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bitarithm.h
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1/*
2 * Copyright (C) 2017 Kaspar Schleiser <kaspar@schleiser.de>
3 * 2014 Freie Universität Berlin
4 *
5 * This file is subject to the terms and conditions of the GNU Lesser
6 * General Public License v2.1. See the file LICENSE in the top level
7 * directory for more details.
8 */
9
21#ifndef BITARITHM_H
22#define BITARITHM_H
23
24#include <stdint.h>
25
26#include "cpu_conf.h"
27
28#ifdef __cplusplus
29extern "C" {
30#endif
31
41#define SETBIT(val, bit) val |= (bit)
42
52#define CLRBIT(val, bit) val &= (~(bit))
53
58#ifndef BIT0
59#define BIT0 0x00000001
60#define BIT1 0x00000002
61#define BIT2 0x00000004
62#define BIT3 0x00000008
63#define BIT4 0x00000010
64#define BIT5 0x00000020
65#define BIT6 0x00000040
66#define BIT7 0x00000080
67#define BIT8 0x00000100
68#define BIT9 0x00000200
69#endif
70#ifndef BIT10
71#define BIT10 0x00000400
72#define BIT11 0x00000800
73#define BIT12 0x00001000
74#define BIT13 0x00002000
75#define BIT14 0x00004000
76#define BIT15 0x00008000
77#endif
78#ifndef BIT16
79#define BIT16 0x00010000
80#define BIT17 0x00020000
81#define BIT18 0x00040000
82#define BIT19 0x00080000
83#define BIT20 0x00100000
84#define BIT21 0x00200000
85#define BIT22 0x00400000
86#define BIT23 0x00800000
87#define BIT24 0x01000000
88#define BIT25 0x02000000
89#define BIT26 0x04000000
90#define BIT27 0x08000000
91#define BIT28 0x10000000
92#define BIT29 0x20000000
93#define BIT30 0x40000000
94#define BIT31 0x80000000
95#endif
98#define ARCH_32_BIT (__INT_MAX__ == 2147483647)
107static inline unsigned bitarithm_msb(unsigned v);
108
116static inline unsigned bitarithm_lsb(unsigned v);
117
124unsigned bitarithm_bits_set(unsigned v);
125
132#if ARCH_32_BIT
133static inline uint8_t bitarithm_bits_set_u32(uint32_t v)
134{
135 return bitarithm_bits_set(v);
136}
137#else
138uint8_t bitarithm_bits_set_u32(uint32_t v);
139#endif
140
150
151/* implementations */
152
153static inline unsigned bitarithm_msb(unsigned v)
154{
155#if defined(BITARITHM_HAS_CLZ)
156 return 8 * sizeof(v) - __builtin_clz(v) - 1;
157#elif ARCH_32_BIT
159#else
160 unsigned r = 0;
161 while (v >>= 1) { /* unroll for more speed... */
162 ++r;
163 }
164 return r;
165#endif
166}
167
176static inline uint8_t bitarithm_clzb(uint8_t x)
177{
178#if defined(BITARITHM_HAS_CLZ)
179 /* clz operates on `unsigned int`, so `x` will be promoted to the size
180 of an `unsigned int` */
181 return __builtin_clz(x) - 8 * (sizeof(unsigned) - 1);
182#else
183 uint8_t l = 0;
184 while (!(x & 0x80)) {
185 ++l;
186 x <<= 1;
187 }
188 return l;
189#endif
190}
191
204extern const uint8_t bitarithm_MultiplyDeBruijnBitPosition[32];
205
206static inline unsigned bitarithm_lsb(unsigned v)
207#if defined(BITARITHM_LSB_BUILTIN)
208{
209 return __builtin_ffs(v) - 1;
210}
211#elif defined(BITARITHM_LSB_LOOKUP)
212{
213/* Source: http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightMultLookup */
214 /* cppcheck-suppress oppositeExpression
215 * (reason: `x & -x` is a bit twiddling idiom to extract the LSB; the
216 * check treats opposite arguments as indicator for poor copy-pasting
217 * as e.g. `x + -x` or `x & ~x` don't make sense. ) */
218 return bitarithm_MultiplyDeBruijnBitPosition[((uint32_t)((v & -v) * 0x077CB531U)) >>
219 27];
220}
221#else
222{
223/* Source: http://graphics.stanford.edu/~seander/bithacks.html#IntegerLogObvious */
224 unsigned r = 0;
225
226 while ((v & 0x01) == 0) {
227 v >>= 1;
228 r++;
229 }
230
231 return r;
232}
233#endif
234
254static inline unsigned bitarithm_test_and_clear(unsigned state, uint8_t *index)
255{
256#if defined(BITARITHM_HAS_CLZ)
257 *index = 8 * sizeof(state) - __builtin_clz(state) - 1;
258 return state & ~(1 << *index);
259#elif defined(BITARITHM_LSB_LOOKUP)
260 /* Source: http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightMultLookup */
261 /* cppcheck-suppress oppositeExpression
262 * (reason: `x & -x` is a bit twiddling idiom to extract the LSB; the
263 * check treats opposite arguments as indicator for poor copy-pasting
264 * as e.g. `x + -x` or `x & ~x` don't make sense. ) */
265 uint32_t least_bit = state & -state;
266 *index = bitarithm_MultiplyDeBruijnBitPosition[(least_bit * 0x077CB531U) >> 27];
267 return state & ~least_bit;
268#else
269 while ((state & 1) == 0) {
270 *index += 1;
271 state >>= 1;
272 }
273 return state & ~1;
274#endif
275}
276
277#ifdef __cplusplus
278}
279#endif
280
281#endif /* BITARITHM_H */
uint8_t bitarithm_bits_set_u32(uint32_t v)
Returns the (uint32_t version) number of bits set in a value.
static unsigned bitarithm_msb(unsigned v)
Returns the number of the highest '1' bit in a value.
Definition bitarithm.h:153
static unsigned bitarithm_lsb(unsigned v)
Returns the number of the lowest '1' bit in a value.
Definition bitarithm.h:206
unsigned bitarithm_bits_set(unsigned v)
Returns the number of bits set in a value.
unsigned bitarith_msb_32bit_no_native_clz(unsigned v)
Returns the number of the highest '1' bit in a value.
static unsigned bitarithm_test_and_clear(unsigned state, uint8_t *index)
Used for iterating over the bits in state.
Definition bitarithm.h:254
static uint8_t bitarithm_clzb(uint8_t x)
Returns the number of leading 0-bits in x, starting at the most significant bit position.
Definition bitarithm.h:176