// Ceres Solver - A fast non-linear least squares minimizer
// Copyright 2015 Google Inc. All rights reserved.
// http://ceres-solver.org/
//
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// modification, are permitted provided that the following conditions are met:
//
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// Author: sameeragarwal@google.com (Sameer Agarwal)

#ifndef CERES_INTERNAL_PARAMETER_BLOCK_ORDERING_H_
#define CERES_INTERNAL_PARAMETER_BLOCK_ORDERING_H_

#include <vector>
#include "ceres/ordered_groups.h"
#include "ceres/graph.h"
#include "ceres/types.h"

namespace ceres {
namespace internal {

class Program;
class ParameterBlock;

// Uses an approximate independent set ordering to order the parameter
// blocks of a problem so that it is suitable for use with Schur
// complement based solvers. The output variable ordering contains an
// ordering of the parameter blocks and the return value is size of
// the independent set or the number of e_blocks (see
// schur_complement_solver.h for an explanation). Constant parameters
// are added to the end.
//
// The ordering vector has the structure
//
// ordering = [independent set,
//             complement of the independent set,
//             fixed blocks]
int ComputeSchurOrdering(const Program& program,
                         std::vector<ParameterBlock* >* ordering);

// Same as above, except that ties while computing the independent set
// ordering are resolved in favour of the order in which the parameter
// blocks occur in the program.
int ComputeStableSchurOrdering(const Program& program,
                               std::vector<ParameterBlock* >* ordering);

// Use an approximate independent set ordering to decompose the
// parameter blocks of a problem in a sequence of independent
// sets. The ordering covers all the non-constant parameter blocks in
// the program.
void ComputeRecursiveIndependentSetOrdering(const Program& program,
                                            ParameterBlockOrdering* ordering);

// Builds a graph on the parameter blocks of a Problem, whose
// structure reflects the sparsity structure of the Hessian. Each
// vertex corresponds to a parameter block in the Problem except for
// parameter blocks that are marked constant. An edge connects two
// parameter blocks, if they co-occur in a residual block.
Graph<ParameterBlock*>* CreateHessianGraph(const Program& program);

// Iterate over each of the groups in order of their priority and fill
// summary with their sizes.
void OrderingToGroupSizes(const ParameterBlockOrdering* ordering,
                          std::vector<int>* group_sizes);

}  // namespace internal
}  // namespace ceres

#endif  // CERES_INTERNAL_PARAMETER_BLOCK_ORDERING_H_
