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125 lines
3.4 KiB
C++
125 lines
3.4 KiB
C++
/* Boost test/mul.cpp
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* test multiplication, division, square and square root on some intervals
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*
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* Copyright 2002-2003 Guillaume Melquiond
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*
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* Distributed under the Boost Software License, Version 1.0.
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* (See accompanying file LICENSE_1_0.txt or
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* copy at http://www.boost.org/LICENSE_1_0.txt)
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*/
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#include <boost/numeric/interval.hpp>
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#include <boost/test/minimal.hpp>
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#include "bugs.hpp"
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typedef boost::numeric::interval<double> I;
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static double min BOOST_PREVENT_MACRO_SUBSTITUTION (double a, double b, double c, double d) {
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return (std::min)((std::min)(a, b), (std::min)(c, d));
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}
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static double max BOOST_PREVENT_MACRO_SUBSTITUTION (double a, double b, double c, double d) {
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return (std::max)((std::max)(a, b), (std::max)(c, d));
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}
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static bool test_mul(double al, double au, double bl, double bu) {
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I a(al, au), b(bl, bu);
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I c = a * b;
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return c.lower() == (min)(al*bl, al*bu, au*bl, au*bu)
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&& c.upper() == (max)(al*bl, al*bu, au*bl, au*bu);
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}
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static bool test_mul1(double ac, double bl, double bu) {
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I a(ac), b(bl, bu);
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I c = ac * b;
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I d = b * ac;
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I e = a * b;
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return equal(c, d) && equal(d, e);
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}
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static bool test_div(double al, double au, double bl, double bu) {
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I a(al, au), b(bl, bu);
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I c = a / b;
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return c.lower() == (min)(al/bl, al/bu, au/bl, au/bu)
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&& c.upper() == (max)(al/bl, al/bu, au/bl, au/bu);
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}
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static bool test_div1(double al, double au, double bc) {
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I a(al, au), b(bc);
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I c = a / bc;
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I d = a / b;
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return equal(c, d);
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}
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static bool test_div2(double ac, double bl, double bu) {
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I a(ac), b(bl, bu);
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I c = ac / b;
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I d = a / b;
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return equal(c, d);
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}
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static bool test_square(double al, double au) {
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I a(al, au);
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I b = square(a);
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I c = a * a;
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return b.upper() == c.upper() &&
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(b.lower() == c.lower() || (c.lower() <= 0 && b.lower() == 0));
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}
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static bool test_sqrt(double al, double au) {
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I a(al, au);
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I b = square(sqrt(a));
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return subset(abs(a), b);
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}
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int test_main(int, char*[]) {
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BOOST_CHECK(test_mul(2, 3, 5, 7));
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BOOST_CHECK(test_mul(2, 3, -5, 7));
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BOOST_CHECK(test_mul(2, 3, -7, -5));
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BOOST_CHECK(test_mul(-2, 3, 5, 7));
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BOOST_CHECK(test_mul(-2, 3, -5, 7));
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BOOST_CHECK(test_mul(-2, 3, -7, -5));
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BOOST_CHECK(test_mul(-3, -2, 5, 7));
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BOOST_CHECK(test_mul(-3, -2, -5, 7));
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BOOST_CHECK(test_mul(-3, -2, -7, -5));
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BOOST_CHECK(test_mul1(3, 5, 7));
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BOOST_CHECK(test_mul1(3, -5, 7));
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BOOST_CHECK(test_mul1(3, -7, -5));
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BOOST_CHECK(test_mul1(-3, 5, 7));
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BOOST_CHECK(test_mul1(-3, -5, 7));
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BOOST_CHECK(test_mul1(-3, -7, -5));
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BOOST_CHECK(test_div(30, 42, 2, 3));
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BOOST_CHECK(test_div(30, 42, -3, -2));
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BOOST_CHECK(test_div(-30, 42, 2, 3));
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BOOST_CHECK(test_div(-30, 42, -3, -2));
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BOOST_CHECK(test_div(-42, -30, 2, 3));
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BOOST_CHECK(test_div(-42, -30, -3, -2));
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BOOST_CHECK(test_div1(30, 42, 3));
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BOOST_CHECK(test_div1(30, 42, -3));
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BOOST_CHECK(test_div1(-30, 42, 3));
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BOOST_CHECK(test_div1(-30, 42, -3));
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BOOST_CHECK(test_div1(-42, -30, 3));
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BOOST_CHECK(test_div1(-42, -30, -3));
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BOOST_CHECK(test_div2(30, 2, 3));
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BOOST_CHECK(test_div2(30, -3, -2));
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BOOST_CHECK(test_div2(-30, 2, 3));
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BOOST_CHECK(test_div2(-30, -3, -2));
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BOOST_CHECK(test_square(2, 3));
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BOOST_CHECK(test_square(-2, 3));
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BOOST_CHECK(test_square(-3, 2));
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BOOST_CHECK(test_sqrt(2, 3));
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BOOST_CHECK(test_sqrt(5, 7));
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BOOST_CHECK(test_sqrt(-1, 2));
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# ifdef __BORLANDC__
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::detail::ignore_warnings();
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# endif
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return 0;
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}
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