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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 (at) 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 
     10 #include "main.h"
     11 
     12 template<typename MatrixType> void diagonal(const MatrixType& m)
     13 {
     14   typedef typename MatrixType::Index Index;
     15   typedef typename MatrixType::Scalar Scalar;
     16 
     17   Index rows = m.rows();
     18   Index cols = m.cols();
     19 
     20   MatrixType m1 = MatrixType::Random(rows, cols),
     21              m2 = MatrixType::Random(rows, cols);
     22 
     23   Scalar s1 = internal::random<Scalar>();
     24 
     25   //check diagonal()
     26   VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
     27   m2.diagonal() = 2 * m1.diagonal();
     28   m2.diagonal()[0] *= 3;
     29 
     30   if (rows>2)
     31   {
     32     enum {
     33       N1 = MatrixType::RowsAtCompileTime>2 ?  2 : 0,
     34       N2 = MatrixType::RowsAtCompileTime>1 ? -1 : 0
     35     };
     36 
     37     // check sub/super diagonal
     38     if(MatrixType::SizeAtCompileTime!=Dynamic)
     39     {
     40       VERIFY(m1.template diagonal<N1>().RowsAtCompileTime == m1.diagonal(N1).size());
     41       VERIFY(m1.template diagonal<N2>().RowsAtCompileTime == m1.diagonal(N2).size());
     42     }
     43 
     44     m2.template diagonal<N1>() = 2 * m1.template diagonal<N1>();
     45     VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
     46     m2.template diagonal<N1>()[0] *= 3;
     47     VERIFY_IS_APPROX(m2.template diagonal<N1>()[0], static_cast<Scalar>(6) * m1.template diagonal<N1>()[0]);
     48 
     49 
     50     m2.template diagonal<N2>() = 2 * m1.template diagonal<N2>();
     51     m2.template diagonal<N2>()[0] *= 3;
     52     VERIFY_IS_APPROX(m2.template diagonal<N2>()[0], static_cast<Scalar>(6) * m1.template diagonal<N2>()[0]);
     53 
     54     m2.diagonal(N1) = 2 * m1.diagonal(N1);
     55     VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
     56     m2.diagonal(N1)[0] *= 3;
     57     VERIFY_IS_APPROX(m2.diagonal(N1)[0], static_cast<Scalar>(6) * m1.diagonal(N1)[0]);
     58 
     59     m2.diagonal(N2) = 2 * m1.diagonal(N2);
     60     VERIFY_IS_APPROX(m2.template diagonal<N2>(), static_cast<Scalar>(2) * m1.diagonal(N2));
     61     m2.diagonal(N2)[0] *= 3;
     62     VERIFY_IS_APPROX(m2.diagonal(N2)[0], static_cast<Scalar>(6) * m1.diagonal(N2)[0]);
     63 
     64     m2.diagonal(N2).x() = s1;
     65     VERIFY_IS_APPROX(m2.diagonal(N2).x(), s1);
     66     m2.diagonal(N2).coeffRef(0) = Scalar(2)*s1;
     67     VERIFY_IS_APPROX(m2.diagonal(N2).coeff(0), Scalar(2)*s1);
     68   }
     69 }
     70 
     71 template<typename MatrixType> void diagonal_assert(const MatrixType& m) {
     72   Index rows = m.rows();
     73   Index cols = m.cols();
     74 
     75   MatrixType m1 = MatrixType::Random(rows, cols);
     76 
     77   if (rows>=2 && cols>=2)
     78   {
     79     VERIFY_RAISES_ASSERT( m1 += m1.diagonal() );
     80     VERIFY_RAISES_ASSERT( m1 -= m1.diagonal() );
     81     VERIFY_RAISES_ASSERT( m1.array() *= m1.diagonal().array() );
     82     VERIFY_RAISES_ASSERT( m1.array() /= m1.diagonal().array() );
     83   }
     84 }
     85 
     86 void test_diagonal()
     87 {
     88   for(int i = 0; i < g_repeat; i++) {
     89     CALL_SUBTEST_1( diagonal(Matrix<float, 1, 1>()) );
     90     CALL_SUBTEST_1( diagonal(Matrix<float, 4, 9>()) );
     91     CALL_SUBTEST_1( diagonal(Matrix<float, 7, 3>()) );
     92     CALL_SUBTEST_2( diagonal(Matrix4d()) );
     93     CALL_SUBTEST_2( diagonal(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     94     CALL_SUBTEST_2( diagonal(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     95     CALL_SUBTEST_2( diagonal(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     96     CALL_SUBTEST_1( diagonal(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     97     CALL_SUBTEST_1( diagonal(Matrix<float,Dynamic,4>(3, 4)) );
     98   }
     99 
    100   CALL_SUBTEST_1( diagonal_assert(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
    101 }
    102