| // Ceres Solver - A fast non-linear least squares minimizer |
| // Copyright 2015 Google Inc. All rights reserved. |
| // http://ceres-solver.org/ |
| // |
| // 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 <cmath> |
| #include <limits> |
| #include <memory> |
| |
| #include "Eigen/Geometry" |
| #include "ceres/autodiff_local_parameterization.h" |
| #include "ceres/householder_vector.h" |
| #include "ceres/internal/autodiff.h" |
| #include "ceres/internal/eigen.h" |
| #include "ceres/local_parameterization.h" |
| #include "ceres/random.h" |
| #include "ceres/rotation.h" |
| #include "gtest/gtest.h" |
| |
| namespace ceres { |
| namespace internal { |
| |
| TEST(IdentityParameterization, EverythingTest) { |
| IdentityParameterization parameterization(3); |
| EXPECT_EQ(parameterization.GlobalSize(), 3); |
| EXPECT_EQ(parameterization.LocalSize(), 3); |
| |
| double x[3] = {1.0, 2.0, 3.0}; |
| double delta[3] = {0.0, 1.0, 2.0}; |
| double x_plus_delta[3] = {0.0, 0.0, 0.0}; |
| parameterization.Plus(x, delta, x_plus_delta); |
| EXPECT_EQ(x_plus_delta[0], 1.0); |
| EXPECT_EQ(x_plus_delta[1], 3.0); |
| EXPECT_EQ(x_plus_delta[2], 5.0); |
| |
| double jacobian[9]; |
| parameterization.ComputeJacobian(x, jacobian); |
| int k = 0; |
| for (int i = 0; i < 3; ++i) { |
| for (int j = 0; j < 3; ++j, ++k) { |
| EXPECT_EQ(jacobian[k], (i == j) ? 1.0 : 0.0); |
| } |
| } |
| |
| Matrix global_matrix = Matrix::Ones(10, 3); |
| Matrix local_matrix = Matrix::Zero(10, 3); |
| parameterization.MultiplyByJacobian(x, |
| 10, |
| global_matrix.data(), |
| local_matrix.data()); |
| EXPECT_EQ((local_matrix - global_matrix).norm(), 0.0); |
| } |
| |
| |
| TEST(SubsetParameterization, NegativeParameterIndexDeathTest) { |
| std::vector<int> constant_parameters; |
| constant_parameters.push_back(-1); |
| EXPECT_DEATH_IF_SUPPORTED( |
| SubsetParameterization parameterization(2, constant_parameters), |
| "greater than equal to zero"); |
| } |
| |
| TEST(SubsetParameterization, GreaterThanSizeParameterIndexDeathTest) { |
| std::vector<int> constant_parameters; |
| constant_parameters.push_back(2); |
| EXPECT_DEATH_IF_SUPPORTED( |
| SubsetParameterization parameterization(2, constant_parameters), |
| "less than the size"); |
| } |
| |
| TEST(SubsetParameterization, DuplicateParametersDeathTest) { |
| std::vector<int> constant_parameters; |
| constant_parameters.push_back(1); |
| constant_parameters.push_back(1); |
| EXPECT_DEATH_IF_SUPPORTED( |
| SubsetParameterization parameterization(2, constant_parameters), |
| "duplicates"); |
| } |
| |
| TEST(SubsetParameterization, |
| ProductParameterizationWithZeroLocalSizeSubsetParameterization1) { |
| std::vector<int> constant_parameters; |
| constant_parameters.push_back(0); |
| LocalParameterization* subset_param = |
| new SubsetParameterization(1, constant_parameters); |
| LocalParameterization* identity_param = new IdentityParameterization(2); |
| ProductParameterization product_param(subset_param, identity_param); |
| EXPECT_EQ(product_param.GlobalSize(), 3); |
| EXPECT_EQ(product_param.LocalSize(), 2); |
| double x[] = {1.0, 1.0, 1.0}; |
| double delta[] = {2.0, 3.0}; |
| double x_plus_delta[] = {0.0, 0.0, 0.0}; |
| EXPECT_TRUE(product_param.Plus(x, delta, x_plus_delta)); |
| EXPECT_EQ(x_plus_delta[0], x[0]); |
| EXPECT_EQ(x_plus_delta[1], x[1] + delta[0]); |
| EXPECT_EQ(x_plus_delta[2], x[2] + delta[1]); |
| |
| Matrix actual_jacobian(3, 2); |
| EXPECT_TRUE(product_param.ComputeJacobian(x, actual_jacobian.data())); |
| } |
| |
| TEST(SubsetParameterization, |
| ProductParameterizationWithZeroLocalSizeSubsetParameterization2) { |
| std::vector<int> constant_parameters; |
| constant_parameters.push_back(0); |
| LocalParameterization* subset_param = |
| new SubsetParameterization(1, constant_parameters); |
| LocalParameterization* identity_param = new IdentityParameterization(2); |
| ProductParameterization product_param(identity_param, subset_param); |
| EXPECT_EQ(product_param.GlobalSize(), 3); |
| EXPECT_EQ(product_param.LocalSize(), 2); |
| double x[] = {1.0, 1.0, 1.0}; |
| double delta[] = {2.0, 3.0}; |
| double x_plus_delta[] = {0.0, 0.0, 0.0}; |
| EXPECT_TRUE(product_param.Plus(x, delta, x_plus_delta)); |
| EXPECT_EQ(x_plus_delta[0], x[0] + delta[0]); |
| EXPECT_EQ(x_plus_delta[1], x[1] + delta[1]); |
| EXPECT_EQ(x_plus_delta[2], x[2]); |
| |
| Matrix actual_jacobian(3, 2); |
| EXPECT_TRUE(product_param.ComputeJacobian(x, actual_jacobian.data())); |
| } |
| |
| TEST(SubsetParameterization, NormalFunctionTest) { |
| const int kGlobalSize = 4; |
| const int kLocalSize = 3; |
| |
| double x[kGlobalSize] = {1.0, 2.0, 3.0, 4.0}; |
| for (int i = 0; i < kGlobalSize; ++i) { |
| std::vector<int> constant_parameters; |
| constant_parameters.push_back(i); |
| SubsetParameterization parameterization(kGlobalSize, constant_parameters); |
| double delta[kLocalSize] = {1.0, 2.0, 3.0}; |
| double x_plus_delta[kGlobalSize] = {0.0, 0.0, 0.0}; |
| |
| parameterization.Plus(x, delta, x_plus_delta); |
| int k = 0; |
| for (int j = 0; j < kGlobalSize; ++j) { |
| if (j == i) { |
| EXPECT_EQ(x_plus_delta[j], x[j]); |
| } else { |
| EXPECT_EQ(x_plus_delta[j], x[j] + delta[k++]); |
| } |
| } |
| |
| double jacobian[kGlobalSize * kLocalSize]; |
| parameterization.ComputeJacobian(x, jacobian); |
| int delta_cursor = 0; |
| int jacobian_cursor = 0; |
| for (int j = 0; j < kGlobalSize; ++j) { |
| if (j != i) { |
| for (int k = 0; k < kLocalSize; ++k, jacobian_cursor++) { |
| EXPECT_EQ(jacobian[jacobian_cursor], delta_cursor == k ? 1.0 : 0.0); |
| } |
| ++delta_cursor; |
| } else { |
| for (int k = 0; k < kLocalSize; ++k, jacobian_cursor++) { |
| EXPECT_EQ(jacobian[jacobian_cursor], 0.0); |
| } |
| } |
| } |
| |
| Matrix global_matrix = Matrix::Ones(10, kGlobalSize); |
| for (int row = 0; row < kGlobalSize; ++row) { |
| for (int col = 0; col < kGlobalSize; ++col) { |
| global_matrix(row, col) = col; |
| } |
| } |
| |
| Matrix local_matrix = Matrix::Zero(10, kLocalSize); |
| parameterization.MultiplyByJacobian(x, |
| 10, |
| global_matrix.data(), |
| local_matrix.data()); |
| Matrix expected_local_matrix = |
| global_matrix * MatrixRef(jacobian, kGlobalSize, kLocalSize); |
| EXPECT_EQ((local_matrix - expected_local_matrix).norm(), 0.0); |
| } |
| } |
| |
| // Functor needed to implement automatically differentiated Plus for |
| // quaternions. |
| struct QuaternionPlus { |
| template<typename T> |
| bool operator()(const T* x, const T* delta, T* x_plus_delta) const { |
| const T squared_norm_delta = |
| delta[0] * delta[0] + delta[1] * delta[1] + delta[2] * delta[2]; |
| |
| T q_delta[4]; |
| if (squared_norm_delta > T(0.0)) { |
| T norm_delta = sqrt(squared_norm_delta); |
| const T sin_delta_by_delta = sin(norm_delta) / norm_delta; |
| q_delta[0] = cos(norm_delta); |
| q_delta[1] = sin_delta_by_delta * delta[0]; |
| q_delta[2] = sin_delta_by_delta * delta[1]; |
| q_delta[3] = sin_delta_by_delta * delta[2]; |
| } else { |
| // We do not just use q_delta = [1,0,0,0] here because that is a |
| // constant and when used for automatic differentiation will |
| // lead to a zero derivative. Instead we take a first order |
| // approximation and evaluate it at zero. |
| q_delta[0] = T(1.0); |
| q_delta[1] = delta[0]; |
| q_delta[2] = delta[1]; |
| q_delta[3] = delta[2]; |
| } |
| |
| QuaternionProduct(q_delta, x, x_plus_delta); |
| return true; |
| } |
| }; |
| |
| template<typename Parameterization, typename Plus> |
| void QuaternionParameterizationTestHelper( |
| const double* x, const double* delta, |
| const double* x_plus_delta_ref) { |
| const int kGlobalSize = 4; |
| const int kLocalSize = 3; |
| |
| const double kTolerance = 1e-14; |
| |
| double x_plus_delta[kGlobalSize] = {0.0, 0.0, 0.0, 0.0}; |
| Parameterization parameterization; |
| parameterization.Plus(x, delta, x_plus_delta); |
| for (int i = 0; i < kGlobalSize; ++i) { |
| EXPECT_NEAR(x_plus_delta[i], x_plus_delta[i], kTolerance); |
| } |
| |
| const double x_plus_delta_norm = |
| sqrt(x_plus_delta[0] * x_plus_delta[0] + |
| x_plus_delta[1] * x_plus_delta[1] + |
| x_plus_delta[2] * x_plus_delta[2] + |
| x_plus_delta[3] * x_plus_delta[3]); |
| |
| EXPECT_NEAR(x_plus_delta_norm, 1.0, kTolerance); |
| |
| double jacobian_ref[12]; |
| double zero_delta[kLocalSize] = {0.0, 0.0, 0.0}; |
| const double* parameters[2] = {x, zero_delta}; |
| double* jacobian_array[2] = { NULL, jacobian_ref }; |
| |
| // Autodiff jacobian at delta_x = 0. |
| internal::AutoDifferentiate<StaticParameterDims<kGlobalSize, kLocalSize>>( |
| Plus(), |
| parameters, |
| kGlobalSize, |
| x_plus_delta, |
| jacobian_array); |
| |
| double jacobian[12]; |
| parameterization.ComputeJacobian(x, jacobian); |
| for (int i = 0; i < 12; ++i) { |
| EXPECT_TRUE(IsFinite(jacobian[i])); |
| EXPECT_NEAR(jacobian[i], jacobian_ref[i], kTolerance) |
| << "Jacobian mismatch: i = " << i |
| << "\n Expected \n" |
| << ConstMatrixRef(jacobian_ref, kGlobalSize, kLocalSize) |
| << "\n Actual \n" |
| << ConstMatrixRef(jacobian, kGlobalSize, kLocalSize); |
| } |
| |
| Matrix global_matrix = Matrix::Random(10, kGlobalSize); |
| Matrix local_matrix = Matrix::Zero(10, kLocalSize); |
| parameterization.MultiplyByJacobian(x, |
| 10, |
| global_matrix.data(), |
| local_matrix.data()); |
| Matrix expected_local_matrix = |
| global_matrix * MatrixRef(jacobian, kGlobalSize, kLocalSize); |
| EXPECT_NEAR((local_matrix - expected_local_matrix).norm(), |
| 0.0, |
| 10.0 * std::numeric_limits<double>::epsilon()); |
| } |
| |
| template <int N> |
| void Normalize(double* x) { |
| VectorRef(x, N).normalize(); |
| } |
| |
| TEST(QuaternionParameterization, ZeroTest) { |
| double x[4] = {0.5, 0.5, 0.5, 0.5}; |
| double delta[3] = {0.0, 0.0, 0.0}; |
| double q_delta[4] = {1.0, 0.0, 0.0, 0.0}; |
| double x_plus_delta[4] = {0.0, 0.0, 0.0, 0.0}; |
| QuaternionProduct(q_delta, x, x_plus_delta); |
| QuaternionParameterizationTestHelper<QuaternionParameterization, |
| QuaternionPlus>(x, delta, x_plus_delta); |
| } |
| |
| TEST(QuaternionParameterization, NearZeroTest) { |
| double x[4] = {0.52, 0.25, 0.15, 0.45}; |
| Normalize<4>(x); |
| |
| double delta[3] = {0.24, 0.15, 0.10}; |
| for (int i = 0; i < 3; ++i) { |
| delta[i] = delta[i] * 1e-14; |
| } |
| |
| double q_delta[4]; |
| q_delta[0] = 1.0; |
| q_delta[1] = delta[0]; |
| q_delta[2] = delta[1]; |
| q_delta[3] = delta[2]; |
| |
| double x_plus_delta[4] = {0.0, 0.0, 0.0, 0.0}; |
| QuaternionProduct(q_delta, x, x_plus_delta); |
| QuaternionParameterizationTestHelper<QuaternionParameterization, |
| QuaternionPlus>(x, delta, x_plus_delta); |
| } |
| |
| TEST(QuaternionParameterization, AwayFromZeroTest) { |
| double x[4] = {0.52, 0.25, 0.15, 0.45}; |
| Normalize<4>(x); |
| |
| double delta[3] = {0.24, 0.15, 0.10}; |
| const double delta_norm = sqrt(delta[0] * delta[0] + |
| delta[1] * delta[1] + |
| delta[2] * delta[2]); |
| double q_delta[4]; |
| q_delta[0] = cos(delta_norm); |
| q_delta[1] = sin(delta_norm) / delta_norm * delta[0]; |
| q_delta[2] = sin(delta_norm) / delta_norm * delta[1]; |
| q_delta[3] = sin(delta_norm) / delta_norm * delta[2]; |
| |
| double x_plus_delta[4] = {0.0, 0.0, 0.0, 0.0}; |
| QuaternionProduct(q_delta, x, x_plus_delta); |
| QuaternionParameterizationTestHelper<QuaternionParameterization, |
| QuaternionPlus>(x, delta, x_plus_delta); |
| } |
| |
| // Functor needed to implement automatically differentiated Plus for |
| // Eigen's quaternion. |
| struct EigenQuaternionPlus { |
| template<typename T> |
| bool operator()(const T* x, const T* delta, T* x_plus_delta) const { |
| const T norm_delta = |
| sqrt(delta[0] * delta[0] + delta[1] * delta[1] + delta[2] * delta[2]); |
| |
| Eigen::Quaternion<T> q_delta; |
| if (norm_delta > T(0.0)) { |
| const T sin_delta_by_delta = sin(norm_delta) / norm_delta; |
| q_delta.coeffs() << sin_delta_by_delta * delta[0], |
| sin_delta_by_delta * delta[1], sin_delta_by_delta * delta[2], |
| cos(norm_delta); |
| } else { |
| // We do not just use q_delta = [0,0,0,1] here because that is a |
| // constant and when used for automatic differentiation will |
| // lead to a zero derivative. Instead we take a first order |
| // approximation and evaluate it at zero. |
| q_delta.coeffs() << delta[0], delta[1], delta[2], T(1.0); |
| } |
| |
| Eigen::Map<Eigen::Quaternion<T>> x_plus_delta_ref(x_plus_delta); |
| Eigen::Map<const Eigen::Quaternion<T>> x_ref(x); |
| x_plus_delta_ref = q_delta * x_ref; |
| return true; |
| } |
| }; |
| |
| TEST(EigenQuaternionParameterization, ZeroTest) { |
| Eigen::Quaterniond x(0.5, 0.5, 0.5, 0.5); |
| double delta[3] = {0.0, 0.0, 0.0}; |
| Eigen::Quaterniond q_delta(1.0, 0.0, 0.0, 0.0); |
| Eigen::Quaterniond x_plus_delta = q_delta * x; |
| QuaternionParameterizationTestHelper<EigenQuaternionParameterization, |
| EigenQuaternionPlus>( |
| x.coeffs().data(), delta, x_plus_delta.coeffs().data()); |
| } |
| |
| TEST(EigenQuaternionParameterization, NearZeroTest) { |
| Eigen::Quaterniond x(0.52, 0.25, 0.15, 0.45); |
| x.normalize(); |
| |
| double delta[3] = {0.24, 0.15, 0.10}; |
| for (int i = 0; i < 3; ++i) { |
| delta[i] = delta[i] * 1e-14; |
| } |
| |
| // Note: w is first in the constructor. |
| Eigen::Quaterniond q_delta(1.0, delta[0], delta[1], delta[2]); |
| |
| Eigen::Quaterniond x_plus_delta = q_delta * x; |
| QuaternionParameterizationTestHelper<EigenQuaternionParameterization, |
| EigenQuaternionPlus>( |
| x.coeffs().data(), delta, x_plus_delta.coeffs().data()); |
| } |
| |
| TEST(EigenQuaternionParameterization, AwayFromZeroTest) { |
| Eigen::Quaterniond x(0.52, 0.25, 0.15, 0.45); |
| x.normalize(); |
| |
| double delta[3] = {0.24, 0.15, 0.10}; |
| const double delta_norm = sqrt(delta[0] * delta[0] + |
| delta[1] * delta[1] + |
| delta[2] * delta[2]); |
| |
| // Note: w is first in the constructor. |
| Eigen::Quaterniond q_delta(cos(delta_norm), |
| sin(delta_norm) / delta_norm * delta[0], |
| sin(delta_norm) / delta_norm * delta[1], |
| sin(delta_norm) / delta_norm * delta[2]); |
| |
| Eigen::Quaterniond x_plus_delta = q_delta * x; |
| QuaternionParameterizationTestHelper<EigenQuaternionParameterization, |
| EigenQuaternionPlus>( |
| x.coeffs().data(), delta, x_plus_delta.coeffs().data()); |
| } |
| |
| // Functor needed to implement automatically differentiated Plus for |
| // homogeneous vectors. Note this explicitly defined for vectors of size 4. |
| struct HomogeneousVectorParameterizationPlus { |
| template<typename Scalar> |
| bool operator()(const Scalar* p_x, const Scalar* p_delta, |
| Scalar* p_x_plus_delta) const { |
| Eigen::Map<const Eigen::Matrix<Scalar, 4, 1>> x(p_x); |
| Eigen::Map<const Eigen::Matrix<Scalar, 3, 1>> delta(p_delta); |
| Eigen::Map<Eigen::Matrix<Scalar, 4, 1>> x_plus_delta(p_x_plus_delta); |
| |
| const Scalar squared_norm_delta = |
| delta[0] * delta[0] + delta[1] * delta[1] + delta[2] * delta[2]; |
| |
| Eigen::Matrix<Scalar, 4, 1> y; |
| Scalar one_half(0.5); |
| if (squared_norm_delta > Scalar(0.0)) { |
| Scalar norm_delta = sqrt(squared_norm_delta); |
| Scalar norm_delta_div_2 = 0.5 * norm_delta; |
| const Scalar sin_delta_by_delta = sin(norm_delta_div_2) / |
| norm_delta_div_2; |
| y[0] = sin_delta_by_delta * delta[0] * one_half; |
| y[1] = sin_delta_by_delta * delta[1] * one_half; |
| y[2] = sin_delta_by_delta * delta[2] * one_half; |
| y[3] = cos(norm_delta_div_2); |
| |
| } else { |
| // We do not just use y = [0,0,0,1] here because that is a |
| // constant and when used for automatic differentiation will |
| // lead to a zero derivative. Instead we take a first order |
| // approximation and evaluate it at zero. |
| y[0] = delta[0] * one_half; |
| y[1] = delta[1] * one_half; |
| y[2] = delta[2] * one_half; |
| y[3] = Scalar(1.0); |
| } |
| |
| Eigen::Matrix<Scalar, Eigen::Dynamic, 1> v(4); |
| Scalar beta; |
| internal::ComputeHouseholderVector<Scalar>(x, &v, &beta); |
| |
| x_plus_delta = x.norm() * (y - v * (beta * v.dot(y))); |
| |
| return true; |
| } |
| }; |
| |
| void HomogeneousVectorParameterizationHelper(const double* x, |
| const double* delta) { |
| const double kTolerance = 1e-14; |
| |
| HomogeneousVectorParameterization homogeneous_vector_parameterization(4); |
| |
| // Ensure the update maintains the norm. |
| double x_plus_delta[4] = {0.0, 0.0, 0.0, 0.0}; |
| homogeneous_vector_parameterization.Plus(x, delta, x_plus_delta); |
| |
| const double x_plus_delta_norm = |
| sqrt(x_plus_delta[0] * x_plus_delta[0] + |
| x_plus_delta[1] * x_plus_delta[1] + |
| x_plus_delta[2] * x_plus_delta[2] + |
| x_plus_delta[3] * x_plus_delta[3]); |
| |
| const double x_norm = sqrt(x[0] * x[0] + x[1] * x[1] + |
| x[2] * x[2] + x[3] * x[3]); |
| |
| EXPECT_NEAR(x_plus_delta_norm, x_norm, kTolerance); |
| |
| // Autodiff jacobian at delta_x = 0. |
| AutoDiffLocalParameterization<HomogeneousVectorParameterizationPlus, 4, 3> |
| autodiff_jacobian; |
| |
| double jacobian_autodiff[12]; |
| double jacobian_analytic[12]; |
| |
| homogeneous_vector_parameterization.ComputeJacobian(x, jacobian_analytic); |
| autodiff_jacobian.ComputeJacobian(x, jacobian_autodiff); |
| |
| for (int i = 0; i < 12; ++i) { |
| EXPECT_TRUE(ceres::IsFinite(jacobian_analytic[i])); |
| EXPECT_NEAR(jacobian_analytic[i], jacobian_autodiff[i], kTolerance) |
| << "Jacobian mismatch: i = " << i << ", " << jacobian_analytic[i] << " " |
| << jacobian_autodiff[i]; |
| } |
| } |
| |
| TEST(HomogeneousVectorParameterization, ZeroTest) { |
| double x[4] = {0.0, 0.0, 0.0, 1.0}; |
| Normalize<4>(x); |
| double delta[3] = {0.0, 0.0, 0.0}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, NearZeroTest1) { |
| double x[4] = {1e-5, 1e-5, 1e-5, 1.0}; |
| Normalize<4>(x); |
| double delta[3] = {0.0, 1.0, 0.0}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, NearZeroTest2) { |
| double x[4] = {0.001, 0.0, 0.0, 0.0}; |
| double delta[3] = {0.0, 1.0, 0.0}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, AwayFromZeroTest1) { |
| double x[4] = {0.52, 0.25, 0.15, 0.45}; |
| Normalize<4>(x); |
| double delta[3] = {0.0, 1.0, -0.5}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, AwayFromZeroTest2) { |
| double x[4] = {0.87, -0.25, -0.34, 0.45}; |
| Normalize<4>(x); |
| double delta[3] = {0.0, 0.0, -0.5}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, AwayFromZeroTest3) { |
| double x[4] = {0.0, 0.0, 0.0, 2.0}; |
| double delta[3] = {0.0, 0.0, 0}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, AwayFromZeroTest4) { |
| double x[4] = {0.2, -1.0, 0.0, 2.0}; |
| double delta[3] = {1.4, 0.0, -0.5}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, AwayFromZeroTest5) { |
| double x[4] = {2.0, 0.0, 0.0, 0.0}; |
| double delta[3] = {1.4, 0.0, -0.5}; |
| |
| HomogeneousVectorParameterizationHelper(x, delta); |
| } |
| |
| TEST(HomogeneousVectorParameterization, DeathTests) { |
| EXPECT_DEATH_IF_SUPPORTED(HomogeneousVectorParameterization x(1), "size"); |
| } |
| |
| |
| class ProductParameterizationTest : public ::testing::Test { |
| protected : |
| virtual void SetUp() { |
| const int global_size1 = 5; |
| std::vector<int> constant_parameters1; |
| constant_parameters1.push_back(2); |
| param1_.reset(new SubsetParameterization(global_size1, |
| constant_parameters1)); |
| |
| const int global_size2 = 3; |
| std::vector<int> constant_parameters2; |
| constant_parameters2.push_back(0); |
| constant_parameters2.push_back(1); |
| param2_.reset(new SubsetParameterization(global_size2, |
| constant_parameters2)); |
| |
| const int global_size3 = 4; |
| std::vector<int> constant_parameters3; |
| constant_parameters3.push_back(1); |
| param3_.reset(new SubsetParameterization(global_size3, |
| constant_parameters3)); |
| |
| const int global_size4 = 2; |
| std::vector<int> constant_parameters4; |
| constant_parameters4.push_back(1); |
| param4_.reset(new SubsetParameterization(global_size4, |
| constant_parameters4)); |
| } |
| |
| std::unique_ptr<LocalParameterization> param1_; |
| std::unique_ptr<LocalParameterization> param2_; |
| std::unique_ptr<LocalParameterization> param3_; |
| std::unique_ptr<LocalParameterization> param4_; |
| }; |
| |
| TEST_F(ProductParameterizationTest, LocalAndGlobalSize2) { |
| LocalParameterization* param1 = param1_.release(); |
| LocalParameterization* param2 = param2_.release(); |
| |
| ProductParameterization product_param(param1, param2); |
| EXPECT_EQ(product_param.LocalSize(), |
| param1->LocalSize() + param2->LocalSize()); |
| EXPECT_EQ(product_param.GlobalSize(), |
| param1->GlobalSize() + param2->GlobalSize()); |
| } |
| |
| |
| TEST_F(ProductParameterizationTest, LocalAndGlobalSize3) { |
| LocalParameterization* param1 = param1_.release(); |
| LocalParameterization* param2 = param2_.release(); |
| LocalParameterization* param3 = param3_.release(); |
| |
| ProductParameterization product_param(param1, param2, param3); |
| EXPECT_EQ(product_param.LocalSize(), |
| param1->LocalSize() + param2->LocalSize() + param3->LocalSize()); |
| EXPECT_EQ(product_param.GlobalSize(), |
| param1->GlobalSize() + param2->GlobalSize() + param3->GlobalSize()); |
| } |
| |
| TEST_F(ProductParameterizationTest, LocalAndGlobalSize4) { |
| LocalParameterization* param1 = param1_.release(); |
| LocalParameterization* param2 = param2_.release(); |
| LocalParameterization* param3 = param3_.release(); |
| LocalParameterization* param4 = param4_.release(); |
| |
| ProductParameterization product_param(param1, param2, param3, param4); |
| EXPECT_EQ(product_param.LocalSize(), |
| param1->LocalSize() + |
| param2->LocalSize() + |
| param3->LocalSize() + |
| param4->LocalSize()); |
| EXPECT_EQ(product_param.GlobalSize(), |
| param1->GlobalSize() + |
| param2->GlobalSize() + |
| param3->GlobalSize() + |
| param4->GlobalSize()); |
| } |
| |
| TEST_F(ProductParameterizationTest, Plus) { |
| LocalParameterization* param1 = param1_.release(); |
| LocalParameterization* param2 = param2_.release(); |
| LocalParameterization* param3 = param3_.release(); |
| LocalParameterization* param4 = param4_.release(); |
| |
| ProductParameterization product_param(param1, param2, param3, param4); |
| std::vector<double> x(product_param.GlobalSize(), 0.0); |
| std::vector<double> delta(product_param.LocalSize(), 0.0); |
| std::vector<double> x_plus_delta_expected(product_param.GlobalSize(), 0.0); |
| std::vector<double> x_plus_delta(product_param.GlobalSize(), 0.0); |
| |
| for (int i = 0; i < product_param.GlobalSize(); ++i) { |
| x[i] = RandNormal(); |
| } |
| |
| for (int i = 0; i < product_param.LocalSize(); ++i) { |
| delta[i] = RandNormal(); |
| } |
| |
| EXPECT_TRUE(product_param.Plus(&x[0], &delta[0], &x_plus_delta_expected[0])); |
| int x_cursor = 0; |
| int delta_cursor = 0; |
| |
| EXPECT_TRUE(param1->Plus(&x[x_cursor], |
| &delta[delta_cursor], |
| &x_plus_delta[x_cursor])); |
| x_cursor += param1->GlobalSize(); |
| delta_cursor += param1->LocalSize(); |
| |
| EXPECT_TRUE(param2->Plus(&x[x_cursor], |
| &delta[delta_cursor], |
| &x_plus_delta[x_cursor])); |
| x_cursor += param2->GlobalSize(); |
| delta_cursor += param2->LocalSize(); |
| |
| EXPECT_TRUE(param3->Plus(&x[x_cursor], |
| &delta[delta_cursor], |
| &x_plus_delta[x_cursor])); |
| x_cursor += param3->GlobalSize(); |
| delta_cursor += param3->LocalSize(); |
| |
| EXPECT_TRUE(param4->Plus(&x[x_cursor], |
| &delta[delta_cursor], |
| &x_plus_delta[x_cursor])); |
| x_cursor += param4->GlobalSize(); |
| delta_cursor += param4->LocalSize(); |
| |
| for (int i = 0; i < x.size(); ++i) { |
| EXPECT_EQ(x_plus_delta[i], x_plus_delta_expected[i]); |
| } |
| } |
| |
| TEST_F(ProductParameterizationTest, ComputeJacobian) { |
| LocalParameterization* param1 = param1_.release(); |
| LocalParameterization* param2 = param2_.release(); |
| LocalParameterization* param3 = param3_.release(); |
| LocalParameterization* param4 = param4_.release(); |
| |
| ProductParameterization product_param(param1, param2, param3, param4); |
| std::vector<double> x(product_param.GlobalSize(), 0.0); |
| |
| for (int i = 0; i < product_param.GlobalSize(); ++i) { |
| x[i] = RandNormal(); |
| } |
| |
| Matrix jacobian = Matrix::Random(product_param.GlobalSize(), |
| product_param.LocalSize()); |
| EXPECT_TRUE(product_param.ComputeJacobian(&x[0], jacobian.data())); |
| int x_cursor = 0; |
| int delta_cursor = 0; |
| |
| Matrix jacobian1(param1->GlobalSize(), param1->LocalSize()); |
| EXPECT_TRUE(param1->ComputeJacobian(&x[x_cursor], jacobian1.data())); |
| jacobian.block(x_cursor, delta_cursor, |
| param1->GlobalSize(), |
| param1->LocalSize()) |
| -= jacobian1; |
| x_cursor += param1->GlobalSize(); |
| delta_cursor += param1->LocalSize(); |
| |
| Matrix jacobian2(param2->GlobalSize(), param2->LocalSize()); |
| EXPECT_TRUE(param2->ComputeJacobian(&x[x_cursor], jacobian2.data())); |
| jacobian.block(x_cursor, delta_cursor, |
| param2->GlobalSize(), |
| param2->LocalSize()) |
| -= jacobian2; |
| x_cursor += param2->GlobalSize(); |
| delta_cursor += param2->LocalSize(); |
| |
| Matrix jacobian3(param3->GlobalSize(), param3->LocalSize()); |
| EXPECT_TRUE(param3->ComputeJacobian(&x[x_cursor], jacobian3.data())); |
| jacobian.block(x_cursor, delta_cursor, |
| param3->GlobalSize(), |
| param3->LocalSize()) |
| -= jacobian3; |
| x_cursor += param3->GlobalSize(); |
| delta_cursor += param3->LocalSize(); |
| |
| Matrix jacobian4(param4->GlobalSize(), param4->LocalSize()); |
| EXPECT_TRUE(param4->ComputeJacobian(&x[x_cursor], jacobian4.data())); |
| jacobian.block(x_cursor, delta_cursor, |
| param4->GlobalSize(), |
| param4->LocalSize()) |
| -= jacobian4; |
| x_cursor += param4->GlobalSize(); |
| delta_cursor += param4->LocalSize(); |
| |
| EXPECT_NEAR(jacobian.norm(), 0.0, std::numeric_limits<double>::epsilon()); |
| } |
| |
| } // namespace internal |
| } // namespace ceres |
