397 lines
16 KiB
C++
397 lines
16 KiB
C++
/*************************************************************************/
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/* test_vector4.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_VECTOR4_H
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#define TEST_VECTOR4_H
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#include "core/math/vector4.h"
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#include "tests/test_macros.h"
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#define Math_SQRT3 1.7320508075688772935274463415059
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namespace TestVector4 {
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TEST_CASE("[Vector4] Constructor methods") {
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const Vector4 vector_empty = Vector4();
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const Vector4 vector_zero = Vector4(0.0, 0.0, 0.0, 0.0);
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CHECK_MESSAGE(
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vector_empty == vector_zero,
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"Vector4 Constructor with no inputs should return a zero Vector4.");
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}
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TEST_CASE("[Vector4] Axis methods") {
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Vector4 vector = Vector4(1.2, 3.4, 5.6, -0.9);
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CHECK_MESSAGE(
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vector.max_axis_index() == Vector4::Axis::AXIS_Z,
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"Vector4 max_axis_index should work as expected.");
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CHECK_MESSAGE(
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vector.min_axis_index() == Vector4::Axis::AXIS_W,
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"Vector4 min_axis_index should work as expected.");
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CHECK_MESSAGE(
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vector[vector.max_axis_index()] == (real_t)5.6,
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"Vector4 array operator should work as expected.");
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CHECK_MESSAGE(
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vector[vector.min_axis_index()] == (real_t)-0.9,
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"Vector4 array operator should work as expected.");
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vector[Vector4::Axis::AXIS_Y] = 3.7;
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CHECK_MESSAGE(
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vector[Vector4::Axis::AXIS_Y] == (real_t)3.7,
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"Vector4 array operator setter should work as expected.");
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}
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TEST_CASE("[Vector4] Interpolation methods") {
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const Vector4 vector1 = Vector4(1, 2, 3, 4);
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const Vector4 vector2 = Vector4(4, 5, 6, 7);
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CHECK_MESSAGE(
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vector1.lerp(vector2, 0.5) == Vector4(2.5, 3.5, 4.5, 5.5),
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"Vector4 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(Vector4(2, 3, 4, 5)),
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"Vector4 lerp should work as expected.");
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CHECK_MESSAGE(
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vector1.cubic_interpolate(vector2, Vector4(), Vector4(7, 7, 7, 7), 0.5) == Vector4(2.375, 3.5, 4.625, 5.75),
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"Vector4 cubic_interpolate should work as expected.");
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CHECK_MESSAGE(
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vector1.cubic_interpolate(vector2, Vector4(), Vector4(7, 7, 7, 7), 1.0 / 3.0).is_equal_approx(Vector4(1.851851940155029297, 2.962963104248046875, 4.074074268341064453, 5.185185185185)),
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"Vector4 cubic_interpolate should work as expected.");
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}
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TEST_CASE("[Vector4] Length methods") {
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const Vector4 vector1 = Vector4(10, 10, 10, 10);
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const Vector4 vector2 = Vector4(20, 30, 40, 50);
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CHECK_MESSAGE(
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vector1.length_squared() == 400,
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"Vector4 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(), 20),
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"Vector4 length should work as expected.");
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CHECK_MESSAGE(
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vector2.length_squared() == 5400,
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"Vector4 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)73.484692283495),
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"Vector4 length should work as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector1.distance_to(vector2), (real_t)54.772255750517),
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"Vector4 distance_to should work as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx(vector1.distance_squared_to(vector2), 3000),
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"Vector4 distance_squared_to should work as expected.");
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}
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TEST_CASE("[Vector4] Limiting methods") {
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const Vector4 vector = Vector4(10, 10, 10, 10);
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CHECK_MESSAGE(
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Vector4(-5, 5, 15, -15).clamp(Vector4(), vector) == Vector4(0, 5, 10, 0),
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"Vector4 clamp should work as expected.");
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CHECK_MESSAGE(
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vector.clamp(Vector4(0, 10, 15, 18), Vector4(5, 10, 20, 25)) == Vector4(5, 10, 15, 18),
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"Vector4 clamp should work as expected.");
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}
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TEST_CASE("[Vector4] Normalization methods") {
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CHECK_MESSAGE(
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Vector4(1, 0, 0, 0).is_normalized() == true,
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"Vector4 is_normalized should return true for a normalized vector.");
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CHECK_MESSAGE(
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Vector4(1, 1, 1, 1).is_normalized() == false,
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"Vector4 is_normalized should return false for a non-normalized vector.");
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CHECK_MESSAGE(
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Vector4(1, 0, 0, 0).normalized() == Vector4(1, 0, 0, 0),
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"Vector4 normalized should return the same vector for a normalized vector.");
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CHECK_MESSAGE(
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Vector4(1, 1, 0, 0).normalized().is_equal_approx(Vector4(Math_SQRT12, Math_SQRT12, 0, 0)),
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"Vector4 normalized should work as expected.");
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CHECK_MESSAGE(
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Vector4(1, 1, 1, 1).normalized().is_equal_approx(Vector4(0.5, 0.5, 0.5, 0.5)),
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"Vector4 normalized should work as expected.");
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}
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TEST_CASE("[Vector4] Operators") {
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const Vector4 decimal1 = Vector4(2.3, 4.9, 7.8, 3.2);
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const Vector4 decimal2 = Vector4(1.2, 3.4, 5.6, 1.7);
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const Vector4 power1 = Vector4(0.75, 1.5, 0.625, 0.125);
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const Vector4 power2 = Vector4(0.5, 0.125, 0.25, 0.75);
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const Vector4 int1 = Vector4(4, 5, 9, 2);
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const Vector4 int2 = Vector4(1, 2, 3, 1);
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CHECK_MESSAGE(
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-decimal1 == Vector4(-2.3, -4.9, -7.8, -3.2),
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"Vector4 change of sign should work as expected.");
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CHECK_MESSAGE(
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(decimal1 + decimal2).is_equal_approx(Vector4(3.5, 8.3, 13.4, 4.9)),
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"Vector4 addition should behave as expected.");
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CHECK_MESSAGE(
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(power1 + power2) == Vector4(1.25, 1.625, 0.875, 0.875),
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"Vector4 addition with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 + int2) == Vector4(5, 7, 12, 3),
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"Vector4 addition with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 - decimal2).is_equal_approx(Vector4(1.1, 1.5, 2.2, 1.5)),
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"Vector4 subtraction should behave as expected.");
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CHECK_MESSAGE(
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(power1 - power2) == Vector4(0.25, 1.375, 0.375, -0.625),
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"Vector4 subtraction with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 - int2) == Vector4(3, 3, 6, 1),
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"Vector4 subtraction with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 * decimal2).is_equal_approx(Vector4(2.76, 16.66, 43.68, 5.44)),
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"Vector4 multiplication should behave as expected.");
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CHECK_MESSAGE(
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(power1 * power2) == Vector4(0.375, 0.1875, 0.15625, 0.09375),
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"Vector4 multiplication with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 * int2) == Vector4(4, 10, 27, 2),
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"Vector4 multiplication with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 / decimal2).is_equal_approx(Vector4(1.91666666666666666, 1.44117647058823529, 1.39285714285714286, 1.88235294118)),
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"Vector4 division should behave as expected.");
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CHECK_MESSAGE(
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(power1 / power2) == Vector4(1.5, 12.0, 2.5, 1.0 / 6.0),
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"Vector4 division with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 / int2) == Vector4(4, 2.5, 3, 2),
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"Vector4 division with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 * 2).is_equal_approx(Vector4(4.6, 9.8, 15.6, 6.4)),
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"Vector4 multiplication should behave as expected.");
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CHECK_MESSAGE(
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(power1 * 2) == Vector4(1.5, 3, 1.25, 0.25),
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"Vector4 multiplication with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 * 2) == Vector4(8, 10, 18, 4),
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"Vector4 multiplication with integers should give exact results.");
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CHECK_MESSAGE(
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(decimal1 / 2).is_equal_approx(Vector4(1.15, 2.45, 3.9, 1.6)),
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"Vector4 division should behave as expected.");
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CHECK_MESSAGE(
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(power1 / 2) == Vector4(0.375, 0.75, 0.3125, 0.0625),
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"Vector4 division with powers of two should give exact results.");
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CHECK_MESSAGE(
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(int1 / 2) == Vector4(2, 2.5, 4.5, 1),
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"Vector4 division with integers should give exact results.");
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CHECK_MESSAGE(
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((String)decimal1) == "(2.3, 4.9, 7.8, 3.2)",
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"Vector4 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, 1.7)",
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"Vector4 cast to String should work as expected.");
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CHECK_MESSAGE(
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((String)Vector4(9.7, 9.8, 9.9, -1.8)) == "(9.7, 9.8, 9.9, -1.8)",
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"Vector4 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)Vector4(Math_E, Math_SQRT2, Math_SQRT3, Math_SQRT3)) == "(2.71828182845905, 1.4142135623731, 1.73205080756888, 1.73205080756888)",
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"Vector4 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)Vector4(Math_E, Math_SQRT2, Math_SQRT3, Math_SQRT3)) == "(2.718282, 1.414214, 1.732051, 1.732051)",
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"Vector4 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("[Vector4] Other methods") {
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const Vector4 vector = Vector4(1.2, 3.4, 5.6, 1.6);
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CHECK_MESSAGE(
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vector.direction_to(Vector4()).is_equal_approx(-vector.normalized()),
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"Vector4 direction_to should work as expected.");
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CHECK_MESSAGE(
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Vector4(1, 1, 1, 1).direction_to(Vector4(2, 2, 2, 2)).is_equal_approx(Vector4(0.5, 0.5, 0.5, 0.5)),
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"Vector4 direction_to should work as expected.");
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CHECK_MESSAGE(
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vector.inverse().is_equal_approx(Vector4(1 / 1.2, 1 / 3.4, 1 / 5.6, 1 / 1.6)),
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"Vector4 inverse should work as expected.");
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CHECK_MESSAGE(
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vector.posmod(2).is_equal_approx(Vector4(1.2, 1.4, 1.6, 1.6)),
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"Vector4 posmod should work as expected.");
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CHECK_MESSAGE(
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(-vector).posmod(2).is_equal_approx(Vector4(0.8, 0.6, 0.4, 0.4)),
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"Vector4 posmod should work as expected.");
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CHECK_MESSAGE(
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vector.posmodv(Vector4(1, 2, 3, 4)).is_equal_approx(Vector4(0.2, 1.4, 2.6, 1.6)),
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"Vector4 posmodv should work as expected.");
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CHECK_MESSAGE(
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(-vector).posmodv(Vector4(2, 3, 4, 5)).is_equal_approx(Vector4(0.8, 2.6, 2.4, 3.4)),
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"Vector4 posmodv should work as expected.");
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CHECK_MESSAGE(
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vector.snapped(Vector4(1, 1, 1, 1)) == Vector4(1, 3, 6, 2),
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"Vector4 snapped to integers should be the same as rounding.");
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CHECK_MESSAGE(
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vector.snapped(Vector4(0.25, 0.25, 0.25, 0.25)) == Vector4(1.25, 3.5, 5.5, 1.5),
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"Vector4 snapped to 0.25 should give exact results.");
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}
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TEST_CASE("[Vector4] Rounding methods") {
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const Vector4 vector1 = Vector4(1.2, 3.4, 5.6, 1.6);
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const Vector4 vector2 = Vector4(1.2, -3.4, -5.6, -1.6);
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CHECK_MESSAGE(
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vector1.abs() == vector1,
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"Vector4 abs should work as expected.");
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CHECK_MESSAGE(
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vector2.abs() == vector1,
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"Vector4 abs should work as expected.");
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CHECK_MESSAGE(
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vector1.ceil() == Vector4(2, 4, 6, 2),
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"Vector4 ceil should work as expected.");
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CHECK_MESSAGE(
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vector2.ceil() == Vector4(2, -3, -5, -1),
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"Vector4 ceil should work as expected.");
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CHECK_MESSAGE(
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vector1.floor() == Vector4(1, 3, 5, 1),
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"Vector4 floor should work as expected.");
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CHECK_MESSAGE(
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vector2.floor() == Vector4(1, -4, -6, -2),
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"Vector4 floor should work as expected.");
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CHECK_MESSAGE(
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vector1.round() == Vector4(1, 3, 6, 2),
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"Vector4 round should work as expected.");
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CHECK_MESSAGE(
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vector2.round() == Vector4(1, -3, -6, -2),
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"Vector4 round should work as expected.");
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CHECK_MESSAGE(
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vector1.sign() == Vector4(1, 1, 1, 1),
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"Vector4 sign should work as expected.");
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CHECK_MESSAGE(
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vector2.sign() == Vector4(1, -1, -1, -1),
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"Vector4 sign should work as expected.");
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}
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TEST_CASE("[Vector4] Linear algebra methods") {
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const Vector4 vector_x = Vector4(1, 0, 0, 0);
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const Vector4 vector_y = Vector4(0, 1, 0, 0);
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const Vector4 vector1 = Vector4(1.7, 2.3, 1, 9.1);
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const Vector4 vector2 = Vector4(-8.2, -16, 3, 2.4);
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CHECK_MESSAGE(
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vector_x.dot(vector_y) == 0.0,
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"Vector4 dot product of perpendicular vectors should be zero.");
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CHECK_MESSAGE(
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vector_x.dot(vector_x) == 1.0,
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"Vector4 dot product of identical unit vectors should be one.");
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CHECK_MESSAGE(
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(vector_x * 10).dot(vector_x * 10) == 100.0,
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"Vector4 dot product of same direction vectors should behave as expected.");
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CHECK_MESSAGE(
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Math::is_equal_approx((vector1 * 2).dot(vector2 * 4), (real_t)-25.9 * 8),
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"Vector4 dot product should work as expected.");
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}
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TEST_CASE("[Vector4] Finite number checks") {
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const double infinite[] = { NAN, INFINITY, -INFINITY };
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CHECK_MESSAGE(
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Vector4(0, 1, 2, 3).is_finite(),
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"Vector4(0, 1, 2, 3) should be finite");
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for (double x : infinite) {
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CHECK_FALSE_MESSAGE(
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Vector4(x, 1, 2, 3).is_finite(),
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"Vector4 with one component infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(0, x, 2, 3).is_finite(),
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"Vector4 with one component infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(0, 1, x, 3).is_finite(),
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"Vector4 with one component infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(0, 1, 2, x).is_finite(),
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"Vector4 with one component infinite should not be finite.");
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}
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for (double x : infinite) {
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for (double y : infinite) {
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CHECK_FALSE_MESSAGE(
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Vector4(x, y, 2, 3).is_finite(),
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"Vector4 with two components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(x, 1, y, 3).is_finite(),
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"Vector4 with two components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(x, 1, 2, y).is_finite(),
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"Vector4 with two components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(0, x, y, 3).is_finite(),
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"Vector4 with two components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(0, x, 2, y).is_finite(),
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"Vector4 with two components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(0, 1, x, y).is_finite(),
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"Vector4 with two components infinite should not be finite.");
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}
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}
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for (double x : infinite) {
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for (double y : infinite) {
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for (double z : infinite) {
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CHECK_FALSE_MESSAGE(
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Vector4(0, x, y, z).is_finite(),
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"Vector4 with three components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(x, 1, y, z).is_finite(),
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"Vector4 with three components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(x, y, 2, z).is_finite(),
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"Vector4 with three components infinite should not be finite.");
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CHECK_FALSE_MESSAGE(
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Vector4(x, y, z, 3).is_finite(),
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"Vector4 with three components infinite should not be finite.");
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}
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}
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}
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for (double x : infinite) {
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for (double y : infinite) {
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for (double z : infinite) {
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for (double w : infinite) {
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CHECK_FALSE_MESSAGE(
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Vector4(x, y, z, w).is_finite(),
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"Vector4 with four components infinite should not be finite.");
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}
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}
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}
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}
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}
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} // namespace TestVector4
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#endif // TEST_VECTOR4_H
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