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112 lines
3.0 KiB
C++
112 lines
3.0 KiB
C++
#include <boost/numeric/interval.hpp>
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#include <boost/numeric/interval/io.hpp>
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#include <boost/test/test_tools.hpp>
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typedef boost::numeric::interval<double> I;
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static double min(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(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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return 0;
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}
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