double sph_bessel_jp_j(int l, double x) { //jp/j
long double jp,j,lx;
lx=1L*x;
j=sph_bessel(l,lx);
if(l==0)
jp=-sph_bessel(1,x);
else
jp=sph_bessel(l-1,x)-((l+1)/x)*j;
return jp/j;
}
int
main()
{
int n = 3;
double x = 4.5;
double jn = sph_bessel(n, x);
}
double sph_besselp(int l, double x) {
if(l==0)
return -sph_bessel(1,x);
else
return sph_bessel(l-1,x)-((l+1)/x)*sph_bessel(l,x);
}
int test_main(int, char* [])
{
int i;
TEST_POLICY_SF(tgamma(3.0));
TEST_POLICY_SF(tgamma1pm1(0.25));
TEST_POLICY_SF(lgamma(50.0));
TEST_POLICY_SF(lgamma(50.0, &i));
TEST_POLICY_SF(digamma(12.0));
TEST_POLICY_SF(tgamma_ratio(12.0, 13.5));
TEST_POLICY_SF(tgamma_delta_ratio(100.0, 0.25));
TEST_POLICY_SF(factorial<double>(8));
TEST_POLICY_SF(unchecked_factorial<double>(3));
TEST_POLICY_SF(double_factorial<double>(5));
TEST_POLICY_SF(rising_factorial(20.5, 5));
TEST_POLICY_SF(falling_factorial(10.2, 7));
TEST_POLICY_SF(tgamma(12.0, 13.0));
TEST_POLICY_SF(tgamma_lower(12.0, 13.0));
TEST_POLICY_SF(gamma_p(12.0, 13.0));
TEST_POLICY_SF(gamma_q(12.0, 15.0));
TEST_POLICY_SF(gamma_p_inv(12.0, 0.25));
TEST_POLICY_SF(gamma_q_inv(15.0, 0.25));
TEST_POLICY_SF(gamma_p_inva(12.0, 0.25));
TEST_POLICY_SF(gamma_q_inva(12.0, 0.25));
TEST_POLICY_SF(erf(2.5));
TEST_POLICY_SF(erfc(2.5));
TEST_POLICY_SF(erf_inv(0.25));
TEST_POLICY_SF(erfc_inv(0.25));
TEST_POLICY_SF(beta(12.0, 15.0));
TEST_POLICY_SF(beta(12.0, 15.0, 0.25));
TEST_POLICY_SF(betac(12.0, 15.0, 0.25));
TEST_POLICY_SF(ibeta(12.0, 15.0, 0.25));
TEST_POLICY_SF(ibetac(12.0, 15.0, 0.25));
TEST_POLICY_SF(ibeta_inv(12.0, 15.0, 0.25));
TEST_POLICY_SF(ibetac_inv(12.0, 15.0, 0.25));
TEST_POLICY_SF(ibeta_inva(12.0, 0.75, 0.25));
TEST_POLICY_SF(ibetac_inva(12.0, 0.75, 0.25));
TEST_POLICY_SF(ibeta_invb(12.0, 0.75, 0.25));
TEST_POLICY_SF(ibetac_invb(12.0, 0.75, 0.25));
TEST_POLICY_SF(gamma_p_derivative(12.0, 15.0));
TEST_POLICY_SF(ibeta_derivative(12.0, 15.75, 0.25));
TEST_POLICY_SF(fpclassify(12.0));
TEST_POLICY_SF(isfinite(12.0));
TEST_POLICY_SF(isnormal(12.0));
TEST_POLICY_SF(isnan(12.0));
TEST_POLICY_SF(isinf(12.0));
TEST_POLICY_SF(log1p(0.0025));
TEST_POLICY_SF(expm1(0.0025));
TEST_POLICY_SF(cbrt(30.0));
TEST_POLICY_SF(sqrt1pm1(0.0025));
TEST_POLICY_SF(powm1(1.0025, 12.0));
TEST_POLICY_SF(legendre_p(5, 0.75));
TEST_POLICY_SF(legendre_p(7, 3, 0.75));
TEST_POLICY_SF(legendre_q(5, 0.75));
TEST_POLICY_SF(legendre_next(2, 0.25, 12.0, 5.0));
TEST_POLICY_SF(legendre_next(2, 2, 0.25, 12.0, 5.0));
TEST_POLICY_SF(laguerre(5, 12.2));
TEST_POLICY_SF(laguerre(7, 3, 5.0));
TEST_POLICY_SF(laguerre_next(2, 5.0, 12.0, 5.0));
TEST_POLICY_SF(laguerre_next(5, 3, 5.0, 20.0, 10.0));
TEST_POLICY_SF(hermite(1, 2.0));
TEST_POLICY_SF(hermite_next(2, 2.0, 3.0, 2.0));
TEST_POLICY_SF(spherical_harmonic_r(5, 4, 0.75, 0.25));
TEST_POLICY_SF(spherical_harmonic_i(5, 4, 0.75, 0.25));
TEST_POLICY_SF(ellint_1(0.25));
TEST_POLICY_SF(ellint_1(0.25, 0.75));
TEST_POLICY_SF(ellint_2(0.25));
TEST_POLICY_SF(ellint_2(0.25, 0.75));
TEST_POLICY_SF(ellint_3(0.25, 0.75));
TEST_POLICY_SF(ellint_3(0.25, 0.125, 0.75));
TEST_POLICY_SF(ellint_rc(3.0, 5.0));
TEST_POLICY_SF(ellint_rd(2.0, 3.0, 4.0));
TEST_POLICY_SF(ellint_rf(2.0, 3.0, 4.0));
TEST_POLICY_SF(ellint_rj(2.0, 3.0, 5.0, 0.25));
TEST_POLICY_SF(hypot(5.0, 3.0));
TEST_POLICY_SF(sinc_pi(3.0));
TEST_POLICY_SF(sinhc_pi(2.0));
TEST_POLICY_SF(asinh(12.0));
TEST_POLICY_SF(acosh(5.0));
TEST_POLICY_SF(atanh(0.75));
TEST_POLICY_SF(sin_pi(5.0));
TEST_POLICY_SF(cos_pi(6.0));
TEST_POLICY_SF(cyl_neumann(2.0, 5.0));
TEST_POLICY_SF(cyl_neumann(2, 5.0));
TEST_POLICY_SF(cyl_bessel_j(2.0, 5.0));
TEST_POLICY_SF(cyl_bessel_j(2, 5.0));
TEST_POLICY_SF(cyl_bessel_i(3.0, 5.0));
TEST_POLICY_SF(cyl_bessel_i(3, 5.0));
TEST_POLICY_SF(cyl_bessel_k(3.0, 5.0));
TEST_POLICY_SF(cyl_bessel_k(3, 5.0));
TEST_POLICY_SF(sph_bessel(3, 5.0));
TEST_POLICY_SF(sph_bessel(3, 5));
TEST_POLICY_SF(sph_neumann(3, 5.0));
TEST_POLICY_SF(sph_neumann(3, 5));
return 0;
}
