fixp-arith.h (4290B)
1/* SPDX-License-Identifier: GPL-2.0-or-later */ 2#ifndef _FIXP_ARITH_H 3#define _FIXP_ARITH_H 4 5#include <linux/math64.h> 6 7/* 8 * Simplistic fixed-point arithmetics. 9 * Hmm, I'm probably duplicating some code :( 10 * 11 * Copyright (c) 2002 Johann Deneux 12 */ 13 14/* 15 * 16 * Should you need to contact me, the author, you can do so by 17 * e-mail - mail your message to <johann.deneux@gmail.com> 18 */ 19 20#include <linux/types.h> 21 22static const s32 sin_table[] = { 23 0x00000000, 0x023be165, 0x04779632, 0x06b2f1d2, 0x08edc7b6, 0x0b27eb5c, 24 0x0d61304d, 0x0f996a26, 0x11d06c96, 0x14060b67, 0x163a1a7d, 0x186c6ddd, 25 0x1a9cd9ac, 0x1ccb3236, 0x1ef74bf2, 0x2120fb82, 0x234815ba, 0x256c6f9e, 26 0x278dde6e, 0x29ac379f, 0x2bc750e8, 0x2ddf003f, 0x2ff31bdd, 0x32037a44, 27 0x340ff241, 0x36185aee, 0x381c8bb5, 0x3a1c5c56, 0x3c17a4e7, 0x3e0e3ddb, 28 0x3fffffff, 0x41ecc483, 0x43d464fa, 0x45b6bb5d, 0x4793a20f, 0x496af3e1, 29 0x4b3c8c11, 0x4d084650, 0x4ecdfec6, 0x508d9210, 0x5246dd48, 0x53f9be04, 30 0x55a6125a, 0x574bb8e5, 0x58ea90c2, 0x5a827999, 0x5c135399, 0x5d9cff82, 31 0x5f1f5ea0, 0x609a52d1, 0x620dbe8a, 0x637984d3, 0x64dd894f, 0x6639b039, 32 0x678dde6d, 0x68d9f963, 0x6a1de735, 0x6b598ea1, 0x6c8cd70a, 0x6db7a879, 33 0x6ed9eba0, 0x6ff389de, 0x71046d3c, 0x720c8074, 0x730baeec, 0x7401e4bf, 34 0x74ef0ebb, 0x75d31a5f, 0x76adf5e5, 0x777f903b, 0x7847d908, 0x7906c0af, 35 0x79bc384c, 0x7a6831b8, 0x7b0a9f8c, 0x7ba3751c, 0x7c32a67c, 0x7cb82884, 36 0x7d33f0c8, 0x7da5f5a3, 0x7e0e2e31, 0x7e6c924f, 0x7ec11aa3, 0x7f0bc095, 37 0x7f4c7e52, 0x7f834ecf, 0x7fb02dc4, 0x7fd317b3, 0x7fec09e1, 0x7ffb025e, 38 0x7fffffff 39}; 40 41/** 42 * __fixp_sin32() returns the sin of an angle in degrees 43 * 44 * @degrees: angle, in degrees, from 0 to 360. 45 * 46 * The returned value ranges from -0x7fffffff to +0x7fffffff. 47 */ 48static inline s32 __fixp_sin32(int degrees) 49{ 50 s32 ret; 51 bool negative = false; 52 53 if (degrees > 180) { 54 negative = true; 55 degrees -= 180; 56 } 57 if (degrees > 90) 58 degrees = 180 - degrees; 59 60 ret = sin_table[degrees]; 61 62 return negative ? -ret : ret; 63} 64 65/** 66 * fixp_sin32() returns the sin of an angle in degrees 67 * 68 * @degrees: angle, in degrees. The angle can be positive or negative 69 * 70 * The returned value ranges from -0x7fffffff to +0x7fffffff. 71 */ 72static inline s32 fixp_sin32(int degrees) 73{ 74 degrees = (degrees % 360 + 360) % 360; 75 76 return __fixp_sin32(degrees); 77} 78 79/* cos(x) = sin(x + 90 degrees) */ 80#define fixp_cos32(v) fixp_sin32((v) + 90) 81 82/* 83 * 16 bits variants 84 * 85 * The returned value ranges from -0x7fff to 0x7fff 86 */ 87 88#define fixp_sin16(v) (fixp_sin32(v) >> 16) 89#define fixp_cos16(v) (fixp_cos32(v) >> 16) 90 91/** 92 * fixp_sin32_rad() - calculates the sin of an angle in radians 93 * 94 * @radians: angle, in radians 95 * @twopi: value to be used for 2*pi 96 * 97 * Provides a variant for the cases where just 360 98 * values is not enough. This function uses linear 99 * interpolation to a wider range of values given by 100 * twopi var. 101 * 102 * Experimental tests gave a maximum difference of 103 * 0.000038 between the value calculated by sin() and 104 * the one produced by this function, when twopi is 105 * equal to 360000. That seems to be enough precision 106 * for practical purposes. 107 * 108 * Please notice that two high numbers for twopi could cause 109 * overflows, so the routine will not allow values of twopi 110 * bigger than 1^18. 111 */ 112static inline s32 fixp_sin32_rad(u32 radians, u32 twopi) 113{ 114 int degrees; 115 s32 v1, v2, dx, dy; 116 s64 tmp; 117 118 /* 119 * Avoid too large values for twopi, as we don't want overflows. 120 */ 121 BUG_ON(twopi > 1 << 18); 122 123 degrees = (radians * 360) / twopi; 124 tmp = radians - (degrees * twopi) / 360; 125 126 degrees = (degrees % 360 + 360) % 360; 127 v1 = __fixp_sin32(degrees); 128 129 v2 = fixp_sin32(degrees + 1); 130 131 dx = twopi / 360; 132 dy = v2 - v1; 133 134 tmp *= dy; 135 136 return v1 + div_s64(tmp, dx); 137} 138 139/* cos(x) = sin(x + pi/2 radians) */ 140 141#define fixp_cos32_rad(rad, twopi) \ 142 fixp_sin32_rad(rad + twopi / 4, twopi) 143 144/** 145 * fixp_linear_interpolate() - interpolates a value from two known points 146 * 147 * @x0: x value of point 0 148 * @y0: y value of point 0 149 * @x1: x value of point 1 150 * @y1: y value of point 1 151 * @x: the linear interpolant 152 */ 153static inline int fixp_linear_interpolate(int x0, int y0, int x1, int y1, int x) 154{ 155 if (y0 == y1 || x == x0) 156 return y0; 157 if (x1 == x0 || x == x1) 158 return y1; 159 160 return y0 + ((y1 - y0) * (x - x0) / (x1 - x0)); 161} 162 163#endif