This page is part of the web mail archives of SRFI 60 from before July 7th, 2015. The new archives for SRFI 60 contain all messages, not just those from before July 7th, 2015.
| From: sebastian.egner@xxxxxxxxxxx | Date: Tue, 4 Jan 2005 10:18:14 +0100 | | 1. As it turns out, I frequently need the following operation missing | in SRFI-60: | | (FOO x) ==> i ; this is not my proposal for the procedure's | name ;-) | | i >= 0 is the index of the least significant bit set in | integer x in case x > 0, | | or in -x-1 if x < 0. If x = 0 then [choose: i = -1 OR (error | ...) OR i = #f OR ...] | | In other words, i = max {k >= 0 : 2^k divides x} for x > 0. I added log2-binary-factors to SRFI-60. How about a better name for it? -=-=-=-=- log2-binary-factors is a useful function which is simple but non-obvious: (define (log2-binary-factors n) (+ -1 (integer-length (logand n (- n))))) ... _Function:_ *log2-binary-factors* /n/ Returns the number of factors of two of integer n. This value is also the bit-index of the least-significant `1' bit in n. (require 'printf) (do ((idx 0 (+ 1 idx))) ((> idx 16)) (printf "%s(%3d) ==> %-5d %s(%2d) ==> %-5d\n" 'log2-binary-factors (- idx) (log2-binary-factors (- idx)) 'log2-binary-factors idx (log2-binary-factors idx))) -| log2-binary-factors( 0) ==> -1 log2-binary-factors( 0) ==> -1 log2-binary-factors( -1) ==> 0 log2-binary-factors( 1) ==> 0 log2-binary-factors( -2) ==> 1 log2-binary-factors( 2) ==> 1 log2-binary-factors( -3) ==> 0 log2-binary-factors( 3) ==> 0 log2-binary-factors( -4) ==> 2 log2-binary-factors( 4) ==> 2 log2-binary-factors( -5) ==> 0 log2-binary-factors( 5) ==> 0 log2-binary-factors( -6) ==> 1 log2-binary-factors( 6) ==> 1 log2-binary-factors( -7) ==> 0 log2-binary-factors( 7) ==> 0 log2-binary-factors( -8) ==> 3 log2-binary-factors( 8) ==> 3 log2-binary-factors( -9) ==> 0 log2-binary-factors( 9) ==> 0 log2-binary-factors(-10) ==> 1 log2-binary-factors(10) ==> 1 log2-binary-factors(-11) ==> 0 log2-binary-factors(11) ==> 0 log2-binary-factors(-12) ==> 2 log2-binary-factors(12) ==> 2 log2-binary-factors(-13) ==> 0 log2-binary-factors(13) ==> 0 log2-binary-factors(-14) ==> 1 log2-binary-factors(14) ==> 1 log2-binary-factors(-15) ==> 0 log2-binary-factors(15) ==> 0 log2-binary-factors(-16) ==> 4 log2-binary-factors(16) ==> 4