11d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Ceres Solver - A fast non-linear least squares minimizer
21d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Copyright 2013 Google Inc. All rights reserved.
31d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// http://code.google.com/p/ceres-solver/
41d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
51d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Redistribution and use in source and binary forms, with or without
61d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// modification, are permitted provided that the following conditions are met:
71d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
81d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// * Redistributions of source code must retain the above copyright notice,
91d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   this list of conditions and the following disclaimer.
101d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// * Redistributions in binary form must reproduce the above copyright notice,
111d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   this list of conditions and the following disclaimer in the documentation
121d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   and/or other materials provided with the distribution.
131d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// * Neither the name of Google Inc. nor the names of its contributors may be
141d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   used to endorse or promote products derived from this software without
151d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//   specific prior written permission.
161d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
171d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
181d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
191d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
201d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
211d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
221d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
231d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
241d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
251d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
261d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
271d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// POSSIBILITY OF SUCH DAMAGE.
281d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling//
291d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// Author: sameeragarwal@google.com (Sameer Agarwal)
301d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
311d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include <limits>
321d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include <vector>
331d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include "ceres/block_random_access_crs_matrix.h"
341d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include "ceres/internal/eigen.h"
351d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include "glog/logging.h"
361d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling#include "gtest/gtest.h"
371d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
381d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingnamespace ceres {
391d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingnamespace internal {
401d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
411d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha HaeberlingTEST(BlockRandomAccessCRSMatrix, GetCell) {
421d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  vector<int> blocks;
431d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  blocks.push_back(3);
441d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  blocks.push_back(4);
451d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  blocks.push_back(5);
461d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  const int num_rows = 3 + 4 + 5;
471d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
481d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  set< pair<int, int> > block_pairs;
491d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  int num_nonzeros = 0;
501d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  block_pairs.insert(make_pair(0, 0));
511d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  num_nonzeros += blocks[0] * blocks[0];
521d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
531d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  block_pairs.insert(make_pair(1, 1));
541d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  num_nonzeros += blocks[1] * blocks[1];
551d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
561d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  block_pairs.insert(make_pair(1, 2));
571d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  num_nonzeros += blocks[1] * blocks[2];
581d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
591d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  block_pairs.insert(make_pair(2, 0));
601d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  num_nonzeros += blocks[2] * blocks[0];
611d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
621d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  BlockRandomAccessCRSMatrix m(blocks, block_pairs);
631d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_EQ(m.num_rows(), num_rows);
641d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_EQ(m.num_cols(), num_rows);
651d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
661d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  for (set<pair<int, int> >::const_iterator it = block_pairs.begin();
671d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling       it != block_pairs.end();
681d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling       ++it) {
691d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    const int row_block_id = it->first;
701d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    const int col_block_id = it->second;
711d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    int row;
721d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    int col;
731d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    int row_stride;
741d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    int col_stride;
751d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    CellInfo* cell =  m.GetCell(row_block_id, col_block_id,
761d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling                                &row, &col,
771d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling                                &row_stride, &col_stride);
781d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    EXPECT_TRUE(cell != NULL);
791d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    EXPECT_EQ(row, 0);
801d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    EXPECT_EQ(col, 0);
811d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
821d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    // Write into the block.
831d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    MatrixRef(cell->values, row_stride, col_stride).block(
841d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling        row, col, blocks[row_block_id], blocks[col_block_id]) =
851d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling        (row_block_id + 1) * (col_block_id +1) *
861d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling        Matrix::Ones(blocks[row_block_id], blocks[col_block_id]);
871d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  }
881d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
891d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  const CompressedRowSparseMatrix* crsm = m.matrix();
901d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_EQ(crsm->num_nonzeros(), num_nonzeros);
911d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
921d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  Matrix dense;
931d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  crsm->ToDenseMatrix(&dense);
941d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
951d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  double kTolerance = 1e-14;
961d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
971d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // (0,0)
981d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_NEAR((dense.block(0, 0, 3, 3) - Matrix::Ones(3, 3)).norm(),
991d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              0.0,
1001d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              kTolerance);
1011d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // (1,1)
1021d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_NEAR((dense.block(3, 3, 4, 4) - 2 * 2 * Matrix::Ones(4, 4)).norm(),
1031d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              0.0,
1041d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              kTolerance);
1051d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // (1,2)
1061d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_NEAR((dense.block(3, 3 + 4, 4, 5) - 2 * 3 * Matrix::Ones(4, 5)).norm(),
1071d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              0.0,
1081d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              kTolerance);
1091d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // (2,0)
1101d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_NEAR((dense.block(3 + 4, 0, 5, 3) - 3 * 1 * Matrix::Ones(5, 3)).norm(),
1111d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              0.0,
1121d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              kTolerance);
1131d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
1141d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  // There is nothing else in the matrix besides these four blocks.
1151d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  EXPECT_NEAR(dense.norm(), sqrt(9. + 16. * 16. + 36. * 20. + 9. * 15.),
1161d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling              kTolerance);
1171d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling}
1181d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
1191d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// IntPairToLong is private, thus this fixture is needed to access and
1201d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling// test it.
1211d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberlingclass BlockRandomAccessCRSMatrixTest : public ::testing::Test {
1221d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling public:
1231d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  virtual void SetUp() {
1241d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    vector<int> blocks;
1251d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    blocks.push_back(1);
1261d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    set< pair<int, int> > block_pairs;
1271d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    block_pairs.insert(make_pair(0, 0));
1281d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    m_.reset(new BlockRandomAccessCRSMatrix(blocks, block_pairs));
1291d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  }
1301d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
1311d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  void CheckIntPair(int a, int b) {
1321d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    int64 value = m_->IntPairToLong(a, b);
1331d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    EXPECT_GT(value, 0) << "Overflow a = " << a << " b = " << b;
1341d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    EXPECT_GT(value, a) << "Overflow a = " << a << " b = " << b;
1351d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling    EXPECT_GT(value, b) << "Overflow a = " << a << " b = " << b;
1361d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  }
1371d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
1381d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling private:
1391d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  scoped_ptr<BlockRandomAccessCRSMatrix> m_;
1401d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling};
1411d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
1421d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha HaeberlingTEST_F(BlockRandomAccessCRSMatrixTest, IntPairToLongOverflow) {
1431d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling  CheckIntPair(numeric_limits<int>::max(), numeric_limits<int>::max());
1441d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling}
1451d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
1461d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling
1471d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling}  // namespace internal
1481d2624a10e2c559f8ba9ef89eaa30832c0a83a96Sascha Haeberling}  // namespace ceres
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