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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   typedef typename MatrixType::RealScalar RealScalar;
     17   typedef Matrix<Scalar, MatrixType::RowsAtCompileTime, 1> VectorType;
     18   typedef Matrix<Scalar, 1, MatrixType::ColsAtCompileTime> RowVectorType;
     19 
     20   Index rows = m.rows();
     21   Index cols = m.cols();
     22 
     23   MatrixType m1 = MatrixType::Random(rows, cols),
     24              m2 = MatrixType::Random(rows, cols);
     25 
     26   //check diagonal()
     27   VERIFY_IS_APPROX(m1.diagonal(), m1.transpose().diagonal());
     28   m2.diagonal() = 2 * m1.diagonal();
     29   m2.diagonal()[0] *= 3;
     30 
     31   if (rows>2)
     32   {
     33     enum {
     34       N1 = MatrixType::RowsAtCompileTime>1 ?  1 : 0,
     35       N2 = MatrixType::RowsAtCompileTime>2 ? -2 : 0
     36     };
     37 
     38     // check sub/super diagonal
     39     if(m1.template diagonal<N1>().RowsAtCompileTime!=Dynamic)
     40     {
     41       VERIFY(m1.template diagonal<N1>().RowsAtCompileTime == m1.diagonal(N1).size());
     42     }
     43     if(m1.template diagonal<N2>().RowsAtCompileTime!=Dynamic)
     44     {
     45       VERIFY(m1.template diagonal<N2>().RowsAtCompileTime == m1.diagonal(N2).size());
     46     }
     47 
     48     m2.template diagonal<N1>() = 2 * m1.template diagonal<N1>();
     49     VERIFY_IS_APPROX(m2.template diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
     50     m2.template diagonal<N1>()[0] *= 3;
     51     VERIFY_IS_APPROX(m2.template diagonal<N1>()[0], static_cast<Scalar>(6) * m1.template diagonal<N1>()[0]);
     52 
     53 
     54     m2.template diagonal<N2>() = 2 * m1.template diagonal<N2>();
     55     m2.template diagonal<N2>()[0] *= 3;
     56     VERIFY_IS_APPROX(m2.template diagonal<N2>()[0], static_cast<Scalar>(6) * m1.template diagonal<N2>()[0]);
     57 
     58     m2.diagonal(N1) = 2 * m1.diagonal(N1);
     59     VERIFY_IS_APPROX(m2.diagonal<N1>(), static_cast<Scalar>(2) * m1.diagonal(N1));
     60     m2.diagonal(N1)[0] *= 3;
     61     VERIFY_IS_APPROX(m2.diagonal(N1)[0], static_cast<Scalar>(6) * m1.diagonal(N1)[0]);
     62 
     63     m2.diagonal(N2) = 2 * m1.diagonal(N2);
     64     VERIFY_IS_APPROX(m2.diagonal<N2>(), static_cast<Scalar>(2) * m1.diagonal(N2));
     65     m2.diagonal(N2)[0] *= 3;
     66     VERIFY_IS_APPROX(m2.diagonal(N2)[0], static_cast<Scalar>(6) * m1.diagonal(N2)[0]);
     67   }
     68 }
     69 
     70 void test_diagonal()
     71 {
     72   for(int i = 0; i < g_repeat; i++) {
     73     CALL_SUBTEST_1( diagonal(Matrix<float, 1, 1>()) );
     74     CALL_SUBTEST_1( diagonal(Matrix<float, 4, 9>()) );
     75     CALL_SUBTEST_1( diagonal(Matrix<float, 7, 3>()) );
     76     CALL_SUBTEST_2( diagonal(Matrix4d()) );
     77     CALL_SUBTEST_2( diagonal(MatrixXcf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     78     CALL_SUBTEST_2( diagonal(MatrixXi(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     79     CALL_SUBTEST_2( diagonal(MatrixXcd(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     80     CALL_SUBTEST_1( diagonal(MatrixXf(internal::random<int>(1,EIGEN_TEST_MAX_SIZE), internal::random<int>(1,EIGEN_TEST_MAX_SIZE))) );
     81     CALL_SUBTEST_1( diagonal(Matrix<float,Dynamic,4>(3, 4)) );
     82   }
     83 }
     84