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authorGravatar Benoit Jacob <jacob.benoit.1@gmail.com>2007-12-25 17:20:58 +0000
committerGravatar Benoit Jacob <jacob.benoit.1@gmail.com>2007-12-25 17:20:58 +0000
commitdad245af56b4597f27d7c219e5f5f0b38cd62d24 (patch)
tree64d24b37b4be26bddd842f359ff42bc30abfa723 /test/linearstructure.cpp
parent3cd2a125b2712d6b7c620bef0671c6a05839d6e5 (diff)
- eigen2 now fully enforces constness! found a way to achieve that
with minimal code duplication. There now are only two (2) const_cast remaining in the whole source code. - eigen2 now fully allows copying a row-vector into a column-vector. added a unit-test for that. - split unit tests, improve docs, various improvements.
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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra. Eigen itself is part of the KDE project.
+//
+// Copyright (C) 2006-2007 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 linearStructure(const MatrixType& m)
+{
+ /* this test covers the following files:
+ Sum.h Difference.h Opposite.h ScalarMultiple.h
+ */
+
+ typedef typename MatrixType::Scalar Scalar;
+ typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
+
+ int rows = m.rows();
+ int cols = m.cols();
+
+ // this test relies a lot on Random.h, and there's not much more that we can do
+ // to test it, hence I consider that we will have tested Random.h
+ MatrixType m1 = MatrixType::random(rows, cols),
+ m2 = MatrixType::random(rows, cols),
+ m3(rows, cols),
+ mzero = MatrixType::zero(rows, cols),
+ identity = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
+ ::identity(rows),
+ square = Matrix<Scalar, MatrixType::RowsAtCompileTime, MatrixType::RowsAtCompileTime>
+ ::random(rows, rows);
+ VectorType v1 = VectorType::random(rows),
+ v2 = VectorType::random(rows),
+ vzero = VectorType::zero(rows);
+
+ Scalar s1 = random<Scalar>(),
+ s2 = random<Scalar>();
+
+ int r = random<int>(0, rows-1),
+ c = random<int>(0, cols-1);
+
+ VERIFY_IS_APPROX(-(-m1), m1);
+ VERIFY_IS_APPROX(m1+m1, 2*m1);
+ VERIFY_IS_APPROX(m1+m2-m1, m2);
+ VERIFY_IS_APPROX(-m2+m1+m2, m1);
+ VERIFY_IS_APPROX(m1*s1, s1*m1);
+ VERIFY_IS_APPROX((m1+m2)*s1, s1*m1+s1*m2);
+ VERIFY_IS_APPROX((s1+s2)*m1, m1*s1+m1*s2);
+ VERIFY_IS_APPROX((m1-m2)*s1, s1*m1-s1*m2);
+ VERIFY_IS_APPROX((s1-s2)*m1, m1*s1-m1*s2);
+ VERIFY_IS_APPROX((-m1+m2)*s1, -s1*m1+s1*m2);
+ VERIFY_IS_APPROX((-s1+s2)*m1, -m1*s1+m1*s2);
+ m3 = m2; m3 += m1;
+ VERIFY_IS_APPROX(m3, m1+m2);
+ m3 = m2; m3 -= m1;
+ VERIFY_IS_APPROX(m3, m2-m1);
+ m3 = m2; m3 *= s1;
+ VERIFY_IS_APPROX(m3, s1*m2);
+ if(NumTraits<Scalar>::HasFloatingPoint)
+ {
+ m3 = m2; m3 /= s1;
+ VERIFY_IS_APPROX(m3, m2/s1);
+ }
+
+ // again, test operator() to check const-qualification
+ VERIFY_IS_APPROX((-m1)(r,c), -(m1(r,c)));
+ VERIFY_IS_APPROX((m1-m2)(r,c), (m1(r,c))-(m2(r,c)));
+ VERIFY_IS_APPROX((m1+m2)(r,c), (m1(r,c))+(m2(r,c)));
+ VERIFY_IS_APPROX((s1*m1)(r,c), s1*(m1(r,c)));
+ VERIFY_IS_APPROX((m1*s1)(r,c), (m1(r,c))*s1);
+ if(NumTraits<Scalar>::HasFloatingPoint)
+ VERIFY_IS_APPROX((m1/s1)(r,c), (m1(r,c))/s1);
+}
+
+void EigenTest::testLinearStructure()
+{
+ for(int i = 0; i < m_repeat; i++) {
+ linearStructure(Matrix<float, 1, 1>());
+ linearStructure(Matrix4d());
+ linearStructure(MatrixXcf(3, 3));
+ linearStructure(MatrixXi(8, 12));
+ linearStructure(MatrixXcd(20, 20));
+ }
+}
+
+} // namespace Eigen