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// 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
// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
// ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
// LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
// CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
// SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
// CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
// ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
// POSSIBILITY OF SUCH DAMAGE.
//
// Author: sameeragarwal@google.com (Sameer Agarwal)
#include "gtest/gtest.h"
#include "ceres/autodiff_cost_function.h"
#include "ceres/linear_solver.h"
#include "ceres/parameter_block.h"
#include "ceres/problem_impl.h"
#include "ceres/program.h"
#include "ceres/residual_block.h"
#include "ceres/solver_impl.h"
#include "ceres/sized_cost_function.h"
namespace ceres {
namespace internal {
// Templated base class for the CostFunction signatures.
template <int kNumResiduals, int N0, int N1, int N2>
class MockCostFunctionBase : public
SizedCostFunction<kNumResiduals, N0, N1, N2> {
public:
virtual bool Evaluate(double const* const* parameters,
double* residuals,
double** jacobians) const {
// Do nothing. This is never called.
return true;
}
};
class UnaryCostFunction : public MockCostFunctionBase<2, 1, 0, 0> {};
class BinaryCostFunction : public MockCostFunctionBase<2, 1, 1, 0> {};
class TernaryCostFunction : public MockCostFunctionBase<2, 1, 1, 1> {};
TEST(SolverImpl, RemoveFixedBlocksNothingConstant) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &y);
problem.AddResidualBlock(new TernaryCostFunction(), NULL, &x, &y, &z);
string error;
{
int num_eliminate_blocks = 0;
Program program(*problem.mutable_program());
EXPECT_TRUE(SolverImpl::RemoveFixedBlocksFromProgram(&program,
&num_eliminate_blocks,
&error));
EXPECT_EQ(program.NumParameterBlocks(), 3);
EXPECT_EQ(program.NumResidualBlocks(), 3);
EXPECT_EQ(num_eliminate_blocks, 0);
}
// Check that num_eliminate_blocks is preserved, when it contains
// all blocks.
{
int num_eliminate_blocks = 3;
Program program(problem.program());
EXPECT_TRUE(SolverImpl::RemoveFixedBlocksFromProgram(&program,
&num_eliminate_blocks,
&error));
EXPECT_EQ(program.NumParameterBlocks(), 3);
EXPECT_EQ(program.NumResidualBlocks(), 3);
EXPECT_EQ(num_eliminate_blocks, 3);
}
}
TEST(SolverImpl, RemoveFixedBlocksAllParameterBlocksConstant) {
ProblemImpl problem;
double x;
problem.AddParameterBlock(&x, 1);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x);
problem.SetParameterBlockConstant(&x);
int num_eliminate_blocks = 0;
Program program(problem.program());
string error;
EXPECT_TRUE(SolverImpl::RemoveFixedBlocksFromProgram(&program,
&num_eliminate_blocks,
&error));
EXPECT_EQ(program.NumParameterBlocks(), 0);
EXPECT_EQ(program.NumResidualBlocks(), 0);
EXPECT_EQ(num_eliminate_blocks, 0);
}
TEST(SolverImpl, RemoveFixedBlocksNoResidualBlocks) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
int num_eliminate_blocks = 0;
Program program(problem.program());
string error;
EXPECT_TRUE(SolverImpl::RemoveFixedBlocksFromProgram(&program,
&num_eliminate_blocks,
&error));
EXPECT_EQ(program.NumParameterBlocks(), 0);
EXPECT_EQ(program.NumResidualBlocks(), 0);
EXPECT_EQ(num_eliminate_blocks, 0);
}
TEST(SolverImpl, RemoveFixedBlocksOneParameterBlockConstant) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &y);
problem.SetParameterBlockConstant(&x);
int num_eliminate_blocks = 0;
Program program(problem.program());
string error;
EXPECT_TRUE(SolverImpl::RemoveFixedBlocksFromProgram(&program,
&num_eliminate_blocks,
&error));
EXPECT_EQ(program.NumParameterBlocks(), 1);
EXPECT_EQ(program.NumResidualBlocks(), 1);
EXPECT_EQ(num_eliminate_blocks, 0);
}
TEST(SolverImpl, RemoveFixedBlocksNumEliminateBlocks) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x);
problem.AddResidualBlock(new TernaryCostFunction(), NULL, &x, &y, &z);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &y);
problem.SetParameterBlockConstant(&x);
int num_eliminate_blocks = 2;
Program program(problem.program());
string error;
EXPECT_TRUE(SolverImpl::RemoveFixedBlocksFromProgram(&program,
&num_eliminate_blocks,
&error));
EXPECT_EQ(program.NumParameterBlocks(), 2);
EXPECT_EQ(program.NumResidualBlocks(), 2);
EXPECT_EQ(num_eliminate_blocks, 1);
}
TEST(SolverImpl, ReorderResidualBlockNonSchurSolver) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x);
problem.AddResidualBlock(new TernaryCostFunction(), NULL, &x, &y, &z);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &y);
const vector<ResidualBlock*>& residual_blocks =
problem.program().residual_blocks();
vector<ResidualBlock*> current_residual_blocks(residual_blocks);
Solver::Options options;
options.linear_solver_type = SPARSE_NORMAL_CHOLESKY;
string error;
EXPECT_TRUE(SolverImpl::MaybeReorderResidualBlocks(options,
problem.mutable_program(),
&error));
EXPECT_EQ(current_residual_blocks.size(), residual_blocks.size());
for (int i = 0; i < current_residual_blocks.size(); ++i) {
EXPECT_EQ(current_residual_blocks[i], residual_blocks[i]);
}
}
TEST(SolverImpl, ReorderResidualBlockNumEliminateBlockDeathTest) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x);
problem.AddResidualBlock(new TernaryCostFunction(), NULL, &x, &y, &z);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &y);
Solver::Options options;
options.linear_solver_type = DENSE_SCHUR;
options.num_eliminate_blocks = 0;
string error;
EXPECT_DEATH(
SolverImpl::MaybeReorderResidualBlocks(
options, problem.mutable_program(), &error),
"Congratulations");
}
TEST(SolverImpl, ReorderResidualBlockNormalFunction) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &z, &x);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &z, &y);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &z);
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &y);
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &y);
Solver::Options options;
options.linear_solver_type = DENSE_SCHUR;
options.num_eliminate_blocks = 2;
const vector<ResidualBlock*>& residual_blocks =
problem.program().residual_blocks();
vector<ResidualBlock*> expected_residual_blocks;
// This is a bit fragile, but it serves the purpose. We know the
// bucketing algorithm that the reordering function uses, so we
// expect the order for residual blocks for each e_block to be
// filled in reverse.
expected_residual_blocks.push_back(residual_blocks[4]);
expected_residual_blocks.push_back(residual_blocks[1]);
expected_residual_blocks.push_back(residual_blocks[0]);
expected_residual_blocks.push_back(residual_blocks[5]);
expected_residual_blocks.push_back(residual_blocks[2]);
expected_residual_blocks.push_back(residual_blocks[3]);
Program* program = problem.mutable_program();
program->SetParameterOffsetsAndIndex();
string error;
EXPECT_TRUE(SolverImpl::MaybeReorderResidualBlocks(options,
problem.mutable_program(),
&error));
EXPECT_EQ(residual_blocks.size(), expected_residual_blocks.size());
for (int i = 0; i < expected_residual_blocks.size(); ++i) {
EXPECT_EQ(residual_blocks[i], expected_residual_blocks[i]);
}
}
TEST(SolverImpl, ReorderResidualBlockNormalFunctionWithFixedBlocks) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
// Set one parameter block constant.
problem.SetParameterBlockConstant(&z);
// Mark residuals for x's row block with "x" for readability.
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &x); // 0 x
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &z, &x); // 1 x
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &z, &y); // 2
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &z, &y); // 3
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &z); // 4 x
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &z, &y); // 5
problem.AddResidualBlock(new BinaryCostFunction(), NULL, &x, &z); // 6 x
problem.AddResidualBlock(new UnaryCostFunction(), NULL, &y); // 7
Solver::Options options;
options.linear_solver_type = DENSE_SCHUR;
options.num_eliminate_blocks = 2;
// Create the reduced program. This should remove the fixed block "z",
// marking the index to -1 at the same time. x and y also get indices.
string error;
scoped_ptr<Program> reduced_program(
SolverImpl::CreateReducedProgram(&options, &problem, &error));
const vector<ResidualBlock*>& residual_blocks =
problem.program().residual_blocks();
// This is a bit fragile, but it serves the purpose. We know the
// bucketing algorithm that the reordering function uses, so we
// expect the order for residual blocks for each e_block to be
// filled in reverse.
vector<ResidualBlock*> expected_residual_blocks;
// Row block for residuals involving "x". These are marked "x" in the block
// of code calling AddResidual() above.
expected_residual_blocks.push_back(residual_blocks[6]);
expected_residual_blocks.push_back(residual_blocks[4]);
expected_residual_blocks.push_back(residual_blocks[1]);
expected_residual_blocks.push_back(residual_blocks[0]);
// Row block for residuals involving "y".
expected_residual_blocks.push_back(residual_blocks[7]);
expected_residual_blocks.push_back(residual_blocks[5]);
expected_residual_blocks.push_back(residual_blocks[3]);
expected_residual_blocks.push_back(residual_blocks[2]);
EXPECT_TRUE(SolverImpl::MaybeReorderResidualBlocks(options,
reduced_program.get(),
&error));
EXPECT_EQ(reduced_program->residual_blocks().size(),
expected_residual_blocks.size());
for (int i = 0; i < expected_residual_blocks.size(); ++i) {
EXPECT_EQ(reduced_program->residual_blocks()[i],
expected_residual_blocks[i]);
}
}
TEST(SolverImpl, ApplyUserOrderingOrderingTooSmall) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
vector<double*> ordering;
ordering.push_back(&x);
ordering.push_back(&z);
Program program(problem.program());
string error;
EXPECT_FALSE(SolverImpl::ApplyUserOrdering(problem,
ordering,
&program,
&error));
}
TEST(SolverImpl, ApplyUserOrderingHasDuplicates) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
vector<double*> ordering;
ordering.push_back(&x);
ordering.push_back(&z);
ordering.push_back(&z);
Program program(problem.program());
string error;
EXPECT_FALSE(SolverImpl::ApplyUserOrdering(problem,
ordering,
&program,
&error));
}
TEST(SolverImpl, ApplyUserOrderingNormal) {
ProblemImpl problem;
double x;
double y;
double z;
problem.AddParameterBlock(&x, 1);
problem.AddParameterBlock(&y, 1);
problem.AddParameterBlock(&z, 1);
vector<double*> ordering;
ordering.push_back(&x);
ordering.push_back(&z);
ordering.push_back(&y);
Program* program = problem.mutable_program();
string error;
EXPECT_TRUE(SolverImpl::ApplyUserOrdering(problem,
ordering,
program,
&error));
const vector<ParameterBlock*>& parameter_blocks = program->parameter_blocks();
EXPECT_EQ(parameter_blocks.size(), 3);
EXPECT_EQ(parameter_blocks[0]->user_state(), &x);
EXPECT_EQ(parameter_blocks[1]->user_state(), &z);
EXPECT_EQ(parameter_blocks[2]->user_state(), &y);
}
#if defined(CERES_NO_SUITESPARSE) && defined(CERES_NO_CXSPARSE)
TEST(SolverImpl, CreateLinearSolverNoSuiteSparse) {
Solver::Options options;
options.linear_solver_type = SPARSE_NORMAL_CHOLESKY;
string error;
EXPECT_FALSE(SolverImpl::CreateLinearSolver(&options, &error));
}
#endif
TEST(SolverImpl, CreateLinearSolverNegativeMaxNumIterations) {
Solver::Options options;
options.linear_solver_type = DENSE_QR;
options.linear_solver_max_num_iterations = -1;
string error;
EXPECT_EQ(SolverImpl::CreateLinearSolver(&options, &error),
static_cast<LinearSolver*>(NULL));
}
TEST(SolverImpl, CreateLinearSolverNegativeMinNumIterations) {
Solver::Options options;
options.linear_solver_type = DENSE_QR;
options.linear_solver_min_num_iterations = -1;
string error;
EXPECT_EQ(SolverImpl::CreateLinearSolver(&options, &error),
static_cast<LinearSolver*>(NULL));
}
TEST(SolverImpl, CreateLinearSolverMaxLessThanMinIterations) {
Solver::Options options;
options.linear_solver_type = DENSE_QR;
options.linear_solver_min_num_iterations = 10;
options.linear_solver_max_num_iterations = 5;
string error;
EXPECT_EQ(SolverImpl::CreateLinearSolver(&options, &error),
static_cast<LinearSolver*>(NULL));
}
TEST(SolverImpl, CreateLinearSolverZeroNumEliminateBlocks) {
Solver::Options options;
options.num_eliminate_blocks = 0;
options.linear_solver_type = DENSE_SCHUR;
string error;
scoped_ptr<LinearSolver> solver(
SolverImpl::CreateLinearSolver(&options, &error));
EXPECT_TRUE(solver != NULL);
#if defined(CERES_NO_SUITESPARSE) && defined(CERES_NO_CXSPARSE)
EXPECT_EQ(options.linear_solver_type, DENSE_QR);
#else
EXPECT_EQ(options.linear_solver_type, SPARSE_NORMAL_CHOLESKY);
#endif
}
TEST(SolverImpl, CreateLinearSolverDenseSchurMultipleThreads) {
Solver::Options options;
options.num_eliminate_blocks = 1;
options.linear_solver_type = DENSE_SCHUR;
options.num_linear_solver_threads = 2;
string error;
scoped_ptr<LinearSolver> solver(
SolverImpl::CreateLinearSolver(&options, &error));
EXPECT_TRUE(solver != NULL);
EXPECT_EQ(options.linear_solver_type, DENSE_SCHUR);
EXPECT_EQ(options.num_linear_solver_threads, 1);
}
TEST(SolverImpl, CreateIterativeLinearSolverForDogleg) {
Solver::Options options;
options.trust_region_strategy_type = DOGLEG;
string error;
options.linear_solver_type = ITERATIVE_SCHUR;
EXPECT_EQ(SolverImpl::CreateLinearSolver(&options, &error),
static_cast<LinearSolver*>(NULL));
options.linear_solver_type = CGNR;
EXPECT_EQ(SolverImpl::CreateLinearSolver(&options, &error),
static_cast<LinearSolver*>(NULL));
}
TEST(SolverImpl, CreateLinearSolverNormalOperation) {
Solver::Options options;
scoped_ptr<LinearSolver> solver;
options.linear_solver_type = DENSE_QR;
string error;
solver.reset(SolverImpl::CreateLinearSolver(&options, &error));
EXPECT_EQ(options.linear_solver_type, DENSE_QR);
EXPECT_TRUE(solver.get() != NULL);
#ifndef CERES_NO_SUITESPARSE
options.linear_solver_type = SPARSE_NORMAL_CHOLESKY;
options.sparse_linear_algebra_library = SUITE_SPARSE;
solver.reset(SolverImpl::CreateLinearSolver(&options, &error));
EXPECT_EQ(options.linear_solver_type, SPARSE_NORMAL_CHOLESKY);
EXPECT_TRUE(solver.get() != NULL);
#endif
#ifndef CERES_NO_CXSPARSE
options.linear_solver_type = SPARSE_NORMAL_CHOLESKY;
options.sparse_linear_algebra_library = CX_SPARSE;
solver.reset(SolverImpl::CreateLinearSolver(&options, &error));
EXPECT_EQ(options.linear_solver_type, SPARSE_NORMAL_CHOLESKY);
EXPECT_TRUE(solver.get() != NULL);
#endif
options.linear_solver_type = DENSE_SCHUR;
options.num_eliminate_blocks = 2;
solver.reset(SolverImpl::CreateLinearSolver(&options, &error));
EXPECT_EQ(options.linear_solver_type, DENSE_SCHUR);
EXPECT_TRUE(solver.get() != NULL);
options.linear_solver_type = SPARSE_SCHUR;
options.num_eliminate_blocks = 2;
solver.reset(SolverImpl::CreateLinearSolver(&options, &error));
#if defined(CERES_NO_SUITESPARSE) && defined(CERES_NO_CXSPARSE)
EXPECT_TRUE(SolverImpl::CreateLinearSolver(&options, &error) == NULL);
#else
EXPECT_TRUE(solver.get() != NULL);
EXPECT_EQ(options.linear_solver_type, SPARSE_SCHUR);
#endif
options.linear_solver_type = ITERATIVE_SCHUR;
options.num_eliminate_blocks = 2;
solver.reset(SolverImpl::CreateLinearSolver(&options, &error));
EXPECT_EQ(options.linear_solver_type, ITERATIVE_SCHUR);
EXPECT_TRUE(solver.get() != NULL);
}
struct QuadraticCostFunction {
template <typename T> bool operator()(const T* const x,
T* residual) const {
residual[0] = T(5.0) - *x;
return true;
}
};
struct RememberingCallback : public IterationCallback {
RememberingCallback(double *x) : calls(0), x(x) {}
virtual ~RememberingCallback() {}
virtual CallbackReturnType operator()(const IterationSummary& summary) {
x_values.push_back(*x);
return SOLVER_CONTINUE;
}
int calls;
double *x;
vector<double> x_values;
};
TEST(SolverImpl, UpdateStateEveryIterationOption) {
double x = 50.0;
const double original_x = x;
scoped_ptr<CostFunction> cost_function(
new AutoDiffCostFunction<QuadraticCostFunction, 1, 1>(
new QuadraticCostFunction));
Problem::Options problem_options;
problem_options.cost_function_ownership = DO_NOT_TAKE_OWNERSHIP;
ProblemImpl problem(problem_options);
problem.AddResidualBlock(cost_function.get(), NULL, &x);
Solver::Options options;
options.linear_solver_type = DENSE_QR;
RememberingCallback callback(&x);
options.callbacks.push_back(&callback);
Solver::Summary summary;
int num_iterations;
// First try: no updating.
SolverImpl::Solve(options, &problem, &summary);
num_iterations = summary.num_successful_steps +
summary.num_unsuccessful_steps;
EXPECT_GT(num_iterations, 1);
for (int i = 0; i < callback.x_values.size(); ++i) {
EXPECT_EQ(50.0, callback.x_values[i]);
}
// Second try: with updating
x = 50.0;
options.update_state_every_iteration = true;
callback.x_values.clear();
SolverImpl::Solve(options, &problem, &summary);
num_iterations = summary.num_successful_steps +
summary.num_unsuccessful_steps;
EXPECT_GT(num_iterations, 1);
EXPECT_EQ(original_x, callback.x_values[0]);
EXPECT_NE(original_x, callback.x_values[1]);
}
// The parameters must be in separate blocks so that they can be individually
// set constant or not.
struct Quadratic4DCostFunction {
template <typename T> bool operator()(const T* const x,
const T* const y,
const T* const z,
const T* const w,
T* residual) const {
// A 4-dimension axis-aligned quadratic.
residual[0] = T(10.0) - *x +
T(20.0) - *y +
T(30.0) - *z +
T(40.0) - *w;
return true;
}
};
TEST(SolverImpl, ConstantParameterBlocksDoNotChangeAndStateInvariantKept) {
double x = 50.0;
double y = 50.0;
double z = 50.0;
double w = 50.0;
const double original_x = 50.0;
const double original_y = 50.0;
const double original_z = 50.0;
const double original_w = 50.0;
scoped_ptr<CostFunction> cost_function(
new AutoDiffCostFunction<Quadratic4DCostFunction, 1, 1, 1, 1, 1>(
new Quadratic4DCostFunction));
Problem::Options problem_options;
problem_options.cost_function_ownership = DO_NOT_TAKE_OWNERSHIP;
ProblemImpl problem(problem_options);
problem.AddResidualBlock(cost_function.get(), NULL, &x, &y, &z, &w);
problem.SetParameterBlockConstant(&x);
problem.SetParameterBlockConstant(&w);
Solver::Options options;
options.linear_solver_type = DENSE_QR;
Solver::Summary summary;
SolverImpl::Solve(options, &problem, &summary);
// Verify only the non-constant parameters were mutated.
EXPECT_EQ(original_x, x);
EXPECT_NE(original_y, y);
EXPECT_NE(original_z, z);
EXPECT_EQ(original_w, w);
// Check that the parameter block state pointers are pointing back at the
// user state, instead of inside a random temporary vector made by Solve().
EXPECT_EQ(&x, problem.program().parameter_blocks()[0]->state());
EXPECT_EQ(&y, problem.program().parameter_blocks()[1]->state());
EXPECT_EQ(&z, problem.program().parameter_blocks()[2]->state());
EXPECT_EQ(&w, problem.program().parameter_blocks()[3]->state());
}
} // namespace internal
} // namespace ceres