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| 1 | +// |
| 2 | +// Created by José Cruz <joseviccruz> on 04/04/23. |
| 3 | +// Copyright (c) 2023 RobôCIn. |
| 4 | +// |
| 5 | + |
| 6 | +#include "robocin/utility/angular.h" |
| 7 | + |
| 8 | +#include <numbers> |
| 9 | +#include <ranges> |
| 10 | + |
| 11 | +#include <gtest/gtest.h> |
| 12 | + |
| 13 | +#include "robocin/utility/internal/test/epsilon_injector.h" |
| 14 | + |
| 15 | +namespace robocin { |
| 16 | +namespace { |
| 17 | + |
| 18 | +using ::testing::Test; |
| 19 | +using ::testing::Types; |
| 20 | + |
| 21 | +using FloatingPointTestTypes = Types<float, double, long double>; |
| 22 | + |
| 23 | +template <class> |
| 24 | +class FloatingPointTest : public Test {}; |
| 25 | +TYPED_TEST_SUITE(FloatingPointTest, FloatingPointTestTypes); |
| 26 | + |
| 27 | +// degreesToRadians -------------------------------------------------------------------------------- |
| 28 | +TYPED_TEST(FloatingPointTest, DegreesToRadiansGivenPiFractions) { |
| 29 | + using T = TypeParam; |
| 30 | + |
| 31 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 32 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 33 | + static constexpr T kPiInDegrees = 180; |
| 34 | + |
| 35 | + for (const T kRatio : std::views::iota(0, 7)) { |
| 36 | + EXPECT_NEAR(degreesToRadians<T>(kRatio * kPiInDegrees), kRatio * kPi, kEpsilon); |
| 37 | + } |
| 38 | +} |
| 39 | + |
| 40 | +// radiansToDegrees -------------------------------------------------------------------------------- |
| 41 | +TYPED_TEST(FloatingPointTest, RadiansToDegreesGivenPiFractions) { |
| 42 | + using T = TypeParam; |
| 43 | + |
| 44 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 45 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 46 | + static constexpr T kPiInDegrees = 180; |
| 47 | + |
| 48 | + for (const T kRatio : std::views::iota(0, 7)) { |
| 49 | + EXPECT_NEAR(radiansToDegrees<T>(kRatio * kPi), kRatio * kPiInDegrees, kEpsilon); |
| 50 | + } |
| 51 | +} |
| 52 | + |
| 53 | +// normalizeAngle ---------------------------------------------------------------------------------- |
| 54 | +TYPED_TEST(FloatingPointTest, NormalizeAngleGivenAnglesBetweenPiAndMinusPi) { |
| 55 | + using T = TypeParam; |
| 56 | + |
| 57 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 58 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 59 | + |
| 60 | + EXPECT_NEAR(normalizeAngle<T>(0.0), 0.0, kEpsilon); // 0.0 degrees |
| 61 | + EXPECT_NEAR(normalizeAngle<T>(kPi / 2), kPi / 2, kEpsilon); // 90.0 degrees |
| 62 | + EXPECT_NEAR(normalizeAngle<T>(-kPi / 2), -kPi / 2, kEpsilon); // -90.0 degrees |
| 63 | + EXPECT_NEAR(normalizeAngle<T>(kPi), kPi, kEpsilon); // 180.0 degrees |
| 64 | + EXPECT_NEAR(normalizeAngle<T>(-kPi), -kPi, kEpsilon); // -180.0 degrees |
| 65 | +} |
| 66 | + |
| 67 | +TYPED_TEST(FloatingPointTest, NormalizeAngleGivenAnglesGreaterThanPi) { |
| 68 | + using T = TypeParam; |
| 69 | + |
| 70 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 71 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 72 | + |
| 73 | + EXPECT_NEAR(normalizeAngle<T>(5 * kPi / 4), -3 * kPi / 4, kEpsilon); // 225.0 degrees |
| 74 | + EXPECT_NEAR(normalizeAngle<T>(-5 * kPi / 4), 3 * kPi / 4, kEpsilon); // -225.0 degrees |
| 75 | + EXPECT_NEAR(normalizeAngle<T>(3 * kPi / 2), -kPi / 2, kEpsilon); // 270.0 degrees |
| 76 | + EXPECT_NEAR(normalizeAngle<T>(-3 * kPi / 2), kPi / 2, kEpsilon); // -270.0 degrees |
| 77 | + EXPECT_NEAR(normalizeAngle<T>(7 * kPi / 3), kPi / 3, kEpsilon); // 420.0 degrees |
| 78 | + EXPECT_NEAR(normalizeAngle<T>(-7 * kPi / 3), -kPi / 3, kEpsilon); // -420.0 degrees |
| 79 | +} |
| 80 | + |
| 81 | +TYPED_TEST(FloatingPointTest, NormalizeAngleGivenAnglesLessThanMinusPi) { |
| 82 | + using T = TypeParam; |
| 83 | + |
| 84 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 85 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 86 | + |
| 87 | + EXPECT_NEAR(normalizeAngle<T>(-9 * kPi / 4), -kPi / 4, kEpsilon); // -405.0 degrees |
| 88 | + EXPECT_NEAR(normalizeAngle<T>(9 * kPi / 4), kPi / 4, kEpsilon); // 405.0 degrees |
| 89 | + EXPECT_NEAR(normalizeAngle<T>(-5 * kPi / 2), -kPi / 2, kEpsilon); // -450.0 degrees |
| 90 | + EXPECT_NEAR(normalizeAngle<T>(5 * kPi / 2), kPi / 2, kEpsilon); // 450.0 degrees |
| 91 | + EXPECT_NEAR(normalizeAngle<T>(-11 * kPi / 3), kPi / 3, kEpsilon); // -660.0 degrees |
| 92 | + EXPECT_NEAR(normalizeAngle<T>(11 * kPi / 3), -kPi / 3, kEpsilon); // 660.0 degrees |
| 93 | +} |
| 94 | + |
| 95 | +// smallestAngleDiff ------------------------------------------------------------------------------- |
| 96 | +TYPED_TEST(FloatingPointTest, SmallestAngleDiffGivenAnglesBetweenPiAndMinusPi) { |
| 97 | + using T = TypeParam; |
| 98 | + |
| 99 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 100 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 101 | + |
| 102 | + // 0.0 and 90.0 degrees |
| 103 | + EXPECT_NEAR((smallestAngleDiff<T, T>(0, kPi / 2)), kPi / 2, kEpsilon); |
| 104 | + // 90.0 and 0.0 degrees |
| 105 | + EXPECT_NEAR((smallestAngleDiff<T, T>(kPi / 2, 0)), -kPi / 2, kEpsilon); |
| 106 | + // -45.0 and 45.0 degrees |
| 107 | + EXPECT_NEAR((smallestAngleDiff<T, T>(-kPi / 4, kPi / 4)), kPi / 2, kEpsilon); |
| 108 | + // 45.0 and -45.0 degrees |
| 109 | + EXPECT_NEAR((smallestAngleDiff<T, T>(kPi / 4, -kPi / 4)), -kPi / 2, kEpsilon); |
| 110 | + // -45.0 and 135.0 degrees |
| 111 | + EXPECT_NEAR((smallestAngleDiff<T, T>(-kPi / 4, kPi / 2)), 3 * kPi / 4, kEpsilon); |
| 112 | + // 135.0 and -45.0 degrees |
| 113 | + EXPECT_NEAR((smallestAngleDiff<T, T>(kPi / 2, -kPi / 4)), -3 * kPi / 4, kEpsilon); |
| 114 | +} |
| 115 | + |
| 116 | +TYPED_TEST(FloatingPointTest, SmallestAngleDiffGivenAnglesOutsidePiAndMinusPi) { |
| 117 | + using T = TypeParam; |
| 118 | + |
| 119 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 120 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 121 | + |
| 122 | + // -450.0 to 360.0 degrees |
| 123 | + EXPECT_NEAR((smallestAngleDiff<T, T>(-5 * kPi / 2, 2 * kPi)), kPi / 2, kEpsilon); |
| 124 | + // 360.0 to -450.0 degrees |
| 125 | + EXPECT_NEAR((smallestAngleDiff<T, T>(2 * kPi, -5 * kPi / 2)), -kPi / 2, kEpsilon); |
| 126 | + // -450.0 to 270.0 degrees |
| 127 | + EXPECT_NEAR((smallestAngleDiff<T, T>(-5 * kPi / 2, 3 * kPi / 2)), 0.0, kEpsilon); |
| 128 | + // -450.0 to 270.0 degrees |
| 129 | + EXPECT_NEAR((smallestAngleDiff<T, T>(3 * kPi / 2, -5 * kPi / 2)), 0.0, kEpsilon); |
| 130 | +} |
| 131 | + |
| 132 | +// absSmallestAngleDiff ---------------------------------------------------------------------------- |
| 133 | +TYPED_TEST(FloatingPointTest, AbsSmallestAngleDiffGivenAnglesBetweenPiAndMinusPi) { |
| 134 | + using T = TypeParam; |
| 135 | + |
| 136 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 137 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 138 | + |
| 139 | + // 0.0 and 90.0 degrees |
| 140 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(0, kPi / 2)), kPi / 2, kEpsilon); |
| 141 | + // 90.0 and 0.0 degrees |
| 142 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(kPi / 2, 0)), kPi / 2, kEpsilon); |
| 143 | + // -45.0 and 45.0 degrees |
| 144 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(-kPi / 4, kPi / 4)), kPi / 2, kEpsilon); |
| 145 | + // 45.0 and -45.0 degrees |
| 146 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(kPi / 4, -kPi / 4)), kPi / 2, kEpsilon); |
| 147 | + // -45.0 and 135.0 degrees |
| 148 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(-kPi / 4, kPi / 2)), 3 * kPi / 4, kEpsilon); |
| 149 | + // 135.0 and -45.0 degrees |
| 150 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(kPi / 2, -kPi / 4)), 3 * kPi / 4, kEpsilon); |
| 151 | +} |
| 152 | + |
| 153 | +TYPED_TEST(FloatingPointTest, AbsSmallestAngleDiffGivenAnglesOutsidePiAndMinusPi) { |
| 154 | + using T = TypeParam; |
| 155 | + |
| 156 | + static constexpr T kEpsilon = epsilon_v<T>; |
| 157 | + static constexpr T kPi = std::numbers::pi_v<T>; |
| 158 | + |
| 159 | + // -450.0 to 360.0 degrees |
| 160 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(-5 * kPi / 2, 2 * kPi)), kPi / 2, kEpsilon); |
| 161 | + // 360.0 to -450.0 degrees |
| 162 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(2 * kPi, -5 * kPi / 2)), kPi / 2, kEpsilon); |
| 163 | + // -450.0 to 270.0 degrees |
| 164 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(-5 * kPi / 2, 3 * kPi / 2)), 0.0, kEpsilon); |
| 165 | + // -450.0 to 270.0 degrees |
| 166 | + EXPECT_NEAR((absSmallestAngleDiff<T, T>(3 * kPi / 2, -5 * kPi / 2)), 0.0, kEpsilon); |
| 167 | +} |
| 168 | + |
| 169 | +} // namespace |
| 170 | +} // namespace robocin |
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