// Ceres Solver - A fast non-linear least squares minimizer
// Copyright 2015 Google Inc. All rights reserved.
// http://ceres-solver.org/
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// Author: sameeragarwal@google.com (Sameer Agarwal)

#include "ceres/parameter_block_ordering.h"

#include <cstddef>
#include <memory>
#include <unordered_set>
#include <vector>

#include "ceres/cost_function.h"
#include "ceres/graph.h"
#include "ceres/problem_impl.h"
#include "ceres/program.h"
#include "ceres/sized_cost_function.h"
#include "ceres/stl_util.h"
#include "gtest/gtest.h"

namespace ceres {
namespace internal {

using std::vector;

typedef Graph<ParameterBlock*> HessianGraph;
typedef std::unordered_set<ParameterBlock*> VertexSet;

template <int M, int N1 = 0, int N2 = 0, int N3 = 0>
class DummyCostFunction: public SizedCostFunction<M, N1, N2, N3> {
  virtual bool Evaluate(double const* const* parameters,
                        double* residuals,
                        double** jacobians) const {
    return true;
  }
};

class SchurOrderingTest : public ::testing::Test {
 protected :
  virtual void SetUp() {
    // The explicit calls to AddParameterBlock are necessary because
    // the below tests depend on the specific numbering of the
    // parameter blocks.
    problem_.AddParameterBlock(x_, 3);
    problem_.AddParameterBlock(y_, 4);
    problem_.AddParameterBlock(z_, 5);
    problem_.AddParameterBlock(w_, 6);

    problem_.AddResidualBlock(new DummyCostFunction<2, 3>, NULL, x_);
    problem_.AddResidualBlock(new DummyCostFunction<6, 5, 4>, NULL, z_, y_);
    problem_.AddResidualBlock(new DummyCostFunction<3, 3, 5>, NULL, x_, z_);
    problem_.AddResidualBlock(new DummyCostFunction<7, 5, 3>, NULL, z_, x_);
    problem_.AddResidualBlock(new DummyCostFunction<1, 5, 3, 6>, NULL,
                              z_, x_, w_);
  }

  ProblemImpl problem_;
  double x_[3], y_[4], z_[5], w_[6];
};

TEST_F(SchurOrderingTest, NoFixed) {
  const Program& program = problem_.program();
  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
  std::unique_ptr<HessianGraph> graph(CreateHessianGraph(program));

  const VertexSet& vertices = graph->vertices();
  EXPECT_EQ(vertices.size(), 4);

  for (int i = 0; i < 4; ++i) {
    EXPECT_TRUE(vertices.find(parameter_blocks[i]) != vertices.end());
  }

  {
    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[0]);
    EXPECT_EQ(neighbors.size(), 2);
    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
  }

  {
    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[1]);
    EXPECT_EQ(neighbors.size(), 1);
    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
  }

  {
    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[2]);
    EXPECT_EQ(neighbors.size(), 3);
    EXPECT_TRUE(neighbors.find(parameter_blocks[0]) != neighbors.end());
    EXPECT_TRUE(neighbors.find(parameter_blocks[1]) != neighbors.end());
    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
  }

  {
    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[3]);
    EXPECT_EQ(neighbors.size(), 2);
    EXPECT_TRUE(neighbors.find(parameter_blocks[0]) != neighbors.end());
    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
  }
}

TEST_F(SchurOrderingTest, AllFixed) {
  problem_.SetParameterBlockConstant(x_);
  problem_.SetParameterBlockConstant(y_);
  problem_.SetParameterBlockConstant(z_);
  problem_.SetParameterBlockConstant(w_);

  const Program& program = problem_.program();
  std::unique_ptr<HessianGraph> graph(CreateHessianGraph(program));
  EXPECT_EQ(graph->vertices().size(), 0);
}

TEST_F(SchurOrderingTest, OneFixed) {
  problem_.SetParameterBlockConstant(x_);

  const Program& program = problem_.program();
  const vector<ParameterBlock*>& parameter_blocks = program.parameter_blocks();
  std::unique_ptr<HessianGraph> graph(CreateHessianGraph(program));

  const VertexSet& vertices = graph->vertices();

  EXPECT_EQ(vertices.size(), 3);
  EXPECT_TRUE(vertices.find(parameter_blocks[0]) == vertices.end());

  for (int i = 1; i < 3; ++i) {
    EXPECT_TRUE(vertices.find(parameter_blocks[i]) != vertices.end());
  }

  {
    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[1]);
    EXPECT_EQ(neighbors.size(), 1);
    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
  }

  {
    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[2]);
    EXPECT_EQ(neighbors.size(), 2);
    EXPECT_TRUE(neighbors.find(parameter_blocks[1]) != neighbors.end());
    EXPECT_TRUE(neighbors.find(parameter_blocks[3]) != neighbors.end());
  }

  {
    const VertexSet& neighbors = graph->Neighbors(parameter_blocks[3]);
    EXPECT_EQ(neighbors.size(), 1);
    EXPECT_TRUE(neighbors.find(parameter_blocks[2]) != neighbors.end());
  }

  // The constant parameter block is at the end.
  vector<ParameterBlock*> ordering;
  ComputeSchurOrdering(program, &ordering);
  EXPECT_EQ(ordering.back(), parameter_blocks[0]);
}

}  // namespace internal
}  // namespace ceres