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#include <stdlib.h>
#include <stdio.h>
#include <string.h>
#include <gmp.h>
#include <mpfr.h>
#include <mpc.h>
#include <flint/arb.h>
#include <flint/acb.h>
#include <flint/acb_hypgeom.h>
#include <flint/acb_elliptic.h>
#define WITH_GMP 1
#include "s7.h"
static void s7_number_to_acb(s7_scheme *sc, acb_t z, s7_pointer x, slong prec)
{
if (s7_is_big_real(x))
{
arf_set_mpfr((arf_struct *)acb_realref(z), *s7_big_real(x));
arb_zero(acb_imagref(z));
}
else
{
if (s7_is_big_integer(x))
{
arf_set_mpz((arf_struct *)acb_realref(z), *s7_big_integer(x));
arb_zero(acb_imagref(z));
}
else
{
if (s7_is_integer(x))
acb_set_si(z, s7_integer(x));
else
{
if (s7_is_big_ratio(x))
{
mpfr_t mq;
mpfr_init2(mq, prec);
mpfr_set_q(mq, *s7_big_ratio(x), MPFR_RNDN);
arf_set_mpfr((arf_struct *)acb_realref(z), mq);
arb_zero(acb_imagref(z));
mpfr_clear(mq);
}
else
{
if (s7_is_real(x))
acb_set_d(z, s7_real(x));
else
{
if (s7_is_big_complex(x))
{
arf_set_mpfr((arf_struct *)acb_realref(z), mpc_realref(*s7_big_complex(x)));
arf_set_mpfr((arf_struct *)acb_imagref(z), mpc_imagref(*s7_big_complex(x)));
}
else
{
if (s7_is_complex(x))
acb_set_d_d(z, s7_real_part(x), s7_imag_part(x));
}}}}}}
}
static s7_pointer acb_to_s7(s7_scheme *sc, acb_t w, slong prec)
{
s7_pointer result;
if (arb_is_zero(acb_imagref(w)))
{
mpfr_t mp;
mpfr_init2(mp, prec);
arf_get_mpfr(mp, (const arf_struct *)acb_realref(w), MPFR_RNDN);
result = s7_make_big_real(sc, &mp);
mpfr_clear(mp);
}
else
{
mpc_t mp;
mpc_init2(mp, prec);
arf_get_mpfr(mpc_realref(mp), (const arf_struct *)acb_realref(w), MPFR_RNDN);
arf_get_mpfr(mpc_imagref(mp), (const arf_struct *)acb_imagref(w), MPFR_RNDN);
result = s7_make_big_complex(sc, &mp);
mpc_clear(mp);
}
return(result);
}
static acb_t nu, w, z, b;
/* these should be local to s7_scheme someday via a void* list or something */
/* -------------------------------- aci -------------------------------- */
static s7_pointer aci(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t z, slong prec))
{
s7_pointer n;
slong prec;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, z, n, prec);
acb_func(w, z, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_erf(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erf", acb_hypgeom_erf));}
static s7_pointer a_erfc(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erfc", acb_hypgeom_erfc));}
static s7_pointer a_erfi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erfi", acb_hypgeom_erfi));}
static s7_pointer a_ei(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ei", acb_hypgeom_ei));}
static s7_pointer a_si(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_si", acb_hypgeom_si));}
static s7_pointer a_ci(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ci", acb_hypgeom_ci));}
static s7_pointer a_shi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_shi", acb_hypgeom_shi));}
static s7_pointer a_chi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_chi", acb_hypgeom_chi));}
static s7_pointer a_erf_1f1a(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erf_1f1a", acb_hypgeom_erf_1f1a));}
static s7_pointer a_erf_1f1b(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_erf_1f1b", acb_hypgeom_erf_1f1b));}
static s7_pointer a_ei_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ei_asymp", acb_hypgeom_ei_asymp));}
static s7_pointer a_ei_2f2(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ei_2f2", acb_hypgeom_ei_2f2));}
static s7_pointer a_si_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_si_asymp", acb_hypgeom_si_asymp));}
static s7_pointer a_si_1f2(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_si_1f2", acb_hypgeom_si_1f2));}
static s7_pointer a_ci_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ci_asymp", acb_hypgeom_ci_asymp));}
static s7_pointer a_ci_2f3(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_ci_2f3", acb_hypgeom_ci_2f3));}
static s7_pointer a_chi_asymp(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_chi_asymp", acb_hypgeom_chi_asymp));}
static s7_pointer a_chi_2f3(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_chi_2f3", acb_hypgeom_chi_2f3));}
static s7_pointer a_dilog_bernoulli(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog_bernoulli", acb_hypgeom_dilog_bernoulli));}
static s7_pointer a_dilog_zero_taylor(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog_zero_taylor", acb_hypgeom_dilog_zero_taylor));}
static s7_pointer a_dilog_zero(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog_zero", acb_hypgeom_dilog_zero));}
static s7_pointer a_dilog(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_dilog", acb_hypgeom_dilog));}
static s7_pointer a_elliptic_k(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_elliptic_k", acb_elliptic_k));}
static s7_pointer a_elliptic_e(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_elliptic_e", acb_elliptic_e));}
static s7_pointer a_elliptic_rc1(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_elliptic_rc1", acb_elliptic_rc1));}
static s7_pointer a_gamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_gamma", acb_gamma));}
static s7_pointer a_rgamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_rgamma", acb_rgamma));}
static s7_pointer a_lgamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_lgamma", acb_lgamma));}
static s7_pointer a_log_sin_pi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_log_sin_pi", acb_log_sin_pi));}
static s7_pointer a_digamma(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_digamma", acb_digamma));}
static s7_pointer a_zeta(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_zeta", acb_zeta));}
static s7_pointer a_log_barnes_g(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_log_barnes_g", acb_log_barnes_g));}
static s7_pointer a_barnes_g(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_barnes_g", acb_barnes_g));}
static s7_pointer a_sinc(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_sinc", acb_sinc));}
static s7_pointer a_sinc_pi(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_sinc_pi", acb_sinc_pi));}
static s7_pointer a_agm1(s7_scheme *sc, s7_pointer args) {return(aci(sc, args, "acb_agm1", acb_agm1));}
/* -------------------------------- acci -------------------------------- */
static s7_pointer acci(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, slong prec))
{
s7_pointer n, x;
slong prec;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
acb_func(w, nu, z, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_bessel_j(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_j", acb_hypgeom_bessel_j));}
static s7_pointer a_bessel_y(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_y", acb_hypgeom_bessel_y));}
static s7_pointer a_bessel_i(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_i", acb_hypgeom_bessel_i));}
static s7_pointer a_bessel_k(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_k", acb_hypgeom_bessel_k));}
static s7_pointer a_hermite_h(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_hermite_h", acb_hypgeom_hermite_h));}
static s7_pointer a_chebyshev_t(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_chebyshev_t", acb_hypgeom_chebyshev_t));}
static s7_pointer a_chebyshev_u(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_chebyshev_u", acb_hypgeom_chebyshev_u));}
static s7_pointer a_bessel_j_0f1(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_j_0f1", acb_hypgeom_bessel_j_0f1));}
static s7_pointer a_bessel_j_asymp(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_j_asymp", acb_hypgeom_bessel_j_asymp));}
static s7_pointer a_bessel_i_scaled(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_i_scaled", acb_hypgeom_bessel_i_scaled));}
static s7_pointer a_bessel_k_scaled(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_bessel_k_scaled", acb_hypgeom_bessel_k_scaled));}
static s7_pointer a_expint(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_expint", acb_hypgeom_expint));}
static s7_pointer a_elliptic_pi(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_pi", acb_elliptic_pi));}
static s7_pointer a_elliptic_p(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_p", acb_elliptic_p));}
static s7_pointer a_elliptic_zeta(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_zeta", acb_elliptic_zeta));}
static s7_pointer a_elliptic_sigma(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_sigma", acb_elliptic_sigma));}
static s7_pointer a_elliptic_inv_p(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_elliptic_inv_p", acb_elliptic_inv_p));}
static s7_pointer a_hurwitz_zeta(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_hurwitz_zeta", acb_hurwitz_zeta));}
static s7_pointer a_polygamma(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_polygamma", acb_polygamma));}
static s7_pointer a_polylog(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_polylog", acb_polylog));}
static s7_pointer a_agm(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_agm", acb_agm));}
static s7_pointer a_dilog_continuation(s7_scheme *sc, s7_pointer args) {return(acci(sc, args, "acb_dilog_continuation", acb_hypgeom_dilog_continuation));}
/* -------------------------------- accii -------------------------------- */
static s7_pointer accii(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, int scaled, slong prec))
{
s7_pointer n, x, scl;
slong prec;
s7_int scaled;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
scl = s7_caddr(args);
if (!s7_is_integer(scl))
return(s7_wrong_type_arg_error(sc, b_name, 3, scl, "integer"));
scaled = s7_integer(scl);
acb_func(w, nu, z, scaled, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_bessel_i_0f1(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_i_0f1", acb_hypgeom_bessel_i_0f1));}
static s7_pointer a_bessel_i_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_i_asymp", acb_hypgeom_bessel_i_asymp));}
static s7_pointer a_bessel_k_0f1(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_k_0f1", acb_hypgeom_bessel_k_0f1));}
static s7_pointer a_bessel_k_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_bessel_k_asymp", acb_hypgeom_bessel_k_asymp));}
static s7_pointer a_hypgeom_0f1_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_hypgeom_0f1_asymp", acb_hypgeom_0f1_asymp));}
static s7_pointer a_hypgeom_0f1_direct(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_hypgeom_0f1_direct", acb_hypgeom_0f1_direct));}
static s7_pointer a_hypgeom_0f1(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_hypgeom_0f1", acb_hypgeom_0f1));}
static s7_pointer a_gamma_lower(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_lower", acb_hypgeom_gamma_lower));}
static s7_pointer a_gamma_upper_asymp(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper_asymp", acb_hypgeom_gamma_upper_asymp));}
static s7_pointer a_gamma_upper_1f1a(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper_1f1a", acb_hypgeom_gamma_upper_1f1a));}
static s7_pointer a_gamma_upper_1f1b(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper_1f1b", acb_hypgeom_gamma_upper_1f1b));}
static s7_pointer a_gamma_upper(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_gamma_upper", acb_hypgeom_gamma_upper));}
static s7_pointer a_elliptic_e_inc(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_elliptic_e_inc", acb_elliptic_e_inc));}
static s7_pointer a_elliptic_f(s7_scheme *sc, s7_pointer args) {return(accii(sc, args, "acb_elliptic_f", acb_elliptic_f));}
/* -------------------------------- accci -------------------------------- */
static s7_pointer accci(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, const acb_t b, slong prec))
{
s7_pointer n, x, b1;
slong prec;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
b1 = s7_caddr(args);
if (!s7_is_number(b1))
return(s7_wrong_type_arg_error(sc, b_name, 3, b1, "number"));
s7_number_to_acb(sc, b, b1, prec);
acb_func(w, nu, z, b, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_hypgeom_u_1f1(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_hypgeom_u_1f1", acb_hypgeom_u_1f1));}
static s7_pointer a_hypgeom_u(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_hypgeom_u", acb_hypgeom_u));}
static s7_pointer a_gegenbauer_c(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_gegenbauer_c", acb_hypgeom_gegenbauer_c));}
static s7_pointer a_laguerre_l(s7_scheme *sc, s7_pointer args) {return(accci(sc, args, "acb_laguerre_l", acb_hypgeom_laguerre_l));}
/* -------------------------------- acccii -------------------------------- */
static s7_pointer acccii(s7_scheme *sc, s7_pointer args, const char *b_name, void acb_func(acb_t res, const acb_t nu, const acb_t z, const acb_t b, int scaled, slong prec))
{
s7_pointer n, x, scl, b1;
slong prec;
s7_int scaled;
prec = s7_integer(s7_starlet_ref(sc, s7_make_symbol(sc, "bignum-precision")));
n = s7_car(args);
if (!s7_is_number(n))
return(s7_wrong_type_arg_error(sc, b_name, 1, n, "number"));
s7_number_to_acb(sc, nu, n, prec);
x = s7_cadr(args);
if (!s7_is_number(x))
return(s7_wrong_type_arg_error(sc, b_name, 2, x, "number"));
s7_number_to_acb(sc, z, x, prec);
b1 = s7_caddr(args);
if (!s7_is_number(b1))
return(s7_wrong_type_arg_error(sc, b_name, 3, b1, "number"));
s7_number_to_acb(sc, b, b1, prec);
scl = s7_cadddr(args);
if (!s7_is_integer(scl))
return(s7_wrong_type_arg_error(sc, b_name, 4, scl, "integer"));
scaled = s7_integer(scl);
acb_func(w, nu, z, b, scaled, prec);
return(acb_to_s7(sc, w, prec));
}
static s7_pointer a_hypgeom_m_asymp(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_m_asymp", acb_hypgeom_m_asymp));}
static s7_pointer a_hypgeom_m_1f1(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_m_1f1", acb_hypgeom_m_1f1));}
static s7_pointer a_hypgeom_m(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_m", acb_hypgeom_m));}
static s7_pointer a_hypgeom_1f1(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_hypgeom_1f1", acb_hypgeom_1f1));}
static s7_pointer a_hypgeom_beta_lower(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_beta_lower", acb_hypgeom_beta_lower));}
static s7_pointer a_hypgeom_legendre_p(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_legendre_p", acb_hypgeom_legendre_p));}
static s7_pointer a_hypgeom_legendre_q(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_legendre_q", acb_hypgeom_legendre_q));}
static s7_pointer a_elliptic_rf(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_elliptic_rf", acb_elliptic_rf));}
static s7_pointer a_elliptic_rg(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_elliptic_rg", acb_elliptic_rg));}
static s7_pointer a_elliptic_pi_inc(s7_scheme *sc, s7_pointer args) {return(acccii(sc, args, "acb_elliptic_pi_inc", acb_elliptic_pi_inc));}
/* -------------------------------- libarb_s7_init -------------------------------- */
void libarb_s7_init(s7_scheme *sc);
void libarb_s7_init(s7_scheme *sc)
{
s7_pointer old_shadow, arb, old_curlet, aci_sig, acci_sig, accii_sig, accci_sig, acccii_sig;
acb_init(b);
acb_init(nu);
acb_init(w);
acb_init(z);
s7_define_constant(sc, "*arb*", arb = s7_inlet(sc, s7_nil(sc)));
old_curlet = s7_set_curlet(sc, arb);
old_shadow = s7_set_shadow_rootlet(sc, arb);
aci_sig = s7_make_signature(sc, 2, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?")); /* "i" in aci=precision */
acci_sig = s7_make_signature(sc, 3, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"));
accii_sig = s7_make_signature(sc, 4, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "integer?"));
accci_sig = s7_make_signature(sc, 4, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"));
acccii_sig = s7_make_signature(sc, 5, s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"),
s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "number?"), s7_make_symbol(sc, "integer?"));
s7_define_typed_function(sc, "acb_erf", a_erf, 1, 0, false, "(acb_erf x)", aci_sig);
s7_define_typed_function(sc, "acb_erfc", a_erfc, 1, 0, false, "(acb_erfc x)", aci_sig);
s7_define_typed_function(sc, "acb_erfi", a_erfi, 1, 0, false, "(acb_erfi x)", aci_sig);
s7_define_typed_function(sc, "acb_ei", a_ei, 1, 0, false, "(acb_ei x)", aci_sig);
s7_define_typed_function(sc, "acb_si", a_si, 1, 0, false, "(acb_si x)", aci_sig);
s7_define_typed_function(sc, "acb_ci", a_ci, 1, 0, false, "(acb_ci x)", aci_sig);
s7_define_typed_function(sc, "acb_shi", a_shi, 1, 0, false, "(acb_shi x)", aci_sig);
s7_define_typed_function(sc, "acb_chi", a_chi, 1, 0, false, "(acb_chi x)", aci_sig);
s7_define_typed_function(sc, "acb_erf_1f1a", a_erf_1f1a, 1, 0, false, "(acb_erf_1f1a x)", aci_sig);
s7_define_typed_function(sc, "acb_erf_1f1b", a_erf_1f1b, 1, 0, false, "(acb_erf_1f1b x)", aci_sig);
s7_define_typed_function(sc, "acb_ei_asymp", a_ei_asymp, 1, 0, false, "(acb_ei_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_ei_2f2", a_ei_2f2, 1, 0, false, "(acb_ei_2f2 x)", aci_sig);
s7_define_typed_function(sc, "acb_si_asymp", a_si_asymp, 1, 0, false, "(acb_si_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_si_1f2", a_si_1f2, 1, 0, false, "(acb_si_1f2 x)", aci_sig);
s7_define_typed_function(sc, "acb_ci_asymp", a_ci_asymp, 1, 0, false, "(acb_ci_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_ci_2f3", a_ci_2f3, 1, 0, false, "(acb_ci_2f3 x)", aci_sig);
s7_define_typed_function(sc, "acb_chi_asymp", a_chi_asymp, 1, 0, false, "(acb_chi_asymp x)", aci_sig);
s7_define_typed_function(sc, "acb_chi_2f3", a_chi_2f3, 1, 0, false, "(acb_chi_2f3 x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog_bernoulli", a_dilog_bernoulli, 1, 0, false, "(acb_dilog_bernoulli x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog_zero_taylor", a_dilog_zero_taylor, 1, 0, false, "(acb_dilog_zero_taylor x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog_zero", a_dilog_zero, 1, 0, false, "(acb_dilog_zero x)", aci_sig);
s7_define_typed_function(sc, "acb_dilog", a_dilog, 1, 0, false, "(acb_dilog x)", aci_sig);
s7_define_typed_function(sc, "acb_elliptic_k", a_elliptic_k, 1, 0, false, "(acb_elliptic_k x)", aci_sig);
s7_define_typed_function(sc, "acb_elliptic_e", a_elliptic_e, 1, 0, false, "(acb_elliptic_e x)", aci_sig);
s7_define_typed_function(sc, "acb_elliptic_rc1", a_elliptic_rc1, 1, 0, false, "(acb_elliptic_rc1 x)", aci_sig);
s7_define_typed_function(sc, "acb_gamma", a_gamma, 1, 0, false, "(acb_gamma x)", aci_sig);
s7_define_typed_function(sc, "acb_rgamma", a_rgamma, 1, 0, false, "(acb_rgamma x)", aci_sig);
s7_define_typed_function(sc, "acb_lgamma", a_lgamma, 1, 0, false, "(acb_lgamma x)", aci_sig);
s7_define_typed_function(sc, "acb_log_sin_pi", a_log_sin_pi, 1, 0, false, "(acb_log_sin_pi x)", aci_sig);
s7_define_typed_function(sc, "acb_digamma", a_digamma, 1, 0, false, "(acb_digamma x)", aci_sig);
s7_define_typed_function(sc, "acb_zeta", a_zeta, 1, 0, false, "(acb_zeta x)", aci_sig);
s7_define_typed_function(sc, "acb_log_barnes_g", a_log_barnes_g, 1, 0, false, "(acb_log_barnes_g x)", aci_sig);
s7_define_typed_function(sc, "acb_barnes_g", a_barnes_g, 1, 0, false, "(acb_barnes_g x)", aci_sig);
s7_define_typed_function(sc, "acb_sinc", a_sinc, 1, 0, false, "(acb_sinc x)", aci_sig);
s7_define_typed_function(sc, "acb_sinc_pi", a_sinc_pi, 1, 0, false, "(acb_sinc_pi x)", aci_sig);
s7_define_typed_function(sc, "acb_agm1", a_agm1, 1, 0, false, "(acb_agm1 x)", aci_sig);
s7_define_typed_function(sc, "acb_bessel_j", a_bessel_j, 2, 0, false, "(acb_bessel_j n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_y", a_bessel_y, 2, 0, false, "(acb_bessel_y n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_i", a_bessel_i, 2, 0, false, "(acb_bessel_i n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_k", a_bessel_k, 2, 0, false, "(acb_bessel_k n x)", acci_sig);
s7_define_typed_function(sc, "acb_hermite_h", a_hermite_h, 2, 0, false, "(acb_hermite_h n x)", acci_sig);
s7_define_typed_function(sc, "acb_chebyshev_t", a_chebyshev_t, 2, 0, false, "(acb_chebyshev_t n x)", acci_sig);
s7_define_typed_function(sc, "acb_chebyshev_u", a_chebyshev_u, 2, 0, false, "(acb_chebyshev_u n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_j_0f1", a_bessel_j_0f1, 2, 0, false, "(acb_bessel_j_0f1 n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_j_asymp", a_bessel_j_asymp, 2, 0, false, "(acb_bessel_j_asymp n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_i_scaled", a_bessel_i_scaled, 2, 0, false, "(acb_bessel_i_scaled n x)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_k_scaled", a_bessel_k_scaled, 2, 0, false, "(acb_bessel_k_scaled n x)", acci_sig);
s7_define_typed_function(sc, "acb_expint", a_expint, 2, 0, false, "(acb_expint n x)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_pi", a_elliptic_pi, 2, 0, false, "(acb_elliptic_pi)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_p", a_elliptic_p, 2, 0, false, "(acb_elliptic_p)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_zeta", a_elliptic_zeta, 2, 0, false, "(acb_elliptic_zeta)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_sigma", a_elliptic_sigma, 2, 0, false, "(acb_elliptic_sigma)", acci_sig);
s7_define_typed_function(sc, "acb_elliptic_inv_p", a_elliptic_inv_p, 2, 0, false, "(acb_elliptic_inv_p)", acci_sig);
s7_define_typed_function(sc, "acb_hurwitz_zeta", a_hurwitz_zeta, 2, 0, false, "(acb_hurwitz_zeta)", acci_sig);
s7_define_typed_function(sc, "acb_polygamma", a_polygamma, 2, 0, false, "(acb_polygamma)", acci_sig);
s7_define_typed_function(sc, "acb_polylog", a_polylog, 2, 0, false, "(acb_polylog)", acci_sig);
s7_define_typed_function(sc, "acb_agm", a_agm, 2, 0, false, "(acb_agm)", acci_sig);
s7_define_typed_function(sc, "acb_dilog_continuation", a_dilog_continuation, 2, 0, false, "(acb_dilog_continuation)", acci_sig);
s7_define_typed_function(sc, "acb_bessel_i_0f1", a_bessel_i_0f1, 3, 0, false, "(acb_bessel_i_0f1)", accii_sig);
s7_define_typed_function(sc, "acb_bessel_i_asymp", a_bessel_i_asymp, 3, 0, false, "(acb_bessel_i_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_bessel_k_0f1", a_bessel_k_0f1, 3, 0, false, "(acb_bessel_k_0f1)", accii_sig);
s7_define_typed_function(sc, "acb_bessel_k_asymp", a_bessel_k_asymp, 3, 0, false, "(acb_bessel_k_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_0f1_asymp", a_hypgeom_0f1_asymp, 3, 0, false, "(acb_hypgeom_0f1_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_0f1_direct", a_hypgeom_0f1_direct, 3, 0, false, "(acb_hypgeom_0f1_direct)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_0f1", a_hypgeom_0f1, 3, 0, false, "(acb_hypgeom_0f1)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_lower", a_gamma_lower, 3, 0, false, "(acb_gamma_lower)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper_asymp", a_gamma_upper_asymp, 3, 0, false, "(acb_gamma_upper_asymp)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper_1f1a", a_gamma_upper_1f1a, 3, 0, false, "(acb_gamma_upper_1f1a)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper_1f1b", a_gamma_upper_1f1b, 3, 0, false, "(acb_gamma_upper_1f1b)", accii_sig);
s7_define_typed_function(sc, "acb_gamma_upper", a_gamma_upper, 3, 0, false, "(acb_gamma_upper)", accii_sig);
s7_define_typed_function(sc, "acb_elliptic_e_inc", a_elliptic_e_inc, 3, 0, false, "(acb_elliptic_e_inc)", accii_sig);
s7_define_typed_function(sc, "acb_elliptic_f", a_elliptic_f, 3, 0, false, "(acb_elliptic_f)", accii_sig);
s7_define_typed_function(sc, "acb_hypgeom_u_1f1", a_hypgeom_u_1f1, 3, 0, false, "(acb_hypgeom_u_1f1)", accci_sig);
s7_define_typed_function(sc, "acb_hypgeom_u", a_hypgeom_u, 3, 0, false, "(acb_hypgeom_u)", accci_sig);
s7_define_typed_function(sc, "acb_gegenbauer_c", a_gegenbauer_c, 3, 0, false, "(acb_gegenbauer_c)", accci_sig);
s7_define_typed_function(sc, "acb_laguerre_l", a_laguerre_l, 3, 0, false, "(acb_laguerre_l)", accci_sig);
s7_define_typed_function(sc, "acb_hypgeom_m_asymp", a_hypgeom_m_asymp, 4, 0, false, "(acb_hypgeom_m_asymp)", acccii_sig);
s7_define_typed_function(sc, "acb_hypgeom_m_1f1", a_hypgeom_m_1f1, 4, 0, false, "(acb_hypgeom_m_1f1)", acccii_sig);
s7_define_typed_function(sc, "acb_hypgeom_m", a_hypgeom_m, 4, 0, false, "(acb_hypgeom_m)", acccii_sig);
s7_define_typed_function(sc, "acb_hypgeom_1f1", a_hypgeom_1f1, 4, 0, false, "(acb_hypgeom_1f1)", acccii_sig);
s7_define_typed_function(sc, "acb_beta_lower", a_hypgeom_beta_lower, 4, 0, false, "(acb_beta_lower)", acccii_sig);
s7_define_typed_function(sc, "acb_legendre_p", a_hypgeom_legendre_p, 4, 0, false, "(acb_legendre_p)", acccii_sig);
s7_define_typed_function(sc, "acb_legendre_q", a_hypgeom_legendre_q, 4, 0, false, "(acb_legendre_q)", acccii_sig);
s7_define_typed_function(sc, "acb_elliptic_rf", a_elliptic_rf, 4, 0, false, "(acb_elliptic_rf)", acccii_sig);
s7_define_typed_function(sc, "acb_elliptic_rg", a_elliptic_rg, 4, 0, false, "(acb_elliptic_rg)", acccii_sig);
s7_define_typed_function(sc, "acb_elliptic_pi_inc", a_elliptic_pi_inc, 4, 0, false, "(acb_elliptic_pi_inc)", acccii_sig);
s7_set_curlet(sc, old_curlet);
s7_set_shadow_rootlet(sc, old_shadow);
}
/* gcc -fPIC -c libarb_s7.c
* gcc libarb_s7.o -shared -o libarb_s7.so -lflint -larb
* this is the gmp version of s7
* repl
* > (load "libarb_s7.so" (inlet 'init_func 'libarb_s7_init))
* > (acb_bessel_j 0 1.0)
* 7.651976865579665514497175261026632209096E-1
*/
#if 0
;; src_ptr?
void acb_hypgeom_pfq(acb_t res, acb_srcptr a, slong p, acb_srcptr b, slong q, const acb_t z, int regularized, slong prec);
void acb_hypgeom_airy(acb_t ai, acb_t aip, acb_t bi, acb_t bip, const acb_t z, slong prec);
void acb_hypgeom_coulomb(acb_t F, acb_t G, acb_t Hpos, acb_t Hneg, const acb_t l, const acb_t eta, const acb_t z, slong prec);
void acb_hypgeom_fresnel(acb_t res1, acb_t res2, const acb_t z, int normalized, slong prec);
void acb_hypgeom_bessel_jy(acb_t res1, acb_t res2, const acb_t nu, const acb_t z, slong prec);
void acb_hypgeom_2f1(acb_t res, const acb_t a, const acb_t b, const acb_t c, const acb_t z, int regularized, slong prec);
void acb_elliptic_rj(acb_t res, const acb_t x, const acb_t y, const acb_t z, const acb_t p, int flags, slong prec);
;; fmpz?
void acb_lambertw(acb_t res, const acb_t z, const fmpz_t k, int flags, slong prec);
void acb_quadratic_roots_fmpz(acb_t r1, acb_t r2, const fmpz_t a, const fmpz_t b, const fmpz_t c, slong prec);
void acb_hypgeom_li(acb_t res, const acb_t z, int offset, slong prec);
void acb_chebyshev_t_ui(acb_t a, ulong n, const acb_t x, slong prec);
void acb_chebyshev_u_ui(acb_t a, ulong n, const acb_t x, slong prec);
void acb_chebyshev_t2_ui(acb_t a, acb_t b, ulong n, const acb_t x, slong prec);
void acb_chebyshev_u2_ui(acb_t a, acb_t b, ulong n, const acb_t x, slong prec);
#endif
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