObject *closure,
                        PyObject *module, PyObject *globals,
                        PyObject *code)
{
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_FusedFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        __pyx_FusedFunctionObject *fusedfunc = (__pyx_FusedFunctionObject *) op;
        fusedfunc->__signatures__ = NULL;
        fusedfunc->type = NULL;
        fusedfunc->self = NULL;
        PyObject_GC_Track(op);
    }
    return op;
}
static void
__pyx_FusedFunction_dealloc(__pyx_FusedFunctionObject *self)
{
    PyObject_GC_UnTrack(self);
    Py_CLEAR(self->self);
    Py_CLEAR(self->type);
    Py_CLEAR(self->__signatures__);
    __Pyx__CyFunction_dealloc((__pyx_CyFunctionObject *) self);
}
static int
__pyx_FusedFunction_traverse(__pyx_FusedFunctionObject *self,
                             visitproc visit,
                             void *arg)
{
    Py_VISIT(self->self);
    Py_VISIT(self->type);
    Py_VISIT(self->__signatures__);
    return __Pyx_CyFunction_traverse((__pyx_CyFunctionObject *) self, visit, arg);
}
static int
__pyx_FusedFunction_clear(__pyx_FusedFunctionObject *self)
{
    Py_CLEAR(self->self);
    Py_CLEAR(self->type);
    Py_CLEAR(self->__signatures__);
    return __Pyx_CyFunction_clear((__pyx_CyFunctionObject *) self);
}
static PyObject *
__pyx_FusedFunction_descr_get(PyObject *self, PyObject *obj, PyObject *type)
{
    __pyx_FusedFunctionObject *func, *meth;
    func = (__pyx_FusedFunctionObject *) self;
    if (func->self || func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(self);
        return self;
    }
    if (obj == Py_None)
        obj = NULL;
    meth = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_New(
                    ((PyCFunctionObject *) func)->m_ml,
                    ((__pyx_CyFunctionObject *) func)->flags,
                    ((__pyx_CyFunctionObject *) func)->func_qualname,
                    ((__pyx_CyFunctionObject *) func)->func_closure,
                    ((PyCFunctionObject *) func)->m_module,
                    ((__pyx_CyFunctionObject *) func)->func_globals,
                    ((__pyx_CyFunctionObject *) func)->func_code);
    if (!meth)
        return NULL;
    if (func->func.defaults) {
        PyObject **pydefaults;
        int i;
        if (!__Pyx_CyFunction_InitDefaults((PyObject*)meth,
                                      func->func.defaults_size,
                                      func->func.defaults_pyobjects)) {
            Py_XDECREF((PyObject*)meth);
            return NULL;
        }
        memcpy(meth->func.defaults, func->func.defaults, func->func.defaults_size);
        pydefaults = __Pyx_CyFunction_Defaults(PyObject *, meth);
        for (i = 0; i < meth->func.defaults_pyobjects; i++)
            Py_XINCREF(pydefaults[i]);
    }
    Py_XINCREF(func->func.func_classobj);
    meth->func.func_classobj = func->func.func_classobj;
    Py_XINCREF(func->__signatures__);
    meth->__signatures__ = func->__signatures__;
    Py_XINCREF(type);
    meth->type = type;
    Py_XINCREF(func->func.defaults_tuple);
    meth->func.defaults_tuple = func->func.defaults_tuple;
    if (func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD)
        obj = type;
    Py_XINCREF(obj);
    meth->self = obj;
    return (PyObject *) meth;
}
static PyObject *
_obj_to_str(PyObject *obj)
{
    if (PyType_Check(obj))
        return PyObject_GetAttr(obj, __pyx_n_s_name);
    else
        return PyObject_Str(obj);
}
static PyObject *
__pyx_FusedFunction_getitem(__pyx_FusedFunctionObject *self, PyObject *idx)
{
    PyObject *signature = NULL;
    PyObject *unbound_result_func;
    PyObject *result_func = NULL;
    if (self->__signatures__ == NULL) {
        PyErr_SetString(PyExc_TypeError, "Function is not fused");
        return NULL;
    }
    if (PyTuple_Check(idx)) {
        PyObject *list = PyList_New(0);
        Py_ssize_t n = PyTuple_GET_SIZE(idx);
        PyObject *sep = NULL;
        int i;
        if (unlikely(!list))
            return NULL;
        for (i = 0; i < n; i++) {
            int ret;
            PyObject *string;
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(idx, i);
#else
            PyObject *item = PySequence_ITEM(idx, i);  if (unlikely(!item)) goto __pyx_err;
#endif
            string = _obj_to_str(item);
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
            Py_DECREF(item);
#endif
            if (unlikely(!string)) goto __pyx_err;
            ret = PyList_Append(list, string);
            Py_DECREF(string);
            if (unlikely(ret < 0)) goto __pyx_err;
        }
        sep = PyUnicode_FromString("|");
        if (likely(sep))
            signature = PyUnicode_Join(sep, list);
__pyx_err:
;
        Py_DECREF(list);
        Py_XDECREF(sep);
    } else {
        signature = _obj_to_str(idx);
    }
    if (!signature)
        return NULL;
    unbound_result_func = PyObject_GetItem(self->__signatures__, signature);
    if (unbound_result_func) {
        if (self->self || self->type) {
            __pyx_FusedFunctionObject *unbound = (__pyx_FusedFunctionObject *) unbound_result_func;
            Py_CLEAR(unbound->func.func_classobj);
            Py_XINCREF(self->func.func_classobj);
            unbound->func.func_classobj = self->func.func_classobj;
            result_func = __pyx_FusedFunction_descr_get(unbound_result_func,
                                                        self->self, self->type);
        } else {
            result_func = unbound_result_func;
            Py_INCREF(result_func);
        }
    }
    Py_DECREF(signature);
    Py_XDECREF(unbound_result_func);
    return result_func;
}
static PyObject *
__pyx_FusedFunction_callfunction(PyObject *func, PyObject *args, PyObject *kw)
{
     __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    int static_specialized = (cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD &&
                              !((__pyx_FusedFunctionObject *) func)->__signatures__);
    if (cyfunc->flags & __Pyx_CYFUNCTION_CCLASS && !static_specialized) {
        return __Pyx_CyFunction_CallAsMethod(func, args, kw);
    } else {
        return __Pyx_CyFunction_Call(func, args, kw);
    }
}
static PyObject *
__pyx_FusedFunction_call(PyObject *func, PyObject *args, PyObject *kw)
{
    __pyx_FusedFunctionObject *binding_func = (__pyx_FusedFunctionObject *) func;
    Py_ssize_t argc = PyTuple_GET_SIZE(args);
    PyObject *new_args = NULL;
    __pyx_FusedFunctionObject *new_func = NULL;
    PyObject *result = NULL;
    PyObject *self = NULL;
    int is_staticmethod = binding_func->func.flags & __Pyx_CYFUNCTION_STATICMETHOD;
    int is_classmethod = binding_func->func.flags & __Pyx_CYFUNCTION_CLASSMETHOD;
    if (binding_func->self) {
        Py_ssize_t i;
        new_args = PyTuple_New(argc + 1);
        if (!new_args)
            return NULL;
        self = binding_func->self;
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
        Py_INCREF(self);
#endif
        Py_INCREF(self);
        PyTuple_SET_ITEM(new_args, 0, self);
        for (i = 0; i < argc; i++) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
            PyObject *item = PyTuple_GET_ITEM(args, i);
            Py_INCREF(item);
#else
            PyObject *item = PySequence_ITEM(args, i);  if (unlikely(!item)) goto bad;
#endif
            PyTuple_SET_ITEM(new_args, i + 1, item);
        }
        args = new_args;
    } else if (binding_func->type) {
        if (argc < 1) {
            PyErr_SetString(PyExc_TypeError, "Need at least one argument, 0 given.");
            return NULL;
        }
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
        self = PyTuple_GET_ITEM(args, 0);
#else
        self = PySequence_ITEM(args, 0);  if (unlikely(!self)) return NULL;
#endif
    }
    if (self && !is_classmethod && !is_staticmethod) {
        int is_instance = PyObject_IsInstance(self, binding_func->type);
        if (unlikely(!is_instance)) {
            PyErr_Format(PyExc_TypeError,
                         "First argument should be of type %.200s, got %.200s.",
                         ((PyTypeObject *) binding_func->type)->tp_name,
                         self->ob_type->tp_name);
            goto bad;
        } else if (unlikely(is_instance == -1)) {
            goto bad;
        }
    }
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
    self = NULL;
#endif
    if (binding_func->__signatures__) {
        PyObject *tup;
        if (is_staticmethod && binding_func->func.flags & __Pyx_CYFUNCTION_CCLASS) {
            tup = PyTuple_Pack(3, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __Pyx_CyFunction_CallMethod(
                func, binding_func->__signatures__, tup, NULL);
        } else {
            tup = PyTuple_Pack(4, binding_func->__signatures__, args,
                               kw == NULL ? Py_None : kw,
                               binding_func->func.defaults_tuple);
            if (unlikely(!tup)) goto bad;
            new_func = (__pyx_FusedFunctionObject *) __pyx_FusedFunction_callfunction(func, tup, NULL);
        }
        Py_DECREF(tup);
        if (unlikely(!new_func))
            goto bad;
        Py_XINCREF(binding_func->func.func_classobj);
        Py_CLEAR(new_func->func.func_classobj);
        new_func->func.func_classobj = binding_func->func.func_classobj;
        func = (PyObject *) new_func;
    }
    result = __pyx_FusedFunction_callfunction(func, args, kw);
bad:
#if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
    Py_XDECREF(self);
#endif
    Py_XDECREF(new_args);
    Py_XDECREF((PyObject *) new_func);
    return result;
}
static PyMemberDef __pyx_FusedFunction_members[] = {
    {(char *) "__signatures__",
     T_OBJECT,
     offsetof(__pyx_FusedFunctionObject, __signatures__),
     READONLY,
     0},
    {0, 0, 0, 0, 0},
};
static PyMappingMethods __pyx_FusedFunction_mapping_methods = {
    0,
    (binaryfunc) __pyx_FusedFunction_getitem,
    0,
};
static PyTypeObject __pyx_FusedFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "fused_cython_function",
    sizeof(__pyx_FusedFunctionObject),
    0,
    (destructor) __pyx_FusedFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    0,
    0,
    0,
    &__pyx_FusedFunction_mapping_methods,
    0,
    (ternaryfunc) __pyx_FusedFunction_call,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC | Py_TPFLAGS_BASETYPE,
    0,
    (traverseproc) __pyx_FusedFunction_traverse,
    (inquiry) __pyx_FusedFunction_clear,
    0,
    0,
    0,
    0,
    0,
    __pyx_FusedFunction_members,
    __pyx_CyFunction_getsets,
    &__pyx_CyFunctionType_type,
    0,
    __pyx_FusedFunction_descr_get,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
};
static int __pyx_FusedFunction_init(void) {
    __pyx_FusedFunctionType_type.tp_base = __pyx_CyFunctionType;
    __pyx_FusedFunctionType = __Pyx_FetchCommonType(&__pyx_FusedFunctionType_type);
    if (__pyx_FusedFunctionType == NULL) {
        return -1;
    }
    return 0;
}

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

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

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

#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);
    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 ((0)) {}
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


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

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

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

/* Arithmetic */
  #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

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

/* Arithmetic */
  #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

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

/* ImportNumPyArray */
  static PyObject* __Pyx__ImportNumPyArray(void) {
    PyObject *numpy_module, *ndarray_object = NULL;
    numpy_module = __Pyx_Import(__pyx_n_s_numpy, NULL, 0);
    if (likely(numpy_module)) {
        ndarray_object = PyObject_GetAttrString(numpy_module, "ndarray");
        Py_DECREF(numpy_module);
    }
    if (unlikely(!ndarray_object)) {
        PyErr_Clear();
    }
    if (unlikely(!ndarray_object || !PyObject_TypeCheck(ndarray_object, &PyType_Type))) {
        Py_XDECREF(ndarray_object);
        Py_INCREF(Py_None);
        ndarray_object = Py_None;
    }
    return ndarray_object;
}
static CYTHON_INLINE PyObject* __Pyx_ImportNumPyArrayTypeIfAvailable(void) {
    if (unlikely(!__pyx_numpy_ndarray)) {
        __pyx_numpy_ndarray = __Pyx__ImportNumPyArray();
    }
    Py_INCREF(__pyx_numpy_ndarray);
    return __pyx_numpy_ndarray;
}

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

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

/* FastTypeChecks */
  #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

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

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

/* VoidPtrImport */
  #ifndef __PYX_HAVE_RT_ImportVoidPtr
#define __PYX_HAVE_RT_ImportVoidPtr
static int __Pyx_ImportVoidPtr(PyObject *module, const char *name, void **p, const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, name);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C variable %.200s",
                PyModule_GetName(module), name);
        goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), name, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    *p = PyCapsule_GetPointer(cobj, sig);
#else
    {const char *desc, *s1, *s2;
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), name, sig, desc);
        goto bad;
    }
    *p = PyCObject_AsVoidPtr(cobj);}
#endif
    if (!(*p))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

/* FunctionImport */
  #ifndef __PYX_HAVE_RT_ImportFunction
#define __PYX_HAVE_RT_ImportFunction
static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, funcname);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C function %.200s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
#else
    {const char *desc, *s1, *s2;
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, desc);
        goto bad;
    }
    tmp.p = PyCObject_AsVoidPtr(cobj);}
#endif
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

/* InitStrings */
  static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
