summaryrefslogtreecommitdiff
path: root/core/math/math_funcs.h
blob: 62890b0371229cce0707aa297e18ba74ff061841 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
/*************************************************************************/
/*  math_funcs.h                                                         */
/*************************************************************************/
/*                       This file is part of:                           */
/*                           GODOT ENGINE                                */
/*                    http://www.godotengine.org                         */
/*************************************************************************/
/* Copyright (c) 2007-2016 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 "typedefs.h"
#include "math_defs.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 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