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jeff
2019-03-07 17:08:54 +08:00
commit 47bf8820f4
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// Copyright 2015 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 amd64,!appengine,!gccgo
package intsets
func popcnt(x word) int
func havePOPCNT() bool
var hasPOPCNT = havePOPCNT()
// popcount returns the population count (number of set bits) of x.
func popcount(x word) int {
if hasPOPCNT {
return popcnt(x)
}
return popcountTable(x) // faster than Hacker's Delight
}

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// Copyright 2015 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 amd64,!appengine,!gccgo
#include "textflag.h"
// func havePOPCNT() bool
TEXT ·havePOPCNT(SB),4,$0
MOVQ $1, AX
CPUID
SHRQ $23, CX
ANDQ $1, CX
MOVB CX, ret+0(FP)
RET
// func popcnt(word) int
TEXT ·popcnt(SB),NOSPLIT,$0-8
XORQ AX, AX
MOVQ x+0(FP), SI
// POPCNT (SI), AX is not recognized by Go assembler,
// so we assemble it ourselves.
BYTE $0xf3
BYTE $0x48
BYTE $0x0f
BYTE $0xb8
BYTE $0xc6
MOVQ AX, ret+8(FP)
RET

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// Copyright 2015 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 gccgo
package intsets
func popcount(x word) int

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// Copyright 2015 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 gccgo
#include <errno.h>
#include <stdint.h>
#include <unistd.h>
#define _STRINGIFY2_(x) #x
#define _STRINGIFY_(x) _STRINGIFY2_(x)
#define GOSYM_PREFIX _STRINGIFY_(__USER_LABEL_PREFIX__)
extern intptr_t popcount(uintptr_t x) __asm__(GOSYM_PREFIX GOPKGPATH ".popcount");
intptr_t popcount(uintptr_t x) {
return __builtin_popcountl((unsigned long)(x));
}

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// Copyright 2015 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 !amd64 appengine
// +build !gccgo
package intsets
import "runtime"
// We compared three algorithms---Hacker's Delight, table lookup,
// and AMD64's SSE4.1 hardware POPCNT---on a 2.67GHz Xeon X5550.
//
// % GOARCH=amd64 go test -run=NONE -bench=Popcount
// POPCNT 5.12 ns/op
// Table 8.53 ns/op
// HackersDelight 9.96 ns/op
//
// % GOARCH=386 go test -run=NONE -bench=Popcount
// Table 10.4 ns/op
// HackersDelight 5.23 ns/op
//
// (AMD64's ABM1 hardware supports ntz and nlz too,
// but they aren't critical.)
// popcount returns the population count (number of set bits) of x.
func popcount(x word) int {
if runtime.GOARCH == "386" {
return popcountHD(uint32(x))
}
return popcountTable(x)
}

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// Copyright 2013 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 intsets
// From Hacker's Delight, fig 5.2.
func popcountHD(x uint32) int {
x -= (x >> 1) & 0x55555555
x = (x & 0x33333333) + ((x >> 2) & 0x33333333)
x = (x + (x >> 4)) & 0x0f0f0f0f
x = x + (x >> 8)
x = x + (x >> 16)
return int(x & 0x0000003f)
}
var a [1 << 8]byte
func init() {
for i := range a {
var n byte
for x := i; x != 0; x >>= 1 {
if x&1 != 0 {
n++
}
}
a[i] = n
}
}
func popcountTable(x word) int {
return int(a[byte(x>>(0*8))] +
a[byte(x>>(1*8))] +
a[byte(x>>(2*8))] +
a[byte(x>>(3*8))] +
a[byte(x>>(4*8))] +
a[byte(x>>(5*8))] +
a[byte(x>>(6*8))] +
a[byte(x>>(7*8))])
}
// nlz returns the number of leading zeros of x.
// From Hacker's Delight, fig 5.11.
func nlz(x word) int {
x |= (x >> 1)
x |= (x >> 2)
x |= (x >> 4)
x |= (x >> 8)
x |= (x >> 16)
x |= (x >> 32)
return popcount(^x)
}
// ntz returns the number of trailing zeros of x.
// From Hacker's Delight, fig 5.13.
func ntz(x word) int {
if x == 0 {
return bitsPerWord
}
n := 1
if bitsPerWord == 64 {
if (x & 0xffffffff) == 0 {
n = n + 32
x = x >> 32
}
}
if (x & 0x0000ffff) == 0 {
n = n + 16
x = x >> 16
}
if (x & 0x000000ff) == 0 {
n = n + 8
x = x >> 8
}
if (x & 0x0000000f) == 0 {
n = n + 4
x = x >> 4
}
if (x & 0x00000003) == 0 {
n = n + 2
x = x >> 2
}
return n - int(x&1)
}