log2.h 6.2 KB

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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. #ifndef _LINUX_LOG2_H
  8. #define _LINUX_LOG2_H
  9. #include <linux/types.h>
  10. #include <linux/bitops.h>
  11. /*
  12. * non-constant log of base 2 calculators
  13. * - the arch may override these in asm/bitops.h if they can be implemented
  14. * more efficiently than using fls() and fls64()
  15. * - the arch is not required to handle n==0 if implementing the fallback
  16. */
  17. #ifndef CONFIG_ARCH_HAS_ILOG2_U32
  18. static __always_inline __attribute__((const))
  19. int __ilog2_u32(u32 n)
  20. {
  21. return fls(n) - 1;
  22. }
  23. #endif
  24. #ifndef CONFIG_ARCH_HAS_ILOG2_U64
  25. static __always_inline __attribute__((const))
  26. int __ilog2_u64(u64 n)
  27. {
  28. return fls64(n) - 1;
  29. }
  30. #endif
  31. /**
  32. * is_power_of_2() - check if a value is a power of two
  33. * @n: the value to check
  34. *
  35. * Determine whether some value is a power of two, where zero is
  36. * *not* considered a power of two.
  37. * Return: true if @n is a power of 2, otherwise false.
  38. */
  39. static inline __attribute__((const))
  40. bool is_power_of_2(unsigned long n)
  41. {
  42. return (n != 0 && ((n & (n - 1)) == 0));
  43. }
  44. /**
  45. * __roundup_pow_of_two() - round up to nearest power of two
  46. * @n: value to round up
  47. */
  48. static inline __attribute__((const))
  49. unsigned long __roundup_pow_of_two(unsigned long n)
  50. {
  51. return 1UL << fls_long(n - 1);
  52. }
  53. /**
  54. * __rounddown_pow_of_two() - round down to nearest power of two
  55. * @n: value to round down
  56. */
  57. static inline __attribute__((const))
  58. unsigned long __rounddown_pow_of_two(unsigned long n)
  59. {
  60. return 1UL << (fls_long(n) - 1);
  61. }
  62. /**
  63. * const_ilog2 - log base 2 of 32-bit or a 64-bit constant unsigned value
  64. * @n: parameter
  65. *
  66. * Use this where sparse expects a true constant expression, e.g. for array
  67. * indices.
  68. */
  69. #define const_ilog2(n) \
  70. ( \
  71. __builtin_constant_p(n) ? ( \
  72. (n) < 2 ? 0 : \
  73. (n) & (1ULL << 63) ? 63 : \
  74. (n) & (1ULL << 62) ? 62 : \
  75. (n) & (1ULL << 61) ? 61 : \
  76. (n) & (1ULL << 60) ? 60 : \
  77. (n) & (1ULL << 59) ? 59 : \
  78. (n) & (1ULL << 58) ? 58 : \
  79. (n) & (1ULL << 57) ? 57 : \
  80. (n) & (1ULL << 56) ? 56 : \
  81. (n) & (1ULL << 55) ? 55 : \
  82. (n) & (1ULL << 54) ? 54 : \
  83. (n) & (1ULL << 53) ? 53 : \
  84. (n) & (1ULL << 52) ? 52 : \
  85. (n) & (1ULL << 51) ? 51 : \
  86. (n) & (1ULL << 50) ? 50 : \
  87. (n) & (1ULL << 49) ? 49 : \
  88. (n) & (1ULL << 48) ? 48 : \
  89. (n) & (1ULL << 47) ? 47 : \
  90. (n) & (1ULL << 46) ? 46 : \
  91. (n) & (1ULL << 45) ? 45 : \
  92. (n) & (1ULL << 44) ? 44 : \
  93. (n) & (1ULL << 43) ? 43 : \
  94. (n) & (1ULL << 42) ? 42 : \
  95. (n) & (1ULL << 41) ? 41 : \
  96. (n) & (1ULL << 40) ? 40 : \
  97. (n) & (1ULL << 39) ? 39 : \
  98. (n) & (1ULL << 38) ? 38 : \
  99. (n) & (1ULL << 37) ? 37 : \
  100. (n) & (1ULL << 36) ? 36 : \
  101. (n) & (1ULL << 35) ? 35 : \
  102. (n) & (1ULL << 34) ? 34 : \
  103. (n) & (1ULL << 33) ? 33 : \
  104. (n) & (1ULL << 32) ? 32 : \
  105. (n) & (1ULL << 31) ? 31 : \
  106. (n) & (1ULL << 30) ? 30 : \
  107. (n) & (1ULL << 29) ? 29 : \
  108. (n) & (1ULL << 28) ? 28 : \
  109. (n) & (1ULL << 27) ? 27 : \
  110. (n) & (1ULL << 26) ? 26 : \
  111. (n) & (1ULL << 25) ? 25 : \
  112. (n) & (1ULL << 24) ? 24 : \
  113. (n) & (1ULL << 23) ? 23 : \
  114. (n) & (1ULL << 22) ? 22 : \
  115. (n) & (1ULL << 21) ? 21 : \
  116. (n) & (1ULL << 20) ? 20 : \
  117. (n) & (1ULL << 19) ? 19 : \
  118. (n) & (1ULL << 18) ? 18 : \
  119. (n) & (1ULL << 17) ? 17 : \
  120. (n) & (1ULL << 16) ? 16 : \
  121. (n) & (1ULL << 15) ? 15 : \
  122. (n) & (1ULL << 14) ? 14 : \
  123. (n) & (1ULL << 13) ? 13 : \
  124. (n) & (1ULL << 12) ? 12 : \
  125. (n) & (1ULL << 11) ? 11 : \
  126. (n) & (1ULL << 10) ? 10 : \
  127. (n) & (1ULL << 9) ? 9 : \
  128. (n) & (1ULL << 8) ? 8 : \
  129. (n) & (1ULL << 7) ? 7 : \
  130. (n) & (1ULL << 6) ? 6 : \
  131. (n) & (1ULL << 5) ? 5 : \
  132. (n) & (1ULL << 4) ? 4 : \
  133. (n) & (1ULL << 3) ? 3 : \
  134. (n) & (1ULL << 2) ? 2 : \
  135. 1) : \
  136. -1)
  137. /**
  138. * ilog2 - log base 2 of 32-bit or a 64-bit unsigned value
  139. * @n: parameter
  140. *
  141. * constant-capable log of base 2 calculation
  142. * - this can be used to initialise global variables from constant data, hence
  143. * the massive ternary operator construction
  144. *
  145. * selects the appropriately-sized optimised version depending on sizeof(n)
  146. */
  147. #define ilog2(n) \
  148. ( \
  149. __builtin_constant_p(n) ? \
  150. ((n) < 2 ? 0 : \
  151. 63 - __builtin_clzll(n)) : \
  152. (sizeof(n) <= 4) ? \
  153. __ilog2_u32(n) : \
  154. __ilog2_u64(n) \
  155. )
  156. /**
  157. * roundup_pow_of_two - round the given value up to nearest power of two
  158. * @n: parameter
  159. *
  160. * round the given value up to the nearest power of two
  161. * - the result is undefined when n == 0
  162. * - this can be used to initialise global variables from constant data
  163. */
  164. #define roundup_pow_of_two(n) \
  165. ( \
  166. __builtin_constant_p(n) ? ( \
  167. ((n) == 1) ? 1 : \
  168. (1UL << (ilog2((n) - 1) + 1)) \
  169. ) : \
  170. __roundup_pow_of_two(n) \
  171. )
  172. /**
  173. * rounddown_pow_of_two - round the given value down to nearest power of two
  174. * @n: parameter
  175. *
  176. * round the given value down to the nearest power of two
  177. * - the result is undefined when n == 0
  178. * - this can be used to initialise global variables from constant data
  179. */
  180. #define rounddown_pow_of_two(n) \
  181. ( \
  182. __builtin_constant_p(n) ? ( \
  183. (1UL << ilog2(n))) : \
  184. __rounddown_pow_of_two(n) \
  185. )
  186. static inline __attribute_const__
  187. int __order_base_2(unsigned long n)
  188. {
  189. return n > 1 ? ilog2(n - 1) + 1 : 0;
  190. }
  191. /**
  192. * order_base_2 - calculate the (rounded up) base 2 order of the argument
  193. * @n: parameter
  194. *
  195. * The first few values calculated by this routine:
  196. * ob2(0) = 0
  197. * ob2(1) = 0
  198. * ob2(2) = 1
  199. * ob2(3) = 2
  200. * ob2(4) = 2
  201. * ob2(5) = 3
  202. * ... and so on.
  203. */
  204. #define order_base_2(n) \
  205. ( \
  206. __builtin_constant_p(n) ? ( \
  207. ((n) == 0 || (n) == 1) ? 0 : \
  208. ilog2((n) - 1) + 1) : \
  209. __order_base_2(n) \
  210. )
  211. static inline __attribute__((const))
  212. int __bits_per(unsigned long n)
  213. {
  214. if (n < 2)
  215. return 1;
  216. if (is_power_of_2(n))
  217. return order_base_2(n) + 1;
  218. return order_base_2(n);
  219. }
  220. /**
  221. * bits_per - calculate the number of bits required for the argument
  222. * @n: parameter
  223. *
  224. * This is constant-capable and can be used for compile time
  225. * initializations, e.g bitfields.
  226. *
  227. * The first few values calculated by this routine:
  228. * bf(0) = 1
  229. * bf(1) = 1
  230. * bf(2) = 2
  231. * bf(3) = 2
  232. * bf(4) = 3
  233. * ... and so on.
  234. */
  235. #define bits_per(n) \
  236. ( \
  237. __builtin_constant_p(n) ? ( \
  238. ((n) == 0 || (n) == 1) \
  239. ? 1 : ilog2(n) + 1 \
  240. ) : \
  241. __bits_per(n) \
  242. )
  243. #endif /* _LINUX_LOG2_H */