xref: /netbsd/sys/sys/bitops.h (revision db9b2788)
1 /*	$NetBSD: bitops.h,v 1.15 2021/09/12 15:22:05 rillig Exp $	*/
2 
3 /*-
4  * Copyright (c) 2007, 2010 The NetBSD Foundation, Inc.
5  * All rights reserved.
6  *
7  * This code is derived from software contributed to The NetBSD Foundation
8  * by Christos Zoulas and Joerg Sonnenberger.
9  *
10  * Redistribution and use in source and binary forms, with or without
11  * modification, are permitted provided that the following conditions
12  * are met:
13  * 1. Redistributions of source code must retain the above copyright
14  *    notice, this list of conditions and the following disclaimer.
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in the
17  *    documentation and/or other materials provided with the distribution.
18  *
19  * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
20  * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
21  * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
22  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
23  * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
24  * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
25  * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
26  * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
27  * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
28  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
29  * POSSIBILITY OF SUCH DAMAGE.
30  */
31 #ifndef _SYS_BITOPS_H_
32 #define _SYS_BITOPS_H_
33 
34 #include <sys/stdint.h>
35 
36 /*
37  * Find First Set functions
38  */
39 #ifndef ffs32
40 static __inline int __unused
ffs32(uint32_t _n)41 ffs32(uint32_t _n)
42 {
43 	int _v;
44 
45 	if (!_n)
46 		return 0;
47 
48 	_v = 1;
49 	if ((_n & 0x0000FFFFU) == 0) {
50 		_n >>= 16;
51 		_v += 16;
52 	}
53 	if ((_n & 0x000000FFU) == 0) {
54 		_n >>= 8;
55 		_v += 8;
56 	}
57 	if ((_n & 0x0000000FU) == 0) {
58 		_n >>= 4;
59 		_v += 4;
60 	}
61 	if ((_n & 0x00000003U) == 0) {
62 		_n >>= 2;
63 		_v += 2;
64 	}
65 	if ((_n & 0x00000001U) == 0) {
66 		_n >>= 1;
67 		_v += 1;
68 	}
69 	return _v;
70 }
71 #endif
72 
73 #ifndef ffs64
74 static __inline int __unused
ffs64(uint64_t _n)75 ffs64(uint64_t _n)
76 {
77 	int _v;
78 
79 	if (!_n)
80 		return 0;
81 
82 	_v = 1;
83 	if ((_n & 0x00000000FFFFFFFFULL) == 0) {
84 		_n >>= 32;
85 		_v += 32;
86 	}
87 	if ((_n & 0x000000000000FFFFULL) == 0) {
88 		_n >>= 16;
89 		_v += 16;
90 	}
91 	if ((_n & 0x00000000000000FFULL) == 0) {
92 		_n >>= 8;
93 		_v += 8;
94 	}
95 	if ((_n & 0x000000000000000FULL) == 0) {
96 		_n >>= 4;
97 		_v += 4;
98 	}
99 	if ((_n & 0x0000000000000003ULL) == 0) {
100 		_n >>= 2;
101 		_v += 2;
102 	}
103 	if ((_n & 0x0000000000000001ULL) == 0) {
104 		_n >>= 1;
105 		_v += 1;
106 	}
107 	return _v;
108 }
109 #endif
110 
111 /*
112  * Find Last Set functions
113  */
114 #ifndef fls32
115 static __inline int __unused
fls32(uint32_t _n)116 fls32(uint32_t _n)
117 {
118 	int _v;
119 
120 	if (!_n)
121 		return 0;
122 
123 	_v = 32;
124 	if ((_n & 0xFFFF0000U) == 0) {
125 		_n <<= 16;
126 		_v -= 16;
127 	}
128 	if ((_n & 0xFF000000U) == 0) {
129 		_n <<= 8;
130 		_v -= 8;
131 	}
132 	if ((_n & 0xF0000000U) == 0) {
133 		_n <<= 4;
134 		_v -= 4;
135 	}
136 	if ((_n & 0xC0000000U) == 0) {
137 		_n <<= 2;
138 		_v -= 2;
139 	}
140 	if ((_n & 0x80000000U) == 0) {
141 		_n <<= 1;
142 		_v -= 1;
143 	}
144 	return _v;
145 }
146 #endif
147 
148 #ifndef fls64
149 static __inline int __unused
fls64(uint64_t _n)150 fls64(uint64_t _n)
151 {
152 	int _v;
153 
154 	if (!_n)
155 		return 0;
156 
157 	_v = 64;
158 	if ((_n & 0xFFFFFFFF00000000ULL) == 0) {
159 		_n <<= 32;
160 		_v -= 32;
161 	}
162 	if ((_n & 0xFFFF000000000000ULL) == 0) {
163 		_n <<= 16;
164 		_v -= 16;
165 	}
166 	if ((_n & 0xFF00000000000000ULL) == 0) {
167 		_n <<= 8;
168 		_v -= 8;
169 	}
170 	if ((_n & 0xF000000000000000ULL) == 0) {
171 		_n <<= 4;
172 		_v -= 4;
173 	}
174 	if ((_n & 0xC000000000000000ULL) == 0) {
175 		_n <<= 2;
176 		_v -= 2;
177 	}
178 	if ((_n & 0x8000000000000000ULL) == 0) {
179 		_n <<= 1;
180 		_v -= 1;
181 	}
182 	return _v;
183 }
184 #endif
185 
186 /*
187  * Integer logarithm, returns -1 on error. Inspired by the linux
188  * version written by David Howells.
189  */
190 #define _ilog2_helper(_n, _x)	((_n) & (1ULL << (_x))) ? _x :
191 #define _ilog2_const(_n) ( \
192 	_ilog2_helper(_n, 63) \
193 	_ilog2_helper(_n, 62) \
194 	_ilog2_helper(_n, 61) \
195 	_ilog2_helper(_n, 60) \
196 	_ilog2_helper(_n, 59) \
197 	_ilog2_helper(_n, 58) \
198 	_ilog2_helper(_n, 57) \
199 	_ilog2_helper(_n, 56) \
200 	_ilog2_helper(_n, 55) \
201 	_ilog2_helper(_n, 54) \
202 	_ilog2_helper(_n, 53) \
203 	_ilog2_helper(_n, 52) \
204 	_ilog2_helper(_n, 51) \
205 	_ilog2_helper(_n, 50) \
206 	_ilog2_helper(_n, 49) \
207 	_ilog2_helper(_n, 48) \
208 	_ilog2_helper(_n, 47) \
209 	_ilog2_helper(_n, 46) \
210 	_ilog2_helper(_n, 45) \
211 	_ilog2_helper(_n, 44) \
212 	_ilog2_helper(_n, 43) \
213 	_ilog2_helper(_n, 42) \
214 	_ilog2_helper(_n, 41) \
215 	_ilog2_helper(_n, 40) \
216 	_ilog2_helper(_n, 39) \
217 	_ilog2_helper(_n, 38) \
218 	_ilog2_helper(_n, 37) \
219 	_ilog2_helper(_n, 36) \
220 	_ilog2_helper(_n, 35) \
221 	_ilog2_helper(_n, 34) \
222 	_ilog2_helper(_n, 33) \
223 	_ilog2_helper(_n, 32) \
224 	_ilog2_helper(_n, 31) \
225 	_ilog2_helper(_n, 30) \
226 	_ilog2_helper(_n, 29) \
227 	_ilog2_helper(_n, 28) \
228 	_ilog2_helper(_n, 27) \
229 	_ilog2_helper(_n, 26) \
230 	_ilog2_helper(_n, 25) \
231 	_ilog2_helper(_n, 24) \
232 	_ilog2_helper(_n, 23) \
233 	_ilog2_helper(_n, 22) \
234 	_ilog2_helper(_n, 21) \
235 	_ilog2_helper(_n, 20) \
236 	_ilog2_helper(_n, 19) \
237 	_ilog2_helper(_n, 18) \
238 	_ilog2_helper(_n, 17) \
239 	_ilog2_helper(_n, 16) \
240 	_ilog2_helper(_n, 15) \
241 	_ilog2_helper(_n, 14) \
242 	_ilog2_helper(_n, 13) \
243 	_ilog2_helper(_n, 12) \
244 	_ilog2_helper(_n, 11) \
245 	_ilog2_helper(_n, 10) \
246 	_ilog2_helper(_n,  9) \
247 	_ilog2_helper(_n,  8) \
248 	_ilog2_helper(_n,  7) \
249 	_ilog2_helper(_n,  6) \
250 	_ilog2_helper(_n,  5) \
251 	_ilog2_helper(_n,  4) \
252 	_ilog2_helper(_n,  3) \
253 	_ilog2_helper(_n,  2) \
254 	_ilog2_helper(_n,  1) \
255 	_ilog2_helper(_n,  0) \
256 	-1)
257 
258 #define ilog2(_n) \
259 ( \
260 	__builtin_constant_p(_n) ?  _ilog2_const(_n) : \
261 	((sizeof(_n) > 4 ? fls64(_n) : fls32(_n)) - 1) \
262 )
263 
264 static __inline void
fast_divide32_prepare(uint32_t _div,uint32_t * __restrict _m,uint8_t * __restrict _s1,uint8_t * __restrict _s2)265 fast_divide32_prepare(uint32_t _div, uint32_t * __restrict _m,
266     uint8_t *__restrict _s1, uint8_t *__restrict _s2)
267 {
268 	uint64_t _mt;
269 	int _l;
270 
271 	_l = fls32(_div - 1);
272 	_mt = (uint64_t)(0x100000000ULL * ((1ULL << _l) - _div));
273 	*_m = (uint32_t)(_mt / _div + 1);
274 	*_s1 = (_l > 1) ? 1U : (uint8_t)_l;
275 	*_s2 = (_l == 0) ? 0 : (uint8_t)(_l - 1);
276 }
277 
278 /* ARGSUSED */
279 static __inline uint32_t
fast_divide32(uint32_t _v,uint32_t _div __unused,uint32_t _m,uint8_t _s1,uint8_t _s2)280 fast_divide32(uint32_t _v, uint32_t _div __unused, uint32_t _m, uint8_t _s1,
281     uint8_t _s2)
282 {
283 	uint32_t _t;
284 
285 	_t = (uint32_t)(((uint64_t)_v * _m) >> 32);
286 	return (_t + ((_v - _t) >> _s1)) >> _s2;
287 }
288 
289 static __inline uint32_t
fast_remainder32(uint32_t _v,uint32_t _div,uint32_t _m,uint8_t _s1,uint8_t _s2)290 fast_remainder32(uint32_t _v, uint32_t _div, uint32_t _m, uint8_t _s1,
291     uint8_t _s2)
292 {
293 
294 	return _v - _div * fast_divide32(_v, _div, _m, _s1, _s2);
295 }
296 
297 #define __BITMAP_TYPE(__s, __t, __n) struct __s { \
298     __t _b[__BITMAP_SIZE(__t, __n)]; \
299 }
300 
301 #define __BITMAP_BITS(__t)		(sizeof(__t) * NBBY)
302 #define __BITMAP_SHIFT(__t)		(ilog2(__BITMAP_BITS(__t)))
303 #define __BITMAP_MASK(__t)		(__BITMAP_BITS(__t) - 1)
304 #define __BITMAP_SIZE(__t, __n) \
305     (((__n) + (__BITMAP_BITS(__t) - 1)) / __BITMAP_BITS(__t))
306 #define __BITMAP_BIT(__n, __v) \
307     ((__typeof__((__v)->_b[0]))1 << ((__n) & __BITMAP_MASK(*(__v)->_b)))
308 #define __BITMAP_WORD(__n, __v) \
309     ((__n) >> __BITMAP_SHIFT(*(__v)->_b))
310 
311 #define __BITMAP_SET(__n, __v) \
312     ((__v)->_b[__BITMAP_WORD(__n, __v)] |= __BITMAP_BIT(__n, __v))
313 #define __BITMAP_CLR(__n, __v) \
314     ((__v)->_b[__BITMAP_WORD(__n, __v)] &= ~__BITMAP_BIT(__n, __v))
315 #define __BITMAP_ISSET(__n, __v) \
316     ((__v)->_b[__BITMAP_WORD(__n, __v)] & __BITMAP_BIT(__n, __v))
317 
318 #if __GNUC_PREREQ__(2, 95)
319 #define	__BITMAP_ZERO(__v) \
320     (void)__builtin_memset((__v), 0, sizeof(*__v))
321 #else
322 #define __BITMAP_ZERO(__v) do {						\
323 	size_t __i;							\
324 	for (__i = 0; __i < __arraycount((__v)->_b); __i++)		\
325 		(__v)->_b[__i] = 0;					\
326 	} while (/* CONSTCOND */ 0)
327 #endif /* GCC 2.95 */
328 
329 #endif /* _SYS_BITOPS_H_ */
330