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104 lines
2.6 KiB
C++
104 lines
2.6 KiB
C++
/* Boost test/det.cpp
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* test protected and unprotected rounding on an unstable determinant
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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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#define size 8
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template<class I>
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void det(I (&mat)[size][size]) {
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for(int i = 0; i < size; i++)
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for(int j = 0; j < size; j++)
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mat[i][j] = I(1) / I(i + j + 1);
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for(int i = 0; i < size - 1; i++) {
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int m = i, n = i;
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typename I::base_type v = 0;
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for(int a = i; a < size; a++)
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for(int b = i; b < size; b++) {
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typename I::base_type w = abs(mat[a][b]).lower();
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if (w > v) { m = a; n = b; v = w; }
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}
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if (n != i)
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for(int a = 0; a < size; a++) {
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I t = mat[a][n];
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mat[a][n] = mat[a][i];
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mat[a][i] = t;
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}
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if (m != i)
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for(int b = i; b < size; b++) {
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I t = mat[m][b];
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mat[m][b] = mat[m][i];
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mat[m][i] = t;
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}
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if (((m + n) & 1) == 1) { };
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I c = mat[i][i];
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for(int j = i + 1; j < size; j++) {
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I f = mat[j][i] / c;
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for(int k = i; k < size; k++)
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mat[j][k] -= f * mat[i][k];
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}
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if (zero_in(c)) return;
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}
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}
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namespace my_namespace {
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using namespace boost;
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using namespace numeric;
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using namespace interval_lib;
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template<class T>
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struct variants {
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typedef interval<T> I_op;
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typedef typename change_rounding<I_op, save_state<rounded_arith_std<T> > >::type I_sp;
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typedef typename unprotect<I_op>::type I_ou;
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typedef typename unprotect<I_sp>::type I_su;
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typedef T type;
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};
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}
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template<class T>
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bool test() {
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typedef my_namespace::variants<double> types;
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types::I_op mat_op[size][size];
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types::I_sp mat_sp[size][size];
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types::I_ou mat_ou[size][size];
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types::I_su mat_su[size][size];
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det(mat_op);
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det(mat_sp);
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{ types::I_op::traits_type::rounding rnd; det(mat_ou); }
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{ types::I_sp::traits_type::rounding rnd; det(mat_su); }
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for(int i = 0; i < size; i++)
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for(int j = 0; j < size; j++) {
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typedef types::I_op I;
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I d_op = mat_op[i][j];
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I d_sp = mat_sp[i][j];
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I d_ou = mat_ou[i][j];
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I d_su = mat_su[i][j];
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if (!(equal(d_op, d_sp) && equal(d_sp, d_ou) && equal(d_ou, d_su)))
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return false;
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}
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return true;
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}
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int test_main(int, char *[]) {
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BOOST_CHECK(test<float>());
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BOOST_CHECK(test<double>());
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BOOST_CHECK(test<long double>());
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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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