// Ceres Solver - A fast non-linear least squares minimizer
// Copyright 2010, 2011, 2012 Google Inc. All rights reserved.
// http://code.google.com/p/ceres-solver/
//
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// Author: sameeragarwal@google.com (Sameer Agarwal)

#include "ceres/parameter_block_ordering.h"

#include "ceres/graph.h"
#include "ceres/graph_algorithms.h"
#include "ceres/internal/scoped_ptr.h"
#include "ceres/map_util.h"
#include "ceres/parameter_block.h"
#include "ceres/program.h"
#include "ceres/residual_block.h"
#include "glog/logging.h"

namespace ceres {
namespace internal {

int ComputeStableSchurOrdering(const Program& program,
                         vector<ParameterBlock*>* ordering) {
  CHECK_NOTNULL(ordering)->clear();

  scoped_ptr<Graph< ParameterBlock*> > graph(CreateHessianGraph(program));
  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
  const HashSet<ParameterBlock*>& vertices = graph->vertices();
  for (int i = 0; i < parameter_blocks.size(); ++i) {
    if (vertices.count(parameter_blocks[i]) > 0) {
      ordering->push_back(parameter_blocks[i]);
    }
  }

  int independent_set_size = StableIndependentSetOrdering(*graph, ordering);

  // Add the excluded blocks to back of the ordering vector.
  for (int i = 0; i < parameter_blocks.size(); ++i) {
    ParameterBlock* parameter_block = parameter_blocks[i];
    if (parameter_block->IsConstant()) {
      ordering->push_back(parameter_block);
    }
  }

  return independent_set_size;
}

int ComputeSchurOrdering(const Program& program,
                         vector<ParameterBlock*>* ordering) {
  CHECK_NOTNULL(ordering)->clear();

  scoped_ptr<Graph< ParameterBlock*> > graph(CreateHessianGraph(program));
  int independent_set_size = IndependentSetOrdering(*graph, ordering);
  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();

  // Add the excluded blocks to back of the ordering vector.
  for (int i = 0; i < parameter_blocks.size(); ++i) {
    ParameterBlock* parameter_block = parameter_blocks[i];
    if (parameter_block->IsConstant()) {
      ordering->push_back(parameter_block);
    }
  }

  return independent_set_size;
}

void ComputeRecursiveIndependentSetOrdering(const Program& program,
                                            ParameterBlockOrdering* ordering) {
  CHECK_NOTNULL(ordering)->Clear();
  const vector<ParameterBlock*> parameter_blocks = program.parameter_blocks();
  scoped_ptr<Graph< ParameterBlock*> > graph(CreateHessianGraph(program));

  int num_covered = 0;
  int round = 0;
  while (num_covered < parameter_blocks.size()) {
    vector<ParameterBlock*> independent_set_ordering;
    const int independent_set_size =
        IndependentSetOrdering(*graph, &independent_set_ordering);
    for (int i = 0; i < independent_set_size; ++i) {
      ParameterBlock* parameter_block = independent_set_ordering[i];
      ordering->AddElementToGroup(parameter_block->mutable_user_state(), round);
      graph->RemoveVertex(parameter_block);
    }
    num_covered += independent_set_size;
    ++round;
  }
}

Graph<ParameterBlock*>*
CreateHessianGraph(const Program& program) {
  Graph<ParameterBlock*>* graph = CHECK_NOTNULL(new Graph<ParameterBlock*>);
  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
  for (int i = 0; i < parameter_blocks.size(); ++i) {
    ParameterBlock* parameter_block = parameter_blocks[i];
    if (!parameter_block->IsConstant()) {
      graph->AddVertex(parameter_block);
    }
  }

  const vector<ResidualBlock*>& residual_blocks = program.residual_blocks();
  for (int i = 0; i < residual_blocks.size(); ++i) {
    const ResidualBlock* residual_block = residual_blocks[i];
    const int num_parameter_blocks = residual_block->NumParameterBlocks();
    ParameterBlock* const* parameter_blocks =
        residual_block->parameter_blocks();
    for (int j = 0; j < num_parameter_blocks; ++j) {
      if (parameter_blocks[j]->IsConstant()) {
        continue;
      }

      for (int k = j + 1; k < num_parameter_blocks; ++k) {
        if (parameter_blocks[k]->IsConstant()) {
          continue;
        }

        graph->AddEdge(parameter_blocks[j], parameter_blocks[k]);
      }
    }
  }

  return graph;
}

void OrderingToGroupSizes(const ParameterBlockOrdering* ordering,
                          vector<int>* group_sizes) {
  CHECK_NOTNULL(group_sizes)->clear();
  if (ordering == NULL) {
    return;
  }

  const map<int, set<double*> >& group_to_elements =
      ordering->group_to_elements();
  for (map<int, set<double*> >::const_iterator it = group_to_elements.begin();
       it != group_to_elements.end();
       ++it) {
    group_sizes->push_back(it->second.size());
  }
}

}  // namespace internal
}  // namespace ceres