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Diffstat (limited to 'src/boost/libs/numeric/interval/test/mul.cpp')
-rw-r--r-- | src/boost/libs/numeric/interval/test/mul.cpp | 124 |
1 files changed, 124 insertions, 0 deletions
diff --git a/src/boost/libs/numeric/interval/test/mul.cpp b/src/boost/libs/numeric/interval/test/mul.cpp new file mode 100644 index 00000000..118acf32 --- /dev/null +++ b/src/boost/libs/numeric/interval/test/mul.cpp @@ -0,0 +1,124 @@ +/* Boost test/mul.cpp + * test multiplication, division, square and square root on some intervals + * + * Copyright 2002-2003 Guillaume Melquiond + * + * Distributed under 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/numeric/interval.hpp> +#include <boost/test/minimal.hpp> +#include "bugs.hpp" + +typedef boost::numeric::interval<double> I; + +static double min BOOST_PREVENT_MACRO_SUBSTITUTION (double a, double b, double c, double d) { + return (std::min)((std::min)(a, b), (std::min)(c, d)); +} + +static double max BOOST_PREVENT_MACRO_SUBSTITUTION (double a, double b, double c, double d) { + return (std::max)((std::max)(a, b), (std::max)(c, d)); +} + +static bool test_mul(double al, double au, double bl, double bu) { + I a(al, au), b(bl, bu); + I c = a * b; + return c.lower() == (min)(al*bl, al*bu, au*bl, au*bu) + && c.upper() == (max)(al*bl, al*bu, au*bl, au*bu); +} + +static bool test_mul1(double ac, double bl, double bu) { + I a(ac), b(bl, bu); + I c = ac * b; + I d = b * ac; + I e = a * b; + return equal(c, d) && equal(d, e); +} + +static bool test_div(double al, double au, double bl, double bu) { + I a(al, au), b(bl, bu); + I c = a / b; + return c.lower() == (min)(al/bl, al/bu, au/bl, au/bu) + && c.upper() == (max)(al/bl, al/bu, au/bl, au/bu); +} + +static bool test_div1(double al, double au, double bc) { + I a(al, au), b(bc); + I c = a / bc; + I d = a / b; + return equal(c, d); +} + +static bool test_div2(double ac, double bl, double bu) { + I a(ac), b(bl, bu); + I c = ac / b; + I d = a / b; + return equal(c, d); +} + +static bool test_square(double al, double au) { + I a(al, au); + I b = square(a); + I c = a * a; + return b.upper() == c.upper() && + (b.lower() == c.lower() || (c.lower() <= 0 && b.lower() == 0)); +} + +static bool test_sqrt(double al, double au) { + I a(al, au); + I b = square(sqrt(a)); + return subset(abs(a), b); +} + +int test_main(int, char*[]) { + BOOST_CHECK(test_mul(2, 3, 5, 7)); + BOOST_CHECK(test_mul(2, 3, -5, 7)); + BOOST_CHECK(test_mul(2, 3, -7, -5)); + BOOST_CHECK(test_mul(-2, 3, 5, 7)); + BOOST_CHECK(test_mul(-2, 3, -5, 7)); + BOOST_CHECK(test_mul(-2, 3, -7, -5)); + BOOST_CHECK(test_mul(-3, -2, 5, 7)); + BOOST_CHECK(test_mul(-3, -2, -5, 7)); + BOOST_CHECK(test_mul(-3, -2, -7, -5)); + + BOOST_CHECK(test_mul1(3, 5, 7)); + BOOST_CHECK(test_mul1(3, -5, 7)); + BOOST_CHECK(test_mul1(3, -7, -5)); + BOOST_CHECK(test_mul1(-3, 5, 7)); + BOOST_CHECK(test_mul1(-3, -5, 7)); + BOOST_CHECK(test_mul1(-3, -7, -5)); + + BOOST_CHECK(test_div(30, 42, 2, 3)); + BOOST_CHECK(test_div(30, 42, -3, -2)); + BOOST_CHECK(test_div(-30, 42, 2, 3)); + BOOST_CHECK(test_div(-30, 42, -3, -2)); + BOOST_CHECK(test_div(-42, -30, 2, 3)); + BOOST_CHECK(test_div(-42, -30, -3, -2)); + + BOOST_CHECK(test_div1(30, 42, 3)); + BOOST_CHECK(test_div1(30, 42, -3)); + BOOST_CHECK(test_div1(-30, 42, 3)); + BOOST_CHECK(test_div1(-30, 42, -3)); + BOOST_CHECK(test_div1(-42, -30, 3)); + BOOST_CHECK(test_div1(-42, -30, -3)); + + BOOST_CHECK(test_div2(30, 2, 3)); + BOOST_CHECK(test_div2(30, -3, -2)); + BOOST_CHECK(test_div2(-30, 2, 3)); + BOOST_CHECK(test_div2(-30, -3, -2)); + + BOOST_CHECK(test_square(2, 3)); + BOOST_CHECK(test_square(-2, 3)); + BOOST_CHECK(test_square(-3, 2)); + + BOOST_CHECK(test_sqrt(2, 3)); + BOOST_CHECK(test_sqrt(5, 7)); + BOOST_CHECK(test_sqrt(-1, 2)); + +# ifdef __BORLANDC__ + ::detail::ignore_warnings(); +# endif + return 0; +} |