eigen/unsupported/test/matrixExponential.cpp
Benoit Jacob 6347b1db5b remove sentence "Eigen itself is part of the KDE project."
it never made very precise sense. but now does it still make any?
2009-05-22 20:25:33 +02:00

96 lines
2.7 KiB
C++

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2009 Jitse Niesen <jitse@maths.leeds.ac.uk>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.
#include "main.h"
#include <Eigen/StdVector>
#include <unsupported/Eigen/MatrixFunctions>
double binom(int n, int k)
{
double res = 1;
for (int i=0; i<k; i++)
res = res * (n-k+i+1) / (i+1);
return res;
}
void test2dRotation()
{
Matrix2d A, B, C;
double angle;
for (int i=0; i<=20; i++)
{
angle = pow(10, i / 5. - 2);
A << 0, angle, -angle, 0;
B << cos(angle), sin(angle), -sin(angle), cos(angle);
ei_matrix_exponential(A, &C);
VERIFY(C.isApprox(B, 1e-14));
}
}
void testPascal()
{
for (int size=1; size<20; size++)
{
MatrixXd A(size,size), B(size,size), C(size,size);
A.setZero();
for (int i=0; i<size-1; i++)
A(i+1,i) = i+1;
B.setZero();
for (int i=0; i<size; i++)
for (int j=0; j<=i; j++)
B(i,j) = binom(i,j);
ei_matrix_exponential(A, &C);
VERIFY(C.isApprox(B, 1e-14));
}
}
template<typename MatrixType> void randomTest(const MatrixType& m)
{
/* this test covers the following files:
Inverse.h
*/
int rows = m.rows();
int cols = m.cols();
MatrixType m1(rows, cols), m2(rows, cols), m3(rows, cols),
identity = MatrixType::Identity(rows, rows);
for(int i = 0; i < g_repeat; i++) {
m1 = MatrixType::Random(rows, cols);
ei_matrix_exponential(m1, &m2);
ei_matrix_exponential(-m1, &m3);
VERIFY(identity.isApprox(m2 * m3, 1e-13));
}
}
void test_matrixExponential()
{
CALL_SUBTEST(test2dRotation());
CALL_SUBTEST(testPascal());
CALL_SUBTEST(randomTest(Matrix2d()));
CALL_SUBTEST(randomTest(Matrix3d()));
CALL_SUBTEST(randomTest(Matrix4d()));
CALL_SUBTEST(randomTest(MatrixXd(8,8)));
}