/*************************************************************************/ /* math_funcs.cpp */ /*************************************************************************/ /* This file is part of: */ /* GODOT ENGINE */ /* https://godotengine.org */ /*************************************************************************/ /* Copyright (c) 2007-2021 Juan Linietsky, Ariel Manzur. */ /* Copyright (c) 2014-2021 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. */ /*************************************************************************/ #include "math_funcs.h" #include "core/error_macros.h" RandomPCG Math::default_rand(RandomPCG::DEFAULT_SEED, RandomPCG::DEFAULT_INC); #define PHI 0x9e3779b9 uint32_t Math::rand_from_seed(uint64_t *seed) { RandomPCG rng = RandomPCG(*seed, RandomPCG::DEFAULT_INC); uint32_t r = rng.rand(); *seed = rng.get_seed(); return r; } void Math::seed(uint64_t x) { default_rand.seed(x); } void Math::randomize() { default_rand.randomize(); } uint32_t Math::rand() { return default_rand.rand(); } int Math::step_decimals(double p_step) { static const int maxn = 10; static const double sd[maxn] = { 0.9999, // somehow compensate for floating point error 0.09999, 0.009999, 0.0009999, 0.00009999, 0.000009999, 0.0000009999, 0.00000009999, 0.000000009999, 0.0000000009999 }; double abs = Math::abs(p_step); double decs = abs - (int)abs; // Strip away integer part for (int i = 0; i < maxn; i++) { if (decs >= sd[i]) { return i; } } return 0; } // Only meant for editor usage in float ranges, where a step of 0 // means that decimal digits should not be limited in String::num. int Math::range_step_decimals(double p_step) { if (p_step < 0.0000000000001) { return 16; // Max value hardcoded in String::num } return step_decimals(p_step); } double Math::dectime(double p_value, double p_amount, double p_step) { double sgn = p_value < 0 ? -1.0 : 1.0; double val = Math::abs(p_value); val -= p_amount * p_step; if (val < 0.0) val = 0.0; return val * sgn; } double Math::ease(double p_x, double p_c) { if (p_x < 0) p_x = 0; else if (p_x > 1.0) p_x = 1.0; if (p_c > 0) { if (p_c < 1.0) { return 1.0 - Math::pow(1.0 - p_x, 1.0 / p_c); } else { return Math::pow(p_x, p_c); } } else if (p_c < 0) { //inout ease if (p_x < 0.5) { return Math::pow(p_x * 2.0, -p_c) * 0.5; } else { return (1.0 - Math::pow(1.0 - (p_x - 0.5) * 2.0, -p_c)) * 0.5 + 0.5; } } else return 0; // no ease (raw) } double Math::stepify(double p_value, double p_step) { if (p_step != 0) { p_value = Math::floor(p_value / p_step + 0.5) * p_step; } return p_value; } uint32_t Math::larger_prime(uint32_t p_val) { static const uint32_t primes[] = { 5, 13, 23, 47, 97, 193, 389, 769, 1543, 3079, 6151, 12289, 24593, 49157, 98317, 196613, 393241, 786433, 1572869, 3145739, 6291469, 12582917, 25165843, 50331653, 100663319, 201326611, 402653189, 805306457, 1610612741, 0, }; int idx = 0; while (true) { ERR_FAIL_COND_V(primes[idx] == 0, 0); if (primes[idx] > p_val) return primes[idx]; idx++; } } double Math::random(double from, double to) { return default_rand.random(from, to); } float Math::random(float from, float to) { return default_rand.random(from, to); }