slib 3b1-3.1 / usr / share / slib / logical.scm

;;;; "logical.scm", bit access and operations for integers for Scheme
;;; Copyright (C) 1991, 1993, 2001, 2003, 2005 Aubrey Jaffer
;
;Permission to copy this software, to modify it, to redistribute it,
;to distribute modified versions, and to use it for any purpose is
;granted, subject to the following restrictions and understandings.
;
;1.  Any copy made of this software must include this copyright notice
;in full.
;
;2.  I have made no warranty or representation that the operation of
;this software will be error-free, and I am under no obligation to
;provide any services, by way of maintenance, update, or otherwise.
;
;3.  In conjunction with products arising from the use of this
;material, there shall be no use of my name in any advertising,
;promotional, or sales literature without prior written consent in
;each case.

(define logical:boole-xor
 '#(#(0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15)
    #(1 0 3 2 5 4 7 6 9 8 11 10 13 12 15 14)
    #(2 3 0 1 6 7 4 5 10 11 8 9 14 15 12 13)
    #(3 2 1 0 7 6 5 4 11 10 9 8 15 14 13 12)
    #(4 5 6 7 0 1 2 3 12 13 14 15 8 9 10 11)
    #(5 4 7 6 1 0 3 2 13 12 15 14 9 8 11 10)
    #(6 7 4 5 2 3 0 1 14 15 12 13 10 11 8 9)
    #(7 6 5 4 3 2 1 0 15 14 13 12 11 10 9 8)
    #(8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7)
    #(9 8 11 10 13 12 15 14 1 0 3 2 5 4 7 6)
    #(10 11 8 9 14 15 12 13 2 3 0 1 6 7 4 5)
    #(11 10 9 8 15 14 13 12 3 2 1 0 7 6 5 4)
    #(12 13 14 15 8 9 10 11 4 5 6 7 0 1 2 3)
    #(13 12 15 14 9 8 11 10 5 4 7 6 1 0 3 2)
    #(14 15 12 13 10 11 8 9 6 7 4 5 2 3 0 1)
    #(15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0)))

(define logical:boole-and
 '#(#(0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0)
    #(0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1)
    #(0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2)
    #(0 1 2 3 0 1 2 3 0 1 2 3 0 1 2 3)
    #(0 0 0 0 4 4 4 4 0 0 0 0 4 4 4 4)
    #(0 1 0 1 4 5 4 5 0 1 0 1 4 5 4 5)
    #(0 0 2 2 4 4 6 6 0 0 2 2 4 4 6 6)
    #(0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7)
    #(0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8)
    #(0 1 0 1 0 1 0 1 8 9 8 9 8 9 8 9)
    #(0 0 2 2 0 0 2 2 8 8 10 10 8 8 10 10)
    #(0 1 2 3 0 1 2 3 8 9 10 11 8 9 10 11)
    #(0 0 0 0 4 4 4 4 8 8 8 8 12 12 12 12)
    #(0 1 0 1 4 5 4 5 8 9 8 9 12 13 12 13)
    #(0 0 2 2 4 4 6 6 8 8 10 10 12 12 14 14)
    #(0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15)))

(define (logical:ash-4 x)
  (if (negative? x)
      (+ -1 (quotient (+ 1 x) 16))
      (quotient x 16)))

(define (logical:reduce op4 ident)
  (lambda args
    (do ((res ident (op4 res (car rgs) 1 0))
	 (rgs args (cdr rgs)))
	((null? rgs) res))))

;@
(define logand
  (letrec
      ((lgand
	(lambda (n2 n1 scl acc)
	  (cond ((= n1 n2) (+ acc (* scl n1)))
		((zero? n2) acc)
		((zero? n1) acc)
		(else (lgand (logical:ash-4 n2)
			     (logical:ash-4 n1)
			     (* 16 scl)
			     (+ (* (vector-ref (vector-ref logical:boole-and
							   (modulo n1 16))
					       (modulo n2 16))
				   scl)
				acc)))))))
    (logical:reduce lgand -1)))
;@
(define logior
  (letrec
      ((lgior
	(lambda (n2 n1 scl acc)
	  (cond ((= n1 n2) (+ acc (* scl n1)))
		((zero? n2) (+ acc (* scl n1)))
		((zero? n1) (+ acc (* scl n2)))
		(else (lgior (logical:ash-4 n2)
			     (logical:ash-4 n1)
			     (* 16 scl)
			     (+ (* (- 15 (vector-ref
					  (vector-ref logical:boole-and
						      (- 15 (modulo n1 16)))
					  (- 15 (modulo n2 16))))
				   scl)
				acc)))))))
    (logical:reduce lgior 0)))
;@
(define logxor
  (letrec
      ((lgxor
	(lambda (n2 n1 scl acc)
	  (cond ((= n1 n2) acc)
		((zero? n2) (+ acc (* scl n1)))
		((zero? n1) (+ acc (* scl n2)))
		(else (lgxor (logical:ash-4 n2)
			     (logical:ash-4 n1)
			     (* 16 scl)
			     (+ (* (vector-ref (vector-ref logical:boole-xor
							   (modulo n1 16))
					       (modulo n2 16))
				   scl)
				acc)))))))
    (logical:reduce lgxor 0)))
;@
(define (lognot n) (- -1 n))
;@
(define (logtest n1 n2)
  (not (zero? (logand n1 n2))))
;@
(define (logbit? index n)
  (logtest (expt 2 index) n))
;@
(define (copy-bit index to bool)
  (if bool
      (logior to (arithmetic-shift 1 index))
      (logand to (lognot (arithmetic-shift 1 index)))))
;@
(define (bitwise-if mask n0 n1)
  (logior (logand mask n0)
	  (logand (lognot mask) n1)))
;@
(define (bit-field n start end)
  (logand (lognot (ash -1 (- end start)))
	  (arithmetic-shift n (- start))))
;@
(define (copy-bit-field to from start end)
  (bitwise-if (arithmetic-shift (lognot (ash -1 (- end start))) start)
	      (arithmetic-shift from start)
	      to))
;@
(define (rotate-bit-field n count start end)
  (define width (- end start))
  (set! count (modulo count width))
  (let ((mask (lognot (ash -1 width))))
    (define zn (logand mask (arithmetic-shift n (- start))))
    (logior (arithmetic-shift
	     (logior (logand mask (arithmetic-shift zn count))
		     (arithmetic-shift zn (- count width)))
	     start)
	    (logand (lognot (ash mask start)) n))))
;@
(define (arithmetic-shift n count)
  (if (negative? count)
      (let ((k (expt 2 (- count))))
	(if (negative? n)
	    (+ -1 (quotient (+ 1 n) k))
	    (quotient n k)))
      (* (expt 2 count) n)))
;@
(define integer-length
  (letrec ((intlen (lambda (n tot)
		     (case n
		       ((0 -1) (+ 0 tot))
		       ((1 -2) (+ 1 tot))
		       ((2 3 -3 -4) (+ 2 tot))
		       ((4 5 6 7 -5 -6 -7 -8) (+ 3 tot))
		       (else (intlen (logical:ash-4 n) (+ 4 tot)))))))
    (lambda (n) (intlen n 0))))
;@
(define bitwise-bit-count
  (letrec ((logcnt (lambda (n tot)
		     (if (zero? n)
			 tot
			 (logcnt (quotient n 16)
				 (+ (vector-ref
				     '#(0 1 1 2 1 2 2 3 1 2 2 3 2 3 3 4)
				     (modulo n 16))
				    tot))))))
    (lambda (n)
      (cond ((negative? n) (lognot (logcnt (lognot n) 0)))
	    ((positive? n) (logcnt n 0))
	    (else 0)))))
;@
(define (logcount n)
  (cond ((negative? n) (bitwise-bit-count (lognot n)))
	(else (bitwise-bit-count n))))
;@
(define (log2-binary-factors n)
  (+ -1 (integer-length (logand n (- n)))))

(define (bit-reverse k n)
  (do ((m (if (negative? n) (lognot n) n) (arithmetic-shift m -1))
       (k (+ -1 k) (+ -1 k))
       (rvs 0 (logior (arithmetic-shift rvs 1) (logand 1 m))))
      ((negative? k) (if (negative? n) (lognot rvs) rvs))))
;@
(define (reverse-bit-field n start end)
  (define width (- end start))
  (let ((mask (lognot (ash -1 width))))
    (define zn (logand mask (arithmetic-shift n (- start))))
    (logior (arithmetic-shift (bit-reverse width zn) start)
	    (logand (lognot (ash mask start)) n))))
;@
(define (integer->list k . len)
  (if (null? len)
      (do ((k k (arithmetic-shift k -1))
	   (lst '() (cons (odd? k) lst)))
	  ((<= k 0) lst))
      (do ((idx (+ -1 (car len)) (+ -1 idx))
	   (k k (arithmetic-shift k -1))
	   (lst '() (cons (odd? k) lst)))
	  ((negative? idx) lst))))
;@
(define (list->integer bools)
  (do ((bs bools (cdr bs))
       (acc 0 (+ acc acc (if (car bs) 1 0))))
      ((null? bs) acc)))
(define (booleans->integer . bools)
  (list->integer bools))

;;;;@ SRFI-60 aliases
(define ash arithmetic-shift)
(define bitwise-ior logior)
(define bitwise-xor logxor)
(define bitwise-and logand)
(define bitwise-not lognot)
(define bit-count logcount)
(define bit-set?   logbit?)
(define any-bits-set? logtest)
(define first-set-bit log2-binary-factors)
(define bitwise-merge bitwise-if)
(provide 'srfi-60)

;;; Legacy
;;(define (logical:rotate k count len) (rotate-bit-field k count 0 len))
;;(define (logical:ones deg) (lognot (ash -1 deg)))
;;(define integer-expt expt)		; legacy name