factor/extra/random/mersenne-twister/mersenne-twister.factor

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Factor
Executable File

! Copyright (C) 2005, 2008 Doug Coleman.
! See http://factorcode.org/license.txt for BSD license.
! mersenne twister based on
! http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/CODES/mt19937ar.c
USING: arrays kernel math namespaces sequences system init
new-slots accessors math.ranges combinators.cleave random ;
IN: random.mersenne-twister
<PRIVATE
: new-nth ( seq i -- elt ) swap nth ; inline
: new-set-nth ( seq obj n -- seq ) pick set-nth ; inline
TUPLE: mersenne-twister seq i ;
: mt-n 624 ; inline
: mt-m 397 ; inline
: mt-a HEX: 9908b0df ; inline
: mt-hi HEX: 80000000 bitand ; inline
: mt-lo HEX: 7fffffff bitand ; inline
: wrap ( x n -- y ) 2dup >= [ - ] [ drop ] if ; inline
: mt-wrap ( x -- y ) mt-n wrap ; inline
: set-generated ( mt y from-elt to -- )
>r >r [ 2/ ] [ odd? mt-a 0 ? ] bi
r> bitxor bitxor r> new-set-nth drop ; inline
: calculate-y ( mt y1 y2 -- y )
>r over r>
[ new-nth mt-hi ] [ new-nth mt-lo ] 2bi* bitor ; inline
: (mt-generate) ( mt-seq n -- y to from-elt )
[ dup 1+ mt-wrap calculate-y ]
[ mt-m + mt-wrap new-nth ]
[ nip ] 2tri ;
: mt-generate ( mt -- )
[ seq>> mt-n [ dupd (mt-generate) set-generated ] with each ]
[ 0 >>i drop ] bi ;
: init-mt-first ( seed -- seq )
>r mt-n 0 <array> r>
HEX: ffffffff bitand 0 new-set-nth ;
: init-mt-formula ( seq i -- f(seq[i]) )
tuck new-nth dup -30 shift bitxor 1812433253 * +
1+ HEX: ffffffff bitand ;
: init-mt-rest ( seq -- )
mt-n 1- [0,b) [
dupd [ init-mt-formula ] keep 1+ new-set-nth drop
] with each ;
: init-mt-seq ( seed -- seq )
init-mt-first dup init-mt-rest ;
: mt-temper ( y -- yt )
dup -11 shift bitxor
dup 7 shift HEX: 9d2c5680 bitand bitxor
dup 15 shift HEX: efc60000 bitand bitxor
dup -18 shift bitxor ; inline
PRIVATE>
: <mersenne-twister> ( seed -- obj )
init-mt-seq 0 mersenne-twister construct-boa
dup mt-generate ;
M: mersenne-twister seed-random ( mt seed -- )
init-mt-seq >>seq drop ;
M: mersenne-twister random-32 ( mt -- r )
dup [ seq>> ] [ i>> ] bi
dup mt-n < [ drop 0 pick mt-generate ] unless
new-nth mt-temper
swap [ 1+ ] change-i drop ;