// 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/
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are met:
//
// * Redistributions of source code must retain the above copyright notice,
// this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above copyright notice,
// this list of conditions and the following disclaimer in the documentation
// and/or other materials provided with the distribution.
// * Neither the name of Google Inc. nor the names of its contributors may be
// used to endorse or promote products derived from this software without
// specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
// AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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// Author: sameeragarwal@google.com (Sameer Agarwal)
#include "ceres/casts.h"
#include "ceres/compressed_row_sparse_matrix.h"
#include "ceres/internal/scoped_ptr.h"
#include "ceres/linear_least_squares_problems.h"
#include "ceres/linear_solver.h"
#include "ceres/triplet_sparse_matrix.h"
#include "ceres/types.h"
#include "glog/logging.h"
#include "gtest/gtest.h"
namespace ceres {
namespace internal {
class UnsymmetricLinearSolverTest : public ::testing::Test {
protected :
virtual void SetUp() {
scoped_ptr<LinearLeastSquaresProblem> problem(
CreateLinearLeastSquaresProblemFromId(0));
CHECK_NOTNULL(problem.get());
A_.reset(down_cast<TripletSparseMatrix*>(problem->A.release()));
b_.reset(problem->b.release());
D_.reset(problem->D.release());
sol_unregularized_.reset(problem->x.release());
sol_regularized_.reset(problem->x_D.release());
}
void TestSolver(
LinearSolverType linear_solver_type,
SparseLinearAlgebraLibraryType sparse_linear_algebra_library) {
LinearSolver::Options options;
options.type = linear_solver_type;
options.sparse_linear_algebra_library = sparse_linear_algebra_library;
options.use_block_amd = false;
scoped_ptr<LinearSolver> solver(LinearSolver::Create(options));
LinearSolver::PerSolveOptions per_solve_options;
LinearSolver::Summary unregularized_solve_summary;
LinearSolver::Summary regularized_solve_summary;
Vector x_unregularized(A_->num_cols());
Vector x_regularized(A_->num_cols());
scoped_ptr<SparseMatrix> transformed_A;
if (linear_solver_type == DENSE_QR ||
linear_solver_type == DENSE_NORMAL_CHOLESKY) {
transformed_A.reset(new DenseSparseMatrix(*A_));
} else if (linear_solver_type == SPARSE_NORMAL_CHOLESKY) {
transformed_A.reset(new CompressedRowSparseMatrix(*A_));
} else {
LOG(FATAL) << "Unknown linear solver : " << linear_solver_type;
}
// Unregularized
unregularized_solve_summary =
solver->Solve(transformed_A.get(),
b_.get(),
per_solve_options,
x_unregularized.data());
// Regularized solution
per_solve_options.D = D_.get();
regularized_solve_summary =
solver->Solve(transformed_A.get(),
b_.get(),
per_solve_options,
x_regularized.data());
EXPECT_EQ(unregularized_solve_summary.termination_type, TOLERANCE);
for (int i = 0; i < A_->num_cols(); ++i) {
EXPECT_NEAR(sol_unregularized_[i], x_unregularized[i], 1e-8);
}
EXPECT_EQ(regularized_solve_summary.termination_type, TOLERANCE);
for (int i = 0; i < A_->num_cols(); ++i) {
EXPECT_NEAR(sol_regularized_[i], x_regularized[i], 1e-8);
}
}
scoped_ptr<TripletSparseMatrix> A_;
scoped_array<double> b_;
scoped_array<double> D_;
scoped_array<double> sol_unregularized_;
scoped_array<double> sol_regularized_;
};
TEST_F(UnsymmetricLinearSolverTest, DenseQR) {
TestSolver(DENSE_QR, SUITE_SPARSE);
}
TEST_F(UnsymmetricLinearSolverTest, DenseNormalCholesky) {
TestSolver(DENSE_NORMAL_CHOLESKY, SUITE_SPARSE);
}
#ifndef CERES_NO_SUITESPARSE
TEST_F(UnsymmetricLinearSolverTest, SparseNormalCholeskyUsingSuiteSparse) {
TestSolver(SPARSE_NORMAL_CHOLESKY, SUITE_SPARSE);
}
#endif
#ifndef CERES_NO_CXSPARSE
TEST_F(UnsymmetricLinearSolverTest, SparseNormalCholeskyUsingCXSparse) {
TestSolver(SPARSE_NORMAL_CHOLESKY, CX_SPARSE);
}
#endif
} // namespace internal
} // namespace ceres