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-rw-r--r--test/product_trmv.cpp89
1 files changed, 89 insertions, 0 deletions
diff --git a/test/product_trmv.cpp b/test/product_trmv.cpp
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+// 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;
+ 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)) );
+ }
+ EIGEN_UNUSED_VARIABLE(s);
+}