ctz_compat.go 2.9 KB

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  1. //go:build !go1.9
  2. // +build !go1.9
  3. package roaring
  4. // Reuse of portions of go/src/math/big standard lib code
  5. // under this license:
  6. /*
  7. Copyright (c) 2009 The Go Authors. All rights reserved.
  8. Redistribution and use in source and binary forms, with or without
  9. modification, are permitted provided that the following conditions are
  10. met:
  11. * Redistributions of source code must retain the above copyright
  12. notice, this list of conditions and the following disclaimer.
  13. * Redistributions in binary form must reproduce the above
  14. copyright notice, this list of conditions and the following disclaimer
  15. in the documentation and/or other materials provided with the
  16. distribution.
  17. * Neither the name of Google Inc. nor the names of its
  18. contributors may be used to endorse or promote products derived from
  19. this software without specific prior written permission.
  20. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  21. "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  22. LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
  23. A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
  24. OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  25. SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
  26. LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
  27. DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
  28. THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  29. (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
  30. OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  31. */
  32. const deBruijn32 = 0x077CB531
  33. var deBruijn32Lookup = []byte{
  34. 0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8,
  35. 31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9,
  36. }
  37. const deBruijn64 = 0x03f79d71b4ca8b09
  38. var deBruijn64Lookup = []byte{
  39. 0, 1, 56, 2, 57, 49, 28, 3, 61, 58, 42, 50, 38, 29, 17, 4,
  40. 62, 47, 59, 36, 45, 43, 51, 22, 53, 39, 33, 30, 24, 18, 12, 5,
  41. 63, 55, 48, 27, 60, 41, 37, 16, 46, 35, 44, 21, 52, 32, 23, 11,
  42. 54, 26, 40, 15, 34, 20, 31, 10, 25, 14, 19, 9, 13, 8, 7, 6,
  43. }
  44. // trailingZeroBits returns the number of consecutive least significant zero
  45. // bits of x.
  46. func countTrailingZeros(x uint64) int {
  47. // x & -x leaves only the right-most bit set in the word. Let k be the
  48. // index of that bit. Since only a single bit is set, the value is two
  49. // to the power of k. Multiplying by a power of two is equivalent to
  50. // left shifting, in this case by k bits. The de Bruijn constant is
  51. // such that all six bit, consecutive substrings are distinct.
  52. // Therefore, if we have a left shifted version of this constant we can
  53. // find by how many bits it was shifted by looking at which six bit
  54. // substring ended up at the top of the word.
  55. // (Knuth, volume 4, section 7.3.1)
  56. if x == 0 {
  57. // We have to special case 0; the fomula
  58. // below doesn't work for 0.
  59. return 64
  60. }
  61. return int(deBruijn64Lookup[((x&-x)*(deBruijn64))>>58])
  62. }