93 lines
2.8 KiB
C++
93 lines
2.8 KiB
C++
/*
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* Copyright Nick Thompson, 2019
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* Use, modification and distribution are subject to the
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* Boost Software License, Version 1.0. (See accompanying file
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* LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#include "math_unit_test.hpp"
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#include <numeric>
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#include <utility>
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#include <random>
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#include <cmath>
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#include <boost/core/demangle.hpp>
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#include <boost/math/special_functions/rsqrt.hpp>
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#include <boost/multiprecision/cpp_bin_float.hpp>
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#ifdef BOOST_HAS_FLOAT128
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#include <boost/multiprecision/float128.hpp>
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using boost::multiprecision::float128;
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#endif
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using boost::math::rsqrt;
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template<typename Real>
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void test_rsqrt()
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{
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std::cout << "Testing rsqrt on type " << boost::core::demangle(typeid(Real).name()) << "\n";
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using std::sqrt;
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Real x = std::numeric_limits<Real>::min();
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while (x < 10000*std::numeric_limits<Real>::epsilon()) {
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Real expected = 1/sqrt(x);
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Real computed = rsqrt(x);
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if(!CHECK_ULP_CLOSE(expected, computed, 2)) {
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std::cerr << " 1/sqrt(" << x << ") is computed incorrectly.\n";
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}
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x += std::numeric_limits<Real>::epsilon();
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}
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// x ~ 1:
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x = 1;
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while (x < 1 + 1000*std::numeric_limits<Real>::epsilon()) {
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Real expected = 1/sqrt(x);
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Real computed = rsqrt(x);
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if(!CHECK_ULP_CLOSE(expected, computed, 2)) {
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std::cerr << " 1/sqrt(" << x << ") is computed incorrectly.\n";
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}
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x += std::numeric_limits<Real>::epsilon();
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}
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// x ~ 1000:
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x = 1000;
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while (x < 1000 + 1000*1000*std::numeric_limits<Real>::epsilon()) {
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Real expected = 1/sqrt(x);
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Real computed = rsqrt(x);
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if(!CHECK_ULP_CLOSE(expected, computed, 2)) {
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std::cerr << " 1/sqrt(" << x << ") is computed incorrectly.\n";
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}
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x += 1000*std::numeric_limits<Real>::epsilon();
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}
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x = std::numeric_limits<Real>::infinity();
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Real expected = 1/sqrt(x);
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Real computed = rsqrt(x);
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if (!CHECK_ULP_CLOSE(expected, computed, 0)) {
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std::cerr << "Reciprocal square root of infinity not correctly computed.\n";
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}
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x = std::numeric_limits<Real>::max();
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expected = 1/sqrt(x);
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computed = rsqrt(x);
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if (!CHECK_EQUAL(expected, computed)) {
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std::cerr << "Reciprocal square root of std::numeric_limits<Real>::max() not correctly computed.\n";
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}
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if (!CHECK_NAN(rsqrt(std::numeric_limits<Real>::quiet_NaN()))) {
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std::cerr << "Reciprocal square root of std::numeric_limits<Real>::quiet_NaN() is not a NaN.\n";
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}
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}
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int main()
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{
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test_rsqrt<float>();
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test_rsqrt<double>();
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test_rsqrt<long double>();
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test_rsqrt<boost::multiprecision::cpp_bin_float_50>();
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test_rsqrt<boost::multiprecision::cpp_bin_float_100>();
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#ifdef BOOST_HAS_FLOAT128
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test_rsqrt<float128>();
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#endif
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return boost::math::test::report_errors();
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}
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