/* Generated by Cython 0.25.2 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "depends": [
            "/vol/home/timm/miniconda3/envs/dp/lib/python3.6/site-packages/numpy/core/include/numpy/arrayobject.h",
            "/vol/home/timm/miniconda3/envs/dp/lib/python3.6/site-packages/numpy/core/include/numpy/ufuncobject.h"
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        "include_dirs": [
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}
END: Cython Metadata */

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#define __PYX_HAVE__dinopy__fasta_writer
#define __PYX_HAVE_API__dinopy__fasta_writer
#include <string.h>
#include <stdio.h>
#include "pythread.h"
#include <stdlib.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include <math.h>
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
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typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
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#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
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#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
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static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
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    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_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));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


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

static PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static 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[] = {
  "dinopy/fasta_writer.pyx",
  "__init__.pxd",
  "type.pxd",
  "bool.pxd",
  "complex.pxd",
  "dinopy/definitions.pxd",
  "dinopy/output_opener.pxd",
};

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":725
 * # 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":726
 * 
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":728
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * #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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * 
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":734
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * #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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * 
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":749
 * # 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":750
 * # 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":753
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":757
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * 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;

/* "dinopy/definitions.pxd":5
 * 
 * # type definitions
 * ctypedef np.uint8_t CHARTYPE_t             # <<<<<<<<<<<<<<
 * ctypedef bint BOOLTYPE_t
 * 
 */
typedef __pyx_t_5numpy_uint8_t __pyx_t_6dinopy_11definitions_CHARTYPE_t;

/* "dinopy/definitions.pxd":6
 * # type definitions
 * ctypedef np.uint8_t CHARTYPE_t
 * ctypedef bint BOOLTYPE_t             # <<<<<<<<<<<<<<
 * 
 * cdef class FastqReadC:
 */
typedef int __pyx_t_6dinopy_11definitions_BOOLTYPE_t;

/* "dinopy/definitions.pxd":183
 *     bit_base
 * 
 * ctypedef unsigned long long uint64             # <<<<<<<<<<<<<<
 */
typedef unsigned PY_LONG_LONG __pyx_t_6dinopy_11definitions_uint64;
/* 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_6dinopy_11definitions_FastqReadC;
struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutNameC;
struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutQVC;
struct __pyx_obj_6dinopy_11definitions_FastqLineC;
struct __pyx_obj_6dinopy_11definitions_FastaEntryC;
struct __pyx_obj_6dinopy_11definitions_FastaReadC;
struct __pyx_obj_6dinopy_11definitions_FastaChromosomeC;
struct __pyx_obj_6dinopy_11definitions_FastaChromosomeInfoC;
struct __pyx_obj_6dinopy_11definitions_FastaGenomeC;
struct __pyx_obj_6dinopy_11definitions_IUPACRandomReplacementDict;
struct __pyx_obj_6dinopy_11definitions_basenumbers;
struct __pyx_obj_6dinopy_11definitions_bit_base;
struct __pyx_obj_6dinopy_13output_opener__AsciiTextWrapper;
struct __pyx_obj_6dinopy_13output_opener_OutputOpener;
struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":764
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * 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;

/* "../../miniconda3/envs/dp/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":768
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;

/* "dinopy/definitions.pxd":114
 * 
 * # possible states of the fastq parser
 * cdef enum FASTQ_PARSER_STATE:             # <<<<<<<<<<<<<<
 *     START, NAME, SEQUENCE, PLUS, QUALITY_VALUES
 * 
 */
enum __pyx_t_6dinopy_11definitions_FASTQ_PARSER_STATE {
  __pyx_e_6dinopy_11definitions_START,
  __pyx_e_6dinopy_11definitions_NAME,
  __pyx_e_6dinopy_11definitions_SEQUENCE,
  __pyx_e_6dinopy_11definitions_PLUS,
  __pyx_e_6dinopy_11definitions_QUALITY_VALUES
};
struct __pyx_opt_args_6dinopy_10conversion_bytes_to_basenumbers;
struct __pyx_opt_args_6dinopy_10conversion_bytes_to_string;
struct __pyx_opt_args_6dinopy_10conversion_string_to_bytes;
struct __pyx_opt_args_6dinopy_10conversion_string_to_basenumbers;
struct __pyx_opt_args_6dinopy_10conversion_string_list_to_basenumbers;
struct __pyx_opt_args_6dinopy_10conversion_string_sublists_to_basenumbers;
struct __pyx_opt_args_6dinopy_10conversion_basenumbers_to_string;
struct __pyx_opt_args_6dinopy_10conversion_encode_twobit;
struct __pyx_opt_args_6dinopy_10conversion_encode_fourbit;
struct __pyx_opt_args_6dinopy_10conversion_encode;
struct __pyx_opt_args_6dinopy_10conversion_decode_twobit;
struct __pyx_opt_args_6dinopy_10conversion_decode_fourbit;

/* "dinopy/conversion.pxd":12
 * 
 * # explicitly declare available functions, c-header style
 * cpdef bytes bytes_to_basenumbers(bytes byte_sequence, bool suppress_iupac= *)             # <<<<<<<<<<<<<<
 * cdef bytes _bytes_to_basenumbers(bytes byte_sequence)
 * cdef bytes _bytes_to_basenumbers_suppressed(bytes byte_sequence)
 */
struct __pyx_opt_args_6dinopy_10conversion_bytes_to_basenumbers {
  int __pyx_n;
  PyBoolObject *suppress_iupac;
};

/* "dinopy/conversion.pxd":17
 * cdef bytes _bytearray_to_basenumber_bytes(bytearray byte_sequence)
 * cdef bytes _bytearray_to_basenumber_bytes_suppressed(bytearray byte_sequence)
 * cpdef str bytes_to_string(bytes byte_sequence, bool as_list= *)             # <<<<<<<<<<<<<<
 * 
 * cpdef bytes string_to_bytes(str sequence, bool suppress_iupac= *)
 */
struct __pyx_opt_args_6dinopy_10conversion_bytes_to_string {
  int __pyx_n;
  PyBoolObject *as_list;
};

/* "dinopy/conversion.pxd":19
 * cpdef str bytes_to_string(bytes byte_sequence, bool as_list= *)
 * 
 * cpdef bytes string_to_bytes(str sequence, bool suppress_iupac= *)             # <<<<<<<<<<<<<<
 * cpdef bytes string_to_basenumbers(str sequnece, bool suppress_iupac= *)
 * cpdef list string_list_to_basenumbers(list sequence_list, bool suppress_iupac= *)
 */
struct __pyx_opt_args_6dinopy_10conversion_string_to_bytes {
  int __pyx_n;
  PyBoolObject *suppress_iupac;
};

/* "dinopy/conversion.pxd":20
 * 
 * cpdef bytes string_to_bytes(str sequence, bool suppress_iupac= *)
 * cpdef bytes string_to_basenumbers(str sequnece, bool suppress_iupac= *)             # <<<<<<<<<<<<<<
 * cpdef list string_list_to_basenumbers(list sequence_list, bool suppress_iupac= *)
 * cpdef list string_sublists_to_basenumbers(list list_of_lists, bool suppress_iupac= *)
 */
struct __pyx_opt_args_6dinopy_10conversion_string_to_basenumbers {
  int __pyx_n;
  PyBoolObject *suppress_iupac;
};

/* "dinopy/conversion.pxd":21
 * cpdef bytes string_to_bytes(str sequence, bool suppress_iupac= *)
 * cpdef bytes string_to_basenumbers(str sequnece, bool suppress_iupac= *)
 * cpdef list string_list_to_basenumbers(list sequence_list, bool suppress_iupac= *)             # <<<<<<<<<<<<<<
 * cpdef list string_sublists_to_basenumbers(list list_of_lists, bool suppress_iupac= *)
 * 
 */
struct __pyx_opt_args_6dinopy_10conversion_string_list_to_basenumbers {
  int __pyx_n;
  PyBoolObject *suppress_iupac;
};

/* "dinopy/conversion.pxd":22
 * cpdef bytes string_to_basenumbers(str sequnece, bool suppress_iupac= *)
 * cpdef list string_list_to_basenumbers(list sequence_list, bool suppress_iupac= *)
 * cpdef list string_sublists_to_basenumbers(list list_of_lists, bool suppress_iupac= *)             # <<<<<<<<<<<<<<
 * 
 * cpdef object basenumbers_to_string(object nrseq, bool as_list= *)
 */
struct __pyx_opt_args_6dinopy_10conversion_string_sublists_to_basenumbers {
  int __pyx_n;
  PyBoolObject *suppress_iupac;
};

/* "dinopy/conversion.pxd":24
 * cpdef list string_sublists_to_basenumbers(list list_of_lists, bool suppress_iupac= *)
 * 
 * cpdef object basenumbers_to_string(object nrseq, bool as_list= *)             # <<<<<<<<<<<<<<
 * cpdef bytes basenumbers_to_bytes(object basenumbers)
 * 
 */
struct __pyx_opt_args_6dinopy_10conversion_basenumbers_to_string {
  int __pyx_n;
  PyBoolObject *as_list;
};

/* "dinopy/conversion.pxd":32
 * cpdef dict get_inverse_codemap_from_twobit(type dtype)
 * 
 * cpdef unsigned long encode_twobit(object seq, bool sentinel= *)             # <<<<<<<<<<<<<<
 * cpdef unsigned long encode_fourbit(object seq, bool sentinel= *)
 * cpdef unsigned long encode(object seq, object codemap, bool sentinel= *)
 */
struct __pyx_opt_args_6dinopy_10conversion_encode_twobit {
  int __pyx_n;
  PyBoolObject *sentinel;
};

/* "dinopy/conversion.pxd":33
 * 
 * cpdef unsigned long encode_twobit(object seq, bool sentinel= *)
 * cpdef unsigned long encode_fourbit(object seq, bool sentinel= *)             # <<<<<<<<<<<<<<
 * cpdef unsigned long encode(object seq, object codemap, bool sentinel= *)
 * 
 */
struct __pyx_opt_args_6dinopy_10conversion_encode_fourbit {
  int __pyx_n;
  PyBoolObject *sentinel;
};

/* "dinopy/conversion.pxd":34
 * cpdef unsigned long encode_twobit(object seq, bool sentinel= *)
 * cpdef unsigned long encode_fourbit(object seq, bool sentinel= *)
 * cpdef unsigned long encode(object seq, object codemap, bool sentinel= *)             # <<<<<<<<<<<<<<
 * 
 * cpdef object decode_twobit(unsigned long seq, int length, type dtype= *)
 */
struct __pyx_opt_args_6dinopy_10conversion_encode {
  int __pyx_n;
  PyBoolObject *sentinel;
};

/* "dinopy/conversion.pxd":36
 * cpdef unsigned long encode(object seq, object codemap, bool sentinel= *)
 * 
 * cpdef object decode_twobit(unsigned long seq, int length, type dtype= *)             # <<<<<<<<<<<<<<
 * cpdef object decode_fourbit(unsigned long seq, int length, type dtype= *)
 * cpdef list decode(unsigned long seq, int length, dict inv_codemap)
 */
struct __pyx_opt_args_6dinopy_10conversion_decode_twobit {
  int __pyx_n;
  PyTypeObject *dtype;
};

/* "dinopy/conversion.pxd":37
 * 
 * cpdef object decode_twobit(unsigned long seq, int length, type dtype= *)
 * cpdef object decode_fourbit(unsigned long seq, int length, type dtype= *)             # <<<<<<<<<<<<<<
 * cpdef list decode(unsigned long seq, int length, dict inv_codemap)
 * 
 */
struct __pyx_opt_args_6dinopy_10conversion_decode_fourbit {
  int __pyx_n;
  PyTypeObject *dtype;
};
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_genome;
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosomes;
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entries;
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosome;
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entry;
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry_iterable;
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry;

/* "dinopy/fasta_writer.pxd":18
 * 
 *     cpdef write_genome(
 *             self,             # <<<<<<<<<<<<<<
 *             object genome,
 *             object chromosome_info= *,
 */
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_genome {
  int __pyx_n;
  PyObject *chromosome_info;
  PyTypeObject *dtype;
};

/* "dinopy/fasta_writer.pxd":25
 * 
 *     cpdef write_chromosomes(
 *             self,             # <<<<<<<<<<<<<<
 *             object chromosomes,
 *             type dtype= *,
 */
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosomes {
  int __pyx_n;
  PyTypeObject *dtype;
};

/* "dinopy/fasta_writer.pxd":31
 * 
 *     cpdef write_entries(
 *             self,             # <<<<<<<<<<<<<<
 *             object chromosomes,
 *             type dtype= *,
 */
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entries {
  int __pyx_n;
  PyTypeObject *dtype;
};

/* "dinopy/fasta_writer.pxd":37
 * 
 *     cpdef write_chromosome(
 *             self,             # <<<<<<<<<<<<<<
 *             object chromosome,
 *             type dtype= *,
 */
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosome {
  int __pyx_n;
  PyTypeObject *dtype;
};

/* "dinopy/fasta_writer.pxd":43
 * 
 *     cpdef write_entry(
 *             self,             # <<<<<<<<<<<<<<
 *             object chromosome,
 *             type dtype= *,
 */
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entry {
  int __pyx_n;
  PyTypeObject *dtype;
};

/* "dinopy/fasta_writer.pxd":49
 * 
 *     cpdef _write_entry_iterable(
 *             self,             # <<<<<<<<<<<<<<
 *             object chromosomes,
 *             type dtype= *,
 */
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry_iterable {
  int __pyx_n;
  PyTypeObject *dtype;
};

/* "dinopy/fasta_writer.pxd":55
 * 
 *     cpdef _write_entry(
 *             self,             # <<<<<<<<<<<<<<
 *             object sequence,
 *             bytes name,
 */
struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry {
  int __pyx_n;
  PyTypeObject *dtype;
};

/* "dinopy/definitions.pxd":8
 * ctypedef bint BOOLTYPE_t
 * 
 * cdef class FastqReadC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */
struct __pyx_obj_6dinopy_11definitions_FastqReadC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadC *__pyx_vtab;
  PyObject *sequence;
  PyObject *name;
  PyObject *quality;
};


/* "dinopy/definitions.pxd":15
 *     cpdef bint _eq(self, FastqReadC other)
 * 
 * cdef class FastqReadWithoutNameC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */
struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutNameC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadWithoutNameC *__pyx_vtab;
  PyObject *sequence;
  PyObject *quality;
};


/* "dinopy/definitions.pxd":21
 *     cpdef bint _eq(self, FastqReadWithoutNameC other)
 * 
 * cdef class FastqReadWithoutQVC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */
struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutQVC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadWithoutQVC *__pyx_vtab;
  PyObject *sequence;
  PyObject *name;
};


/* "dinopy/definitions.pxd":27
 *     cpdef bint _eq(self, FastqReadWithoutQVC other)
 * 
 * cdef class FastqLineC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         str type
 */
struct __pyx_obj_6dinopy_11definitions_FastqLineC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastqLineC *__pyx_vtab;
  PyObject *type;
  PyObject *value;
};


/* "dinopy/definitions.pxd":33
 *     cpdef bint _eq(self, FastqLineC other)
 * 
 * cdef class FastaEntryC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */
struct __pyx_obj_6dinopy_11definitions_FastaEntryC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastaEntryC *__pyx_vtab;
  PyObject *sequence;
  PyObject *name;
  unsigned int length;
  PyObject *interval;
};


/* "dinopy/definitions.pxd":41
 *     cpdef bint _eq(self, FastaEntryC other)
 * 
 * cdef class FastaReadC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */
struct __pyx_obj_6dinopy_11definitions_FastaReadC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastaReadC *__pyx_vtab;
  PyObject *sequence;
  PyObject *name;
};


/* "dinopy/definitions.pxd":47
 *     cpdef bint _eq(self, FastaReadC other)
 * 
 * cdef class FastaChromosomeC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */
struct __pyx_obj_6dinopy_11definitions_FastaChromosomeC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastaChromosomeC *__pyx_vtab;
  PyObject *sequence;
  PyObject *name;
  unsigned int length;
};


/* "dinopy/definitions.pxd":54
 *     cpdef bint _eq(self, FastaChromosomeC other)
 * 
 * cdef class FastaChromosomeInfoC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         bytes name
 */
struct __pyx_obj_6dinopy_11definitions_FastaChromosomeInfoC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastaChromosomeInfoC *__pyx_vtab;
  PyObject *name;
  unsigned int length;
  PyObject *interval;
};


/* "dinopy/definitions.pxd":61
 *     cpdef bint _eq(self, FastaChromosomeInfoC other)
 * 
 * cdef class FastaGenomeC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */
struct __pyx_obj_6dinopy_11definitions_FastaGenomeC {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_11definitions_FastaGenomeC *__pyx_vtab;
  PyObject *sequence;
  PyObject *info;
};


/* "dinopy/definitions.pxd":152
 * cdef set valid_dtypes
 * 
 * cdef class IUPACRandomReplacementDict(dict):             # <<<<<<<<<<<<<<
 *     cdef dict __dict__
 * 
 */
struct __pyx_obj_6dinopy_11definitions_IUPACRandomReplacementDict {
  PyDictObject __pyx_base;
  PyObject *__dict__;
};


/* "dinopy/definitions.pxd":158
 * 
 * # Dummy classes to specify data types of sequences
 * cdef class basenumbers(object):             # <<<<<<<<<<<<<<
 *     """Basenumbers type for dtype parameters.
 * 
 */
struct __pyx_obj_6dinopy_11definitions_basenumbers {
  PyObject_HEAD
};


/* "dinopy/definitions.pxd":173
 * 
 * 
 * cdef class bit_base(object):             # <<<<<<<<<<<<<<
 *     pass
 * 
 */
struct __pyx_obj_6dinopy_11definitions_bit_base {
  PyObject_HEAD
};


/* "dinopy/output_opener.pxd":4
 * from cpython cimport bool
 * 
 * cdef class _AsciiTextWrapper:             # <<<<<<<<<<<<<<
 *     cdef object stream
 * 
 */
struct __pyx_obj_6dinopy_13output_opener__AsciiTextWrapper {
  PyObject_HEAD
  PyObject *stream;
};


/* "dinopy/output_opener.pxd":7
 *     cdef object stream
 * 
 * cdef class OutputOpener:             # <<<<<<<<<<<<<<
 *     cdef object sink
 *     cdef object writer
 */
struct __pyx_obj_6dinopy_13output_opener_OutputOpener {
  PyObject_HEAD
  struct __pyx_vtabstruct_6dinopy_13output_opener_OutputOpener *__pyx_vtab;
  PyObject *sink;
  PyObject *writer;
  PyObject *output_type;
  PyBoolObject *output_closable;
  PyBoolObject *append;
  PyBoolObject *force_overwrite;
  PyBoolObject *opened;
  PyObject *mode;
};


/* "dinopy/fasta_writer.pxd":11
 * from dinopy.output_opener cimport OutputOpener
 * 
 * cdef class FastaWriter(OutputOpener):             # <<<<<<<<<<<<<<
 *     cdef object _filepath
 *     cdef bool _write_fai
 */
struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter {
  struct __pyx_obj_6dinopy_13output_opener_OutputOpener __pyx_base;
  PyObject *_filepath;
  PyBoolObject *_write_fai;
  PyObject *_fai_path;
  int _line_width;
};



/* "dinopy/definitions.pxd":8
 * ctypedef bint BOOLTYPE_t
 * 
 * cdef class FastqReadC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastqReadC *, struct __pyx_obj_6dinopy_11definitions_FastqReadC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadC *__pyx_vtabptr_6dinopy_11definitions_FastqReadC;


/* "dinopy/definitions.pxd":15
 *     cpdef bint _eq(self, FastqReadC other)
 * 
 * cdef class FastqReadWithoutNameC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadWithoutNameC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutNameC *, struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutNameC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadWithoutNameC *__pyx_vtabptr_6dinopy_11definitions_FastqReadWithoutNameC;


/* "dinopy/definitions.pxd":21
 *     cpdef bint _eq(self, FastqReadWithoutNameC other)
 * 
 * cdef class FastqReadWithoutQVC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadWithoutQVC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutQVC *, struct __pyx_obj_6dinopy_11definitions_FastqReadWithoutQVC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastqReadWithoutQVC *__pyx_vtabptr_6dinopy_11definitions_FastqReadWithoutQVC;


/* "dinopy/definitions.pxd":27
 *     cpdef bint _eq(self, FastqReadWithoutQVC other)
 * 
 * cdef class FastqLineC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         str type
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastqLineC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastqLineC *, struct __pyx_obj_6dinopy_11definitions_FastqLineC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastqLineC *__pyx_vtabptr_6dinopy_11definitions_FastqLineC;


/* "dinopy/definitions.pxd":33
 *     cpdef bint _eq(self, FastqLineC other)
 * 
 * cdef class FastaEntryC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastaEntryC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastaEntryC *, struct __pyx_obj_6dinopy_11definitions_FastaEntryC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastaEntryC *__pyx_vtabptr_6dinopy_11definitions_FastaEntryC;


/* "dinopy/definitions.pxd":41
 *     cpdef bint _eq(self, FastaEntryC other)
 * 
 * cdef class FastaReadC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastaReadC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastaReadC *, struct __pyx_obj_6dinopy_11definitions_FastaReadC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastaReadC *__pyx_vtabptr_6dinopy_11definitions_FastaReadC;


/* "dinopy/definitions.pxd":47
 *     cpdef bint _eq(self, FastaReadC other)
 * 
 * cdef class FastaChromosomeC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastaChromosomeC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastaChromosomeC *, struct __pyx_obj_6dinopy_11definitions_FastaChromosomeC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastaChromosomeC *__pyx_vtabptr_6dinopy_11definitions_FastaChromosomeC;


/* "dinopy/definitions.pxd":54
 *     cpdef bint _eq(self, FastaChromosomeC other)
 * 
 * cdef class FastaChromosomeInfoC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         bytes name
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastaChromosomeInfoC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastaChromosomeInfoC *, struct __pyx_obj_6dinopy_11definitions_FastaChromosomeInfoC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastaChromosomeInfoC *__pyx_vtabptr_6dinopy_11definitions_FastaChromosomeInfoC;


/* "dinopy/definitions.pxd":61
 *     cpdef bint _eq(self, FastaChromosomeInfoC other)
 * 
 * cdef class FastaGenomeC:             # <<<<<<<<<<<<<<
 *     cdef readonly:
 *         object sequence
 */

struct __pyx_vtabstruct_6dinopy_11definitions_FastaGenomeC {
  int (*_eq)(struct __pyx_obj_6dinopy_11definitions_FastaGenomeC *, struct __pyx_obj_6dinopy_11definitions_FastaGenomeC *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_11definitions_FastaGenomeC *__pyx_vtabptr_6dinopy_11definitions_FastaGenomeC;


/* "dinopy/output_opener.pxd":7
 *     cdef object stream
 * 
 * cdef class OutputOpener:             # <<<<<<<<<<<<<<
 *     cdef object sink
 *     cdef object writer
 */

struct __pyx_vtabstruct_6dinopy_13output_opener_OutputOpener {
  PyBoolObject *(*is_open)(struct __pyx_obj_6dinopy_13output_opener_OutputOpener *, int __pyx_skip_dispatch);
  PyObject *(*__pyx___enter__)(struct __pyx_obj_6dinopy_13output_opener_OutputOpener *, int __pyx_skip_dispatch);
  PyObject *(*__pyx___exit__)(struct __pyx_obj_6dinopy_13output_opener_OutputOpener *, PyObject *, PyObject *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*open)(struct __pyx_obj_6dinopy_13output_opener_OutputOpener *, int __pyx_skip_dispatch);
  PyObject *(*close)(struct __pyx_obj_6dinopy_13output_opener_OutputOpener *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_13output_opener_OutputOpener *__pyx_vtabptr_6dinopy_13output_opener_OutputOpener;


/* "dinopy/fasta_writer.pyx":15
 * cimport cython
 * 
 * cdef class FastaWriter(OutputOpener):             # <<<<<<<<<<<<<<
 *     @cython.embedsignature(False)
 *     def __init__(self, target, write_fai=False, force_overwrite=False, append=False, line_width=80):
 */

struct __pyx_vtabstruct_6dinopy_12fasta_writer_FastaWriter {
  struct __pyx_vtabstruct_6dinopy_13output_opener_OutputOpener __pyx_base;
  PyObject *(*write_genome)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_genome *__pyx_optional_args);
  PyObject *(*write_chromosomes)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosomes *__pyx_optional_args);
  PyObject *(*write_entries)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entries *__pyx_optional_args);
  PyObject *(*write_chromosome)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosome *__pyx_optional_args);
  PyObject *(*write_entry)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entry *__pyx_optional_args);
  PyObject *(*_write_entry_iterable)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry_iterable *__pyx_optional_args);
  PyObject *(*_write_entry)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry *__pyx_optional_args);
  PyObject *(*_normalize_chromosome_info)(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *, PyObject *, int, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_6dinopy_12fasta_writer_FastaWriter *__pyx_vtabptr_6dinopy_12fasta_writer_FastaWriter;

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static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter_write_genome(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_genome, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_genome *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter_write_chromosomes(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_chromosomes, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosomes *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter_write_entries(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_entries, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entries *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter_write_chromosome(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_chromosome, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_chromosome *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter_write_entry(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_entry, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter_write_entry *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter__write_entry_iterable(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_entries, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry_iterable *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter__write_entry(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_sequence, PyObject *__pyx_v_name, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_12fasta_writer_11FastaWriter__write_entry *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter__normalize_chromosome_info(CYTHON_UNUSED struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_chr_info, int __pyx_v_genome_length, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter___enter__(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_6dinopy_12fasta_writer_11FastaWriter_close(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/

/* Module declarations from 'cython' */

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

/* Module declarations from '__builtin__' */

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from '__builtin__' */

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

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

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

/* Module declarations from '__builtin__' */

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

/* Module declarations from 'cpython' */

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

/* Module declarations from 'numpy' */

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

/* Module declarations from 'dinopy.definitions' */
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastqReadC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastqReadWithoutNameC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastqReadWithoutQVC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastqLineC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastaEntryC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastaReadC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastaChromosomeC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastaChromosomeInfoC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_FastaGenomeC = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_IUPACRandomReplacementDict = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_basenumbers = 0;
static PyTypeObject *__pyx_ptype_6dinopy_11definitions_bit_base = 0;
static PyObject **__pyx_vp_6dinopy_11definitions_IUPAC_CHARACTERS = 0;
#define __pyx_v_6dinopy_11definitions_IUPAC_CHARACTERS (*__pyx_vp_6dinopy_11definitions_IUPAC_CHARACTERS)
static PyObject **__pyx_vp_6dinopy_11definitions_IUPAC_SHAPE_CHARACTERS = 0;
#define __pyx_v_6dinopy_11definitions_IUPAC_SHAPE_CHARACTERS (*__pyx_vp_6dinopy_11definitions_IUPAC_SHAPE_CHARACTERS)
static char *__pyx_vp_6dinopy_11definitions_NEWLINE_BYTE = 0;
#define __pyx_v_6dinopy_11definitions_NEWLINE_BYTE (*__pyx_vp_6dinopy_11definitions_NEWLINE_BYTE)
static char *__pyx_vp_6dinopy_11definitions_GREATER_BYTE = 0;
#define __pyx_v_6dinopy_11definitions_GREATER_BYTE (*__pyx_vp_6dinopy_11definitions_GREATER_BYTE)
static char *__pyx_vp_6dinopy_11definitions_AT_BYTE = 0;
#define __pyx_v_6dinopy_11definitions_AT_BYTE (*__pyx_vp_6dinopy_11definitions_AT_BYTE)
static char *__pyx_vp_6dinopy_11definitions_PLUS_BYTE = 0;
#define __pyx_v_6dinopy_11definitions_PLUS_BYTE (*__pyx_vp_6dinopy_11definitions_PLUS_BYTE)
static char *__pyx_vp_6dinopy_11definitions_SPACE_BYTE = 0;
#define __pyx_v_6dinopy_11definitions_SPACE_BYTE (*__pyx_vp_6dinopy_11definitions_SPACE_BYTE)
static char *__pyx_vp_6dinopy_11definitions_BASE_A = 0;
#define __pyx_v_6dinopy_11definitions_BASE_A (*__pyx_vp_6dinopy_11definitions_BASE_A)
static char *__pyx_vp_6dinopy_11definitions_BASE_C = 0;
#define __pyx_v_6dinopy_11definitions_BASE_C (*__pyx_vp_6dinopy_11definitions_BASE_C)
static char *__pyx_vp_6dinopy_11definitions_BASE_G = 0;
#define __pyx_v_6dinopy_11definitions_BASE_G (*__pyx_vp_6dinopy_11definitions_BASE_G)
static char *__pyx_vp_6dinopy_11definitions_BASE_T = 0;
#define __pyx_v_6dinopy_11definitions_BASE_T (*__pyx_vp_6dinopy_11definitions_BASE_T)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_A = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_A (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_A)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_C = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_C (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_C)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_G = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_G (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_G)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_T = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_T (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_T)
static char *__pyx_vp_6dinopy_11definitions_BASE_N = 0;
#define __pyx_v_6dinopy_11definitions_BASE_N (*__pyx_vp_6dinopy_11definitions_BASE_N)
static char *__pyx_vp_6dinopy_11definitions_BASE_U = 0;
#define __pyx_v_6dinopy_11definitions_BASE_U (*__pyx_vp_6dinopy_11definitions_BASE_U)
static char *__pyx_vp_6dinopy_11definitions_BASE_R = 0;
#define __pyx_v_6dinopy_11definitions_BASE_R (*__pyx_vp_6dinopy_11definitions_BASE_R)
static char *__pyx_vp_6dinopy_11definitions_BASE_Y = 0;
#define __pyx_v_6dinopy_11definitions_BASE_Y (*__pyx_vp_6dinopy_11definitions_BASE_Y)
static char *__pyx_vp_6dinopy_11definitions_BASE_M = 0;
#define __pyx_v_6dinopy_11definitions_BASE_M (*__pyx_vp_6dinopy_11definitions_BASE_M)
static char *__pyx_vp_6dinopy_11definitions_BASE_K = 0;
#define __pyx_v_6dinopy_11definitions_BASE_K (*__pyx_vp_6dinopy_11definitions_BASE_K)
static char *__pyx_vp_6dinopy_11definitions_BASE_W = 0;
#define __pyx_v_6dinopy_11definitions_BASE_W (*__pyx_vp_6dinopy_11definitions_BASE_W)
static char *__pyx_vp_6dinopy_11definitions_BASE_S = 0;
#define __pyx_v_6dinopy_11definitions_BASE_S (*__pyx_vp_6dinopy_11definitions_BASE_S)
static char *__pyx_vp_6dinopy_11definitions_BASE_B = 0;
#define __pyx_v_6dinopy_11definitions_BASE_B (*__pyx_vp_6dinopy_11definitions_BASE_B)
static char *__pyx_vp_6dinopy_11definitions_BASE_D = 0;
#define __pyx_v_6dinopy_11definitions_BASE_D (*__pyx_vp_6dinopy_11definitions_BASE_D)
static char *__pyx_vp_6dinopy_11definitions_BASE_H = 0;
#define __pyx_v_6dinopy_11definitions_BASE_H (*__pyx_vp_6dinopy_11definitions_BASE_H)
static char *__pyx_vp_6dinopy_11definitions_BASE_V = 0;
#define __pyx_v_6dinopy_11definitions_BASE_V (*__pyx_vp_6dinopy_11definitions_BASE_V)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_N = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_N (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_N)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_U = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_U (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_U)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_R = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_R (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_R)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_Y = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_Y (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_Y)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_M = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_M (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_M)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_K = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_K (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_K)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_W = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_W (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_W)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_S = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_S (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_S)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_B = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_B (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_B)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_D = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_D (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_D)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_H = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_H (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_H)
static char *__pyx_vp_6dinopy_11definitions_BASE_LOWER_V = 0;
#define __pyx_v_6dinopy_11definitions_BASE_LOWER_V (*__pyx_vp_6dinopy_11definitions_BASE_LOWER_V)
static int **__pyx_vp_6dinopy_11definitions__basenumber_array = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_array (*__pyx_vp_6dinopy_11definitions__basenumber_array)
static int **__pyx_vp_6dinopy_11definitions__basenumber_array_suppressed = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_array_suppressed (*__pyx_vp_6dinopy_11definitions__basenumber_array_suppressed)
static PyObject **__pyx_vp_6dinopy_11definitions__basenumber_from_byte = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_from_byte (*__pyx_vp_6dinopy_11definitions__basenumber_from_byte)
static PyObject **__pyx_vp_6dinopy_11definitions__basenumber_from_byte_suppressed = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_from_byte_suppressed (*__pyx_vp_6dinopy_11definitions__basenumber_from_byte_suppressed)
static PyObject **__pyx_vp_6dinopy_11definitions__basenumber_from_unicode = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_from_unicode (*__pyx_vp_6dinopy_11definitions__basenumber_from_unicode)
static PyObject **__pyx_vp_6dinopy_11definitions__basenumber_from_unicode_suppressed = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_from_unicode_suppressed (*__pyx_vp_6dinopy_11definitions__basenumber_from_unicode_suppressed)
static PyObject **__pyx_vp_6dinopy_11definitions__unicode_from_basenumber = 0;
#define __pyx_v_6dinopy_11definitions__unicode_from_basenumber (*__pyx_vp_6dinopy_11definitions__unicode_from_basenumber)
static PyObject **__pyx_vp_6dinopy_11definitions__unicode_from_byte = 0;
#define __pyx_v_6dinopy_11definitions__unicode_from_byte (*__pyx_vp_6dinopy_11definitions__unicode_from_byte)
static PyObject **__pyx_vp_6dinopy_11definitions__unicode_from_byte_suppressed = 0;
#define __pyx_v_6dinopy_11definitions__unicode_from_byte_suppressed (*__pyx_vp_6dinopy_11definitions__unicode_from_byte_suppressed)
static PyObject **__pyx_vp_6dinopy_11definitions__byte_from_unicode = 0;
#define __pyx_v_6dinopy_11definitions__byte_from_unicode (*__pyx_vp_6dinopy_11definitions__byte_from_unicode)
static PyObject **__pyx_vp_6dinopy_11definitions__byte_from_unicode_suppressed = 0;
#define __pyx_v_6dinopy_11definitions__byte_from_unicode_suppressed (*__pyx_vp_6dinopy_11definitions__byte_from_unicode_suppressed)
static PyObject **__pyx_vp_6dinopy_11definitions__byte_from_basenumber = 0;
#define __pyx_v_6dinopy_11definitions__byte_from_basenumber (*__pyx_vp_6dinopy_11definitions__byte_from_basenumber)
static PyObject **__pyx_vp_6dinopy_11definitions__str_from_2bit = 0;
#define __pyx_v_6dinopy_11definitions__str_from_2bit (*__pyx_vp_6dinopy_11definitions__str_from_2bit)
static PyObject **__pyx_vp_6dinopy_11definitions__byte_from_2bit = 0;
#define __pyx_v_6dinopy_11definitions__byte_from_2bit (*__pyx_vp_6dinopy_11definitions__byte_from_2bit)
static PyObject **__pyx_vp_6dinopy_11definitions__basenumber_from_2bit = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_from_2bit (*__pyx_vp_6dinopy_11definitions__basenumber_from_2bit)
static PyObject **__pyx_vp_6dinopy_11definitions__str_from_4bit = 0;
#define __pyx_v_6dinopy_11definitions__str_from_4bit (*__pyx_vp_6dinopy_11definitions__str_from_4bit)
static PyObject **__pyx_vp_6dinopy_11definitions__byte_from_4bit = 0;
#define __pyx_v_6dinopy_11definitions__byte_from_4bit (*__pyx_vp_6dinopy_11definitions__byte_from_4bit)
static PyObject **__pyx_vp_6dinopy_11definitions__basenumber_from_4bit = 0;
#define __pyx_v_6dinopy_11definitions__basenumber_from_4bit (*__pyx_vp_6dinopy_11definitions__basenumber_from_4bit)
static PyObject **__pyx_vp_6dinopy_11definitions__2bit_from_any = 0;
#define __pyx_v_6dinopy_11definitions__2bit_from_any (*__pyx_vp_6dinopy_11definitions__2bit_from_any)
static PyObject **__pyx_vp_6dinopy_11definitions__4bit_from_any = 0;
#define __pyx_v_6dinopy_11definitions__4bit_from_any (*__pyx_vp_6dinopy_11definitions__4bit_from_any)
static PyObject **__pyx_vp_6dinopy_11definitions__iupac_mapping = 0;
#define __pyx_v_6dinopy_11definitions__iupac_mapping (*__pyx_vp_6dinopy_11definitions__iupac_mapping)
static PyObject **__pyx_vp_6dinopy_11definitions__iupac_complement = 0;
#define __pyx_v_6dinopy_11definitions__iupac_complement (*__pyx_vp_6dinopy_11definitions__iupac_complement)
static PyObject **__pyx_vp_6dinopy_11definitions__complement = 0;
#define __pyx_v_6dinopy_11definitions__complement (*__pyx_vp_6dinopy_11definitions__complement)
static PyObject **__pyx_vp_6dinopy_11definitions_linetype_as_str = 0;
#define __pyx_v_6dinopy_11definitions_linetype_as_str (*__pyx_vp_6dinopy_11definitions_linetype_as_str)
static PyObject **__pyx_vp_6dinopy_11definitions_valid_dtypes = 0;
#define __pyx_v_6dinopy_11definitions_valid_dtypes (*__pyx_vp_6dinopy_11definitions_valid_dtypes)
static struct __pyx_obj_6dinopy_11definitions_IUPACRandomReplacementDict **__pyx_vp_6dinopy_11definitions__2bit_from_any_with_iupac_replacement = 0;
#define __pyx_v_6dinopy_11definitions__2bit_from_any_with_iupac_replacement (*__pyx_vp_6dinopy_11definitions__2bit_from_any_with_iupac_replacement)

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

/* Module declarations from 'dinopy.conversion' */
static PyObject *(*__pyx_f_6dinopy_10conversion_string_to_bytes)(PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_6dinopy_10conversion_string_to_bytes *__pyx_optional_args); /*proto*/
static PyObject *(*__pyx_f_6dinopy_10conversion_basenumbers_to_bytes)(PyObject *, int __pyx_skip_dispatch); /*proto*/

/* Module declarations from 'dinopy.output_opener' */
static PyTypeObject *__pyx_ptype_6dinopy_13output_opener__AsciiTextWrapper = 0;
static PyTypeObject *__pyx_ptype_6dinopy_13output_opener_OutputOpener = 0;

/* Module declarations from 'dinopy.fasta_writer' */
static PyTypeObject *__pyx_ptype_6dinopy_12fasta_writer_FastaWriter = 0;
#define __Pyx_MODULE_NAME "dinopy.fasta_writer"
int __pyx_module_is_main_dinopy__fasta_writer = 0;

/* Implementation of 'dinopy.fasta_writer' */
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_super;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_IOError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_IndexError;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static const char __pyx_k_f[] = "f";
static const char __pyx_k__2[] = "";
static const char __pyx_k_ba[] = "ba";
static const char __pyx_k_io[] = "io";
static const char __pyx_k_os[] = "os";
static const char __pyx_k__17[] = ">";
static const char __pyx_k__18[] = "\n";
static const char __pyx_k_fai[] = ".fai";
static const char __pyx_k_sys[] = "sys";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k_gzip[] = "gzip";
static const char __pyx_k_info[] = "info";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_io_2[] = "_io";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_path[] = "path";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_close[] = "close";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_enter[] = "__enter__";
static const char __pyx_k_entry[] = "entry";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_super[] = "super";
static const char __pyx_k_utf_8[] = "utf-8";
static const char __pyx_k_write[] = "write";
static const char __pyx_k_FileIO[] = "FileIO";
static const char __pyx_k_IOBase[] = "IOBase";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_decode[] = "decode";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_fai_io[] = "fai_io";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_genome[] = "genome";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_target[] = "target";
static const char __pyx_k_IOError[] = "IOError";
static const char __pyx_k_abspath[] = "abspath";
static const char __pyx_k_entries[] = "entries";
static const char __pyx_k_chr_info[] = "chr_info";
static const char __pyx_k_sequence[] = "sequence";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_write_fai[] = "write_fai";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_chromosome[] = "chromosome";
static const char __pyx_k_exceptions[] = "exceptions";
static const char __pyx_k_expanduser[] = "expanduser";
static const char __pyx_k_genome_fai[] = "genome.fai";
static const char __pyx_k_line_width[] = "line_width";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_chromosomes[] = "chromosomes";
static const char __pyx_k_line_length[] = "line_length";
static const char __pyx_k_write_entry[] = "write_entry";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_is_valid_fai[] = "is_valid_fai";
static const char __pyx_k_write_genome[] = "write_genome";
static const char __pyx_k_TextIOWrapper[] = "TextIOWrapper";
static const char __pyx_k_genome_length[] = "genome_length";
static const char __pyx_k_write_entries[] = "write_entries";
static const char __pyx_k_write_entry_2[] = "_write_entry";
static const char __pyx_k_BufferedIOBase[] = "BufferedIOBase";
static const char __pyx_k_BufferedWriter[] = "BufferedWriter";
static const char __pyx_k_chromosome_info[] = "chromosome_info";
static const char __pyx_k_force_overwrite[] = "force_overwrite";
static const char __pyx_k_write_chromosome[] = "write_chromosome";
static const char __pyx_k_InvalidDtypeError[] = "InvalidDtypeError";
static const char __pyx_k_write_chromosomes[] = "write_chromosomes";
static const char __pyx_k_Chromosome_start_0[] = "Chromosome start < 0 ({})";
static const char __pyx_k_DEFAULT_BUFFER_SIZE[] = "DEFAULT_BUFFER_SIZE";
static const char __pyx_k_write_entry_iterable[] = "_write_entry_iterable";
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static const char __pyx_k_Chromosome_start_chromosome_stop[] = "Chromosome start > chromosome stop ({} > {})";
static const char __pyx_k_Encountered_Error_while_iteratin[] = "Encountered Error while iterating over {}\nChromosome Info has to be of type bytes (a name) or list (of triples name, length, (start, stop))";
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static const char __pyx_k_Invalid_dtype_dtype_has_to_be_by[] = "Invalid dtype '{}', dtype has to be bytes, bytearray, str or dinopy.basenumbers";
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static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_Please_specify_EITHER_force_over[] = "Please specify EITHER force_overwrite (to overwrite an existing file) OR append (to append to an existing file).";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static const char __pyx_k_No_file_openend_Use_with_FastaWr_2[] = "No file openend. Use with FastaWriter(target) as faw:\n   faw.write_genome(...)";
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static PyObject *__pyx_n_s_write_entries;
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static PyObject *__pyx_n_s_write_entry_2;
static PyObject *__pyx_n_s_write_entry_iterable;
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static int __pyx_pf_6dinopy_12fasta_writer_11FastaWriter___init__(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_target, PyObject *__pyx_v_write_fai, PyObject *__pyx_v_force_overwrite, PyObject *__pyx_v_append, PyObject *__pyx_v_line_width); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_2write_genome(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_genome, PyObject *__pyx_v_chromosome_info, PyTypeObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_4write_chromosomes(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_chromosomes, PyTypeObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_6write_entries(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_entries, PyTypeObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_8write_chromosome(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_chromosome, PyTypeObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_10write_entry(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_entry, PyTypeObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_12_write_entry_iterable(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_entries, PyTypeObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_14_write_entry(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_sequence, PyObject *__pyx_v_name, PyTypeObject *__pyx_v_dtype); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_16_normalize_chromosome_info(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self, PyObject *__pyx_v_chr_info, int __pyx_v_genome_length); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_18__enter__(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_6dinopy_12fasta_writer_11FastaWriter_20close(struct __pyx_obj_6dinopy_12fasta_writer_FastaWriter *__pyx_v_self); /* proto */
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static PyObject *__pyx_tp_new_6dinopy_12fasta_writer_FastaWriter(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
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/* "dinopy/fasta_writer.pyx":17
 * cdef class FastaWriter(OutputOpener):
 *     @cython.embedsignature(False)
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 *         """__init__(target, write_fai=False, force_overwrite=False, append=False)
 * 
 */

/* Python wrapper */
static int __pyx_pw_6dinopy_12fasta_writer_11FastaWriter_1__init__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_6dinopy_12fasta_writer_11FastaWriter___init__[] = "__init__(target, write_fai=False, force_overwrite=False, append=False)\n\n        FastaWriter for writing genomes (or reads) to disk in FASTA format.\n\n        Arguments:\n            target (str, bytes, file or sys.stdout): Path where the file will\n                be written to. If the path ends with the suffix .gz, a gzipped\n                file will be created.\n            force_overwrite (bool): If set to ``True`` overwrites existing FASTA\n                files with the same name. (Default: False)\n            append (bool): If set to ``True``, existing files will not be\n                overwritten. Reads will be appended to the end of the file.\n                (Default: False)\n            write_fai (bool, bytes or string): If ``write_fai`` denotes a path,\n                write FASTA annotation information file to the specified path.\n                If ``write_fai`` is ``True`` (and does not resemble a path, i.e. is\n                not an instance of ``str`` or ``bytes``) annotation information will\n                be written to ``filepath + '.fai'``, which is the default behaviour.\n                Note that ``force_overwrite`` and ``append`` apply to fai-files aswell.\n                (Default: False)\n            line_width (int): The maximum number of characters per line, excluding newlines.\n                (Default: 80)\n\n        Raises:\n            ValueError: If the filename is invalid.\n            ValueError: If contradicting parameters are passed (overwrite=True and append=True).\n            TypeError: If target is neither a file, nor a path nor stdout.\n            IOError: If target is a file opened in the wrong mode.\n            FileExistsError: If target file (FASTA or fai) already exists and neither overwrite nor append have been specified.\n\n        Methods intended for public use are:\n\n          - :meth:`write_genome`: Write a whole genome to file. \n\n          - :meth:`write_entries`: Writes a list of tuples containing entr""y\n            names and entry sequences. The tuples have to be in the format:\n            ``(entry_sequence, entry_name)``\n        \n            An entry can be a chromosome or a read.\n\n          - :meth:`write_entry`: Write a single entry to the openend file.\n\n          - :meth:`write_chromosomes`: Writes a list of chromosomes to file.\n            Each chromosome must consist of a tuple containing:\n            ``(chromosome_sequence, chromosome_name)``\n\n          - :meth:`write_chromosome`: Writes a single chromosome to file.\n\n        Examples:\n\n            Write a genome of three chromosomes from a single sequence::\n\n                seq = b\"ACGTAACCGGTTAAACCCGGGTTT\"\n                chr_info = [\n                    (b\"single\", 4, (0,4)),\n                    (b\"double\", 8, (4,12)),\n                    (b\"triple\", 12, (12,24)),\n                ]\n                with dinopy.FastaWriter('somefile.fasta') as faw:\n                    faw.write_genome(seq, chr_info)\n\n\n            Write a genome of three chromosomes from separate chromosomes::\n\n                chromosomes = [\n                    ('ACGTACGT', b'chr1'),\n                    ('GCGTAGGATGGGCCTATCGA', b'chr2'),\n                    ('CCATAGGATAGACCANNACAGATCAN', b'chr3'),\n                ]\n                with dinopy.FastaWriter('somefile.fasta') as faw:\n                    faw.write_chromosomes(chromosomes, dtype=str)\n        ";
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            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

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

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

/* 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

/* 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

/* 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 PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* PyFunctionFastCall */
  #if CYTHON_FAST_PYCALL
#include "frameobject.h"
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = PyThreadState_GET();
    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 = f->f_localsplus;
    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, int 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, nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif  // CPython < 3.6
#endif  // CYTHON_FAST_PYCALL

/* 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);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST)));
    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());
    return (*((__Pyx_PyCFunctionFast)meth)) (self, args, nargs, NULL);
}
#endif  // CYTHON_FAST_PYCCALL

/* GetModuleGlobalName */
  static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    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
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_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

/* 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);
}

/* 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");
}

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

/* 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");
}

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

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

/* SliceTupleAndList */
      #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_crop_slice(Py_ssize_t* _start, Py_ssize_t* _stop, Py_ssize_t* _length) {
    Py_ssize_t start = *_start, stop = *_stop, length = *_length;
    if (start < 0) {
        start += length;
        if (start < 0)
            start = 0;
    }
    if (stop < 0)
        stop += length;
    else if (stop > length)
        stop = length;
    *_length = stop - start;
    *_start = start;
    *_stop = stop;
}
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject** CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject* __Pyx_PyList_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyList_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyList_New(0);
    dest = PyList_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyListObject*)src)->ob_item + start,
        ((PyListObject*)dest)->ob_item,
        length);
    return dest;
}
static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyTuple_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyTuple_New(0);
    dest = PyTuple_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyTupleObject*)src)->ob_item + start,
        ((PyTupleObject*)dest)->ob_item,
        length);
    return dest;
}
#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) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

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

/* PyErrExceptionMatches */
        #if CYTHON_FAST_THREAD_STATE
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;
    return 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
    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;
    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;
}

/* 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(PyObject_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

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

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

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

/* 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;
}

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

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

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

/* 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;
    py_code = __pyx_find_code_object(c_line ? c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

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

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

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

/* 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 = 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 = 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:
                        z = __Pyx_c_prod_float(a, a);
                        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, -1);
                }
            } 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 = 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 = 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:
                        z = __Pyx_c_prod_double(a, a);
                        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, -1);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

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

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

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

/* 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;
}

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

/* TypeImport */
          #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

/* 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;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (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 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 (PyInt_Check(x) || PyLong_Check(x))
#else
  if (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 = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
  #else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
  #endif
#else
  res = PyNumber_Int(x);
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
