/* Generated by Cython 0.29.10 */

/* BEGIN: Cython Metadata
{
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}
END: Cython Metadata */

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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif

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

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

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

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

/* FunctionImport.proto */
static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);


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

/* Module declarations from 'scipy.special.cython_special' */
static double (*__pyx_f_5scipy_7special_14cython_special_agm)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_bdtrik)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_bdtrin)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_bei)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_beip)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ber)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_berp)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_besselpoly)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_beta)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_betainc)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_betaincinv)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_betaln)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_binom)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_boxcox)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_boxcox1p)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_btdtr)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_btdtri)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_btdtria)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_btdtrib)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_cbrt)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chdtr)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chdtrc)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chdtri)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chdtriv)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chndtr)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chndtridf)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chndtrinc)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_chndtrix)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_cosdg)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_cosm1)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_cotdg)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ellipe)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ellipeinc)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ellipkinc)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ellipkm1)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_entr)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_eval_hermite)(long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_eval_hermitenorm)(long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_exp10)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_exp2)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_exprel)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_fdtr)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_fdtrc)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_fdtri)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_fdtridfd)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gammainc)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gammaincc)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gammainccinv)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gammaincinv)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gammaln)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gammasgn)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gdtr)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gdtrc)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gdtria)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gdtrib)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_gdtrix)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_huber)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_hyperu)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_i0)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_i0e)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_i1)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_i1e)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_inv_boxcox)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_inv_boxcox1p)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_it2struve0)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_itmodstruve0)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_itstruve0)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_j0)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_j1)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_k0)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_k0e)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_k1)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_k1e)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_kei)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_keip)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ker)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_kerp)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_kl_div)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_kolmogi)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_kolmogorov)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_lpmv)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_mathieu_a)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_mathieu_b)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_modstruve)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nbdtrik)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nbdtrin)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ncfdtr)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ncfdtri)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ncfdtridfd)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ncfdtridfn)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ncfdtrinc)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nctdtr)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nctdtridf)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nctdtrinc)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nctdtrit)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_ndtri)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nrdtrimn)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_nrdtrisd)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_obl_cv)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_owens_t)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_pdtrik)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_poch)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_pro_cv)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_pseudo_huber)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_radian)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_rel_entr)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_round)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_sindg)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_stdtr)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_stdtridf)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_stdtrit)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_struve)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_tandg)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_tklmbda)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_y0)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_y1)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_f_5scipy_7special_14cython_special_zetac)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_bdtr)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_bdtr)(long, long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_bdtrc)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_bdtrc)(long, long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_bdtri)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_bdtri)(long, long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_dawsn)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_dawsn)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_erf)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_erf)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_erfc)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_erfc)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_erfcx)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_erfcx)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_erfi)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_erfi)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_chebyc)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_chebyc)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_chebyc)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_chebyc)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_chebys)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_chebys)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_chebys)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_chebys)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_chebyt)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_chebyt)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_chebyt)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_chebyt)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_chebyu)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_chebyu)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_chebyu)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_chebyu)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_gegenbauer)(double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_gegenbauer)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_gegenbauer)(long, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_gegenbauer)(long, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_genlaguerre)(double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_genlaguerre)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_genlaguerre)(long, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_genlaguerre)(long, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_jacobi)(double, double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_jacobi)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_jacobi)(long, double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_jacobi)(long, double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_laguerre)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_laguerre)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_laguerre)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_laguerre)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_legendre)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_legendre)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_legendre)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_legendre)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyt)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyt)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyt)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyt)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyu)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyu)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyu)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_sh_chebyu)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_sh_jacobi)(double, double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_sh_jacobi)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_sh_jacobi)(long, double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_sh_jacobi)(long, double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0_0__pyx_f_5scipy_7special_14cython_special_eval_sh_legendre)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0_1__pyx_f_5scipy_7special_14cython_special_eval_sh_legendre)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1_0__pyx_f_5scipy_7special_14cython_special_eval_sh_legendre)(long, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1_1__pyx_f_5scipy_7special_14cython_special_eval_sh_legendre)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_exp1)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_exp1)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_expi)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_expi)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_expit)(double, int __pyx_skip_dispatch); /*proto*/
static float (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_expit)(float, int __pyx_skip_dispatch); /*proto*/
static long double (*__pyx_fuse_2__pyx_f_5scipy_7special_14cython_special_expit)(long double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_expm1)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_expm1)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_expn)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_expn)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_gamma)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_gamma)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_hyp0f1)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_hyp0f1)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_hyp1f1)(double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_hyp1f1)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_hyp2f1)(double, double, double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_hyp2f1)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_iv)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_iv)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_ive)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_ive)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_jv)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_jv)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_jve)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_jve)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_kn)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_kn)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_kv)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_kv)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_kve)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_kve)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_log1p)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_log1p)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_log_ndtr)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_log_ndtr)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_loggamma)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_loggamma)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_logit)(double, int __pyx_skip_dispatch); /*proto*/
static float (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_logit)(float, int __pyx_skip_dispatch); /*proto*/
static long double (*__pyx_fuse_2__pyx_f_5scipy_7special_14cython_special_logit)(long double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_nbdtr)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_nbdtr)(long, long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_nbdtrc)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_nbdtrc)(long, long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_nbdtri)(double, double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_nbdtri)(long, long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_ndtr)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_ndtr)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_pdtr)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_pdtr)(long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_pdtrc)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_pdtrc)(long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_pdtri)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_pdtri)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_psi)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_psi)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_rgamma)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_rgamma)(double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_smirnov)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_smirnov)(long, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_smirnovi)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_smirnovi)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_spence)(__pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_spence)(double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_xlog1py)(__pyx_t_double_complex, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_xlog1py)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_xlogy)(__pyx_t_double_complex, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_xlogy)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_yn)(double, double, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_yn)(long, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_yv)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_yv)(double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_yve)(double, __pyx_t_double_complex, int __pyx_skip_dispatch); /*proto*/
static double (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_yve)(double, double, int __pyx_skip_dispatch); /*proto*/

/* Module declarations from 'numba_special.function_pointers' */
#define __Pyx_MODULE_NAME "numba_special.function_pointers"
extern int __pyx_module_is_main_numba_special__function_pointers;
int __pyx_module_is_main_numba_special__function_pointers = 0;

/* Implementation of 'numba_special.function_pointers' */
static const char __pyx_k_i0[] = "i0";
static const char __pyx_k_i1[] = "i1";
static const char __pyx_k_j0[] = "j0";
static const char __pyx_k_j1[] = "j1";
static const char __pyx_k_k0[] = "k0";
static const char __pyx_k_k1[] = "k1";
static const char __pyx_k_y0[] = "y0";
static const char __pyx_k_y1[] = "y1";
static const char __pyx_k_agm[] = "agm";
static const char __pyx_k_bei[] = "bei";
static const char __pyx_k_ber[] = "ber";
static const char __pyx_k_i0e[] = "i0e";
static const char __pyx_k_i1e[] = "i1e";
static const char __pyx_k_k0e[] = "k0e";
static const char __pyx_k_k1e[] = "k1e";
static const char __pyx_k_kei[] = "kei";
static const char __pyx_k_ker[] = "ker";
static const char __pyx_k_beip[] = "beip";
static const char __pyx_k_berp[] = "berp";
static const char __pyx_k_beta[] = "beta";
static const char __pyx_k_cbrt[] = "cbrt";
static const char __pyx_k_entr[] = "entr";
static const char __pyx_k_exp2[] = "exp2";
static const char __pyx_k_fdtr[] = "fdtr";
static const char __pyx_k_gdtr[] = "gdtr";
static const char __pyx_k_keip[] = "keip";
static const char __pyx_k_kerp[] = "kerp";
static const char __pyx_k_lpmv[] = "lpmv";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_poch[] = "poch";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_binom[] = "binom";
static const char __pyx_k_btdtr[] = "btdtr";
static const char __pyx_k_chdtr[] = "chdtr";
static const char __pyx_k_cosdg[] = "cosdg";
static const char __pyx_k_cosm1[] = "cosm1";
static const char __pyx_k_cotdg[] = "cotdg";
static const char __pyx_k_exp10[] = "exp10";
static const char __pyx_k_fdtrc[] = "fdtrc";
static const char __pyx_k_fdtri[] = "fdtri";
static const char __pyx_k_gdtrc[] = "gdtrc";
static const char __pyx_k_huber[] = "huber";
static const char __pyx_k_ndtri[] = "ndtri";
static const char __pyx_k_round[] = "round";
static const char __pyx_k_sindg[] = "sindg";
static const char __pyx_k_stdtr[] = "stdtr";
static const char __pyx_k_tandg[] = "tandg";
static const char __pyx_k_zetac[] = "zetac";
static const char __pyx_k_bdtrik[] = "bdtrik";
static const char __pyx_k_bdtrin[] = "bdtrin";
static const char __pyx_k_betaln[] = "betaln";
static const char __pyx_k_boxcox[] = "boxcox";
static const char __pyx_k_btdtri[] = "btdtri";
static const char __pyx_k_chdtrc[] = "chdtrc";
static const char __pyx_k_chdtri[] = "chdtri";
static const char __pyx_k_chndtr[] = "chndtr";
static const char __pyx_k_ellipe[] = "ellipe";
static const char __pyx_k_exprel[] = "exprel";
static const char __pyx_k_gdtria[] = "gdtria";
static const char __pyx_k_gdtrib[] = "gdtrib";
static const char __pyx_k_gdtrix[] = "gdtrix";
static const char __pyx_k_hyperu[] = "hyperu";
static const char __pyx_k_kl_div[] = "kl_div";
static const char __pyx_k_ncfdtr[] = "ncfdtr";
static const char __pyx_k_nctdtr[] = "nctdtr";
static const char __pyx_k_obl_cv[] = "obl_cv";
static const char __pyx_k_pdtrik[] = "pdtrik";
static const char __pyx_k_pro_cv[] = "pro_cv";
static const char __pyx_k_radian[] = "radian";
static const char __pyx_k_struve[] = "struve";
static const char __pyx_k_betainc[] = "betainc";
static const char __pyx_k_btdtria[] = "btdtria";
static const char __pyx_k_btdtrib[] = "btdtrib";
static const char __pyx_k_chdtriv[] = "chdtriv";
static const char __pyx_k_gammaln[] = "gammaln";
static const char __pyx_k_kn_long[] = "kn[long]";
static const char __pyx_k_kolmogi[] = "kolmogi";
static const char __pyx_k_nbdtrik[] = "nbdtrik";
static const char __pyx_k_nbdtrin[] = "nbdtrin";
static const char __pyx_k_ncfdtri[] = "ncfdtri";
static const char __pyx_k_owens_t[] = "owens_t";
static const char __pyx_k_stdtrit[] = "stdtrit";
static const char __pyx_k_tklmbda[] = "tklmbda";
static const char __pyx_k_yn_long[] = "yn[long]";
static const char __pyx_k_boxcox1p[] = "boxcox1p";
static const char __pyx_k_chndtrix[] = "chndtrix";
static const char __pyx_k_ellipkm1[] = "ellipkm1";
static const char __pyx_k_fdtridfd[] = "fdtridfd";
static const char __pyx_k_gammainc[] = "gammainc";
static const char __pyx_k_gammasgn[] = "gammasgn";
static const char __pyx_k_nctdtrit[] = "nctdtrit";
static const char __pyx_k_nrdtrimn[] = "nrdtrimn";
static const char __pyx_k_nrdtrisd[] = "nrdtrisd";
static const char __pyx_k_rel_entr[] = "rel_entr";
static const char __pyx_k_stdtridf[] = "stdtridf";
static const char __pyx_k_bdtr_long[] = "bdtr[long]";
static const char __pyx_k_chndtridf[] = "chndtridf";
static const char __pyx_k_chndtrinc[] = "chndtrinc";
static const char __pyx_k_ellipeinc[] = "ellipeinc";
static const char __pyx_k_ellipkinc[] = "ellipkinc";
static const char __pyx_k_expn_long[] = "expn[long]";
static const char __pyx_k_functions[] = "functions";
static const char __pyx_k_gammaincc[] = "gammaincc";
static const char __pyx_k_itstruve0[] = "itstruve0";
static const char __pyx_k_iv_double[] = "iv[double]";
static const char __pyx_k_jv_double[] = "jv[double]";
static const char __pyx_k_kn_double[] = "kn[double]";
static const char __pyx_k_kv_double[] = "kv[double]";
static const char __pyx_k_mathieu_a[] = "mathieu_a";
static const char __pyx_k_mathieu_b[] = "mathieu_b";
static const char __pyx_k_modstruve[] = "modstruve";
static const char __pyx_k_ncfdtrinc[] = "ncfdtrinc";
static const char __pyx_k_nctdtridf[] = "nctdtridf";
static const char __pyx_k_nctdtrinc[] = "nctdtrinc";
static const char __pyx_k_pdtr_long[] = "pdtr[long]";
static const char __pyx_k_yn_double[] = "yn[double]";
static const char __pyx_k_yv_double[] = "yv[double]";
static const char __pyx_k_bdtrc_long[] = "bdtrc[long]";
static const char __pyx_k_bdtri_long[] = "bdtri[long]";
static const char __pyx_k_besselpoly[] = "besselpoly";
static const char __pyx_k_betaincinv[] = "betaincinv";
static const char __pyx_k_erf_double[] = "erf[double]";
static const char __pyx_k_inv_boxcox[] = "inv_boxcox";
static const char __pyx_k_it2struve0[] = "it2struve0";
static const char __pyx_k_ive_double[] = "ive[double]";
static const char __pyx_k_jve_double[] = "jve[double]";
static const char __pyx_k_kolmogorov[] = "kolmogorov";
static const char __pyx_k_kve_double[] = "kve[double]";
static const char __pyx_k_nbdtr_long[] = "nbdtr[long]";
static const char __pyx_k_ncfdtridfd[] = "ncfdtridfd";
static const char __pyx_k_ncfdtridfn[] = "ncfdtridfn";
static const char __pyx_k_pdtrc_long[] = "pdtrc[long]";
static const char __pyx_k_pdtri_long[] = "pdtri[long]";
static const char __pyx_k_psi_double[] = "psi[double]";
static const char __pyx_k_yve_double[] = "yve[double]";
static const char __pyx_k_bdtr_double[] = "bdtr[double]";
static const char __pyx_k_erfc_double[] = "erfc[double]";
static const char __pyx_k_erfi_double[] = "erfi[double]";
static const char __pyx_k_exp1_double[] = "exp1[double]";
static const char __pyx_k_expi_double[] = "expi[double]";
static const char __pyx_k_expit_float[] = "expit[float]";
static const char __pyx_k_expn_double[] = "expn[double]";
static const char __pyx_k_gammaincinv[] = "gammaincinv";
static const char __pyx_k_logit_float[] = "logit[float]";
static const char __pyx_k_nbdtrc_long[] = "nbdtrc[long]";
static const char __pyx_k_nbdtri_long[] = "nbdtri[long]";
static const char __pyx_k_ndtr_double[] = "ndtr[double]";
static const char __pyx_k_pdtr_double[] = "pdtr[double]";
static const char __pyx_k_bdtrc_double[] = "bdtrc[double]";
static const char __pyx_k_bdtri_double[] = "bdtri[double]";
static const char __pyx_k_dawsn_double[] = "dawsn[double]";
static const char __pyx_k_erfcx_double[] = "erfcx[double]";
static const char __pyx_k_eval_hermite[] = "eval_hermite";
static const char __pyx_k_expit_double[] = "expit[double]";
static const char __pyx_k_expm1_double[] = "expm1[double]";
static const char __pyx_k_gamma_double[] = "gamma[double]";
static const char __pyx_k_gammainccinv[] = "gammainccinv";
static const char __pyx_k_inv_boxcox1p[] = "inv_boxcox1p";
static const char __pyx_k_itmodstruve0[] = "itmodstruve0";
static const char __pyx_k_log1p_double[] = "log1p[double]";
static const char __pyx_k_logit_double[] = "logit[double]";
static const char __pyx_k_nbdtr_double[] = "nbdtr[double]";
static const char __pyx_k_pdtrc_double[] = "pdtrc[double]";
static const char __pyx_k_pdtri_double[] = "pdtri[double]";
static const char __pyx_k_pseudo_huber[] = "pseudo_huber";
static const char __pyx_k_smirnov_long[] = "smirnov[long]";
static const char __pyx_k_xlogy_double[] = "xlogy[double]";
static const char __pyx_k_hyp0f1_double[] = "hyp0f1[double]";
static const char __pyx_k_hyp1f1_double[] = "hyp1f1[double]";
static const char __pyx_k_hyp2f1_double[] = "hyp2f1[double]";
static const char __pyx_k_nbdtrc_double[] = "nbdtrc[double]";
static const char __pyx_k_nbdtri_double[] = "nbdtri[double]";
static const char __pyx_k_rgamma_double[] = "rgamma[double]";
static const char __pyx_k_smirnovi_long[] = "smirnovi[long]";
static const char __pyx_k_spence_double[] = "spence[double]";
static const char __pyx_k_smirnov_double[] = "smirnov[double]";
static const char __pyx_k_xlog1py_double[] = "xlog1py[double]";
static const char __pyx_k_log_ndtr_double[] = "log_ndtr[double]";
static const char __pyx_k_loggamma_double[] = "loggamma[double]";
static const char __pyx_k_smirnovi_double[] = "smirnovi[double]";
static const char __pyx_k_eval_hermitenorm[] = "eval_hermitenorm";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_eval_chebyc_long_double[] = "eval_chebyc[long, double]";
static const char __pyx_k_eval_chebys_long_double[] = "eval_chebys[long, double]";
static const char __pyx_k_eval_chebyt_long_double[] = "eval_chebyt[long, double]";
static const char __pyx_k_eval_chebyu_long_double[] = "eval_chebyu[long, double]";
static const char __pyx_k_eval_jacobi_long_double[] = "eval_jacobi[long, double]";
static const char __pyx_k_eval_chebyc_double_double[] = "eval_chebyc[double, double]";
static const char __pyx_k_eval_chebys_double_double[] = "eval_chebys[double, double]";
static const char __pyx_k_eval_chebyt_double_double[] = "eval_chebyt[double, double]";
static const char __pyx_k_eval_chebyu_double_double[] = "eval_chebyu[double, double]";
static const char __pyx_k_eval_jacobi_double_double[] = "eval_jacobi[double, double]";
static const char __pyx_k_eval_laguerre_long_double[] = "eval_laguerre[long, double]";
static const char __pyx_k_eval_legendre_long_double[] = "eval_legendre[long, double]";
static const char __pyx_k_eval_sh_chebyt_long_double[] = "eval_sh_chebyt[long, double]";
static const char __pyx_k_eval_sh_chebyu_long_double[] = "eval_sh_chebyu[long, double]";
static const char __pyx_k_eval_sh_jacobi_long_double[] = "eval_sh_jacobi[long, double]";
static const char __pyx_k_eval_gegenbauer_long_double[] = "eval_gegenbauer[long, double]";
static const char __pyx_k_eval_laguerre_double_double[] = "eval_laguerre[double, double]";
static const char __pyx_k_eval_legendre_double_double[] = "eval_legendre[double, double]";
static const char __pyx_k_eval_genlaguerre_long_double[] = "eval_genlaguerre[long, double]";
static const char __pyx_k_eval_sh_chebyt_double_double[] = "eval_sh_chebyt[double, double]";
static const char __pyx_k_eval_sh_chebyu_double_double[] = "eval_sh_chebyu[double, double]";
static const char __pyx_k_eval_sh_jacobi_double_double[] = "eval_sh_jacobi[double, double]";
static const char __pyx_k_eval_sh_legendre_long_double[] = "eval_sh_legendre[long, double]";
static const char __pyx_k_eval_gegenbauer_double_double[] = "eval_gegenbauer[double, double]";
static const char __pyx_k_eval_genlaguerre_double_double[] = "eval_genlaguerre[double, double]";
static const char __pyx_k_eval_sh_legendre_double_double[] = "eval_sh_legendre[double, double]";
static PyObject *__pyx_n_u_agm;
static PyObject *__pyx_kp_u_bdtr_double;
static PyObject *__pyx_kp_u_bdtr_long;
static PyObject *__pyx_kp_u_bdtrc_double;
static PyObject *__pyx_kp_u_bdtrc_long;
static PyObject *__pyx_kp_u_bdtri_double;
static PyObject *__pyx_kp_u_bdtri_long;
static PyObject *__pyx_n_u_bdtrik;
static PyObject *__pyx_n_u_bdtrin;
static PyObject *__pyx_n_u_bei;
static PyObject *__pyx_n_u_beip;
static PyObject *__pyx_n_u_ber;
static PyObject *__pyx_n_u_berp;
static PyObject *__pyx_n_u_besselpoly;
static PyObject *__pyx_n_u_beta;
static PyObject *__pyx_n_u_betainc;
static PyObject *__pyx_n_u_betaincinv;
static PyObject *__pyx_n_u_betaln;
static PyObject *__pyx_n_u_binom;
static PyObject *__pyx_n_u_boxcox;
static PyObject *__pyx_n_u_boxcox1p;
static PyObject *__pyx_n_u_btdtr;
static PyObject *__pyx_n_u_btdtri;
static PyObject *__pyx_n_u_btdtria;
static PyObject *__pyx_n_u_btdtrib;
static PyObject *__pyx_n_u_cbrt;
static PyObject *__pyx_n_u_chdtr;
static PyObject *__pyx_n_u_chdtrc;
static PyObject *__pyx_n_u_chdtri;
static PyObject *__pyx_n_u_chdtriv;
static PyObject *__pyx_n_u_chndtr;
static PyObject *__pyx_n_u_chndtridf;
static PyObject *__pyx_n_u_chndtrinc;
static PyObject *__pyx_n_u_chndtrix;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_u_cosdg;
static PyObject *__pyx_n_u_cosm1;
static PyObject *__pyx_n_u_cotdg;
static PyObject *__pyx_kp_u_dawsn_double;
static PyObject *__pyx_n_u_ellipe;
static PyObject *__pyx_n_u_ellipeinc;
static PyObject *__pyx_n_u_ellipkinc;
static PyObject *__pyx_n_u_ellipkm1;
static PyObject *__pyx_n_u_entr;
static PyObject *__pyx_kp_u_erf_double;
static PyObject *__pyx_kp_u_erfc_double;
static PyObject *__pyx_kp_u_erfcx_double;
static PyObject *__pyx_kp_u_erfi_double;
static PyObject *__pyx_kp_u_eval_chebyc_double_double;
static PyObject *__pyx_kp_u_eval_chebyc_long_double;
static PyObject *__pyx_kp_u_eval_chebys_double_double;
static PyObject *__pyx_kp_u_eval_chebys_long_double;
static PyObject *__pyx_kp_u_eval_chebyt_double_double;
static PyObject *__pyx_kp_u_eval_chebyt_long_double;
static PyObject *__pyx_kp_u_eval_chebyu_double_double;
static PyObject *__pyx_kp_u_eval_chebyu_long_double;
static PyObject *__pyx_kp_u_eval_gegenbauer_double_double;
static PyObject *__pyx_kp_u_eval_gegenbauer_long_double;
static PyObject *__pyx_kp_u_eval_genlaguerre_double_double;
static PyObject *__pyx_kp_u_eval_genlaguerre_long_double;
static PyObject *__pyx_n_u_eval_hermite;
static PyObject *__pyx_n_u_eval_hermitenorm;
static PyObject *__pyx_kp_u_eval_jacobi_double_double;
static PyObject *__pyx_kp_u_eval_jacobi_long_double;
static PyObject *__pyx_kp_u_eval_laguerre_double_double;
static PyObject *__pyx_kp_u_eval_laguerre_long_double;
static PyObject *__pyx_kp_u_eval_legendre_double_double;
static PyObject *__pyx_kp_u_eval_legendre_long_double;
static PyObject *__pyx_kp_u_eval_sh_chebyt_double_double;
static PyObject *__pyx_kp_u_eval_sh_chebyt_long_double;
static PyObject *__pyx_kp_u_eval_sh_chebyu_double_double;
static PyObject *__pyx_kp_u_eval_sh_chebyu_long_double;
static PyObject *__pyx_kp_u_eval_sh_jacobi_double_double;
static PyObject *__pyx_kp_u_eval_sh_jacobi_long_double;
static PyObject *__pyx_kp_u_eval_sh_legendre_double_double;
static PyObject *__pyx_kp_u_eval_sh_legendre_long_double;
static PyObject *__pyx_n_u_exp10;
static PyObject *__pyx_kp_u_exp1_double;
static PyObject *__pyx_n_u_exp2;
static PyObject *__pyx_kp_u_expi_double;
static PyObject *__pyx_kp_u_expit_double;
static PyObject *__pyx_kp_u_expit_float;
static PyObject *__pyx_kp_u_expm1_double;
static PyObject *__pyx_kp_u_expn_double;
static PyObject *__pyx_kp_u_expn_long;
static PyObject *__pyx_n_u_exprel;
static PyObject *__pyx_n_u_fdtr;
static PyObject *__pyx_n_u_fdtrc;
static PyObject *__pyx_n_u_fdtri;
static PyObject *__pyx_n_u_fdtridfd;
static PyObject *__pyx_n_s_functions;
static PyObject *__pyx_kp_u_gamma_double;
static PyObject *__pyx_n_u_gammainc;
static PyObject *__pyx_n_u_gammaincc;
static PyObject *__pyx_n_u_gammainccinv;
static PyObject *__pyx_n_u_gammaincinv;
static PyObject *__pyx_n_u_gammaln;
static PyObject *__pyx_n_u_gammasgn;
static PyObject *__pyx_n_u_gdtr;
static PyObject *__pyx_n_u_gdtrc;
static PyObject *__pyx_n_u_gdtria;
static PyObject *__pyx_n_u_gdtrib;
static PyObject *__pyx_n_u_gdtrix;
static PyObject *__pyx_n_u_huber;
static PyObject *__pyx_kp_u_hyp0f1_double;
static PyObject *__pyx_kp_u_hyp1f1_double;
static PyObject *__pyx_kp_u_hyp2f1_double;
static PyObject *__pyx_n_u_hyperu;
static PyObject *__pyx_n_u_i0;
static PyObject *__pyx_n_u_i0e;
static PyObject *__pyx_n_u_i1;
static PyObject *__pyx_n_u_i1e;
static PyObject *__pyx_n_u_inv_boxcox;
static PyObject *__pyx_n_u_inv_boxcox1p;
static PyObject *__pyx_n_u_it2struve0;
static PyObject *__pyx_n_u_itmodstruve0;
static PyObject *__pyx_n_u_itstruve0;
static PyObject *__pyx_kp_u_iv_double;
static PyObject *__pyx_kp_u_ive_double;
static PyObject *__pyx_n_u_j0;
static PyObject *__pyx_n_u_j1;
static PyObject *__pyx_kp_u_jv_double;
static PyObject *__pyx_kp_u_jve_double;
static PyObject *__pyx_n_u_k0;
static PyObject *__pyx_n_u_k0e;
static PyObject *__pyx_n_u_k1;
static PyObject *__pyx_n_u_k1e;
static PyObject *__pyx_n_u_kei;
static PyObject *__pyx_n_u_keip;
static PyObject *__pyx_n_u_ker;
static PyObject *__pyx_n_u_kerp;
static PyObject *__pyx_n_u_kl_div;
static PyObject *__pyx_kp_u_kn_double;
static PyObject *__pyx_kp_u_kn_long;
static PyObject *__pyx_n_u_kolmogi;
static PyObject *__pyx_n_u_kolmogorov;
static PyObject *__pyx_kp_u_kv_double;
static PyObject *__pyx_kp_u_kve_double;
static PyObject *__pyx_kp_u_log1p_double;
static PyObject *__pyx_kp_u_log_ndtr_double;
static PyObject *__pyx_kp_u_loggamma_double;
static PyObject *__pyx_kp_u_logit_double;
static PyObject *__pyx_kp_u_logit_float;
static PyObject *__pyx_n_u_lpmv;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_u_mathieu_a;
static PyObject *__pyx_n_u_mathieu_b;
static PyObject *__pyx_n_u_modstruve;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_kp_u_nbdtr_double;
static PyObject *__pyx_kp_u_nbdtr_long;
static PyObject *__pyx_kp_u_nbdtrc_double;
static PyObject *__pyx_kp_u_nbdtrc_long;
static PyObject *__pyx_kp_u_nbdtri_double;
static PyObject *__pyx_kp_u_nbdtri_long;
static PyObject *__pyx_n_u_nbdtrik;
static PyObject *__pyx_n_u_nbdtrin;
static PyObject *__pyx_n_u_ncfdtr;
static PyObject *__pyx_n_u_ncfdtri;
static PyObject *__pyx_n_u_ncfdtridfd;
static PyObject *__pyx_n_u_ncfdtridfn;
static PyObject *__pyx_n_u_ncfdtrinc;
static PyObject *__pyx_n_u_nctdtr;
static PyObject *__pyx_n_u_nctdtridf;
static PyObject *__pyx_n_u_nctdtrinc;
static PyObject *__pyx_n_u_nctdtrit;
static PyObject *__pyx_kp_u_ndtr_double;
static PyObject *__pyx_n_u_ndtri;
static PyObject *__pyx_n_u_nrdtrimn;
static PyObject *__pyx_n_u_nrdtrisd;
static PyObject *__pyx_n_u_obl_cv;
static PyObject *__pyx_n_u_owens_t;
static PyObject *__pyx_kp_u_pdtr_double;
static PyObject *__pyx_kp_u_pdtr_long;
static PyObject *__pyx_kp_u_pdtrc_double;
static PyObject *__pyx_kp_u_pdtrc_long;
static PyObject *__pyx_kp_u_pdtri_double;
static PyObject *__pyx_kp_u_pdtri_long;
static PyObject *__pyx_n_u_pdtrik;
static PyObject *__pyx_n_u_poch;
static PyObject *__pyx_n_u_pro_cv;
static PyObject *__pyx_n_u_pseudo_huber;
static PyObject *__pyx_kp_u_psi_double;
static PyObject *__pyx_n_u_radian;
static PyObject *__pyx_n_u_rel_entr;
static PyObject *__pyx_kp_u_rgamma_double;
static PyObject *__pyx_n_u_round;
static PyObject *__pyx_n_u_sindg;
static PyObject *__pyx_kp_u_smirnov_double;
static PyObject *__pyx_kp_u_smirnov_long;
static PyObject *__pyx_kp_u_smirnovi_double;
static PyObject *__pyx_kp_u_smirnovi_long;
static PyObject *__pyx_kp_u_spence_double;
static PyObject *__pyx_n_u_stdtr;
static PyObject *__pyx_n_u_stdtridf;
static PyObject *__pyx_n_u_stdtrit;
static PyObject *__pyx_n_u_struve;
static PyObject *__pyx_n_u_tandg;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_u_tklmbda;
static PyObject *__pyx_kp_u_xlog1py_double;
static PyObject *__pyx_kp_u_xlogy_double;
static PyObject *__pyx_n_u_y0;
static PyObject *__pyx_n_u_y1;
static PyObject *__pyx_kp_u_yn_double;
static PyObject *__pyx_kp_u_yn_long;
static PyObject *__pyx_kp_u_yv_double;
static PyObject *__pyx_kp_u_yve_double;
static PyObject *__pyx_n_u_zetac;
/* Late includes */

static PyMethodDef __pyx_methods[] = {
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static int __pyx_pymod_exec_function_pointers(PyObject* module); /*proto*/
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};
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#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
#endif
#endif

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  {&__pyx_kp_u_erfcx_double, __pyx_k_erfcx_double, sizeof(__pyx_k_erfcx_double), 0, 1, 0, 0},
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  {&__pyx_kp_u_eval_chebyu_double_double, __pyx_k_eval_chebyu_double_double, sizeof(__pyx_k_eval_chebyu_double_double), 0, 1, 0, 0},
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  {&__pyx_kp_u_eval_gegenbauer_double_double, __pyx_k_eval_gegenbauer_double_double, sizeof(__pyx_k_eval_gegenbauer_double_double), 0, 1, 0, 0},
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/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

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

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

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

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

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

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

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

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

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

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

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

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

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

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


#endif /* Py_PYTHON_H */
