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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
10#pragma once
11
23#include <stdint.h>
24
25#include "cpu_conf.h"
26
27#ifdef __cplusplus
28extern "C" {
29#endif
30
40#define SETBIT(val, bit) val |= (bit)
41
51#define CLRBIT(val, bit) val &= (~(bit))
52
57#ifndef BIT0
58#define BIT0 0x00000001
59#define BIT1 0x00000002
60#define BIT2 0x00000004
61#define BIT3 0x00000008
62#define BIT4 0x00000010
63#define BIT5 0x00000020
64#define BIT6 0x00000040
65#define BIT7 0x00000080
66#define BIT8 0x00000100
67#define BIT9 0x00000200
68#endif
69#ifndef BIT10
70#define BIT10 0x00000400
71#define BIT11 0x00000800
72#define BIT12 0x00001000
73#define BIT13 0x00002000
74#define BIT14 0x00004000
75#define BIT15 0x00008000
76#endif
77#ifndef BIT16
78#define BIT16 0x00010000
79#define BIT17 0x00020000
80#define BIT18 0x00040000
81#define BIT19 0x00080000
82#define BIT20 0x00100000
83#define BIT21 0x00200000
84#define BIT22 0x00400000
85#define BIT23 0x00800000
86#define BIT24 0x01000000
87#define BIT25 0x02000000
88#define BIT26 0x04000000
89#define BIT27 0x08000000
90#define BIT28 0x10000000
91#define BIT29 0x20000000
92#define BIT30 0x40000000
93#define BIT31 0x80000000
94#endif
97#define ARCH_32_BIT (__INT_MAX__ == 2147483647)
106static inline unsigned bitarithm_msb(unsigned v);
107
115static inline unsigned bitarithm_lsb(unsigned v);
116
123unsigned bitarithm_bits_set(unsigned v);
124
131#if ARCH_32_BIT
132static inline uint8_t bitarithm_bits_set_u32(uint32_t v)
133{
134 return bitarithm_bits_set(v);
135}
136#else
137uint8_t bitarithm_bits_set_u32(uint32_t v);
138#endif
139
149
150/* implementations */
151
152static inline unsigned bitarithm_msb(unsigned v)
153{
154#if defined(BITARITHM_HAS_CLZ)
155 return 8 * sizeof(v) - __builtin_clz(v) - 1;
156#elif ARCH_32_BIT
158#else
159 unsigned r = 0;
160 while (v >>= 1) { /* unroll for more speed... */
161 ++r;
162 }
163 return r;
164#endif
165}
166
175static inline uint8_t bitarithm_clzb(uint8_t x)
176{
177#if defined(BITARITHM_HAS_CLZ)
178 /* clz operates on `unsigned int`, so `x` will be promoted to the size
179 of an `unsigned int` */
180 return __builtin_clz(x) - 8 * (sizeof(unsigned) - 1);
181#else
182 uint8_t l = 0;
183 while (!(x & 0x80)) {
184 ++l;
185 x <<= 1;
186 }
187 return l;
188#endif
189}
190
203extern const uint8_t bitarithm_MultiplyDeBruijnBitPosition[32];
204
205static inline unsigned bitarithm_lsb(unsigned v)
206#if defined(BITARITHM_LSB_BUILTIN)
207{
208 return __builtin_ffs(v) - 1;
209}
210#elif defined(BITARITHM_LSB_LOOKUP)
211{
212/* Source: http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightMultLookup */
213 /* cppcheck-suppress oppositeExpression
214 * (reason: `x & -x` is a bit twiddling idiom to extract the LSB; the
215 * check treats opposite arguments as indicator for poor copy-pasting
216 * as e.g. `x + -x` or `x & ~x` don't make sense. ) */
217 return bitarithm_MultiplyDeBruijnBitPosition[((uint32_t)((v & -v) * 0x077CB531U)) >>
218 27];
219}
220#else
221{
222/* Source: http://graphics.stanford.edu/~seander/bithacks.html#IntegerLogObvious */
223 unsigned r = 0;
224
225 while ((v & 0x01) == 0) {
226 v >>= 1;
227 r++;
228 }
229
230 return r;
231}
232#endif
233
253static inline unsigned bitarithm_test_and_clear(unsigned state, uint8_t *index)
254{
255#if defined(BITARITHM_HAS_CLZ)
256 *index = 8 * sizeof(state) - __builtin_clz(state) - 1;
257 return state & ~(1 << *index);
258#elif defined(BITARITHM_LSB_LOOKUP)
259 /* Source: http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightMultLookup */
260 /* cppcheck-suppress oppositeExpression
261 * (reason: `x & -x` is a bit twiddling idiom to extract the LSB; the
262 * check treats opposite arguments as indicator for poor copy-pasting
263 * as e.g. `x + -x` or `x & ~x` don't make sense. ) */
264 uint32_t least_bit = state & -state;
265 *index = bitarithm_MultiplyDeBruijnBitPosition[(least_bit * 0x077CB531U) >> 27];
266 return state & ~least_bit;
267#else
268 while ((state & 1) == 0) {
269 *index += 1;
270 state >>= 1;
271 }
272 return state & ~1;
273#endif
274}
275
276#ifdef __cplusplus
277}
278#endif
279
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:152
static unsigned bitarithm_lsb(unsigned v)
Returns the number of the lowest '1' bit in a value.
Definition bitarithm.h:205
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:253
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:175