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C++ matrix template classe for mathematics.
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/*! @file
@id $Id$
*/
// 1 2 3 4 5 6 7 8
// 45678901234567890123456789012345678901234567890123456789012345678901234567890
#include <matrix.hxx>
#include <cppunit/TestFixture.h>
#include <cppunit/ui/text/TestRunner.h>
#include <cppunit/extensions/HelperMacros.h>
#include <cppunit/extensions/TestFactoryRegistry.h>
#include <cppunit/XmlOutputter.h>
#include <fstream>
class TemplateMatrixTest: public CppUnit::TestFixture {
public:
template<typename T>
void initFromArray1() {
const Matrix<T,2,4> m {1, 2, 3, 4,
5, 6, 7, 8};
Matrix<T,2,4> m2;
m2 = {1, 2, 3, 4,
5, 6, 7, 8};
CPPUNIT_ASSERT_EQUAL(m, m2);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray2() {
const Matrix<T,2,4> m(1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray3() {
const Matrix<T,2,4> m({1, 2, 3, 4,
5, 6, 7, 8});
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromOtherMatrix() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
m1[1][2] = 13;
Matrix<T,2,4> m2(m1);
m1[0][2] = 16;
m2[0][0] = 0;
Matrix<T,2,4> m3;
m3 = m2;
CPPUNIT_ASSERT_EQUAL(m2, m3);
CPPUNIT_ASSERT_EQUAL((T)1, m1[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m1[0][1]);
CPPUNIT_ASSERT_EQUAL((T)16, m1[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m1[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m1[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m1[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m1[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m1[1][3]);
CPPUNIT_ASSERT_EQUAL((T)0, m2[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m2[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m2[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m2[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m2[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m2[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m2[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m2[1][3]);
}
template<typename T>
void initFromDefault() {
const Matrix<T,2,2> m;
CPPUNIT_ASSERT_EQUAL((T)0, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][1]);
}
template<typename T>
void access() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
for (size_t row(0); row<2; ++row)
for (size_t column(0); column<4; ++column)
CPPUNIT_ASSERT_EQUAL(m1(row, column), m1[row][column]);
}
template<typename T>
void equality() {
Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m2(1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m3(1, 2, 3, 4,
5, 6, 7, 9);
Matrix<T,2,4> m4(9, 2, 3, 4,
5, 6, 7, 8);
Matrix<T,2,4> m5(1, 2, 0, 4,
5, 6, 7, 8);
Matrix<T,2,4> m6(-m1);
Matrix<T,2,4> m7(-1, -2, -3, -4,
-5, -6, -7, -8);
CPPUNIT_ASSERT_EQUAL(m7, m6);
CPPUNIT_ASSERT(m1==m2);
CPPUNIT_ASSERT(m1!=m3);
CPPUNIT_ASSERT(m1!=m4);
CPPUNIT_ASSERT(m1!=m5);
CPPUNIT_ASSERT(m1!=m6);
}
template<typename T>
void operator_plus() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T,2,4> m2(2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T,2,4> m(m1+m2);
const Matrix<T,2,4> res(3, 6, 9, 12,
6, 9, 12, 15);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void operator_minus() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T,2,4> m2(2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T,2,4> m(m1-m2);
const Matrix<T,2,4> res(-1, -2, -3, -4,
4, 3, 2, 1);
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL(res, -m2+m1);
}
template<typename T>
void scalar_mult() {
const Matrix<T,2,4> m1(1, 2, 3, 4,
5, 6, 7, 8);
T two(2), three(3), four(4), big(32);
CPPUNIT_ASSERT_EQUAL(m1*two, m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*three, m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*four, m1+m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(two*m1, m1*two);
CPPUNIT_ASSERT_EQUAL(three*m1, m1*three);
CPPUNIT_ASSERT_EQUAL(four*m1, m1*four);
CPPUNIT_ASSERT_EQUAL(two*m1*two, m1*four);
CPPUNIT_ASSERT_EQUAL(big*m1*four, m1*four*big);
}
template<typename T>
void scalar_div() {
const Matrix<T,2,4> m1(2, 4, 6, 8,
10, 12, 14, 16);
const Matrix<T,2,4> m2(1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL(m2, m1/(T)2);
CPPUNIT_ASSERT_EQUAL(m2, (T)3*m1/(T)6);
}
template<typename T>
void matrix_mult() {
const Matrix<T,2,3> m1(1, 2, 3,
4, 5, 6);
const Matrix<T,3,4> m2(1, 4, 7, 10,
2, 5, 8, 11,
3, 6, 9, 12);
const Matrix<T,2,4> m(m1*m2);
const Matrix<T,2,4> res(14, 32, 50, 68,
32, 77, 122, 167);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void transpose() {
const Matrix<T,2,3> m(1, 2, 3,
4, 5, 6);
const Matrix<T,3,2> res(1, 4,
2, 5,
3, 6);
CPPUNIT_ASSERT_EQUAL(res, m.t());
}
template<typename T>
void apply() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
Matrix<T,3,3> o(m);
CPPUNIT_ASSERT_EQUAL((T)3*o, m.apply([](T& t){t*=3;}));
}
template<typename T>
void norm() {
Matrix<T,3,3> m1(1, -1, 1,
-1, 1, -1,
1, 1, -1);
Matrix<T,3,3> m2(-1, 3, 2,
-2, 0, -3,
2, 1, -2);
Matrix<T,3,3> m3(0, 3, 0,
-1, 0, 2,
0, -3, 1);
CPPUNIT_ASSERT_DOUBLES_EQUAL(3.0, m1.norm(), 0.00001);
CPPUNIT_ASSERT_DOUBLES_EQUAL(6.0, m2.norm(), 0.00001);
CPPUNIT_ASSERT_DOUBLES_EQUAL(4.0, m3.norm(3), 0.00001);
}
template<typename T>
void gauss() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
const Matrix<T,3,3> res(1, -1, 2,
0, -1, -2,
0, 0, -6);
T lambda(m.gauss());
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL((T)2, lambda);
}
template<typename T>
void det() {
Matrix<T,3,3> m(2, -2, 4,
-2, 1, -6,
1, 0, -2);
CPPUNIT_ASSERT_EQUAL((T)12, m.det());
}
template<typename T>
void i() {
const Matrix<T,3,3> m1(1, 0, 0,
0, 1, 0,
0, 0, 1);
const Matrix<T,3,2> m2(1, 0,
0, 1,
0, 0);
const Matrix<T,2,3> m3(1, 0, 0,
0, 1, 0);
CPPUNIT_ASSERT_EQUAL(m1, m1.i());
CPPUNIT_ASSERT_EQUAL(m2, m2.i());
CPPUNIT_ASSERT_EQUAL(m3, m3.i());
}
template<typename T>
void inv() {
{
Matrix<T,3,3> m(2, -1, 0,
1, 2, -2,
0, -1, 1);
const Matrix<T,3,3> res(0, 1, 2,
-1, 2, 4,
-1, 2, 5);
Matrix<T,3,3> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 2, 3,
0, 1, 4,
5, 6, 0);
const Matrix<T,3,3> res(-24, 18, 5,
20, -15, -4,
-5, 4, 1);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 2, 3,
0, 4, 5,
1, 0, 6);
const Matrix<T,3,3> res((T)12/11, (T)-6/11, (T)-1/11,
(T)5/22, (T)3/22, (T)-5/22,
(T)-2/11, (T)1/11, (T)2/11);
Matrix<T,3,3> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(-2, 0, 1,
9, 2, -3,
5, 1, -2);
const Matrix<T,3,3> res(-1, 1, -2,
3, -1, 3,
-1, 2, -4);
Matrix<T,3,3> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,3,3> m(1, 3, 1,
1, 1, 2,
2, 3, 4);
const Matrix<T,3,3> res(2, 9, -5,
0, -2, 1,
-1, -3, 2);
Matrix<T,3,3> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,4,4> m(2, 1, 4, 1,
-1, 1, 0, 2,
0, 0, 2, 4,
2, -2, 0, 1);
const Matrix<T,4,4> res((T)1/3, (T)13/15, (T)-2/3, 0.6,
(T)1/3, (T)16/15, (T)-2/3, 0.2,
0, -0.8, 0.5, -0.4,
0, 0.4, 0, 0.2);
Matrix<T,4,4> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T,2,2> m(4, 3,
3, 2);
const Matrix<T,2,2> res(-2, 3,
3, -4);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
}
}
template<typename T>
void stream() {
const Matrix<T,3,4> m1(1, 2, 3, 4,
5, 6, 7, 8,
1, 4, 2, 8);
Matrix<T,3,4> m2;
std::string res("[3x4]{1,2,3,4,5,6,7,8,1,4,2,8}");
std::stringstream ss;
ss<<m1;
CPPUNIT_ASSERT_EQUAL(res, ss.str());
ss>>m2;
CPPUNIT_ASSERT_EQUAL(m1, m2);
}
CPPUNIT_TEST_SUITE(TemplateMatrixTest);
CPPUNIT_TEST(initFromArray1<int>);
CPPUNIT_TEST(initFromArray1<long>);
CPPUNIT_TEST(initFromArray1<unsigned>);
CPPUNIT_TEST(initFromArray1<unsigned long>);
CPPUNIT_TEST(initFromArray1<float>);
CPPUNIT_TEST(initFromArray1<double>);
CPPUNIT_TEST(initFromArray1<long double>);
CPPUNIT_TEST(initFromArray2<int>);
CPPUNIT_TEST(initFromArray2<long>);
CPPUNIT_TEST(initFromArray2<unsigned>);
CPPUNIT_TEST(initFromArray2<unsigned long>);
CPPUNIT_TEST(initFromArray2<float>);
CPPUNIT_TEST(initFromArray2<double>);
CPPUNIT_TEST(initFromArray2<long double>);
CPPUNIT_TEST(initFromArray3<int>);
CPPUNIT_TEST(initFromArray3<long>);
CPPUNIT_TEST(initFromArray3<unsigned>);
CPPUNIT_TEST(initFromArray3<unsigned long>);
CPPUNIT_TEST(initFromArray3<float>);
CPPUNIT_TEST(initFromArray3<double>);
CPPUNIT_TEST(initFromArray3<long double>);
CPPUNIT_TEST(initFromOtherMatrix<int>);
CPPUNIT_TEST(initFromOtherMatrix<long>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned long>);
CPPUNIT_TEST(initFromOtherMatrix<float>);
CPPUNIT_TEST(initFromOtherMatrix<double>);
CPPUNIT_TEST(initFromOtherMatrix<long double>);
CPPUNIT_TEST(access<int>);
CPPUNIT_TEST(access<long>);
CPPUNIT_TEST(access<unsigned>);
CPPUNIT_TEST(access<unsigned long>);
CPPUNIT_TEST(access<float>);
CPPUNIT_TEST(access<double>);
CPPUNIT_TEST(access<long double>);
CPPUNIT_TEST(equality<int>);
CPPUNIT_TEST(equality<long>);
CPPUNIT_TEST(equality<unsigned>);
CPPUNIT_TEST(equality<unsigned long>);
CPPUNIT_TEST(equality<float>);
CPPUNIT_TEST(equality<double>);
CPPUNIT_TEST(equality<long double>);
CPPUNIT_TEST(operator_plus<int>);
CPPUNIT_TEST(operator_plus<long>);
CPPUNIT_TEST(operator_plus<unsigned>);
CPPUNIT_TEST(operator_plus<unsigned long>);
CPPUNIT_TEST(operator_plus<float>);
CPPUNIT_TEST(operator_plus<double>);
CPPUNIT_TEST(operator_plus<long double>);
CPPUNIT_TEST(operator_minus<int>);
CPPUNIT_TEST(operator_minus<long>);
CPPUNIT_TEST(operator_minus<unsigned>);
CPPUNIT_TEST(operator_minus<unsigned long>);
CPPUNIT_TEST(operator_minus<float>);
CPPUNIT_TEST(operator_minus<double>);
CPPUNIT_TEST(operator_minus<long double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_mult<long>);
CPPUNIT_TEST(scalar_mult<unsigned>);
CPPUNIT_TEST(scalar_mult<unsigned long>);
CPPUNIT_TEST(scalar_mult<float>);
CPPUNIT_TEST(scalar_mult<double>);
CPPUNIT_TEST(scalar_mult<long double>);
CPPUNIT_TEST(scalar_div<int>);
CPPUNIT_TEST(scalar_div<long>);
CPPUNIT_TEST(scalar_div<unsigned>);
CPPUNIT_TEST(scalar_div<unsigned long>);
CPPUNIT_TEST(scalar_div<float>);
CPPUNIT_TEST(scalar_div<double>);
CPPUNIT_TEST(scalar_div<long double>);
CPPUNIT_TEST(matrix_mult<int>);
CPPUNIT_TEST(matrix_mult<long>);
CPPUNIT_TEST(matrix_mult<unsigned>);
CPPUNIT_TEST(matrix_mult<unsigned long>);
CPPUNIT_TEST(matrix_mult<float>);
CPPUNIT_TEST(matrix_mult<double>);
CPPUNIT_TEST(matrix_mult<long double>);
CPPUNIT_TEST(transpose<int>);
CPPUNIT_TEST(transpose<long>);
CPPUNIT_TEST(transpose<unsigned>);
CPPUNIT_TEST(transpose<unsigned long>);
CPPUNIT_TEST(transpose<float>);
CPPUNIT_TEST(transpose<double>);
CPPUNIT_TEST(transpose<long double>);
CPPUNIT_TEST(apply<int>);
CPPUNIT_TEST(apply<long>);
CPPUNIT_TEST(apply<unsigned>);
CPPUNIT_TEST(apply<unsigned long>);
CPPUNIT_TEST(apply<float>);
CPPUNIT_TEST(apply<double>);
CPPUNIT_TEST(apply<long double>);
CPPUNIT_TEST(norm<int>);
CPPUNIT_TEST(norm<long>);
CPPUNIT_TEST(norm<float>);
CPPUNIT_TEST(norm<double>);
CPPUNIT_TEST(norm<long double>);
CPPUNIT_TEST(gauss<int>);
CPPUNIT_TEST(gauss<long>);
CPPUNIT_TEST(gauss<float>);
CPPUNIT_TEST(gauss<double>);
CPPUNIT_TEST(gauss<long double>);
CPPUNIT_TEST(det<int>);
CPPUNIT_TEST(det<long>);
CPPUNIT_TEST(det<float>);
CPPUNIT_TEST(det<double>);
CPPUNIT_TEST(det<long double>);
CPPUNIT_TEST(i<int>);
CPPUNIT_TEST(i<long>);
CPPUNIT_TEST(i<unsigned>);
CPPUNIT_TEST(i<unsigned long>);
CPPUNIT_TEST(i<float>);
CPPUNIT_TEST(i<double>);
CPPUNIT_TEST(i<long double>);
CPPUNIT_TEST(inv<float>);
CPPUNIT_TEST(inv<double>);
CPPUNIT_TEST(inv<long double>);
CPPUNIT_TEST(stream<int>);
CPPUNIT_TEST(stream<long>);
CPPUNIT_TEST(stream<unsigned>);
CPPUNIT_TEST(stream<unsigned long>);
CPPUNIT_TEST(stream<float>);
CPPUNIT_TEST(stream<double>);
CPPUNIT_TEST(stream<long double>);
CPPUNIT_TEST_SUITE_END();
};
CPPUNIT_TEST_SUITE_REGISTRATION(TemplateMatrixTest);
class VariableMatrixTest: public CppUnit::TestFixture {
public:
template<typename T>
void initFromArray1() {
Matrix<T> m(2,4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m2(2, 4);
m2 = {2, 4,
1, 2, 3, 4,
5, 6, 7, 8};
CPPUNIT_ASSERT_EQUAL(m, m2);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromArray2() {
Matrix<T> m(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL((T)1, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m[1][1]);
CPPUNIT_ASSERT_EQUAL((T)7, m[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m[1][3]);
}
template<typename T>
void initFromOtherMatrix() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
m1[1][2] = 13;
Matrix<T> m2(m1);
m1[0][2] = 16;
m2[0][0] = 0;
Matrix<T> m3(2, 4);
m3 = m2;
CPPUNIT_ASSERT_EQUAL(m2, m3);
CPPUNIT_ASSERT_EQUAL((T)1, m1[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m1[0][1]);
CPPUNIT_ASSERT_EQUAL((T)16, m1[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m1[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m1[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m1[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m1[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m1[1][3]);
CPPUNIT_ASSERT_EQUAL((T)0, m2[0][0]);
CPPUNIT_ASSERT_EQUAL((T)2, m2[0][1]);
CPPUNIT_ASSERT_EQUAL((T)3, m2[0][2]);
CPPUNIT_ASSERT_EQUAL((T)4, m2[0][3]);
CPPUNIT_ASSERT_EQUAL((T)5, m2[1][0]);
CPPUNIT_ASSERT_EQUAL((T)6, m2[1][1]);
CPPUNIT_ASSERT_EQUAL((T)13, m2[1][2]);
CPPUNIT_ASSERT_EQUAL((T)8, m2[1][3]);
}
template<typename T>
void initFromDefault() {
Matrix<T> m(2, 4);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[0][1]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][0]);
CPPUNIT_ASSERT_EQUAL((T)0, m[1][1]);
}
template<typename T>
void access() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
for (size_t row(0); row<2; ++row)
for (size_t column(0); column<4; ++column)
CPPUNIT_ASSERT_EQUAL(m1(row, column), m1[row][column]);
}
template<typename T>
void equality() {
Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m2(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m3(2, 4,
1, 2, 3, 4,
5, 6, 7, 9);
Matrix<T> m4(2, 4,
9, 2, 3, 4,
5, 6, 7, 8);
Matrix<T> m5(-m1);
Matrix<T> m6(2, 4,
-1, -2, -3, -4,
-5, -6, -7, -8);
CPPUNIT_ASSERT_EQUAL(m6, m5);
CPPUNIT_ASSERT(m1==m2);
CPPUNIT_ASSERT(m1!=m3);
CPPUNIT_ASSERT(m1!=m4);
CPPUNIT_ASSERT(m1!=m5);
}
template<typename T>
void operator_plus() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T> m2(2, 4,
2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T> m(m1+m2);
const Matrix<T> res(2, 4,
3, 6, 9, 12,
6, 9, 12, 15);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void operator_minus() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
const Matrix<T> m2(2, 4,
2, 4, 6, 8,
1, 3, 5, 7);
const Matrix<T> m(m1-m2);
const Matrix<T> res(2, 4,
-1, -2, -3, -4,
4, 3, 2, 1);
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL(res, -m2+m1);
}
template<typename T>
void scalar_mult() {
const Matrix<T> m1(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
T two(2), three(3), four(4), big(32);
CPPUNIT_ASSERT_EQUAL(m1*two, m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*three, m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(m1*four, m1+m1+m1+m1);
CPPUNIT_ASSERT_EQUAL(two*m1, m1*two);
CPPUNIT_ASSERT_EQUAL(three*m1, m1*three);
CPPUNIT_ASSERT_EQUAL(four*m1, m1*four);
CPPUNIT_ASSERT_EQUAL(two*m1*two, m1*four);
CPPUNIT_ASSERT_EQUAL(big*m1*four, m1*four*big);
}
template<typename T>
void scalar_div() {
const Matrix<T> m1(2, 4,
2, 4, 6, 8,
10, 12, 14, 16);
const Matrix<T> m2(2, 4,
1, 2, 3, 4,
5, 6, 7, 8);
CPPUNIT_ASSERT_EQUAL(m2, m1/(T)2);
CPPUNIT_ASSERT_EQUAL(m2, (T)3*m1/(T)6);
}
template<typename T>
void matrix_mult() {
const Matrix<T> m1(2, 3,
1, 2, 3,
4, 5, 6);
const Matrix<T> m2(3, 4,
1, 4, 7, 10,
2, 5, 8, 11,
3, 6, 9, 12);
const Matrix<T> m(m1*m2);
const Matrix<T> res(2, 4,
14, 32, 50, 68,
32, 77, 122, 167);
CPPUNIT_ASSERT_EQUAL(res, m);
}
template<typename T>
void transpose() {
const Matrix<T> m(2, 3,
1, 2, 3,
4, 5, 6);
const Matrix<T> res(3, 2,
1, 4,
2, 5,
3, 6);
CPPUNIT_ASSERT_EQUAL(res, m.t());
}
template<typename T>
void apply() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
Matrix<T> o(m);
CPPUNIT_ASSERT_EQUAL((T)3*o, m.apply([](T& t){t*=3;}));
}
template<typename T>
void norm() {
Matrix<T> m1(3, 3,
1, -1, 1,
-1, 1, -1,
1, 1, -1);
Matrix<T> m2(3, 3,
-1, 3, 2,
-2, 0, -3,
2, 1, -2);
Matrix<T> m3(3, 3,
0, 3, 0,
-1, 0, 2,
0, -3, 1);
CPPUNIT_ASSERT_DOUBLES_EQUAL(3.0, m1.norm(), 0.00001);
CPPUNIT_ASSERT_DOUBLES_EQUAL(6.0, m2.norm(), 0.00001);
CPPUNIT_ASSERT_DOUBLES_EQUAL(4.0, m3.norm(3), 0.00001);
}
template<typename T>
void gauss() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
const Matrix<T> res(3,3,
1, -1, 2,
0, -1, -2,
0, 0, -6);
T lambda(m.gauss());
CPPUNIT_ASSERT_EQUAL(res, m);
CPPUNIT_ASSERT_EQUAL((T)2, lambda);
}
template<typename T>
void det() {
Matrix<T> m(3, 3,
2, -2, 4,
-2, 1, -6,
1, 0, -2);
CPPUNIT_ASSERT_EQUAL((T)12, m.det());
}
template<typename T>
void i() {
const Matrix<T> m1(3, 3,
1, 0, 0,
0, 1, 0,
0, 0, 1);
const Matrix<T> m2(3, 2,
1, 0,
0, 1,
0, 0);
const Matrix<T> m3(2, 3,
1, 0, 0,
0, 1, 0);
CPPUNIT_ASSERT_EQUAL(m1, m1.i());
CPPUNIT_ASSERT_EQUAL(m2, m2.i());
CPPUNIT_ASSERT_EQUAL(m3, m3.i());
}
template<typename T>
void inv() {
{
Matrix<T> m(3, 3,
2, -1, 0,
1, 2, -2,
0, -1, 1);
const Matrix<T> res(3, 3,
0, 1, 2,
-1, 2, 4,
-1, 2, 5);
Matrix<T> o1(m), o2(m);
m.inv();
CPPUNIT_ASSERT_EQUAL((T)2*res, (T)2/o1);
CPPUNIT_ASSERT_EQUAL(o1.i(), o1/o2);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
1, 2, 3,
0, 1, 4,
5, 6, 0);
const Matrix<T> res(3, 3,
-24, 18, 5,
20, -15, -4,
-5, 4, 1);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
1, 2, 3,
0, 4, 5,
1, 0, 6);
const Matrix<T> res(3, 3,
(T)12/11, (T)-6/11, (T)-1/11,
(T)5/22, (T)3/22, (T)-5/22,
(T)-2/11, (T)1/11, (T)2/11);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(3, 3,
-2, 0, 1,
9, 2, -3,
5, 1, -2);
const Matrix<T> res(3, 3,
-1, 1, -2,
3, -1, 3,
-1, 2, -4);
Matrix<T> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(4, 4,
2, 1, 4, 1,
-1, 1, 0, 2,
0, 0, 2, 4,
2, -2, 0, 1);
const Matrix<T> res(4, 4,
(T)1/3, (T)13/15, (T)-2/3, 0.6,
(T)1/3, (T)16/15, (T)-2/3, 0.2,
0, -0.8, 0.5, -0.4,
0, 0.4, 0, 0.2);
Matrix<T> o(m);
m.inv();
CPPUNIT_ASSERT_EQUAL(m.i(), m*o);
CPPUNIT_ASSERT_EQUAL(res, m);
} {
Matrix<T> m(2, 2,
4, 3,
3, 2);
const Matrix<T> res(2, 2,
-2, 3,
3, -4);
m.inv();
CPPUNIT_ASSERT_EQUAL(res, m);
}
}
template<typename T>
void stream() {
const Matrix<T> m1(3, 4,
1, 2, 3, 4,
5, 6, 7, 8,
1, 4, 2, 8);
Matrix<T> m2(1, 1);
std::string res("[3x4]{1,2,3,4,5,6,7,8,1,4,2,8}");
std::stringstream ss;
ss<<m1;
CPPUNIT_ASSERT_EQUAL(res, ss.str());
ss>>m2;
CPPUNIT_ASSERT_EQUAL(m1, m2);
}
CPPUNIT_TEST_SUITE(VariableMatrixTest);
CPPUNIT_TEST(initFromArray1<int>);
CPPUNIT_TEST(initFromArray1<long>);
CPPUNIT_TEST(initFromArray1<unsigned>);
CPPUNIT_TEST(initFromArray1<unsigned long>);
CPPUNIT_TEST(initFromArray1<float>);
CPPUNIT_TEST(initFromArray1<double>);
CPPUNIT_TEST(initFromArray1<long double>);
CPPUNIT_TEST(initFromArray2<int>);
CPPUNIT_TEST(initFromArray2<long>);
CPPUNIT_TEST(initFromArray2<unsigned>);
CPPUNIT_TEST(initFromArray2<unsigned long>);
CPPUNIT_TEST(initFromArray2<float>);
CPPUNIT_TEST(initFromArray2<double>);
CPPUNIT_TEST(initFromArray2<long double>);
CPPUNIT_TEST(initFromOtherMatrix<int>);
CPPUNIT_TEST(initFromOtherMatrix<long>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned>);
CPPUNIT_TEST(initFromOtherMatrix<unsigned long>);
CPPUNIT_TEST(initFromOtherMatrix<float>);
CPPUNIT_TEST(initFromOtherMatrix<double>);
CPPUNIT_TEST(initFromOtherMatrix<long double>);
CPPUNIT_TEST(access<int>);
CPPUNIT_TEST(access<long>);
CPPUNIT_TEST(access<unsigned>);
CPPUNIT_TEST(access<unsigned long>);
CPPUNIT_TEST(access<float>);
CPPUNIT_TEST(access<double>);
CPPUNIT_TEST(access<long double>);
CPPUNIT_TEST(equality<int>);
CPPUNIT_TEST(equality<long>);
CPPUNIT_TEST(equality<unsigned>);
CPPUNIT_TEST(equality<unsigned long>);
CPPUNIT_TEST(equality<float>);
CPPUNIT_TEST(equality<double>);
CPPUNIT_TEST(equality<long double>);
CPPUNIT_TEST(operator_plus<int>);
CPPUNIT_TEST(operator_plus<long>);
CPPUNIT_TEST(operator_plus<unsigned>);
CPPUNIT_TEST(operator_plus<unsigned long>);
CPPUNIT_TEST(operator_plus<float>);
CPPUNIT_TEST(operator_plus<double>);
CPPUNIT_TEST(operator_plus<long double>);
CPPUNIT_TEST(operator_minus<int>);
CPPUNIT_TEST(operator_minus<long>);
CPPUNIT_TEST(operator_minus<unsigned>);
CPPUNIT_TEST(operator_minus<unsigned long>);
CPPUNIT_TEST(operator_minus<float>);
CPPUNIT_TEST(operator_minus<double>);
CPPUNIT_TEST(operator_minus<long double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_mult<long>);
CPPUNIT_TEST(scalar_mult<unsigned>);
CPPUNIT_TEST(scalar_mult<unsigned long>);
CPPUNIT_TEST(scalar_mult<float>);
CPPUNIT_TEST(scalar_mult<double>);
CPPUNIT_TEST(scalar_mult<long double>);
CPPUNIT_TEST(scalar_mult<int>);
CPPUNIT_TEST(scalar_div<int>);
CPPUNIT_TEST(scalar_div<long>);
CPPUNIT_TEST(scalar_div<unsigned>);
CPPUNIT_TEST(scalar_div<unsigned long>);
CPPUNIT_TEST(scalar_div<float>);
CPPUNIT_TEST(scalar_div<double>);
CPPUNIT_TEST(scalar_div<long double>);
CPPUNIT_TEST(matrix_mult<int>);
CPPUNIT_TEST(matrix_mult<long>);
CPPUNIT_TEST(matrix_mult<unsigned>);
CPPUNIT_TEST(matrix_mult<unsigned long>);
CPPUNIT_TEST(matrix_mult<float>);
CPPUNIT_TEST(matrix_mult<double>);
CPPUNIT_TEST(matrix_mult<long double>);
CPPUNIT_TEST(transpose<int>);
CPPUNIT_TEST(transpose<long>);
CPPUNIT_TEST(transpose<unsigned>);
CPPUNIT_TEST(transpose<unsigned long>);
CPPUNIT_TEST(transpose<float>);
CPPUNIT_TEST(transpose<double>);
CPPUNIT_TEST(transpose<long double>);
CPPUNIT_TEST(apply<int>);
CPPUNIT_TEST(apply<long>);
CPPUNIT_TEST(apply<unsigned>);
CPPUNIT_TEST(apply<unsigned long>);
CPPUNIT_TEST(apply<float>);
CPPUNIT_TEST(apply<double>);
CPPUNIT_TEST(apply<long double>);
CPPUNIT_TEST(norm<int>);
CPPUNIT_TEST(norm<long>);
CPPUNIT_TEST(norm<float>);
CPPUNIT_TEST(norm<double>);
CPPUNIT_TEST(norm<long double>);
CPPUNIT_TEST(gauss<int>);
CPPUNIT_TEST(gauss<long>);
CPPUNIT_TEST(gauss<float>);
CPPUNIT_TEST(gauss<double>);
CPPUNIT_TEST(gauss<long double>);
CPPUNIT_TEST(det<int>);
CPPUNIT_TEST(det<long>);
CPPUNIT_TEST(det<float>);
CPPUNIT_TEST(det<double>);
CPPUNIT_TEST(det<long double>);
CPPUNIT_TEST(i<int>);
CPPUNIT_TEST(i<long>);
CPPUNIT_TEST(i<unsigned>);
CPPUNIT_TEST(i<unsigned long>);
CPPUNIT_TEST(i<float>);
CPPUNIT_TEST(i<double>);
CPPUNIT_TEST(i<long double>);
CPPUNIT_TEST(inv<float>);
CPPUNIT_TEST(inv<double>);
CPPUNIT_TEST(inv<long double>);
CPPUNIT_TEST(stream<int>);
CPPUNIT_TEST(stream<long>);
CPPUNIT_TEST(stream<unsigned>);
CPPUNIT_TEST(stream<unsigned long>);
CPPUNIT_TEST(stream<float>);
CPPUNIT_TEST(stream<double>);
CPPUNIT_TEST(stream<long double>);
CPPUNIT_TEST_SUITE_END();
};
CPPUNIT_TEST_SUITE_REGISTRATION(VariableMatrixTest);
int main(int argc, char** argv) try {
std::ofstream ofs((*argv+std::string(".xml")).c_str());
CppUnit::TextUi::TestRunner runner;
runner.setOutputter(new CppUnit::XmlOutputter(&runner.result(), ofs));
runner.addTest(CppUnit::TestFactoryRegistry::getRegistry().makeTest());
return runner.run() ? 0 : 1;
} catch (std::exception& e) {
std::cerr<<"***Exception: "<<e.what()<<std::endl;
return 1;
}