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WSJT-X/boost/libs/math/tools/rational_tests.cpp

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// (C) Copyright John Maddock 2007.
// 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 <boost/random.hpp>
#include <boost/math/tools/rational.hpp>
#include <iostream>
#include <fstream>
#include "mp_t.hpp"
int main()
{
using namespace boost::math;
using namespace boost::math::tools;
std::cout << std::scientific << std::setprecision(40);
boost::mt19937 rnd;
boost::variate_generator<
boost::mt19937,
boost::uniform_int<> > gen(rnd, boost::uniform_int<>(1, 12));
for(unsigned i = 1; i < 12; ++i)
{
std::vector<int> coef;
for(unsigned j = 0; j < i; ++j)
{
coef.push_back(gen());
}
std::cout <<
" //\n"
" // Polynomials of order " << i-1 << "\n"
" //\n"
" static const U n" << i << "c[" << i << "] = { ";
for(unsigned j = 0; j < i; ++j)
{
if(j)
std::cout << ", ";
std::cout << coef[j];
}
std::cout << " };\n";
std::cout <<
" static const boost::array<U, " << i << "> n" << i << "a = { ";
for(unsigned j = 0; j < i; ++j)
{
if(j)
std::cout << ", ";
std::cout << coef[j];
}
std::cout << " };\n";
mp_t r1 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
mp_t r2 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
mp_t r3 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
mp_t r4 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
r1 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.125), i);
r2 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.25), i);
r3 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(0.75), i);
r4 = boost::math::tools::evaluate_even_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_even_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
if(i > 1)
{
r1 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.125), i);
r2 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.25), i);
r3 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(0.75), i);
r4 = boost::math::tools::evaluate_odd_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125), " << i << "),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25), " << i << "),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75), " << i << "),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3 << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_odd_polynomial(n" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4 << "L),\n"
" tolerance);\n\n";
}
r1 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
r2 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
r3 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
r4 = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
coef.clear();
for(unsigned j = 0; j < i; ++j)
{
coef.push_back(gen());
}
std::cout <<
" //\n"
" // Rational functions of order " << i-1 << "\n"
" //\n"
" static const U d" << i << "c[" << i << "] = { ";
for(unsigned j = 0; j < i; ++j)
{
if(j)
std::cout << ", ";
std::cout << coef[j];
}
std::cout << " };\n";
std::cout <<
" static const boost::array<U, " << i << "> d" << i << "a = { ";
for(unsigned j = 0; j < i; ++j)
{
if(j)
std::cout << ", ";
std::cout << coef[j];
}
std::cout << " };\n";
mp_t r1d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.125), i);
mp_t r2d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.25), i);
mp_t r3d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(0.75), i);
mp_t r4d = boost::math::tools::evaluate_polynomial(&coef[0], mp_t(1) - mp_t(1) / 64, i);
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125), " << i << "),\n"
" static_cast<T>(" << r1/r1d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25), " << i << "),\n"
" static_cast<T>(" << r2/r2d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75), " << i << "),\n"
" static_cast<T>(" << r3/r3d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f), " << i << "),\n"
" static_cast<T>(" << r4/r4d << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1/r1d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2/r2d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3/r3d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "c, d" << i << "c, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4/r4d << "L),\n"
" tolerance);\n\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.125)),\n"
" static_cast<T>(" << r1/r1d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.25)),\n"
" static_cast<T>(" << r2/r2d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(0.75)),\n"
" static_cast<T>(" << r3/r3d << "L),\n"
" tolerance);\n";
std::cout <<
" BOOST_CHECK_CLOSE(\n"
" boost::math::tools::evaluate_rational(n" << i << "a, d" << i << "a, static_cast<T>(1.0f - 1.0f/64.0f)),\n"
" static_cast<T>(" << r4/r4d << "L),\n"
" tolerance);\n\n";
}
return 0;
}
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