source: trunk/src/real.h @ 1024

Last change on this file since 1024 was 1024, checked in by sam, 9 years ago

core: implement frexp(), ldexp() and modf() for reals.

File size: 3.8 KB
Line 
1//
2// Lol Engine
3//
4// Copyright: (c) 2010-2011 Sam Hocevar <sam@hocevar.net>
5//   This program is free software; you can redistribute it and/or
6//   modify it under the terms of the Do What The Fuck You Want To
7//   Public License, Version 2, as published by Sam Hocevar. See
8//   http://sam.zoy.org/projects/COPYING.WTFPL for more details.
9//
10
11//
12// The Real class
13// --------------
14//
15
16#if !defined __LOL_REAL_H__
17#define __LOL_REAL_H__
18
19#include <stdint.h>
20
21namespace lol
22{
23
24class real
25{
26public:
27    inline real() { }
28
29    real(float f);
30    real(double f);
31    real(int i);
32    real(unsigned int i);
33
34    operator float() const;
35    operator double() const;
36    operator int() const;
37    operator unsigned int() const;
38
39    real operator +() const;
40    real operator -() const;
41    real operator +(real const &x) const;
42    real operator -(real const &x) const;
43    real operator *(real const &x) const;
44    real operator /(real const &x) const;
45    real &operator +=(real const &x);
46    real &operator -=(real const &x);
47    real &operator *=(real const &x);
48    real &operator /=(real const &x);
49
50    real operator <<(int x) const;
51    real operator >>(int x) const;
52    real &operator <<=(int x);
53    real &operator >>=(int x);
54
55    bool operator ==(real const &x) const;
56    bool operator !=(real const &x) const;
57    bool operator <(real const &x) const;
58    bool operator >(real const &x) const;
59    bool operator <=(real const &x) const;
60    bool operator >=(real const &x) const;
61
62    bool operator !() const;
63    operator bool() const;
64
65    /* Trigonometric functions */
66    friend real sin(real const &x);
67    friend real cos(real const &x);
68    friend real tan(real const &x);
69    friend real asin(real const &x);
70    friend real acos(real const &x);
71    friend real atan(real const &x);
72    friend real atan2(real const &y, real const &x);
73
74    /* Hyperbolic functions */
75    friend real sinh(real const &x);
76    friend real cosh(real const &x);
77    friend real tanh(real const &x);
78
79    /* Exponential and logarithmic functions */
80    friend real exp(real const &x);
81    friend real exp2(real const &x);
82    friend real log(real const &x);
83    friend real log2(real const &x);
84    friend real log10(real const &x);
85    friend real frexp(real const &x, int *exp);
86    friend real ldexp(real const &x, int exp);
87    friend real modf(real const &x, real *iptr);
88
89    /* Power functions */
90    friend real re(real const &x);
91    friend real sqrt(real const &x);
92    friend real cbrt(real const &x);
93    friend real pow(real const &x, real const &y);
94
95    /* Rounding, absolute value, remainder etc. */
96    friend real ceil(real const &x);
97    friend real copysign(real const &x, real const &y);
98    friend real floor(real const &x);
99    friend real fabs(real const &x);
100    friend real round(real const &x);
101    friend real fmod(real const &x, real const &y);
102
103    void hexprint() const;
104    void print(int ndigits = 150) const;
105
106    static real const R_0;
107    static real const R_1;
108    static real const R_2;
109    static real const R_3;
110    static real const R_10;
111
112    static real const R_E;
113    static real const R_LOG2E;
114    static real const R_LOG10E;
115    static real const R_LN2;
116    static real const R_LN10;
117    static real const R_PI;
118    static real const R_PI_2;
119    static real const R_PI_3;
120    static real const R_PI_4;
121    static real const R_1_PI;
122    static real const R_2_PI;
123    static real const R_2_SQRTPI;
124    static real const R_SQRT2;
125    static real const R_SQRT3;
126    static real const R_SQRT1_2;
127
128    /* XXX: changing this requires tuning real::fres (the number of
129     * Newton-Raphson iterations) and real::print (the number of printed
130     * digits) */
131    static int const BIGITS = 16;
132    static int const BIGIT_BITS = 32;
133
134private:
135    uint32_t m_size;
136    uint32_t m_signexp;
137    uint32_t m_mantissa[BIGITS];
138};
139
140} /* namespace lol */
141
142#endif // __LOL_REAL_H__
143
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