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1 // Ceres Solver - A fast non-linear least squares minimizer
2 // Copyright 2010, 2011, 2012 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@google.com (Sameer Agarwal)
30 
31 #include "ceres/schur_ordering.h"
32 
33 #include "ceres/graph.h"
34 #include "ceres/graph_algorithms.h"
35 #include "ceres/internal/scoped_ptr.h"
36 #include "ceres/map_util.h"
37 #include "ceres/parameter_block.h"
38 #include "ceres/program.h"
39 #include "ceres/residual_block.h"
40 #include "glog/logging.h"
41 
42 namespace ceres {
43 namespace internal {
44 
ComputeSchurOrdering(const Program & program,vector<ParameterBlock * > * ordering)45 int ComputeSchurOrdering(const Program& program,
46                          vector<ParameterBlock*>* ordering) {
47   CHECK_NOTNULL(ordering)->clear();
48 
49   scoped_ptr<Graph< ParameterBlock*> > graph(
50       CHECK_NOTNULL(CreateHessianGraph(program)));
51   int independent_set_size = IndependentSetOrdering(*graph, ordering);
52   const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
53 
54   // Add the excluded blocks to back of the ordering vector.
55   for (int i = 0; i < parameter_blocks.size(); ++i) {
56     ParameterBlock* parameter_block = parameter_blocks[i];
57     if (parameter_block->IsConstant()) {
58       ordering->push_back(parameter_block);
59     }
60   }
61 
62   return independent_set_size;
63 }
64 
65 Graph<ParameterBlock*>*
CreateHessianGraph(const Program & program)66 CreateHessianGraph(const Program& program) {
67   Graph<ParameterBlock*>* graph = new Graph<ParameterBlock*>;
68   const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
69   for (int i = 0; i < parameter_blocks.size(); ++i) {
70     ParameterBlock* parameter_block = parameter_blocks[i];
71     if (!parameter_block->IsConstant()) {
72       graph->AddVertex(parameter_block);
73     }
74   }
75 
76   const vector<ResidualBlock*>& residual_blocks = program.residual_blocks();
77   for (int i = 0; i < residual_blocks.size(); ++i) {
78     const ResidualBlock* residual_block = residual_blocks[i];
79     const int num_parameter_blocks = residual_block->NumParameterBlocks();
80     ParameterBlock* const* parameter_blocks =
81         residual_block->parameter_blocks();
82     for (int j = 0; j < num_parameter_blocks; ++j) {
83       if (parameter_blocks[j]->IsConstant()) {
84         continue;
85       }
86 
87       for (int k = j + 1; k < num_parameter_blocks; ++k) {
88         if (parameter_blocks[k]->IsConstant()) {
89           continue;
90         }
91 
92         graph->AddEdge(parameter_blocks[j], parameter_blocks[k]);
93       }
94     }
95   }
96 
97   return graph;
98 }
99 
100 }  // namespace internal
101 }  // namespace ceres
102