linux/tools/include/linux/log2.h
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   1/* SPDX-License-Identifier: GPL-2.0-or-later */
   2/* Integer base 2 logarithm calculation
   3 *
   4 * Copyright (C) 2006 Red Hat, Inc. All Rights Reserved.
   5 * Written by David Howells (dhowells@redhat.com)
   6 */
   7
   8#ifndef _TOOLS_LINUX_LOG2_H
   9#define _TOOLS_LINUX_LOG2_H
  10
  11#include <linux/bitops.h>
  12#include <linux/types.h>
  13
  14/*
  15 * non-constant log of base 2 calculators
  16 * - the arch may override these in asm/bitops.h if they can be implemented
  17 *   more efficiently than using fls() and fls64()
  18 * - the arch is not required to handle n==0 if implementing the fallback
  19 */
  20static inline __attribute__((const))
  21int __ilog2_u32(u32 n)
  22{
  23        return fls(n) - 1;
  24}
  25
  26static inline __attribute__((const))
  27int __ilog2_u64(u64 n)
  28{
  29        return fls64(n) - 1;
  30}
  31
  32/*
  33 *  Determine whether some value is a power of two, where zero is
  34 * *not* considered a power of two.
  35 */
  36
  37static inline __attribute__((const))
  38bool is_power_of_2(unsigned long n)
  39{
  40        return (n != 0 && ((n & (n - 1)) == 0));
  41}
  42
  43/*
  44 * round up to nearest power of two
  45 */
  46static inline __attribute__((const))
  47unsigned long __roundup_pow_of_two(unsigned long n)
  48{
  49        return 1UL << fls_long(n - 1);
  50}
  51
  52/*
  53 * round down to nearest power of two
  54 */
  55static inline __attribute__((const))
  56unsigned long __rounddown_pow_of_two(unsigned long n)
  57{
  58        return 1UL << (fls_long(n) - 1);
  59}
  60
  61/**
  62 * ilog2 - log of base 2 of 32-bit or a 64-bit unsigned value
  63 * @n - parameter
  64 *
  65 * constant-capable log of base 2 calculation
  66 * - this can be used to initialise global variables from constant data, hence
  67 *   the massive ternary operator construction
  68 *
  69 * selects the appropriately-sized optimised version depending on sizeof(n)
  70 */
  71#define ilog2(n)                                \
  72(                                               \
  73        __builtin_constant_p(n) ? (             \
  74                (n) < 2 ? 0 :                   \
  75                (n) & (1ULL << 63) ? 63 :       \
  76                (n) & (1ULL << 62) ? 62 :       \
  77                (n) & (1ULL << 61) ? 61 :       \
  78                (n) & (1ULL << 60) ? 60 :       \
  79                (n) & (1ULL << 59) ? 59 :       \
  80                (n) & (1ULL << 58) ? 58 :       \
  81                (n) & (1ULL << 57) ? 57 :       \
  82                (n) & (1ULL << 56) ? 56 :       \
  83                (n) & (1ULL << 55) ? 55 :       \
  84                (n) & (1ULL << 54) ? 54 :       \
  85                (n) & (1ULL << 53) ? 53 :       \
  86                (n) & (1ULL << 52) ? 52 :       \
  87                (n) & (1ULL << 51) ? 51 :       \
  88                (n) & (1ULL << 50) ? 50 :       \
  89                (n) & (1ULL << 49) ? 49 :       \
  90                (n) & (1ULL << 48) ? 48 :       \
  91                (n) & (1ULL << 47) ? 47 :       \
  92                (n) & (1ULL << 46) ? 46 :       \
  93                (n) & (1ULL << 45) ? 45 :       \
  94                (n) & (1ULL << 44) ? 44 :       \
  95                (n) & (1ULL << 43) ? 43 :       \
  96                (n) & (1ULL << 42) ? 42 :       \
  97                (n) & (1ULL << 41) ? 41 :       \
  98                (n) & (1ULL << 40) ? 40 :       \
  99                (n) & (1ULL << 39) ? 39 :       \
 100                (n) & (1ULL << 38) ? 38 :       \
 101                (n) & (1ULL << 37) ? 37 :       \
 102                (n) & (1ULL << 36) ? 36 :       \
 103                (n) & (1ULL << 35) ? 35 :       \
 104                (n) & (1ULL << 34) ? 34 :       \
 105                (n) & (1ULL << 33) ? 33 :       \
 106                (n) & (1ULL << 32) ? 32 :       \
 107                (n) & (1ULL << 31) ? 31 :       \
 108                (n) & (1ULL << 30) ? 30 :       \
 109                (n) & (1ULL << 29) ? 29 :       \
 110                (n) & (1ULL << 28) ? 28 :       \
 111                (n) & (1ULL << 27) ? 27 :       \
 112                (n) & (1ULL << 26) ? 26 :       \
 113                (n) & (1ULL << 25) ? 25 :       \
 114                (n) & (1ULL << 24) ? 24 :       \
 115                (n) & (1ULL << 23) ? 23 :       \
 116                (n) & (1ULL << 22) ? 22 :       \
 117                (n) & (1ULL << 21) ? 21 :       \
 118                (n) & (1ULL << 20) ? 20 :       \
 119                (n) & (1ULL << 19) ? 19 :       \
 120                (n) & (1ULL << 18) ? 18 :       \
 121                (n) & (1ULL << 17) ? 17 :       \
 122                (n) & (1ULL << 16) ? 16 :       \
 123                (n) & (1ULL << 15) ? 15 :       \
 124                (n) & (1ULL << 14) ? 14 :       \
 125                (n) & (1ULL << 13) ? 13 :       \
 126                (n) & (1ULL << 12) ? 12 :       \
 127                (n) & (1ULL << 11) ? 11 :       \
 128                (n) & (1ULL << 10) ? 10 :       \
 129                (n) & (1ULL <<  9) ?  9 :       \
 130                (n) & (1ULL <<  8) ?  8 :       \
 131                (n) & (1ULL <<  7) ?  7 :       \
 132                (n) & (1ULL <<  6) ?  6 :       \
 133                (n) & (1ULL <<  5) ?  5 :       \
 134                (n) & (1ULL <<  4) ?  4 :       \
 135                (n) & (1ULL <<  3) ?  3 :       \
 136                (n) & (1ULL <<  2) ?  2 :       \
 137                1 ) :                           \
 138        (sizeof(n) <= 4) ?                      \
 139        __ilog2_u32(n) :                        \
 140        __ilog2_u64(n)                          \
 141 )
 142
 143/**
 144 * roundup_pow_of_two - round the given value up to nearest power of two
 145 * @n - parameter
 146 *
 147 * round the given value up to the nearest power of two
 148 * - the result is undefined when n == 0
 149 * - this can be used to initialise global variables from constant data
 150 */
 151#define roundup_pow_of_two(n)                   \
 152(                                               \
 153        __builtin_constant_p(n) ? (             \
 154                (n == 1) ? 1 :                  \
 155                (1UL << (ilog2((n) - 1) + 1))   \
 156                                   ) :          \
 157        __roundup_pow_of_two(n)                 \
 158 )
 159
 160/**
 161 * rounddown_pow_of_two - round the given value down to nearest power of two
 162 * @n - parameter
 163 *
 164 * round the given value down to the nearest power of two
 165 * - the result is undefined when n == 0
 166 * - this can be used to initialise global variables from constant data
 167 */
 168#define rounddown_pow_of_two(n)                 \
 169(                                               \
 170        __builtin_constant_p(n) ? (             \
 171                (1UL << ilog2(n))) :            \
 172        __rounddown_pow_of_two(n)               \
 173 )
 174
 175#endif /* _TOOLS_LINUX_LOG2_H */
 176