ceph/src/boost/libs/math/test/compile_test/instantiate.hpp

   1 //  Copyright John Maddock 2006.
   2 //  Copyright Paul A. Bristow 2007, 2010.
   3 //  Use, modification and distribution are subject to the
   4 //  Boost Software License, Version 1.0. (See accompanying file
   5 //  LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
   6
   7 #ifndef BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
   8 #define BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP
   9
  10 #ifndef BOOST_MATH_ASSERT_UNDEFINED_POLICY
  11 #  define BOOST_MATH_ASSERT_UNDEFINED_POLICY false
  12 #endif
  13
  14 #include <boost/math/distributions.hpp>
  15
  16 #include <boost/math/special_functions.hpp>
  17 #include <boost/math/concepts/distributions.hpp>
  18 #include <boost/concept_archetype.hpp>
  19
  20 #ifndef BOOST_MATH_INSTANTIATE_MINIMUM
  21
  22 typedef boost::math::policies::policy<boost::math::policies::promote_float<false>, boost::math::policies::promote_double<false> > test_policy;
  23
  24 namespace test{
  25
  26 BOOST_MATH_DECLARE_SPECIAL_FUNCTIONS(test_policy)
  27
  28 }
  29
  30 namespace dist_test{
  31
  32 BOOST_MATH_DECLARE_DISTRIBUTIONS(double, test_policy)
  33
  34 }
  35 #endif
  36
  37 #if !defined(TEST_GROUP_1) && !defined(TEST_GROUP_2) && !defined(TEST_GROUP_3) \
  38    && !defined(TEST_GROUP_4) && !defined(TEST_GROUP_5) && !defined(TEST_GROUP_6) \
  39    && !defined(TEST_GROUP_7) && !defined(TEST_GROUP_8) && !defined(TEST_GROUP_9)
  40 #  define TEST_GROUP_1
  41 #  define TEST_GROUP_2
  42 #  define TEST_GROUP_3
  43 #  define TEST_GROUP_4
  44 #  define TEST_GROUP_5
  45 #  define TEST_GROUP_6
  46 #  define TEST_GROUP_7
  47 #  define TEST_GROUP_8
  48 #  define TEST_GROUP_9
  49 #endif
  50
  51 template <class RealType>
  52 void instantiate(RealType)
  53 {
  54    using namespace boost;
  55    using namespace boost::math;
  56    using namespace boost::math::concepts;
  57 #ifdef TEST_GROUP_1
  58    function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
  59    function_requires<DistributionConcept<bernoulli_distribution<RealType> > >();
  60    function_requires<DistributionConcept<beta_distribution<RealType> > >();
  61    function_requires<DistributionConcept<binomial_distribution<RealType> > >();
  62    function_requires<DistributionConcept<cauchy_distribution<RealType> > >();
  63    function_requires<DistributionConcept<chi_squared_distribution<RealType> > >();
  64    function_requires<DistributionConcept<exponential_distribution<RealType> > >();
  65    function_requires<DistributionConcept<extreme_value_distribution<RealType> > >();
  66    function_requires<DistributionConcept<fisher_f_distribution<RealType> > >();
  67    function_requires<DistributionConcept<gamma_distribution<RealType> > >();
  68    function_requires<DistributionConcept<geometric_distribution<RealType> > >();
  69    function_requires<DistributionConcept<hypergeometric_distribution<RealType> > >();
  70    function_requires<DistributionConcept<hyperexponential_distribution<RealType> > >();
  71    function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType> > >();
  72    function_requires<DistributionConcept<inverse_gamma_distribution<RealType> > >();
  73    function_requires<DistributionConcept<inverse_gaussian_distribution<RealType> > >();
  74    function_requires<DistributionConcept<laplace_distribution<RealType> > >();
  75    function_requires<DistributionConcept<logistic_distribution<RealType> > >();
  76    function_requires<DistributionConcept<lognormal_distribution<RealType> > >();
  77    function_requires<DistributionConcept<negative_binomial_distribution<RealType> > >();
  78    function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType> > >();
  79    function_requires<DistributionConcept<non_central_beta_distribution<RealType> > >();
  80    function_requires<DistributionConcept<non_central_f_distribution<RealType> > >();
  81    function_requires<DistributionConcept<non_central_t_distribution<RealType> > >();
  82    function_requires<DistributionConcept<normal_distribution<RealType> > >();
  83    function_requires<DistributionConcept<pareto_distribution<RealType> > >();
  84    function_requires<DistributionConcept<poisson_distribution<RealType> > >();
  85    function_requires<DistributionConcept<rayleigh_distribution<RealType> > >();
  86    function_requires<DistributionConcept<students_t_distribution<RealType> > >();
  87    function_requires<DistributionConcept<skew_normal_distribution<RealType> > >();
  88    function_requires<DistributionConcept<triangular_distribution<RealType> > >();
  89    function_requires<DistributionConcept<uniform_distribution<RealType> > >();
  90    function_requires<DistributionConcept<weibull_distribution<RealType> > >();
  91 #endif
  92 #ifndef BOOST_MATH_INSTANTIATE_MINIMUM
  93 #ifdef TEST_GROUP_2
  94    function_requires<DistributionConcept<arcsine_distribution<RealType> > >();
  95    function_requires<DistributionConcept<bernoulli_distribution<RealType, test_policy> > >();
  96    function_requires<DistributionConcept<beta_distribution<RealType, test_policy> > >();
  97    function_requires<DistributionConcept<binomial_distribution<RealType, test_policy> > >();
  98    function_requires<DistributionConcept<cauchy_distribution<RealType, test_policy> > >();
  99    function_requires<DistributionConcept<chi_squared_distribution<RealType, test_policy> > >();
 100    function_requires<DistributionConcept<exponential_distribution<RealType, test_policy> > >();
 101    function_requires<DistributionConcept<extreme_value_distribution<RealType, test_policy> > >();
 102    function_requires<DistributionConcept<fisher_f_distribution<RealType, test_policy> > >();
 103    function_requires<DistributionConcept<gamma_distribution<RealType, test_policy> > >();
 104    function_requires<DistributionConcept<geometric_distribution<RealType, test_policy> > >();
 105    function_requires<DistributionConcept<hypergeometric_distribution<RealType, test_policy> > >();
 106    function_requires<DistributionConcept<inverse_chi_squared_distribution<RealType, test_policy> > >();
 107    function_requires<DistributionConcept<inverse_gamma_distribution<RealType, test_policy> > >();
 108    function_requires<DistributionConcept<inverse_gaussian_distribution<RealType, test_policy> > >();
 109    function_requires<DistributionConcept<laplace_distribution<RealType, test_policy> > >();
 110    function_requires<DistributionConcept<logistic_distribution<RealType, test_policy> > >();
 111    function_requires<DistributionConcept<lognormal_distribution<RealType, test_policy> > >();
 112    function_requires<DistributionConcept<negative_binomial_distribution<RealType, test_policy> > >();
 113    function_requires<DistributionConcept<non_central_chi_squared_distribution<RealType, test_policy> > >();
 114    function_requires<DistributionConcept<non_central_beta_distribution<RealType, test_policy> > >();
 115    function_requires<DistributionConcept<non_central_f_distribution<RealType, test_policy> > >();
 116    function_requires<DistributionConcept<non_central_t_distribution<RealType, test_policy> > >();
 117    function_requires<DistributionConcept<normal_distribution<RealType, test_policy> > >();
 118    function_requires<DistributionConcept<pareto_distribution<RealType, test_policy> > >();
 119    function_requires<DistributionConcept<poisson_distribution<RealType, test_policy> > >();
 120    function_requires<DistributionConcept<rayleigh_distribution<RealType, test_policy> > >();
 121    function_requires<DistributionConcept<skew_normal_distribution<RealType, test_policy> > >();
 122    function_requires<DistributionConcept<students_t_distribution<RealType, test_policy> > >();
 123    function_requires<DistributionConcept<triangular_distribution<RealType, test_policy> > >();
 124    function_requires<DistributionConcept<uniform_distribution<RealType, test_policy> > >();
 125    function_requires<DistributionConcept<weibull_distribution<RealType, test_policy> > >();
 126 #endif
 127 #ifdef TEST_GROUP_3
 128    function_requires<DistributionConcept<dist_test::arcsine > >();
 129    function_requires<DistributionConcept<dist_test::bernoulli > >();
 130    function_requires<DistributionConcept<dist_test::beta > >();
 131    function_requires<DistributionConcept<dist_test::binomial > >();
 132    function_requires<DistributionConcept<dist_test::cauchy > >();
 133    function_requires<DistributionConcept<dist_test::chi_squared > >();
 134    function_requires<DistributionConcept<dist_test::exponential > >();
 135    function_requires<DistributionConcept<dist_test::extreme_value > >();
 136    function_requires<DistributionConcept<dist_test::fisher_f > >();
 137    function_requires<DistributionConcept<dist_test::gamma > >();
 138    function_requires<DistributionConcept<dist_test::geometric > >();
 139    function_requires<DistributionConcept<dist_test::hypergeometric > >();
 140    function_requires<DistributionConcept<dist_test::inverse_chi_squared > >();
 141    function_requires<DistributionConcept<dist_test::inverse_gamma > >();
 142    function_requires<DistributionConcept<dist_test::inverse_gaussian > >();
 143    function_requires<DistributionConcept<dist_test::laplace > >();
 144    function_requires<DistributionConcept<dist_test::logistic > >();
 145    function_requires<DistributionConcept<dist_test::lognormal > >();
 146    function_requires<DistributionConcept<dist_test::negative_binomial > >();
 147    function_requires<DistributionConcept<dist_test::non_central_chi_squared > >();
 148    function_requires<DistributionConcept<dist_test::non_central_beta > >();
 149    function_requires<DistributionConcept<dist_test::non_central_f > >();
 150    function_requires<DistributionConcept<dist_test::non_central_t > >();
 151    function_requires<DistributionConcept<dist_test::normal > >();
 152    function_requires<DistributionConcept<dist_test::pareto > >();
 153    function_requires<DistributionConcept<dist_test::poisson > >();
 154    function_requires<DistributionConcept<dist_test::rayleigh > >();
 155    function_requires<DistributionConcept<dist_test::students_t > >();
 156    function_requires<DistributionConcept<dist_test::triangular > >();
 157    function_requires<DistributionConcept<dist_test::uniform > >();
 158    function_requires<DistributionConcept<dist_test::weibull > >();
 159    function_requires<DistributionConcept<dist_test::hypergeometric > >();
 160 #endif
 161 #endif
 162    int i = 1;
 163    // Deal with unused variable warnings:
 164    (void)i;
 165    RealType v1(0.5), v2(0.5), v3(0.5);
 166    boost::detail::dummy_constructor dc;
 167    boost::output_iterator_archetype<RealType> oi(dc);
 168 #ifdef TEST_GROUP_4
 169    boost::math::tgamma(v1);
 170    boost::math::tgamma1pm1(v1);
 171    boost::math::lgamma(v1);
 172    boost::math::lgamma(v1, &i);
 173    boost::math::digamma(v1);
 174    boost::math::trigamma(v1);
 175    boost::math::polygamma(i, v1);
 176    boost::math::tgamma_ratio(v1, v2);
 177    boost::math::tgamma_delta_ratio(v1, v2);
 178    boost::math::factorial<RealType>(i);
 179    boost::math::unchecked_factorial<RealType>(i);
 180    i = boost::math::max_factorial<RealType>::value;
 181    boost::math::double_factorial<RealType>(i);
 182    boost::math::rising_factorial(v1, i);
 183    boost::math::falling_factorial(v1, i);
 184    boost::math::tgamma(v1, v2);
 185    boost::math::tgamma_lower(v1, v2);
 186    boost::math::gamma_p(v1, v2);
 187    boost::math::gamma_q(v1, v2);
 188    boost::math::gamma_p_inv(v1, v2);
 189    boost::math::gamma_q_inv(v1, v2);
 190    boost::math::gamma_p_inva(v1, v2);
 191    boost::math::gamma_q_inva(v1, v2);
 192    boost::math::erf(v1);
 193    boost::math::erfc(v1);
 194    boost::math::erf_inv(v1);
 195    boost::math::erfc_inv(v1);
 196    boost::math::beta(v1, v2);
 197    boost::math::beta(v1, v2, v3);
 198    boost::math::betac(v1, v2, v3);
 199    boost::math::ibeta(v1, v2, v3);
 200    boost::math::ibetac(v1, v2, v3);
 201    boost::math::ibeta_inv(v1, v2, v3);
 202    boost::math::ibetac_inv(v1, v2, v3);
 203    boost::math::ibeta_inva(v1, v2, v3);
 204    boost::math::ibetac_inva(v1, v2, v3);
 205    boost::math::ibeta_invb(v1, v2, v3);
 206    boost::math::ibetac_invb(v1, v2, v3);
 207    boost::math::gamma_p_derivative(v2, v3);
 208    boost::math::ibeta_derivative(v1, v2, v3);
 209    boost::math::binomial_coefficient<RealType>(i, i);
 210    (boost::math::fpclassify)(v1);
 211    (boost::math::isfinite)(v1);
 212    (boost::math::isnormal)(v1);
 213    (boost::math::isnan)(v1);
 214    (boost::math::isinf)(v1);
 215    (boost::math::signbit)(v1);
 216    (boost::math::copysign)(v1, v2);
 217    (boost::math::changesign)(v1);
 218    (boost::math::sign)(v1);
 219    boost::math::log1p(v1);
 220    boost::math::expm1(v1);
 221    boost::math::cbrt(v1);
 222    boost::math::sqrt1pm1(v1);
 223    boost::math::powm1(v1, v2);
 224    boost::math::legendre_p(1, v1);
 225    boost::math::legendre_p(1, 0, v1);
 226    boost::math::legendre_q(1, v1);
 227    boost::math::legendre_p_prime(1, v1);
 228    boost::math::legendre_next(2, v1, v2, v3);
 229    boost::math::legendre_next(2, 2, v1, v2, v3);
 230    boost::math::laguerre(1, v1);
 231    boost::math::laguerre(2, 1, v1);
 232    boost::math::laguerre(2u, 1u, v1);
 233    boost::math::laguerre_next(2, v1, v2, v3);
 234    boost::math::laguerre_next(2, 1, v1, v2, v3);
 235    boost::math::hermite(1, v1);
 236    boost::math::hermite_next(2, v1, v2, v3);
 237    boost::math::chebyshev_next(v1, v2, v3);
 238    boost::math::chebyshev_t(1, v1);
 239    boost::math::chebyshev_u(1, v1);
 240    boost::math::chebyshev_t_prime(1, v1);
 241    boost::math::chebyshev_clenshaw_recurrence(&v1, 0, v2);
 242    boost::math::spherical_harmonic_r(2, 1, v1, v2);
 243    boost::math::spherical_harmonic_i(2, 1, v1, v2);
 244    boost::math::ellint_1(v1);
 245    boost::math::ellint_1(v1, v2);
 246    boost::math::ellint_2(v1);
 247    boost::math::ellint_2(v1, v2);
 248    boost::math::ellint_3(v1, v2);
 249    boost::math::ellint_3(v1, v2, v3);
 250    boost::math::ellint_d(v1);
 251    boost::math::ellint_d(v1, v2);
 252    boost::math::jacobi_zeta(v1, v2);
 253    boost::math::heuman_lambda(v1, v2);
 254    boost::math::ellint_rc(v1, v2);
 255    boost::math::ellint_rd(v1, v2, v3);
 256    boost::math::ellint_rf(v1, v2, v3);
 257    boost::math::ellint_rg(v1, v2, v3);
 258    boost::math::ellint_rj(v1, v2, v3, v1);
 259    boost::math::jacobi_elliptic(v1, v2, &v1, &v2);
 260    boost::math::jacobi_cd(v1, v2);
 261    boost::math::jacobi_cn(v1, v2);
 262    boost::math::jacobi_cs(v1, v2);
 263    boost::math::jacobi_dc(v1, v2);
 264    boost::math::jacobi_dn(v1, v2);
 265    boost::math::jacobi_ds(v1, v2);
 266    boost::math::jacobi_nc(v1, v2);
 267    boost::math::jacobi_nd(v1, v2);
 268    boost::math::jacobi_ns(v1, v2);
 269    boost::math::jacobi_sc(v1, v2);
 270    boost::math::jacobi_sd(v1, v2);
 271    boost::math::jacobi_sn(v1, v2);
 272    boost::math::hypot(v1, v2);
 273    boost::math::sinc_pi(v1);
 274    boost::math::sinhc_pi(v1);
 275    boost::math::asinh(v1);
 276    boost::math::acosh(v1);
 277    boost::math::atanh(v1);
 278    boost::math::sin_pi(v1);
 279    boost::math::cos_pi(v1);
 280    boost::math::cyl_neumann(v1, v2);
 281    boost::math::cyl_neumann(i, v2);
 282    boost::math::cyl_bessel_j(v1, v2);
 283    boost::math::cyl_bessel_j(i, v2);
 284    boost::math::cyl_bessel_i(v1, v2);
 285    boost::math::cyl_bessel_i(i, v2);
 286    boost::math::cyl_bessel_k(v1, v2);
 287    boost::math::cyl_bessel_k(i, v2);
 288    boost::math::sph_bessel(i, v2);
 289    boost::math::sph_bessel(i, 1);
 290    boost::math::sph_neumann(i, v2);
 291    boost::math::sph_neumann(i, i);
 292    boost::math::cyl_neumann_prime(v1, v2);
 293    boost::math::cyl_neumann_prime(i, v2);
 294    boost::math::cyl_bessel_j_prime(v1, v2);
 295    boost::math::cyl_bessel_j_prime(i, v2);
 296    boost::math::cyl_bessel_i_prime(v1, v2);
 297    boost::math::cyl_bessel_i_prime(i, v2);
 298    boost::math::cyl_bessel_k_prime(v1, v2);
 299    boost::math::cyl_bessel_k_prime(i, v2);
 300    boost::math::sph_bessel_prime(i, v2);
 301    boost::math::sph_bessel_prime(i, 1);
 302    boost::math::sph_neumann_prime(i, v2);
 303    boost::math::sph_neumann_prime(i, i);
 304    boost::math::cyl_bessel_j_zero(v1, i);
 305    boost::math::cyl_bessel_j_zero(v1, i, i, oi);
 306    boost::math::cyl_neumann_zero(v1, i);
 307    boost::math::cyl_neumann_zero(v1, i, i, oi);
 308    boost::math::lambert_w0(v1);
 309    boost::math::lambert_wm1(v1);
 310    boost::math::lambert_w0_prime(v1);
 311 #ifdef TEST_COMPLEX
 312    boost::math::cyl_hankel_1(v1, v2);
 313    boost::math::cyl_hankel_1(i, v2);
 314    boost::math::cyl_hankel_2(v1, v2);
 315    boost::math::cyl_hankel_2(i, v2);
 316    boost::math::sph_hankel_1(v1, v2);
 317    boost::math::sph_hankel_1(i, v2);
 318    boost::math::sph_hankel_2(v1, v2);
 319    boost::math::sph_hankel_2(i, v2);
 320 #endif
 321    boost::math::airy_ai(v1);
 322    boost::math::airy_bi(v1);
 323    boost::math::airy_ai_prime(v1);
 324    boost::math::airy_bi_prime(v1);
 325
 326    boost::math::airy_ai_zero<RealType>(i);
 327    boost::math::airy_bi_zero<RealType>(i);
 328    boost::math::airy_ai_zero<RealType>(i, i, oi);
 329    boost::math::airy_bi_zero<RealType>(i, i, oi);
 330
 331    boost::math::hypergeometric_1F0(v1, v2);
 332    boost::math::hypergeometric_0F1(v1, v2);
 333    boost::math::hypergeometric_2F0(v1, v2, v3);
 334 #if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
 335    boost::math::hypergeometric_1F1(v1, v2, v3);
 336 #ifndef BOOST_NO_CXX11_HDR_INITIALIZER_LIST
 337    boost::math::hypergeometric_pFq({ v1 }, { v2 }, v3);
 338 #endif
 339 #endif
 340
 341    boost::math::expint(v1);
 342    boost::math::expint(i);
 343    boost::math::expint(i, v2);
 344    boost::math::expint(i, i);
 345    boost::math::zeta(v1);
 346    boost::math::zeta(i);
 347    boost::math::owens_t(v1, v2);
 348    boost::math::trunc(v1);
 349    boost::math::itrunc(v1);
 350    boost::math::ltrunc(v1);
 351    boost::math::round(v1);
 352    boost::math::iround(v1);
 353    boost::math::lround(v1);
 354    boost::math::modf(v1, &v1);
 355    boost::math::modf(v1, &i);
 356    long l;
 357    boost::math::modf(v1, &l);
 358 #ifdef BOOST_HAS_LONG_LONG
 359    boost::math::lltrunc(v1);
 360    boost::math::llround(v1);
 361    boost::long_long_type ll;
 362    boost::math::modf(v1, &ll);
 363 #endif
 364    boost::math::pow<2>(v1);
 365    boost::math::nextafter(v1, v1);
 366    boost::math::float_next(v1);
 367    boost::math::float_prior(v1);
 368    boost::math::float_distance(v1, v1);
 369    boost::math::ulp(v1);
 370    boost::math::relative_difference(v1, v2);
 371    boost::math::epsilon_difference(v1, v2);
 372
 373    boost::math::unchecked_bernoulli_b2n<RealType>(i);
 374    boost::math::bernoulli_b2n<RealType>(i);
 375    boost::math::bernoulli_b2n<RealType>(i, i, &v1);
 376    boost::math::tangent_t2n<RealType>(i);
 377    boost::math::tangent_t2n<RealType>(i, i, &v1);
 378
 379 #endif
 380 #ifdef TEST_GROUP_9
 381    //
 382    // Over again, but arguments may be expression templates:
 383    //
 384    boost::math::tgamma(v1 + 0);
 385    boost::math::tgamma1pm1(v1 + 0);
 386    boost::math::lgamma(v1 * 1);
 387    boost::math::lgamma(v1 * 1, &i);
 388    boost::math::digamma(v1 * 1);
 389    boost::math::trigamma(v1 * 1);
 390    boost::math::polygamma(i, v1 * 1);
 391    boost::math::tgamma_ratio(v1 * 1, v2 + 0);
 392    boost::math::tgamma_delta_ratio(v1 * 1, v2 + 0);
 393    boost::math::factorial<RealType>(i);
 394    boost::math::unchecked_factorial<RealType>(i);
 395    i = boost::math::max_factorial<RealType>::value;
 396    boost::math::double_factorial<RealType>(i);
 397    boost::math::rising_factorial(v1 * 1, i);
 398    boost::math::falling_factorial(v1 * 1, i);
 399    boost::math::tgamma(v1 * 1, v2 + 0);
 400    boost::math::tgamma_lower(v1 * 1, v2 - 0);
 401    boost::math::gamma_p(v1 * 1, v2 + 0);
 402    boost::math::gamma_q(v1 * 1, v2 + 0);
 403    boost::math::gamma_p_inv(v1 * 1, v2 + 0);
 404    boost::math::gamma_q_inv(v1 * 1, v2 + 0);
 405    boost::math::gamma_p_inva(v1 * 1, v2 + 0);
 406    boost::math::gamma_q_inva(v1 * 1, v2 + 0);
 407    boost::math::erf(v1 * 1);
 408    boost::math::erfc(v1 * 1);
 409    boost::math::erf_inv(v1 * 1);
 410    boost::math::erfc_inv(v1 * 1);
 411    boost::math::beta(v1 * 1, v2 + 0);
 412    boost::math::beta(v1 * 1, v2 + 0, v3 / 1);
 413    boost::math::betac(v1 * 1, v2 + 0, v3 / 1);
 414    boost::math::ibeta(v1 * 1, v2 + 0, v3 / 1);
 415    boost::math::ibetac(v1 * 1, v2 + 0, v3 / 1);
 416    boost::math::ibeta_inv(v1 * 1, v2 + 0, v3 / 1);
 417    boost::math::ibetac_inv(v1 * 1, v2 + 0, v3 / 1);
 418    boost::math::ibeta_inva(v1 * 1, v2 + 0, v3 / 1);
 419    boost::math::ibetac_inva(v1 * 1, v2 + 0, v3 / 1);
 420    boost::math::ibeta_invb(v1 * 1, v2 + 0, v3 / 1);
 421    boost::math::ibetac_invb(v1 * 1, v2 + 0, v3 / 1);
 422    boost::math::gamma_p_derivative(v2 * 1, v3 + 0);
 423    boost::math::ibeta_derivative(v1 * 1, v2 + 0, v3 / 1);
 424    (boost::math::fpclassify)(v1 * 1);
 425    (boost::math::isfinite)(v1 * 1);
 426    (boost::math::isnormal)(v1 * 1);
 427    (boost::math::isnan)(v1 * 1);
 428    (boost::math::isinf)(v1 * 1);
 429    (boost::math::signbit)(v1 * 1);
 430    (boost::math::copysign)(v1 * 1, v2 + 0);
 431    (boost::math::changesign)(v1 * 1);
 432    (boost::math::sign)(v1 * 1);
 433    boost::math::log1p(v1 * 1);
 434    boost::math::expm1(v1 * 1);
 435    boost::math::cbrt(v1 * 1);
 436    boost::math::sqrt1pm1(v1 * 1);
 437    boost::math::powm1(v1 * 1, v2 + 0);
 438    boost::math::legendre_p(1, v1 * 1);
 439    boost::math::legendre_p(1, 0, v1 * 1);
 440    boost::math::legendre_p_prime(1, v1 * 1);
 441    boost::math::legendre_q(1, v1 * 1);
 442    boost::math::legendre_next(2, v1 * 1, v2 + 0, v3 / 1);
 443    boost::math::legendre_next(2, 2, v1 * 1, v2 + 0, v3 / 1);
 444    boost::math::laguerre(1, v1 * 1);
 445    boost::math::laguerre(2, 1, v1 * 1);
 446    boost::math::laguerre(2u, 1u, v1 * 1);
 447    boost::math::laguerre_next(2, v1 * 1, v2 + 0, v3 / 1);
 448    boost::math::laguerre_next(2, 1, v1 * 1, v2 + 0, v3 / 1);
 449    boost::math::hermite(1, v1 * 1);
 450    boost::math::hermite_next(2, v1 * 1, v2 + 0, v3 / 1);
 451    boost::math::chebyshev_next(2 * v1, 1 + v2, 3 * v3);
 452    boost::math::chebyshev_t(1, 2 * v1);
 453    boost::math::chebyshev_u(1, 2 * v1);
 454    boost::math::chebyshev_t_prime(1, 2 * v1);
 455    boost::math::chebyshev_clenshaw_recurrence(&v1, 0, 2 * v2);
 456    boost::math::spherical_harmonic_r(2, 1, v1 * 1, v2 + 0);
 457    boost::math::spherical_harmonic_i(2, 1, v1 * 1, v2 + 0);
 458    boost::math::ellint_1(v1 * 1);
 459    boost::math::ellint_1(v1 * 1, v2 + 0);
 460    boost::math::ellint_2(v1 * 1);
 461    boost::math::ellint_2(v1 * 1, v2 + 0);
 462    boost::math::ellint_3(v1 * 1, v2 + 0);
 463    boost::math::ellint_3(v1 * 1, v2 + 0, v3 / 1);
 464    boost::math::ellint_rc(v1 * 1, v2 + 0);
 465    boost::math::ellint_rd(v1 * 1, v2 + 0, v3 / 1);
 466    boost::math::ellint_rf(v1 * 1, v2 + 0, v3 / 1);
 467    boost::math::ellint_rg(v1 * 1, v2 + 0, v3 / 1);
 468    boost::math::ellint_rj(v1 * 1, v2 + 0, v3 / 1, v1 * 1);
 469    boost::math::ellint_d(v1 * 1);
 470    boost::math::ellint_d(v1 * 1, v2 + 0);
 471    boost::math::jacobi_zeta(v1 * 1, v2 + 0);
 472    boost::math::heuman_lambda(v1 * 1, v2 + 0);
 473    boost::math::jacobi_elliptic(v1 * 1, v2 + 0, &v1, &v2);
 474    boost::math::jacobi_cd(v1 * 1, v2 + 0);
 475    boost::math::jacobi_cn(v1 * 1, v2 + 0);
 476    boost::math::jacobi_cs(v1 * 1, v2 + 0);
 477    boost::math::jacobi_dc(v1 * 1, v2 + 0);
 478    boost::math::jacobi_dn(v1 * 1, v2 + 0);
 479    boost::math::jacobi_ds(v1 * 1, v2 + 0);
 480    boost::math::jacobi_nc(v1 * 1, v2 + 0);
 481    boost::math::jacobi_nd(v1 * 1, v2 + 0);
 482    boost::math::jacobi_ns(v1 * 1, v2 + 0);
 483    boost::math::jacobi_sc(v1 * 1, v2 + 0);
 484    boost::math::jacobi_sd(v1 * 1, v2 + 0);
 485    boost::math::jacobi_sn(v1 * 1, v2 + 0);
 486    boost::math::hypot(v1 * 1, v2 + 0);
 487    boost::math::sinc_pi(v1 * 1);
 488    boost::math::sinhc_pi(v1 * 1);
 489    boost::math::asinh(v1 * 1);
 490    boost::math::acosh(v1 * 1);
 491    boost::math::atanh(v1 * 1);
 492    boost::math::sin_pi(v1 * 1);
 493    boost::math::cos_pi(v1 * 1);
 494    boost::math::cyl_neumann(v1 * 1, v2 + 0);
 495    boost::math::cyl_neumann(i, v2 * 1);
 496    boost::math::cyl_bessel_j(v1 * 1, v2 + 0);
 497    boost::math::cyl_bessel_j(i, v2 * 1);
 498    boost::math::cyl_bessel_i(v1 * 1, v2 + 0);
 499    boost::math::cyl_bessel_i(i, v2 * 1);
 500    boost::math::cyl_bessel_k(v1 * 1, v2 + 0);
 501    boost::math::cyl_bessel_k(i, v2 * 1);
 502    boost::math::sph_bessel(i, v2 * 1);
 503    boost::math::sph_bessel(i, 1);
 504    boost::math::sph_neumann(i, v2 * 1);
 505    boost::math::sph_neumann(i, i);
 506    boost::math::cyl_neumann_prime(v1 * 1, v2 + 0);
 507    boost::math::cyl_neumann_prime(i, v2 * 1);
 508    boost::math::cyl_bessel_j_prime(v1 * 1, v2 + 0);
 509    boost::math::cyl_bessel_j_prime(i, v2 * 1);
 510    boost::math::cyl_bessel_i_prime(v1 * 1, v2 + 0);
 511    boost::math::cyl_bessel_i_prime(i, v2 * 1);
 512    boost::math::cyl_bessel_k_prime(v1 * 1, v2 + 0);
 513    boost::math::cyl_bessel_k_prime(i, v2 * 1);
 514    boost::math::sph_bessel_prime(i, v2 * 1);
 515    boost::math::sph_bessel_prime(i, 1);
 516    boost::math::sph_neumann_prime(i, v2 * 1);
 517    boost::math::sph_neumann_prime(i, i);
 518    boost::math::cyl_bessel_j_zero(v1 * 1, i);
 519    boost::math::cyl_bessel_j_zero(v1 * 1, i, i, oi);
 520    boost::math::cyl_neumann_zero(v1 * 1, i);
 521    boost::math::cyl_neumann_zero(v1 * 1, i, i, oi);
 522    boost::math::lambert_w0(v1 * 1);
 523    boost::math::lambert_wm1(v1 * 1);
 524    boost::math::lambert_w0_prime(v1 * 1);
 525 #ifdef TEST_COMPLEX
 526    boost::math::cyl_hankel_1(v1, v2);
 527    boost::math::cyl_hankel_1(i, v2);
 528    boost::math::cyl_hankel_2(v1, v2);
 529    boost::math::cyl_hankel_2(i, v2);
 530    boost::math::sph_hankel_1(v1, v2);
 531    boost::math::sph_hankel_1(i, v2);
 532    boost::math::sph_hankel_2(v1, v2);
 533    boost::math::sph_hankel_2(i, v2);
 534 #endif
 535    boost::math::airy_ai(v1 * 1);
 536    boost::math::airy_bi(v1 * 1);
 537    boost::math::airy_ai_prime(v1 * 1);
 538    boost::math::airy_bi_prime(v1 * 1);
 539    boost::math::expint(v1 * 1);
 540    boost::math::expint(i);
 541    boost::math::expint(i, v2 * 1);
 542    boost::math::expint(i, i);
 543    boost::math::zeta(v1 * 1);
 544    boost::math::zeta(i);
 545    boost::math::owens_t(v1 * 1, v2 + 0);
 546    boost::math::trunc(v1 * 1);
 547    boost::math::itrunc(v1 * 1);
 548    boost::math::ltrunc(v1 * 1);
 549    boost::math::round(v1 * 1);
 550    boost::math::iround(v1 * 1);
 551    boost::math::lround(v1 * 1);
 552    //boost::math::modf(v1 * 1, &v1);
 553    //boost::math::modf(v1 * 1, &i);
 554    //long l;
 555    //boost::math::modf(v1 * 1, &l);
 556 #ifdef BOOST_HAS_LONG_LONG
 557    boost::math::lltrunc(v1 * 1);
 558    boost::math::llround(v1 * 1);
 559    //boost::long_long_type ll;
 560    //boost::math::modf(v1 * 1, &ll);
 561 #endif
 562    boost::math::pow<2>(v1 * 1);
 563    boost::math::nextafter(v1 * 1, v1 + 0);
 564    boost::math::float_next(v1 * 1);
 565    boost::math::float_prior(v1 * 1);
 566    boost::math::float_distance(v1 * 1, v1 * 1);
 567    boost::math::ulp(v1 * 1);
 568    boost::math::relative_difference(v1 * 1, v2 * 1);
 569    boost::math::epsilon_difference(v1 * 1, v2 * 1);
 570 #endif
 571 #ifndef BOOST_MATH_INSTANTIATE_MINIMUM
 572 #ifdef TEST_GROUP_5
 573    //
 574    // All over again, with a policy this time:
 575    //
 576    test_policy pol;
 577    boost::math::tgamma(v1, pol);
 578    boost::math::tgamma1pm1(v1, pol);
 579    boost::math::lgamma(v1, pol);
 580    boost::math::lgamma(v1, &i, pol);
 581    boost::math::digamma(v1, pol);
 582    boost::math::trigamma(v1, pol);
 583    boost::math::polygamma(i, v1, pol);
 584    boost::math::tgamma_ratio(v1, v2, pol);
 585    boost::math::tgamma_delta_ratio(v1, v2, pol);
 586    boost::math::factorial<RealType>(i, pol);
 587    boost::math::unchecked_factorial<RealType>(i);
 588    i = boost::math::max_factorial<RealType>::value;
 589    boost::math::double_factorial<RealType>(i, pol);
 590    boost::math::rising_factorial(v1, i, pol);
 591    boost::math::falling_factorial(v1, i, pol);
 592    boost::math::tgamma(v1, v2, pol);
 593    boost::math::tgamma_lower(v1, v2, pol);
 594    boost::math::gamma_p(v1, v2, pol);
 595    boost::math::gamma_q(v1, v2, pol);
 596    boost::math::gamma_p_inv(v1, v2, pol);
 597    boost::math::gamma_q_inv(v1, v2, pol);
 598    boost::math::gamma_p_inva(v1, v2, pol);
 599    boost::math::gamma_q_inva(v1, v2, pol);
 600    boost::math::erf(v1, pol);
 601    boost::math::erfc(v1, pol);
 602    boost::math::erf_inv(v1, pol);
 603    boost::math::erfc_inv(v1, pol);
 604    boost::math::beta(v1, v2, pol);
 605    boost::math::beta(v1, v2, v3, pol);
 606    boost::math::betac(v1, v2, v3, pol);
 607    boost::math::ibeta(v1, v2, v3, pol);
 608    boost::math::ibetac(v1, v2, v3, pol);
 609    boost::math::ibeta_inv(v1, v2, v3, pol);
 610    boost::math::ibetac_inv(v1, v2, v3, pol);
 611    boost::math::ibeta_inva(v1, v2, v3, pol);
 612    boost::math::ibetac_inva(v1, v2, v3, pol);
 613    boost::math::ibeta_invb(v1, v2, v3, pol);
 614    boost::math::ibetac_invb(v1, v2, v3, pol);
 615    boost::math::gamma_p_derivative(v2, v3, pol);
 616    boost::math::ibeta_derivative(v1, v2, v3, pol);
 617    boost::math::binomial_coefficient<RealType>(i, i, pol);
 618    boost::math::log1p(v1, pol);
 619    boost::math::expm1(v1, pol);
 620    boost::math::cbrt(v1, pol);
 621    boost::math::sqrt1pm1(v1, pol);
 622    boost::math::powm1(v1, v2, pol);
 623    boost::math::legendre_p(1, v1, pol);
 624    boost::math::legendre_p(1, 0, v1, pol);
 625    boost::math::legendre_p_prime(1, v1 * 1, pol);
 626    boost::math::legendre_q(1, v1, pol);
 627    boost::math::legendre_next(2, v1, v2, v3);
 628    boost::math::legendre_next(2, 2, v1, v2, v3);
 629    boost::math::laguerre(1, v1, pol);
 630    boost::math::laguerre(2, 1, v1, pol);
 631    boost::math::laguerre_next(2, v1, v2, v3);
 632    boost::math::laguerre_next(2, 1, v1, v2, v3);
 633    boost::math::hermite(1, v1, pol);
 634    boost::math::hermite_next(2, v1, v2, v3);
 635    boost::math::chebyshev_t(1, v1, pol);
 636    boost::math::chebyshev_u(1, v1, pol);
 637    boost::math::chebyshev_t_prime(1, v1, pol);
 638    boost::math::spherical_harmonic_r(2, 1, v1, v2, pol);
 639    boost::math::spherical_harmonic_i(2, 1, v1, v2, pol);
 640    boost::math::ellint_1(v1, pol);
 641    boost::math::ellint_1(v1, v2, pol);
 642    boost::math::ellint_2(v1, pol);
 643    boost::math::ellint_2(v1, v2, pol);
 644    boost::math::ellint_3(v1, v2, pol);
 645    boost::math::ellint_3(v1, v2, v3, pol);
 646    boost::math::ellint_d(v1, pol);
 647    boost::math::ellint_d(v1, v2, pol);
 648    boost::math::jacobi_zeta(v1, v2, pol);
 649    boost::math::heuman_lambda(v1, v2, pol);
 650    boost::math::ellint_rc(v1, v2, pol);
 651    boost::math::ellint_rd(v1, v2, v3, pol);
 652    boost::math::ellint_rf(v1, v2, v3, pol);
 653    boost::math::ellint_rg(v1, v2, v3, pol);
 654    boost::math::ellint_rj(v1, v2, v3, v1, pol);
 655    boost::math::jacobi_elliptic(v1, v2, &v1, &v2, pol);
 656    boost::math::jacobi_cd(v1, v2, pol);
 657    boost::math::jacobi_cn(v1, v2, pol);
 658    boost::math::jacobi_cs(v1, v2, pol);
 659    boost::math::jacobi_dc(v1, v2, pol);
 660    boost::math::jacobi_dn(v1, v2, pol);
 661    boost::math::jacobi_ds(v1, v2, pol);
 662    boost::math::jacobi_nc(v1, v2, pol);
 663    boost::math::jacobi_nd(v1, v2, pol);
 664    boost::math::jacobi_ns(v1, v2, pol);
 665    boost::math::jacobi_sc(v1, v2, pol);
 666    boost::math::jacobi_sd(v1, v2, pol);
 667    boost::math::jacobi_sn(v1, v2, pol);
 668    boost::math::hypot(v1, v2, pol);
 669    boost::math::sinc_pi(v1, pol);
 670    boost::math::sinhc_pi(v1, pol);
 671    boost::math::asinh(v1, pol);
 672    boost::math::acosh(v1, pol);
 673    boost::math::atanh(v1, pol);
 674    boost::math::sin_pi(v1, pol);
 675    boost::math::cos_pi(v1, pol);
 676    boost::math::cyl_neumann(v1, v2, pol);
 677    boost::math::cyl_neumann(i, v2, pol);
 678    boost::math::cyl_bessel_j(v1, v2, pol);
 679    boost::math::cyl_bessel_j(i, v2, pol);
 680    boost::math::cyl_bessel_i(v1, v2, pol);
 681    boost::math::cyl_bessel_i(i, v2, pol);
 682    boost::math::cyl_bessel_k(v1, v2, pol);
 683    boost::math::cyl_bessel_k(i, v2, pol);
 684    boost::math::sph_bessel(i, v2, pol);
 685    boost::math::sph_bessel(i, 1, pol);
 686    boost::math::sph_neumann(i, v2, pol);
 687    boost::math::sph_neumann(i, i, pol);
 688    boost::math::cyl_neumann_prime(v1, v2, pol);
 689    boost::math::cyl_neumann_prime(i, v2, pol);
 690    boost::math::cyl_bessel_j_prime(v1, v2, pol);
 691    boost::math::cyl_bessel_j_prime(i, v2, pol);
 692    boost::math::cyl_bessel_i_prime(v1, v2, pol);
 693    boost::math::cyl_bessel_i_prime(i, v2, pol);
 694    boost::math::cyl_bessel_k_prime(v1, v2, pol);
 695    boost::math::cyl_bessel_k_prime(i, v2, pol);
 696    boost::math::sph_bessel_prime(i, v2, pol);
 697    boost::math::sph_bessel_prime(i, 1, pol);
 698    boost::math::sph_neumann_prime(i, v2, pol);
 699    boost::math::sph_neumann_prime(i, i, pol);
 700    boost::math::cyl_bessel_j_zero(v1, i, pol);
 701    boost::math::cyl_bessel_j_zero(v1, i, i, oi, pol);
 702    boost::math::cyl_neumann_zero(v1, i, pol);
 703    boost::math::cyl_neumann_zero(v1, i, i, oi, pol);
 704    boost::math::lambert_w0(v1, pol);
 705    boost::math::lambert_wm1(v1, pol);
 706    boost::math::lambert_w0_prime(v1, pol);
 707 #ifdef TEST_COMPLEX
 708    boost::math::cyl_hankel_1(v1, v2, pol);
 709    boost::math::cyl_hankel_1(i, v2, pol);
 710    boost::math::cyl_hankel_2(v1, v2, pol);
 711    boost::math::cyl_hankel_2(i, v2, pol);
 712    boost::math::sph_hankel_1(v1, v2, pol);
 713    boost::math::sph_hankel_1(i, v2, pol);
 714    boost::math::sph_hankel_2(v1, v2, pol);
 715    boost::math::sph_hankel_2(i, v2, pol);
 716 #endif
 717    boost::math::airy_ai(v1, pol);
 718    boost::math::airy_bi(v1, pol);
 719    boost::math::airy_ai_prime(v1, pol);
 720    boost::math::airy_bi_prime(v1, pol);
 721
 722    boost::math::airy_ai_zero<RealType>(i, pol);
 723    boost::math::airy_bi_zero<RealType>(i, pol);
 724    boost::math::airy_ai_zero<RealType>(i, i, oi, pol);
 725    boost::math::airy_bi_zero<RealType>(i, i, oi, pol);
 726
 727    boost::math::hypergeometric_1F0(i, v2, pol);
 728    boost::math::hypergeometric_1F0(v1, i, pol);
 729    boost::math::hypergeometric_1F0(i, i, pol);
 730    boost::math::hypergeometric_0F1(i, v2, pol);
 731    boost::math::hypergeometric_0F1(v1, i, pol);
 732    boost::math::hypergeometric_0F1(i, i, pol);
 733    boost::math::hypergeometric_2F0(i, v2, v3, pol);
 734    boost::math::hypergeometric_2F0(v1, i, v3, pol);
 735    boost::math::hypergeometric_2F0(v1, v2, i, pol);
 736 #if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
 737    boost::math::hypergeometric_1F1(i, v2, v3, pol);
 738    boost::math::hypergeometric_1F1(v1, i, v3, pol);
 739    boost::math::hypergeometric_1F1(v1, v2, i, pol);
 740 #endif
 741
 742    boost::math::expint(v1, pol);
 743    boost::math::expint(i, pol);
 744    boost::math::expint(i, v2, pol);
 745    boost::math::expint(i, i, pol);
 746    boost::math::zeta(v1, pol);
 747    boost::math::zeta(i, pol);
 748    boost::math::owens_t(v1, v2, pol);
 749    //
 750    // These next functions are intended to be found via ADL:
 751    //
 752    BOOST_MATH_STD_USING
 753    trunc(v1, pol);
 754    itrunc(v1, pol);
 755    ltrunc(v1, pol);
 756    round(v1, pol);
 757    iround(v1, pol);
 758    lround(v1, pol);
 759    modf(v1, &v1, pol);
 760    modf(v1, &i, pol);
 761    modf(v1, &l, pol);
 762 #ifdef BOOST_HAS_LONG_LONG
 763    using boost::math::lltrunc;
 764    using boost::math::llround;
 765    lltrunc(v1, pol);
 766    llround(v1, pol);
 767    modf(v1, &ll, pol);
 768 #endif
 769    boost::math::pow<2>(v1, pol);
 770    boost::math::nextafter(v1, v1, pol);
 771    boost::math::float_next(v1, pol);
 772    boost::math::float_prior(v1, pol);
 773    boost::math::float_distance(v1, v1, pol);
 774    boost::math::ulp(v1, pol);
 775
 776    boost::math::bernoulli_b2n<RealType>(i, pol);
 777    boost::math::bernoulli_b2n<RealType>(i, i, &v1, pol);
 778    boost::math::tangent_t2n<RealType>(i, pol);
 779    boost::math::tangent_t2n<RealType>(i, i, &v1, pol);
 780 #endif
 781 #ifdef TEST_GROUP_6
 782    //
 783    // All over again with the versions in test::
 784    //
 785    test::tgamma(v1);
 786    test::tgamma1pm1(v1);
 787    test::lgamma(v1);
 788    test::lgamma(v1, &i);
 789    test::digamma(v1);
 790    test::trigamma(v1);
 791    test::polygamma(i, v1);
 792    test::tgamma_ratio(v1, v2);
 793    test::tgamma_delta_ratio(v1, v2);
 794    test::factorial<RealType>(i);
 795    test::unchecked_factorial<RealType>(i);
 796    i = test::max_factorial<RealType>::value;
 797    test::double_factorial<RealType>(i);
 798    test::rising_factorial(v1, i);
 799    test::falling_factorial(v1, i);
 800    test::tgamma(v1, v2);
 801    test::tgamma_lower(v1, v2);
 802    test::gamma_p(v1, v2);
 803    test::gamma_q(v1, v2);
 804    test::gamma_p_inv(v1, v2);
 805    test::gamma_q_inv(v1, v2);
 806    test::gamma_p_inva(v1, v2);
 807    test::gamma_q_inva(v1, v2);
 808    test::erf(v1);
 809    test::erfc(v1);
 810    test::erf_inv(v1);
 811    test::erfc_inv(v1);
 812    test::beta(v1, v2);
 813    test::beta(v1, v2, v3);
 814    test::betac(v1, v2, v3);
 815    test::ibeta(v1, v2, v3);
 816    test::ibetac(v1, v2, v3);
 817    test::ibeta_inv(v1, v2, v3);
 818    test::ibetac_inv(v1, v2, v3);
 819    test::ibeta_inva(v1, v2, v3);
 820    test::ibetac_inva(v1, v2, v3);
 821    test::ibeta_invb(v1, v2, v3);
 822    test::ibetac_invb(v1, v2, v3);
 823    test::gamma_p_derivative(v2, v3);
 824    test::ibeta_derivative(v1, v2, v3);
 825    test::binomial_coefficient<RealType>(i, i);
 826    (test::fpclassify)(v1);
 827    (test::isfinite)(v1);
 828    (test::isnormal)(v1);
 829    (test::isnan)(v1);
 830    (test::isinf)(v1);
 831    (test::signbit)(v1);
 832    (test::copysign)(v1, v2);
 833    (test::changesign)(v1);
 834    (test::sign)(v1);
 835    test::log1p(v1);
 836    test::expm1(v1);
 837    test::cbrt(v1);
 838    test::sqrt1pm1(v1);
 839    test::powm1(v1, v2);
 840    test::legendre_p(1, v1);
 841    test::legendre_p(1, 0, v1);
 842    test::legendre_p_prime(1, v1 * 1);
 843    test::legendre_q(1, v1);
 844    test::legendre_next(2, v1, v2, v3);
 845    test::legendre_next(2, 2, v1, v2, v3);
 846    test::laguerre(1, v1);
 847    test::laguerre(2, 1, v1);
 848    test::laguerre_next(2, v1, v2, v3);
 849    test::laguerre_next(2, 1, v1, v2, v3);
 850    test::hermite(1, v1);
 851    test::hermite_next(2, v1, v2, v3);
 852    test::chebyshev_next(v1, v2, v3);
 853    test::chebyshev_t(1, v1);
 854    test::chebyshev_u(1, v1);
 855    test::chebyshev_t_prime(1, v1);
 856    test::chebyshev_clenshaw_recurrence(&v1, 0, v2);
 857    test::spherical_harmonic_r(2, 1, v1, v2);
 858    test::spherical_harmonic_i(2, 1, v1, v2);
 859    test::ellint_1(v1);
 860    test::ellint_1(v1, v2);
 861    test::ellint_2(v1);
 862    test::ellint_2(v1, v2);
 863    test::ellint_3(v1, v2);
 864    test::ellint_3(v1, v2, v3);
 865    test::ellint_d(v1);
 866    test::ellint_d(v1, v2);
 867    test::jacobi_zeta(v1, v2);
 868    test::heuman_lambda(v1, v2);
 869    test::ellint_rc(v1, v2);
 870    test::ellint_rd(v1, v2, v3);
 871    test::ellint_rf(v1, v2, v3);
 872    test::ellint_rg(v1, v2, v3);
 873    test::ellint_rj(v1, v2, v3, v1);
 874    test::jacobi_elliptic(v1, v2, &v1, &v2);
 875    test::jacobi_cd(v1, v2);
 876    test::jacobi_cn(v1, v2);
 877    test::jacobi_cs(v1, v2);
 878    test::jacobi_dc(v1, v2);
 879    test::jacobi_dn(v1, v2);
 880    test::jacobi_ds(v1, v2);
 881    test::jacobi_nc(v1, v2);
 882    test::jacobi_nd(v1, v2);
 883    test::jacobi_ns(v1, v2);
 884    test::jacobi_sc(v1, v2);
 885    test::jacobi_sd(v1, v2);
 886    test::jacobi_sn(v1, v2);
 887    test::hypot(v1, v2);
 888    test::sinc_pi(v1);
 889    test::sinhc_pi(v1);
 890    test::asinh(v1);
 891    test::acosh(v1);
 892    test::atanh(v1);
 893    test::sin_pi(v1);
 894    test::cos_pi(v1);
 895    test::cyl_neumann(v1, v2);
 896    test::cyl_neumann(i, v2);
 897    test::cyl_bessel_j(v1, v2);
 898    test::cyl_bessel_j(i, v2);
 899    test::cyl_bessel_i(v1, v2);
 900    test::cyl_bessel_i(i, v2);
 901    test::cyl_bessel_k(v1, v2);
 902    test::cyl_bessel_k(i, v2);
 903    test::sph_bessel(i, v2);
 904    test::sph_bessel(i, 1);
 905    test::sph_neumann(i, v2);
 906    test::sph_neumann(i, i);
 907    test::cyl_neumann_prime(v1, v2);
 908    test::cyl_neumann_prime(i, v2);
 909    test::cyl_bessel_j_prime(v1, v2);
 910    test::cyl_bessel_j_prime(i, v2);
 911    test::cyl_bessel_i_prime(v1, v2);
 912    test::cyl_bessel_i_prime(i, v2);
 913    test::cyl_bessel_k_prime(v1, v2);
 914    test::cyl_bessel_k_prime(i, v2);
 915    test::sph_bessel_prime(i, v2);
 916    test::sph_bessel_prime(i, 1);
 917    test::sph_neumann_prime(i, v2);
 918    test::sph_neumann_prime(i, i);
 919    test::cyl_bessel_j_zero(v1, i);
 920    test::cyl_bessel_j_zero(v1, i, i, oi);
 921    test::cyl_neumann_zero(v1, i);
 922    test::cyl_neumann_zero(v1, i, i, oi);
 923    test::lambert_w0(v1);
 924    test::lambert_wm1(v1);
 925    test::lambert_w0_prime(v1);
 926 #ifdef TEST_COMPLEX
 927    test::cyl_hankel_1(v1, v2);
 928    test::cyl_hankel_1(i, v2);
 929    test::cyl_hankel_2(v1, v2);
 930    test::cyl_hankel_2(i, v2);
 931    test::sph_hankel_1(v1, v2);
 932    test::sph_hankel_1(i, v2);
 933    test::sph_hankel_2(v1, v2);
 934    test::sph_hankel_2(i, v2);
 935 #endif
 936    test::airy_ai(i);
 937    test::airy_bi(i);
 938    test::airy_ai_prime(i);
 939    test::airy_bi_prime(i);
 940
 941    test::airy_ai_zero<RealType>(i);
 942    test::airy_bi_zero<RealType>(i);
 943    test::airy_ai_zero<RealType>(i, i, oi);
 944    test::airy_bi_zero<RealType>(i, i, oi);
 945
 946    test::hypergeometric_1F0(v1, v2);
 947    test::hypergeometric_0F1(v1, v2);
 948    test::hypergeometric_2F0(v1, v1, v2);
 949 #if !defined(BOOST_NO_CXX11_AUTO_DECLARATIONS) && !defined(BOOST_NO_CXX11_LAMBDAS) && !defined(BOOST_NO_CXX11_UNIFIED_INITIALIZATION_SYNTAX) && !defined(BOOST_NO_CXX11_HDR_TUPLE)
 950    test::hypergeometric_1F1(v1, v2, v2);
 951 #endif
 952
 953    test::expint(v1);
 954    test::expint(i);
 955    test::expint(i, v2);
 956    test::expint(i, i);
 957    test::zeta(v1);
 958    test::zeta(i);
 959    test::owens_t(v1, v2);
 960    test::trunc(v1);
 961    test::itrunc(v1);
 962    test::ltrunc(v1);
 963    test::round(v1);
 964    test::iround(v1);
 965    test::lround(v1);
 966    test::modf(v1, &v1);
 967    test::modf(v1, &i);
 968    test::modf(v1, &l);
 969 #ifdef BOOST_HAS_LONG_LONG
 970    test::lltrunc(v1);
 971    test::llround(v1);
 972    test::modf(v1, &ll);
 973 #endif
 974    test::pow<2>(v1);
 975    test::nextafter(v1, v1);
 976    test::float_next(v1);
 977    test::float_prior(v1);
 978    test::float_distance(v1, v1);
 979    test::ulp(v1);
 980 #endif
 981 #endif
 982 }
 983
 984 template <class RealType>
 985 void instantiate_mixed(RealType)
 986 {
 987    using namespace boost;
 988    using namespace boost::math;
 989 #ifndef BOOST_MATH_INSTANTIATE_MINIMUM
 990    int i = 1;
 991    (void)i;
 992    long l = 1;
 993    (void)l;
 994    short s = 1;
 995    (void)s;
 996    float fr = 0.5F;
 997    (void)fr;
 998    double dr = 0.5;
 999    (void)dr;
1000 #ifndef BOOST_MATH_NO_LONG_DOUBLE_MATH_FUNCTIONS
1001    long double lr = 0.5L;
1002    (void)lr;
1003 #else
1004    double lr = 0.5L;
1005    (void)lr;
1006 #endif
1007 #ifdef TEST_GROUP_7
1008    boost::math::tgamma(i);
1009    boost::math::tgamma1pm1(i);
1010    boost::math::lgamma(i);
1011    boost::math::lgamma(i, &i);
1012    boost::math::digamma(i);
1013    boost::math::trigamma(i);
1014    boost::math::polygamma(i, i);
1015    boost::math::tgamma_ratio(i, l);
1016    boost::math::tgamma_ratio(fr, lr);
1017    boost::math::tgamma_delta_ratio(i, s);
1018    boost::math::tgamma_delta_ratio(fr, lr);
1019    boost::math::rising_factorial(s, i);
1020    boost::math::falling_factorial(s, i);
1021    boost::math::tgamma(i, l);
1022    boost::math::tgamma(fr, lr);
1023    boost::math::tgamma_lower(i, s);
1024    boost::math::tgamma_lower(fr, lr);
1025    boost::math::gamma_p(i, s);
1026    boost::math::gamma_p(fr, lr);
1027    boost::math::gamma_q(i, s);
1028    boost::math::gamma_q(fr, lr);
1029    boost::math::gamma_p_inv(i, fr);
1030    boost::math::gamma_q_inv(s, fr);
1031    boost::math::gamma_p_inva(i, lr);
1032    boost::math::gamma_q_inva(i, lr);
1033    boost::math::erf(i);
1034    boost::math::erfc(i);
1035    boost::math::erf_inv(i);
1036    boost::math::erfc_inv(i);
1037    boost::math::beta(i, s);
1038    boost::math::beta(fr, lr);
1039    boost::math::beta(i, s, l);
1040    boost::math::beta(fr, dr, lr);
1041    boost::math::betac(l, i, s);
1042    boost::math::betac(fr, dr, lr);
1043    boost::math::ibeta(l, i, s);
1044    boost::math::ibeta(fr, dr, lr);
1045    boost::math::ibetac(l, i, s);
1046    boost::math::ibetac(fr, dr, lr);
1047    boost::math::ibeta_inv(l, s, i);
1048    boost::math::ibeta_inv(fr, dr, lr);
1049    boost::math::ibetac_inv(l, i, s);
1050    boost::math::ibetac_inv(fr, dr, lr);
1051    boost::math::ibeta_inva(l, i, s);
1052    boost::math::ibeta_inva(fr, dr, lr);
1053    boost::math::ibetac_inva(l, i, s);
1054    boost::math::ibetac_inva(fr, dr, lr);
1055    boost::math::ibeta_invb(l, i, s);
1056    boost::math::ibeta_invb(fr, dr, lr);
1057    boost::math::ibetac_invb(l, i, s);
1058    boost::math::ibetac_invb(fr, dr, lr);
1059    boost::math::gamma_p_derivative(i, l);
1060    boost::math::gamma_p_derivative(fr, lr);
1061    boost::math::ibeta_derivative(l, i, s);
1062    boost::math::ibeta_derivative(fr, dr, lr);
1063    (boost::math::fpclassify)(i);
1064    (boost::math::isfinite)(s);
1065    (boost::math::isnormal)(l);
1066    (boost::math::isnan)(i);
1067    (boost::math::isinf)(l);
1068    boost::math::log1p(i);
1069    boost::math::expm1(s);
1070    boost::math::cbrt(l);
1071    boost::math::sqrt1pm1(s);
1072    boost::math::powm1(i, s);
1073    boost::math::powm1(fr, lr);
1074    //boost::math::legendre_p(1, i);
1075    boost::math::legendre_p(1, 0, s);
1076    boost::math::legendre_q(1, i);
1077    boost::math::laguerre(1, i);
1078    boost::math::laguerre(2, 1, i);
1079    boost::math::laguerre(2u, 1u, s);
1080    boost::math::hermite(1, s);
1081    boost::math::chebyshev_t(1, i);
1082    boost::math::chebyshev_u(1, i);
1083    boost::math::chebyshev_t_prime(1, i);
1084    boost::math::spherical_harmonic_r(2, 1, s, i);
1085    boost::math::spherical_harmonic_i(2, 1, fr, lr);
1086    boost::math::ellint_1(i);
1087    boost::math::ellint_1(i, s);
1088    boost::math::ellint_1(fr, lr);
1089    boost::math::ellint_2(i);
1090    boost::math::ellint_2(i, l);
1091    boost::math::ellint_2(fr, lr);
1092    boost::math::ellint_3(i, l);
1093    boost::math::ellint_3(fr, lr);
1094    boost::math::ellint_3(s, l, i);
1095    boost::math::ellint_3(fr, dr, lr);
1096    boost::math::ellint_d(i);
1097    boost::math::ellint_d(i, l);
1098    boost::math::ellint_d(fr, lr);
1099    boost::math::jacobi_zeta(i, l);
1100    boost::math::jacobi_zeta(fr, lr);
1101    boost::math::heuman_lambda(i, l);
1102    boost::math::heuman_lambda(fr, lr);
1103    boost::math::ellint_rc(i, s);
1104    boost::math::ellint_rc(fr, lr);
1105    boost::math::ellint_rd(s, i, l);
1106    boost::math::ellint_rd(fr, lr, dr);
1107    boost::math::ellint_rf(s, l, i);
1108    boost::math::ellint_rf(fr, dr, lr);
1109    boost::math::ellint_rg(s, l, i);
1110    boost::math::ellint_rg(fr, dr, lr);
1111    boost::math::ellint_rj(i, i, s, l);
1112    boost::math::ellint_rj(i, fr, dr, lr);
1113    boost::math::jacobi_cd(i, fr);
1114    boost::math::jacobi_cn(i, fr);
1115    boost::math::jacobi_cs(i, fr);
1116    boost::math::jacobi_dc(i, fr);
1117    boost::math::jacobi_dn(i, fr);
1118    boost::math::jacobi_ds(i, fr);
1119    boost::math::jacobi_nc(i, fr);
1120    boost::math::jacobi_nd(i, fr);
1121    boost::math::jacobi_ns(i, fr);
1122    boost::math::jacobi_sc(i, fr);
1123    boost::math::jacobi_sd(i, fr);
1124    boost::math::jacobi_sn(i, fr);
1125    boost::math::hypot(i, s);
1126    boost::math::hypot(fr, lr);
1127    boost::math::sinc_pi(i);
1128    boost::math::sinhc_pi(i);
1129    boost::math::asinh(s);
1130    boost::math::acosh(l);
1131    boost::math::atanh(l);
1132    boost::math::sin_pi(s);
1133    boost::math::cos_pi(s);
1134    boost::math::cyl_neumann(fr, dr);
1135    boost::math::cyl_neumann(i, s);
1136    boost::math::cyl_bessel_j(fr, lr);
1137    boost::math::cyl_bessel_j(i, s);
1138    boost::math::cyl_bessel_i(fr, lr);
1139    boost::math::cyl_bessel_i(i, s);
1140    boost::math::cyl_bessel_k(fr, lr);
1141    boost::math::cyl_bessel_k(i, s);
1142    boost::math::sph_bessel(i, fr);
1143    boost::math::sph_bessel(i, 1);
1144    boost::math::sph_neumann(i, lr);
1145    boost::math::sph_neumann(i, i);
1146    boost::math::cyl_neumann_prime(fr, dr);
1147    boost::math::cyl_neumann_prime(i, s);
1148    boost::math::cyl_bessel_j_prime(fr, lr);
1149    boost::math::cyl_bessel_j_prime(i, s);
1150    boost::math::cyl_bessel_i_prime(fr, lr);
1151    boost::math::cyl_bessel_i_prime(i, s);
1152    boost::math::cyl_bessel_k_prime(fr, lr);
1153    boost::math::cyl_bessel_k_prime(i, s);
1154    boost::math::sph_bessel_prime(i, fr);
1155    boost::math::sph_bessel_prime(i, 1);
1156    boost::math::sph_neumann_prime(i, lr);
1157    boost::math::sph_neumann_prime(i, i);
1158    boost::math::owens_t(fr, dr);
1159    boost::math::owens_t(i, s);
1160
1161    boost::math::policies::policy<> pol;
1162
1163
1164    boost::math::tgamma(i, pol);
1165    boost::math::tgamma1pm1(i, pol);
1166    boost::math::lgamma(i, pol);
1167    boost::math::lgamma(i, &i, pol);
1168    boost::math::digamma(i, pol);
1169    boost::math::trigamma(i, pol);
1170    boost::math::polygamma(i, i, pol);
1171    boost::math::tgamma_ratio(i, l, pol);
1172    boost::math::tgamma_ratio(fr, lr, pol);
1173    boost::math::tgamma_delta_ratio(i, s, pol);
1174    boost::math::tgamma_delta_ratio(fr, lr, pol);
1175    boost::math::rising_factorial(s, i, pol);
1176    boost::math::falling_factorial(s, i, pol);
1177    boost::math::tgamma(i, l, pol);
1178    boost::math::tgamma(fr, lr, pol);
1179    boost::math::tgamma_lower(i, s, pol);
1180    boost::math::tgamma_lower(fr, lr, pol);
1181    boost::math::gamma_p(i, s, pol);
1182    boost::math::gamma_p(fr, lr, pol);
1183    boost::math::gamma_q(i, s, pol);
1184    boost::math::gamma_q(fr, lr, pol);
1185    boost::math::gamma_p_inv(i, fr, pol);
1186    boost::math::gamma_q_inv(s, fr, pol);
1187    boost::math::gamma_p_inva(i, lr, pol);
1188    boost::math::gamma_q_inva(i, lr, pol);
1189    boost::math::erf(i, pol);
1190    boost::math::erfc(i, pol);
1191    boost::math::erf_inv(i, pol);
1192    boost::math::erfc_inv(i, pol);
1193    boost::math::beta(i, s, pol);
1194    boost::math::beta(fr, lr, pol);
1195    boost::math::beta(i, s, l, pol);
1196    boost::math::beta(fr, dr, lr, pol);
1197    boost::math::betac(l, i, s, pol);
1198    boost::math::betac(fr, dr, lr, pol);
1199    boost::math::ibeta(l, i, s, pol);
1200    boost::math::ibeta(fr, dr, lr, pol);
1201    boost::math::ibetac(l, i, s, pol);
1202    boost::math::ibetac(fr, dr, lr, pol);
1203    boost::math::ibeta_inv(l, s, i, pol);
1204    boost::math::ibeta_inv(fr, dr, lr, pol);
1205    boost::math::ibetac_inv(l, i, s, pol);
1206    boost::math::ibetac_inv(fr, dr, lr, pol);
1207    boost::math::ibeta_inva(l, i, s, pol);
1208    boost::math::ibeta_inva(fr, dr, lr, pol);
1209    boost::math::ibetac_inva(l, i, s, pol);
1210    boost::math::ibetac_inva(fr, dr, lr, pol);
1211    boost::math::ibeta_invb(l, i, s, pol);
1212    boost::math::ibeta_invb(fr, dr, lr, pol);
1213    boost::math::ibetac_invb(l, i, s, pol);
1214    boost::math::ibetac_invb(fr, dr, lr, pol);
1215    boost::math::gamma_p_derivative(i, l, pol);
1216    boost::math::gamma_p_derivative(fr, lr, pol);
1217    boost::math::ibeta_derivative(l, i, s, pol);
1218    boost::math::ibeta_derivative(fr, dr, lr, pol);
1219    boost::math::log1p(i, pol);
1220    boost::math::expm1(s, pol);
1221    boost::math::cbrt(l, pol);
1222    boost::math::sqrt1pm1(s, pol);
1223    boost::math::powm1(i, s, pol);
1224    boost::math::powm1(fr, lr, pol);
1225    //boost::math::legendre_p(1, i, pol);
1226    boost::math::legendre_p(1, 0, s, pol);
1227    boost::math::legendre_q(1, i, pol);
1228    boost::math::laguerre(1, i, pol);
1229    boost::math::laguerre(2, 1, i, pol);
1230    boost::math::laguerre(2u, 1u, s, pol);
1231    boost::math::hermite(1, s, pol);
1232    boost::math::chebyshev_t(1, i, pol);
1233    boost::math::chebyshev_u(1, i, pol);
1234    boost::math::chebyshev_t_prime(1, i, pol);
1235    boost::math::spherical_harmonic_r(2, 1, s, i, pol);
1236    boost::math::spherical_harmonic_i(2, 1, fr, lr, pol);
1237    boost::math::ellint_1(i, pol);
1238    boost::math::ellint_1(i, s, pol);
1239    boost::math::ellint_1(fr, lr, pol);
1240    boost::math::ellint_2(i, pol);
1241    boost::math::ellint_2(i, l, pol);
1242    boost::math::ellint_2(fr, lr, pol);
1243    boost::math::ellint_3(i, l, pol);
1244    boost::math::ellint_3(fr, lr, pol);
1245    boost::math::ellint_3(s, l, i, pol);
1246    boost::math::ellint_3(fr, dr, lr, pol);
1247    boost::math::ellint_d(i, pol);
1248    boost::math::ellint_d(i, l, pol);
1249    boost::math::ellint_d(fr, lr, pol);
1250    boost::math::jacobi_zeta(i, l, pol);
1251    boost::math::jacobi_zeta(fr, lr, pol);
1252    boost::math::heuman_lambda(i, l, pol);
1253    boost::math::heuman_lambda(fr, lr, pol);
1254    boost::math::ellint_rc(i, s, pol);
1255    boost::math::ellint_rc(fr, lr, pol);
1256    boost::math::ellint_rd(s, i, l, pol);
1257    boost::math::ellint_rd(fr, lr, dr, pol);
1258    boost::math::ellint_rf(s, l, i, pol);
1259    boost::math::ellint_rf(fr, dr, lr, pol);
1260    boost::math::ellint_rg(s, l, i, pol);
1261    boost::math::ellint_rg(fr, dr, lr, pol);
1262    boost::math::ellint_rj(i, i, s, l, pol);
1263    boost::math::ellint_rj(i, fr, dr, lr, pol);
1264    boost::math::jacobi_cd(i, fr, pol);
1265    boost::math::jacobi_cn(i, fr, pol);
1266    boost::math::jacobi_cs(i, fr, pol);
1267    boost::math::jacobi_dc(i, fr, pol);
1268    boost::math::jacobi_dn(i, fr, pol);
1269    boost::math::jacobi_ds(i, fr, pol);
1270    boost::math::jacobi_nc(i, fr, pol);
1271    boost::math::jacobi_nd(i, fr, pol);
1272    boost::math::jacobi_ns(i, fr, pol);
1273    boost::math::jacobi_sc(i, fr, pol);
1274    boost::math::jacobi_sd(i, fr, pol);
1275    boost::math::jacobi_sn(i, fr, pol);
1276    boost::math::hypot(i, s, pol);
1277    boost::math::hypot(fr, lr, pol);
1278    boost::math::sinc_pi(i, pol);
1279    boost::math::sinhc_pi(i, pol);
1280    boost::math::asinh(s, pol);
1281    boost::math::acosh(l, pol);
1282    boost::math::atanh(l, pol);
1283    boost::math::sin_pi(s, pol);
1284    boost::math::cos_pi(s, pol);
1285    boost::math::cyl_neumann(fr, dr, pol);
1286    boost::math::cyl_neumann(i, s, pol);
1287    boost::math::cyl_bessel_j(fr, lr, pol);
1288    boost::math::cyl_bessel_j(i, s, pol);
1289    boost::math::cyl_bessel_i(fr, lr, pol);
1290    boost::math::cyl_bessel_i(i, s, pol);
1291    boost::math::cyl_bessel_k(fr, lr, pol);
1292    boost::math::cyl_bessel_k(i, s, pol);
1293    boost::math::sph_bessel(i, fr, pol);
1294    boost::math::sph_bessel(i, 1, pol);
1295    boost::math::sph_neumann(i, lr, pol);
1296    boost::math::sph_neumann(i, i, pol);
1297    boost::math::cyl_neumann_prime(fr, dr, pol);
1298    boost::math::cyl_neumann_prime(i, s, pol);
1299    boost::math::cyl_bessel_j_prime(fr, lr, pol);
1300    boost::math::cyl_bessel_j_prime(i, s, pol);
1301    boost::math::cyl_bessel_i_prime(fr, lr, pol);
1302    boost::math::cyl_bessel_i_prime(i, s, pol);
1303    boost::math::cyl_bessel_k_prime(fr, lr, pol);
1304    boost::math::cyl_bessel_k_prime(i, s, pol);
1305    boost::math::sph_bessel_prime(i, fr, pol);
1306    boost::math::sph_bessel_prime(i, 1, pol);
1307    boost::math::sph_neumann_prime(i, lr, pol);
1308    boost::math::sph_neumann_prime(i, i, pol);
1309    boost::math::owens_t(fr, dr, pol);
1310    boost::math::owens_t(i, s, pol);
1311    boost::math::lambert_w0(i, pol);
1312    boost::math::lambert_wm1(i, pol);
1313    boost::math::lambert_w0_prime(i, pol);
1314 #endif
1315 #ifdef TEST_GROUP_8
1316    test::tgamma(i);
1317    test::tgamma1pm1(i);
1318    test::lgamma(i);
1319    test::lgamma(i, &i);
1320    test::digamma(i);
1321    test::trigamma(i);
1322    test::polygamma(i, i);
1323    test::tgamma_ratio(i, l);
1324    test::tgamma_ratio(fr, lr);
1325    test::tgamma_delta_ratio(i, s);
1326    test::tgamma_delta_ratio(fr, lr);
1327    test::rising_factorial(s, i);
1328    test::falling_factorial(s, i);
1329    test::tgamma(i, l);
1330    test::tgamma(fr, lr);
1331    test::tgamma_lower(i, s);
1332    test::tgamma_lower(fr, lr);
1333    test::gamma_p(i, s);
1334    test::gamma_p(fr, lr);
1335    test::gamma_q(i, s);
1336    test::gamma_q(fr, lr);
1337    test::gamma_p_inv(i, fr);
1338    test::gamma_q_inv(s, fr);
1339    test::gamma_p_inva(i, lr);
1340    test::gamma_q_inva(i, lr);
1341    test::erf(i);
1342    test::erfc(i);
1343    test::erf_inv(i);
1344    test::erfc_inv(i);
1345    test::beta(i, s);
1346    test::beta(fr, lr);
1347    test::beta(i, s, l);
1348    test::beta(fr, dr, lr);
1349    test::betac(l, i, s);
1350    test::betac(fr, dr, lr);
1351    test::ibeta(l, i, s);
1352    test::ibeta(fr, dr, lr);
1353    test::ibetac(l, i, s);
1354    test::ibetac(fr, dr, lr);
1355    test::ibeta_inv(l, s, i);
1356    test::ibeta_inv(fr, dr, lr);
1357    test::ibetac_inv(l, i, s);
1358    test::ibetac_inv(fr, dr, lr);
1359    test::ibeta_inva(l, i, s);
1360    test::ibeta_inva(fr, dr, lr);
1361    test::ibetac_inva(l, i, s);
1362    test::ibetac_inva(fr, dr, lr);
1363    test::ibeta_invb(l, i, s);
1364    test::ibeta_invb(fr, dr, lr);
1365    test::ibetac_invb(l, i, s);
1366    test::ibetac_invb(fr, dr, lr);
1367    test::gamma_p_derivative(i, l);
1368    test::gamma_p_derivative(fr, lr);
1369    test::ibeta_derivative(l, i, s);
1370    test::ibeta_derivative(fr, dr, lr);
1371    (test::fpclassify)(i);
1372    (test::isfinite)(s);
1373    (test::isnormal)(l);
1374    (test::isnan)(i);
1375    (test::isinf)(l);
1376    test::log1p(i);
1377    test::expm1(s);
1378    test::cbrt(l);
1379    test::sqrt1pm1(s);
1380    test::powm1(i, s);
1381    test::powm1(fr, lr);
1382    //test::legendre_p(1, i);
1383    test::legendre_p(1, 0, s);
1384    test::legendre_q(1, i);
1385    test::laguerre(1, i);
1386    test::laguerre(2, 1, i);
1387    test::laguerre(2u, 1u, s);
1388    test::hermite(1, s);
1389    test::chebyshev_t(1, i);
1390    test::chebyshev_u(1, i);
1391    test::chebyshev_t_prime(1, s);
1392    test::spherical_harmonic_r(2, 1, s, i);
1393    test::spherical_harmonic_i(2, 1, fr, lr);
1394    test::ellint_1(i);
1395    test::ellint_1(i, s);
1396    test::ellint_1(fr, lr);
1397    test::ellint_2(i);
1398    test::ellint_2(i, l);
1399    test::ellint_2(fr, lr);
1400    test::ellint_3(i, l);
1401    test::ellint_3(fr, lr);
1402    test::ellint_3(s, l, i);
1403    test::ellint_3(fr, dr, lr);
1404    test::ellint_d(i);
1405    test::ellint_d(i, l);
1406    test::ellint_d(fr, lr);
1407    test::jacobi_zeta(i, l);
1408    test::jacobi_zeta(fr, lr);
1409    test::heuman_lambda(i, l);
1410    test::heuman_lambda(fr, lr);
1411    test::ellint_rc(i, s);
1412    test::ellint_rc(fr, lr);
1413    test::ellint_rd(s, i, l);
1414    test::ellint_rd(fr, lr, dr);
1415    test::ellint_rf(s, l, i);
1416    test::ellint_rf(fr, dr, lr);
1417    test::ellint_rg(s, l, i);
1418    test::ellint_rg(fr, dr, lr);
1419    test::ellint_rj(i, i, s, l);
1420    test::ellint_rj(i, fr, dr, lr);
1421    test::hypot(i, s);
1422    test::hypot(fr, lr);
1423    test::sinc_pi(i);
1424    test::sinhc_pi(i);
1425    test::asinh(s);
1426    test::acosh(l);
1427    test::atanh(l);
1428    test::sin_pi(s);
1429    test::cos_pi(s);
1430    test::cyl_neumann(fr, dr);
1431    test::cyl_neumann(i, s);
1432    test::cyl_bessel_j(fr, lr);
1433    test::cyl_bessel_j(i, s);
1434    test::cyl_bessel_i(fr, lr);
1435    test::cyl_bessel_i(i, s);
1436    test::cyl_bessel_k(fr, lr);
1437    test::cyl_bessel_k(i, s);
1438    test::sph_bessel(i, fr);
1439    test::sph_bessel(i, 1);
1440    test::sph_neumann(i, lr);
1441    test::sph_neumann(i, i);
1442    test::cyl_neumann_prime(fr, dr);
1443    test::cyl_neumann_prime(i, s);
1444    test::cyl_bessel_j_prime(fr, lr);
1445    test::cyl_bessel_j_prime(i, s);
1446    test::cyl_bessel_i_prime(fr, lr);
1447    test::cyl_bessel_i_prime(i, s);
1448    test::cyl_bessel_k_prime(fr, lr);
1449    test::cyl_bessel_k_prime(i, s);
1450    test::sph_bessel_prime(i, fr);
1451    test::sph_bessel_prime(i, 1);
1452    test::sph_neumann_prime(i, lr);
1453    test::sph_neumann_prime(i, i);
1454    test::airy_ai(i);
1455    test::airy_bi(i);
1456    test::airy_ai_prime(i);
1457    test::airy_bi_prime(i);
1458    test::owens_t(fr, dr);
1459    test::owens_t(i, s);
1460    boost::math::lambert_w0(i);
1461    boost::math::lambert_wm1(i);
1462    boost::math::lambert_w0_prime(i);
1463 #endif
1464 #endif
1465 }
1466
1467
1468 #endif // BOOST_LIBS_MATH_TEST_INSTANTIATE_HPP