// (C) Copyright John Maddock 2006. // Use, modification and distribution are subject to the // Boost Software License, Version 1.0. (See accompanying file // LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt) #include #include #include #include #include #include "mp_t.hpp" using namespace boost::math::tools; // // Force trunctation to float precision of input values: // we must ensure that the input values are exactly representable // in whatever type we are testing, or the output values will all // be thrown off: // float external_f; float force_truncate(const float* f) { external_f = *f; return external_f; } float truncate_to_float(mp_t r) { float f = boost::math::tools::real_cast(r); return force_truncate(&f); } // // Our generator takes two arguments, but the second is interpreted // as an instruction not a value, the second argument won't be placed // in the output matrix by class test_data, so we add our algorithmically // derived second argument to the output. // struct igamma_data_generator { boost::math::tuple operator()(mp_t a, mp_t x) { // very naively calculate spots: mp_t z; switch((int)real_cast(x)) { case 1: z = truncate_to_float((std::min)(mp_t(1), a/100)); break; case 2: z = truncate_to_float(a / 2); break; case 3: z = truncate_to_float((std::max)(0.9*a, a - 2)); break; case 4: z = a; break; case 5: z = truncate_to_float((std::min)(1.1*a, a + 2)); break; case 6: z = truncate_to_float(a * 2); break; case 7: z = truncate_to_float((std::max)(mp_t(100), a*100)); break; default: BOOST_ASSERT(0 == "Can't get here!!"); } //mp_t g = boost::math::tgamma(a); mp_t lg = boost::math::tgamma_lower(a, z); mp_t ug = boost::math::tgamma(a, z); mp_t rlg = boost::math::gamma_p(a, z); mp_t rug = boost::math::gamma_q(a, z); return boost::math::make_tuple(z, ug, rug, lg, rlg); } }; struct gamma_inverse_generator { boost::math::tuple operator()(const mp_t a, const mp_t p) { mp_t x1 = boost::math::gamma_p_inv(a, p); mp_t x2 = boost::math::gamma_q_inv(a, p); std::cout << "Inverse for " << a << " " << p << std::endl; return boost::math::make_tuple(x1, x2); } }; struct gamma_inverse_generator_a { boost::math::tuple operator()(const mp_t x, const mp_t p) { mp_t x1 = boost::math::gamma_p_inva(x, p); mp_t x2 = boost::math::gamma_q_inva(x, p); std::cout << "Inverse for " << x << " " << p << std::endl; return boost::math::make_tuple(x1, x2); } }; int main(int argc, char*argv []) { bool cont; std::string line; parameter_info arg1, arg2; test_data data; if((argc >= 2) && (std::strcmp(argv[1], "-inverse") == 0)) { std::cout << "Welcome.\n" "This program will generate spot tests for the inverse incomplete gamma function:\n" " gamma_p_inv(a, p) and gamma_q_inv(a, q)\n\n"; do{ get_user_parameter_info(arg1, "a"); get_user_parameter_info(arg2, "p"); data.insert(gamma_inverse_generator(), arg1, arg2); std::cout << "Any more data [y/n]?"; std::getline(std::cin, line); boost::algorithm::trim(line); cont = (line == "y"); }while(cont); } else if((argc >= 2) && (std::strcmp(argv[1], "-inverse_a") == 0)) { std::cout << "Welcome.\n" "This program will generate spot tests for the inverse incomplete gamma function:\n" " gamma_p_inva(a, p) and gamma_q_inva(a, q)\n\n"; do{ get_user_parameter_info(arg1, "x"); get_user_parameter_info(arg2, "p"); data.insert(gamma_inverse_generator_a(), arg1, arg2); std::cout << "Any more data [y/n]?"; std::getline(std::cin, line); boost::algorithm::trim(line); cont = (line == "y"); }while(cont); } else { arg2 = make_periodic_param(mp_t(1), mp_t(8), 7); arg2.type |= boost::math::tools::dummy_param; std::cout << "Welcome.\n" "This program will generate spot tests for the incomplete gamma function:\n" " gamma(a, z)\n\n"; do{ get_user_parameter_info(arg1, "a"); data.insert(igamma_data_generator(), arg1, arg2); std::cout << "Any more data [y/n]?"; std::getline(std::cin, line); boost::algorithm::trim(line); cont = (line == "y"); }while(cont); } std::cout << "Enter name of test data file [default=igamma_data.ipp]"; std::getline(std::cin, line); boost::algorithm::trim(line); if(line == "") line = "igamma_data.ipp"; std::ofstream ofs(line.c_str()); ofs << std::scientific << std::setprecision(40); write_code(ofs, data, "igamma_data"); return 0; }