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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   //check diagonal()
     24   VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
     25   m2.diagonal() = 2 * m1.diagonal();
     26   m2.diagonal()[0] *= 3;
     27 
     28   if (rows>2)
     29   {
     30     enum {
     31       N1 = MatrixType::RowsAtCompileTime>2 ?  2 : 0,
     32       N2 = MatrixType::RowsAtCompileTime>1 ? -1 : 0
     33     };
     34 
     35     // check sub/super diagonal
     36     if(MatrixType::SizeAtCompileTime!=Dynamic)
     37     {
     38       VERIFY(m1.template diagonal<N1>().RowsAtCompileTime == m1.diagonal(N1).size());
     39       VERIFY(m1.template diagonal<N2>().RowsAtCompileTime == m1.diagonal(N2).size());
     40     }
     41 
     42     m2.template diagonal<N1>() = 2 * m1.template diagonal<N1>();
     43     VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
     44     m2.template diagonal<N1>()[0] *= 3;
     45     VERIFY_IS_APPROX(m2.template diagonal<N1>()[0], static_cast<Scalar>(6) * m1.template diagonal<N1>()[0]);
     46 
     47 
     48     m2.template diagonal<N2>() = 2 * m1.template diagonal<N2>();
     49     m2.template diagonal<N2>()[0] *= 3;
     50     VERIFY_IS_APPROX(m2.template diagonal<N2>()[0], static_cast<Scalar>(6) * m1.template diagonal<N2>()[0]);
     51 
     52     m2.diagonal(N1) = 2 * m1.diagonal(N1);
     53     VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
     54     m2.diagonal(N1)[0] *= 3;
     55     VERIFY_IS_APPROX(m2.diagonal(N1)[0], static_cast<Scalar>(6) * m1.diagonal(N1)[0]);
     56 
     57     m2.diagonal(N2) = 2 * m1.diagonal(N2);
     58     VERIFY_IS_APPROX(m2.template diagonal<N2>(), static_cast<Scalar>(2) * m1.diagonal(N2));
     59     m2.diagonal(N2)[0] *= 3;
     60     VERIFY_IS_APPROX(m2.diagonal(N2)[0], static_cast<Scalar>(6) * m1.diagonal(N2)[0]);
     61   }
     62 }
     63 
     64 void test_diagonal()
     65 {
     66   for(int i = 0; i < g_repeat; i++) {
     67     CALL_SUBTEST_1( diagonal(Matrix<float, 1, 1>()) );
     68     CALL_SUBTEST_1( diagonal(Matrix<float, 4, 9>()) );
     69     CALL_SUBTEST_1( diagonal(Matrix<float, 7, 3>()) );
     70     CALL_SUBTEST_2( diagonal(Matrix4d()) );
     71     CALL_SUBTEST_2( diagonal(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     72     CALL_SUBTEST_2( diagonal(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     73     CALL_SUBTEST_2( diagonal(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     74     CALL_SUBTEST_1( diagonal(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     75     CALL_SUBTEST_1( diagonal(Matrix<float,Dynamic,4>(3, 4)) );
     76   }
     77 }
     78