10ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Ceres Solver - A fast non-linear least squares minimizer
20ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
30ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// http://code.google.com/p/ceres-solver/
40ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
50ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Redistribution and use in source and binary forms, with or without
60ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// modification, are permitted provided that the following conditions are met:
70ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
80ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Redistributions of source code must retain the above copyright notice,
90ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   this list of conditions and the following disclaimer.
100ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Redistributions in binary form must reproduce the above copyright notice,
110ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   this list of conditions and the following disclaimer in the documentation
120ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   and/or other materials provided with the distribution.
130ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// * Neither the name of Google Inc. nor the names of its contributors may be
140ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   used to endorse or promote products derived from this software without
150ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//   specific prior written permission.
160ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
170ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
180ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
190ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
200ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
210ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
220ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
230ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
240ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
250ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
260ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
270ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// POSSIBILITY OF SUCH DAMAGE.
280ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong//
290ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong// Author: sameeragarwal@google.com (Sameer Agarwal)
300ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
310ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/parameter_block_ordering.h"
320ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
330ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include <cstddef>
340ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include <vector>
350ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "gtest/gtest.h"
360ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/collections_port.h"
370ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/graph.h"
380ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/problem_impl.h"
390ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/program.h"
400ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/stl_util.h"
410ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/cost_function.h"
420ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/internal/scoped_ptr.h"
430ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong#include "ceres/sized_cost_function.h"
440ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
450ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongnamespace ceres {
460ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongnamespace internal {
470ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
480ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongtypedef Graph<ParameterBlock*> HessianGraph;
490ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongtypedef HashSet<ParameterBlock*> VertexSet;
500ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
510ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongtemplate <int M, int N1 = 0, int N2 = 0, int N3 = 0>
520ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongclass DummyCostFunction: public SizedCostFunction<M, N1, N2, N3> {
530ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  virtual bool Evaluate(double const* const* parameters,
540ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                        double* residuals,
550ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                        double** jacobians) const {
560ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    return true;
570ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
580ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong};
590ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
600ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kongclass SchurOrderingTest : public ::testing::Test {
610ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong protected :
620ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  virtual void SetUp() {
630ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    // The explicit calls to AddParameterBlock are necessary because
640ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    // the below tests depend on the specific numbering of the
650ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    // parameter blocks.
660ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddParameterBlock(x_, 3);
670ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddParameterBlock(y_, 4);
680ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddParameterBlock(z_, 5);
690ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddParameterBlock(w_, 6);
700ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
710ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddResidualBlock(new DummyCostFunction<2, 3>, NULL, x_);
720ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddResidualBlock(new DummyCostFunction<6, 5, 4>, NULL, z_, y_);
730ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddResidualBlock(new DummyCostFunction<3, 3, 5>, NULL, x_, z_);
740ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddResidualBlock(new DummyCostFunction<7, 5, 3>, NULL, z_, x_);
750ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    problem_.AddResidualBlock(new DummyCostFunction<1, 5, 3, 6>, NULL,
760ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong                              z_, x_, w_);
770ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
780ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
790ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  ProblemImpl problem_;
800ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  double x_[3], y_[4], z_[5], w_[6];
810ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong};
820ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
830ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus KongTEST_F(SchurOrderingTest, NoFixed) {
840ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  const Program& program = problem_.program();
850ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
860ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  scoped_ptr<HessianGraph> graph(CreateHessianGraph(program));
870ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
880ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  const VertexSet& vertices = graph->vertices();
890ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(vertices.size(), 4);
900ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
910ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 0; i < 4; ++i) {
920ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(vertices.find(parameter_blocks[i]) != vertices.end());
930ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
940ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
950ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  {
960ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[0]);
970ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(neighbors.size(), 2);
980ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
990ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
1000ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1010ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1020ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  {
1030ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[1]);
1040ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(neighbors.size(), 1);
1050ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
1060ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1070ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1080ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  {
1090ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[2]);
1100ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(neighbors.size(), 3);
1110ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[0]) != neighbors.end());
1120ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[1]) != neighbors.end());
1130ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
1140ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1150ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1160ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  {
1170ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[3]);
1180ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(neighbors.size(), 2);
1190ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[0]) != neighbors.end());
1200ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
1210ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1220ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
1230ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1240ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus KongTEST_F(SchurOrderingTest, AllFixed) {
1250ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  problem_.SetParameterBlockConstant(x_);
1260ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  problem_.SetParameterBlockConstant(y_);
1270ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  problem_.SetParameterBlockConstant(z_);
1280ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  problem_.SetParameterBlockConstant(w_);
1290ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1300ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  const Program& program = problem_.program();
1310ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  scoped_ptr<HessianGraph> graph(CreateHessianGraph(program));
1320ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(graph->vertices().size(), 0);
1330ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
1340ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1350ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus KongTEST_F(SchurOrderingTest, OneFixed) {
1360ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  problem_.SetParameterBlockConstant(x_);
1370ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1380ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  const Program& program = problem_.program();
1390ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
1400ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  scoped_ptr<HessianGraph> graph(CreateHessianGraph(program));
1410ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1420ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  const VertexSet& vertices = graph->vertices();
1430ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1440ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(vertices.size(), 3);
1450ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_TRUE(vertices.find(parameter_blocks[0]) == vertices.end());
1460ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1470ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  for (int i = 1; i < 3; ++i) {
1480ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(vertices.find(parameter_blocks[i]) != vertices.end());
1490ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1500ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1510ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  {
1520ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[1]);
1530ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(neighbors.size(), 1);
1540ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
1550ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1560ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1570ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  {
1580ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[2]);
1590ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(neighbors.size(), 2);
1600ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[1]) != neighbors.end());
1610ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
1620ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1630ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1640ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  {
1650ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[3]);
1660ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_EQ(neighbors.size(), 1);
1670ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
1680ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  }
1690ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1700ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  // The constant parameter block is at the end.
1710ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  vector<ParameterBlock*> ordering;
1720ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  ComputeSchurOrdering(program, &ordering);
1730ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong  EXPECT_EQ(ordering.back(), parameter_blocks[0]);
1740ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}
1750ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong
1760ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}  // namespace internal
1770ae28bd5885b5daa526898fcf7c323dc2c3e1963Angus Kong}  // namespace ceres
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