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bits_go18.go (1879B)


      1 // Copyright 2018 Google Inc. All rights reserved.
      2 //
      3 // Licensed under the Apache License, Version 2.0 (the "License");
      4 // you may not use this file except in compliance with the License.
      5 // You may obtain a copy of the License at
      6 //
      7 //     http://www.apache.org/licenses/LICENSE-2.0
      8 //
      9 // Unless required by applicable law or agreed to in writing, software
     10 // distributed under the License is distributed on an "AS IS" BASIS,
     11 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     12 // See the License for the specific language governing permissions and
     13 // limitations under the License.
     14 
     15 // +build !go1.9
     16 
     17 package s2
     18 
     19 // This file is for the bit manipulation code pre-Go 1.9.
     20 
     21 // findMSBSetNonZero64 returns the index (between 0 and 63) of the most
     22 // significant set bit. Passing zero to this function returns zero.
     23 func findMSBSetNonZero64(x uint64) int {
     24 	val := []uint64{0x2, 0xC, 0xF0, 0xFF00, 0xFFFF0000, 0xFFFFFFFF00000000}
     25 	shift := []uint64{1, 2, 4, 8, 16, 32}
     26 	var msbPos uint64
     27 	for i := 5; i >= 0; i-- {
     28 		if x&val[i] != 0 {
     29 			x >>= shift[i]
     30 			msbPos |= shift[i]
     31 		}
     32 	}
     33 	return int(msbPos)
     34 }
     35 
     36 const deBruijn64 = 0x03f79d71b4ca8b09
     37 const digitMask = uint64(1<<64 - 1)
     38 
     39 var deBruijn64Lookup = []byte{
     40 	0, 1, 56, 2, 57, 49, 28, 3, 61, 58, 42, 50, 38, 29, 17, 4,
     41 	62, 47, 59, 36, 45, 43, 51, 22, 53, 39, 33, 30, 24, 18, 12, 5,
     42 	63, 55, 48, 27, 60, 41, 37, 16, 46, 35, 44, 21, 52, 32, 23, 11,
     43 	54, 26, 40, 15, 34, 20, 31, 10, 25, 14, 19, 9, 13, 8, 7, 6,
     44 }
     45 
     46 // findLSBSetNonZero64 returns the index (between 0 and 63) of the least
     47 // significant set bit. Passing zero to this function returns zero.
     48 //
     49 // This code comes from trailingZeroBits in https://golang.org/src/math/big/nat.go
     50 // which references (Knuth, volume 4, section 7.3.1).
     51 func findLSBSetNonZero64(x uint64) int {
     52 	return int(deBruijn64Lookup[((x&-x)*(deBruijn64&digitMask))>>58])
     53 }