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authorIan Lance Taylor <iant@golang.org>2017-09-14 17:11:35 +0000
committerIan Lance Taylor <ian@gcc.gnu.org>2017-09-14 17:11:35 +0000
commitbc998d034f45d1828a8663b2eed928faf22a7d01 (patch)
tree8d262a22ca7318f4bcd64269fe8fe9e45bcf8d0f /libgo/go/math/bits
parenta41a6142df74219f596e612d3a7775f68ca6e96f (diff)
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libgo: update to go1.9
Reviewed-on: https://go-review.googlesource.com/63753 From-SVN: r252767
Diffstat (limited to 'libgo/go/math/bits')
-rw-r--r--libgo/go/math/bits/bits.go330
-rw-r--r--libgo/go/math/bits/bits_tables.go83
-rw-r--r--libgo/go/math/bits/bits_test.go747
-rw-r--r--libgo/go/math/bits/example_test.go80
-rw-r--r--libgo/go/math/bits/make_tables.go92
5 files changed, 1332 insertions, 0 deletions
diff --git a/libgo/go/math/bits/bits.go b/libgo/go/math/bits/bits.go
new file mode 100644
index 0000000..989baac
--- /dev/null
+++ b/libgo/go/math/bits/bits.go
@@ -0,0 +1,330 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+//go:generate go run make_tables.go
+
+// Package bits implements bit counting and manipulation
+// functions for the predeclared unsigned integer types.
+package bits
+
+const uintSize = 32 << (^uint(0) >> 32 & 1) // 32 or 64
+
+// UintSize is the size of a uint in bits.
+const UintSize = uintSize
+
+// --- LeadingZeros ---
+
+// LeadingZeros returns the number of leading zero bits in x; the result is UintSize for x == 0.
+func LeadingZeros(x uint) int { return UintSize - Len(x) }
+
+// LeadingZeros8 returns the number of leading zero bits in x; the result is 8 for x == 0.
+func LeadingZeros8(x uint8) int { return 8 - Len8(x) }
+
+// LeadingZeros16 returns the number of leading zero bits in x; the result is 16 for x == 0.
+func LeadingZeros16(x uint16) int { return 16 - Len16(x) }
+
+// LeadingZeros32 returns the number of leading zero bits in x; the result is 32 for x == 0.
+func LeadingZeros32(x uint32) int { return 32 - Len32(x) }
+
+// LeadingZeros64 returns the number of leading zero bits in x; the result is 64 for x == 0.
+func LeadingZeros64(x uint64) int { return 64 - Len64(x) }
+
+// --- TrailingZeros ---
+
+// See http://supertech.csail.mit.edu/papers/debruijn.pdf
+const deBruijn32 = 0x077CB531
+
+var deBruijn32tab = [32]byte{
+ 0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8,
+ 31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9,
+}
+
+const deBruijn64 = 0x03f79d71b4ca8b09
+
+var deBruijn64tab = [64]byte{
+ 0, 1, 56, 2, 57, 49, 28, 3, 61, 58, 42, 50, 38, 29, 17, 4,
+ 62, 47, 59, 36, 45, 43, 51, 22, 53, 39, 33, 30, 24, 18, 12, 5,
+ 63, 55, 48, 27, 60, 41, 37, 16, 46, 35, 44, 21, 52, 32, 23, 11,
+ 54, 26, 40, 15, 34, 20, 31, 10, 25, 14, 19, 9, 13, 8, 7, 6,
+}
+
+// TrailingZeros returns the number of trailing zero bits in x; the result is UintSize for x == 0.
+func TrailingZeros(x uint) int {
+ if UintSize == 32 {
+ return TrailingZeros32(uint32(x))
+ }
+ return TrailingZeros64(uint64(x))
+}
+
+// TrailingZeros8 returns the number of trailing zero bits in x; the result is 8 for x == 0.
+func TrailingZeros8(x uint8) int {
+ return int(ntz8tab[x])
+}
+
+// TrailingZeros16 returns the number of trailing zero bits in x; the result is 16 for x == 0.
+func TrailingZeros16(x uint16) (n int) {
+ if x == 0 {
+ return 16
+ }
+ // see comment in TrailingZeros64
+ return int(deBruijn32tab[uint32(x&-x)*deBruijn32>>(32-5)])
+}
+
+// TrailingZeros32 returns the number of trailing zero bits in x; the result is 32 for x == 0.
+func TrailingZeros32(x uint32) int {
+ if x == 0 {
+ return 32
+ }
+ // see comment in TrailingZeros64
+ return int(deBruijn32tab[(x&-x)*deBruijn32>>(32-5)])
+}
+
+// TrailingZeros64 returns the number of trailing zero bits in x; the result is 64 for x == 0.
+func TrailingZeros64(x uint64) int {
+ if x == 0 {
+ return 64
+ }
+ // If popcount is fast, replace code below with return popcount(^x & (x - 1)).
+ //
+ // x & -x leaves only the right-most bit set in the word. Let k be the
+ // index of that bit. Since only a single bit is set, the value is two
+ // to the power of k. Multiplying by a power of two is equivalent to
+ // left shifting, in this case by k bits. The de Bruijn (64 bit) constant
+ // is such that all six bit, consecutive substrings are distinct.
+ // Therefore, if we have a left shifted version of this constant we can
+ // find by how many bits it was shifted by looking at which six bit
+ // substring ended up at the top of the word.
+ // (Knuth, volume 4, section 7.3.1)
+ return int(deBruijn64tab[(x&-x)*deBruijn64>>(64-6)])
+}
+
+// --- OnesCount ---
+
+const m0 = 0x5555555555555555 // 01010101 ...
+const m1 = 0x3333333333333333 // 00110011 ...
+const m2 = 0x0f0f0f0f0f0f0f0f // 00001111 ...
+const m3 = 0x00ff00ff00ff00ff // etc.
+const m4 = 0x0000ffff0000ffff
+
+// OnesCount returns the number of one bits ("population count") in x.
+func OnesCount(x uint) int {
+ if UintSize == 32 {
+ return OnesCount32(uint32(x))
+ }
+ return OnesCount64(uint64(x))
+}
+
+// OnesCount8 returns the number of one bits ("population count") in x.
+func OnesCount8(x uint8) int {
+ return int(pop8tab[x])
+}
+
+// OnesCount16 returns the number of one bits ("population count") in x.
+func OnesCount16(x uint16) int {
+ return int(pop8tab[x>>8] + pop8tab[x&0xff])
+}
+
+// OnesCount32 returns the number of one bits ("population count") in x.
+func OnesCount32(x uint32) int {
+ return int(pop8tab[x>>24] + pop8tab[x>>16&0xff] + pop8tab[x>>8&0xff] + pop8tab[x&0xff])
+}
+
+// OnesCount64 returns the number of one bits ("population count") in x.
+func OnesCount64(x uint64) int {
+ // Implementation: Parallel summing of adjacent bits.
+ // See "Hacker's Delight", Chap. 5: Counting Bits.
+ // The following pattern shows the general approach:
+ //
+ // x = x>>1&(m0&m) + x&(m0&m)
+ // x = x>>2&(m1&m) + x&(m1&m)
+ // x = x>>4&(m2&m) + x&(m2&m)
+ // x = x>>8&(m3&m) + x&(m3&m)
+ // x = x>>16&(m4&m) + x&(m4&m)
+ // x = x>>32&(m5&m) + x&(m5&m)
+ // return int(x)
+ //
+ // Masking (& operations) can be left away when there's no
+ // danger that a field's sum will carry over into the next
+ // field: Since the result cannot be > 64, 8 bits is enough
+ // and we can ignore the masks for the shifts by 8 and up.
+ // Per "Hacker's Delight", the first line can be simplified
+ // more, but it saves at best one instruction, so we leave
+ // it alone for clarity.
+ const m = 1<<64 - 1
+ x = x>>1&(m0&m) + x&(m0&m)
+ x = x>>2&(m1&m) + x&(m1&m)
+ x = (x>>4 + x) & (m2 & m)
+ x += x >> 8
+ x += x >> 16
+ x += x >> 32
+ return int(x) & (1<<7 - 1)
+}
+
+// --- RotateLeft ---
+
+// RotateLeft returns the value of x rotated left by (k mod UintSize) bits.
+// To rotate x right by k bits, call RotateLeft(x, -k).
+func RotateLeft(x uint, k int) uint {
+ if UintSize == 32 {
+ return uint(RotateLeft32(uint32(x), k))
+ }
+ return uint(RotateLeft64(uint64(x), k))
+}
+
+// RotateLeft8 returns the value of x rotated left by (k mod 8) bits.
+// To rotate x right by k bits, call RotateLeft8(x, -k).
+func RotateLeft8(x uint8, k int) uint8 {
+ const n = 8
+ s := uint(k) & (n - 1)
+ return x<<s | x>>(n-s)
+}
+
+// RotateLeft16 returns the value of x rotated left by (k mod 16) bits.
+// To rotate x right by k bits, call RotateLeft16(x, -k).
+func RotateLeft16(x uint16, k int) uint16 {
+ const n = 16
+ s := uint(k) & (n - 1)
+ return x<<s | x>>(n-s)
+}
+
+// RotateLeft32 returns the value of x rotated left by (k mod 32) bits.
+// To rotate x right by k bits, call RotateLeft32(x, -k).
+func RotateLeft32(x uint32, k int) uint32 {
+ const n = 32
+ s := uint(k) & (n - 1)
+ return x<<s | x>>(n-s)
+}
+
+// RotateLeft64 returns the value of x rotated left by (k mod 64) bits.
+// To rotate x right by k bits, call RotateLeft64(x, -k).
+func RotateLeft64(x uint64, k int) uint64 {
+ const n = 64
+ s := uint(k) & (n - 1)
+ return x<<s | x>>(n-s)
+}
+
+// --- Reverse ---
+
+// Reverse returns the value of x with its bits in reversed order.
+func Reverse(x uint) uint {
+ if UintSize == 32 {
+ return uint(Reverse32(uint32(x)))
+ }
+ return uint(Reverse64(uint64(x)))
+}
+
+// Reverse8 returns the value of x with its bits in reversed order.
+func Reverse8(x uint8) uint8 {
+ return rev8tab[x]
+}
+
+// Reverse16 returns the value of x with its bits in reversed order.
+func Reverse16(x uint16) uint16 {
+ return uint16(rev8tab[x>>8]) | uint16(rev8tab[x&0xff])<<8
+}
+
+// Reverse32 returns the value of x with its bits in reversed order.
+func Reverse32(x uint32) uint32 {
+ const m = 1<<32 - 1
+ x = x>>1&(m0&m) | x&(m0&m)<<1
+ x = x>>2&(m1&m) | x&(m1&m)<<2
+ x = x>>4&(m2&m) | x&(m2&m)<<4
+ x = x>>8&(m3&m) | x&(m3&m)<<8
+ return x>>16 | x<<16
+}
+
+// Reverse64 returns the value of x with its bits in reversed order.
+func Reverse64(x uint64) uint64 {
+ const m = 1<<64 - 1
+ x = x>>1&(m0&m) | x&(m0&m)<<1
+ x = x>>2&(m1&m) | x&(m1&m)<<2
+ x = x>>4&(m2&m) | x&(m2&m)<<4
+ x = x>>8&(m3&m) | x&(m3&m)<<8
+ x = x>>16&(m4&m) | x&(m4&m)<<16
+ return x>>32 | x<<32
+}
+
+// --- ReverseBytes ---
+
+// ReverseBytes returns the value of x with its bytes in reversed order.
+func ReverseBytes(x uint) uint {
+ if UintSize == 32 {
+ return uint(ReverseBytes32(uint32(x)))
+ }
+ return uint(ReverseBytes64(uint64(x)))
+}
+
+// ReverseBytes16 returns the value of x with its bytes in reversed order.
+func ReverseBytes16(x uint16) uint16 {
+ return x>>8 | x<<8
+}
+
+// ReverseBytes32 returns the value of x with its bytes in reversed order.
+func ReverseBytes32(x uint32) uint32 {
+ const m = 1<<32 - 1
+ x = x>>8&(m3&m) | x&(m3&m)<<8
+ return x>>16 | x<<16
+}
+
+// ReverseBytes64 returns the value of x with its bytes in reversed order.
+func ReverseBytes64(x uint64) uint64 {
+ const m = 1<<64 - 1
+ x = x>>8&(m3&m) | x&(m3&m)<<8
+ x = x>>16&(m4&m) | x&(m4&m)<<16
+ return x>>32 | x<<32
+}
+
+// --- Len ---
+
+// Len returns the minimum number of bits required to represent x; the result is 0 for x == 0.
+func Len(x uint) int {
+ if UintSize == 32 {
+ return Len32(uint32(x))
+ }
+ return Len64(uint64(x))
+}
+
+// Len8 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
+func Len8(x uint8) int {
+ return int(len8tab[x])
+}
+
+// Len16 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
+func Len16(x uint16) (n int) {
+ if x >= 1<<8 {
+ x >>= 8
+ n = 8
+ }
+ return n + int(len8tab[x])
+}
+
+// Len32 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
+func Len32(x uint32) (n int) {
+ if x >= 1<<16 {
+ x >>= 16
+ n = 16
+ }
+ if x >= 1<<8 {
+ x >>= 8
+ n += 8
+ }
+ return n + int(len8tab[x])
+}
+
+// Len64 returns the minimum number of bits required to represent x; the result is 0 for x == 0.
+func Len64(x uint64) (n int) {
+ if x >= 1<<32 {
+ x >>= 32
+ n = 32
+ }
+ if x >= 1<<16 {
+ x >>= 16
+ n += 16
+ }
+ if x >= 1<<8 {
+ x >>= 8
+ n += 8
+ }
+ return n + int(len8tab[x])
+}
diff --git a/libgo/go/math/bits/bits_tables.go b/libgo/go/math/bits/bits_tables.go
new file mode 100644
index 0000000..f1e15a0
--- /dev/null
+++ b/libgo/go/math/bits/bits_tables.go
@@ -0,0 +1,83 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Code generated by go run make_tables.go. DO NOT EDIT.
+
+package bits
+
+var ntz8tab = [256]uint8{
+ 0x08, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x06, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x07, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x06, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x05, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+ 0x04, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00, 0x03, 0x00, 0x01, 0x00, 0x02, 0x00, 0x01, 0x00,
+}
+
+var pop8tab = [256]uint8{
+ 0x00, 0x01, 0x01, 0x02, 0x01, 0x02, 0x02, 0x03, 0x01, 0x02, 0x02, 0x03, 0x02, 0x03, 0x03, 0x04,
+ 0x01, 0x02, 0x02, 0x03, 0x02, 0x03, 0x03, 0x04, 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05,
+ 0x01, 0x02, 0x02, 0x03, 0x02, 0x03, 0x03, 0x04, 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05,
+ 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05, 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06,
+ 0x01, 0x02, 0x02, 0x03, 0x02, 0x03, 0x03, 0x04, 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05,
+ 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05, 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06,
+ 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05, 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06,
+ 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06, 0x04, 0x05, 0x05, 0x06, 0x05, 0x06, 0x06, 0x07,
+ 0x01, 0x02, 0x02, 0x03, 0x02, 0x03, 0x03, 0x04, 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05,
+ 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05, 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06,
+ 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05, 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06,
+ 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06, 0x04, 0x05, 0x05, 0x06, 0x05, 0x06, 0x06, 0x07,
+ 0x02, 0x03, 0x03, 0x04, 0x03, 0x04, 0x04, 0x05, 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06,
+ 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06, 0x04, 0x05, 0x05, 0x06, 0x05, 0x06, 0x06, 0x07,
+ 0x03, 0x04, 0x04, 0x05, 0x04, 0x05, 0x05, 0x06, 0x04, 0x05, 0x05, 0x06, 0x05, 0x06, 0x06, 0x07,
+ 0x04, 0x05, 0x05, 0x06, 0x05, 0x06, 0x06, 0x07, 0x05, 0x06, 0x06, 0x07, 0x06, 0x07, 0x07, 0x08,
+}
+
+var rev8tab = [256]uint8{
+ 0x00, 0x80, 0x40, 0xc0, 0x20, 0xa0, 0x60, 0xe0, 0x10, 0x90, 0x50, 0xd0, 0x30, 0xb0, 0x70, 0xf0,
+ 0x08, 0x88, 0x48, 0xc8, 0x28, 0xa8, 0x68, 0xe8, 0x18, 0x98, 0x58, 0xd8, 0x38, 0xb8, 0x78, 0xf8,
+ 0x04, 0x84, 0x44, 0xc4, 0x24, 0xa4, 0x64, 0xe4, 0x14, 0x94, 0x54, 0xd4, 0x34, 0xb4, 0x74, 0xf4,
+ 0x0c, 0x8c, 0x4c, 0xcc, 0x2c, 0xac, 0x6c, 0xec, 0x1c, 0x9c, 0x5c, 0xdc, 0x3c, 0xbc, 0x7c, 0xfc,
+ 0x02, 0x82, 0x42, 0xc2, 0x22, 0xa2, 0x62, 0xe2, 0x12, 0x92, 0x52, 0xd2, 0x32, 0xb2, 0x72, 0xf2,
+ 0x0a, 0x8a, 0x4a, 0xca, 0x2a, 0xaa, 0x6a, 0xea, 0x1a, 0x9a, 0x5a, 0xda, 0x3a, 0xba, 0x7a, 0xfa,
+ 0x06, 0x86, 0x46, 0xc6, 0x26, 0xa6, 0x66, 0xe6, 0x16, 0x96, 0x56, 0xd6, 0x36, 0xb6, 0x76, 0xf6,
+ 0x0e, 0x8e, 0x4e, 0xce, 0x2e, 0xae, 0x6e, 0xee, 0x1e, 0x9e, 0x5e, 0xde, 0x3e, 0xbe, 0x7e, 0xfe,
+ 0x01, 0x81, 0x41, 0xc1, 0x21, 0xa1, 0x61, 0xe1, 0x11, 0x91, 0x51, 0xd1, 0x31, 0xb1, 0x71, 0xf1,
+ 0x09, 0x89, 0x49, 0xc9, 0x29, 0xa9, 0x69, 0xe9, 0x19, 0x99, 0x59, 0xd9, 0x39, 0xb9, 0x79, 0xf9,
+ 0x05, 0x85, 0x45, 0xc5, 0x25, 0xa5, 0x65, 0xe5, 0x15, 0x95, 0x55, 0xd5, 0x35, 0xb5, 0x75, 0xf5,
+ 0x0d, 0x8d, 0x4d, 0xcd, 0x2d, 0xad, 0x6d, 0xed, 0x1d, 0x9d, 0x5d, 0xdd, 0x3d, 0xbd, 0x7d, 0xfd,
+ 0x03, 0x83, 0x43, 0xc3, 0x23, 0xa3, 0x63, 0xe3, 0x13, 0x93, 0x53, 0xd3, 0x33, 0xb3, 0x73, 0xf3,
+ 0x0b, 0x8b, 0x4b, 0xcb, 0x2b, 0xab, 0x6b, 0xeb, 0x1b, 0x9b, 0x5b, 0xdb, 0x3b, 0xbb, 0x7b, 0xfb,
+ 0x07, 0x87, 0x47, 0xc7, 0x27, 0xa7, 0x67, 0xe7, 0x17, 0x97, 0x57, 0xd7, 0x37, 0xb7, 0x77, 0xf7,
+ 0x0f, 0x8f, 0x4f, 0xcf, 0x2f, 0xaf, 0x6f, 0xef, 0x1f, 0x9f, 0x5f, 0xdf, 0x3f, 0xbf, 0x7f, 0xff,
+}
+
+var len8tab = [256]uint8{
+ 0x00, 0x01, 0x02, 0x02, 0x03, 0x03, 0x03, 0x03, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04, 0x04,
+ 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05, 0x05,
+ 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06,
+ 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06, 0x06,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07, 0x07,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+ 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08, 0x08,
+}
diff --git a/libgo/go/math/bits/bits_test.go b/libgo/go/math/bits/bits_test.go
new file mode 100644
index 0000000..ba05210
--- /dev/null
+++ b/libgo/go/math/bits/bits_test.go
@@ -0,0 +1,747 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+package bits
+
+import (
+ "testing"
+ "unsafe"
+)
+
+func TestUintSize(t *testing.T) {
+ var x uint
+ if want := unsafe.Sizeof(x) * 8; UintSize != want {
+ t.Fatalf("UintSize = %d; want %d", UintSize, want)
+ }
+}
+
+func TestLeadingZeros(t *testing.T) {
+ for i := 0; i < 256; i++ {
+ nlz := tab[i].nlz
+ for k := 0; k < 64-8; k++ {
+ x := uint64(i) << uint(k)
+ if x <= 1<<8-1 {
+ got := LeadingZeros8(uint8(x))
+ want := nlz - k + (8 - 8)
+ if x == 0 {
+ want = 8
+ }
+ if got != want {
+ t.Fatalf("LeadingZeros8(%#02x) == %d; want %d", x, got, want)
+ }
+ }
+
+ if x <= 1<<16-1 {
+ got := LeadingZeros16(uint16(x))
+ want := nlz - k + (16 - 8)
+ if x == 0 {
+ want = 16
+ }
+ if got != want {
+ t.Fatalf("LeadingZeros16(%#04x) == %d; want %d", x, got, want)
+ }
+ }
+
+ if x <= 1<<32-1 {
+ got := LeadingZeros32(uint32(x))
+ want := nlz - k + (32 - 8)
+ if x == 0 {
+ want = 32
+ }
+ if got != want {
+ t.Fatalf("LeadingZeros32(%#08x) == %d; want %d", x, got, want)
+ }
+ if UintSize == 32 {
+ got = LeadingZeros(uint(x))
+ if got != want {
+ t.Fatalf("LeadingZeros(%#08x) == %d; want %d", x, got, want)
+ }
+ }
+ }
+
+ if x <= 1<<64-1 {
+ got := LeadingZeros64(uint64(x))
+ want := nlz - k + (64 - 8)
+ if x == 0 {
+ want = 64
+ }
+ if got != want {
+ t.Fatalf("LeadingZeros64(%#016x) == %d; want %d", x, got, want)
+ }
+ if UintSize == 64 {
+ got = LeadingZeros(uint(x))
+ if got != want {
+ t.Fatalf("LeadingZeros(%#016x) == %d; want %d", x, got, want)
+ }
+ }
+ }
+ }
+ }
+}
+
+// Exported (global) variable serving as input for some
+// of the benchmarks to ensure side-effect free calls
+// are not optimized away.
+var Input uint64 = deBruijn64
+
+// Exported (global) variable to store function results
+// during benchmarking to ensure side-effect free calls
+// are not optimized away.
+var Output int
+
+func BenchmarkLeadingZeros(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += LeadingZeros(uint(Input) >> (uint(i) % UintSize))
+ }
+ Output = s
+}
+
+func BenchmarkLeadingZeros8(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += LeadingZeros8(uint8(Input) >> (uint(i) % 8))
+ }
+ Output = s
+}
+
+func BenchmarkLeadingZeros16(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += LeadingZeros16(uint16(Input) >> (uint(i) % 16))
+ }
+ Output = s
+}
+
+func BenchmarkLeadingZeros32(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += LeadingZeros32(uint32(Input) >> (uint(i) % 32))
+ }
+ Output = s
+}
+
+func BenchmarkLeadingZeros64(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += LeadingZeros64(uint64(Input) >> (uint(i) % 64))
+ }
+ Output = s
+}
+
+func TestTrailingZeros(t *testing.T) {
+ for i := 0; i < 256; i++ {
+ ntz := tab[i].ntz
+ for k := 0; k < 64-8; k++ {
+ x := uint64(i) << uint(k)
+ want := ntz + k
+ if x <= 1<<8-1 {
+ got := TrailingZeros8(uint8(x))
+ if x == 0 {
+ want = 8
+ }
+ if got != want {
+ t.Fatalf("TrailingZeros8(%#02x) == %d; want %d", x, got, want)
+ }
+ }
+
+ if x <= 1<<16-1 {
+ got := TrailingZeros16(uint16(x))
+ if x == 0 {
+ want = 16
+ }
+ if got != want {
+ t.Fatalf("TrailingZeros16(%#04x) == %d; want %d", x, got, want)
+ }
+ }
+
+ if x <= 1<<32-1 {
+ got := TrailingZeros32(uint32(x))
+ if x == 0 {
+ want = 32
+ }
+ if got != want {
+ t.Fatalf("TrailingZeros32(%#08x) == %d; want %d", x, got, want)
+ }
+ if UintSize == 32 {
+ got = TrailingZeros(uint(x))
+ if got != want {
+ t.Fatalf("TrailingZeros(%#08x) == %d; want %d", x, got, want)
+ }
+ }
+ }
+
+ if x <= 1<<64-1 {
+ got := TrailingZeros64(uint64(x))
+ if x == 0 {
+ want = 64
+ }
+ if got != want {
+ t.Fatalf("TrailingZeros64(%#016x) == %d; want %d", x, got, want)
+ }
+ if UintSize == 64 {
+ got = TrailingZeros(uint(x))
+ if got != want {
+ t.Fatalf("TrailingZeros(%#016x) == %d; want %d", x, got, want)
+ }
+ }
+ }
+ }
+ }
+}
+
+func BenchmarkTrailingZeros(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += TrailingZeros(uint(Input) << (uint(i) % UintSize))
+ }
+ Output = s
+}
+
+func BenchmarkTrailingZeros8(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += TrailingZeros8(uint8(Input) << (uint(i) % 8))
+ }
+ Output = s
+}
+
+func BenchmarkTrailingZeros16(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += TrailingZeros16(uint16(Input) << (uint(i) % 16))
+ }
+ Output = s
+}
+
+func BenchmarkTrailingZeros32(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += TrailingZeros32(uint32(Input) << (uint(i) % 32))
+ }
+ Output = s
+}
+
+func BenchmarkTrailingZeros64(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += TrailingZeros64(uint64(Input) << (uint(i) % 64))
+ }
+ Output = s
+}
+
+func TestOnesCount(t *testing.T) {
+ var x uint64
+ for i := 0; i <= 64; i++ {
+ testOnesCount(t, x, i)
+ x = x<<1 | 1
+ }
+
+ for i := 64; i >= 0; i-- {
+ testOnesCount(t, x, i)
+ x = x << 1
+ }
+
+ for i := 0; i < 256; i++ {
+ for k := 0; k < 64-8; k++ {
+ testOnesCount(t, uint64(i)<<uint(k), tab[i].pop)
+ }
+ }
+}
+
+func testOnesCount(t *testing.T, x uint64, want int) {
+ if x <= 1<<8-1 {
+ got := OnesCount8(uint8(x))
+ if got != want {
+ t.Fatalf("OnesCount8(%#02x) == %d; want %d", uint8(x), got, want)
+ }
+ }
+
+ if x <= 1<<16-1 {
+ got := OnesCount16(uint16(x))
+ if got != want {
+ t.Fatalf("OnesCount16(%#04x) == %d; want %d", uint16(x), got, want)
+ }
+ }
+
+ if x <= 1<<32-1 {
+ got := OnesCount32(uint32(x))
+ if got != want {
+ t.Fatalf("OnesCount32(%#08x) == %d; want %d", uint32(x), got, want)
+ }
+ if UintSize == 32 {
+ got = OnesCount(uint(x))
+ if got != want {
+ t.Fatalf("OnesCount(%#08x) == %d; want %d", uint32(x), got, want)
+ }
+ }
+ }
+
+ if x <= 1<<64-1 {
+ got := OnesCount64(uint64(x))
+ if got != want {
+ t.Fatalf("OnesCount64(%#016x) == %d; want %d", x, got, want)
+ }
+ if UintSize == 64 {
+ got = OnesCount(uint(x))
+ if got != want {
+ t.Fatalf("OnesCount(%#016x) == %d; want %d", x, got, want)
+ }
+ }
+ }
+}
+
+func BenchmarkOnesCount(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += OnesCount(uint(Input))
+ }
+ Output = s
+}
+
+func BenchmarkOnesCount8(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += OnesCount8(uint8(Input))
+ }
+ Output = s
+}
+
+func BenchmarkOnesCount16(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += OnesCount16(uint16(Input))
+ }
+ Output = s
+}
+
+func BenchmarkOnesCount32(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += OnesCount32(uint32(Input))
+ }
+ Output = s
+}
+
+func BenchmarkOnesCount64(b *testing.B) {
+ var s int
+ for i := 0; i < b.N; i++ {
+ s += OnesCount64(uint64(Input))
+ }
+ Output = s
+}
+
+func TestRotateLeft(t *testing.T) {
+ var m uint64 = deBruijn64
+
+ for k := uint(0); k < 128; k++ {
+ x8 := uint8(m)
+ got8 := RotateLeft8(x8, int(k))
+ want8 := x8<<(k&0x7) | x8>>(8-k&0x7)
+ if got8 != want8 {
+ t.Fatalf("RotateLeft8(%#02x, %d) == %#02x; want %#02x", x8, k, got8, want8)
+ }
+ got8 = RotateLeft8(want8, -int(k))
+ if got8 != x8 {
+ t.Fatalf("RotateLeft8(%#02x, -%d) == %#02x; want %#02x", want8, k, got8, x8)
+ }
+
+ x16 := uint16(m)
+ got16 := RotateLeft16(x16, int(k))
+ want16 := x16<<(k&0xf) | x16>>(16-k&0xf)
+ if got16 != want16 {
+ t.Fatalf("RotateLeft16(%#04x, %d) == %#04x; want %#04x", x16, k, got16, want16)
+ }
+ got16 = RotateLeft16(want16, -int(k))
+ if got16 != x16 {
+ t.Fatalf("RotateLeft16(%#04x, -%d) == %#04x; want %#04x", want16, k, got16, x16)
+ }
+
+ x32 := uint32(m)
+ got32 := RotateLeft32(x32, int(k))
+ want32 := x32<<(k&0x1f) | x32>>(32-k&0x1f)
+ if got32 != want32 {
+ t.Fatalf("RotateLeft32(%#08x, %d) == %#08x; want %#08x", x32, k, got32, want32)
+ }
+ got32 = RotateLeft32(want32, -int(k))
+ if got32 != x32 {
+ t.Fatalf("RotateLeft32(%#08x, -%d) == %#08x; want %#08x", want32, k, got32, x32)
+ }
+ if UintSize == 32 {
+ x := uint(m)
+ got := RotateLeft(x, int(k))
+ want := x<<(k&0x1f) | x>>(32-k&0x1f)
+ if got != want {
+ t.Fatalf("RotateLeft(%#08x, %d) == %#08x; want %#08x", x, k, got, want)
+ }
+ got = RotateLeft(want, -int(k))
+ if got != x {
+ t.Fatalf("RotateLeft(%#08x, -%d) == %#08x; want %#08x", want, k, got, x)
+ }
+ }
+
+ x64 := uint64(m)
+ got64 := RotateLeft64(x64, int(k))
+ want64 := x64<<(k&0x3f) | x64>>(64-k&0x3f)
+ if got64 != want64 {
+ t.Fatalf("RotateLeft64(%#016x, %d) == %#016x; want %#016x", x64, k, got64, want64)
+ }
+ got64 = RotateLeft64(want64, -int(k))
+ if got64 != x64 {
+ t.Fatalf("RotateLeft64(%#016x, -%d) == %#016x; want %#016x", want64, k, got64, x64)
+ }
+ if UintSize == 64 {
+ x := uint(m)
+ got := RotateLeft(x, int(k))
+ want := x<<(k&0x3f) | x>>(64-k&0x3f)
+ if got != want {
+ t.Fatalf("RotateLeft(%#016x, %d) == %#016x; want %#016x", x, k, got, want)
+ }
+ got = RotateLeft(want, -int(k))
+ if got != x {
+ t.Fatalf("RotateLeft(%#08x, -%d) == %#08x; want %#08x", want, k, got, x)
+ }
+ }
+ }
+}
+
+func BenchmarkRotateLeft(b *testing.B) {
+ var s uint
+ for i := 0; i < b.N; i++ {
+ s += RotateLeft(uint(Input), i)
+ }
+ Output = int(s)
+}
+
+func BenchmarkRotateLeft8(b *testing.B) {
+ var s uint8
+ for i := 0; i < b.N; i++ {
+ s += RotateLeft8(uint8(Input), i)
+ }
+ Output = int(s)
+}
+
+func BenchmarkRotateLeft16(b *testing.B) {
+ var s uint16
+ for i := 0; i < b.N; i++ {
+ s += RotateLeft16(uint16(Input), i)
+ }
+ Output = int(s)
+}
+
+func BenchmarkRotateLeft32(b *testing.B) {
+ var s uint32
+ for i := 0; i < b.N; i++ {
+ s += RotateLeft32(uint32(Input), i)
+ }
+ Output = int(s)
+}
+
+func BenchmarkRotateLeft64(b *testing.B) {
+ var s uint64
+ for i := 0; i < b.N; i++ {
+ s += RotateLeft64(uint64(Input), i)
+ }
+ Output = int(s)
+}
+
+func TestReverse(t *testing.T) {
+ // test each bit
+ for i := uint(0); i < 64; i++ {
+ testReverse(t, uint64(1)<<i, uint64(1)<<(63-i))
+ }
+
+ // test a few patterns
+ for _, test := range []struct {
+ x, r uint64
+ }{
+ {0, 0},
+ {0x1, 0x8 << 60},
+ {0x2, 0x4 << 60},
+ {0x3, 0xc << 60},
+ {0x4, 0x2 << 60},
+ {0x5, 0xa << 60},
+ {0x6, 0x6 << 60},
+ {0x7, 0xe << 60},
+ {0x8, 0x1 << 60},
+ {0x9, 0x9 << 60},
+ {0xa, 0x5 << 60},
+ {0xb, 0xd << 60},
+ {0xc, 0x3 << 60},
+ {0xd, 0xb << 60},
+ {0xe, 0x7 << 60},
+ {0xf, 0xf << 60},
+ {0x5686487, 0xe12616a000000000},
+ {0x0123456789abcdef, 0xf7b3d591e6a2c480},
+ } {
+ testReverse(t, test.x, test.r)
+ testReverse(t, test.r, test.x)
+ }
+}
+
+func testReverse(t *testing.T, x64, want64 uint64) {
+ x8 := uint8(x64)
+ got8 := Reverse8(x8)
+ want8 := uint8(want64 >> (64 - 8))
+ if got8 != want8 {
+ t.Fatalf("Reverse8(%#02x) == %#02x; want %#02x", x8, got8, want8)
+ }
+
+ x16 := uint16(x64)
+ got16 := Reverse16(x16)
+ want16 := uint16(want64 >> (64 - 16))
+ if got16 != want16 {
+ t.Fatalf("Reverse16(%#04x) == %#04x; want %#04x", x16, got16, want16)
+ }
+
+ x32 := uint32(x64)
+ got32 := Reverse32(x32)
+ want32 := uint32(want64 >> (64 - 32))
+ if got32 != want32 {
+ t.Fatalf("Reverse32(%#08x) == %#08x; want %#08x", x32, got32, want32)
+ }
+ if UintSize == 32 {
+ x := uint(x32)
+ got := Reverse(x)
+ want := uint(want32)
+ if got != want {
+ t.Fatalf("Reverse(%#08x) == %#08x; want %#08x", x, got, want)
+ }
+ }
+
+ got64 := Reverse64(x64)
+ if got64 != want64 {
+ t.Fatalf("Reverse64(%#016x) == %#016x; want %#016x", x64, got64, want64)
+ }
+ if UintSize == 64 {
+ x := uint(x64)
+ got := Reverse(x)
+ want := uint(want64)
+ if got != want {
+ t.Fatalf("Reverse(%#08x) == %#016x; want %#016x", x, got, want)
+ }
+ }
+}
+
+func BenchmarkReverse(b *testing.B) {
+ var s uint
+ for i := 0; i < b.N; i++ {
+ s += Reverse(uint(i))
+ }
+ Output = int(s)
+}
+
+func BenchmarkReverse8(b *testing.B) {
+ var s uint8
+ for i := 0; i < b.N; i++ {
+ s += Reverse8(uint8(i))
+ }
+ Output = int(s)
+}
+
+func BenchmarkReverse16(b *testing.B) {
+ var s uint16
+ for i := 0; i < b.N; i++ {
+ s += Reverse16(uint16(i))
+ }
+ Output = int(s)
+}
+
+func BenchmarkReverse32(b *testing.B) {
+ var s uint32
+ for i := 0; i < b.N; i++ {
+ s += Reverse32(uint32(i))
+ }
+ Output = int(s)
+}
+
+func BenchmarkReverse64(b *testing.B) {
+ var s uint64
+ for i := 0; i < b.N; i++ {
+ s += Reverse64(uint64(i))
+ }
+ Output = int(s)
+}
+
+func TestReverseBytes(t *testing.T) {
+ for _, test := range []struct {
+ x, r uint64
+ }{
+ {0, 0},
+ {0x01, 0x01 << 56},
+ {0x0123, 0x2301 << 48},
+ {0x012345, 0x452301 << 40},
+ {0x01234567, 0x67452301 << 32},
+ {0x0123456789, 0x8967452301 << 24},
+ {0x0123456789ab, 0xab8967452301 << 16},
+ {0x0123456789abcd, 0xcdab8967452301 << 8},
+ {0x0123456789abcdef, 0xefcdab8967452301 << 0},
+ } {
+ testReverseBytes(t, test.x, test.r)
+ testReverseBytes(t, test.r, test.x)
+ }
+}
+
+func testReverseBytes(t *testing.T, x64, want64 uint64) {
+ x16 := uint16(x64)
+ got16 := ReverseBytes16(x16)
+ want16 := uint16(want64 >> (64 - 16))
+ if got16 != want16 {
+ t.Fatalf("ReverseBytes16(%#04x) == %#04x; want %#04x", x16, got16, want16)
+ }
+
+ x32 := uint32(x64)
+ got32 := ReverseBytes32(x32)
+ want32 := uint32(want64 >> (64 - 32))
+ if got32 != want32 {
+ t.Fatalf("ReverseBytes32(%#08x) == %#08x; want %#08x", x32, got32, want32)
+ }
+ if UintSize == 32 {
+ x := uint(x32)
+ got := ReverseBytes(x)
+ want := uint(want32)
+ if got != want {
+ t.Fatalf("ReverseBytes(%#08x) == %#08x; want %#08x", x, got, want)
+ }
+ }
+
+ got64 := ReverseBytes64(x64)
+ if got64 != want64 {
+ t.Fatalf("ReverseBytes64(%#016x) == %#016x; want %#016x", x64, got64, want64)
+ }
+ if UintSize == 64 {
+ x := uint(x64)
+ got := ReverseBytes(x)
+ want := uint(want64)
+ if got != want {
+ t.Fatalf("ReverseBytes(%#016x) == %#016x; want %#016x", x, got, want)
+ }
+ }
+}
+
+func BenchmarkReverseBytes(b *testing.B) {
+ var s uint
+ for i := 0; i < b.N; i++ {
+ s += ReverseBytes(uint(i))
+ }
+ Output = int(s)
+}
+
+func BenchmarkReverseBytes16(b *testing.B) {
+ var s uint16
+ for i := 0; i < b.N; i++ {
+ s += ReverseBytes16(uint16(i))
+ }
+ Output = int(s)
+}
+
+func BenchmarkReverseBytes32(b *testing.B) {
+ var s uint32
+ for i := 0; i < b.N; i++ {
+ s += ReverseBytes32(uint32(i))
+ }
+ Output = int(s)
+}
+
+func BenchmarkReverseBytes64(b *testing.B) {
+ var s uint64
+ for i := 0; i < b.N; i++ {
+ s += ReverseBytes64(uint64(i))
+ }
+ Output = int(s)
+}
+
+func TestLen(t *testing.T) {
+ for i := 0; i < 256; i++ {
+ len := 8 - tab[i].nlz
+ for k := 0; k < 64-8; k++ {
+ x := uint64(i) << uint(k)
+ want := 0
+ if x != 0 {
+ want = len + k
+ }
+ if x <= 1<<8-1 {
+ got := Len8(uint8(x))
+ if got != want {
+ t.Fatalf("Len8(%#02x) == %d; want %d", x, got, want)
+ }
+ }
+
+ if x <= 1<<16-1 {
+ got := Len16(uint16(x))
+ if got != want {
+ t.Fatalf("Len16(%#04x) == %d; want %d", x, got, want)
+ }
+ }
+
+ if x <= 1<<32-1 {
+ got := Len32(uint32(x))
+ if got != want {
+ t.Fatalf("Len32(%#08x) == %d; want %d", x, got, want)
+ }
+ if UintSize == 32 {
+ got := Len(uint(x))
+ if got != want {
+ t.Fatalf("Len(%#08x) == %d; want %d", x, got, want)
+ }
+ }
+ }
+
+ if x <= 1<<64-1 {
+ got := Len64(uint64(x))
+ if got != want {
+ t.Fatalf("Len64(%#016x) == %d; want %d", x, got, want)
+ }
+ if UintSize == 64 {
+ got := Len(uint(x))
+ if got != want {
+ t.Fatalf("Len(%#016x) == %d; want %d", x, got, want)
+ }
+ }
+ }
+ }
+ }
+}
+
+// ----------------------------------------------------------------------------
+// Testing support
+
+type entry = struct {
+ nlz, ntz, pop int
+}
+
+// tab contains results for all uint8 values
+var tab [256]entry
+
+func init() {
+ tab[0] = entry{8, 8, 0}
+ for i := 1; i < len(tab); i++ {
+ // nlz
+ x := i // x != 0
+ n := 0
+ for x&0x80 == 0 {
+ n++
+ x <<= 1
+ }
+ tab[i].nlz = n
+
+ // ntz
+ x = i // x != 0
+ n = 0
+ for x&1 == 0 {
+ n++
+ x >>= 1
+ }
+ tab[i].ntz = n
+
+ // pop
+ x = i // x != 0
+ n = 0
+ for x != 0 {
+ n += int(x & 1)
+ x >>= 1
+ }
+ tab[i].pop = n
+ }
+}
diff --git a/libgo/go/math/bits/example_test.go b/libgo/go/math/bits/example_test.go
new file mode 100644
index 0000000..78750da
--- /dev/null
+++ b/libgo/go/math/bits/example_test.go
@@ -0,0 +1,80 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// +build ignore
+
+package bits_test
+
+import (
+ "fmt"
+ "math/bits"
+)
+
+func ExampleLeadingZeros16() {
+ fmt.Println(bits.LeadingZeros16(0))
+ fmt.Println(bits.LeadingZeros16(1))
+ fmt.Println(bits.LeadingZeros16(256))
+ fmt.Println(bits.LeadingZeros16(65535))
+ // Output:
+ // 16
+ // 15
+ // 7
+ // 0
+}
+
+func ExampleLeadingZeros32() {
+ fmt.Println(bits.LeadingZeros32(0))
+ fmt.Println(bits.LeadingZeros32(1))
+ // Output:
+ // 32
+ // 31
+}
+
+func ExampleLeadingZeros64() {
+ fmt.Println(bits.LeadingZeros64(0))
+ fmt.Println(bits.LeadingZeros64(1))
+ // Output:
+ // 64
+ // 63
+}
+
+func ExampleOnesCount() {
+ fmt.Printf("%b\n", 14)
+ fmt.Println(bits.OnesCount(14))
+ // Output:
+ // 1110
+ // 3
+}
+
+func ExampleOnesCount8() {
+ fmt.Printf("%b\n", 14)
+ fmt.Println(bits.OnesCount8(14))
+ // Output:
+ // 1110
+ // 3
+}
+
+func ExampleOnesCount16() {
+ fmt.Printf("%b\n", 14)
+ fmt.Println(bits.OnesCount16(14))
+ // Output:
+ // 1110
+ // 3
+}
+
+func ExampleOnesCount32() {
+ fmt.Printf("%b\n", 14)
+ fmt.Println(bits.OnesCount32(14))
+ // Output:
+ // 1110
+ // 3
+}
+
+func ExampleOnesCount64() {
+ fmt.Printf("%b\n", 14)
+ fmt.Println(bits.OnesCount64(14))
+ // Output:
+ // 1110
+ // 3
+}
diff --git a/libgo/go/math/bits/make_tables.go b/libgo/go/math/bits/make_tables.go
new file mode 100644
index 0000000..ff2fe2e
--- /dev/null
+++ b/libgo/go/math/bits/make_tables.go
@@ -0,0 +1,92 @@
+// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// +build ignore
+
+// This program generates bits_tables.go.
+
+package main
+
+import (
+ "bytes"
+ "fmt"
+ "go/format"
+ "io"
+ "io/ioutil"
+ "log"
+)
+
+var header = []byte(`// Copyright 2017 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+// Code generated by go run make_tables.go. DO NOT EDIT.
+
+package bits
+
+`)
+
+func main() {
+ buf := bytes.NewBuffer(header)
+
+ gen(buf, "ntz8tab", ntz8)
+ gen(buf, "pop8tab", pop8)
+ gen(buf, "rev8tab", rev8)
+ gen(buf, "len8tab", len8)
+
+ out, err := format.Source(buf.Bytes())
+ if err != nil {
+ log.Fatal(err)
+ }
+
+ err = ioutil.WriteFile("bits_tables.go", out, 0666)
+ if err != nil {
+ log.Fatal(err)
+ }
+}
+
+func gen(w io.Writer, name string, f func(uint8) uint8) {
+ fmt.Fprintf(w, "var %s = [256]uint8{", name)
+ for i := 0; i < 256; i++ {
+ if i%16 == 0 {
+ fmt.Fprint(w, "\n\t")
+ } else {
+ fmt.Fprint(w, " ")
+ }
+ fmt.Fprintf(w, "%#02x,", f(uint8(i)))
+ }
+ fmt.Fprint(w, "\n}\n\n")
+}
+
+func ntz8(x uint8) (n uint8) {
+ for x&1 == 0 && n < 8 {
+ x >>= 1
+ n++
+ }
+ return
+}
+
+func pop8(x uint8) (n uint8) {
+ for x != 0 {
+ x &= x - 1
+ n++
+ }
+ return
+}
+
+func rev8(x uint8) (r uint8) {
+ for i := 8; i > 0; i-- {
+ r = r<<1 | x&1
+ x >>= 1
+ }
+ return
+}
+
+func len8(x uint8) (n uint8) {
+ for x != 0 {
+ x >>= 1
+ n++
+ }
+ return
+}