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| // Copyright 2023, 2024 Dario Izzo ([email protected]), Francesco Biscani | ||
| // ([email protected]) | ||
| // | ||
| // This file is part of the kep3 library. | ||
| // | ||
| // This Source Code Form is subject to the terms of the Mozilla | ||
| // Public License v. 2.0. If a copy of the MPL was not distributed | ||
| // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. | ||
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| #include <cmath> | ||
| #include <stdexcept> | ||
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| #include <fmt/core.h> | ||
| #include <fmt/ranges.h> | ||
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| #include <boost/math/constants/constants.hpp> | ||
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| #include <kep3/core_astro/eq2par2eq.hpp> | ||
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| #include "catch.hpp" | ||
| #include "test_helpers.hpp" | ||
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| constexpr double pi{boost::math::constants::pi<double>()}; | ||
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| TEST_CASE("eq2par2eq") { | ||
| // Engines | ||
| // NOLINTNEXTLINE(cert-msc32-c, cert-msc51-cpp) | ||
| std::mt19937 rng_engine(122012203u); | ||
| // Distributions for the elements | ||
| std::uniform_real_distribution<double> sma_d(1.1, 100.); | ||
| std::uniform_real_distribution<double> ecc_d(0, 0.99); | ||
| std::uniform_real_distribution<double> incl_d(0., pi); | ||
| std::uniform_real_distribution<double> Omega_d(0, 2 * pi); | ||
| std::uniform_real_distribution<double> omega_d(0., 2 * pi); | ||
| std::uniform_real_distribution<double> ni_d(0, 2 * pi); | ||
|
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| { | ||
| // Testing on N random calls on ellipses | ||
| unsigned N = 10000; | ||
| for (auto i = 0u; i < N; ++i) { | ||
| // We sample randomly on the Keplerian space | ||
| double sma = sma_d(rng_engine); | ||
| double ecc = ecc_d(rng_engine); | ||
| double incl = incl_d(rng_engine); | ||
| double Omega = Omega_d(rng_engine); | ||
| double omega = omega_d(rng_engine); | ||
| double ni = ni_d(rng_engine); | ||
| // Compute the initial eq | ||
| auto eq = kep3::par2eq({sma, ecc, incl, Omega, omega, ni}); | ||
| // Test eq2par2eq | ||
| auto par = kep3::eq2par(eq); | ||
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| // Here we do not use catch matchers to test floating point as for small | ||
| // numbers (<1) we care about absolute while for large (>1) we care for | ||
| // relative error. | ||
| REQUIRE(kep3_tests::floating_point_error(sma, par[0]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(ecc, par[1]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(incl, par[2]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(Omega, par[3]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(omega, par[4]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(ni, par[5]) < 1e-13); | ||
| } | ||
| } | ||
| { | ||
| // Testing on N random calls on hyperbolas | ||
| unsigned N = 10000; | ||
| for (auto i = 0u; i < N; ++i) { | ||
| // We sample randomly on the Keplerian space | ||
| double sma = -sma_d(rng_engine); | ||
| double ecc = ecc_d(rng_engine) + 1.; | ||
| double incl = incl_d(rng_engine); | ||
| double Omega = Omega_d(rng_engine); | ||
| double omega = omega_d(rng_engine); | ||
| double ni = ni_d(rng_engine); | ||
| // Skipping if true anomaly is way out of asymptotes | ||
| if (std::cos(ni) < -1 / ecc + 0.1) { | ||
| continue; | ||
| } | ||
| // Compute the initial eq | ||
| auto eq = kep3::par2eq({sma, ecc, incl, Omega, omega, ni}); | ||
| // Test eq2par2eq | ||
| auto par = kep3::eq2par(eq); | ||
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|
||
| // Here we do not use catch matchers to test floating point as for small | ||
| // numbers (<1) we care about absolute while for large (>1) we care for | ||
| // relative error. | ||
| REQUIRE(kep3_tests::floating_point_error(sma, par[0]) < | ||
| 1e-10); // errors arise since p = a * (1-e^2) and a = p / (1-e^2) | ||
| // [when e is close to 1 and a is high] | ||
| REQUIRE(kep3_tests::floating_point_error(ecc, par[1]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(incl, par[2]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(Omega, par[3]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(omega, par[4]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(ni, par[5]) < 1e-13); | ||
| } | ||
| } | ||
| } | ||
|
|
||
| TEST_CASE("eq2par2eq_retrogade") { | ||
| // Engines | ||
| // NOLINTNEXTLINE(cert-msc32-c, cert-msc51-cpp) | ||
| std::mt19937 rng_engine(122012203u); | ||
| // Distributions for the elements | ||
| std::uniform_real_distribution<double> sma_d(1.1, 100.); | ||
| std::uniform_real_distribution<double> ecc_d(0, 0.99); | ||
| std::uniform_real_distribution<double> incl_d(0., pi); | ||
| std::uniform_real_distribution<double> Omega_d(0, 2 * pi); | ||
| std::uniform_real_distribution<double> omega_d(0., 2 * pi); | ||
| std::uniform_real_distribution<double> ni_d(0, 2 * pi); | ||
|
|
||
| { | ||
| // Testing on N random calls on ellipses | ||
| unsigned N = 10000; | ||
| for (auto i = 0u; i < N; ++i) { | ||
| // We sample randomly on the Keplerian space | ||
| double sma = sma_d(rng_engine); | ||
| double ecc = ecc_d(rng_engine); | ||
| double incl = incl_d(rng_engine); | ||
| double Omega = Omega_d(rng_engine); | ||
| double omega = omega_d(rng_engine); | ||
| double ni = ni_d(rng_engine); | ||
| // Compute the initial eq | ||
| auto eq = kep3::par2eq({sma, ecc, incl, Omega, omega, ni}, true); | ||
| // Test eq2par2eq | ||
| auto par = kep3::eq2par(eq, true); | ||
|
|
||
| // Here we do not use catch matchers to test floating point as for small | ||
| // numbers (<1) we care about absolute while for large (>1) we care for | ||
| // relative error. | ||
| REQUIRE(kep3_tests::floating_point_error(sma, par[0]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(ecc, par[1]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(incl, par[2]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(Omega, par[3]) < 1e-13); | ||
| if (kep3_tests::floating_point_error(omega, par[4]) > 1e-13) { | ||
| fmt::print("\n{}, {}", omega / pi * 180, par[4] / pi * 180); | ||
| } | ||
| REQUIRE(kep3_tests::floating_point_error(omega, par[4]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(ni, par[5]) < 1e-13); | ||
| } | ||
| } | ||
| { | ||
| // Testing on N random calls on hyperbolas | ||
| unsigned N = 10000; | ||
| for (auto i = 0u; i < N; ++i) { | ||
| // We sample randomly on the Keplerian space | ||
| double sma = -sma_d(rng_engine); | ||
| double ecc = ecc_d(rng_engine) + 1.; | ||
| double incl = incl_d(rng_engine); | ||
| double Omega = Omega_d(rng_engine); | ||
| double omega = omega_d(rng_engine); | ||
| double ni = ni_d(rng_engine); | ||
| // Skipping if true anomaly is way out of asymptotes | ||
| if (std::cos(ni) < -1 / ecc + 0.1) { | ||
| continue; | ||
| } | ||
| // Compute the initial eq | ||
| auto eq = kep3::par2eq({sma, ecc, incl, Omega, omega, ni}, true); | ||
| // Test eq2par2eq | ||
| auto par = kep3::eq2par(eq, true); | ||
|
|
||
| // Here we do not use catch matchers to test floating point as for small | ||
| // numbers (<1) we care about absolute while for large (>1) we care for | ||
| // relative error. | ||
| REQUIRE(kep3_tests::floating_point_error(sma, par[0]) < | ||
| 1e-10); // errors arise since p = a * (1-e^2) and a = p / (1-e^2) | ||
| // [when e is close to 1 and a is high] | ||
| REQUIRE(kep3_tests::floating_point_error(ecc, par[1]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(incl, par[2]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(Omega, par[3]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(omega, par[4]) < 1e-13); | ||
| REQUIRE(kep3_tests::floating_point_error(ni, par[5]) < 1e-13); | ||
| } | ||
| } | ||
| } |
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