/*************************************************************************/ /* math_funcs.h */ /*************************************************************************/ /* This file is part of: */ /* GODOT ENGINE */ /* http://www.godotengine.org */ /*************************************************************************/ /* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */ /* */ /* 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 MATH_FUNCS_H #define MATH_FUNCS_H #include "math_defs.h" #include "typedefs.h" #ifndef NO_MATH_H #include "math.h" #endif class Math { static uint32_t default_seed; public: Math(){}; // useless to instance enum { RANDOM_MAX = 2147483647L }; static double sin(double p_x); static double cos(double p_x); static double tan(double p_x); static double sinh(double p_x); static double cosh(double p_x); static double tanh(double p_x); static double asin(double p_x); static double acos(double p_x); static double atan(double p_x); static double atan2(double p_y, double p_x); static double deg2rad(double p_y); static double rad2deg(double p_y); static double sqrt(double p_x); static double fmod(double p_x, double p_y); static double fposmod(double p_x, double p_y); static uint32_t rand_from_seed(uint32_t *seed); static double floor(double p_x); static double ceil(double p_x); static double ease(double p_x, double p_c); static int step_decimals(double p_step); static double stepify(double p_value, double p_step); static void seed(uint32_t x = 0); static void randomize(); static uint32_t larger_prime(uint32_t p_val); static double dectime(double p_value, double p_amount, double p_step); static inline double linear2db(double p_linear) { return Math::log(p_linear) * 8.6858896380650365530225783783321; } static inline double db2linear(double p_db) { return Math::exp(p_db * 0.11512925464970228420089957273422); } static bool is_nan(double p_val); static bool is_inf(double p_val); static uint32_t rand(); static double randf(); static double round(double p_val); static double random(double from, double to); static _FORCE_INLINE_ real_t abs(real_t g) { #ifdef REAL_T_IS_DOUBLE return absd(g); #else return absf(g); #endif } static _FORCE_INLINE_ float absf(float g) { union { float f; uint32_t i; } u; u.f = g; u.i &= 2147483647u; return u.f; } static _FORCE_INLINE_ double absd(double g) { union { double d; uint64_t i; } u; u.d = g; u.i &= (uint64_t)9223372036854775807ll; return u.d; } //this function should be as fast as possible and rounding mode should not matter static _FORCE_INLINE_ int fast_ftoi(float a) { static int b; #if (defined(_WIN32_WINNT) && _WIN32_WINNT >= 0x0603) || WINAPI_FAMILY == WINAPI_FAMILY_PHONE_APP // windows 8 phone? b = (int)((a > 0.0f) ? (a + 0.5f) : (a - 0.5f)); #elif defined(_MSC_VER) && _MSC_VER < 1800 __asm fld a __asm fistp b /*#elif defined( __GNUC__ ) && ( defined( __i386__ ) || defined( __x86_64__ ) ) // use AT&T inline assembly style, document that // we use memory as output (=m) and input (m) __asm__ __volatile__ ( "flds %1 \n\t" "fistpl %0 \n\t" : "=m" (b) : "m" (a));*/ #else b = lrintf(a); //assuming everything but msvc 2012 or earlier has lrint #endif return b; } #if defined(__GNUC__) static _FORCE_INLINE_ int64_t dtoll(double p_double) { return (int64_t)p_double; } ///@TODO OPTIMIZE #else static _FORCE_INLINE_ int64_t dtoll(double p_double) { return (int64_t)p_double; } ///@TODO OPTIMIZE #endif static _FORCE_INLINE_ float lerp(float a, float b, float c) { return a + (b - a) * c; } static double pow(double x, double y); static double log(double x); static double exp(double x); }; #define Math_PI 3.14159265358979323846 #define Math_SQRT12 0.7071067811865475244008443621048490 #endif // MATH_FUNCS_H