415 lines
18 KiB
C++
415 lines
18 KiB
C++
/*************************************************************************/
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/* test_vector3.h */
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/*************************************************************************/
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/* This file is part of: */
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/* GODOT ENGINE */
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/* https://godotengine.org */
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/*************************************************************************/
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/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
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/* Copyright (c) 2014-2022 Godot Engine contributors (cf. AUTHORS.md). */
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/* */
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/* Permission is hereby granted, free of charge, to any person obtaining */
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/* a copy of this software and associated documentation files (the */
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/* "Software"), to deal in the Software without restriction, including */
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/* without limitation the rights to use, copy, modify, merge, publish, */
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/* distribute, sublicense, and/or sell copies of the Software, and to */
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/* permit persons to whom the Software is furnished to do so, subject to */
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/* the following conditions: */
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/* */
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/* The above copyright notice and this permission notice shall be */
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/* included in all copies or substantial portions of the Software. */
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/* */
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/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
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/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
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/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
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/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
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/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
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/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
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/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
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/*************************************************************************/
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#ifndef TEST_VECTOR3_H
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#define TEST_VECTOR3_H
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#include "core/math/vector3.h"
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#include "tests/test_macros.h"
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#define Math_SQRT13 0.57735026918962576450914878050196
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#define Math_SQRT3 1.7320508075688772935274463415059
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namespace TestVector3 {
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TEST_CASE("[Vector3] Angle methods") {
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const Vector3 vector_x = Vector3(1, 0, 0);
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const Vector3 vector_y = Vector3(0, 1, 0);
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const Vector3 vector_yz = Vector3(0, 1, 1);
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CHECK_MESSAGE(
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Math::is_equal_approx(vector_x.angle_to(vector_y), (real_t)Math_TAU / 4),
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"Vector3 angle_to should work as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector_x.angle_to(vector_yz), (real_t)Math_TAU / 4),
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"Vector3 angle_to should work as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector_yz.angle_to(vector_x), (real_t)Math_TAU / 4),
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"Vector3 angle_to should work as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector_y.angle_to(vector_yz), (real_t)Math_TAU / 8),
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"Vector3 angle_to should work as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector_x.signed_angle_to(vector_y, vector_y), (real_t)Math_TAU / 4),
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"Vector3 signed_angle_to edge case should be positive.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector_x.signed_angle_to(vector_yz, vector_y), (real_t)Math_TAU / -4),
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"Vector3 signed_angle_to should work as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector_yz.signed_angle_to(vector_x, vector_y), (real_t)Math_TAU / 4),
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"Vector3 signed_angle_to should work as expected.");
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}
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TEST_CASE("[Vector3] Axis methods") {
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Vector3 vector = Vector3(1.2, 3.4, 5.6);
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CHECK_MESSAGE(
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vector.max_axis_index() == Vector3::Axis::AXIS_Z,
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"Vector3 max_axis_index should work as expected.");
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CHECK_MESSAGE(
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vector.min_axis_index() == Vector3::Axis::AXIS_X,
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"Vector3 min_axis_index should work as expected.");
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CHECK_MESSAGE(
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vector.get_axis(vector.max_axis_index()) == (real_t)5.6,
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"Vector3 get_axis should work as expected.");
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CHECK_MESSAGE(
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vector[vector.min_axis_index()] == (real_t)1.2,
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"Vector3 array operator should work as expected.");
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vector.set_axis(Vector3::Axis::AXIS_Y, 4.7);
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CHECK_MESSAGE(
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vector.get_axis(Vector3::Axis::AXIS_Y) == (real_t)4.7,
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"Vector3 set_axis should work as expected.");
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vector[Vector3::Axis::AXIS_Y] = 3.7;
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CHECK_MESSAGE(
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vector[Vector3::Axis::AXIS_Y] == (real_t)3.7,
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"Vector3 array operator setter should work as expected.");
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}
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TEST_CASE("[Vector3] Interpolation methods") {
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const Vector3 vector1 = Vector3(1, 2, 3);
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const Vector3 vector2 = Vector3(4, 5, 6);
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CHECK_MESSAGE(
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vector1.lerp(vector2, 0.5) == Vector3(2.5, 3.5, 4.5),
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"Vector3 lerp should work as expected.");
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CHECK_MESSAGE(
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vector1.lerp(vector2, 1.0 / 3.0).is_equal_approx(Vector3(2, 3, 4)),
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"Vector3 lerp should work as expected.");
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CHECK_MESSAGE(
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vector1.normalized().slerp(vector2.normalized(), 0.5).is_equal_approx(Vector3(0.363866806030273438, 0.555698215961456299, 0.747529566287994385)),
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"Vector3 slerp should work as expected.");
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CHECK_MESSAGE(
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vector1.normalized().slerp(vector2.normalized(), 1.0 / 3.0).is_equal_approx(Vector3(0.332119762897491455, 0.549413740634918213, 0.766707837581634521)),
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"Vector3 slerp should work as expected.");
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CHECK_MESSAGE(
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Vector3(5, 0, 0).slerp(Vector3(0, 3, 4), 0.5).is_equal_approx(Vector3(3.535533905029296875, 2.121320486068725586, 2.828427314758300781)),
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"Vector3 slerp with non-normalized values should work as expected.");
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CHECK_MESSAGE(
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Vector3().slerp(Vector3(), 0.5) == Vector3(),
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"Vector3 slerp with both inputs as zero vectors should return a zero vector.");
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CHECK_MESSAGE(
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Vector3().slerp(Vector3(1, 1, 1), 0.5) == Vector3(0.5, 0.5, 0.5),
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"Vector3 slerp with one input as zero should behave like a regular lerp.");
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CHECK_MESSAGE(
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Vector3(1, 1, 1).slerp(Vector3(), 0.5) == Vector3(0.5, 0.5, 0.5),
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"Vector3 slerp with one input as zero should behave like a regular lerp.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector1.slerp(vector2, 0.5).length(), (real_t)6.25831088708303172),
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"Vector3 slerp with different length input should return a vector with an interpolated length.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector1.angle_to(vector1.slerp(vector2, 0.5)) * 2, vector1.angle_to(vector2)),
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"Vector3 slerp with different length input should return a vector with an interpolated angle.");
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CHECK_MESSAGE(
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vector1.cubic_interpolate(vector2, Vector3(), Vector3(7, 7, 7), 0.5) == Vector3(2.375, 3.5, 4.625),
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"Vector3 cubic_interpolate should work as expected.");
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CHECK_MESSAGE(
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vector1.cubic_interpolate(vector2, Vector3(), Vector3(7, 7, 7), 1.0 / 3.0).is_equal_approx(Vector3(1.851851940155029297, 2.962963104248046875, 4.074074268341064453)),
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"Vector3 cubic_interpolate should work as expected.");
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CHECK_MESSAGE(
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Vector3(1, 0, 0).move_toward(Vector3(10, 0, 0), 3) == Vector3(4, 0, 0),
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"Vector3 move_toward should work as expected.");
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}
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TEST_CASE("[Vector3] Length methods") {
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const Vector3 vector1 = Vector3(10, 10, 10);
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const Vector3 vector2 = Vector3(20, 30, 40);
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CHECK_MESSAGE(
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vector1.length_squared() == 300,
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"Vector3 length_squared should work as expected and return exact result.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector1.length(), 10 * (real_t)Math_SQRT3),
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"Vector3 length should work as expected.");
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CHECK_MESSAGE(
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vector2.length_squared() == 2900,
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"Vector3 length_squared should work as expected and return exact result.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector2.length(), (real_t)53.8516480713450403125),
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"Vector3 length should work as expected.");
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CHECK_MESSAGE(
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vector1.distance_squared_to(vector2) == 1400,
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"Vector3 distance_squared_to should work as expected and return exact result.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector1.distance_to(vector2), (real_t)37.41657386773941385584),
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"Vector3 distance_to should work as expected.");
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}
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TEST_CASE("[Vector3] Limiting methods") {
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const Vector3 vector = Vector3(10, 10, 10);
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CHECK_MESSAGE(
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vector.limit_length().is_equal_approx(Vector3(Math_SQRT13, Math_SQRT13, Math_SQRT13)),
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"Vector3 limit_length should work as expected.");
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CHECK_MESSAGE(
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vector.limit_length(5).is_equal_approx(5 * Vector3(Math_SQRT13, Math_SQRT13, Math_SQRT13)),
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"Vector3 limit_length should work as expected.");
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CHECK_MESSAGE(
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Vector3(-5, 5, 15).clamp(Vector3(), vector) == Vector3(0, 5, 10),
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"Vector3 clamp should work as expected.");
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CHECK_MESSAGE(
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vector.clamp(Vector3(0, 10, 15), Vector3(5, 10, 20)) == Vector3(5, 10, 15),
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"Vector3 clamp should work as expected.");
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}
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TEST_CASE("[Vector3] Normalization methods") {
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CHECK_MESSAGE(
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Vector3(1, 0, 0).is_normalized() == true,
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"Vector3 is_normalized should return true for a normalized vector.");
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CHECK_MESSAGE(
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Vector3(1, 1, 1).is_normalized() == false,
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"Vector3 is_normalized should return false for a non-normalized vector.");
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CHECK_MESSAGE(
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Vector3(1, 0, 0).normalized() == Vector3(1, 0, 0),
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"Vector3 normalized should return the same vector for a normalized vector.");
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CHECK_MESSAGE(
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Vector3(1, 1, 0).normalized().is_equal_approx(Vector3(Math_SQRT12, Math_SQRT12, 0)),
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"Vector3 normalized should work as expected.");
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CHECK_MESSAGE(
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Vector3(1, 1, 1).normalized().is_equal_approx(Vector3(Math_SQRT13, Math_SQRT13, Math_SQRT13)),
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"Vector3 normalized should work as expected.");
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}
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TEST_CASE("[Vector3] Operators") {
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const Vector3 decimal1 = Vector3(2.3, 4.9, 7.8);
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const Vector3 decimal2 = Vector3(1.2, 3.4, 5.6);
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const Vector3 power1 = Vector3(0.75, 1.5, 0.625);
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const Vector3 power2 = Vector3(0.5, 0.125, 0.25);
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const Vector3 int1 = Vector3(4, 5, 9);
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const Vector3 int2 = Vector3(1, 2, 3);
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CHECK_MESSAGE(
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(decimal1 + decimal2).is_equal_approx(Vector3(3.5, 8.3, 13.4)),
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"Vector3 addition should behave as expected.");
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CHECK_MESSAGE(
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(power1 + power2) == Vector3(1.25, 1.625, 0.875),
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"Vector3 addition with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 + int2) == Vector3(5, 7, 12),
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"Vector3 addition with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 - decimal2).is_equal_approx(Vector3(1.1, 1.5, 2.2)),
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"Vector3 subtraction should behave as expected.");
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CHECK_MESSAGE(
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(power1 - power2) == Vector3(0.25, 1.375, 0.375),
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"Vector3 subtraction with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 - int2) == Vector3(3, 3, 6),
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"Vector3 subtraction with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 * decimal2).is_equal_approx(Vector3(2.76, 16.66, 43.68)),
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"Vector3 multiplication should behave as expected.");
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CHECK_MESSAGE(
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(power1 * power2) == Vector3(0.375, 0.1875, 0.15625),
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"Vector3 multiplication with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 * int2) == Vector3(4, 10, 27),
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"Vector3 multiplication with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 / decimal2).is_equal_approx(Vector3(1.91666666666666666, 1.44117647058823529, 1.39285714285714286)),
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"Vector3 division should behave as expected.");
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CHECK_MESSAGE(
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(power1 / power2) == Vector3(1.5, 12.0, 2.5),
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"Vector3 division with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 / int2) == Vector3(4, 2.5, 3),
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"Vector3 division with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 * 2).is_equal_approx(Vector3(4.6, 9.8, 15.6)),
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"Vector3 multiplication should behave as expected.");
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CHECK_MESSAGE(
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(power1 * 2) == Vector3(1.5, 3, 1.25),
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"Vector3 multiplication with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 * 2) == Vector3(8, 10, 18),
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"Vector3 multiplication with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 / 2).is_equal_approx(Vector3(1.15, 2.45, 3.9)),
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"Vector3 division should behave as expected.");
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CHECK_MESSAGE(
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(power1 / 2) == Vector3(0.375, 0.75, 0.3125),
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"Vector3 division with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 / 2) == Vector3(2, 2.5, 4.5),
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"Vector3 division with integers should give exact results.");
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CHECK_MESSAGE(
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((Vector3i)decimal1) == Vector3i(2, 4, 7),
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"Vector3 cast to Vector3i should work as expected.");
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CHECK_MESSAGE(
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((Vector3i)decimal2) == Vector3i(1, 3, 5),
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"Vector3 cast to Vector3i should work as expected.");
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CHECK_MESSAGE(
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Vector3(Vector3i(1, 2, 3)) == Vector3(1, 2, 3),
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"Vector3 constructed from Vector3i should work as expected.");
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CHECK_MESSAGE(
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((String)decimal1) == "(2.3, 4.9, 7.8)",
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"Vector3 cast to String should work as expected.");
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CHECK_MESSAGE(
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((String)decimal2) == "(1.2, 3.4, 5.6)",
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"Vector3 cast to String should work as expected.");
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CHECK_MESSAGE(
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((String)Vector3(9.7, 9.8, 9.9)) == "(9.7, 9.8, 9.9)",
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"Vector3 cast to String should work as expected.");
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#ifdef REAL_T_IS_DOUBLE
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CHECK_MESSAGE(
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((String)Vector3(Math_E, Math_SQRT2, Math_SQRT3)) == "(2.71828182845905, 1.4142135623731, 1.73205080756888)",
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"Vector3 cast to String should print the correct amount of digits for real_t = double.");
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#else
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CHECK_MESSAGE(
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((String)Vector3(Math_E, Math_SQRT2, Math_SQRT3)) == "(2.718282, 1.414214, 1.732051)",
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"Vector3 cast to String should print the correct amount of digits for real_t = float.");
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#endif // REAL_T_IS_DOUBLE
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}
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TEST_CASE("[Vector3] Other methods") {
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const Vector3 vector = Vector3(1.2, 3.4, 5.6);
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CHECK_MESSAGE(
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vector.direction_to(Vector3()).is_equal_approx(-vector.normalized()),
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"Vector3 direction_to should work as expected.");
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CHECK_MESSAGE(
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Vector3(1, 1, 1).direction_to(Vector3(2, 2, 2)).is_equal_approx(Vector3(Math_SQRT13, Math_SQRT13, Math_SQRT13)),
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"Vector3 direction_to should work as expected.");
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CHECK_MESSAGE(
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vector.inverse().is_equal_approx(Vector3(1 / 1.2, 1 / 3.4, 1 / 5.6)),
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"Vector3 inverse should work as expected.");
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CHECK_MESSAGE(
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vector.posmod(2).is_equal_approx(Vector3(1.2, 1.4, 1.6)),
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"Vector3 posmod should work as expected.");
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CHECK_MESSAGE(
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(-vector).posmod(2).is_equal_approx(Vector3(0.8, 0.6, 0.4)),
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"Vector3 posmod should work as expected.");
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CHECK_MESSAGE(
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vector.posmodv(Vector3(1, 2, 3)).is_equal_approx(Vector3(0.2, 1.4, 2.6)),
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"Vector3 posmodv should work as expected.");
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CHECK_MESSAGE(
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(-vector).posmodv(Vector3(2, 3, 4)).is_equal_approx(Vector3(0.8, 2.6, 2.4)),
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"Vector3 posmodv should work as expected.");
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CHECK_MESSAGE(
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vector.rotated(Vector3(0, 1, 0), Math_TAU / 4).is_equal_approx(Vector3(5.6, 3.4, -1.2)),
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"Vector3 rotated should work as expected.");
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CHECK_MESSAGE(
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vector.snapped(Vector3(1, 1, 1)) == Vector3(1, 3, 6),
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"Vector3 snapped to integers should be the same as rounding.");
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CHECK_MESSAGE(
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vector.snapped(Vector3(0.25, 0.25, 0.25)) == Vector3(1.25, 3.5, 5.5),
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"Vector3 snapped to 0.25 should give exact results.");
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}
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TEST_CASE("[Vector3] Plane methods") {
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const Vector3 vector = Vector3(1.2, 3.4, 5.6);
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const Vector3 vector_y = Vector3(0, 1, 0);
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CHECK_MESSAGE(
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vector.bounce(vector_y) == Vector3(1.2, -3.4, 5.6),
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"Vector3 bounce on a plane with normal of the Y axis should.");
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CHECK_MESSAGE(
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vector.reflect(vector_y) == Vector3(-1.2, 3.4, -5.6),
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"Vector3 reflect on a plane with normal of the Y axis should.");
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CHECK_MESSAGE(
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vector.project(vector_y) == Vector3(0, 3.4, 0),
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"Vector3 projected on the X axis should only give the Y component.");
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CHECK_MESSAGE(
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vector.slide(vector_y) == Vector3(1.2, 0, 5.6),
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"Vector3 slide on a plane with normal of the Y axis should set the Y to zero.");
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}
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TEST_CASE("[Vector3] Rounding methods") {
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const Vector3 vector1 = Vector3(1.2, 3.4, 5.6);
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const Vector3 vector2 = Vector3(1.2, -3.4, -5.6);
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CHECK_MESSAGE(
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vector1.abs() == vector1,
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"Vector3 abs should work as expected.");
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CHECK_MESSAGE(
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vector2.abs() == vector1,
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"Vector3 abs should work as expected.");
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CHECK_MESSAGE(
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vector1.ceil() == Vector3(2, 4, 6),
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"Vector3 ceil should work as expected.");
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CHECK_MESSAGE(
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vector2.ceil() == Vector3(2, -3, -5),
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"Vector3 ceil should work as expected.");
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CHECK_MESSAGE(
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vector1.floor() == Vector3(1, 3, 5),
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"Vector3 floor should work as expected.");
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CHECK_MESSAGE(
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vector2.floor() == Vector3(1, -4, -6),
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"Vector3 floor should work as expected.");
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CHECK_MESSAGE(
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vector1.round() == Vector3(1, 3, 6),
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"Vector3 round should work as expected.");
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CHECK_MESSAGE(
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vector2.round() == Vector3(1, -3, -6),
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"Vector3 round should work as expected.");
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CHECK_MESSAGE(
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vector1.sign() == Vector3(1, 1, 1),
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"Vector3 sign should work as expected.");
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CHECK_MESSAGE(
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vector2.sign() == Vector3(1, -1, -1),
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"Vector3 sign should work as expected.");
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}
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TEST_CASE("[Vector3] Linear algebra methods") {
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const Vector3 vector_x = Vector3(1, 0, 0);
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const Vector3 vector_y = Vector3(0, 1, 0);
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const Vector3 vector_z = Vector3(0, 0, 1);
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CHECK_MESSAGE(
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vector_x.cross(vector_y) == vector_z,
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"Vector3 cross product of X and Y should give Z.");
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CHECK_MESSAGE(
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|
vector_y.cross(vector_x) == -vector_z,
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|
"Vector3 cross product of Y and X should give negative Z.");
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CHECK_MESSAGE(
|
|
vector_y.cross(vector_z) == vector_x,
|
|
"Vector3 cross product of Y and Z should give X.");
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CHECK_MESSAGE(
|
|
vector_z.cross(vector_x) == vector_y,
|
|
"Vector3 cross product of Z and X should give Y.");
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|
|
|
CHECK_MESSAGE(
|
|
vector_x.dot(vector_y) == 0.0,
|
|
"Vector3 dot product of perpendicular vectors should be zero.");
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|
CHECK_MESSAGE(
|
|
vector_x.dot(vector_x) == 1.0,
|
|
"Vector3 dot product of identical unit vectors should be one.");
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|
CHECK_MESSAGE(
|
|
(vector_x * 10).dot(vector_x * 10) == 100.0,
|
|
"Vector3 dot product of same direction vectors should behave as expected.");
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|
}
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} // namespace TestVector3
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|
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#endif // TEST_VECTOR3_H
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