bitarithm.h
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1 /*
2  * SPDX-FileCopyrightText: 2017 Kaspar Schleiser <kaspar@schleiser.de>
3  * SPDX-FileCopyrightText: 2014 Freie Universität Berlin
4  * SPDX-License-Identifier: LGPL-2.1-only
5  */
6 
7 #pragma once
8 
20 #include <stdint.h>
21 
22 #include "cpu_conf.h"
23 
24 #ifdef __cplusplus
25 extern "C" {
26 #endif
27 
37 #define SETBIT(val, bit) val |= (bit)
38 
48 #define CLRBIT(val, bit) val &= (~(bit))
49 
54 #ifndef BIT0
55 #define BIT0 0x00000001
56 #define BIT1 0x00000002
57 #define BIT2 0x00000004
58 #define BIT3 0x00000008
59 #define BIT4 0x00000010
60 #define BIT5 0x00000020
61 #define BIT6 0x00000040
62 #define BIT7 0x00000080
63 #define BIT8 0x00000100
64 #define BIT9 0x00000200
65 #endif
66 #ifndef BIT10
67 #define BIT10 0x00000400
68 #define BIT11 0x00000800
69 #define BIT12 0x00001000
70 #define BIT13 0x00002000
71 #define BIT14 0x00004000
72 #define BIT15 0x00008000
73 #endif
74 #ifndef BIT16
75 #define BIT16 0x00010000
76 #define BIT17 0x00020000
77 #define BIT18 0x00040000
78 #define BIT19 0x00080000
79 #define BIT20 0x00100000
80 #define BIT21 0x00200000
81 #define BIT22 0x00400000
82 #define BIT23 0x00800000
83 #define BIT24 0x01000000
84 #define BIT25 0x02000000
85 #define BIT26 0x04000000
86 #define BIT27 0x08000000
87 #define BIT28 0x10000000
88 #define BIT29 0x20000000
89 #define BIT30 0x40000000
90 #define BIT31 0x80000000
91 #endif
94 #define ARCH_32_BIT (__INT_MAX__ == 2147483647)
103 static inline unsigned bitarithm_msb(unsigned v);
104 
112 static inline unsigned bitarithm_lsb(unsigned v);
113 
120 unsigned bitarithm_bits_set(unsigned v);
121 
128 #if ARCH_32_BIT
129 static inline uint8_t bitarithm_bits_set_u32(uint32_t v)
130 {
131  return bitarithm_bits_set(v);
132 }
133 #else
134 uint8_t bitarithm_bits_set_u32(uint32_t v);
135 #endif
136 
145 unsigned bitarith_msb_32bit_no_native_clz(unsigned v);
146 
147 /* implementations */
148 
149 static inline unsigned bitarithm_msb(unsigned v)
150 {
151 #if defined(BITARITHM_HAS_CLZ)
152  return 8 * sizeof(v) - __builtin_clz(v) - 1;
153 #elif ARCH_32_BIT
155 #else
156  unsigned r = 0;
157  while (v >>= 1) { /* unroll for more speed... */
158  ++r;
159  }
160  return r;
161 #endif
162 }
163 
172 static inline uint8_t bitarithm_clzb(uint8_t x)
173 {
174 #if defined(BITARITHM_HAS_CLZ)
175  /* clz operates on `unsigned int`, so `x` will be promoted to the size
176  of an `unsigned int` */
177  return __builtin_clz(x) - 8 * (sizeof(unsigned) - 1);
178 #else
179  uint8_t l = 0;
180  while (!(x & 0x80)) {
181  ++l;
182  x <<= 1;
183  }
184  return l;
185 #endif
186 }
187 
200 extern const uint8_t bitarithm_MultiplyDeBruijnBitPosition[32];
201 
202 static inline unsigned bitarithm_lsb(unsigned v)
203 #if defined(BITARITHM_LSB_BUILTIN)
204 {
205  return __builtin_ffs(v) - 1;
206 }
207 #elif defined(BITARITHM_LSB_LOOKUP)
208 {
209 /* Source: http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightMultLookup */
210  /* cppcheck-suppress oppositeExpression
211  * (reason: `x & -x` is a bit twiddling idiom to extract the LSB; the
212  * check treats opposite arguments as indicator for poor copy-pasting
213  * as e.g. `x + -x` or `x & ~x` don't make sense. ) */
214  return bitarithm_MultiplyDeBruijnBitPosition[((uint32_t)((v & -v) * 0x077CB531U)) >>
215  27];
216 }
217 #else
218 {
219 /* Source: http://graphics.stanford.edu/~seander/bithacks.html#IntegerLogObvious */
220  unsigned r = 0;
221 
222  while ((v & 0x01) == 0) {
223  v >>= 1;
224  r++;
225  }
226 
227  return r;
228 }
229 #endif
230 
250 static inline unsigned bitarithm_test_and_clear(unsigned state, uint8_t *index)
251 {
252 #if defined(BITARITHM_HAS_CLZ)
253  *index = 8 * sizeof(state) - __builtin_clz(state) - 1;
254  return state & ~(1 << *index);
255 #elif defined(BITARITHM_LSB_LOOKUP)
256  /* Source: http://graphics.stanford.edu/~seander/bithacks.html#ZerosOnRightMultLookup */
257  /* cppcheck-suppress oppositeExpression
258  * (reason: `x & -x` is a bit twiddling idiom to extract the LSB; the
259  * check treats opposite arguments as indicator for poor copy-pasting
260  * as e.g. `x + -x` or `x & ~x` don't make sense. ) */
261  uint32_t least_bit = state & -state;
262  *index = bitarithm_MultiplyDeBruijnBitPosition[(least_bit * 0x077CB531U) >> 27];
263  return state & ~least_bit;
264 #else
265  while ((state & 1) == 0) {
266  *index += 1;
267  state >>= 1;
268  }
269  return state & ~1;
270 #endif
271 }
272 
273 #ifdef __cplusplus
274 }
275 #endif
276 
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:149
static unsigned bitarithm_lsb(unsigned v)
Returns the number of the lowest '1' bit in a value.
Definition: bitarithm.h:202
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:250
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:172