From e62955b45b36b7f0330960e13b9d50963972d6e2 Mon Sep 17 00:00:00 2001 From: Hendrik Brucker Date: Fri, 4 Nov 2022 03:08:08 +0100 Subject: Add a test suite for `Math::` namespace functions Co-authored-by: Hugo Locurcio --- tests/core/math/test_math_funcs.h | 556 ++++++++++++++++++++++++++++++++++++++ tests/test_main.cpp | 1 + 2 files changed, 557 insertions(+) create mode 100644 tests/core/math/test_math_funcs.h (limited to 'tests') diff --git a/tests/core/math/test_math_funcs.h b/tests/core/math/test_math_funcs.h new file mode 100644 index 0000000000..c468e73b74 --- /dev/null +++ b/tests/core/math/test_math_funcs.h @@ -0,0 +1,556 @@ +/*************************************************************************/ +/* test_math_funcs.h */ +/*************************************************************************/ +/* This file is part of: */ +/* GODOT ENGINE */ +/* https://godotengine.org */ +/*************************************************************************/ +/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */ +/* Copyright (c) 2014-2022 Godot Engine contributors (cf. AUTHORS.md). */ +/* */ +/* Permission is hereby granted, free of charge, to any person obtaining */ +/* a copy of this software and associated documentation files (the */ +/* "Software"), to deal in the Software without restriction, including */ +/* without limitation the rights to use, copy, modify, merge, publish, */ +/* distribute, sublicense, and/or sell copies of the Software, and to */ +/* permit persons to whom the Software is furnished to do so, subject to */ +/* the following conditions: */ +/* */ +/* The above copyright notice and this permission notice shall be */ +/* included in all copies or substantial portions of the Software. */ +/* */ +/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */ +/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */ +/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/ +/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */ +/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */ +/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */ +/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */ +/*************************************************************************/ + +#ifndef TEST_MATH_FUNCS_H +#define TEST_MATH_FUNCS_H + +#include "tests/test_macros.h" + +namespace TestMath { + +TEST_CASE("[Math] C++ macros") { + CHECK(MIN(-2, 2) == -2); + CHECK(MIN(600, 2) == 2); + + CHECK(MAX(-2, 2) == 2); + CHECK(MAX(600, 2) == 600); + + CHECK(CLAMP(600, -2, 2) == 2); + CHECK(CLAMP(620, 600, 650) == 620); + // `max` is lower than `min`. + CHECK(CLAMP(620, 600, 50) == 50); + + CHECK(ABS(-5) == 5); + CHECK(ABS(0) == 0); + CHECK(ABS(5) == 5); + + CHECK(SIGN(-5) == -1.0); + CHECK(SIGN(0) == 0.0); + CHECK(SIGN(5) == 1.0); +} + +TEST_CASE("[Math] Power of two functions") { + CHECK(next_power_of_2(0) == 0); + CHECK(next_power_of_2(1) == 1); + CHECK(next_power_of_2(16) == 16); + CHECK(next_power_of_2(17) == 32); + CHECK(next_power_of_2(65535) == 65536); + + CHECK(previous_power_of_2(0) == 0); + CHECK(previous_power_of_2(1) == 1); + CHECK(previous_power_of_2(16) == 16); + CHECK(previous_power_of_2(17) == 16); + CHECK(previous_power_of_2(65535) == 32768); + + CHECK(closest_power_of_2(0) == 0); + CHECK(closest_power_of_2(1) == 1); + CHECK(closest_power_of_2(16) == 16); + CHECK(closest_power_of_2(17) == 16); + CHECK(closest_power_of_2(65535) == 65536); + + CHECK(get_shift_from_power_of_2(0) == -1); + CHECK(get_shift_from_power_of_2(1) == 0); + CHECK(get_shift_from_power_of_2(16) == 4); + CHECK(get_shift_from_power_of_2(17) == -1); + CHECK(get_shift_from_power_of_2(65535) == -1); + + CHECK(nearest_shift(0) == 0); + CHECK(nearest_shift(1) == 1); + CHECK(nearest_shift(16) == 5); + CHECK(nearest_shift(17) == 5); + CHECK(nearest_shift(65535) == 16); +} + +TEST_CASE("[Math] abs") { + // int + CHECK(Math::abs(-1) == 1); + CHECK(Math::abs(0) == 0); + CHECK(Math::abs(1) == 1); + + // double + CHECK(Math::abs(-0.1) == 0.1); + CHECK(Math::abs(0.0) == 0.0); + CHECK(Math::abs(0.1) == 0.1); + + // float + CHECK(Math::abs(-0.1f) == 0.1f); + CHECK(Math::abs(0.0f) == 0.0f); + CHECK(Math::abs(0.1f) == 0.1f); +} + +TEST_CASE("[Math] round/floor/ceil") { + CHECK(Math::round(1.5) == 2.0); + CHECK(Math::round(1.6) == 2.0); + CHECK(Math::round(-1.5) == -2.0); + CHECK(Math::round(-1.1) == -1.0); + + CHECK(Math::floor(1.5) == 1.0); + CHECK(Math::floor(-1.5) == -2.0); + + CHECK(Math::ceil(1.5) == 2.0); + CHECK(Math::ceil(-1.9) == -1.0); +} + +TEST_CASE("[Math] sin/cos/tan") { + CHECK(Math::sin(-0.1) == doctest::Approx(-0.0998334166)); + CHECK(Math::sin(0.1) == doctest::Approx(0.0998334166)); + CHECK(Math::sin(0.5) == doctest::Approx(0.4794255386)); + CHECK(Math::sin(1.0) == doctest::Approx(0.8414709848)); + CHECK(Math::sin(1.5) == doctest::Approx(0.9974949866)); + CHECK(Math::sin(450.0) == doctest::Approx(-0.683283725)); + + CHECK(Math::cos(-0.1) == doctest::Approx(0.99500416530)); + CHECK(Math::cos(0.1) == doctest::Approx(0.9950041653)); + CHECK(Math::cos(0.5) == doctest::Approx(0.8775825619)); + CHECK(Math::cos(1.0) == doctest::Approx(0.5403023059)); + CHECK(Math::cos(1.5) == doctest::Approx(0.0707372017)); + CHECK(Math::cos(450.0) == doctest::Approx(-0.7301529642)); + + CHECK(Math::tan(-0.1) == doctest::Approx(-0.1003346721)); + CHECK(Math::tan(0.1) == doctest::Approx(0.1003346721)); + CHECK(Math::tan(0.5) == doctest::Approx(0.5463024898)); + CHECK(Math::tan(1.0) == doctest::Approx(1.5574077247)); + CHECK(Math::tan(1.5) == doctest::Approx(14.1014199472)); + CHECK(Math::tan(450.0) == doctest::Approx(0.9358090134)); +} + +TEST_CASE("[Math] sinh/cosh/tanh") { + CHECK(Math::sinh(-0.1) == doctest::Approx(-0.10016675)); + CHECK(Math::sinh(0.1) == doctest::Approx(0.10016675)); + CHECK(Math::sinh(0.5) == doctest::Approx(0.5210953055)); + CHECK(Math::sinh(1.0) == doctest::Approx(1.1752011936)); + CHECK(Math::sinh(1.5) == doctest::Approx(2.1292794551)); + + CHECK(Math::cosh(-0.1) == doctest::Approx(1.0050041681)); + CHECK(Math::cosh(0.1) == doctest::Approx(1.0050041681)); + CHECK(Math::cosh(0.5) == doctest::Approx(1.1276259652)); + CHECK(Math::cosh(1.0) == doctest::Approx(1.5430806348)); + CHECK(Math::cosh(1.5) == doctest::Approx(2.3524096152)); + + CHECK(Math::tanh(-0.1) == doctest::Approx(-0.0996679946)); + CHECK(Math::tanh(0.1) == doctest::Approx(0.0996679946)); + CHECK(Math::tanh(0.5) == doctest::Approx(0.4621171573)); + CHECK(Math::tanh(1.0) == doctest::Approx(0.761594156)); + CHECK(Math::tanh(1.5) == doctest::Approx(0.9051482536)); + CHECK(Math::tanh(450.0) == doctest::Approx(1.0)); +} + +TEST_CASE("[Math] asin/acos/atan") { + CHECK(Math::asin(-0.1) == doctest::Approx(-0.1001674212)); + CHECK(Math::asin(0.1) == doctest::Approx(0.1001674212)); + CHECK(Math::asin(0.5) == doctest::Approx(0.5235987756)); + CHECK(Math::asin(1.0) == doctest::Approx(1.5707963268)); + CHECK(Math::is_nan(Math::asin(1.5))); + CHECK(Math::is_nan(Math::asin(450.0))); + + CHECK(Math::acos(-0.1) == doctest::Approx(1.670963748)); + CHECK(Math::acos(0.1) == doctest::Approx(1.4706289056)); + CHECK(Math::acos(0.5) == doctest::Approx(1.0471975512)); + CHECK(Math::acos(1.0) == doctest::Approx(0.0)); + CHECK(Math::is_nan(Math::acos(1.5))); + CHECK(Math::is_nan(Math::acos(450.0))); + + CHECK(Math::atan(-0.1) == doctest::Approx(-0.0996686525)); + CHECK(Math::atan(0.1) == doctest::Approx(0.0996686525)); + CHECK(Math::atan(0.5) == doctest::Approx(0.463647609)); + CHECK(Math::atan(1.0) == doctest::Approx(0.7853981634)); + CHECK(Math::atan(1.5) == doctest::Approx(0.9827937232)); + CHECK(Math::atan(450.0) == doctest::Approx(1.5685741082)); +} + +TEST_CASE("[Math] sinc/sincn/atan2") { + CHECK(Math::sinc(-0.1) == doctest::Approx(0.9983341665)); + CHECK(Math::sinc(0.1) == doctest::Approx(0.9983341665)); + CHECK(Math::sinc(0.5) == doctest::Approx(0.9588510772)); + CHECK(Math::sinc(1.0) == doctest::Approx(0.8414709848)); + CHECK(Math::sinc(1.5) == doctest::Approx(0.6649966577)); + CHECK(Math::sinc(450.0) == doctest::Approx(-0.0015184083)); + + CHECK(Math::sincn(-0.1) == doctest::Approx(0.9836316431)); + CHECK(Math::sincn(0.1) == doctest::Approx(0.9836316431)); + CHECK(Math::sincn(0.5) == doctest::Approx(0.6366197724)); + CHECK(Math::sincn(1.0) == doctest::Approx(0.0)); + CHECK(Math::sincn(1.5) == doctest::Approx(-0.2122065908)); + CHECK(Math::sincn(450.0) == doctest::Approx(0.0)); + + CHECK(Math::atan2(-0.1, 0.5) == doctest::Approx(-0.1973955598)); + CHECK(Math::atan2(0.1, -0.5) == doctest::Approx(2.9441970937)); + CHECK(Math::atan2(0.5, 1.5) == doctest::Approx(0.3217505544)); + CHECK(Math::atan2(1.0, 2.5) == doctest::Approx(0.3805063771)); + CHECK(Math::atan2(1.5, 1.0) == doctest::Approx(0.9827937232)); + CHECK(Math::atan2(450.0, 1.0) == doctest::Approx(1.5685741082)); +} + +TEST_CASE("[Math] pow/log/log2/exp/sqrt") { + CHECK(Math::pow(-0.1, 2.0) == doctest::Approx(0.01)); + CHECK(Math::pow(0.1, 2.5) == doctest::Approx(0.0031622777)); + CHECK(Math::pow(0.5, 0.5) == doctest::Approx(0.7071067812)); + CHECK(Math::pow(1.0, 1.0) == doctest::Approx(1.0)); + CHECK(Math::pow(1.5, -1.0) == doctest::Approx(0.6666666667)); + CHECK(Math::pow(450.0, -2.0) == doctest::Approx(0.0000049383)); + CHECK(Math::pow(450.0, 0.0) == doctest::Approx(1.0)); + + CHECK(Math::is_nan(Math::log(-0.1))); + CHECK(Math::log(0.1) == doctest::Approx(-2.302585093)); + CHECK(Math::log(0.5) == doctest::Approx(-0.6931471806)); + CHECK(Math::log(1.0) == doctest::Approx(0.0)); + CHECK(Math::log(1.5) == doctest::Approx(0.4054651081)); + CHECK(Math::log(450.0) == doctest::Approx(6.1092475828)); + + CHECK(Math::is_nan(Math::log2(-0.1))); + CHECK(Math::log2(0.1) == doctest::Approx(-3.3219280949)); + CHECK(Math::log2(0.5) == doctest::Approx(-1.0)); + CHECK(Math::log2(1.0) == doctest::Approx(0.0)); + CHECK(Math::log2(1.5) == doctest::Approx(0.5849625007)); + CHECK(Math::log2(450.0) == doctest::Approx(8.8137811912)); + + CHECK(Math::exp(-0.1) == doctest::Approx(0.904837418)); + CHECK(Math::exp(0.1) == doctest::Approx(1.1051709181)); + CHECK(Math::exp(0.5) == doctest::Approx(1.6487212707)); + CHECK(Math::exp(1.0) == doctest::Approx(2.7182818285)); + CHECK(Math::exp(1.5) == doctest::Approx(4.4816890703)); + + CHECK(Math::is_nan(Math::sqrt(-0.1))); + CHECK(Math::sqrt(0.1) == doctest::Approx(0.316228)); + CHECK(Math::sqrt(0.5) == doctest::Approx(0.707107)); + CHECK(Math::sqrt(1.0) == doctest::Approx(1.0)); + CHECK(Math::sqrt(1.5) == doctest::Approx(1.224745)); +} + +TEST_CASE("[Math] is_nan/is_inf") { + CHECK(!Math::is_nan(0.0)); + CHECK(Math::is_nan(NAN)); + + CHECK(!Math::is_inf(0.0)); + CHECK(Math::is_inf(INFINITY)); +} + +TEST_CASE("[Math] linear_to_db") { + CHECK(Math::linear_to_db(1.0) == doctest::Approx(0.0)); + CHECK(Math::linear_to_db(20.0) == doctest::Approx(26.0206)); + CHECK(Math::is_inf(Math::linear_to_db(0.0))); + CHECK(Math::is_nan(Math::linear_to_db(-20.0))); +} + +TEST_CASE("[Math] db_to_linear") { + CHECK(Math::db_to_linear(0.0) == doctest::Approx(1.0)); + CHECK(Math::db_to_linear(1.0) == doctest::Approx(1.122018)); + CHECK(Math::db_to_linear(20.0) == doctest::Approx(10.0)); + CHECK(Math::db_to_linear(-20.0) == doctest::Approx(0.1)); +} + +TEST_CASE("[Math] step_decimals") { + CHECK(Math::step_decimals(-0.5) == 1); + CHECK(Math::step_decimals(0) == 0); + CHECK(Math::step_decimals(1) == 0); + CHECK(Math::step_decimals(0.1) == 1); + CHECK(Math::step_decimals(0.01) == 2); + CHECK(Math::step_decimals(0.001) == 3); + CHECK(Math::step_decimals(0.0001) == 4); + CHECK(Math::step_decimals(0.00001) == 5); + CHECK(Math::step_decimals(0.000001) == 6); + CHECK(Math::step_decimals(0.0000001) == 7); + CHECK(Math::step_decimals(0.00000001) == 8); + CHECK(Math::step_decimals(0.000000001) == 9); + // Too many decimals to handle. + CHECK(Math::step_decimals(0.0000000001) == 0); +} + +TEST_CASE("[Math] range_step_decimals") { + CHECK(Math::range_step_decimals(0.000000001) == 9); + // Too many decimals to handle. + CHECK(Math::range_step_decimals(0.0000000001) == 0); + // Should be treated as a step of 0 for use by the editor. + CHECK(Math::range_step_decimals(0.0) == 16); + CHECK(Math::range_step_decimals(-0.5) == 16); +} + +TEST_CASE("[Math] lerp") { + CHECK(Math::lerp(2.0, 5.0, -0.1) == doctest::Approx(1.7)); + CHECK(Math::lerp(2.0, 5.0, 0.0) == doctest::Approx(2.0)); + CHECK(Math::lerp(2.0, 5.0, 0.1) == doctest::Approx(2.3)); + CHECK(Math::lerp(2.0, 5.0, 1.0) == doctest::Approx(5.0)); + CHECK(Math::lerp(2.0, 5.0, 2.0) == doctest::Approx(8.0)); + + CHECK(Math::lerp(-2.0, -5.0, -0.1) == doctest::Approx(-1.7)); + CHECK(Math::lerp(-2.0, -5.0, 0.0) == doctest::Approx(-2.0)); + CHECK(Math::lerp(-2.0, -5.0, 0.1) == doctest::Approx(-2.3)); + CHECK(Math::lerp(-2.0, -5.0, 1.0) == doctest::Approx(-5.0)); + CHECK(Math::lerp(-2.0, -5.0, 2.0) == doctest::Approx(-8.0)); +} + +TEST_CASE("[Math] inverse_lerp") { + CHECK(Math::inverse_lerp(2.0, 5.0, 1.7) == doctest::Approx(-0.1)); + CHECK(Math::inverse_lerp(2.0, 5.0, 2.0) == doctest::Approx(0.0)); + CHECK(Math::inverse_lerp(2.0, 5.0, 2.3) == doctest::Approx(0.1)); + CHECK(Math::inverse_lerp(2.0, 5.0, 5.0) == doctest::Approx(1.0)); + CHECK(Math::inverse_lerp(2.0, 5.0, 8.0) == doctest::Approx(2.0)); + + CHECK(Math::inverse_lerp(-2.0, -5.0, -1.7) == doctest::Approx(-0.1)); + CHECK(Math::inverse_lerp(-2.0, -5.0, -2.0) == doctest::Approx(0.0)); + CHECK(Math::inverse_lerp(-2.0, -5.0, -2.3) == doctest::Approx(0.1)); + CHECK(Math::inverse_lerp(-2.0, -5.0, -5.0) == doctest::Approx(1.0)); + CHECK(Math::inverse_lerp(-2.0, -5.0, -8.0) == doctest::Approx(2.0)); +} + +TEST_CASE("[Math] remap") { + CHECK(Math::remap(50.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(-500.0)); + CHECK(Math::remap(100.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(0.0)); + CHECK(Math::remap(200.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(1000.0)); + CHECK(Math::remap(250.0, 100.0, 200.0, 0.0, 1000.0) == doctest::Approx(1500.0)); + + CHECK(Math::remap(-50.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(-500.0)); + CHECK(Math::remap(-100.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(0.0)); + CHECK(Math::remap(-200.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(1000.0)); + CHECK(Math::remap(-250.0, -100.0, -200.0, 0.0, 1000.0) == doctest::Approx(1500.0)); + + CHECK(Math::remap(-50.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(500.0)); + CHECK(Math::remap(-100.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(0.0)); + CHECK(Math::remap(-200.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(-1000.0)); + CHECK(Math::remap(-250.0, -100.0, -200.0, 0.0, -1000.0) == doctest::Approx(-1500.0)); +} + +TEST_CASE("[Math] lerp_angle") { + // Counter-clockwise rotation. + CHECK(Math::lerp_angle(0.24 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx(-0.005 * Math_TAU)); + // Counter-clockwise rotation. + CHECK(Math::lerp_angle(0.25 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx(0.0)); + // Clockwise rotation. + CHECK(Math::lerp_angle(0.26 * Math_TAU, 0.75 * Math_TAU, 0.5) == doctest::Approx(0.505 * Math_TAU)); + + CHECK(Math::lerp_angle(-0.25 * Math_TAU, 1.25 * Math_TAU, 0.5) == doctest::Approx(-0.5 * Math_TAU)); + CHECK(Math::lerp_angle(0.72 * Math_TAU, 1.44 * Math_TAU, 0.96) == doctest::Approx(0.4512 * Math_TAU)); + CHECK(Math::lerp_angle(0.72 * Math_TAU, 1.44 * Math_TAU, 1.04) == doctest::Approx(0.4288 * Math_TAU)); + + // Initial and final angles are effectively identical, so the value returned + // should always be the same regardless of the `weight` parameter. + CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, -1.0) == doctest::Approx(-4.0 * Math_TAU)); + CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 0.0) == doctest::Approx(-4.0 * Math_TAU)); + CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 0.5) == doctest::Approx(-4.0 * Math_TAU)); + CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 1.0) == doctest::Approx(-4.0 * Math_TAU)); + CHECK(Math::lerp_angle(-4 * Math_TAU, 4 * Math_TAU, 500.0) == doctest::Approx(-4.0 * Math_TAU)); +} + +TEST_CASE("[Math] move_toward") { + CHECK(Math::move_toward(2.0, 5.0, -1.0) == doctest::Approx(1.0)); + CHECK(Math::move_toward(2.0, 5.0, 2.5) == doctest::Approx(4.5)); + CHECK(Math::move_toward(2.0, 5.0, 4.0) == doctest::Approx(5.0)); + CHECK(Math::move_toward(-2.0, -5.0, -1.0) == doctest::Approx(-1.0)); + CHECK(Math::move_toward(-2.0, -5.0, 2.5) == doctest::Approx(-4.5)); + CHECK(Math::move_toward(-2.0, -5.0, 4.0) == doctest::Approx(-5.0)); +} + +TEST_CASE("[Math] smoothstep") { + CHECK(Math::smoothstep(0.0, 2.0, -5.0) == doctest::Approx(0.0)); + CHECK(Math::smoothstep(0.0, 2.0, 0.5) == doctest::Approx(0.15625)); + CHECK(Math::smoothstep(0.0, 2.0, 1.0) == doctest::Approx(0.5)); + CHECK(Math::smoothstep(0.0, 2.0, 2.0) == doctest::Approx(1.0)); +} + +TEST_CASE("[Math] ease") { + CHECK(Math::ease(0.1, 1.0) == doctest::Approx(0.1)); + CHECK(Math::ease(0.1, 2.0) == doctest::Approx(0.01)); + CHECK(Math::ease(0.1, 0.5) == doctest::Approx(0.19)); + CHECK(Math::ease(0.1, 0.0) == doctest::Approx(0)); + CHECK(Math::ease(0.1, -0.5) == doctest::Approx(0.2236067977)); + CHECK(Math::ease(0.1, -1.0) == doctest::Approx(0.1)); + CHECK(Math::ease(0.1, -2.0) == doctest::Approx(0.02)); + + CHECK(Math::ease(-1.0, 1.0) == doctest::Approx(0)); + CHECK(Math::ease(-1.0, 2.0) == doctest::Approx(0)); + CHECK(Math::ease(-1.0, 0.5) == doctest::Approx(0)); + CHECK(Math::ease(-1.0, 0.0) == doctest::Approx(0)); + CHECK(Math::ease(-1.0, -0.5) == doctest::Approx(0)); + CHECK(Math::ease(-1.0, -1.0) == doctest::Approx(0)); + CHECK(Math::ease(-1.0, -2.0) == doctest::Approx(0)); +} + +TEST_CASE("[Math] snapped") { + CHECK(Math::snapped(0.5, 0.04) == doctest::Approx(0.52)); + CHECK(Math::snapped(-0.5, 0.04) == doctest::Approx(-0.48)); + CHECK(Math::snapped(0.0, 0.04) == doctest::Approx(0)); + CHECK(Math::snapped(128'000.025, 0.04) == doctest::Approx(128'000.04)); + + CHECK(Math::snapped(0.5, 400) == doctest::Approx(0)); + CHECK(Math::snapped(-0.5, 400) == doctest::Approx(0)); + CHECK(Math::snapped(0.0, 400) == doctest::Approx(0)); + CHECK(Math::snapped(128'000.025, 400) == doctest::Approx(128'000.0)); + + CHECK(Math::snapped(0.5, 0.0) == doctest::Approx(0.5)); + CHECK(Math::snapped(-0.5, 0.0) == doctest::Approx(-0.5)); + CHECK(Math::snapped(0.0, 0.0) == doctest::Approx(0.0)); + CHECK(Math::snapped(128'000.025, 0.0) == doctest::Approx(128'000.0)); + + CHECK(Math::snapped(0.5, -1.0) == doctest::Approx(0)); + CHECK(Math::snapped(-0.5, -1.0) == doctest::Approx(-1.0)); + CHECK(Math::snapped(0.0, -1.0) == doctest::Approx(0)); + CHECK(Math::snapped(128'000.025, -1.0) == doctest::Approx(128'000.0)); +} + +TEST_CASE("[Math] larger_prime") { + CHECK(Math::larger_prime(0) == 5); + CHECK(Math::larger_prime(1) == 5); + CHECK(Math::larger_prime(2) == 5); + CHECK(Math::larger_prime(5) == 13); + CHECK(Math::larger_prime(500) == 769); + CHECK(Math::larger_prime(1'000'000) == 1'572'869); + CHECK(Math::larger_prime(1'000'000'000) == 1'610'612'741); + + // The next prime is larger than `INT32_MAX` and is not present in the built-in prime table. + ERR_PRINT_OFF; + CHECK(Math::larger_prime(2'000'000'000) == 0); + ERR_PRINT_ON; +} + +TEST_CASE("[Math] fmod") { + CHECK(Math::fmod(-2.0, 0.3) == doctest::Approx(-0.2)); + CHECK(Math::fmod(0.0, 0.3) == doctest::Approx(0.0)); + CHECK(Math::fmod(2.0, 0.3) == doctest::Approx(0.2)); + + CHECK(Math::fmod(-2.0, -0.3) == doctest::Approx(-0.2)); + CHECK(Math::fmod(0.0, -0.3) == doctest::Approx(0.0)); + CHECK(Math::fmod(2.0, -0.3) == doctest::Approx(0.2)); +} + +TEST_CASE("[Math] fposmod") { + CHECK(Math::fposmod(-2.0, 0.3) == doctest::Approx(0.1)); + CHECK(Math::fposmod(0.0, 0.3) == doctest::Approx(0.0)); + CHECK(Math::fposmod(2.0, 0.3) == doctest::Approx(0.2)); + + CHECK(Math::fposmod(-2.0, -0.3) == doctest::Approx(-0.2)); + CHECK(Math::fposmod(0.0, -0.3) == doctest::Approx(0.0)); + CHECK(Math::fposmod(2.0, -0.3) == doctest::Approx(-0.1)); +} + +TEST_CASE("[Math] fposmodp") { + CHECK(Math::fposmodp(-2.0, 0.3) == doctest::Approx(0.1)); + CHECK(Math::fposmodp(0.0, 0.3) == doctest::Approx(0.0)); + CHECK(Math::fposmodp(2.0, 0.3) == doctest::Approx(0.2)); + + CHECK(Math::fposmodp(-2.0, -0.3) == doctest::Approx(-0.5)); + CHECK(Math::fposmodp(0.0, -0.3) == doctest::Approx(0.0)); + CHECK(Math::fposmodp(2.0, -0.3) == doctest::Approx(0.2)); +} + +TEST_CASE("[Math] posmod") { + CHECK(Math::posmod(-20, 3) == 1); + CHECK(Math::posmod(0, 3) == 0); + CHECK(Math::posmod(20, 3) == 2); + CHECK(Math::posmod(-20, -3) == -2); + CHECK(Math::posmod(0, -3) == 0); + CHECK(Math::posmod(20, -3) == -1); +} + +TEST_CASE("[Math] wrapi") { + CHECK(Math::wrapi(-30, -20, 160) == 150); + CHECK(Math::wrapi(30, -20, 160) == 30); + CHECK(Math::wrapi(300, -20, 160) == 120); + CHECK(Math::wrapi(300'000'000'000, -20, 160) == 120); +} + +TEST_CASE("[Math] wrapf") { + CHECK(Math::wrapf(-30.0, -20.0, 160.0) == doctest::Approx(150.0)); + CHECK(Math::wrapf(30.0, -2.0, 160.0) == doctest::Approx(30.0)); + CHECK(Math::wrapf(300.0, -20.0, 160.0) == doctest::Approx(120.0)); + CHECK(Math::wrapf(300'000'000'000.0, -20.0, 160.0) == doctest::Approx(120.0)); +} + +TEST_CASE("[Math] fract") { + CHECK(Math::fract(1.0) == doctest::Approx(0.0)); + CHECK(Math::fract(77.8) == doctest::Approx(0.8)); + CHECK(Math::fract(-10.1) == doctest::Approx(0.9)); +} + +TEST_CASE("[Math] pingpong") { + CHECK(Math::pingpong(0.0, 0.0) == doctest::Approx(0.0)); + CHECK(Math::pingpong(1.0, 1.0) == doctest::Approx(1.0)); + CHECK(Math::pingpong(0.5, 2.0) == doctest::Approx(0.5)); + CHECK(Math::pingpong(3.5, 2.0) == doctest::Approx(0.5)); + CHECK(Math::pingpong(11.5, 2.0) == doctest::Approx(0.5)); + CHECK(Math::pingpong(-2.5, 2.0) == doctest::Approx(1.5)); +} + +TEST_CASE("[Math] deg_to_rad/rad_to_deg") { + CHECK(Math::deg_to_rad(180.0) == doctest::Approx(Math_PI)); + CHECK(Math::deg_to_rad(-27.0) == doctest::Approx(-0.471239)); + + CHECK(Math::rad_to_deg(Math_PI) == doctest::Approx(180.0)); + CHECK(Math::rad_to_deg(-1.5) == doctest::Approx(-85.94366927)); +} + +TEST_CASE("[Math] cubic_interpolate") { + CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.0) == doctest::Approx(0.2)); + CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.25) == doctest::Approx(0.33125)); + CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.5) == doctest::Approx(0.5)); + CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 0.75) == doctest::Approx(0.66875)); + CHECK(Math::cubic_interpolate(0.2, 0.8, 0.0, 1.0, 1.0) == doctest::Approx(0.8)); + + CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, -50.0) == doctest::Approx(-6662732.3)); + CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, -5.0) == doctest::Approx(-9356.3)); + CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, 0.0) == doctest::Approx(20.2)); + CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, 1.0) == doctest::Approx(30.1)); + CHECK(Math::cubic_interpolate(20.2, 30.1, -100.0, 32.0, 4.0) == doctest::Approx(1853.2)); +} + +TEST_CASE("[Math] cubic_interpolate_angle") { + CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.0) == doctest::Approx(Math_PI * (1.0 / 6.0))); + CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.25) == doctest::Approx(0.973566)); + CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.5) == doctest::Approx(Math_PI / 2.0)); + CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.75) == doctest::Approx(2.16803)); + CHECK(Math::cubic_interpolate_angle(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 1.0) == doctest::Approx(Math_PI * (5.0 / 6.0))); +} + +TEST_CASE("[Math] cubic_interpolate_in_time") { + CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.0, 0.5, 0.0, 1.0) == doctest::Approx(0.0)); + CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.25, 0.5, 0.0, 1.0) == doctest::Approx(0.1625)); + CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.5, 0.5, 0.0, 1.0) == doctest::Approx(0.4)); + CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 0.75, 0.5, 0.0, 1.0) == doctest::Approx(0.6375)); + CHECK(Math::cubic_interpolate_in_time(0.2, 0.8, 0.0, 1.0, 1.0, 0.5, 0.0, 1.0) == doctest::Approx(0.8)); +} + +TEST_CASE("[Math] cubic_interpolate_angle_in_time") { + CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.0, 0.5, 0.0, 1.0) == doctest::Approx(0.0)); + CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.25, 0.5, 0.0, 1.0) == doctest::Approx(0.494964)); + CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.5, 0.5, 0.0, 1.0) == doctest::Approx(1.27627)); + CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 0.75, 0.5, 0.0, 1.0) == doctest::Approx(2.07394)); + CHECK(Math::cubic_interpolate_angle_in_time(Math_PI * (1.0 / 6.0), Math_PI * (5.0 / 6.0), 0.0, Math_PI, 1.0, 0.5, 0.0, 1.0) == doctest::Approx(Math_PI * (5.0 / 6.0))); +} + +TEST_CASE("[Math] bezier_interpolate") { + CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.0) == doctest::Approx(0.0)); + CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.25) == doctest::Approx(0.2125)); + CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.5) == doctest::Approx(0.5)); + CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 0.75) == doctest::Approx(0.7875)); + CHECK(Math::bezier_interpolate(0.0, 0.2, 0.8, 1.0, 1.0) == doctest::Approx(1.0)); +} + +} // namespace TestMath + +#endif // TEST_MATH_FUNCS_H diff --git a/tests/test_main.cpp b/tests/test_main.cpp index 45d6a16cb4..cee110414e 100644 --- a/tests/test_main.cpp +++ b/tests/test_main.cpp @@ -47,6 +47,7 @@ #include "tests/core/math/test_expression.h" #include "tests/core/math/test_geometry_2d.h" #include "tests/core/math/test_geometry_3d.h" +#include "tests/core/math/test_math_funcs.h" #include "tests/core/math/test_plane.h" #include "tests/core/math/test_quaternion.h" #include "tests/core/math/test_random_number_generator.h" -- cgit v1.2.3