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  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
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  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
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#define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
#define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
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typedef struct {
    unaryfunc am_await;
    unaryfunc am_aiter;
    unaryfunc am_anext;
} __Pyx_PyAsyncMethodsStruct;
#define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
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#define __Pyx_PyType_AsAsync(obj) NULL
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    #define CYTHON_RESTRICT restrict
  #else
    #define CYTHON_RESTRICT
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)

#ifndef CYTHON_INLINE
  #if defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

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


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

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

#define __PYX_HAVE__scipy__special___ellip_harm_2
#define __PYX_HAVE_API__scipy__special___ellip_harm_2
#include "math.h"
#include "string.h"
#include "stdlib.h"
#include "sf_error.h"
#include "numpy/npy_math.h"
#include "lapack_defs.h"
#include "stdio.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#endif

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

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_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_Int(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_COMPILING_IN_CPYTHON
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


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

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

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


static const char *__pyx_f[] = {
  "scipy/special/_ellip_harm_2.pyx",
  "scipy/special/_ellip_harm.pxd",
  "__init__.pxd",
  "type.pxd",
};

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/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;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/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;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/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;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * #ctypedef npy_int128     int128_t
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 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
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 * ctypedef npy_uint32     uint32_t
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typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/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
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typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
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typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * ctypedef npy_uint16     uint16_t
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typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * #ctypedef npy_uint128    uint128_t
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typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * 
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
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typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
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/* "../../../../virtualenvs/scipy_py27/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
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static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

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

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

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

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

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

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static void __Pyx_AddTraceback(const char *funcname, int c_line,
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/* Module declarations from 'scipy.special.sf_error' */

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/* Module declarations from 'scipy.special._ellip_harm' */
static CYTHON_INLINE double *__pyx_f_5scipy_7special_11_ellip_harm_lame_coefficients(double, double, int, int, void **, double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_5scipy_7special_11_ellip_harm_ellip_harm_eval(double, double, int, int, double, double *, double, double); /*proto*/
static CYTHON_INLINE double __pyx_f_5scipy_7special_11_ellip_harm_ellip_harmonic(double, double, int, int, double, double, double); /*proto*/

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/* Module declarations from 'scipy.special._ellip_harm_2' */
static double *__pyx_v_5scipy_7special_13_ellip_harm_2__global_eval;
static double __pyx_v_5scipy_7special_13_ellip_harm_2__global_h2;
static double __pyx_v_5scipy_7special_13_ellip_harm_2__global_k2;
static int __pyx_v_5scipy_7special_13_ellip_harm_2__global_n;
static int __pyx_v_5scipy_7special_13_ellip_harm_2__global_p;
static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand(double); /*proto*/
static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand1(double); /*proto*/
static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand2(double); /*proto*/
static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand3(double); /*proto*/
static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand4(double); /*proto*/
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static PyObject *__pyx_pf_5scipy_7special_13_ellip_harm_2_2_ellipsoid_norm(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_h2, double __pyx_v_k2, int __pyx_v_n, int __pyx_v_p); /* proto */
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/* "scipy/special/_ellip_harm_2.pyx":16
 * from ._ellip_harm cimport ellip_harmonic, ellip_harm_eval, lame_coefficients
 * 
 * cdef double _F_integrand(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, result
 *     cdef int n, p
 */

static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand(double __pyx_v_t) {
  double __pyx_v_h2;
  double __pyx_v_k2;
  double __pyx_v_t2;
  double __pyx_v_i;
  double __pyx_v_result;
  int __pyx_v_n;
  int __pyx_v_p;
  double *__pyx_v_eval;
  double __pyx_r;
  double __pyx_t_1;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/special/_ellip_harm_2.pyx":20
 *     cdef int n, p
 *     cdef double * eval
 *     t2 = t*t             # <<<<<<<<<<<<<<
 *     h2 = _global_h2
 *     k2 = _global_k2
 */
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "scipy/special/_ellip_harm_2.pyx":21
 *     cdef double * eval
 *     t2 = t*t
 *     h2 = _global_h2             # <<<<<<<<<<<<<<
 *     k2 = _global_k2
 *     n = _global_n
 */
  __pyx_v_h2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_h2;

  /* "scipy/special/_ellip_harm_2.pyx":22
 *     t2 = t*t
 *     h2 = _global_h2
 *     k2 = _global_k2             # <<<<<<<<<<<<<<
 *     n = _global_n
 *     p = _global_p
 */
  __pyx_v_k2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_k2;

  /* "scipy/special/_ellip_harm_2.pyx":23
 *     h2 = _global_h2
 *     k2 = _global_k2
 *     n = _global_n             # <<<<<<<<<<<<<<
 *     p = _global_p
 *     eval = _global_eval
 */
  __pyx_v_n = __pyx_v_5scipy_7special_13_ellip_harm_2__global_n;

  /* "scipy/special/_ellip_harm_2.pyx":24
 *     k2 = _global_k2
 *     n = _global_n
 *     p = _global_p             # <<<<<<<<<<<<<<
 *     eval = _global_eval
 *     i = ellip_harm_eval( h2, k2, n, p, 1/t, eval, 1, 1)
 */
  __pyx_v_p = __pyx_v_5scipy_7special_13_ellip_harm_2__global_p;

  /* "scipy/special/_ellip_harm_2.pyx":25
 *     n = _global_n
 *     p = _global_p
 *     eval = _global_eval             # <<<<<<<<<<<<<<
 *     i = ellip_harm_eval( h2, k2, n, p, 1/t, eval, 1, 1)
 *     result = 1/(i*i*sqrt(1 - t2*k2)*sqrt(1 - t2*h2))
 */
  __pyx_v_eval = __pyx_v_5scipy_7special_13_ellip_harm_2__global_eval;

  /* "scipy/special/_ellip_harm_2.pyx":26
 *     p = _global_p
 *     eval = _global_eval
 *     i = ellip_harm_eval( h2, k2, n, p, 1/t, eval, 1, 1)             # <<<<<<<<<<<<<<
 *     result = 1/(i*i*sqrt(1 - t2*k2)*sqrt(1 - t2*h2))
 *     return result
 */
  if (unlikely(__pyx_v_t == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 26; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_i = __pyx_f_5scipy_7special_11_ellip_harm_ellip_harm_eval(__pyx_v_h2, __pyx_v_k2, __pyx_v_n, __pyx_v_p, (1.0 / __pyx_v_t), __pyx_v_eval, 1.0, 1.0);

  /* "scipy/special/_ellip_harm_2.pyx":27
 *     eval = _global_eval
 *     i = ellip_harm_eval( h2, k2, n, p, 1/t, eval, 1, 1)
 *     result = 1/(i*i*sqrt(1 - t2*k2)*sqrt(1 - t2*h2))             # <<<<<<<<<<<<<<
 *     return result
 * 
 */
  __pyx_t_1 = (((__pyx_v_i * __pyx_v_i) * sqrt((1.0 - (__pyx_v_t2 * __pyx_v_k2)))) * sqrt((1.0 - (__pyx_v_t2 * __pyx_v_h2))));
  if (unlikely(__pyx_t_1 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 27; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_result = (1.0 / __pyx_t_1);

  /* "scipy/special/_ellip_harm_2.pyx":28
 *     i = ellip_harm_eval( h2, k2, n, p, 1/t, eval, 1, 1)
 *     result = 1/(i*i*sqrt(1 - t2*k2)*sqrt(1 - t2*h2))
 *     return result             # <<<<<<<<<<<<<<
 * 
 * _F_integrand_t = ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "scipy/special/_ellip_harm_2.pyx":16
 * from ._ellip_harm cimport ellip_harmonic, ellip_harm_eval, lame_coefficients
 * 
 * cdef double _F_integrand(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, result
 *     cdef int n, p
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.special._ellip_harm_2._F_integrand", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/special/_ellip_harm_2.pyx":33
 * _F_integrand_ctypes = ctypes.cast(<size_t>&_F_integrand, _F_integrand_t)
 * 
 * cdef double _F_integrand1(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand1(double __pyx_v_t) {
  double __pyx_v_h2;
  double __pyx_v_k2;
  CYTHON_UNUSED double __pyx_v_t2;
  double __pyx_v_i;
  double __pyx_v_h;
  double __pyx_v_result;
  int __pyx_v_n;
  int __pyx_v_p;
  double *__pyx_v_eval;
  double __pyx_v_k;
  double __pyx_r;
  double __pyx_t_1;
  double __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/special/_ellip_harm_2.pyx":37
 *     cdef int n, p
 *     cdef double * eval
 *     t2 = t*t             # <<<<<<<<<<<<<<
 *     h2 = _global_h2
 *     k2 =_global_k2
 */
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "scipy/special/_ellip_harm_2.pyx":38
 *     cdef double * eval
 *     t2 = t*t
 *     h2 = _global_h2             # <<<<<<<<<<<<<<
 *     k2 =_global_k2
 *     n = _global_n
 */
  __pyx_v_h2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_h2;

  /* "scipy/special/_ellip_harm_2.pyx":39
 *     t2 = t*t
 *     h2 = _global_h2
 *     k2 =_global_k2             # <<<<<<<<<<<<<<
 *     n = _global_n
 *     p = _global_p
 */
  __pyx_v_k2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_k2;

  /* "scipy/special/_ellip_harm_2.pyx":40
 *     h2 = _global_h2
 *     k2 =_global_k2
 *     n = _global_n             # <<<<<<<<<<<<<<
 *     p = _global_p
 *     eval = _global_eval
 */
  __pyx_v_n = __pyx_v_5scipy_7special_13_ellip_harm_2__global_n;

  /* "scipy/special/_ellip_harm_2.pyx":41
 *     k2 =_global_k2
 *     n = _global_n
 *     p = _global_p             # <<<<<<<<<<<<<<
 *     eval = _global_eval
 * 
 */
  __pyx_v_p = __pyx_v_5scipy_7special_13_ellip_harm_2__global_p;

  /* "scipy/special/_ellip_harm_2.pyx":42
 *     n = _global_n
 *     p = _global_p
 *     eval = _global_eval             # <<<<<<<<<<<<<<
 * 
 *     h = sqrt(h2)
 */
  __pyx_v_eval = __pyx_v_5scipy_7special_13_ellip_harm_2__global_eval;

  /* "scipy/special/_ellip_harm_2.pyx":44
 *     eval = _global_eval
 * 
 *     h = sqrt(h2)             # <<<<<<<<<<<<<<
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 */
  __pyx_v_h = sqrt(__pyx_v_h2);

  /* "scipy/special/_ellip_harm_2.pyx":45
 * 
 *     h = sqrt(h2)
 *     k = sqrt(k2)             # <<<<<<<<<<<<<<
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i/sqrt((t + h)*(t + k))
 */
  __pyx_v_k = sqrt(__pyx_v_k2);

  /* "scipy/special/_ellip_harm_2.pyx":46
 *     h = sqrt(h2)
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)             # <<<<<<<<<<<<<<
 *     result = i*i/sqrt((t + h)*(t + k))
 *     return result
 */
  __pyx_v_i = __pyx_f_5scipy_7special_11_ellip_harm_ellip_harm_eval(__pyx_v_h2, __pyx_v_k2, __pyx_v_n, __pyx_v_p, __pyx_v_t, __pyx_v_eval, 1.0, 1.0);

  /* "scipy/special/_ellip_harm_2.pyx":47
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i/sqrt((t + h)*(t + k))             # <<<<<<<<<<<<<<
 *     return result
 * 
 */
  __pyx_t_1 = (__pyx_v_i * __pyx_v_i);
  __pyx_t_2 = sqrt(((__pyx_v_t + __pyx_v_h) * (__pyx_v_t + __pyx_v_k)));
  if (unlikely(__pyx_t_2 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 47; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_result = (__pyx_t_1 / __pyx_t_2);

  /* "scipy/special/_ellip_harm_2.pyx":48
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i/sqrt((t + h)*(t + k))
 *     return result             # <<<<<<<<<<<<<<
 * 
 * _F_integrand1_t = ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "scipy/special/_ellip_harm_2.pyx":33
 * _F_integrand_ctypes = ctypes.cast(<size_t>&_F_integrand, _F_integrand_t)
 * 
 * cdef double _F_integrand1(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.special._ellip_harm_2._F_integrand1", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/special/_ellip_harm_2.pyx":53
 * _F_integrand1_ctypes = ctypes.cast(<size_t>&_F_integrand1, _F_integrand1_t)
 * 
 * cdef double _F_integrand2(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand2(double __pyx_v_t) {
  double __pyx_v_h2;
  double __pyx_v_k2;
  double __pyx_v_t2;
  double __pyx_v_i;
  double __pyx_v_h;
  double __pyx_v_result;
  int __pyx_v_n;
  int __pyx_v_p;
  double *__pyx_v_eval;
  double __pyx_v_k;
  double __pyx_r;
  double __pyx_t_1;
  double __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/special/_ellip_harm_2.pyx":57
 *     cdef int n, p
 *     cdef double * eval
 *     t2 = t*t             # <<<<<<<<<<<<<<
 *     h2 = _global_h2
 *     k2 =_global_k2
 */
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "scipy/special/_ellip_harm_2.pyx":58
 *     cdef double * eval
 *     t2 = t*t
 *     h2 = _global_h2             # <<<<<<<<<<<<<<
 *     k2 =_global_k2
 *     n = _global_n
 */
  __pyx_v_h2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_h2;

  /* "scipy/special/_ellip_harm_2.pyx":59
 *     t2 = t*t
 *     h2 = _global_h2
 *     k2 =_global_k2             # <<<<<<<<<<<<<<
 *     n = _global_n
 *     p = _global_p
 */
  __pyx_v_k2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_k2;

  /* "scipy/special/_ellip_harm_2.pyx":60
 *     h2 = _global_h2
 *     k2 =_global_k2
 *     n = _global_n             # <<<<<<<<<<<<<<
 *     p = _global_p
 *     eval = _global_eval
 */
  __pyx_v_n = __pyx_v_5scipy_7special_13_ellip_harm_2__global_n;

  /* "scipy/special/_ellip_harm_2.pyx":61
 *     k2 =_global_k2
 *     n = _global_n
 *     p = _global_p             # <<<<<<<<<<<<<<
 *     eval = _global_eval
 * 
 */
  __pyx_v_p = __pyx_v_5scipy_7special_13_ellip_harm_2__global_p;

  /* "scipy/special/_ellip_harm_2.pyx":62
 *     n = _global_n
 *     p = _global_p
 *     eval = _global_eval             # <<<<<<<<<<<<<<
 * 
 *     h = sqrt(h2)
 */
  __pyx_v_eval = __pyx_v_5scipy_7special_13_ellip_harm_2__global_eval;

  /* "scipy/special/_ellip_harm_2.pyx":64
 *     eval = _global_eval
 * 
 *     h = sqrt(h2)             # <<<<<<<<<<<<<<
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 */
  __pyx_v_h = sqrt(__pyx_v_h2);

  /* "scipy/special/_ellip_harm_2.pyx":65
 * 
 *     h = sqrt(h2)
 *     k = sqrt(k2)             # <<<<<<<<<<<<<<
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = t2*i*i/sqrt((t + h)*(t + k))
 */
  __pyx_v_k = sqrt(__pyx_v_k2);

  /* "scipy/special/_ellip_harm_2.pyx":66
 *     h = sqrt(h2)
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)             # <<<<<<<<<<<<<<
 *     result = t2*i*i/sqrt((t + h)*(t + k))
 *     return result
 */
  __pyx_v_i = __pyx_f_5scipy_7special_11_ellip_harm_ellip_harm_eval(__pyx_v_h2, __pyx_v_k2, __pyx_v_n, __pyx_v_p, __pyx_v_t, __pyx_v_eval, 1.0, 1.0);

  /* "scipy/special/_ellip_harm_2.pyx":67
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = t2*i*i/sqrt((t + h)*(t + k))             # <<<<<<<<<<<<<<
 *     return result
 * 
 */
  __pyx_t_1 = ((__pyx_v_t2 * __pyx_v_i) * __pyx_v_i);
  __pyx_t_2 = sqrt(((__pyx_v_t + __pyx_v_h) * (__pyx_v_t + __pyx_v_k)));
  if (unlikely(__pyx_t_2 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 67; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_result = (__pyx_t_1 / __pyx_t_2);

  /* "scipy/special/_ellip_harm_2.pyx":68
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = t2*i*i/sqrt((t + h)*(t + k))
 *     return result             # <<<<<<<<<<<<<<
 * 
 * _F_integrand2_t = ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "scipy/special/_ellip_harm_2.pyx":53
 * _F_integrand1_ctypes = ctypes.cast(<size_t>&_F_integrand1, _F_integrand1_t)
 * 
 * cdef double _F_integrand2(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.special._ellip_harm_2._F_integrand2", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/special/_ellip_harm_2.pyx":73
 * _F_integrand2_ctypes = ctypes.cast(<size_t>&_F_integrand2, _F_integrand2_t)
 * 
 * cdef double _F_integrand3(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand3(double __pyx_v_t) {
  double __pyx_v_h2;
  double __pyx_v_k2;
  double __pyx_v_t2;
  double __pyx_v_i;
  double __pyx_v_h;
  double __pyx_v_result;
  int __pyx_v_n;
  int __pyx_v_p;
  double *__pyx_v_eval;
  CYTHON_UNUSED double __pyx_v_k;
  double __pyx_r;
  double __pyx_t_1;
  double __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/special/_ellip_harm_2.pyx":77
 *     cdef int n, p
 *     cdef double * eval
 *     t2 = t*t             # <<<<<<<<<<<<<<
 *     h2 = _global_h2
 *     k2 =_global_k2
 */
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "scipy/special/_ellip_harm_2.pyx":78
 *     cdef double * eval
 *     t2 = t*t
 *     h2 = _global_h2             # <<<<<<<<<<<<<<
 *     k2 =_global_k2
 *     n = _global_n
 */
  __pyx_v_h2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_h2;

  /* "scipy/special/_ellip_harm_2.pyx":79
 *     t2 = t*t
 *     h2 = _global_h2
 *     k2 =_global_k2             # <<<<<<<<<<<<<<
 *     n = _global_n
 *     p = _global_p
 */
  __pyx_v_k2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_k2;

  /* "scipy/special/_ellip_harm_2.pyx":80
 *     h2 = _global_h2
 *     k2 =_global_k2
 *     n = _global_n             # <<<<<<<<<<<<<<
 *     p = _global_p
 *     eval = _global_eval
 */
  __pyx_v_n = __pyx_v_5scipy_7special_13_ellip_harm_2__global_n;

  /* "scipy/special/_ellip_harm_2.pyx":81
 *     k2 =_global_k2
 *     n = _global_n
 *     p = _global_p             # <<<<<<<<<<<<<<
 *     eval = _global_eval
 * 
 */
  __pyx_v_p = __pyx_v_5scipy_7special_13_ellip_harm_2__global_p;

  /* "scipy/special/_ellip_harm_2.pyx":82
 *     n = _global_n
 *     p = _global_p
 *     eval = _global_eval             # <<<<<<<<<<<<<<
 * 
 *     h = sqrt(h2)
 */
  __pyx_v_eval = __pyx_v_5scipy_7special_13_ellip_harm_2__global_eval;

  /* "scipy/special/_ellip_harm_2.pyx":84
 *     eval = _global_eval
 * 
 *     h = sqrt(h2)             # <<<<<<<<<<<<<<
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 */
  __pyx_v_h = sqrt(__pyx_v_h2);

  /* "scipy/special/_ellip_harm_2.pyx":85
 * 
 *     h = sqrt(h2)
 *     k = sqrt(k2)             # <<<<<<<<<<<<<<
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i/sqrt((t + h)*(k2 - t2))
 */
  __pyx_v_k = sqrt(__pyx_v_k2);

  /* "scipy/special/_ellip_harm_2.pyx":86
 *     h = sqrt(h2)
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)             # <<<<<<<<<<<<<<
 *     result = i*i/sqrt((t + h)*(k2 - t2))
 *     return result
 */
  __pyx_v_i = __pyx_f_5scipy_7special_11_ellip_harm_ellip_harm_eval(__pyx_v_h2, __pyx_v_k2, __pyx_v_n, __pyx_v_p, __pyx_v_t, __pyx_v_eval, 1.0, 1.0);

  /* "scipy/special/_ellip_harm_2.pyx":87
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i/sqrt((t + h)*(k2 - t2))             # <<<<<<<<<<<<<<
 *     return result
 * 
 */
  __pyx_t_1 = (__pyx_v_i * __pyx_v_i);
  __pyx_t_2 = sqrt(((__pyx_v_t + __pyx_v_h) * (__pyx_v_k2 - __pyx_v_t2)));
  if (unlikely(__pyx_t_2 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 87; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_result = (__pyx_t_1 / __pyx_t_2);

  /* "scipy/special/_ellip_harm_2.pyx":88
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i/sqrt((t + h)*(k2 - t2))
 *     return result             # <<<<<<<<<<<<<<
 * 
 * _F_integrand3_t = ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "scipy/special/_ellip_harm_2.pyx":73
 * _F_integrand2_ctypes = ctypes.cast(<size_t>&_F_integrand2, _F_integrand2_t)
 * 
 * cdef double _F_integrand3(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

  /* function exit code */
  __pyx_L1_error:;
  __Pyx_WriteUnraisable("scipy.special._ellip_harm_2._F_integrand3", __pyx_clineno, __pyx_lineno, __pyx_filename, 0, 1);
  __pyx_r = 0;
  __pyx_L0:;
  return __pyx_r;
}

/* "scipy/special/_ellip_harm_2.pyx":93
 * _F_integrand3_ctypes = ctypes.cast(<size_t>&_F_integrand3, _F_integrand3_t)
 * 
 * cdef double _F_integrand4(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

static double __pyx_f_5scipy_7special_13_ellip_harm_2__F_integrand4(double __pyx_v_t) {
  double __pyx_v_h2;
  double __pyx_v_k2;
  double __pyx_v_t2;
  double __pyx_v_i;
  double __pyx_v_h;
  double __pyx_v_result;
  int __pyx_v_n;
  int __pyx_v_p;
  double *__pyx_v_eval;
  CYTHON_UNUSED double __pyx_v_k;
  double __pyx_r;
  double __pyx_t_1;
  double __pyx_t_2;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "scipy/special/_ellip_harm_2.pyx":97
 *     cdef int n, p
 *     cdef double *eval
 *     t2 = t*t             # <<<<<<<<<<<<<<
 *     h2 = _global_h2
 *     k2 =_global_k2
 */
  __pyx_v_t2 = (__pyx_v_t * __pyx_v_t);

  /* "scipy/special/_ellip_harm_2.pyx":98
 *     cdef double *eval
 *     t2 = t*t
 *     h2 = _global_h2             # <<<<<<<<<<<<<<
 *     k2 =_global_k2
 *     n = _global_n
 */
  __pyx_v_h2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_h2;

  /* "scipy/special/_ellip_harm_2.pyx":99
 *     t2 = t*t
 *     h2 = _global_h2
 *     k2 =_global_k2             # <<<<<<<<<<<<<<
 *     n = _global_n
 *     p = _global_p
 */
  __pyx_v_k2 = __pyx_v_5scipy_7special_13_ellip_harm_2__global_k2;

  /* "scipy/special/_ellip_harm_2.pyx":100
 *     h2 = _global_h2
 *     k2 =_global_k2
 *     n = _global_n             # <<<<<<<<<<<<<<
 *     p = _global_p
 *     eval = _global_eval
 */
  __pyx_v_n = __pyx_v_5scipy_7special_13_ellip_harm_2__global_n;

  /* "scipy/special/_ellip_harm_2.pyx":101
 *     k2 =_global_k2
 *     n = _global_n
 *     p = _global_p             # <<<<<<<<<<<<<<
 *     eval = _global_eval
 * 
 */
  __pyx_v_p = __pyx_v_5scipy_7special_13_ellip_harm_2__global_p;

  /* "scipy/special/_ellip_harm_2.pyx":102
 *     n = _global_n
 *     p = _global_p
 *     eval = _global_eval             # <<<<<<<<<<<<<<
 * 
 *     h = sqrt(h2)
 */
  __pyx_v_eval = __pyx_v_5scipy_7special_13_ellip_harm_2__global_eval;

  /* "scipy/special/_ellip_harm_2.pyx":104
 *     eval = _global_eval
 * 
 *     h = sqrt(h2)             # <<<<<<<<<<<<<<
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 */
  __pyx_v_h = sqrt(__pyx_v_h2);

  /* "scipy/special/_ellip_harm_2.pyx":105
 * 
 *     h = sqrt(h2)
 *     k = sqrt(k2)             # <<<<<<<<<<<<<<
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i*t2/sqrt((t + h)*(k2 - t2))
 */
  __pyx_v_k = sqrt(__pyx_v_k2);

  /* "scipy/special/_ellip_harm_2.pyx":106
 *     h = sqrt(h2)
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)             # <<<<<<<<<<<<<<
 *     result = i*i*t2/sqrt((t + h)*(k2 - t2))
 *     return result
 */
  __pyx_v_i = __pyx_f_5scipy_7special_11_ellip_harm_ellip_harm_eval(__pyx_v_h2, __pyx_v_k2, __pyx_v_n, __pyx_v_p, __pyx_v_t, __pyx_v_eval, 1.0, 1.0);

  /* "scipy/special/_ellip_harm_2.pyx":107
 *     k = sqrt(k2)
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i*t2/sqrt((t + h)*(k2 - t2))             # <<<<<<<<<<<<<<
 *     return result
 * 
 */
  __pyx_t_1 = ((__pyx_v_i * __pyx_v_i) * __pyx_v_t2);
  __pyx_t_2 = sqrt(((__pyx_v_t + __pyx_v_h) * (__pyx_v_k2 - __pyx_v_t2)));
  if (unlikely(__pyx_t_2 == 0)) {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
    #endif
    PyErr_SetString(PyExc_ZeroDivisionError, "float division");
    #ifdef WITH_THREAD
    PyGILState_Release(__pyx_gilstate_save);
    #endif
    {__pyx_filename = __pyx_f[0]; __pyx_lineno = 107; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  }
  __pyx_v_result = (__pyx_t_1 / __pyx_t_2);

  /* "scipy/special/_ellip_harm_2.pyx":108
 *     i = ellip_harm_eval( h2, k2, n, p, t, eval, 1, 1)
 *     result = i*i*t2/sqrt((t + h)*(k2 - t2))
 *     return result             # <<<<<<<<<<<<<<
 * 
 * _F_integrand4_t = ctypes.CFUNCTYPE(ctypes.c_double, ctypes.c_double)
 */
  __pyx_r = __pyx_v_result;
  goto __pyx_L0;

  /* "scipy/special/_ellip_harm_2.pyx":93
 * _F_integrand3_ctypes = ctypes.cast(<size_t>&_F_integrand3, _F_integrand3_t)
 * 
 * cdef double _F_integrand4(double t) nogil:             # <<<<<<<<<<<<<<
 *     cdef double h2, k2, t2, i, a, h, result
 *     cdef int n, p
 */

  /* function exit code */
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 * 
 *     if fabs(signm) != 1 or fabs(signn) != 1:
 *         sf_error.error("ellip_harm", sf_error.ARG, "invalid signm or signn")             # <<<<<<<<<<<<<<
 *         return NULL
 * 
 */
    sf_error(__pyx_k_ellip_harm, SF_ERROR_ARG, __pyx_k_invalid_signm_or_signn);

    /* "_ellip_harm.pxd":62
 *     if fabs(signm) != 1 or fabs(signn) != 1:
 *         sf_error.error("ellip_harm", sf_error.ARG, "invalid signm or signn")
 *         return NULL             # <<<<<<<<<<<<<<
 * 
 *     cdef double s2, alpha, beta, gamma, lamba_romain, pp, psi, t1, tol, vl, vu
 */
    __pyx_r = NULL;
    goto __pyx_L0;

    /* "_ellip_harm.pxd":60
 *         return NULL
 * 
 *     if fabs(signm) != 1 or fabs(signn) != 1:             # <<<<<<<<<<<<<<
 *         sf_error.error("ellip_harm", sf_error.ARG, "invalid signm or signn")
 *         return NULL
 */
  }

  /* "_ellip_harm.pxd":68
 *     cdef char t
 * 
 *     r = n/2             # <<<<<<<<<<<<<<
 *     alpha = h2
 *     beta = k2 - h2
 */
  __pyx_v_r = __Pyx_div_long(__pyx_v_n, 2);

  /* "_ellip_harm.pxd":69
 * 
 *     r = n/2
 *     alpha = h2             # <<<<<<<<<<<<<<
 *     beta = k2 - h2
 *     gamma = alpha - beta
 */
  __pyx_v_alpha = __pyx_v_h2;

  /* "_ellip_harm.pxd":70
 *     r = n/2
 *     alpha = h2
 *     beta = k2 - h2             # <<<<<<<<<<<<<<
 *     gamma = alpha - beta
 * 
 */
  __pyx_v_beta = (__pyx_v_k2 - __pyx_v_h2);

  /* "_ellip_harm.pxd":71
 *     alpha = h2
 *     beta = k2 - h2
 *     gamma = alpha - beta             # <<<<<<<<<<<<<<
 * 
 *     if p - 1 < r + 1:
 */
  __pyx_v_gamma = (__pyx_v_alpha - __pyx_v_beta);

  /* "_ellip_harm.pxd":73
 *     gamma = alpha - beta
 * 
 *     if p - 1 < r + 1:             # <<<<<<<<<<<<<<
 *         t, tp, size = 'K', p, r + 1
 *     elif p - 1 < (n - r) + (r + 1):
 */
  __pyx_t_1 = (((__pyx_v_p - 1) < (__pyx_v_r + 1)) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":74
 * 
 *     if p - 1 < r + 1:
 *         t, tp, size = 'K', p, r + 1             # <<<<<<<<<<<<<<
 *     elif p - 1 < (n - r) + (r + 1):
 *         t, tp, size = 'L', p - (r + 1), n - r
 */
    __pyx_t_3 = 'K';
    __pyx_t_4 = __pyx_v_p;
    __pyx_t_5 = (__pyx_v_r + 1);
    __pyx_v_t = __pyx_t_3;
    __pyx_v_tp = __pyx_t_4;
    __pyx_v_size = __pyx_t_5;

    /* "_ellip_harm.pxd":73
 *     gamma = alpha - beta
 * 
 *     if p - 1 < r + 1:             # <<<<<<<<<<<<<<
 *         t, tp, size = 'K', p, r + 1
 *     elif p - 1 < (n - r) + (r + 1):
 */
    goto __pyx_L10;
  }

  /* "_ellip_harm.pxd":75
 *     if p - 1 < r + 1:
 *         t, tp, size = 'K', p, r + 1
 *     elif p - 1 < (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         t, tp, size = 'L', p - (r + 1), n - r
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 */
  __pyx_t_1 = (((__pyx_v_p - 1) < ((__pyx_v_n - __pyx_v_r) + (__pyx_v_r + 1))) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":76
 *         t, tp, size = 'K', p, r + 1
 *     elif p - 1 < (n - r) + (r + 1):
 *         t, tp, size = 'L', p - (r + 1), n - r             # <<<<<<<<<<<<<<
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 *         t, tp, size = 'M', p - (n - r) - (r + 1), n - r
 */
    __pyx_t_3 = 'L';
    __pyx_t_5 = (__pyx_v_p - (__pyx_v_r + 1));
    __pyx_t_4 = (__pyx_v_n - __pyx_v_r);
    __pyx_v_t = __pyx_t_3;
    __pyx_v_tp = __pyx_t_5;
    __pyx_v_size = __pyx_t_4;

    /* "_ellip_harm.pxd":75
 *     if p - 1 < r + 1:
 *         t, tp, size = 'K', p, r + 1
 *     elif p - 1 < (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         t, tp, size = 'L', p - (r + 1), n - r
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 */
    goto __pyx_L10;
  }

  /* "_ellip_harm.pxd":77
 *     elif p - 1 < (n - r) + (r + 1):
 *         t, tp, size = 'L', p - (r + 1), n - r
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         t, tp, size = 'M', p - (n - r) - (r + 1), n - r
 *     elif p - 1 < 2*n + 1:
 */
  __pyx_t_1 = (((__pyx_v_p - 1) < (((__pyx_v_n - __pyx_v_r) + (__pyx_v_n - __pyx_v_r)) + (__pyx_v_r + 1))) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":78
 *         t, tp, size = 'L', p - (r + 1), n - r
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 *         t, tp, size = 'M', p - (n - r) - (r + 1), n - r             # <<<<<<<<<<<<<<
 *     elif p - 1 < 2*n + 1:
 *         t, tp, size = 'N', p - (n - r) - (n - r) - (r + 1), r
 */
    __pyx_t_3 = 'M';
    __pyx_t_5 = ((__pyx_v_p - (__pyx_v_n - __pyx_v_r)) - (__pyx_v_r + 1));
    __pyx_t_4 = (__pyx_v_n - __pyx_v_r);
    __pyx_v_t = __pyx_t_3;
    __pyx_v_tp = __pyx_t_5;
    __pyx_v_size = __pyx_t_4;

    /* "_ellip_harm.pxd":77
 *     elif p - 1 < (n - r) + (r + 1):
 *         t, tp, size = 'L', p - (r + 1), n - r
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         t, tp, size = 'M', p - (n - r) - (r + 1), n - r
 *     elif p - 1 < 2*n + 1:
 */
    goto __pyx_L10;
  }

  /* "_ellip_harm.pxd":79
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 *         t, tp, size = 'M', p - (n - r) - (r + 1), n - r
 *     elif p - 1 < 2*n + 1:             # <<<<<<<<<<<<<<
 *         t, tp, size = 'N', p - (n - r) - (n - r) - (r + 1), r
 * 
 */
  __pyx_t_1 = (((__pyx_v_p - 1) < ((2 * __pyx_v_n) + 1)) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":80
 *         t, tp, size = 'M', p - (n - r) - (r + 1), n - r
 *     elif p - 1 < 2*n + 1:
 *         t, tp, size = 'N', p - (n - r) - (n - r) - (r + 1), r             # <<<<<<<<<<<<<<
 * 
 *     lwork = 60*size
 */
    __pyx_t_3 = 'N';
    __pyx_t_5 = (((__pyx_v_p - (__pyx_v_n - __pyx_v_r)) - (__pyx_v_n - __pyx_v_r)) - (__pyx_v_r + 1));
    __pyx_t_4 = __pyx_v_r;
    __pyx_v_t = __pyx_t_3;
    __pyx_v_tp = __pyx_t_5;
    __pyx_v_size = __pyx_t_4;

    /* "_ellip_harm.pxd":79
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 *         t, tp, size = 'M', p - (n - r) - (r + 1), n - r
 *     elif p - 1 < 2*n + 1:             # <<<<<<<<<<<<<<
 *         t, tp, size = 'N', p - (n - r) - (n - r) - (r + 1), r
 * 
 */
  }
  __pyx_L10:;

  /* "_ellip_harm.pxd":82
 *         t, tp, size = 'N', p - (n - r) - (n - r) - (r + 1), r
 * 
 *     lwork = 60*size             # <<<<<<<<<<<<<<
 *     liwork = 30*size
 *     tol = 0.0
 */
  __pyx_v_lwork = (60 * __pyx_v_size);

  /* "_ellip_harm.pxd":83
 * 
 *     lwork = 60*size
 *     liwork = 30*size             # <<<<<<<<<<<<<<
 *     tol = 0.0
 *     vl = 0
 */
  __pyx_v_liwork = (30 * __pyx_v_size);

  /* "_ellip_harm.pxd":84
 *     lwork = 60*size
 *     liwork = 30*size
 *     tol = 0.0             # <<<<<<<<<<<<<<
 *     vl = 0
 *     vu = 0
 */
  __pyx_v_tol = 0.0;

  /* "_ellip_harm.pxd":85
 *     liwork = 30*size
 *     tol = 0.0
 *     vl = 0             # <<<<<<<<<<<<<<
 *     vu = 0
 * 
 */
  __pyx_v_vl = 0.0;

  /* "_ellip_harm.pxd":86
 *     tol = 0.0
 *     vl = 0
 *     vu = 0             # <<<<<<<<<<<<<<
 * 
 *     cdef void *buffer = malloc((sizeof(double)*(7*size + lwork))
 */
  __pyx_v_vu = 0.0;

  /* "_ellip_harm.pxd":88
 *     vu = 0
 * 
 *     cdef void *buffer = malloc((sizeof(double)*(7*size + lwork))             # <<<<<<<<<<<<<<
 *                                + (sizeof(int)*(2*size + liwork)))
 *     bufferp[0] = buffer
 */
  __pyx_v_buffer = malloc((((sizeof(double)) * ((7 * __pyx_v_size) + __pyx_v_lwork)) + ((sizeof(int)) * ((2 * __pyx_v_size) + __pyx_v_liwork))));

  /* "_ellip_harm.pxd":90
 *     cdef void *buffer = malloc((sizeof(double)*(7*size + lwork))
 *                                + (sizeof(int)*(2*size + liwork)))
 *     bufferp[0] = buffer             # <<<<<<<<<<<<<<
 *     if not buffer:
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")
 */
  (__pyx_v_bufferp[0]) = __pyx_v_buffer;

  /* "_ellip_harm.pxd":91
 *                                + (sizeof(int)*(2*size + liwork)))
 *     bufferp[0] = buffer
 *     if not buffer:             # <<<<<<<<<<<<<<
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")
 *         return NULL
 */
  __pyx_t_1 = ((!(__pyx_v_buffer != 0)) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":92
 *     bufferp[0] = buffer
 *     if not buffer:
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")             # <<<<<<<<<<<<<<
 *         return NULL
 * 
 */
    sf_error(__pyx_k_ellip_harm, SF_ERROR_NO_RESULT, __pyx_k_failed_to_allocate_memory);

    /* "_ellip_harm.pxd":93
 *     if not buffer:
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")
 *         return NULL             # <<<<<<<<<<<<<<
 * 
 *     cdef double *g = <double *>buffer
 */
    __pyx_r = NULL;
    goto __pyx_L0;

    /* "_ellip_harm.pxd":91
 *                                + (sizeof(int)*(2*size + liwork)))
 *     bufferp[0] = buffer
 *     if not buffer:             # <<<<<<<<<<<<<<
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")
 *         return NULL
 */
  }

  /* "_ellip_harm.pxd":95
 *         return NULL
 * 
 *     cdef double *g = <double *>buffer             # <<<<<<<<<<<<<<
 *     cdef double *d = g + size
 *     cdef double *f = d + size
 */
  __pyx_v_g = ((double *)__pyx_v_buffer);

  /* "_ellip_harm.pxd":96
 * 
 *     cdef double *g = <double *>buffer
 *     cdef double *d = g + size             # <<<<<<<<<<<<<<
 *     cdef double *f = d + size
 *     cdef double *ss =  f + size
 */
  __pyx_v_d = (__pyx_v_g + __pyx_v_size);

  /* "_ellip_harm.pxd":97
 *     cdef double *g = <double *>buffer
 *     cdef double *d = g + size
 *     cdef double *f = d + size             # <<<<<<<<<<<<<<
 *     cdef double *ss =  f + size
 *     cdef double *w =  ss + size
 */
  __pyx_v_f = (__pyx_v_d + __pyx_v_size);

  /* "_ellip_harm.pxd":98
 *     cdef double *d = g + size
 *     cdef double *f = d + size
 *     cdef double *ss =  f + size             # <<<<<<<<<<<<<<
 *     cdef double *w =  ss + size
 *     cdef double *dd = w + size
 */
  __pyx_v_ss = (__pyx_v_f + __pyx_v_size);

  /* "_ellip_harm.pxd":99
 *     cdef double *f = d + size
 *     cdef double *ss =  f + size
 *     cdef double *w =  ss + size             # <<<<<<<<<<<<<<
 *     cdef double *dd = w + size
 *     cdef double *eigv = dd + size
 */
  __pyx_v_w = (__pyx_v_ss + __pyx_v_size);

  /* "_ellip_harm.pxd":100
 *     cdef double *ss =  f + size
 *     cdef double *w =  ss + size
 *     cdef double *dd = w + size             # <<<<<<<<<<<<<<
 *     cdef double *eigv = dd + size
 *     cdef double *work = eigv + size
 */
  __pyx_v_dd = (__pyx_v_w + __pyx_v_size);

  /* "_ellip_harm.pxd":101
 *     cdef double *w =  ss + size
 *     cdef double *dd = w + size
 *     cdef double *eigv = dd + size             # <<<<<<<<<<<<<<
 *     cdef double *work = eigv + size
 * 
 */
  __pyx_v_eigv = (__pyx_v_dd + __pyx_v_size);

  /* "_ellip_harm.pxd":102
 *     cdef double *dd = w + size
 *     cdef double *eigv = dd + size
 *     cdef double *work = eigv + size             # <<<<<<<<<<<<<<
 * 
 *     cdef int *iwork = <int *>(work + lwork)
 */
  __pyx_v_work = (__pyx_v_eigv + __pyx_v_size);

  /* "_ellip_harm.pxd":104
 *     cdef double *work = eigv + size
 * 
 *     cdef int *iwork = <int *>(work + lwork)             # <<<<<<<<<<<<<<
 *     cdef int *isuppz = iwork + liwork
 * 
 */
  __pyx_v_iwork = ((int *)(__pyx_v_work + __pyx_v_lwork));

  /* "_ellip_harm.pxd":105
 * 
 *     cdef int *iwork = <int *>(work + lwork)
 *     cdef int *isuppz = iwork + liwork             # <<<<<<<<<<<<<<
 * 
 *     if t == 'K':
 */
  __pyx_v_isuppz = (__pyx_v_iwork + __pyx_v_liwork);

  /* "_ellip_harm.pxd":107
 *     cdef int *isuppz = iwork + liwork
 * 
 *     if t == 'K':             # <<<<<<<<<<<<<<
 *         for j in range(0, r + 1):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 */
  switch (__pyx_v_t) {
    case 'K':

    /* "_ellip_harm.pxd":108
 * 
 *     if t == 'K':
 *         for j in range(0, r + 1):             # <<<<<<<<<<<<<<
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:
 */
    __pyx_t_5 = (__pyx_v_r + 1);
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_5; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "_ellip_harm.pxd":109
 *     if t == 'K':
 *         for j in range(0, r + 1):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)             # <<<<<<<<<<<<<<
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 */
      (__pyx_v_g[__pyx_v_j]) = (((-((2 * __pyx_v_j) + 2)) * ((2 * __pyx_v_j) + 1)) * __pyx_v_beta);

      /* "_ellip_harm.pxd":110
 *         for j in range(0, r + 1):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = ((2*r + 1)*(2*r + 2) - 4*j*j)*alpha + (2*j + 1)*(2*j + 1)*beta
 */
      __pyx_t_1 = ((__pyx_v_n % 2) != 0);
      if (__pyx_t_1) {

        /* "_ellip_harm.pxd":111
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))             # <<<<<<<<<<<<<<
 *                d[j] = ((2*r + 1)*(2*r + 2) - 4*j*j)*alpha + (2*j + 1)*(2*j + 1)*beta
 *            else:
 */
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * ((2 * (__pyx_v_r - (__pyx_v_j + 1))) + 2)) * ((2 * ((__pyx_v_j + 1) + __pyx_v_r)) + 1));

        /* "_ellip_harm.pxd":112
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = ((2*r + 1)*(2*r + 2) - 4*j*j)*alpha + (2*j + 1)*(2*j + 1)*beta             # <<<<<<<<<<<<<<
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*(r + (j + 1)) - 1))
 */
        (__pyx_v_d[__pyx_v_j]) = ((((((2 * __pyx_v_r) + 1) * ((2 * __pyx_v_r) + 2)) - ((4 * __pyx_v_j) * __pyx_v_j)) * __pyx_v_alpha) + ((((2 * __pyx_v_j) + 1) * ((2 * __pyx_v_j) + 1)) * __pyx_v_beta));

        /* "_ellip_harm.pxd":110
 *         for j in range(0, r + 1):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = ((2*r + 1)*(2*r + 2) - 4*j*j)*alpha + (2*j + 1)*(2*j + 1)*beta
 */
        goto __pyx_L14;
      }

      /* "_ellip_harm.pxd":114
 *                d[j] = ((2*r + 1)*(2*r + 2) - 4*j*j)*alpha + (2*j + 1)*(2*j + 1)*beta
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*(r + (j + 1)) - 1))             # <<<<<<<<<<<<<<
 *                d[j] = 2*r*(2*r + 1)*alpha - 4*j*j*gamma
 * 
 */
      /*else*/ {
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * ((2 * (__pyx_v_r - (__pyx_v_j + 1))) + 2)) * ((2 * (__pyx_v_r + (__pyx_v_j + 1))) - 1));

        /* "_ellip_harm.pxd":115
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*(r + (j + 1)) - 1))
 *                d[j] = 2*r*(2*r + 1)*alpha - 4*j*j*gamma             # <<<<<<<<<<<<<<
 * 
 *     elif t == 'L':
 */
        (__pyx_v_d[__pyx_v_j]) = ((((2 * __pyx_v_r) * ((2 * __pyx_v_r) + 1)) * __pyx_v_alpha) - (((4 * __pyx_v_j) * __pyx_v_j) * __pyx_v_gamma));
      }
      __pyx_L14:;
    }

    /* "_ellip_harm.pxd":107
 *     cdef int *isuppz = iwork + liwork
 * 
 *     if t == 'K':             # <<<<<<<<<<<<<<
 *         for j in range(0, r + 1):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 */
    break;

    /* "_ellip_harm.pxd":117
 *                d[j] = 2*r*(2*r + 1)*alpha - 4*j*j*gamma
 * 
 *     elif t == 'L':             # <<<<<<<<<<<<<<
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 */
    case 'L':

    /* "_ellip_harm.pxd":118
 * 
 *     elif t == 'L':
 *         for j in range(0, n - r):             # <<<<<<<<<<<<<<
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:
 */
    __pyx_t_4 = (__pyx_v_n - __pyx_v_r);
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_4; __pyx_t_6+=1) {
      __pyx_v_j = __pyx_t_6;

      /* "_ellip_harm.pxd":119
 *     elif t == 'L':
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)             # <<<<<<<<<<<<<<
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 */
      (__pyx_v_g[__pyx_v_j]) = (((-((2 * __pyx_v_j) + 2)) * ((2 * __pyx_v_j) + 3)) * __pyx_v_beta);

      /* "_ellip_harm.pxd":120
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 1)*(2*j + 1)*gamma
 */
      __pyx_t_1 = ((__pyx_v_n % 2) != 0);
      if (__pyx_t_1) {

        /* "_ellip_harm.pxd":121
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))             # <<<<<<<<<<<<<<
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 1)*(2*j + 1)*gamma
 *            else:
 */
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * ((2 * (__pyx_v_r - (__pyx_v_j + 1))) + 2)) * ((2 * ((__pyx_v_j + 1) + __pyx_v_r)) + 1));

        /* "_ellip_harm.pxd":122
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 1)*(2*j + 1)*gamma             # <<<<<<<<<<<<<<
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))
 */
        (__pyx_v_d[__pyx_v_j]) = (((((2 * __pyx_v_r) + 1) * ((2 * __pyx_v_r) + 2)) * __pyx_v_alpha) - ((((2 * __pyx_v_j) + 1) * ((2 * __pyx_v_j) + 1)) * __pyx_v_gamma));

        /* "_ellip_harm.pxd":120
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r- (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 1)*(2*j + 1)*gamma
 */
        goto __pyx_L17;
      }

      /* "_ellip_harm.pxd":124
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 1)*(2*j + 1)*gamma
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))             # <<<<<<<<<<<<<<
 *                d[j] = (2*r*(2*r + 1) - (2*j + 1)*(2*j + 1))*alpha + (2*j + 2)*(2*j + 2)*beta
 * 
 */
      /*else*/ {
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * (2 * (__pyx_v_r - (__pyx_v_j + 1)))) * ((2 * (__pyx_v_r + (__pyx_v_j + 1))) + 1));

        /* "_ellip_harm.pxd":125
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))
 *                d[j] = (2*r*(2*r + 1) - (2*j + 1)*(2*j + 1))*alpha + (2*j + 2)*(2*j + 2)*beta             # <<<<<<<<<<<<<<
 * 
 *     elif t == 'M':
 */
        (__pyx_v_d[__pyx_v_j]) = (((((2 * __pyx_v_r) * ((2 * __pyx_v_r) + 1)) - (((2 * __pyx_v_j) + 1) * ((2 * __pyx_v_j) + 1))) * __pyx_v_alpha) + ((((2 * __pyx_v_j) + 2) * ((2 * __pyx_v_j) + 2)) * __pyx_v_beta));
      }
      __pyx_L17:;
    }

    /* "_ellip_harm.pxd":117
 *                d[j] = 2*r*(2*r + 1)*alpha - 4*j*j*gamma
 * 
 *     elif t == 'L':             # <<<<<<<<<<<<<<
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 */
    break;

    /* "_ellip_harm.pxd":127
 *                d[j] = (2*r*(2*r + 1) - (2*j + 1)*(2*j + 1))*alpha + (2*j + 2)*(2*j + 2)*beta
 * 
 *     elif t == 'M':             # <<<<<<<<<<<<<<
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 */
    case 'M':

    /* "_ellip_harm.pxd":128
 * 
 *     elif t == 'M':
 *         for j in range(0, n - r):             # <<<<<<<<<<<<<<
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:
 */
    __pyx_t_4 = (__pyx_v_n - __pyx_v_r);
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_4; __pyx_t_6+=1) {
      __pyx_v_j = __pyx_t_6;

      /* "_ellip_harm.pxd":129
 *     elif t == 'M':
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)             # <<<<<<<<<<<<<<
 *            if n%2:
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 */
      (__pyx_v_g[__pyx_v_j]) = (((-((2 * __pyx_v_j) + 2)) * ((2 * __pyx_v_j) + 1)) * __pyx_v_beta);

      /* "_ellip_harm.pxd":130
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = ((2*r + 1)*(2*r + 2) - (2*j + 1)*(2*j + 1))*alpha + 4*j*j*beta
 */
      __pyx_t_1 = ((__pyx_v_n % 2) != 0);
      if (__pyx_t_1) {

        /* "_ellip_harm.pxd":131
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*((j + 1) + r) + 1))             # <<<<<<<<<<<<<<
 *                d[j] = ((2*r + 1)*(2*r + 2) - (2*j + 1)*(2*j + 1))*alpha + 4*j*j*beta
 *            else:
 */
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * ((2 * (__pyx_v_r - (__pyx_v_j + 1))) + 2)) * ((2 * ((__pyx_v_j + 1) + __pyx_v_r)) + 1));

        /* "_ellip_harm.pxd":132
 *            if n%2:
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = ((2*r + 1)*(2*r + 2) - (2*j + 1)*(2*j + 1))*alpha + 4*j*j*beta             # <<<<<<<<<<<<<<
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))
 */
        (__pyx_v_d[__pyx_v_j]) = ((((((2 * __pyx_v_r) + 1) * ((2 * __pyx_v_r) + 2)) - (((2 * __pyx_v_j) + 1) * ((2 * __pyx_v_j) + 1))) * __pyx_v_alpha) + (((4 * __pyx_v_j) * __pyx_v_j) * __pyx_v_beta));

        /* "_ellip_harm.pxd":130
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r - (j + 1)) + 2)*(2*((j + 1) + r) + 1))
 *                d[j] = ((2*r + 1)*(2*r + 2) - (2*j + 1)*(2*j + 1))*alpha + 4*j*j*beta
 */
        goto __pyx_L20;
      }

      /* "_ellip_harm.pxd":134
 *                d[j] = ((2*r + 1)*(2*r + 2) - (2*j + 1)*(2*j + 1))*alpha + 4*j*j*beta
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))             # <<<<<<<<<<<<<<
 *                d[j] = 2*r*(2*r + 1)*alpha - (2*j + 1)*(2*j + 1)*gamma
 * 
 */
      /*else*/ {
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * (2 * (__pyx_v_r - (__pyx_v_j + 1)))) * ((2 * (__pyx_v_r + (__pyx_v_j + 1))) + 1));

        /* "_ellip_harm.pxd":135
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))
 *                d[j] = 2*r*(2*r + 1)*alpha - (2*j + 1)*(2*j + 1)*gamma             # <<<<<<<<<<<<<<
 * 
 *     elif t == 'N':
 */
        (__pyx_v_d[__pyx_v_j]) = ((((2 * __pyx_v_r) * ((2 * __pyx_v_r) + 1)) * __pyx_v_alpha) - ((((2 * __pyx_v_j) + 1) * ((2 * __pyx_v_j) + 1)) * __pyx_v_gamma));
      }
      __pyx_L20:;
    }

    /* "_ellip_harm.pxd":127
 *                d[j] = (2*r*(2*r + 1) - (2*j + 1)*(2*j + 1))*alpha + (2*j + 2)*(2*j + 2)*beta
 * 
 *     elif t == 'M':             # <<<<<<<<<<<<<<
 *         for j in range(0, n - r):
 *            g[j] = (-(2*j + 2)*(2*j + 1)*beta)
 */
    break;

    /* "_ellip_harm.pxd":137
 *                d[j] = 2*r*(2*r + 1)*alpha - (2*j + 1)*(2*j + 1)*gamma
 * 
 *     elif t == 'N':             # <<<<<<<<<<<<<<
 *         for j in range(0, r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 */
    case 'N':

    /* "_ellip_harm.pxd":138
 * 
 *     elif t == 'N':
 *         for j in range(0, r):             # <<<<<<<<<<<<<<
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:
 */
    __pyx_t_4 = __pyx_v_r;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_4; __pyx_t_6+=1) {
      __pyx_v_j = __pyx_t_6;

      /* "_ellip_harm.pxd":139
 *     elif t == 'N':
 *         for j in range(0, r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)             # <<<<<<<<<<<<<<
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)))*(2*((j + 1) + r) + 3))
 */
      (__pyx_v_g[__pyx_v_j]) = (((-((2 * __pyx_v_j) + 2)) * ((2 * __pyx_v_j) + 3)) * __pyx_v_beta);

      /* "_ellip_harm.pxd":140
 *         for j in range(0, r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r- (j + 1)))*(2*((j + 1) + r) + 3))
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 2)*(2*j + 2)*gamma
 */
      __pyx_t_1 = ((__pyx_v_n % 2) != 0);
      if (__pyx_t_1) {

        /* "_ellip_harm.pxd":141
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)))*(2*((j + 1) + r) + 3))             # <<<<<<<<<<<<<<
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 2)*(2*j + 2)*gamma
 *            else:
 */
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * (2 * (__pyx_v_r - (__pyx_v_j + 1)))) * ((2 * ((__pyx_v_j + 1) + __pyx_v_r)) + 3));

        /* "_ellip_harm.pxd":142
 *            if n%2:
 *                f[j] = (-alpha*(2*(r- (j + 1)))*(2*((j + 1) + r) + 3))
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 2)*(2*j + 2)*gamma             # <<<<<<<<<<<<<<
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))
 */
        (__pyx_v_d[__pyx_v_j]) = (((((2 * __pyx_v_r) + 1) * ((2 * __pyx_v_r) + 2)) * __pyx_v_alpha) - ((((2 * __pyx_v_j) + 2) * ((2 * __pyx_v_j) + 2)) * __pyx_v_gamma));

        /* "_ellip_harm.pxd":140
 *         for j in range(0, r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 *            if n%2:             # <<<<<<<<<<<<<<
 *                f[j] = (-alpha*(2*(r- (j + 1)))*(2*((j + 1) + r) + 3))
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 2)*(2*j + 2)*gamma
 */
        goto __pyx_L23;
      }

      /* "_ellip_harm.pxd":144
 *                d[j] = (2*r + 1)*(2*r + 2)*alpha - (2*j + 2)*(2*j + 2)*gamma
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))             # <<<<<<<<<<<<<<
 *                d[j] = 2*r*(2*r + 1)*alpha - (2*j + 2)*(2*j +2)*alpha + (2*j + 1)*(2*j + 1)*beta
 * 
 */
      /*else*/ {
        (__pyx_v_f[__pyx_v_j]) = (((-__pyx_v_alpha) * (2 * (__pyx_v_r - (__pyx_v_j + 1)))) * ((2 * (__pyx_v_r + (__pyx_v_j + 1))) + 1));

        /* "_ellip_harm.pxd":145
 *            else:
 *                f[j] = (-alpha*(2*(r - (j + 1)))*(2*(r+(j + 1)) + 1))
 *                d[j] = 2*r*(2*r + 1)*alpha - (2*j + 2)*(2*j +2)*alpha + (2*j + 1)*(2*j + 1)*beta             # <<<<<<<<<<<<<<
 * 
 *     for i in range(0, size):
 */
        (__pyx_v_d[__pyx_v_j]) = (((((2 * __pyx_v_r) * ((2 * __pyx_v_r) + 1)) * __pyx_v_alpha) - ((((2 * __pyx_v_j) + 2) * ((2 * __pyx_v_j) + 2)) * __pyx_v_alpha)) + ((((2 * __pyx_v_j) + 1) * ((2 * __pyx_v_j) + 1)) * __pyx_v_beta));
      }
      __pyx_L23:;
    }

    /* "_ellip_harm.pxd":137
 *                d[j] = 2*r*(2*r + 1)*alpha - (2*j + 1)*(2*j + 1)*gamma
 * 
 *     elif t == 'N':             # <<<<<<<<<<<<<<
 *         for j in range(0, r):
 *            g[j] = (-(2*j + 2)*(2*j + 3)*beta)
 */
    break;
    default: break;
  }

  /* "_ellip_harm.pxd":147
 *                d[j] = 2*r*(2*r + 1)*alpha - (2*j + 2)*(2*j +2)*alpha + (2*j + 1)*(2*j + 1)*beta
 * 
 *     for i in range(0, size):             # <<<<<<<<<<<<<<
 *         if i == 0:
 *            ss[i] = 1
 */
  __pyx_t_4 = __pyx_v_size;
  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_4; __pyx_t_6+=1) {
    __pyx_v_i = __pyx_t_6;

    /* "_ellip_harm.pxd":148
 * 
 *     for i in range(0, size):
 *         if i == 0:             # <<<<<<<<<<<<<<
 *            ss[i] = 1
 *         else:
 */
    __pyx_t_1 = ((__pyx_v_i == 0) != 0);
    if (__pyx_t_1) {

      /* "_ellip_harm.pxd":149
 *     for i in range(0, size):
 *         if i == 0:
 *            ss[i] = 1             # <<<<<<<<<<<<<<
 *         else:
 *            ss[i] = sqrt(g[i - 1]/f[i - 1])*ss[i - 1]
 */
      (__pyx_v_ss[__pyx_v_i]) = 1.0;

      /* "_ellip_harm.pxd":148
 * 
 *     for i in range(0, size):
 *         if i == 0:             # <<<<<<<<<<<<<<
 *            ss[i] = 1
 *         else:
 */
      goto __pyx_L26;
    }

    /* "_ellip_harm.pxd":151
 *            ss[i] = 1
 *         else:
 *            ss[i] = sqrt(g[i - 1]/f[i - 1])*ss[i - 1]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(0, size-1):
 */
    /*else*/ {
      (__pyx_v_ss[__pyx_v_i]) = (sqrt(((__pyx_v_g[(__pyx_v_i - 1)]) / (__pyx_v_f[(__pyx_v_i - 1)]))) * (__pyx_v_ss[(__pyx_v_i - 1)]));
    }
    __pyx_L26:;
  }

  /* "_ellip_harm.pxd":153
 *            ss[i] = sqrt(g[i - 1]/f[i - 1])*ss[i - 1]
 * 
 *     for i in range(0, size-1):             # <<<<<<<<<<<<<<
 *         dd[i] = g[i]*ss[i]/ss[i+1]
 * 
 */
  __pyx_t_5 = (__pyx_v_size - 1);
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_5; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "_ellip_harm.pxd":154
 * 
 *     for i in range(0, size-1):
 *         dd[i] = g[i]*ss[i]/ss[i+1]             # <<<<<<<<<<<<<<
 * 
 *     c_dstevr("V", "I", &size, d, dd, &vl, &vu, &tp, &tp, &tol, &c, w, eigv,
 */
    (__pyx_v_dd[__pyx_v_i]) = (((__pyx_v_g[__pyx_v_i]) * (__pyx_v_ss[__pyx_v_i])) / (__pyx_v_ss[(__pyx_v_i + 1)]));
  }

  /* "_ellip_harm.pxd":156
 *         dd[i] = g[i]*ss[i]/ss[i+1]
 * 
 *     c_dstevr("V", "I", &size, d, dd, &vl, &vu, &tp, &tp, &tol, &c, w, eigv,             # <<<<<<<<<<<<<<
 *              &size, isuppz, work, &lwork, iwork, &liwork, &info)
 * 
 */
  c_dstevr(__pyx_k_V, __pyx_k_I, (&__pyx_v_size), __pyx_v_d, __pyx_v_dd, (&__pyx_v_vl), (&__pyx_v_vu), (&__pyx_v_tp), (&__pyx_v_tp), (&__pyx_v_tol), (&__pyx_v_c), __pyx_v_w, __pyx_v_eigv, (&__pyx_v_size), __pyx_v_isuppz, __pyx_v_work, (&__pyx_v_lwork), __pyx_v_iwork, (&__pyx_v_liwork), (&__pyx_v_info));

  /* "_ellip_harm.pxd":159
 *              &size, isuppz, work, &lwork, iwork, &liwork, &info)
 * 
 *     if info != 0:             # <<<<<<<<<<<<<<
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")
 *         return NULL
 */
  __pyx_t_1 = ((__pyx_v_info != 0) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":160
 * 
 *     if info != 0:
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")             # <<<<<<<<<<<<<<
 *         return NULL
 * 
 */
    sf_error(__pyx_k_ellip_harm, SF_ERROR_NO_RESULT, __pyx_k_failed_to_allocate_memory);

    /* "_ellip_harm.pxd":161
 *     if info != 0:
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")
 *         return NULL             # <<<<<<<<<<<<<<
 * 
 *     for i in range(0, size):
 */
    __pyx_r = NULL;
    goto __pyx_L0;

    /* "_ellip_harm.pxd":159
 *              &size, isuppz, work, &lwork, iwork, &liwork, &info)
 * 
 *     if info != 0:             # <<<<<<<<<<<<<<
 *         sf_error.error("ellip_harm", sf_error.NO_RESULT, "failed to allocate memory")
 *         return NULL
 */
  }

  /* "_ellip_harm.pxd":163
 *         return NULL
 * 
 *     for i in range(0, size):             # <<<<<<<<<<<<<<
 *         eigv[i] /= ss[i]
 * 
 */
  __pyx_t_4 = __pyx_v_size;
  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_4; __pyx_t_6+=1) {
    __pyx_v_i = __pyx_t_6;

    /* "_ellip_harm.pxd":164
 * 
 *     for i in range(0, size):
 *         eigv[i] /= ss[i]             # <<<<<<<<<<<<<<
 * 
 *     for i in range(0, size):
 */
    __pyx_t_7 = __pyx_v_i;
    (__pyx_v_eigv[__pyx_t_7]) = ((__pyx_v_eigv[__pyx_t_7]) / (__pyx_v_ss[__pyx_v_i]));
  }

  /* "_ellip_harm.pxd":166
 *         eigv[i] /= ss[i]
 * 
 *     for i in range(0, size):             # <<<<<<<<<<<<<<
 *         eigv[i] = eigv[i]/(eigv[size - 1]/pow(-h2, size - 1))
 *     return eigv
 */
  __pyx_t_4 = __pyx_v_size;
  for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_4; __pyx_t_6+=1) {
    __pyx_v_i = __pyx_t_6;

    /* "_ellip_harm.pxd":167
 * 
 *     for i in range(0, size):
 *         eigv[i] = eigv[i]/(eigv[size - 1]/pow(-h2, size - 1))             # <<<<<<<<<<<<<<
 *     return eigv
 * 
 */
    (__pyx_v_eigv[__pyx_v_i]) = ((__pyx_v_eigv[__pyx_v_i]) / ((__pyx_v_eigv[(__pyx_v_size - 1)]) / pow((-__pyx_v_h2), (__pyx_v_size - 1))));
  }

  /* "_ellip_harm.pxd":168
 *     for i in range(0, size):
 *         eigv[i] = eigv[i]/(eigv[size - 1]/pow(-h2, size - 1))
 *     return eigv             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = __pyx_v_eigv;
  goto __pyx_L0;

  /* "_ellip_harm.pxd":49
 * @cython.boundscheck(False)
 * @cython.cdivision(True)
 * cdef inline double* lame_coefficients(double h2, double k2, int n, int p,             # <<<<<<<<<<<<<<
 *                                       void **bufferp, double signm,
 *                                       double signn) nogil:
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "_ellip_harm.pxd":174
 * @cython.boundscheck(False)
 * @cython.cdivision(True)
 * cdef inline double ellip_harm_eval(double h2, double k2, int n, int p,             # <<<<<<<<<<<<<<
 *                                    double s, double *eigv, double signm,
 *                                    double signn) nogil:
 */

static CYTHON_INLINE double __pyx_f_5scipy_7special_11_ellip_harm_ellip_harm_eval(double __pyx_v_h2, double __pyx_v_k2, int __pyx_v_n, int __pyx_v_p, double __pyx_v_s, double *__pyx_v_eigv, double __pyx_v_signm, double __pyx_v_signn) {
  int __pyx_v_size;
  int __pyx_v_r;
  int __pyx_v_j;
  double __pyx_v_s2;
  double __pyx_v_pp;
  double __pyx_v_lambda_romain;
  double __pyx_v_psi;
  double __pyx_r;
  int __pyx_t_1;
  long __pyx_t_2;
  double __pyx_t_3;
  int __pyx_t_4;

  /* "_ellip_harm.pxd":179
 *     cdef int size, tp, r, j
 *     cdef double s2, pp, lambda_romain, psi
 *     s2 = s*s             # <<<<<<<<<<<<<<
 *     r = n/2
 *     if p - 1 < r + 1:
 */
  __pyx_v_s2 = (__pyx_v_s * __pyx_v_s);

  /* "_ellip_harm.pxd":180
 *     cdef double s2, pp, lambda_romain, psi
 *     s2 = s*s
 *     r = n/2             # <<<<<<<<<<<<<<
 *     if p - 1 < r + 1:
 *         size, psi = r + 1, pow(s, n - 2*r)
 */
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  /* "_ellip_harm.pxd":181
 *     s2 = s*s
 *     r = n/2
 *     if p - 1 < r + 1:             # <<<<<<<<<<<<<<
 *         size, psi = r + 1, pow(s, n - 2*r)
 *     elif p - 1 < (n - r) + (r + 1):
 */
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  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":182
 *     r = n/2
 *     if p - 1 < r + 1:
 *         size, psi = r + 1, pow(s, n - 2*r)             # <<<<<<<<<<<<<<
 *     elif p - 1 < (n - r) + (r + 1):
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signm*sqrt(fabs(s2 - h2))
 */
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    __pyx_v_size = __pyx_t_2;
    __pyx_v_psi = __pyx_t_3;

    /* "_ellip_harm.pxd":181
 *     s2 = s*s
 *     r = n/2
 *     if p - 1 < r + 1:             # <<<<<<<<<<<<<<
 *         size, psi = r + 1, pow(s, n - 2*r)
 *     elif p - 1 < (n - r) + (r + 1):
 */
    goto __pyx_L3;
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  /* "_ellip_harm.pxd":183
 *     if p - 1 < r + 1:
 *         size, psi = r + 1, pow(s, n - 2*r)
 *     elif p - 1 < (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signm*sqrt(fabs(s2 - h2))
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 */
  __pyx_t_1 = (((__pyx_v_p - 1) < ((__pyx_v_n - __pyx_v_r) + (__pyx_v_r + 1))) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":184
 *         size, psi = r + 1, pow(s, n - 2*r)
 *     elif p - 1 < (n - r) + (r + 1):
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signm*sqrt(fabs(s2 - h2))             # <<<<<<<<<<<<<<
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signn*sqrt(fabs(s2 - k2))
 */
    __pyx_t_4 = (__pyx_v_n - __pyx_v_r);
    __pyx_t_3 = ((pow(__pyx_v_s, ((1 - __pyx_v_n) + (2 * __pyx_v_r))) * __pyx_v_signm) * sqrt(fabs((__pyx_v_s2 - __pyx_v_h2))));
    __pyx_v_size = __pyx_t_4;
    __pyx_v_psi = __pyx_t_3;

    /* "_ellip_harm.pxd":183
 *     if p - 1 < r + 1:
 *         size, psi = r + 1, pow(s, n - 2*r)
 *     elif p - 1 < (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signm*sqrt(fabs(s2 - h2))
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 */
    goto __pyx_L3;
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  /* "_ellip_harm.pxd":185
 *     elif p - 1 < (n - r) + (r + 1):
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signm*sqrt(fabs(s2 - h2))
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signn*sqrt(fabs(s2 - k2))
 *     elif p - 1 < 2*n + 1:
 */
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    /* "_ellip_harm.pxd":186
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signm*sqrt(fabs(s2 - h2))
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signn*sqrt(fabs(s2 - k2))             # <<<<<<<<<<<<<<
 *     elif p - 1 < 2*n + 1:
 *         size, psi = r, pow(s,  n - 2*r)*signm*signn*sqrt(fabs((s2 - h2)*(s2 - k2)))
 */
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    __pyx_t_3 = ((pow(__pyx_v_s, ((1 - __pyx_v_n) + (2 * __pyx_v_r))) * __pyx_v_signn) * sqrt(fabs((__pyx_v_s2 - __pyx_v_k2))));
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    /* "_ellip_harm.pxd":185
 *     elif p - 1 < (n - r) + (r + 1):
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signm*sqrt(fabs(s2 - h2))
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):             # <<<<<<<<<<<<<<
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signn*sqrt(fabs(s2 - k2))
 *     elif p - 1 < 2*n + 1:
 */
    goto __pyx_L3;
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  /* "_ellip_harm.pxd":187
 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signn*sqrt(fabs(s2 - k2))
 *     elif p - 1 < 2*n + 1:             # <<<<<<<<<<<<<<
 *         size, psi = r, pow(s,  n - 2*r)*signm*signn*sqrt(fabs((s2 - h2)*(s2 - k2)))
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 */
  __pyx_t_1 = (((__pyx_v_p - 1) < ((2 * __pyx_v_n) + 1)) != 0);
  if (__pyx_t_1) {

    /* "_ellip_harm.pxd":188
 *         size, psi = n - r, pow(s, 1 - n + 2*r)*signn*sqrt(fabs(s2 - k2))
 *     elif p - 1 < 2*n + 1:
 *         size, psi = r, pow(s,  n - 2*r)*signm*signn*sqrt(fabs((s2 - h2)*(s2 - k2)))             # <<<<<<<<<<<<<<
 *     lambda_romain = 1.0 - <double>s2/<double>h2
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 */
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    __pyx_t_3 = (((pow(__pyx_v_s, (__pyx_v_n - (2 * __pyx_v_r))) * __pyx_v_signm) * __pyx_v_signn) * sqrt(fabs(((__pyx_v_s2 - __pyx_v_h2) * (__pyx_v_s2 - __pyx_v_k2)))));
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 *     elif p - 1 < (n - r) + (n - r) + (r + 1):
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 *     elif p - 1 < 2*n + 1:             # <<<<<<<<<<<<<<
 *         size, psi = r, pow(s,  n - 2*r)*signm*signn*sqrt(fabs((s2 - h2)*(s2 - k2)))
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 *     elif p - 1 < 2*n + 1:
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 *     lambda_romain = 1.0 - <double>s2/<double>h2             # <<<<<<<<<<<<<<
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 * 
 */
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 *         size, psi = r, pow(s,  n - 2*r)*signm*signn*sqrt(fabs((s2 - h2)*(s2 - k2)))
 *     lambda_romain = 1.0 - <double>s2/<double>h2
 *     pp = eigv[size - 1]             # <<<<<<<<<<<<<<
 * 
 *     for j in range(size - 2, -1, -1):
 */
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 * 
 *     for j in range(size - 2, -1, -1):             # <<<<<<<<<<<<<<
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    /* "_ellip_harm.pxd":193
 * 
 *     for j in range(size - 2, -1, -1):
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 *     for j in range(size - 2, -1, -1):
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 */
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 *     return pp             # <<<<<<<<<<<<<<
 * 
 * 
 */
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 */

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/* "_ellip_harm.pxd":198
 * 
 * 
 * cdef inline double ellip_harmonic(double h2, double k2, int n, int p, double s,             # <<<<<<<<<<<<<<
 *                                   double signm, double signn) nogil:
 *     cdef double result
 */

static CYTHON_INLINE double __pyx_f_5scipy_7special_11_ellip_harm_ellip_harmonic(double __pyx_v_h2, double __pyx_v_k2, int __pyx_v_n, int __pyx_v_p, double __pyx_v_s, double __pyx_v_signm, double __pyx_v_signn) {
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  void *__pyx_v_bufferp;
  double __pyx_r;
  int __pyx_t_1;

  /* "_ellip_harm.pxd":203
 *     cdef double *eigv
 *     cdef void *bufferp
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  /* "_ellip_harm.pxd":204
 *     cdef void *bufferp
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 */
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    /* "_ellip_harm.pxd":205
 *     eigv = lame_coefficients(h2, k2, n, p, &bufferp, signm, signn)
 *     if not eigv:
 *         free(bufferp)             # <<<<<<<<<<<<<<
 *         return NAN
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 */
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 *     if not eigv:
 *         free(bufferp)
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 *     result = ellip_harm_eval(h2, k2, n, p, s, eigv, signm, signn)
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 */
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    /* "_ellip_harm.pxd":204
 *     cdef void *bufferp
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 *     if not eigv:             # <<<<<<<<<<<<<<
 *         free(bufferp)
 *         return NAN
 */
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  /* "_ellip_harm.pxd":207
 *         free(bufferp)
 *         return NAN
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 *     free(bufferp)
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 */
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 *         return NAN
 *     result = ellip_harm_eval(h2, k2, n, p, s, eigv, signm, signn)
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 */
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 *     return result             # <<<<<<<<<<<<<<
 */
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  /* "_ellip_harm.pxd":198
 * 
 * 
 * cdef inline double ellip_harmonic(double h2, double k2, int n, int p, double s,             # <<<<<<<<<<<<<<
 *                                   double signm, double signn) nogil:
 *     cdef double result
 */

  /* function exit code */
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 *                 raise ValueError(u"ndarray is not C contiguous")
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 *                 copy_shape = 0
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 *             if ((flags & pybuf.PyBUF_C_CONTIGUOUS == pybuf.PyBUF_C_CONTIGUOUS)             # <<<<<<<<<<<<<<
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    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

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

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

static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_COMPILING_IN_CPYTHON
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (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_COMPILING_IN_CPYTHON
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    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;
}

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

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

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

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                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

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

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

static 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;
}

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

static 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);
}

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

#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;\
    }

#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
#endif

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))
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } 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) 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))
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

static CYTHON_INLINE 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);
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE 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);
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

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

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

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

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

static CYTHON_INLINE 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);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        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);
    }
}

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))
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } 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) 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))
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

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

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

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

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

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if 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_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    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 */
