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…-partial-derivative Add geopotential partial derivative
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| /** | ||
| * @file test_gravity_potential.cpp | ||
| * @brief Test codes for Gravity Potential class with GoogleTest | ||
| */ | ||
| #include <gtest/gtest.h> | ||
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| #include "gravity_potential.hpp" | ||
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| /** | ||
| * @brief Test for Acceleration calculation | ||
| */ | ||
| TEST(GravityPotential, Acceleration) { | ||
| const size_t degree = 10; | ||
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| std::vector<std::vector<double>> c_; //!< Cosine coefficients | ||
| std::vector<std::vector<double>> s_; //!< Sine coefficients | ||
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| // Unit coefficients | ||
| c_.assign(degree + 1, std::vector<double>(degree + 1, 1.0)); | ||
| s_.assign(degree + 1, std::vector<double>(degree + 1, 1.0)); | ||
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| // Initialize GravityPotential | ||
| GravityPotential gravity_potential_(degree, c_, s_, 1.0, 1.0); | ||
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| // Acceleration Calculation check | ||
| libra::Vector<3> position_xcxf_m; | ||
| libra::Vector<3> acceleration_xcxf_m_s2; | ||
| const double accuracy = 1.0e-3; | ||
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| // Calc Acceleration | ||
| position_xcxf_m[0] = 1.0; | ||
| position_xcxf_m[1] = 0.0; | ||
| position_xcxf_m[2] = 0.0; | ||
| acceleration_xcxf_m_s2 = gravity_potential_.CalcAcceleration_xcxf_m_s2(position_xcxf_m); | ||
| // Check | ||
| EXPECT_NEAR(-100.0252, acceleration_xcxf_m_s2[0], accuracy); | ||
| EXPECT_NEAR(93.3516, acceleration_xcxf_m_s2[1], accuracy); | ||
| EXPECT_NEAR(41.0375, acceleration_xcxf_m_s2[2], accuracy); | ||
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| // Calc Acceleration | ||
| position_xcxf_m[0] = 1.0; | ||
| position_xcxf_m[1] = 1.0; | ||
| position_xcxf_m[2] = 1.0; | ||
| acceleration_xcxf_m_s2 = gravity_potential_.CalcAcceleration_xcxf_m_s2(position_xcxf_m); | ||
| // Check | ||
| EXPECT_NEAR(-0.19228, acceleration_xcxf_m_s2[0], accuracy); | ||
| EXPECT_NEAR(-2.46144, acceleration_xcxf_m_s2[1], accuracy); | ||
| EXPECT_NEAR(0.242614, acceleration_xcxf_m_s2[2], accuracy); | ||
| } | ||
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| /** | ||
| * @brief Test for PartialDerivative calculation case 1 | ||
| */ | ||
| TEST(GravityPotential, PartialDerivative1) { | ||
| const size_t degree = 10; | ||
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| std::vector<std::vector<double>> c_; //!< Cosine coefficients | ||
| std::vector<std::vector<double>> s_; //!< Sine coefficients | ||
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| // Unit coefficients | ||
| c_.assign(degree + 1, std::vector<double>(degree + 1, 1.0)); | ||
| s_.assign(degree + 1, std::vector<double>(degree + 1, 1.0)); | ||
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| // Initialize GravityPotential | ||
| GravityPotential gravity_potential_(degree, c_, s_, 1.0, 1.0); | ||
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| // Calculation check | ||
| libra::Vector<3> position_xcxf_m; | ||
| libra::Matrix<3, 3> partial_derivative_xcxf_s2; | ||
| const double accuracy = 1.0e-3; | ||
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| // Calc Partial Derivative | ||
| position_xcxf_m[0] = 1.0; | ||
| position_xcxf_m[1] = 1.0; | ||
| position_xcxf_m[2] = 1.0; | ||
| partial_derivative_xcxf_s2 = gravity_potential_.CalcPartialDerivative_xcxf_s2(position_xcxf_m); | ||
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| // Calc Acceleration and numerical partial derivatives | ||
| double d_r = 1e-9; | ||
| libra::Matrix<3, 3> numerical_partial_derivative_xcxf_s2; | ||
| for (size_t i = 0; i < 3; i++) { | ||
| libra::Vector<3> position_1_xcxf_m = position_xcxf_m; | ||
| libra::Vector<3> position_2_xcxf_m = position_xcxf_m; | ||
| position_1_xcxf_m[i] = position_xcxf_m[i] - d_r / 2.0; | ||
| position_2_xcxf_m[i] = position_xcxf_m[i] + d_r / 2.0; | ||
| libra::Vector<3> acceleration_1_xcxf_m_s2 = gravity_potential_.CalcAcceleration_xcxf_m_s2(position_1_xcxf_m); | ||
| libra::Vector<3> acceleration_2_xcxf_m_s2 = gravity_potential_.CalcAcceleration_xcxf_m_s2(position_2_xcxf_m); | ||
| libra::Vector<3> diff_acceleration_xcxf_m_s2 = acceleration_2_xcxf_m_s2 - acceleration_1_xcxf_m_s2; | ||
| for (size_t j = 0; j < 3; j++) { | ||
| numerical_partial_derivative_xcxf_s2[i][j] = diff_acceleration_xcxf_m_s2[j] / d_r; | ||
| } | ||
| } | ||
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| // Compare numerical and analytical calculation | ||
| libra::Matrix<3, 3> diff; | ||
| for (size_t i = 0; i < 3; i++) { | ||
| for (size_t j = 0; j < 3; j++) { | ||
| EXPECT_NEAR(numerical_partial_derivative_xcxf_s2[i][j], partial_derivative_xcxf_s2[i][j], accuracy); | ||
| diff[i][j] = numerical_partial_derivative_xcxf_s2[i][j] - partial_derivative_xcxf_s2[i][j]; | ||
| } | ||
| } | ||
| } | ||
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| /** | ||
| * @brief Test for PartialDerivative calculation case2 | ||
| */ | ||
| TEST(GravityPotential, PartialDerivative2) { | ||
| const size_t degree = 10; | ||
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| std::vector<std::vector<double>> c_; //!< Cosine coefficients | ||
| std::vector<std::vector<double>> s_; //!< Sine coefficients | ||
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| // Unit coefficients | ||
| c_.assign(degree + 1, std::vector<double>(degree + 1, 1.0)); | ||
| s_.assign(degree + 1, std::vector<double>(degree + 1, 1.0)); | ||
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| // Initialize GravityPotential | ||
| GravityPotential gravity_potential_(degree, c_, s_, 1.0, 1.0); | ||
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| // Calculation check | ||
| libra::Vector<3> position_xcxf_m; | ||
| libra::Matrix<3, 3> partial_derivative_xcxf_s2; | ||
| const double accuracy = 1.0e-3; | ||
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| // Calc Partial Derivative | ||
| position_xcxf_m[0] = 1.0; | ||
| position_xcxf_m[1] = 0.0; | ||
| position_xcxf_m[2] = 1.0; | ||
| partial_derivative_xcxf_s2 = gravity_potential_.CalcPartialDerivative_xcxf_s2(position_xcxf_m); | ||
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| // Calc Acceleration and numerical partial derivatives | ||
| double d_r = 1e-9; | ||
| libra::Matrix<3, 3> numerical_partial_derivative_xcxf_s2; | ||
| for (size_t i = 0; i < 3; i++) { | ||
| libra::Vector<3> position_1_xcxf_m = position_xcxf_m; | ||
| libra::Vector<3> position_2_xcxf_m = position_xcxf_m; | ||
| position_1_xcxf_m[i] = position_xcxf_m[i] - d_r / 2.0; | ||
| position_2_xcxf_m[i] = position_xcxf_m[i] + d_r / 2.0; | ||
| libra::Vector<3> acceleration_1_xcxf_m_s2 = gravity_potential_.CalcAcceleration_xcxf_m_s2(position_1_xcxf_m); | ||
| libra::Vector<3> acceleration_2_xcxf_m_s2 = gravity_potential_.CalcAcceleration_xcxf_m_s2(position_2_xcxf_m); | ||
| libra::Vector<3> diff_acceleration_xcxf_m_s2 = acceleration_2_xcxf_m_s2 - acceleration_1_xcxf_m_s2; | ||
| for (size_t j = 0; j < 3; j++) { | ||
| numerical_partial_derivative_xcxf_s2[i][j] = diff_acceleration_xcxf_m_s2[j] / d_r; | ||
| } | ||
| } | ||
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| // Compare numerical and analytical calculation | ||
| libra::Matrix<3, 3> diff; | ||
| for (size_t i = 0; i < 3; i++) { | ||
| for (size_t j = 0; j < 3; j++) { | ||
| EXPECT_NEAR(numerical_partial_derivative_xcxf_s2[i][j], partial_derivative_xcxf_s2[i][j], accuracy); | ||
| diff[i][j] = numerical_partial_derivative_xcxf_s2[i][j] - partial_derivative_xcxf_s2[i][j]; | ||
| } | ||
| } | ||
| } |