# This file is automatically generated by _generate_pyx.py. # Do not edit manually! ctypedef fused number_t: double complex double cpdef number_t spherical_jn(long n, number_t z, bint derivative=*) noexcept nogil cpdef number_t spherical_yn(long n, number_t z, bint derivative=*) noexcept nogil cpdef number_t spherical_in(long n, number_t z, bint derivative=*) noexcept nogil cpdef number_t spherical_kn(long n, number_t z, bint derivative=*) noexcept nogil ctypedef fused Dd_number_t: double complex double ctypedef fused df_number_t: double float ctypedef fused dfg_number_t: double float long double ctypedef fused dl_number_t: double long cpdef double voigt_profile(double x0, double x1, double x2) noexcept nogil cpdef double agm(double x0, double x1) noexcept nogil cdef void airy(Dd_number_t x0, Dd_number_t *y0, Dd_number_t *y1, Dd_number_t *y2, Dd_number_t *y3) noexcept nogil cdef void airye(Dd_number_t x0, Dd_number_t *y0, Dd_number_t *y1, Dd_number_t *y2, Dd_number_t *y3) noexcept nogil cpdef double bdtr(double x0, dl_number_t x1, double x2) noexcept nogil cpdef double bdtrc(double x0, dl_number_t x1, double x2) noexcept nogil cpdef double bdtri(double x0, dl_number_t x1, double x2) noexcept nogil cpdef double bdtrik(double x0, double x1, double x2) noexcept nogil cpdef double bdtrin(double x0, double x1, double x2) noexcept nogil cpdef double bei(double x0) noexcept nogil cpdef double beip(double x0) noexcept nogil cpdef double ber(double x0) noexcept nogil cpdef double berp(double x0) noexcept nogil cpdef double besselpoly(double x0, double x1, double x2) noexcept nogil cpdef double beta(double x0, double x1) noexcept nogil cpdef df_number_t betainc(df_number_t x0, df_number_t x1, df_number_t x2) noexcept nogil cpdef df_number_t betaincc(df_number_t x0, df_number_t x1, df_number_t x2) noexcept nogil cpdef df_number_t betaincinv(df_number_t x0, df_number_t x1, df_number_t x2) noexcept nogil cpdef df_number_t betainccinv(df_number_t x0, df_number_t x1, df_number_t x2) noexcept nogil cpdef double betaln(double x0, double x1) noexcept nogil cpdef double binom(double x0, double x1) noexcept nogil cpdef double boxcox(double x0, double x1) noexcept nogil cpdef double boxcox1p(double x0, double x1) noexcept nogil cpdef double btdtr(double x0, double x1, double x2) noexcept nogil cpdef double btdtri(double x0, double x1, double x2) noexcept nogil cpdef double btdtria(double x0, double x1, double x2) noexcept nogil cpdef double btdtrib(double x0, double x1, double x2) noexcept nogil cpdef double cbrt(double x0) noexcept nogil cpdef double chdtr(double x0, double x1) noexcept nogil cpdef double chdtrc(double x0, double x1) noexcept nogil cpdef double chdtri(double x0, double x1) noexcept nogil cpdef double chdtriv(double x0, double x1) noexcept nogil cpdef double chndtr(double x0, double x1, double x2) noexcept nogil cpdef double chndtridf(double x0, double x1, double x2) noexcept nogil cpdef double chndtrinc(double x0, double x1, double x2) noexcept nogil cpdef double chndtrix(double x0, double x1, double x2) noexcept nogil cpdef double cosdg(double x0) noexcept nogil cpdef double cosm1(double x0) noexcept nogil cpdef double cotdg(double x0) noexcept nogil cpdef Dd_number_t dawsn(Dd_number_t x0) noexcept nogil cpdef double ellipe(double x0) noexcept nogil cpdef double ellipeinc(double x0, double x1) noexcept nogil cdef void ellipj(double x0, double x1, double *y0, double *y1, double *y2, double *y3) noexcept nogil cpdef double ellipkinc(double x0, double x1) noexcept nogil cpdef double ellipkm1(double x0) noexcept nogil cpdef double ellipk(double x0) noexcept nogil cpdef Dd_number_t elliprc(Dd_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t elliprd(Dd_number_t x0, Dd_number_t x1, Dd_number_t x2) noexcept nogil cpdef Dd_number_t elliprf(Dd_number_t x0, Dd_number_t x1, Dd_number_t x2) noexcept nogil cpdef Dd_number_t elliprg(Dd_number_t x0, Dd_number_t x1, Dd_number_t x2) noexcept nogil cpdef Dd_number_t elliprj(Dd_number_t x0, Dd_number_t x1, Dd_number_t x2, Dd_number_t x3) noexcept nogil cpdef double entr(double x0) noexcept nogil cpdef Dd_number_t erf(Dd_number_t x0) noexcept nogil cpdef Dd_number_t erfc(Dd_number_t x0) noexcept nogil cpdef Dd_number_t erfcx(Dd_number_t x0) noexcept nogil cpdef Dd_number_t erfi(Dd_number_t x0) noexcept nogil cpdef df_number_t erfinv(df_number_t x0) noexcept nogil cpdef double erfcinv(double x0) noexcept nogil cpdef Dd_number_t eval_chebyc(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_chebys(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_chebyt(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_chebyu(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_gegenbauer(dl_number_t x0, double x1, Dd_number_t x2) noexcept nogil cpdef Dd_number_t eval_genlaguerre(dl_number_t x0, double x1, Dd_number_t x2) noexcept nogil cpdef double eval_hermite(long x0, double x1) noexcept nogil cpdef double eval_hermitenorm(long x0, double x1) noexcept nogil cpdef Dd_number_t eval_jacobi(dl_number_t x0, double x1, double x2, Dd_number_t x3) noexcept nogil cpdef Dd_number_t eval_laguerre(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_legendre(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_sh_chebyt(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_sh_chebyu(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t eval_sh_jacobi(dl_number_t x0, double x1, double x2, Dd_number_t x3) noexcept nogil cpdef Dd_number_t eval_sh_legendre(dl_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t exp1(Dd_number_t x0) noexcept nogil cpdef double exp10(double x0) noexcept nogil cpdef double exp2(double x0) noexcept nogil cpdef Dd_number_t expi(Dd_number_t x0) noexcept nogil cpdef dfg_number_t expit(dfg_number_t x0) noexcept nogil cpdef Dd_number_t expm1(Dd_number_t x0) noexcept nogil cpdef double expn(dl_number_t x0, double x1) noexcept nogil cpdef double exprel(double x0) noexcept nogil cpdef double fdtr(double x0, double x1, double x2) noexcept nogil cpdef double fdtrc(double x0, double x1, double x2) noexcept nogil cpdef double fdtri(double x0, double x1, double x2) noexcept nogil cpdef double fdtridfd(double x0, double x1, double x2) noexcept nogil cdef void fresnel(Dd_number_t x0, Dd_number_t *y0, Dd_number_t *y1) noexcept nogil cpdef Dd_number_t gamma(Dd_number_t x0) noexcept nogil cpdef double gammainc(double x0, double x1) noexcept nogil cpdef double gammaincc(double x0, double x1) noexcept nogil cpdef double gammainccinv(double x0, double x1) noexcept nogil cpdef double gammaincinv(double x0, double x1) noexcept nogil cpdef double gammaln(double x0) noexcept nogil cpdef double gammasgn(double x0) noexcept nogil cpdef double gdtr(double x0, double x1, double x2) noexcept nogil cpdef double gdtrc(double x0, double x1, double x2) noexcept nogil cpdef double gdtria(double x0, double x1, double x2) noexcept nogil cpdef double gdtrib(double x0, double x1, double x2) noexcept nogil cpdef double gdtrix(double x0, double x1, double x2) noexcept nogil cpdef double complex hankel1(double x0, double complex x1) noexcept nogil cpdef double complex hankel1e(double x0, double complex x1) noexcept nogil cpdef double complex hankel2(double x0, double complex x1) noexcept nogil cpdef double complex hankel2e(double x0, double complex x1) noexcept nogil cpdef double huber(double x0, double x1) noexcept nogil cpdef Dd_number_t hyp0f1(double x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t hyp1f1(double x0, double x1, Dd_number_t x2) noexcept nogil cpdef Dd_number_t hyp2f1(double x0, double x1, double x2, Dd_number_t x3) noexcept nogil cpdef double hyperu(double x0, double x1, double x2) noexcept nogil cpdef double i0(double x0) noexcept nogil cpdef double i0e(double x0) noexcept nogil cpdef double i1(double x0) noexcept nogil cpdef double i1e(double x0) noexcept nogil cpdef double inv_boxcox(double x0, double x1) noexcept nogil cpdef double inv_boxcox1p(double x0, double x1) noexcept nogil cdef void it2i0k0(double x0, double *y0, double *y1) noexcept nogil cdef void it2j0y0(double x0, double *y0, double *y1) noexcept nogil cpdef double it2struve0(double x0) noexcept nogil cdef void itairy(double x0, double *y0, double *y1, double *y2, double *y3) noexcept nogil cdef void iti0k0(double x0, double *y0, double *y1) noexcept nogil cdef void itj0y0(double x0, double *y0, double *y1) noexcept nogil cpdef double itmodstruve0(double x0) noexcept nogil cpdef double itstruve0(double x0) noexcept nogil cpdef Dd_number_t iv(double x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t ive(double x0, Dd_number_t x1) noexcept nogil cpdef double j0(double x0) noexcept nogil cpdef double j1(double x0) noexcept nogil cpdef Dd_number_t jv(double x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t jve(double x0, Dd_number_t x1) noexcept nogil cpdef double k0(double x0) noexcept nogil cpdef double k0e(double x0) noexcept nogil cpdef double k1(double x0) noexcept nogil cpdef double k1e(double x0) noexcept nogil cpdef double kei(double x0) noexcept nogil cpdef double keip(double x0) noexcept nogil cdef void kelvin(double x0, double complex *y0, double complex *y1, double complex *y2, double complex *y3) noexcept nogil cpdef double ker(double x0) noexcept nogil cpdef double kerp(double x0) noexcept nogil cpdef double kl_div(double x0, double x1) noexcept nogil cpdef double kn(dl_number_t x0, double x1) noexcept nogil cpdef double kolmogi(double x0) noexcept nogil cpdef double kolmogorov(double x0) noexcept nogil cpdef Dd_number_t kv(double x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t kve(double x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t log1p(Dd_number_t x0) noexcept nogil cpdef dfg_number_t log_expit(dfg_number_t x0) noexcept nogil cpdef Dd_number_t log_ndtr(Dd_number_t x0) noexcept nogil cpdef Dd_number_t loggamma(Dd_number_t x0) noexcept nogil cpdef dfg_number_t logit(dfg_number_t x0) noexcept nogil cpdef double lpmv(double x0, double x1, double x2) noexcept nogil cpdef double mathieu_a(double x0, double x1) noexcept nogil cpdef double mathieu_b(double x0, double x1) noexcept nogil cdef void mathieu_cem(double x0, double x1, double x2, double *y0, double *y1) noexcept nogil cdef void mathieu_modcem1(double x0, double x1, double x2, double *y0, double *y1) noexcept nogil cdef void mathieu_modcem2(double x0, double x1, double x2, double *y0, double *y1) noexcept nogil cdef void mathieu_modsem1(double x0, double x1, double x2, double *y0, double *y1) noexcept nogil cdef void mathieu_modsem2(double x0, double x1, double x2, double *y0, double *y1) noexcept nogil cdef void mathieu_sem(double x0, double x1, double x2, double *y0, double *y1) noexcept nogil cdef void modfresnelm(double x0, double complex *y0, double complex *y1) noexcept nogil cdef void modfresnelp(double x0, double complex *y0, double complex *y1) noexcept nogil cpdef double modstruve(double x0, double x1) noexcept nogil cpdef double nbdtr(dl_number_t x0, dl_number_t x1, double x2) noexcept nogil cpdef double nbdtrc(dl_number_t x0, dl_number_t x1, double x2) noexcept nogil cpdef double nbdtri(dl_number_t x0, dl_number_t x1, double x2) noexcept nogil cpdef double nbdtrik(double x0, double x1, double x2) noexcept nogil cpdef double nbdtrin(double x0, double x1, double x2) noexcept nogil cpdef double ncfdtr(double x0, double x1, double x2, double x3) noexcept nogil cpdef double ncfdtri(double x0, double x1, double x2, double x3) noexcept nogil cpdef double ncfdtridfd(double x0, double x1, double x2, double x3) noexcept nogil cpdef double ncfdtridfn(double x0, double x1, double x2, double x3) noexcept nogil cpdef double ncfdtrinc(double x0, double x1, double x2, double x3) noexcept nogil cpdef double nctdtr(double x0, double x1, double x2) noexcept nogil cpdef double nctdtridf(double x0, double x1, double x2) noexcept nogil cpdef double nctdtrinc(double x0, double x1, double x2) noexcept nogil cpdef double nctdtrit(double x0, double x1, double x2) noexcept nogil cpdef Dd_number_t ndtr(Dd_number_t x0) noexcept nogil cpdef double ndtri(double x0) noexcept nogil cpdef double nrdtrimn(double x0, double x1, double x2) noexcept nogil cpdef double nrdtrisd(double x0, double x1, double x2) noexcept nogil cdef void obl_ang1(double x0, double x1, double x2, double x3, double *y0, double *y1) noexcept nogil cdef void obl_ang1_cv(double x0, double x1, double x2, double x3, double x4, double *y0, double *y1) noexcept nogil cpdef double obl_cv(double x0, double x1, double x2) noexcept nogil cdef void obl_rad1(double x0, double x1, double x2, double x3, double *y0, double *y1) noexcept nogil cdef void obl_rad1_cv(double x0, double x1, double x2, double x3, double x4, double *y0, double *y1) noexcept nogil cdef void obl_rad2(double x0, double x1, double x2, double x3, double *y0, double *y1) noexcept nogil cdef void obl_rad2_cv(double x0, double x1, double x2, double x3, double x4, double *y0, double *y1) noexcept nogil cpdef double owens_t(double x0, double x1) noexcept nogil cdef void pbdv(double x0, double x1, double *y0, double *y1) noexcept nogil cdef void pbvv(double x0, double x1, double *y0, double *y1) noexcept nogil cdef void pbwa(double x0, double x1, double *y0, double *y1) noexcept nogil cpdef double pdtr(double x0, double x1) noexcept nogil cpdef double pdtrc(double x0, double x1) noexcept nogil cpdef double pdtri(dl_number_t x0, double x1) noexcept nogil cpdef double pdtrik(double x0, double x1) noexcept nogil cpdef double poch(double x0, double x1) noexcept nogil cpdef df_number_t powm1(df_number_t x0, df_number_t x1) noexcept nogil cdef void pro_ang1(double x0, double x1, double x2, double x3, double *y0, double *y1) noexcept nogil cdef void pro_ang1_cv(double x0, double x1, double x2, double x3, double x4, double *y0, double *y1) noexcept nogil cpdef double pro_cv(double x0, double x1, double x2) noexcept nogil cdef void pro_rad1(double x0, double x1, double x2, double x3, double *y0, double *y1) noexcept nogil cdef void pro_rad1_cv(double x0, double x1, double x2, double x3, double x4, double *y0, double *y1) noexcept nogil cdef void pro_rad2(double x0, double x1, double x2, double x3, double *y0, double *y1) noexcept nogil cdef void pro_rad2_cv(double x0, double x1, double x2, double x3, double x4, double *y0, double *y1) noexcept nogil cpdef double pseudo_huber(double x0, double x1) noexcept nogil cpdef Dd_number_t psi(Dd_number_t x0) noexcept nogil cpdef double radian(double x0, double x1, double x2) noexcept nogil cpdef double rel_entr(double x0, double x1) noexcept nogil cpdef Dd_number_t rgamma(Dd_number_t x0) noexcept nogil cpdef double round(double x0) noexcept nogil cdef void shichi(Dd_number_t x0, Dd_number_t *y0, Dd_number_t *y1) noexcept nogil cdef void sici(Dd_number_t x0, Dd_number_t *y0, Dd_number_t *y1) noexcept nogil cpdef double sindg(double x0) noexcept nogil cpdef double smirnov(dl_number_t x0, double x1) noexcept nogil cpdef double smirnovi(dl_number_t x0, double x1) noexcept nogil cpdef Dd_number_t spence(Dd_number_t x0) noexcept nogil cpdef double complex sph_harm(dl_number_t x0, dl_number_t x1, double x2, double x3) noexcept nogil cpdef double stdtr(double x0, double x1) noexcept nogil cpdef double stdtridf(double x0, double x1) noexcept nogil cpdef double stdtrit(double x0, double x1) noexcept nogil cpdef double struve(double x0, double x1) noexcept nogil cpdef double tandg(double x0) noexcept nogil cpdef double tklmbda(double x0, double x1) noexcept nogil cpdef double complex wofz(double complex x0) noexcept nogil cpdef Dd_number_t wrightomega(Dd_number_t x0) noexcept nogil cpdef Dd_number_t xlog1py(Dd_number_t x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t xlogy(Dd_number_t x0, Dd_number_t x1) noexcept nogil cpdef double y0(double x0) noexcept nogil cpdef double y1(double x0) noexcept nogil cpdef double yn(dl_number_t x0, double x1) noexcept nogil cpdef Dd_number_t yv(double x0, Dd_number_t x1) noexcept nogil cpdef Dd_number_t yve(double x0, Dd_number_t x1) noexcept nogil cpdef double zetac(double x0) noexcept nogil cpdef double wright_bessel(double x0, double x1, double x2) noexcept nogil cpdef double ndtri_exp(double x0) noexcept nogil