Cython API for Special Functions¶

Scalar, typed versions of many of the functions in scipy.special can be accessed directly from Cython; the complete list is given below. Functions are overloaded using Cython fused types so their names match their ufunc counterpart. The module follows the following conventions:

If a function’s ufunc counterpart returns multiple values, then the function returns its outputs via pointers in the final arguments
If a function’s ufunc counterpart returns a single value, then the function’s output is returned directly.

The module is usable from Cython via:

cimport scipy.special.cython_special

Error Handling¶

Functions can indicate an error by returning nan; however they cannot emit warnings like their counterparts in scipy.special.

Available Functions¶

nctdtrit:

double nctdtrit(double, double, double)

shichi:

void shichi(double, double *, double *)
void shichi(double complex, double complex *, double complex *)

ellipe:
```
double ellipe(double)
```

spence:

double spence(double)
double complex spence(double complex)

ndtr:

double ndtr(double)
double complex ndtr(double complex)

hyp2f1:

double hyp2f1(double, double, double, double)
double complex hyp2f1(double, double, double, double complex)

wrightomega:

double complex wrightomega(double complex)

gammainccinv:
```
double gammainccinv(double, double)
```

nbdtri:

double nbdtri(long, long, double)
double nbdtri(double, double, double)

sph_harm:

double complex sph_harm(long, long, double, double)
double complex sph_harm(double, double, double, double)

y0:
```
double y0(double)
```

eval_sh_jacobi:

double complex eval_sh_jacobi(double, double, double, double complex)
double eval_sh_jacobi(long, double, double, double)
double eval_sh_jacobi(double, double, double, double)

obl_ang1_cv:

void obl_ang1_cv(double, double, double, double, double, double *, double *)

xlog1py:

double xlog1py(double, double)
double complex xlog1py(double complex, double complex)

chdtriv:
```
double chdtriv(double, double)
```

dawsn:

double dawsn(double)
double complex dawsn(double complex)

psi:

double complex psi(double complex)
double psi(double)

nctdtridf:

double nctdtridf(double, double, double)

hankel1e:

double complex hankel1e(double, double complex)

ncfdtr:

double ncfdtr(double, double, double, double)

sici:

void sici(double, double *, double *)
void sici(double complex, double complex *, double complex *)

ellipj:

void ellipj(double, double, double *, double *, double *, double *)

jve:

double jve(double, double)
double complex jve(double, double complex)

ellipeinc:
```
double ellipeinc(double, double)
```
pseudo_huber:
```
double pseudo_huber(double, double)
```
i0e:
```
double i0e(double)
```
stdtridf:
```
double stdtridf(double, double)
```

mathieu_sem:

void mathieu_sem(double, double, double, double *, double *)

exprel:
```
double exprel(double)
```

chndtridf:

double chndtridf(double, double, double)

pdtrc:

double pdtrc(long, double)
double pdtrc(double, double)

bei:
```
double bei(double)
```
beip:
```
double beip(double)
```
gammaincc:
```
double gammaincc(double, double)
```

yv:

double complex yv(double, double complex)
double yv(double, double)

lpmv:
```
double lpmv(double, double, double)
```
mathieu_b:
```
double mathieu_b(double, double)
```

nctdtrinc:

double nctdtrinc(double, double, double)

betainc:
```
double betainc(double, double, double)
```

mathieu_modcem2:

void mathieu_modcem2(double, double, double, double *, double *)

iti0k0:

void iti0k0(double, double *, double *)

boxcox:
```
double boxcox(double, double)
```
kerp:
```
double kerp(double)
```
tandg:
```
double tandg(double)
```

hankel2:

double complex hankel2(double, double complex)

hankel1:

double complex hankel1(double, double complex)

chdtr:
```
double chdtr(double, double)
```
radian:
```
double radian(double, double, double)
```

betaincinv:

double betaincinv(double, double, double)

sindg:
```
double sindg(double)
```

eval_jacobi:

double complex eval_jacobi(double, double, double, double complex)
double eval_jacobi(long, double, double, double)
double eval_jacobi(double, double, double, double)

btdtrib:
```
double btdtrib(double, double, double)
```

expi:

double expi(double)
double complex expi(double complex)

obl_rad2_cv:

void obl_rad2_cv(double, double, double, double, double, double *, double *)

eval_genlaguerre:

double complex eval_genlaguerre(double, double, double complex)
double eval_genlaguerre(long, double, double)
double eval_genlaguerre(double, double, double)

kolmogorov:
```
double kolmogorov(double)
```
j0:
```
double j0(double)
```
j1:
```
double j1(double)
```

pro_ang1:

void pro_ang1(double, double, double, double, double *, double *)

y1:
```
double y1(double)
```
entr:
```
double entr(double)
```

airye:

void airye(double, double *, double *, double *, double *)
void airye(double complex, double complex *, double complex *, double complex *, double complex *)

loggamma:

double complex loggamma(double complex)
double loggamma(double)

struve:
```
double struve(double, double)
```

erfcx:

double erfcx(double)
double complex erfcx(double complex)

inv_boxcox1p:
```
double inv_boxcox1p(double, double)
```

pdtri:

double pdtri(long, double)
double pdtri(double, double)

rgamma:

double complex rgamma(double complex)
double rgamma(double)

poch:
```
double poch(double, double)
```

kelvin:

void kelvin(double, double complex *, double complex *, double complex *, double complex *)

mathieu_a:
```
double mathieu_a(double, double)
```
ndtri:
```
double ndtri(double)
```

it2i0k0:

void it2i0k0(double, double *, double *)

zetac:
```
double zetac(double)
```
kolmogi:
```
double kolmogi(double)
```
gammaln:
```
double gammaln(double)
```
modstruve:
```
double modstruve(double, double)
```
kei:
```
double kei(double)
```
huber:
```
double huber(double, double)
```

jv:

double complex jv(double, double complex)
double jv(double, double)

chndtrix:

double chndtrix(double, double, double)

pdtr:

double pdtr(long, double)
double pdtr(double, double)

gdtrc:
```
double gdtrc(double, double, double)
```
fdtrc:
```
double fdtrc(double, double, double)
```
btdtria:
```
double btdtria(double, double, double)
```
it2struve0:
```
double it2struve0(double)
```
fdtri:
```
double fdtri(double, double, double)
```
ker:
```
double ker(double)
```
cotdg:
```
double cotdg(double)
```
stdtrit:
```
double stdtrit(double, double)
```
bdtrik:
```
double bdtrik(double, double, double)
```

yve:

double complex yve(double, double complex)
double yve(double, double)

bdtrin:
```
double bdtrin(double, double, double)
```

pro_rad1_cv:

void pro_rad1_cv(double, double, double, double, double, double *, double *)

gdtr:
```
double gdtr(double, double, double)
```
round:
```
double round(double)
```

obl_rad1_cv:

void obl_rad1_cv(double, double, double, double, double, double *, double *)

btdtri:
```
double btdtri(double, double, double)
```

erfc:

double erfc(double)
double complex erfc(double complex)

mathieu_modcem1:

void mathieu_modcem1(double, double, double, double *, double *)

pro_cv:
```
double pro_cv(double, double, double)
```

erfi:

double erfi(double)
double complex erfi(double complex)

eval_chebys:

double eval_chebys(double, double)
double complex eval_chebys(double, double complex)
double eval_chebys(long, double)

hyp2f0:

void hyp2f0(double, double, double, long, double *, double *)
void hyp2f0(double, double, double, double, double *, double *)

eval_chebyu:

double complex eval_chebyu(double, double complex)
double eval_chebyu(long, double)
double eval_chebyu(double, double)

eval_chebyt:

double eval_chebyt(double, double)
double complex eval_chebyt(double, double complex)
double eval_chebyt(long, double)

pbwa:

void pbwa(double, double, double *, double *)

eval_hermitenorm:
```
double eval_hermitenorm(long, double)
```
itmodstruve0:
```
double itmodstruve0(double)
```
cbrt:
```
double cbrt(double)
```

eval_chebyc:

double eval_chebyc(double, double)
double complex eval_chebyc(double, double complex)
double eval_chebyc(long, double)

wofz:
```
double complex wofz(double complex)
```
cosm1:
```
double cosm1(double)
```
rel_entr:
```
double rel_entr(double, double)
```
ellipkinc:
```
double ellipkinc(double, double)
```

ncfdtri:

double ncfdtri(double, double, double, double)

exp2:
```
double exp2(double)
```

exp1:

double exp1(double)
double complex exp1(double complex)

tklmbda:
```
double tklmbda(double, double)
```

modfresnelm:

void modfresnelm(double, double complex *, double complex *)

modfresnelp:

void modfresnelp(double, double complex *, double complex *)

btdtr:
```
double btdtr(double, double, double)
```

eval_sh_chebyt:

double eval_sh_chebyt(double, double)
double eval_sh_chebyt(long, double)
double complex eval_sh_chebyt(double, double complex)

eval_sh_chebyu:

double complex eval_sh_chebyu(double, double complex)
double eval_sh_chebyu(long, double)
double eval_sh_chebyu(double, double)

k0e:
```
double k0e(double)
```
cosdg:
```
double cosdg(double)
```

airy:

void airy(double complex, double complex *, double complex *, double complex *, double complex *)
void airy(double, double *, double *, double *, double *)

pro_rad2_cv:

void pro_rad2_cv(double, double, double, double, double, double *, double *)

fresnel:

void fresnel(double, double *, double *)
void fresnel(double complex, double complex *, double complex *)

exp10:
```
double exp10(double)
```

itairy:

void itairy(double, double *, double *, double *, double *)

bdtr:

double bdtr(long, long, double)
double bdtr(double, double, double)

berp:
```
double berp(double)
```

hankel2e:

double complex hankel2e(double, double complex)

kn:

double kn(long, double)
double kn(double, double)

expm1:

double expm1(double)
double complex expm1(double complex)

eval_sh_legendre:

double eval_sh_legendre(long, double)
double complex eval_sh_legendre(double, double complex)
double eval_sh_legendre(double, double)

eval_hermite:
```
double eval_hermite(long, double)
```

mathieu_cem:

void mathieu_cem(double, double, double, double *, double *)

nbdtrc:

double nbdtrc(long, long, double)
double nbdtrc(double, double, double)

ncfdtrinc:

double ncfdtrinc(double, double, double, double)

gammainc:
```
double gammainc(double, double)
```
binom:
```
double binom(double, double)
```

iv:

double complex iv(double, double complex)
double iv(double, double)

stdtr:
```
double stdtr(double, double)
```

eval_laguerre:

double complex eval_laguerre(double, double complex)
double eval_laguerre(long, double)
double eval_laguerre(double, double)

inv_boxcox:
```
double inv_boxcox(double, double)
```

eval_gegenbauer:

double eval_gegenbauer(double, double, double)
double complex eval_gegenbauer(double, double, double complex)
double eval_gegenbauer(long, double, double)

boxcox1p:
```
double boxcox1p(double, double)
```

erf:

double erf(double)
double complex erf(double complex)

itj0y0:

void itj0y0(double, double *, double *)

expn:

double expn(long, double)
double expn(double, double)

k1e:
```
double k1e(double)
```
ber:
```
double ber(double)
```

log1p:

double log1p(double)
double complex log1p(double complex)

gdtrix:
```
double gdtrix(double, double, double)
```

smirnovi:

double smirnovi(long, double)
double smirnovi(double, double)

ive:

double ive(double, double)
double complex ive(double, double complex)

nrdtrimn:

double nrdtrimn(double, double, double)

pdtrik:
```
double pdtrik(double, double)
```

smirnov:

double smirnov(long, double)
double smirnov(double, double)

hyp1f1:

double hyp1f1(double, double, double)
double complex hyp1f1(double, double, double complex)

eval_legendre:

double complex eval_legendre(double, double complex)
double eval_legendre(long, double)
double eval_legendre(double, double)

expit:

long double expit(long double)
float expit(float)
double expit(double)

fdtr:
```
double fdtr(double, double, double)
```

nbdtr:

double nbdtr(long, long, double)
double nbdtr(double, double, double)

gammasgn:
```
double gammasgn(double)
```
betaln:
```
double betaln(double, double)
```
chndtr:
```
double chndtr(double, double, double)
```

pbdv:

void pbdv(double, double, double *, double *)

pro_rad2:

void pro_rad2(double, double, double, double, double *, double *)

pro_rad1:

void pro_rad1(double, double, double, double, double *, double *)

ellipkm1:
```
double ellipkm1(double)
```
itstruve0:
```
double itstruve0(double)
```

fdtridfd:

double fdtridfd(double, double, double)

nbdtrik:
```
double nbdtrik(double, double, double)
```
k1:
```
double k1(double)
```
k0:
```
double k0(double)
```
nbdtrin:
```
double nbdtrin(double, double, double)
```
obl_cv:
```
double obl_cv(double, double, double)
```
kl_div:
```
double kl_div(double, double)
```
i1e:
```
double i1e(double)
```
owens_t:
```
double owens_t(double, double)
```

kv:

double kv(double, double)
double complex kv(double, double complex)

bdtri:

double bdtri(long, long, double)
double bdtri(double, double, double)

log_ndtr:

double log_ndtr(double)
double complex log_ndtr(double complex)

kve:

double complex kve(double, double complex)
double kve(double, double)

obl_ang1:

void obl_ang1(double, double, double, double, double *, double *)

i1:
```
double i1(double)
```
i0:
```
double i0(double)
```

bdtrc:

double bdtrc(long, long, double)
double bdtrc(double, double, double)

obl_rad2:

void obl_rad2(double, double, double, double, double *, double *)

obl_rad1:

void obl_rad1(double, double, double, double, double *, double *)

beta:
```
double beta(double, double)
```

nrdtrisd:

double nrdtrisd(double, double, double)

nctdtr:
```
double nctdtr(double, double, double)
```

xlogy:

double complex xlogy(double complex, double complex)
double xlogy(double, double)

gammaincinv:
```
double gammaincinv(double, double)
```

chndtrinc:

double chndtrinc(double, double, double)

yn:

double yn(long, double)
double yn(double, double)

hyp0f1:

double hyp0f1(double, double)
double complex hyp0f1(double, double complex)

hyperu:
```
double hyperu(double, double, double)
```
agm:
```
double agm(double, double)
```

logit:

double logit(double)
long double logit(long double)
float logit(float)

pro_ang1_cv:

void pro_ang1_cv(double, double, double, double, double, double *, double *)

it2j0y0:

void it2j0y0(double, double *, double *)

besselpoly:

double besselpoly(double, double, double)

pbvv:

void pbvv(double, double, double *, double *)

hyp1f2:

void hyp1f2(double, double, double, double, double *, double *)

gdtrib:
```
double gdtrib(double, double, double)
```

ncfdtridfd:

double ncfdtridfd(double, double, double, double)

gdtria:
```
double gdtria(double, double, double)
```

gamma:

double complex gamma(double complex)
double gamma(double)

chdtrc:
```
double chdtrc(double, double)
```

ncfdtridfn:

double ncfdtridfn(double, double, double, double)

mathieu_modsem1:

void mathieu_modsem1(double, double, double, double *, double *)

mathieu_modsem2:

void mathieu_modsem2(double, double, double, double *, double *)

keip:
```
double keip(double)
```
chdtri:
```
double chdtri(double, double)
```

hyp3f0:

void hyp3f0(double, double, double, double, double *, double *)

Cython API for Special Functions
- Error Handling
- Available Functions

Cython API for Special Functions¶

Error Handling¶

Available Functions¶

Table Of Contents