cart-elc

Source code for CART-ELC
git clone git://git.laack.co/cart-elc.git
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product_trmv.cpp (4250B)

      1 // This file is triangularView of Eigen, a lightweight C++ template library
      2 // for linear algebra.
      3 //
      4 // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
      5 //
      6 // This Source Code Form is subject to the terms of the Mozilla
      7 // Public License v. 2.0. If a copy of the MPL was not distributed
      8 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
      9 
     10 #include "main.h"
     11 
     12 template<typename MatrixType> void trmv(const MatrixType& m)
     13 {
     14   typedef typename MatrixType::Scalar Scalar;
     15   typedef typename NumTraits<Scalar>::Real RealScalar;
     16   typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
     17 
     18   RealScalar largerEps = 10*test_precision<RealScalar>();
     19 
     20   Index rows = m.rows();
     21   Index cols = m.cols();
     22 
     23   MatrixType m1 = MatrixType::Random(rows, cols),
     24              m3(rows, cols);
     25   VectorType v1 = VectorType::Random(rows);
     26 
     27   Scalar s1 = internal::random<Scalar>();
     28 
     29   m1 = MatrixType::Random(rows, cols);
     30 
     31   // check with a column-major matrix
     32   m3 = m1.template triangularView<Eigen::Lower>();
     33   VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Lower>() * v1, largerEps));
     34   m3 = m1.template triangularView<Eigen::Upper>();
     35   VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::Upper>() * v1, largerEps));
     36   m3 = m1.template triangularView<Eigen::UnitLower>();
     37   VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitLower>() * v1, largerEps));
     38   m3 = m1.template triangularView<Eigen::UnitUpper>();
     39   VERIFY((m3 * v1).isApprox(m1.template triangularView<Eigen::UnitUpper>() * v1, largerEps));
     40 
     41   // check conjugated and scalar multiple expressions (col-major)
     42   m3 = m1.template triangularView<Eigen::Lower>();
     43   VERIFY(((s1*m3).conjugate() * v1).isApprox((s1*m1).conjugate().template triangularView<Eigen::Lower>() * v1, largerEps));
     44   m3 = m1.template triangularView<Eigen::Upper>();
     45   VERIFY((m3.conjugate() * v1.conjugate()).isApprox(m1.conjugate().template triangularView<Eigen::Upper>() * v1.conjugate(), largerEps));
     46 
     47   // check with a row-major matrix
     48   m3 = m1.template triangularView<Eigen::Upper>();
     49   VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Lower>() * v1, largerEps));
     50   m3 = m1.template triangularView<Eigen::Lower>();
     51   VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::Upper>() * v1, largerEps));
     52   m3 = m1.template triangularView<Eigen::UnitUpper>();
     53   VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitLower>() * v1, largerEps));
     54   m3 = m1.template triangularView<Eigen::UnitLower>();
     55   VERIFY((m3.transpose() * v1).isApprox(m1.transpose().template triangularView<Eigen::UnitUpper>() * v1, largerEps));
     56 
     57   // check conjugated and scalar multiple expressions (row-major)
     58   m3 = m1.template triangularView<Eigen::Upper>();
     59   VERIFY((m3.adjoint() * v1).isApprox(m1.adjoint().template triangularView<Eigen::Lower>() * v1, largerEps));
     60   m3 = m1.template triangularView<Eigen::Lower>();
     61   VERIFY((m3.adjoint() * (s1*v1.conjugate())).isApprox(m1.adjoint().template triangularView<Eigen::Upper>() * (s1*v1.conjugate()), largerEps));
     62   m3 = m1.template triangularView<Eigen::UnitUpper>();
     63 
     64   // check transposed cases:
     65   m3 = m1.template triangularView<Eigen::Lower>();
     66   VERIFY((v1.transpose() * m3).isApprox(v1.transpose() * m1.template triangularView<Eigen::Lower>(), largerEps));
     67   VERIFY((v1.adjoint() * m3).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>(), largerEps));
     68   VERIFY((v1.adjoint() * m3.adjoint()).isApprox(v1.adjoint() * m1.template triangularView<Eigen::Lower>().adjoint(), largerEps));
     69 
     70   // TODO check with sub-matrices
     71 }
     72 
     73 EIGEN_DECLARE_TEST(product_trmv)
     74 {
     75   int s = 0;
     76   for(int i = 0; i < g_repeat ; i++) {
     77     CALL_SUBTEST_1( trmv(Matrix<float, 1, 1>()) );
     78     CALL_SUBTEST_2( trmv(Matrix<float, 2, 2>()) );
     79     CALL_SUBTEST_3( trmv(Matrix3d()) );
     80     
     81     s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2);
     82     CALL_SUBTEST_4( trmv(MatrixXcf(s,s)) );
     83     CALL_SUBTEST_5( trmv(MatrixXcd(s,s)) );
     84     TEST_SET_BUT_UNUSED_VARIABLE(s)
     85     
     86     s = internal::random<int>(1,EIGEN_TEST_MAX_SIZE);
     87     CALL_SUBTEST_6( trmv(Matrix<float,Dynamic,Dynamic,RowMajor>(s, s)) );
     88     TEST_SET_BUT_UNUSED_VARIABLE(s)
     89   }
     90 }