log2.h 5.0 KB

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  1. /* Integer base 2 logarithm calculation
  2. *
  3. * Copyright (C) 2006 Red Hat, Inc. All Rights Reserved.
  4. * Written by David Howells (dhowells@redhat.com)
  5. *
  6. * SPDX-License-Identifier: GPL-2.0+
  7. */
  8. #ifndef _LINUX_LOG2_H
  9. #define _LINUX_LOG2_H
  10. #include <linux/types.h>
  11. #include <linux/bitops.h>
  12. /*
  13. * deal with unrepresentable constant logarithms
  14. */
  15. extern __attribute__((const, noreturn))
  16. int ____ilog2_NaN(void);
  17. /*
  18. * non-constant log of base 2 calculators
  19. * - the arch may override these in asm/bitops.h if they can be implemented
  20. * more efficiently than using fls() and fls64()
  21. * - the arch is not required to handle n==0 if implementing the fallback
  22. */
  23. #ifndef CONFIG_ARCH_HAS_ILOG2_U32
  24. static inline __attribute__((const))
  25. int __ilog2_u32(u32 n)
  26. {
  27. return fls(n) - 1;
  28. }
  29. #endif
  30. #ifndef CONFIG_ARCH_HAS_ILOG2_U64
  31. static inline __attribute__((const))
  32. int __ilog2_u64(u64 n)
  33. {
  34. return fls64(n) - 1;
  35. }
  36. #endif
  37. /*
  38. * Determine whether some value is a power of two, where zero is
  39. * *not* considered a power of two.
  40. */
  41. static inline __attribute__((const))
  42. bool is_power_of_2(unsigned long n)
  43. {
  44. return (n != 0 && ((n & (n - 1)) == 0));
  45. }
  46. /*
  47. * round up to nearest power of two
  48. */
  49. static inline __attribute__((const))
  50. unsigned long __roundup_pow_of_two(unsigned long n)
  51. {
  52. return 1UL << fls_long(n - 1);
  53. }
  54. /*
  55. * round down to nearest power of two
  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. * ilog2 - log of base 2 of 32-bit or a 64-bit unsigned value
  64. * @n - parameter
  65. *
  66. * constant-capable log of base 2 calculation
  67. * - this can be used to initialise global variables from constant data, hence
  68. * the massive ternary operator construction
  69. *
  70. * selects the appropriately-sized optimised version depending on sizeof(n)
  71. */
  72. #define ilog2(n) \
  73. ( \
  74. __builtin_constant_p(n) ? ( \
  75. (n) < 1 ? ____ilog2_NaN() : \
  76. (n) & (1ULL << 63) ? 63 : \
  77. (n) & (1ULL << 62) ? 62 : \
  78. (n) & (1ULL << 61) ? 61 : \
  79. (n) & (1ULL << 60) ? 60 : \
  80. (n) & (1ULL << 59) ? 59 : \
  81. (n) & (1ULL << 58) ? 58 : \
  82. (n) & (1ULL << 57) ? 57 : \
  83. (n) & (1ULL << 56) ? 56 : \
  84. (n) & (1ULL << 55) ? 55 : \
  85. (n) & (1ULL << 54) ? 54 : \
  86. (n) & (1ULL << 53) ? 53 : \
  87. (n) & (1ULL << 52) ? 52 : \
  88. (n) & (1ULL << 51) ? 51 : \
  89. (n) & (1ULL << 50) ? 50 : \
  90. (n) & (1ULL << 49) ? 49 : \
  91. (n) & (1ULL << 48) ? 48 : \
  92. (n) & (1ULL << 47) ? 47 : \
  93. (n) & (1ULL << 46) ? 46 : \
  94. (n) & (1ULL << 45) ? 45 : \
  95. (n) & (1ULL << 44) ? 44 : \
  96. (n) & (1ULL << 43) ? 43 : \
  97. (n) & (1ULL << 42) ? 42 : \
  98. (n) & (1ULL << 41) ? 41 : \
  99. (n) & (1ULL << 40) ? 40 : \
  100. (n) & (1ULL << 39) ? 39 : \
  101. (n) & (1ULL << 38) ? 38 : \
  102. (n) & (1ULL << 37) ? 37 : \
  103. (n) & (1ULL << 36) ? 36 : \
  104. (n) & (1ULL << 35) ? 35 : \
  105. (n) & (1ULL << 34) ? 34 : \
  106. (n) & (1ULL << 33) ? 33 : \
  107. (n) & (1ULL << 32) ? 32 : \
  108. (n) & (1ULL << 31) ? 31 : \
  109. (n) & (1ULL << 30) ? 30 : \
  110. (n) & (1ULL << 29) ? 29 : \
  111. (n) & (1ULL << 28) ? 28 : \
  112. (n) & (1ULL << 27) ? 27 : \
  113. (n) & (1ULL << 26) ? 26 : \
  114. (n) & (1ULL << 25) ? 25 : \
  115. (n) & (1ULL << 24) ? 24 : \
  116. (n) & (1ULL << 23) ? 23 : \
  117. (n) & (1ULL << 22) ? 22 : \
  118. (n) & (1ULL << 21) ? 21 : \
  119. (n) & (1ULL << 20) ? 20 : \
  120. (n) & (1ULL << 19) ? 19 : \
  121. (n) & (1ULL << 18) ? 18 : \
  122. (n) & (1ULL << 17) ? 17 : \
  123. (n) & (1ULL << 16) ? 16 : \
  124. (n) & (1ULL << 15) ? 15 : \
  125. (n) & (1ULL << 14) ? 14 : \
  126. (n) & (1ULL << 13) ? 13 : \
  127. (n) & (1ULL << 12) ? 12 : \
  128. (n) & (1ULL << 11) ? 11 : \
  129. (n) & (1ULL << 10) ? 10 : \
  130. (n) & (1ULL << 9) ? 9 : \
  131. (n) & (1ULL << 8) ? 8 : \
  132. (n) & (1ULL << 7) ? 7 : \
  133. (n) & (1ULL << 6) ? 6 : \
  134. (n) & (1ULL << 5) ? 5 : \
  135. (n) & (1ULL << 4) ? 4 : \
  136. (n) & (1ULL << 3) ? 3 : \
  137. (n) & (1ULL << 2) ? 2 : \
  138. (n) & (1ULL << 1) ? 1 : \
  139. (n) & (1ULL << 0) ? 0 : \
  140. ____ilog2_NaN() \
  141. ) : \
  142. (sizeof(n) <= 4) ? \
  143. __ilog2_u32(n) : \
  144. __ilog2_u64(n) \
  145. )
  146. /**
  147. * roundup_pow_of_two - round the given value up to nearest power of two
  148. * @n - parameter
  149. *
  150. * round the given value up to the nearest power of two
  151. * - the result is undefined when n == 0
  152. * - this can be used to initialise global variables from constant data
  153. */
  154. #define roundup_pow_of_two(n) \
  155. ( \
  156. __builtin_constant_p(n) ? ( \
  157. (n == 1) ? 1 : \
  158. (1UL << (ilog2((n) - 1) + 1)) \
  159. ) : \
  160. __roundup_pow_of_two(n) \
  161. )
  162. /**
  163. * rounddown_pow_of_two - round the given value down to nearest power of two
  164. * @n - parameter
  165. *
  166. * round the given value down to the nearest power of two
  167. * - the result is undefined when n == 0
  168. * - this can be used to initialise global variables from constant data
  169. */
  170. #define rounddown_pow_of_two(n) \
  171. ( \
  172. __builtin_constant_p(n) ? ( \
  173. (1UL << ilog2(n))) : \
  174. __rounddown_pow_of_two(n) \
  175. )
  176. /**
  177. * order_base_2 - calculate the (rounded up) base 2 order of the argument
  178. * @n: parameter
  179. *
  180. * The first few values calculated by this routine:
  181. * ob2(0) = 0
  182. * ob2(1) = 0
  183. * ob2(2) = 1
  184. * ob2(3) = 2
  185. * ob2(4) = 2
  186. * ob2(5) = 3
  187. * ... and so on.
  188. */
  189. #define order_base_2(n) ilog2(roundup_pow_of_two(n))
  190. #endif /* _LINUX_LOG2_H */