diff options
Diffstat (limited to 'eigen/test/product_trmv.cpp')
-rw-r--r-- | eigen/test/product_trmv.cpp | 89 |
1 files changed, 89 insertions, 0 deletions
diff --git a/eigen/test/product_trmv.cpp b/eigen/test/product_trmv.cpp new file mode 100644 index 0000000..4c3c435 --- /dev/null +++ b/eigen/test/product_trmv.cpp @@ -0,0 +1,89 @@ +// This file is triangularView of Eigen, a lightweight C++ template library +// for linear algebra. +// +// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr> +// +// This Source Code Form is subject to the terms of the Mozilla +// Public License v. 2.0. If a copy of the MPL was not distributed +// with this file, You can obtain one at http://mozilla.org/MPL/2.0/. + +#include "main.h" + +template<typename MatrixType> void trmv(const MatrixType& m) +{ + typedef typename MatrixType::Index Index; + typedef typename MatrixType::Scalar Scalar; + typedef typename NumTraits<Scalar>::Real RealScalar; + typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType; + + RealScalar largerEps = 10*test_precision<RealScalar>(); + + Index rows = m.rows(); + Index cols = m.cols(); + + MatrixType m1 = MatrixType::Random(rows, cols), + m3(rows, cols); + VectorType v1 = VectorType::Random(rows); + + Scalar s1 = internal::random<Scalar>(); + + m1 = MatrixType::Random(rows, cols); + + // check with a column-major matrix + m3 = m1.template triangularView<Eigen::Lower>(); + VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Lower>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::Upper>(); + VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Upper>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::UnitLower>(); + VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitLower>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::UnitUpper>(); + VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitUpper>() * v1, largerEps)); + + // check conjugated and scalar multiple expressions (col-major) + m3 = m1.template triangularView<Eigen::Lower>(); + VERIFY(((s1*m3).conjugate() * v1).isApprox((s1*m1).conjugate().template triangularView<Eigen::Lower>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::Upper>(); + VERIFY((m3.conjugate() * v1.conjugate()).isApprox(m1.conjugate().template triangularView<Eigen::Upper>() * v1.conjugate(), largerEps)); + + // check with a row-major matrix + m3 = m1.template triangularView<Eigen::Upper>(); + VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Lower>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::Lower>(); + VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Upper>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::UnitUpper>(); + VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitLower>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::UnitLower>(); + VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitUpper>() * v1, largerEps)); + + // check conjugated and scalar multiple expressions (row-major) + m3 = m1.template triangularView<Eigen::Upper>(); + VERIFY((m3.adjoint() * v1).isApprox(m1.adjoint().template triangularView<Eigen::Lower>() * v1, largerEps)); + m3 = m1.template triangularView<Eigen::Lower>(); + VERIFY((m3.adjoint() * (s1*v1.conjugate())).isApprox(m1.adjoint().template triangularView<Eigen::Upper>() * (s1*v1.conjugate()), largerEps)); + m3 = m1.template triangularView<Eigen::UnitUpper>(); + + // check transposed cases: + m3 = m1.template triangularView<Eigen::Lower>(); + VERIFY((v1.transpose() * m3).isApprox(v1.transpose() * m1.template triangularView<Eigen::Lower>(), largerEps)); + VERIFY((v1.adjoint() * m3).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>(), largerEps)); + VERIFY((v1.adjoint() * m3.adjoint()).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>().adjoint(), largerEps)); + + // TODO check with sub-matrices +} + +void test_product_trmv() +{ + int s = 0; + for(int i = 0; i < g_repeat ; i++) { + CALL_SUBTEST_1( trmv(Matrix<float, 1, 1>()) ); + CALL_SUBTEST_2( trmv(Matrix<float, 2, 2>()) ); + CALL_SUBTEST_3( trmv(Matrix3d()) ); + s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2); + CALL_SUBTEST_4( trmv(MatrixXcf(s,s)) ); + s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2); + CALL_SUBTEST_5( trmv(MatrixXcd(s,s)) ); + s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE); + CALL_SUBTEST_6( trmv(Matrix<float,Dynamic,Dynamic,RowMajor>(s, s)) ); + } + TEST_SET_BUT_UNUSED_VARIABLE(s); +} |