diagonal.cpp 4.0 KB

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  1. // This file is part of Eigen, a lightweight C++ template library
  2. // for linear algebra.
  3. //
  4. // Copyright (C) 2006-2010 Benoit Jacob <jacob.benoit.1@gmail.com>
  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. #include "main.h"
  10. template<typename MatrixType> void diagonal(const MatrixType& m)
  11. {
  12. typedef typename MatrixType::Scalar Scalar;
  13. Index rows = m.rows();
  14. Index cols = m.cols();
  15. MatrixType m1 = MatrixType::Random(rows, cols),
  16. m2 = MatrixType::Random(rows, cols);
  17. Scalar s1 = internal::random<Scalar>();
  18. //check diagonal()
  19. VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
  20. m2.diagonal() = 2 * m1.diagonal();
  21. m2.diagonal()[0] *= 3;
  22. if (rows>2)
  23. {
  24. enum {
  25. N1 = MatrixType::RowsAtCompileTime>2 ? 2 : 0,
  26. N2 = MatrixType::RowsAtCompileTime>1 ? -1 : 0
  27. };
  28. // check sub/super diagonal
  29. if(MatrixType::SizeAtCompileTime!=Dynamic)
  30. {
  31. VERIFY(m1.template diagonal<N1>().RowsAtCompileTime == m1.diagonal(N1).size());
  32. VERIFY(m1.template diagonal<N2>().RowsAtCompileTime == m1.diagonal(N2).size());
  33. }
  34. m2.template diagonal<N1>() = 2 * m1.template diagonal<N1>();
  35. VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
  36. m2.template diagonal<N1>()[0] *= 3;
  37. VERIFY_IS_APPROX(m2.template diagonal<N1>()[0], static_cast<Scalar>(6) * m1.template diagonal<N1>()[0]);
  38. m2.template diagonal<N2>() = 2 * m1.template diagonal<N2>();
  39. m2.template diagonal<N2>()[0] *= 3;
  40. VERIFY_IS_APPROX(m2.template diagonal<N2>()[0], static_cast<Scalar>(6) * m1.template diagonal<N2>()[0]);
  41. m2.diagonal(N1) = 2 * m1.diagonal(N1);
  42. VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
  43. m2.diagonal(N1)[0] *= 3;
  44. VERIFY_IS_APPROX(m2.diagonal(N1)[0], static_cast<Scalar>(6) * m1.diagonal(N1)[0]);
  45. m2.diagonal(N2) = 2 * m1.diagonal(N2);
  46. VERIFY_IS_APPROX(m2.template diagonal<N2>(), static_cast<Scalar>(2) * m1.diagonal(N2));
  47. m2.diagonal(N2)[0] *= 3;
  48. VERIFY_IS_APPROX(m2.diagonal(N2)[0], static_cast<Scalar>(6) * m1.diagonal(N2)[0]);
  49. m2.diagonal(N2).x() = s1;
  50. VERIFY_IS_APPROX(m2.diagonal(N2).x(), s1);
  51. m2.diagonal(N2).coeffRef(0) = Scalar(2)*s1;
  52. VERIFY_IS_APPROX(m2.diagonal(N2).coeff(0), Scalar(2)*s1);
  53. }
  54. VERIFY( m1.diagonal( cols).size()==0 );
  55. VERIFY( m1.diagonal(-rows).size()==0 );
  56. }
  57. template<typename MatrixType> void diagonal_assert(const MatrixType& m) {
  58. Index rows = m.rows();
  59. Index cols = m.cols();
  60. MatrixType m1 = MatrixType::Random(rows, cols);
  61. if (rows>=2 && cols>=2)
  62. {
  63. VERIFY_RAISES_ASSERT( m1 += m1.diagonal() );
  64. VERIFY_RAISES_ASSERT( m1 -= m1.diagonal() );
  65. VERIFY_RAISES_ASSERT( m1.array() *= m1.diagonal().array() );
  66. VERIFY_RAISES_ASSERT( m1.array() /= m1.diagonal().array() );
  67. }
  68. VERIFY_RAISES_ASSERT( m1.diagonal(cols+1) );
  69. VERIFY_RAISES_ASSERT( m1.diagonal(-(rows+1)) );
  70. }
  71. void test_diagonal()
  72. {
  73. for(int i = 0; i < g_repeat; i++) {
  74. CALL_SUBTEST_1( diagonal(Matrix<float, 1, 1>()) );
  75. CALL_SUBTEST_1( diagonal(Matrix<float, 4, 9>()) );
  76. CALL_SUBTEST_1( diagonal(Matrix<float, 7, 3>()) );
  77. CALL_SUBTEST_2( diagonal(Matrix4d()) );
  78. CALL_SUBTEST_2( diagonal(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
  79. CALL_SUBTEST_2( diagonal(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
  80. CALL_SUBTEST_2( diagonal(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
  81. CALL_SUBTEST_1( diagonal(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
  82. CALL_SUBTEST_1( diagonal(Matrix<float,Dynamic,4>(3, 4)) );
  83. CALL_SUBTEST_1( diagonal_assert(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
  84. }
  85. }