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- ;;;; "random.scm" Pseudo-Random number generator for scheme.
- ;;; Copyright (C) 1991, 1993 Aubrey Jaffer.
- ;
- ;Permission to copy this software, to redistribute it, 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 warrantee 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.
-
- (require 'logical)
-
- (define random:tap 24)
- (define random:size 55)
-
- (define (random:size-int l)
- (let ((trial (string->number (make-string l #\f) 16)))
- (if (and (exact? trial) (>= most-positive-fixnum trial))
- l
- (random:size-int (- l 1)))))
- (define random:chunk-size (* 4 (random:size-int 8)))
-
- (define random:MASK
- (string->number (make-string (quotient random:chunk-size 4) #\f) 16))
-
- (define *random-state*
- '#(
- "d909ef3e" "fd330ab3" "e33f7843" "76783fbd" "f3675fb3"
- "b54ef879" "0be45590" "a6794679" "0bcd56d3" "fabcdef8"
- "9cbd3efd" "3fd3efcd" "e064ef27" "dddecc08" "34444292"
- "85444454" "4c519210" "c0366273" "54734567" "70abcddc"
- "1bbdac53" "616c5a86" "a982efa9" "105996a0" "5f0cccba"
- "1ea055e1" "fe2acd8d" "1891c1d4" "e6690270" "6912bccc"
- "2678e141" "61222224" "907abcbb" "4ad6829b" "9cdd1404"
- "57798841" "5b892496" "871c9cd1" "d1e67bda" "8b0a3233"
- "578ef23f" "28274ef6" "823ef5ef" "845678c5" "e67890a5"
- "5890abcb" "851fa9ab" "13efa13a" "b12278d6" "daf805ab"
- "a0befc36" "0068a7b5" "e024fd90" "a7b690e2" "27f3571a"
- 0))
-
- (let ((random-strings *random-state*))
- (set! *random-state* (make-vector (+ random:size 1) 0))
- (let ((nibbles (quotient random:chunk-size 4)))
- (do ((i 0 (+ i 1)))
- ((= i random:size))
- (vector-set!
- *random-state* i
- (string->number (substring (vector-ref random-strings i)
- 0 nibbles)
- 16)))))
-
- ;;; random:chunk returns an integer in the range of
- ;;; 0 to (- (expt 2 random:chunk-size) 1)
- (define (random:chunk v)
- (let* ((p (vector-ref v random:size))
- (ans (logical:logxor
- (vector-ref v (modulo (- p random:tap) random:size))
- (vector-ref v p))))
- (vector-set! v p ans)
- (vector-set! v random:size (modulo (- p 1) random:size))
- ans))
-
- (define (random:random modu . args)
- (let ((state (if (null? args) *random-state* (car args))))
- (if (exact? modu)
- (do ((ilen 0 (+ 1 ilen))
- (s random:MASK
- (+ random:MASK (* (+ 1 random:MASK) s))))
- ((>= s (- modu 1))
- (let ((slop (modulo (+ s (- 1 modu)) modu)))
- (let loop ((n ilen)
- (r (random:chunk state)))
- (cond ((not (zero? n))
- (loop (+ -1 n)
- (+ (* r (+ 1 random:MASK))
- (random:chunk state))))
- ((>= r slop) (modulo r modu))
- (else (loop ilen (random:chunk state))))))))
-
- (* (random:uniform state) modu))))
- ;;;random:uniform is in randinex.scm. It is needed only if inexact is
- ;;;supported.
-
- (define (random:make-random-state . args)
- (let ((state (if (null? args) *random-state* (car args))))
- (list->vector (vector->list state))))
-
- (define random random:random)
- (define make-random-state random:make-random-state)
-
- (provide 'random) ;to prevent loops
- (if (provided? 'inexact) (require 'random-inexact))
-