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      1 // Ceres Solver - A fast non-linear least squares minimizer
      2 // Copyright 2013 Google Inc. All rights reserved.
      3 // http://code.google.com/p/ceres-solver/
      4 //
      5 // Redistribution and use in source and binary forms, with or without
      6 // modification, are permitted provided that the following conditions are met:
      7 //
      8 // * Redistributions of source code must retain the above copyright notice,
      9 //   this list of conditions and the following disclaimer.
     10 // * Redistributions in binary form must reproduce the above copyright notice,
     11 //   this list of conditions and the following disclaimer in the documentation
     12 //   and/or other materials provided with the distribution.
     13 // * Neither the name of Google Inc. nor the names of its contributors may be
     14 //   used to endorse or promote products derived from this software without
     15 //   specific prior written permission.
     16 //
     17 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
     18 // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     19 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     20 // ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
     21 // LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
     22 // CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
     23 // SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
     24 // INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
     25 // CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     26 // ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     27 // POSSIBILITY OF SUCH DAMAGE.
     28 //
     29 // Author: sameeragarwal (at) google.com (Sameer Agarwal)
     30 
     31 #include <limits>
     32 #include <vector>
     33 
     34 #include "ceres/block_random_access_diagonal_matrix.h"
     35 #include "ceres/internal/eigen.h"
     36 #include "glog/logging.h"
     37 #include "gtest/gtest.h"
     38 
     39 namespace ceres {
     40 namespace internal {
     41 
     42 TEST(BlockRandomAccessDiagonalMatrix, GetCell) {
     43   vector<int> blocks;
     44   blocks.push_back(3);
     45   blocks.push_back(4);
     46   blocks.push_back(5);
     47   const int num_rows = 3 + 4 + 5;
     48   const int num_nonzeros =  3 * 3 + 4 * 4 + 5 * 5;
     49 
     50   BlockRandomAccessDiagonalMatrix m(blocks);
     51   EXPECT_EQ(m.num_rows(), num_rows);
     52   EXPECT_EQ(m.num_cols(), num_rows);
     53 
     54   for (int i = 0; i < blocks.size(); ++i) {
     55     const int row_block_id = i;
     56     int col_block_id;
     57     int row;
     58     int col;
     59     int row_stride;
     60     int col_stride;
     61 
     62     for (int j = 0; j < blocks.size(); ++j) {
     63       col_block_id = j;
     64       CellInfo* cell =  m.GetCell(row_block_id, col_block_id,
     65                                   &row, &col,
     66                                   &row_stride, &col_stride);
     67       // Off diagonal entries are not present.
     68       if (i != j) {
     69         EXPECT_TRUE(cell == NULL);
     70         continue;
     71       }
     72 
     73       EXPECT_TRUE(cell != NULL);
     74       EXPECT_EQ(row, 0);
     75       EXPECT_EQ(col, 0);
     76       EXPECT_EQ(row_stride, blocks[row_block_id]);
     77       EXPECT_EQ(col_stride, blocks[col_block_id]);
     78 
     79       // Write into the block
     80       MatrixRef(cell->values, row_stride, col_stride).block(
     81           row, col, blocks[row_block_id], blocks[col_block_id]) =
     82           (row_block_id + 1) * (col_block_id +1) *
     83           Matrix::Ones(blocks[row_block_id], blocks[col_block_id]);
     84     }
     85   }
     86 
     87   const TripletSparseMatrix* tsm = m.matrix();
     88   EXPECT_EQ(tsm->num_nonzeros(), num_nonzeros);
     89   EXPECT_EQ(tsm->max_num_nonzeros(), num_nonzeros);
     90 
     91   Matrix dense;
     92   tsm->ToDenseMatrix(&dense);
     93 
     94   double kTolerance = 1e-14;
     95 
     96   // (0,0)
     97   EXPECT_NEAR((dense.block(0, 0, 3, 3) - Matrix::Ones(3, 3)).norm(),
     98               0.0,
     99               kTolerance);
    100 
    101   // (1,1)
    102   EXPECT_NEAR((dense.block(3, 3, 4, 4) - 2 * 2 * Matrix::Ones(4, 4)).norm(),
    103               0.0,
    104               kTolerance);
    105 
    106   // (1,1)
    107   EXPECT_NEAR((dense.block(7, 7, 5, 5) - 3 * 3 * Matrix::Ones(5, 5)).norm(),
    108               0.0,
    109               kTolerance);
    110 
    111   // There is nothing else in the matrix besides these four blocks.
    112   EXPECT_NEAR(dense.norm(), sqrt(9.0 + 16. * 16. + 81.0 * 25.), kTolerance);
    113 }
    114 
    115 }  // namespace internal
    116 }  // namespace ceres
    117