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Aug 31, 2025
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Bessel functions #14

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48 changes: 41 additions & 7 deletions build.rs
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Original file line number Diff line number Diff line change
Expand Up @@ -45,14 +45,42 @@ const XSF_HEADERS: &[&str] = &[
];
// e.g. `("spam", "if->d")` becomes `double xsf_spam(int x0, float x1)`
const XSF_TYPES: &[(&str, &str)] = &[
// airy.h
// TODO: `airyb`, `airyzo`, `airy`, `airye`, `itairy`
// alg.h
("cbrt", "d->d"),
// bessel.h
// TODO: `it1j0y0`, `it2j0y0`, `it1i0k0`, `it2i0k0`
// TODO: `rctj`, `rcty`,
// TODO: `cyl_hankel_1`, `cyl_hankel_1e`, `cyl_hankel_2`, `cyl_hankel_2e`
("cyl_bessel_j", "dd->d"), // TODO: complex
("cyl_bessel_je", "dd->d"), // TODO: complex
("cyl_bessel_j0", "d->d"),
("cyl_bessel_j1", "d->d"),
("cyl_bessel_y", "dd->d"), // TODO: complex
("cyl_bessel_ye", "dd->d"), // TODO: complex
("cyl_bessel_y0", "d->d"),
("cyl_bessel_y1", "d->d"),
("cyl_bessel_i", "dd->d"), // TODO: complex
("cyl_bessel_ie", "dd->d"), // TODO: complex
("cyl_bessel_i0", "d->d"),
("cyl_bessel_i0e", "d->d"),
("cyl_bessel_i1", "d->d"),
("cyl_bessel_i1e", "d->d"),
("cyl_bessel_k", "dd->d"), // TODO: complex
("cyl_bessel_ke", "dd->d"), // TODO: complex
("cyl_bessel_k0", "d->d"),
("cyl_bessel_k0e", "d->d"),
("cyl_bessel_k1", "d->d"),
("cyl_bessel_k1e", "d->d"),
("besselpoly", "ddd->d"),
// beta.h
("beta", "dd->d"),
("betaln", "dd->d"),
// binom.h
// cdflib.h (TODO: `gdtrib`)
("binom", "dd->d"),
// cdflib.h
// TODO: `gdtrib`
// digamma.h
("digamma", "d->d"),
// erf.h
Expand All @@ -62,7 +90,8 @@ const XSF_TYPES: &[(&str, &str)] = &[
("erfi", "d->d"),
("voigt_profile", "ddd->d"),
("dawsn", "d->d"),
// evalpoly.h (TODO: `cevalpoly`)
// evalpoly.h
// TODO: `cevalpoly`
// exp.h
("expm1", "d->d"),
("exp2", "d->d"),
Expand All @@ -71,7 +100,8 @@ const XSF_TYPES: &[(&str, &str)] = &[
("exp1", "d->d"),
("expi", "d->d"),
("scaled_exp1", "d->d"),
// fresnel.h (TODO: `fresnel`, `fcszo`)
// fresnel.h
// TODO: `fresnel`, `fcszo`
// gamma.h
("gamma", "d->d"), // TODO: complex
("gammaln", "d->d"),
Expand All @@ -86,7 +116,8 @@ const XSF_TYPES: &[(&str, &str)] = &[
// iv_ratio.h
("iv_ratio", "dd->d"),
("iv_ratio_c", "dd->d"),
// kelvin.h (TODO: `kelvin`, `klvnzo`)
// kelvin.h
// TODO: `kelvin`, `klvnzo`
("ber", "d->d"),
("bei", "d->d"),
("ker", "d->d"),
Expand All @@ -95,7 +126,8 @@ const XSF_TYPES: &[(&str, &str)] = &[
("beip", "d->d"),
("kerp", "d->d"),
("keip", "d->d"),
// legendre.h (TODO: `assoc_legendre_p`, `lqn`, `lqmn`)
// legendre.h
// TODO: `assoc_legendre_p`, `lqn`, `lqmn`
("legendre_p", "id->d"),
("sph_legendre_p", "iid->d"),
// log_exp.h
Expand All @@ -112,10 +144,12 @@ const XSF_TYPES: &[(&str, &str)] = &[
// loggamma.h
("loggamma", "d->d"),
("rgamma", "d->d"),
// mathieu.h (TODO: `cen`, `sem`, `mcm1`, `msm1`, `mcm2`, `msm2`)
// mathieu.h
// TODO: `cen`, `sem`, `mcm1`, `msm1`, `mcm2`, `msm2`
("cem_cva", "dd->d"),
("sem_cva", "dd->d"),
// specfun.h (TODO: `chyp2f1`, `cerf`)
// specfun.h
// TODO: `chyp2f1`, `cerf`
("hypu", "ddd->d"),
("hyp1f1", "ddd->d"),
("pmv", "ddd->d"),
Expand Down
80 changes: 78 additions & 2 deletions src/lib.rs
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Original file line number Diff line number Diff line change
Expand Up @@ -20,6 +20,82 @@ macro_rules! xsf_impl {
// alg.h
xsf_impl!(cbrt, xsf_cbrt, "Cube root", x: f64);

// bessel.h
xsf_impl!(cyl_bessel_j, xsf_cyl_bessel_j, "Bessel function, 1st kind", v: f64, x: f64);
xsf_impl!(
cyl_bessel_je,
xsf_cyl_bessel_je,
"Exponentially scaled Bessel function, 1st kind",
v: f64,
x: f64
);
xsf_impl!(cyl_bessel_y, xsf_cyl_bessel_y, "Bessel function, 2nd kind", v: f64, x: f64);
xsf_impl!(
cyl_bessel_ye,
xsf_cyl_bessel_ye,
"Exponentially scaled Bessel function, 2nd kind",
v: f64,
x: f64
);
xsf_impl!(cyl_bessel_i, xsf_cyl_bessel_i, "Modified Bessel function, 1st kind", v: f64, x: f64);
xsf_impl!(
cyl_bessel_ie,
xsf_cyl_bessel_ie,
"Exponentially scaled modified Bessel function, 1st kind",
v: f64,
x: f64
);
xsf_impl!(cyl_bessel_k, xsf_cyl_bessel_k, "Modified Bessel function, 2nd kind", v: f64, x: f64);
xsf_impl!(
cyl_bessel_ke,
xsf_cyl_bessel_ke,
"Exponentially scaled modified Bessel function, 2nd kind",
v: f64,
x: f64
);

xsf_impl!(cyl_bessel_j0, xsf_cyl_bessel_j0, "Bessel function, 1st kind, order 0", x: f64);
xsf_impl!(cyl_bessel_j1, xsf_cyl_bessel_j1, "Bessel function, 1st kind, order 1", x: f64);
xsf_impl!(cyl_bessel_y0, xsf_cyl_bessel_y0, "Bessel function, 2nd kind, order 0", x: f64);
xsf_impl!(cyl_bessel_y1, xsf_cyl_bessel_y1, "Bessel function, 2nd kind, order 1", x: f64);
xsf_impl!(cyl_bessel_i0, xsf_cyl_bessel_i0, "Modified Bessel function, 1st kind, order 0", x: f64);
xsf_impl!(
cyl_bessel_i0e,
xsf_cyl_bessel_i0e,
"Exponentially scaled modified Bessel function, 1st kind, order 0",
x: f64
);
xsf_impl!(cyl_bessel_i1, xsf_cyl_bessel_i1, "Modified Bessel function, 1st kind, order 1", x: f64);
xsf_impl!(
cyl_bessel_i1e,
xsf_cyl_bessel_i1e,
"Exponentially scaled modified Bessel function, 1st kind, order 1",
x: f64
);
xsf_impl!(cyl_bessel_k0, xsf_cyl_bessel_k0, "Modified Bessel function, 2nd kind, order 0", x: f64);
xsf_impl!(
cyl_bessel_k0e,
xsf_cyl_bessel_k0e,
"Exponentially scaled modified Bessel function, 2nd kind, order 0",
x: f64
);
xsf_impl!(cyl_bessel_k1, xsf_cyl_bessel_k1, "Modified Bessel function, 2nd kind, order 1", x: f64);
xsf_impl!(
cyl_bessel_k1e,
xsf_cyl_bessel_k1e,
"Exponentially scaled modified Bessel function, 2nd kind, order 1",
x: f64
);

xsf_impl!(
besselpoly,
xsf_besselpoly,
"Weighted integral of the Bessel function of the first kind",
a: f64,
lambda: f64,
nu: f64
);

// beta.h
xsf_impl!(beta, xsf_beta, "Beta function", a: f64, b: f64);
xsf_impl!(betaln, xsf_betaln, "Natural log of `|beta|`", a: f64, b: f64);
Expand Down Expand Up @@ -74,14 +150,14 @@ xsf_impl!(hyp2f1, xsf_hyp2f1, "Gauss hypergeometric function `2F1`", a: f64, b:
xsf_impl!(
iv_ratio,
xsf_iv_ratio,
"Compute `iv(v,x)/iv(v-1,x)` of the modified Bessel function of the first kind",
"Compute `iv(v,x)/iv(v-1,x)` of the modified Bessel function, 1st kind",
v: f64,
x: f64
);
xsf_impl!(
iv_ratio_c,
xsf_iv_ratio_c,
"Compute `iv(v,x)/iv(v-1,x)` of the modified Bessel function of the first kind",
"Compute `iv(v,x)/iv(v-1,x)` of the modified Bessel function, 1st kind",
v: f64,
x: f64
);
Expand Down
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