improve popcount

This commit is contained in:
Ryan Culpepper 2012-12-17 15:56:29 -05:00
parent 057a2bd0d2
commit 139c0ca6c7
2 changed files with 29 additions and 12 deletions

View File

@ -91,8 +91,8 @@
bit-vector-copy))
(define (bit-vector-popcount bv)
(for/sum ([fx (in-bytes (bit-vector-words bv))])
(fxpopcount fx)))
(for/sum ([b (in-bytes (bit-vector-words bv))])
(unsafe-fxpopcount* b 8)))
(define (bit-vector->list bv)
(define len (bit-vector-size bv))

View File

@ -1,11 +1,12 @@
#lang racket/base
(require racket/unsafe/ops
(for-syntax racket/base racket/fixnum racket/vector))
(provide fxpopcount)
(provide fxpopcount
unsafe-fxpopcount*)
;; Count set bits for 30 bit number in 5 steps.
;; for 62 bit number in 6.
;; for 62 bit number in 6, for 8 bit numbers in 3
(define-for-syntax lut
(define-for-syntax lut30
#(#x2AAAAAAA
#x0CCCCCCC
#x30F0F0F0
@ -20,15 +21,32 @@
#x3FFF0000FFFF0000
#x3FFFFFFF00000000))
(define-syntax (mk-fxpopcount stx)
(define-for-syntax lut8
#(#xAA
#xCC
#xF0))
(define-syntax (define-fxpopcount stx)
(syntax-case stx ()
[(_ name)
[(_ name bits)
#'(define (name n)
(unless (fixnum? n) (raise-argument-error 'name "fixnum?" 0 n))
(unsafe-fxpopcount* n bits))]))
(define-syntax (unsafe-fxpopcount* stx)
(syntax-case stx ()
[(_ expr bits0)
;; Choose at compile time what word length is
(let* ([lut (if (fixnum? (expt 2 61)) lut62 lut)]
(let* ([bits (syntax-e #'bits0)]
[bits (or bits (if (fixnum? (expt 2 61)) 62 30))]
[lut
(cond [(<= bits 8) lut8]
[(<= bits 30) lut30]
[(<= bits 62) lut62]
[else (raise-syntax-error "bit width too big" stx #'bits0)])]
[flut (vector-map bitwise-not lut)])
;; Unroll the addition loop
#`(define (name n)
(unless (fixnum? n) (raise-argument-error 'name "fixnum?" 0 n))
#`(let ([n expr])
(let* #,(for/list ([m (in-vector lut)]
[f (in-vector flut)]
[b (in-naturals)])
@ -37,5 +55,4 @@
(unsafe-fxand n #,f))])
n)))]))
(mk-fxpopcount fxpopcount)
(define-fxpopcount fxpopcount #f)