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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 #define COMPARE_CORNER(A,B) \
     13   VERIFY_IS_EQUAL(matrix.A, matrix.B); \
     14   VERIFY_IS_EQUAL(const_matrix.A, const_matrix.B);
     15 
     16 template<typename MatrixType> void corners(const MatrixType& m)
     17 {
     18   typedef typename MatrixType::Index Index;
     19   Index rows = m.rows();
     20   Index cols = m.cols();
     21 
     22   Index r = internal::random<Index>(1,rows);
     23   Index c = internal::random<Index>(1,cols);
     24 
     25   MatrixType matrix = MatrixType::Random(rows,cols);
     26   const MatrixType const_matrix = MatrixType::Random(rows,cols);
     27 
     28   COMPARE_CORNER(topLeftCorner(r,c), block(0,0,r,c));
     29   COMPARE_CORNER(topRightCorner(r,c), block(0,cols-c,r,c));
     30   COMPARE_CORNER(bottomLeftCorner(r,c), block(rows-r,0,r,c));
     31   COMPARE_CORNER(bottomRightCorner(r,c), block(rows-r,cols-c,r,c));
     32 
     33   Index sr = internal::random<Index>(1,rows) - 1;
     34   Index nr = internal::random<Index>(1,rows-sr);
     35   Index sc = internal::random<Index>(1,cols) - 1;
     36   Index nc = internal::random<Index>(1,cols-sc);
     37 
     38   COMPARE_CORNER(topRows(r), block(0,0,r,cols));
     39   COMPARE_CORNER(middleRows(sr,nr), block(sr,0,nr,cols));
     40   COMPARE_CORNER(bottomRows(r), block(rows-r,0,r,cols));
     41   COMPARE_CORNER(leftCols(c), block(0,0,rows,c));
     42   COMPARE_CORNER(middleCols(sc,nc), block(0,sc,rows,nc));
     43   COMPARE_CORNER(rightCols(c), block(0,cols-c,rows,c));
     44 }
     45 
     46 template<typename MatrixType, int CRows, int CCols, int SRows, int SCols> void corners_fixedsize()
     47 {
     48   MatrixType matrix = MatrixType::Random();
     49   const MatrixType const_matrix = MatrixType::Random();
     50 
     51   enum {
     52     rows = MatrixType::RowsAtCompileTime,
     53     cols = MatrixType::ColsAtCompileTime,
     54     r = CRows,
     55     c = CCols,
     56 	sr = SRows,
     57 	sc = SCols
     58   };
     59 
     60   VERIFY_IS_EQUAL((matrix.template topLeftCorner<r,c>()), (matrix.template block<r,c>(0,0)));
     61   VERIFY_IS_EQUAL((matrix.template topRightCorner<r,c>()), (matrix.template block<r,c>(0,cols-c)));
     62   VERIFY_IS_EQUAL((matrix.template bottomLeftCorner<r,c>()), (matrix.template block<r,c>(rows-r,0)));
     63   VERIFY_IS_EQUAL((matrix.template bottomRightCorner<r,c>()), (matrix.template block<r,c>(rows-r,cols-c)));
     64 
     65   VERIFY_IS_EQUAL((matrix.template topLeftCorner<r,c>()), (matrix.template topLeftCorner<r,Dynamic>(r,c)));
     66   VERIFY_IS_EQUAL((matrix.template topRightCorner<r,c>()), (matrix.template topRightCorner<r,Dynamic>(r,c)));
     67   VERIFY_IS_EQUAL((matrix.template bottomLeftCorner<r,c>()), (matrix.template bottomLeftCorner<r,Dynamic>(r,c)));
     68   VERIFY_IS_EQUAL((matrix.template bottomRightCorner<r,c>()), (matrix.template bottomRightCorner<r,Dynamic>(r,c)));
     69 
     70   VERIFY_IS_EQUAL((matrix.template topLeftCorner<r,c>()), (matrix.template topLeftCorner<Dynamic,c>(r,c)));
     71   VERIFY_IS_EQUAL((matrix.template topRightCorner<r,c>()), (matrix.template topRightCorner<Dynamic,c>(r,c)));
     72   VERIFY_IS_EQUAL((matrix.template bottomLeftCorner<r,c>()), (matrix.template bottomLeftCorner<Dynamic,c>(r,c)));
     73   VERIFY_IS_EQUAL((matrix.template bottomRightCorner<r,c>()), (matrix.template bottomRightCorner<Dynamic,c>(r,c)));
     74 
     75   VERIFY_IS_EQUAL((matrix.template topRows<r>()), (matrix.template block<r,cols>(0,0)));
     76   VERIFY_IS_EQUAL((matrix.template middleRows<r>(sr)), (matrix.template block<r,cols>(sr,0)));
     77   VERIFY_IS_EQUAL((matrix.template bottomRows<r>()), (matrix.template block<r,cols>(rows-r,0)));
     78   VERIFY_IS_EQUAL((matrix.template leftCols<c>()), (matrix.template block<rows,c>(0,0)));
     79   VERIFY_IS_EQUAL((matrix.template middleCols<c>(sc)), (matrix.template block<rows,c>(0,sc)));
     80   VERIFY_IS_EQUAL((matrix.template rightCols<c>()), (matrix.template block<rows,c>(0,cols-c)));
     81 
     82   VERIFY_IS_EQUAL((const_matrix.template topLeftCorner<r,c>()), (const_matrix.template block<r,c>(0,0)));
     83   VERIFY_IS_EQUAL((const_matrix.template topRightCorner<r,c>()), (const_matrix.template block<r,c>(0,cols-c)));
     84   VERIFY_IS_EQUAL((const_matrix.template bottomLeftCorner<r,c>()), (const_matrix.template block<r,c>(rows-r,0)));
     85   VERIFY_IS_EQUAL((const_matrix.template bottomRightCorner<r,c>()), (const_matrix.template block<r,c>(rows-r,cols-c)));
     86 
     87   VERIFY_IS_EQUAL((const_matrix.template topLeftCorner<r,c>()), (const_matrix.template topLeftCorner<r,Dynamic>(r,c)));
     88   VERIFY_IS_EQUAL((const_matrix.template topRightCorner<r,c>()), (const_matrix.template topRightCorner<r,Dynamic>(r,c)));
     89   VERIFY_IS_EQUAL((const_matrix.template bottomLeftCorner<r,c>()), (const_matrix.template bottomLeftCorner<r,Dynamic>(r,c)));
     90   VERIFY_IS_EQUAL((const_matrix.template bottomRightCorner<r,c>()), (const_matrix.template bottomRightCorner<r,Dynamic>(r,c)));
     91 
     92   VERIFY_IS_EQUAL((const_matrix.template topLeftCorner<r,c>()), (const_matrix.template topLeftCorner<Dynamic,c>(r,c)));
     93   VERIFY_IS_EQUAL((const_matrix.template topRightCorner<r,c>()), (const_matrix.template topRightCorner<Dynamic,c>(r,c)));
     94   VERIFY_IS_EQUAL((const_matrix.template bottomLeftCorner<r,c>()), (const_matrix.template bottomLeftCorner<Dynamic,c>(r,c)));
     95   VERIFY_IS_EQUAL((const_matrix.template bottomRightCorner<r,c>()), (const_matrix.template bottomRightCorner<Dynamic,c>(r,c)));
     96 
     97   VERIFY_IS_EQUAL((const_matrix.template topRows<r>()), (const_matrix.template block<r,cols>(0,0)));
     98   VERIFY_IS_EQUAL((const_matrix.template middleRows<r>(sr)), (const_matrix.template block<r,cols>(sr,0)));
     99   VERIFY_IS_EQUAL((const_matrix.template bottomRows<r>()), (const_matrix.template block<r,cols>(rows-r,0)));
    100   VERIFY_IS_EQUAL((const_matrix.template leftCols<c>()), (const_matrix.template block<rows,c>(0,0)));
    101   VERIFY_IS_EQUAL((const_matrix.template middleCols<c>(sc)), (const_matrix.template block<rows,c>(0,sc)));
    102   VERIFY_IS_EQUAL((const_matrix.template rightCols<c>()), (const_matrix.template block<rows,c>(0,cols-c)));
    103 }
    104 
    105 void test_corners()
    106 {
    107   for(int i = 0; i < g_repeat; i++) {
    108     CALL_SUBTEST_1( corners(Matrix<float, 1, 1>()) );
    109     CALL_SUBTEST_2( corners(Matrix4d()) );
    110     CALL_SUBTEST_3( corners(Matrix<int,10,12>()) );
    111     CALL_SUBTEST_4( corners(MatrixXcf(5, 7)) );
    112     CALL_SUBTEST_5( corners(MatrixXf(21, 20)) );
    113 
    114     CALL_SUBTEST_1(( corners_fixedsize<Matrix<float, 1, 1>, 1, 1, 0, 0>() ));
    115     CALL_SUBTEST_2(( corners_fixedsize<Matrix4d,2,2,1,1>() ));
    116     CALL_SUBTEST_3(( corners_fixedsize<Matrix<int,10,12>,4,7,5,2>() ));
    117   }
    118 }
    119