1 /*
2 * Copyright 2009 Red Hat Inc.
3 *
4 * Permission is hereby granted, free of charge, to any person obtaining a
5 * copy of this software and associated documentation files (the "Software"),
6 * to deal in the Software without restriction, including without limitation
7 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
8 * and/or sell copies of the Software, and to permit persons to whom the
9 * Software is furnished to do so, subject to the following conditions:
10 *
11 * The above copyright notice and this permission notice shall be included in
12 * all copies or substantial portions of the Software.
13 *
14 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
15 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
16 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
17 * THE COPYRIGHT HOLDER(S) OR AUTHOR(S) BE LIABLE FOR ANY CLAIM, DAMAGES OR
18 * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,
19 * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
20 * OTHER DEALINGS IN THE SOFTWARE.
21 *
22 * Authors: Dave Airlie
23 * Christian König
24 */
25 #ifndef DRM_FIXED_H
26 #define DRM_FIXED_H
27
28 #include <linux/kernel.h>
29 #include <linux/math64.h>
30
31 typedef union dfixed {
32 u32 full;
33 } fixed20_12;
34
35
36 #define dfixed_const(A) (u32)(((A) << 12))/* + ((B + 0.000122)*4096)) */
37 #define dfixed_const_half(A) (u32)(((A) << 12) + 2048)
38 #define dfixed_const_666(A) (u32)(((A) << 12) + 2731)
39 #define dfixed_const_8(A) (u32)(((A) << 12) + 3277)
40 #define dfixed_mul(A, B) ((u64)((u64)(A).full * (B).full + 2048) >> 12)
41 #define dfixed_init(A) { .full = dfixed_const((A)) }
42 #define dfixed_init_half(A) { .full = dfixed_const_half((A)) }
43 #define dfixed_trunc(A) ((A).full >> 12)
44 #define dfixed_frac(A) ((A).full & ((1 << 12) - 1))
45
dfixed_floor(fixed20_12 A)46 static inline u32 dfixed_floor(fixed20_12 A)
47 {
48 u32 non_frac = dfixed_trunc(A);
49
50 return dfixed_const(non_frac);
51 }
52
dfixed_ceil(fixed20_12 A)53 static inline u32 dfixed_ceil(fixed20_12 A)
54 {
55 u32 non_frac = dfixed_trunc(A);
56
57 if (A.full > dfixed_const(non_frac))
58 return dfixed_const(non_frac + 1);
59 else
60 return dfixed_const(non_frac);
61 }
62
dfixed_div(fixed20_12 A,fixed20_12 B)63 static inline u32 dfixed_div(fixed20_12 A, fixed20_12 B)
64 {
65 u64 tmp = ((u64)A.full << 13);
66
67 do_div(tmp, B.full);
68 tmp += 1;
69 tmp /= 2;
70 return lower_32_bits(tmp);
71 }
72
73 #define DRM_FIXED_POINT 32
74 #define DRM_FIXED_ONE (1ULL << DRM_FIXED_POINT)
75 #define DRM_FIXED_DECIMAL_MASK (DRM_FIXED_ONE - 1)
76 #define DRM_FIXED_DIGITS_MASK (~DRM_FIXED_DECIMAL_MASK)
77 #define DRM_FIXED_EPSILON 1LL
78 #define DRM_FIXED_ALMOST_ONE (DRM_FIXED_ONE - DRM_FIXED_EPSILON)
79
drm_int2fixp(int a)80 static inline s64 drm_int2fixp(int a)
81 {
82 return ((s64)a) << DRM_FIXED_POINT;
83 }
84
drm_fixp2int(s64 a)85 static inline int drm_fixp2int(s64 a)
86 {
87 return ((s64)a) >> DRM_FIXED_POINT;
88 }
89
drm_fixp2int_ceil(s64 a)90 static inline int drm_fixp2int_ceil(s64 a)
91 {
92 if (a > 0)
93 return drm_fixp2int(a + DRM_FIXED_ALMOST_ONE);
94 else
95 return drm_fixp2int(a - DRM_FIXED_ALMOST_ONE);
96 }
97
drm_fixp_msbset(s64 a)98 static inline unsigned drm_fixp_msbset(s64 a)
99 {
100 unsigned shift, sign = (a >> 63) & 1;
101
102 for (shift = 62; shift > 0; --shift)
103 if (((a >> shift) & 1) != sign)
104 return shift;
105
106 return 0;
107 }
108
drm_fixp_mul(s64 a,s64 b)109 static inline s64 drm_fixp_mul(s64 a, s64 b)
110 {
111 unsigned shift = drm_fixp_msbset(a) + drm_fixp_msbset(b);
112 s64 result;
113
114 if (shift > 61) {
115 shift = shift - 61;
116 a >>= (shift >> 1) + (shift & 1);
117 b >>= shift >> 1;
118 } else
119 shift = 0;
120
121 result = a * b;
122
123 if (shift > DRM_FIXED_POINT)
124 return result << (shift - DRM_FIXED_POINT);
125
126 if (shift < DRM_FIXED_POINT)
127 return result >> (DRM_FIXED_POINT - shift);
128
129 return result;
130 }
131
drm_fixp_div(s64 a,s64 b)132 static inline s64 drm_fixp_div(s64 a, s64 b)
133 {
134 unsigned shift = 62 - drm_fixp_msbset(a);
135 s64 result;
136
137 a <<= shift;
138
139 if (shift < DRM_FIXED_POINT)
140 b >>= (DRM_FIXED_POINT - shift);
141
142 result = div64_s64(a, b);
143
144 if (shift > DRM_FIXED_POINT)
145 return result >> (shift - DRM_FIXED_POINT);
146
147 return result;
148 }
149
drm_fixp_from_fraction(s64 a,s64 b)150 static inline s64 drm_fixp_from_fraction(s64 a, s64 b)
151 {
152 s64 res;
153 bool a_neg = a < 0;
154 bool b_neg = b < 0;
155 u64 a_abs = a_neg ? -a : a;
156 u64 b_abs = b_neg ? -b : b;
157 u64 rem;
158
159 /* determine integer part */
160 u64 res_abs = div64_u64_rem(a_abs, b_abs, &rem);
161
162 /* determine fractional part */
163 {
164 u32 i = DRM_FIXED_POINT;
165
166 do {
167 rem <<= 1;
168 res_abs <<= 1;
169 if (rem >= b_abs) {
170 res_abs |= 1;
171 rem -= b_abs;
172 }
173 } while (--i != 0);
174 }
175
176 /* round up LSB */
177 {
178 u64 summand = (rem << 1) >= b_abs;
179
180 res_abs += summand;
181 }
182
183 res = (s64) res_abs;
184 if (a_neg ^ b_neg)
185 res = -res;
186 return res;
187 }
188
drm_fixp_exp(s64 x)189 static inline s64 drm_fixp_exp(s64 x)
190 {
191 s64 tolerance = div64_s64(DRM_FIXED_ONE, 1000000);
192 s64 sum = DRM_FIXED_ONE, term, y = x;
193 u64 count = 1;
194
195 if (x < 0)
196 y = -1 * x;
197
198 term = y;
199
200 while (term >= tolerance) {
201 sum = sum + term;
202 count = count + 1;
203 term = drm_fixp_mul(term, div64_s64(y, count));
204 }
205
206 if (x < 0)
207 sum = drm_fixp_div(DRM_FIXED_ONE, sum);
208
209 return sum;
210 }
211
212 #endif
213