eigen/test/submatrices.cpp
Benoit Jacob 8ba3055447 Ready for alpha2 release.
- complete documentation
- add TODO
- update copyright years
2008-01-07 09:34:21 +00:00

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C++

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra. Eigen itself is part of the KDE project.
//
// Copyright (C) 2006-2008 Benoit Jacob <jacob@math.jussieu.fr>
//
// Eigen is free software; 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 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 General Public License for more
// details.
//
// You should have received a copy of the GNU General Public License along
// with Eigen; if not, write to the Free Software Foundation, Inc., 51
// Franklin St, Fifth Floor, Boston, MA 02110-1301 USA.
//
// As a special exception, if other files instantiate templates or use macros
// or functions from this file, or you compile this file and link it
// with other works to produce a work based on this file, this file does not
// by itself cause the resulting work to be covered by the GNU General Public
// License. This exception does not invalidate any other reasons why a work
// based on this file might be covered by the GNU General Public License.
#include "main.h"
namespace Eigen {
template<typename MatrixType> void submatrices(const MatrixType& m)
{
/* this test covers the following files:
Row.h Column.h Block.h DynBlock.h Minor.h DiagonalCoeffs.h
*/
typedef typename MatrixType::Scalar Scalar;
typedef Matrix<Scalar, MatrixType::Traits::RowsAtCompileTime, 1> VectorType;
typedef Matrix<Scalar, 1, MatrixType::Traits::ColsAtCompileTime> RowVectorType;
int rows = m.rows();
int cols = m.cols();
MatrixType m1 = MatrixType::random(rows, cols),
m2 = MatrixType::random(rows, cols),
m3(rows, cols),
mzero = MatrixType::zero(rows, cols),
identity = Matrix<Scalar, MatrixType::Traits::RowsAtCompileTime, MatrixType::Traits::RowsAtCompileTime>
::identity(rows),
square = Matrix<Scalar, MatrixType::Traits::RowsAtCompileTime, MatrixType::Traits::RowsAtCompileTime>
::random(rows, rows);
VectorType v1 = VectorType::random(rows),
v2 = VectorType::random(rows),
v3 = VectorType::random(rows),
vzero = VectorType::zero(rows);
Scalar s1 = random<Scalar>();
int r1 = random<int>(0,rows-1);
int r2 = random<int>(r1,rows-1);
int c1 = random<int>(0,cols-1);
int c2 = random<int>(c1,cols-1);
//check row() and col()
VERIFY_IS_APPROX(m1.col(c1).transpose(), m1.transpose().row(c1));
VERIFY_IS_APPROX(square.row(r1).dot(m1.col(c1)), square.lazyProduct(m1.conjugate())(r1,c1));
//check operator(), both constant and non-constant, on row() and col()
m1.row(r1) += s1 * m1.row(r2);
m1.col(c1) += s1 * m1.col(c2);
//check dynBlock()
Matrix<Scalar,Dynamic,Dynamic> b1(1,1); b1(0,0) = m1(r1,c1);
RowVectorType br1(m1.dynBlock(r1,0,1,cols));
VectorType bc1(m1.dynBlock(0,c1,rows,1));
VERIFY_IS_APPROX(b1, m1.dynBlock(r1,c1,1,1));
VERIFY_IS_APPROX(m1.row(r1), br1);
VERIFY_IS_APPROX(m1.col(c1), bc1);
//check operator(), both constant and non-constant, on dynBlock()
m1.dynBlock(r1,c1,r2-r1+1,c2-c1+1) = s1 * m2.dynBlock(0, 0, r2-r1+1,c2-c1+1);
m1.dynBlock(r1,c1,r2-r1+1,c2-c1+1)(r2-r1,c2-c1) = m2.dynBlock(0, 0, r2-r1+1,c2-c1+1)(0,0);
//check minor()
if(rows > 1 && cols > 1)
{
Matrix<Scalar, Dynamic, Dynamic> mi = m1.minor(0,0).eval();
VERIFY_IS_APPROX(mi, m1.dynBlock(1,1,rows-1,cols-1));
mi = m1.minor(r1,c1);
VERIFY_IS_APPROX(mi.transpose(), m1.transpose().minor(c1,r1));
//check operator(), both constant and non-constant, on minor()
m1.minor(r1,c1)(0,0) = m1.minor(0,0)(0,0);
}
//check diagonal()
VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
m2.diagonal() = 2 * m1.diagonal();
m2.diagonal()[0] *= 3;
VERIFY_IS_APPROX(m2.diagonal()[0], static_cast<Scalar>(6) * m1.diagonal()[0]);
}
void EigenTest::testSubmatrices()
{
for(int i = 0; i < m_repeat; i++) {
submatrices(Matrix<float, 1, 1>());
submatrices(Matrix4d());
submatrices(MatrixXcf(3, 3));
submatrices(MatrixXi(8, 12));
submatrices(MatrixXcd(20, 20));
// test block() separately as it is a template method so doesn't support
// being called as a member of a class that is itself a template parameter
// (at least as of g++ 4.2)
Matrix<float, 6, 8> m = Matrix<float, 6, 8>::random();
float s = random<float>();
// test block() as lvalue
m.block<2,5>(1,1) *= s;
// test operator() on block() both as constant and non-constant
m.block<2,5>(1,1)(0, 3) = m.block<2,5>(1,1)(1,2);
// check that block() and dynBlock() agree
MatrixXf b = m.block<3,2>(3,3);
VERIFY_IS_APPROX(b, m.dynBlock(3,3,3,2));
}
}
} // namespace Eigen