instantiate.hpp

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   boost::math::ibetac(v1, v2, v3, pol);
   boost::math::ibeta_inv(v1, v2, v3, pol);
   boost::math::ibetac_inv(v1, v2, v3, pol);
   boost::math::ibeta_inva(v1, v2, v3, pol);
   boost::math::ibetac_inva(v1, v2, v3, pol);
   boost::math::ibeta_invb(v1, v2, v3, pol);
   boost::math::ibetac_invb(v1, v2, v3, pol);
   boost::math::gamma_p_derivative(v2, v3, pol);
   boost::math::ibeta_derivative(v1, v2, v3, pol);
   (boost::math::fpclassify)(v1);
   (boost::math::isfinite)(v1);
   (boost::math::isnormal)(v1);
   (boost::math::isnan)(v1);
   (boost::math::isinf)(v1);
   boost::math::log1p(v1, pol);
   boost::math::expm1(v1, pol);
   boost::math::cbrt(v1, pol);
   boost::math::sqrt1pm1(v1, pol);
   boost::math::powm1(v1, v2, pol);
   boost::math::legendre_p(1, v1, pol);
   boost::math::legendre_p(1, 0, v1, pol);
   boost::math::legendre_q(1, v1, pol);
   boost::math::legendre_next(2, v1, v2, v3);
   boost::math::legendre_next(2, 2, v1, v2, v3);
   boost::math::laguerre(1, v1, pol);
   boost::math::laguerre(2, 1, v1, pol);
   boost::math::laguerre_next(2, v1, v2, v3);
   boost::math::laguerre_next(2, 1, v1, v2, v3);
   boost::math::hermite(1, v1, pol);
   boost::math::hermite_next(2, v1, v2, v3);
   boost::math::spherical_harmonic_r(2, 1, v1, v2, pol);
   boost::math::spherical_harmonic_i(2, 1, v1, v2, pol);
   boost::math::ellint_1(v1, pol);
   boost::math::ellint_1(v1, v2, pol);
   boost::math::ellint_2(v1, pol);
   boost::math::ellint_2(v1, v2, pol);
   boost::math::ellint_3(v1, v2, pol);
   boost::math::ellint_3(v1, v2, v3, pol);
   boost::math::ellint_rc(v1, v2, pol);
   boost::math::ellint_rd(v1, v2, v3, pol);
   boost::math::ellint_rf(v1, v2, v3, pol);
   boost::math::ellint_rj(v1, v2, v3, v1, pol);
   boost::math::hypot(v1, v2, pol);
   boost::math::sinc_pi(v1, pol);
   boost::math::sinhc_pi(v1, pol);
   boost::math::asinh(v1, pol);
   boost::math::acosh(v1, pol);
   boost::math::atanh(v1, pol);
   boost::math::sin_pi(v1, pol);
   boost::math::cos_pi(v1, pol);
   boost::math::cyl_neumann(v1, v2, pol);
   boost::math::cyl_neumann(i, v2, pol);
   boost::math::cyl_bessel_j(v1, v2, pol);
   boost::math::cyl_bessel_j(i, v2, pol);
   boost::math::cyl_bessel_i(v1, v2, pol);
   boost::math::cyl_bessel_i(i, v2, pol);
   boost::math::cyl_bessel_k(v1, v2, pol);
   boost::math::cyl_bessel_k(i, v2, pol);
   boost::math::sph_bessel(i, v2, pol);
   boost::math::sph_bessel(i, 1, pol);
   boost::math::sph_neumann(i, v2, pol);
   boost::math::sph_neumann(i, i, pol);
   boost::math::expint(v1, pol);
   boost::math::expint(i, pol);
   boost::math::expint(i, v2, pol);
   boost::math::expint(i, i, pol);
   boost::math::zeta(v1, pol);
   boost::math::zeta(i, pol);
   //
   // These next functions are intended to be found via ADL:
   //
   BOOST_MATH_STD_USING
   trunc(v1, pol);
   itrunc(v1, pol);
   ltrunc(v1, pol);
   round(v1, pol);
   iround(v1, pol);
   lround(v1, pol);
   modf(v1, &v1, pol);
   modf(v1, &i, pol);
   modf(v1, &l, pol);
#ifdef BOOST_HAS_LONG_LONG
   using boost::math::lltrunc;
   using boost::math::llround;
   lltrunc(v1, pol);
   llround(v1, pol);
   modf(v1, &ll, pol);
#endif
   boost::math::pow<2>(v1, pol);
   boost::math::nextafter(v1, v1, pol);
   boost::math::float_next(v1, pol);
   boost::math::float_prior(v1, pol);
   boost::math::float_distance(v1, v1, pol);
   //
   // All over again with the versions in test::
   //
   test::tgamma(v1);
   test::tgamma1pm1(v1);
   test::lgamma(v1);
   test::lgamma(v1, &i);
   test::digamma(v1);
   test::tgamma_ratio(v1, v2);
   test::tgamma_delta_ratio(v1, v2);
   test::factorial<RealType>(i);
   test::unchecked_factorial<RealType>(i);
   i = test::max_factorial<RealType>::value;
   test::double_factorial<RealType>(i);
   test::rising_factorial(v1, i);
   test::falling_factorial(v1, i);
   test::tgamma(v1, v2);
   test::tgamma_lower(v1, v2);
   test::gamma_p(v1, v2);
   test::gamma_q(v1, v2);
   test::gamma_p_inv(v1, v2);
   test::gamma_q_inv(v1, v2);
   test::gamma_p_inva(v1, v2);
   test::gamma_q_inva(v1, v2);
   test::erf(v1);
   test::erfc(v1);
   test::erf_inv(v1);
   test::erfc_inv(v1);
   test::beta(v1, v2);
   test::beta(v1, v2, v3);
   test::betac(v1, v2, v3);
   test::ibeta(v1, v2, v3);
   test::ibetac(v1, v2, v3);
   test::ibeta_inv(v1, v2, v3);
   test::ibetac_inv(v1, v2, v3);
   test::ibeta_inva(v1, v2, v3);
   test::ibetac_inva(v1, v2, v3);
   test::ibeta_invb(v1, v2, v3);
   test::ibetac_invb(v1, v2, v3);
   test::gamma_p_derivative(v2, v3);
   test::ibeta_derivative(v1, v2, v3);
   (test::fpclassify)(v1);
   (test::isfinite)(v1);
   (test::isnormal)(v1);
   (test::isnan)(v1);
   (test::isinf)(v1);
   test::log1p(v1);
   test::expm1(v1);
   test::cbrt(v1);
   test::sqrt1pm1(v1);
   test::powm1(v1, v2);
   test::legendre_p(1, v1);
   test::legendre_p(1, 0, v1);
   test::legendre_q(1, v1);
   test::legendre_next(2, v1, v2, v3);
   test::legendre_next(2, 2, v1, v2, v3);
   test::laguerre(1, v1);
   test::laguerre(2, 1, v1);
   test::laguerre_next(2, v1, v2, v3);
   test::laguerre_next(2, 1, v1, v2, v3);
   test::hermite(1, v1);
   test::hermite_next(2, v1, v2, v3);
   test::spherical_harmonic_r(2, 1, v1, v2);
   test::spherical_harmonic_i(2, 1, v1, v2);
   test::ellint_1(v1);
   test::ellint_1(v1, v2);
   test::ellint_2(v1);
   test::ellint_2(v1, v2);
   test::ellint_3(v1, v2);
   test::ellint_3(v1, v2, v3);
   test::ellint_rc(v1, v2);
   test::ellint_rd(v1, v2, v3);
   test::ellint_rf(v1, v2, v3);
   test::ellint_rj(v1, v2, v3, v1);
   test::hypot(v1, v2);
   test::sinc_pi(v1);
   test::sinhc_pi(v1);
   test::asinh(v1);
   test::acosh(v1);
   test::atanh(v1);
   test::sin_pi(v1);
   test::cos_pi(v1);
   test::cyl_neumann(v1, v2);
   test::cyl_neumann(i, v2);
   test::cyl_bessel_j(v1, v2);
   test::cyl_bessel_j(i, v2);
   test::cyl_bessel_i(v1, v2);
   test::cyl_bessel_i(i, v2);
   test::cyl_bessel_k(v1, v2);
   test::cyl_bessel_k(i, v2);
   test::sph_bessel(i, v2);
   test::sph_bessel(i, 1);
   test::sph_neumann(i, v2);
   test::sph_neumann(i, i);
   test::expint(v1);
   test::expint(i);
   test::expint(i, v2);
   test::expint(i, i);
   test::zeta(v1);
   test::zeta(i);
   test::trunc(v1);
   test::itrunc(v1);
   test::ltrunc(v1);
   test::round(v1);
   test::iround(v1);
   test::lround(v1);
   test::modf(v1, &v1);
   test::modf(v1, &i);
   test::modf(v1, &l);
#ifdef BOOST_HAS_LONG_LONG
   test::lltrunc(v1);
   test::llround(v1);
   test::modf(v1, &ll);
#endif
   test::pow<2>(v1);
   test::nextafter(v1, v1);
   test::float_next(v1);
   test::float_prior(v1);
   test::float_distance(v1, v1);
#endif
}

template <class RealType>
void instantiate_mixed(RealType)
{
   using namespace boost;
   using namespace boost::math;
#ifndef BOOST_MATH_INSTANTIATE_MINIMUM
   int i = 1;
   long l = 1;
   short s = 1;
   float fr = 0.5F;
   double dr = 0.5;
#ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
   long double lr = 0.5L;
#else
   double lr = 0.5L;
#endif

   boost::math::tgamma(i);
   boost::math::tgamma1pm1(i);
   boost::math::lgamma(i);
   boost::math::lgamma(i, &i);
   boost::math::digamma(i);
   boost::math::tgamma_ratio(i, l);
   boost::math::tgamma_ratio(fr, lr);
   boost::math::tgamma_delta_ratio(i, s);
   boost::math::tgamma_delta_ratio(fr, lr);
   boost::math::rising_factorial(s, i);
   boost::math::falling_factorial(s, i);
   boost::math::tgamma(i, l);
   boost::math::tgamma(fr, lr);
   boost::math::tgamma_lower(i, s);
   boost::math::tgamma_lower(fr, lr);
   boost::math::gamma_p(i, s);
   boost::math::gamma_p(fr, lr);
   boost::math::gamma_q(i, s);
   boost::math::gamma_q(fr, lr);
   boost::math::gamma_p_inv(i, fr);
   boost::math::gamma_q_inv(s, fr);
   boost::math::gamma_p_inva(i, lr);
   boost::math::gamma_q_inva(i, lr);
   boost::math::erf(i);
   boost::math::erfc(i);
   boost::math::erf_inv(i);
   boost::math::erfc_inv(i);
   boost::math::beta(i, s);
   boost::math::beta(fr, lr);
   boost::math::beta(i, s, l);
   boost::math::beta(fr, dr, lr);
   boost::math::betac(l, i, s);
   boost::math::betac(fr, dr, lr);
   boost::math::ibeta(l, i, s);
   boost::math::ibeta(fr, dr, lr);
   boost::math::ibetac(l, i, s);
   boost::math::ibetac(fr, dr, lr);
   boost::math::ibeta_inv(l, s, i);
   boost::math::ibeta_inv(fr, dr, lr);
   boost::math::ibetac_inv(l, i, s);
   boost::math::ibetac_inv(fr, dr, lr);
   boost::math::ibeta_inva(l, i, s);
   boost::math::ibeta_inva(fr, dr, lr);
   boost::math::ibetac_inva(l, i, s);
   boost::math::ibetac_inva(fr, dr, lr);
   boost::math::ibeta_invb(l, i, s);
   boost::math::ibeta_invb(fr, dr, lr);
   boost::math::ibetac_invb(l, i, s);
   boost::math::ibetac_invb(fr, dr, lr);
   boost::math::gamma_p_derivative(i, l);
   boost::math::gamma_p_derivative(fr, lr);
   boost::math::ibeta_derivative(l, i, s);
   boost::math::ibeta_derivative(fr, dr, lr);
   (boost::math::fpclassify)(i);
   (boost::math::isfinite)(s);
   (boost::math::isnormal)(l);
   (boost::math::isnan)(i);