1 | // This file is part of Eigen, a lightweight C++ template library
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2 | // for linear algebra.
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3 | //
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4 | // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
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5 | //
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6 | // This Source Code Form is subject to the terms of the Mozilla
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7 | // Public License v. 2.0. If a copy of the MPL was not distributed
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8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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9 |
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10 | #include "main.h"
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11 |
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12 | #define VERIFY_TRSM(TRI,XB) { \
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13 | (XB).setRandom(); ref = (XB); \
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14 | (TRI).solveInPlace(XB); \
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15 | VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
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16 | (XB).setRandom(); ref = (XB); \
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17 | (XB) = (TRI).solve(XB); \
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18 | VERIFY_IS_APPROX((TRI).toDenseMatrix() * (XB), ref); \
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19 | }
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20 |
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21 | #define VERIFY_TRSM_ONTHERIGHT(TRI,XB) { \
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22 | (XB).setRandom(); ref = (XB); \
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23 | (TRI).transpose().template solveInPlace<OnTheRight>(XB.transpose()); \
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24 | VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
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25 | (XB).setRandom(); ref = (XB); \
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26 | (XB).transpose() = (TRI).transpose().template solve<OnTheRight>(XB.transpose()); \
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27 | VERIFY_IS_APPROX((XB).transpose() * (TRI).transpose().toDenseMatrix(), ref.transpose()); \
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28 | }
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29 |
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30 | template<typename Scalar,int Size, int Cols> void trsolve(int size=Size,int cols=Cols)
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31 | {
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32 | typedef typename NumTraits<Scalar>::Real RealScalar;
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33 |
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34 | Matrix<Scalar,Size,Size,ColMajor> cmLhs(size,size);
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35 | Matrix<Scalar,Size,Size,RowMajor> rmLhs(size,size);
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36 |
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37 | enum { colmajor = Size==1 ? RowMajor : ColMajor,
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38 | rowmajor = Cols==1 ? ColMajor : RowMajor };
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39 | Matrix<Scalar,Size,Cols,colmajor> cmRhs(size,cols);
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40 | Matrix<Scalar,Size,Cols,rowmajor> rmRhs(size,cols);
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41 | Matrix<Scalar,Dynamic,Dynamic,colmajor> ref(size,cols);
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42 |
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43 | cmLhs.setRandom(); cmLhs *= static_cast<RealScalar>(0.1); cmLhs.diagonal().array() += static_cast<RealScalar>(1);
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44 | rmLhs.setRandom(); rmLhs *= static_cast<RealScalar>(0.1); rmLhs.diagonal().array() += static_cast<RealScalar>(1);
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45 |
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46 | VERIFY_TRSM(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
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47 | VERIFY_TRSM(cmLhs.adjoint() .template triangularView<Lower>(), cmRhs);
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48 | VERIFY_TRSM(cmLhs .template triangularView<Upper>(), cmRhs);
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49 | VERIFY_TRSM(cmLhs .template triangularView<Lower>(), rmRhs);
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50 | VERIFY_TRSM(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
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51 | VERIFY_TRSM(cmLhs.adjoint() .template triangularView<Upper>(), rmRhs);
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52 |
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53 | VERIFY_TRSM(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
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54 | VERIFY_TRSM(cmLhs .template triangularView<UnitUpper>(), rmRhs);
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55 |
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56 | VERIFY_TRSM(rmLhs .template triangularView<Lower>(), cmRhs);
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57 | VERIFY_TRSM(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
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58 |
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59 |
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60 | VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Lower>(), cmRhs);
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61 | VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Upper>(), cmRhs);
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62 | VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<Lower>(), rmRhs);
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63 | VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<Upper>(), rmRhs);
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64 |
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65 | VERIFY_TRSM_ONTHERIGHT(cmLhs.conjugate().template triangularView<UnitLower>(), cmRhs);
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66 | VERIFY_TRSM_ONTHERIGHT(cmLhs .template triangularView<UnitUpper>(), rmRhs);
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67 |
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68 | VERIFY_TRSM_ONTHERIGHT(rmLhs .template triangularView<Lower>(), cmRhs);
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69 | VERIFY_TRSM_ONTHERIGHT(rmLhs.conjugate().template triangularView<UnitUpper>(), rmRhs);
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70 |
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71 | int c = internal::random<int>(0,cols-1);
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72 | VERIFY_TRSM(rmLhs.template triangularView<Lower>(), rmRhs.col(c));
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73 | VERIFY_TRSM(cmLhs.template triangularView<Lower>(), rmRhs.col(c));
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74 | }
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75 |
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76 | void test_product_trsolve()
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77 | {
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78 | for(int i = 0; i < g_repeat ; i++)
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79 | {
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80 | // matrices
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81 | CALL_SUBTEST_1((trsolve<float,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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82 | CALL_SUBTEST_2((trsolve<double,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE),internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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83 | CALL_SUBTEST_3((trsolve<std::complex<float>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
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84 | CALL_SUBTEST_4((trsolve<std::complex<double>,Dynamic,Dynamic>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2),internal::random<int>(1,EIGEN_TEST_MAX_SIZE/2))));
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85 |
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86 | // vectors
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87 | CALL_SUBTEST_1((trsolve<float,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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88 | CALL_SUBTEST_5((trsolve<std::complex<double>,Dynamic,1>(internal::random<int>(1,EIGEN_TEST_MAX_SIZE))));
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89 | CALL_SUBTEST_6((trsolve<float,1,1>()));
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90 | CALL_SUBTEST_7((trsolve<float,1,2>()));
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91 | CALL_SUBTEST_8((trsolve<std::complex<float>,4,1>()));
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92 | }
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93 | }
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