aboutsummaryrefslogtreecommitdiff
path: root/include/linux/log2.h
blob: 9f30d087a128143b238b04e68b452b3647252d6b (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
/* SPDX-License-Identifier: GPL-2.0-or-later */
/* Integer base 2 logarithm calculation
 *
 * Copyright (C) 2006 Red Hat, Inc. All Rights Reserved.
 * Written by David Howells (dhowells@redhat.com)
 */

#ifndef _LINUX_LOG2_H
#define _LINUX_LOG2_H

#include <linux/types.h>
#include <linux/bitops.h>

/*
 * non-constant log of base 2 calculators
 * - the arch may override these in asm/bitops.h if they can be implemented
 *   more efficiently than using fls() and fls64()
 * - the arch is not required to handle n==0 if implementing the fallback
 */
#ifndef CONFIG_ARCH_HAS_ILOG2_U32
static __always_inline __attribute__((const))
int __ilog2_u32(u32 n)
{
	return fls(n) - 1;
}
#endif

#ifndef CONFIG_ARCH_HAS_ILOG2_U64
static __always_inline __attribute__((const))
int __ilog2_u64(u64 n)
{
	return fls64(n) - 1;
}
#endif

/**
 * is_power_of_2() - check if a value is a power of two
 * @n: the value to check
 *
 * Determine whether some value is a power of two, where zero is
 * *not* considered a power of two.
 * Return: true if @n is a power of 2, otherwise false.
 */
static inline __attribute__((const))
bool is_power_of_2(unsigned long n)
{
	return (n != 0 && ((n & (n - 1)) == 0));
}

/**
 * __roundup_pow_of_two() - round up to nearest power of two
 * @n: value to round up
 */
static inline __attribute__((const))
unsigned long __roundup_pow_of_two(unsigned long n)
{
	return 1UL << fls_long(n - 1);
}

/**
 * __rounddown_pow_of_two() - round down to nearest power of two
 * @n: value to round down
 */
static inline __attribute__((const))
unsigned long __rounddown_pow_of_two(unsigned long n)
{
	return 1UL << (fls_long(n) - 1);
}

/**
 * const_ilog2 - log base 2 of 32-bit or a 64-bit constant unsigned value
 * @n: parameter
 *
 * Use this where sparse expects a true constant expression, e.g. for array
 * indices.
 */
#define const_ilog2(n)				\
(						\
	__builtin_constant_p(n) ? (		\
		(n) < 2 ? 0 :			\
		(n) & (1ULL << 63) ? 63 :	\
		(n) & (1ULL << 62) ? 62 :	\
		(n) & (1ULL << 61) ? 61 :	\
		(n) & (1ULL << 60) ? 60 :	\
		(n) & (1ULL << 59) ? 59 :	\
		(n) & (1ULL << 58) ? 58 :	\
		(n) & (1ULL << 57) ? 57 :	\
		(n) & (1ULL << 56) ? 56 :	\
		(n) & (1ULL << 55) ? 55 :	\
		(n) & (1ULL << 54) ? 54 :	\
		(n) & (1ULL << 53) ? 53 :	\
		(n) & (1ULL << 52) ? 52 :	\
		(n) & (1ULL << 51) ? 51 :	\
		(n) & (1ULL << 50) ? 50 :	\
		(n) & (1ULL << 49) ? 49 :	\
		(n) & (1ULL << 48) ? 48 :	\
		(n) & (1ULL << 47) ? 47 :	\
		(n) & (1ULL << 46) ? 46 :	\
		(n) & (1ULL << 45) ? 45 :	\
		(n) & (1ULL << 44) ? 44 :	\
		(n) & (1ULL << 43) ? 43 :	\
		(n) & (1ULL << 42) ? 42 :	\
		(n) & (1ULL << 41) ? 41 :	\
		(n) & (1ULL << 40) ? 40 :	\
		(n) & (1ULL << 39) ? 39 :	\
		(n) & (1ULL << 38) ? 38 :	\
		(n) & (1ULL << 37) ? 37 :	\
		(n) & (1ULL << 36) ? 36 :	\
		(n) & (1ULL << 35) ? 35 :	\
		(n) & (1ULL << 34) ? 34 :	\
		(n) & (1ULL << 33) ? 33 :	\
		(n) & (1ULL << 32) ? 32 :	\
		(n) & (1ULL << 31) ? 31 :	\
		(n) & (1ULL << 30) ? 30 :	\
		(n) & (1ULL << 29) ? 29 :	\
		(n) & (1ULL << 28) ? 28 :	\
		(n) & (1ULL << 27) ? 27 :	\
		(n) & (1ULL << 26) ? 26 :	\
		(n) & (1ULL << 25) ? 25 :	\
		(n) & (1ULL << 24) ? 24 :	\
		(n) & (1ULL << 23) ? 23 :	\
		(n) & (1ULL << 22) ? 22 :	\
		(n) & (1ULL << 21) ? 21 :	\
		(n) & (1ULL << 20) ? 20 :	\
		(n) & (1ULL << 19) ? 19 :	\
		(n) & (1ULL << 18) ? 18 :	\
		(n) & (1ULL << 17) ? 17 :	\
		(n) & (1ULL << 16) ? 16 :	\
		(n) & (1ULL << 15) ? 15 :	\
		(n) & (1ULL << 14) ? 14 :	\
		(n) & (1ULL << 13) ? 13 :	\
		(n) & (1ULL << 12) ? 12 :	\
		(n) & (1ULL << 11) ? 11 :	\
		(n) & (1ULL << 10) ? 10 :	\
		(n) & (1ULL <<  9) ?  9 :	\
		(n) & (1ULL <<  8) ?  8 :	\
		(n) & (1ULL <<  7) ?  7 :	\
		(n) & (1ULL <<  6) ?  6 :	\
		(n) & (1ULL <<  5) ?  5 :	\
		(n) & (1ULL <<  4) ?  4 :	\
		(n) & (1ULL <<  3) ?  3 :	\
		(n) & (1ULL <<  2) ?  2 :	\
		1) :				\
	-1)

/**
 * ilog2 - log base 2 of 32-bit or a 64-bit unsigned value
 * @n: parameter
 *
 * constant-capable log of base 2 calculation
 * - this can be used to initialise global variables from constant data, hence
 * the massive ternary operator construction
 *
 * selects the appropriately-sized optimised version depending on sizeof(n)
 */
#define ilog2(n) \
( \
	__builtin_constant_p(n) ?	\
	((n) < 2 ? 0 :			\
	 63 - __builtin_clzll(n)) :	\
	(sizeof(n) <= 4) ?		\
	__ilog2_u32(n) :		\
	__ilog2_u64(n)			\
 )

/**
 * roundup_pow_of_two - round the given value up to nearest power of two
 * @n: parameter
 *
 * round the given value up to the nearest power of two
 * - the result is undefined when n == 0
 * - this can be used to initialise global variables from constant data
 */
#define roundup_pow_of_two(n)			\
(						\
	__builtin_constant_p(n) ? (		\
		((n) == 1) ? 1 :		\
		(1UL << (ilog2((n) - 1) + 1))	\
				   ) :		\
	__roundup_pow_of_two(n)			\
 )

/**
 * rounddown_pow_of_two - round the given value down to nearest power of two
 * @n: parameter
 *
 * round the given value down to the nearest power of two
 * - the result is undefined when n == 0
 * - this can be used to initialise global variables from constant data
 */
#define rounddown_pow_of_two(n)			\
(						\
	__builtin_constant_p(n) ? (		\
		(1UL << ilog2(n))) :		\
	__rounddown_pow_of_two(n)		\
 )

static inline __attribute_const__
int __order_base_2(unsigned long n)
{
	return n > 1 ? ilog2(n - 1) + 1 : 0;
}

/**
 * order_base_2 - calculate the (rounded up) base 2 order of the argument
 * @n: parameter
 *
 * The first few values calculated by this routine:
 *  ob2(0) = 0
 *  ob2(1) = 0
 *  ob2(2) = 1
 *  ob2(3) = 2
 *  ob2(4) = 2
 *  ob2(5) = 3
 *  ... and so on.
 */
#define order_base_2(n)				\
(						\
	__builtin_constant_p(n) ? (		\
		((n) == 0 || (n) == 1) ? 0 :	\
		ilog2((n) - 1) + 1) :		\
	__order_base_2(n)			\
)

static inline __attribute__((const))
int __bits_per(unsigned long n)
{
	if (n < 2)
		return 1;
	if (is_power_of_2(n))
		return order_base_2(n) + 1;
	return order_base_2(n);
}

/**
 * bits_per - calculate the number of bits required for the argument
 * @n: parameter
 *
 * This is constant-capable and can be used for compile time
 * initializations, e.g bitfields.
 *
 * The first few values calculated by this routine:
 * bf(0) = 1
 * bf(1) = 1
 * bf(2) = 2
 * bf(3) = 2
 * bf(4) = 3
 * ... and so on.
 */
#define bits_per(n)				\
(						\
	__builtin_constant_p(n) ? (		\
		((n) == 0 || (n) == 1)		\
			? 1 : ilog2(n) + 1	\
	) :					\
	__bits_per(n)				\
)
#endif /* _LINUX_LOG2_H */