redo random/
Doug Coleman
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40aab45282
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USING: kernel math sequences namespaces
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math.miller-rabin combinators.cleave combinators.lib
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math.functions new-slots accessors random ;
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IN: random.blum-blum-shub
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! TODO: take (log log M) bits instead of 1 bit
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! Blum Blum Shub, M = pq
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TUPLE: blum-blum-shub x n ;
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C: <blum-blum-shub> blum-blum-shub
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: generate-bbs-primes ( numbits -- p q )
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#! two primes congruent to 3 (mod 4)
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[ [ random-prime ] curry [ 4 mod 3 = ] generate ] dup bi ;
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IN: crypto
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: <blum-blum-shub> ( numbits -- blum-blum-shub )
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#! returns a Blum-Blum-Shub tuple
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generate-bbs-primes *
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[ find-relative-prime ] keep
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blum-blum-shub construct-boa ;
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! 256 make-bbs blum-blum-shub set-global
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: next-bbs-bit ( bbs -- bit )
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#! x = x^2 mod n, return low bit of calculated x
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[ [ x>> 2 ] [ n>> ] bi ^mod ]
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[ [ >>x ] keep x>> 1 bitand ] bi ;
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IN: crypto
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! : random ( n -- n )
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! ! #! Cryptographically secure random number using Blum-Blum-Shub 256
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! [ log2 1+ random-bits ] keep dupd >= [ -1 shift ] when ;
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M: blum-blum-shub random-32 ( bbs -- r )
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;
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@ -0,0 +1,11 @@
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USING: kernel random math new-slots accessors ;
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IN: random.dummy
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TUPLE: random-dummy i ;
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C: <random-dummy> random-dummy
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M: random-dummy seed-random ( seed obj -- )
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(>>i) ;
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M: random-dummy random-32 ( obj -- r )
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[ dup 1+ ] change-i drop ;
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@ -1,17 +1,17 @@
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USING: help.markup help.syntax math ;
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IN: random
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IN: random.mersenne-twister
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ARTICLE: "random-numbers" "Generating random integers"
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"The " { $vocab-link "random" } " vocabulary implements the ``Mersenne Twister'' pseudo-random number generator algorithm."
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{ $subsection init-random }
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! { $subsection init-random }
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{ $subsection (random) }
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{ $subsection random } ;
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ABOUT: "random-numbers"
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HELP: init-random
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{ $values { "seed" integer } }
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{ $description "Initializes the random number generator with the given seed. This word is called on startup to initialize the random number generator with the current time." } ;
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! HELP: init-random
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! { $values { "seed" integer } }
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! { $description "Initializes the random number generator with the given seed. This word is called on startup to initialize the random number generator with the current time." } ;
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HELP: (random)
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{ $values { "rand" "an integer between 0 and 2^32-1" } }
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USING: kernel math random namespaces random.mersenne-twister
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sequences tools.test ;
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IN: random.mersenne-twister.tests
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USE: tools.walker
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: check-random ( max -- ? )
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dup >r random 0 r> between? ;
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[ t ] [ 100 [ drop 674 check-random ] all? ] unit-test
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: make-100-randoms
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[ 100 [ 100 random , ] times ] { } make ;
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: test-rng ( seed quot -- )
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>r <mersenne-twister> r> with-random ;
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[ f ] [ 1234 [ make-100-randoms make-100-randoms = ] test-rng ] unit-test
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[ 1333075495 ] [
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0 [ 1000 [ drop \ random get random-32 drop ] each \ random get random-32 ] test-rng
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] unit-test
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[ 1575309035 ] [
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0 [ 10000 [ drop \ random get random-32 drop ] each \ random get random-32 ] test-rng
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] unit-test
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[ 3 ] [ 101 [ 3 random-bytes length ] test-rng ] unit-test
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[ 33 ] [ 101 [ 33 random-bytes length ] test-rng ] unit-test
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[ t ] [ 101 [ 100 random-bits log2 90 > ] test-rng ] unit-test
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! Copyright (C) 2005, 2008 Doug Coleman.
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! See http://factorcode.org/license.txt for BSD license.
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! mersenne twister based on
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! http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/CODES/mt19937ar.c
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USING: arrays kernel math namespaces sequences
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system init new-slots accessors
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math.ranges combinators.cleave circular random ;
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IN: random.mersenne-twister
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<PRIVATE
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: new-nth ( seq i -- elt ) swap nth ; inline
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: new-set-nth ( seq obj n -- seq ) pick set-nth ; inline
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TUPLE: mersenne-twister seq i ;
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: mt-n 624 ; inline
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: mt-m 397 ; inline
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: mt-a HEX: 9908b0df ; inline
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: mt-hi HEX: 80000000 bitand ; inline
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: mt-lo HEX: 7fffffff bitand ; inline
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: wrap ( x n -- y ) 2dup >= [ - ] [ drop ] if ; inline
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: mt-wrap ( x -- y ) mt-n wrap ; inline
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: set-generated ( mt y from-elt to -- )
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>r >r [ 2/ ] [ odd? mt-a 0 ? ] bi
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r> bitxor bitxor r> new-set-nth drop ; inline
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: calculate-y ( mt y1 y2 -- y )
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>r over r>
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[ new-nth mt-hi ] [ new-nth mt-lo ] 2bi* bitor ; inline
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: (mt-generate) ( mt-seq n -- y to from-elt )
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[ dup 1+ mt-wrap calculate-y ]
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[ mt-m + mt-wrap new-nth ]
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[ nip ] 2tri ;
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: mt-generate ( mt -- )
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[ seq>> mt-n [ dupd (mt-generate) set-generated ] with each ]
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[ 0 >>i drop ] bi ;
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: init-mt-first ( seed -- seq )
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>r mt-n 0 <array> r>
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HEX: ffffffff bitand 0 new-set-nth ;
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: init-mt-formula ( seq i -- f(seq[i]) )
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tuck new-nth dup -30 shift bitxor 1812433253 * +
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1+ HEX: ffffffff bitand ;
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: init-mt-rest ( seq -- )
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mt-n 1- [0,b) [
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dupd [ init-mt-formula ] keep 1+ new-set-nth drop
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] with each ;
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: init-mt-seq ( seed -- seq )
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init-mt-first dup init-mt-rest ;
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: mt-temper ( y -- yt )
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dup -11 shift bitxor
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dup 7 shift HEX: 9d2c5680 bitand bitxor
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dup 15 shift HEX: efc60000 bitand bitxor
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dup -18 shift bitxor ; inline
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PRIVATE>
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: <mersenne-twister> ( seed -- obj )
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init-mt-seq 0 mersenne-twister construct-boa
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dup mt-generate ;
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M: mersenne-twister seed-random ( mt seed -- )
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init-mt-seq >>seq drop ;
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M: mersenne-twister random-32 ( mt -- r )
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dup [ seq>> ] [ i>> ] bi
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dup mt-n < [ drop 0 pick mt-generate ] unless
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new-nth mt-temper
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swap [ 1+ ] change-i drop ;
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[ millis <mersenne-twister> \ random set-global ] "random" add-init-hook
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@ -1,15 +0,0 @@
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USING: kernel math random namespaces sequences tools.test ;
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IN: random.tests
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: check-random ( max -- ? )
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dup >r random 0 r> between? ;
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[ t ] [ 100 [ drop 674 check-random ] all? ] unit-test
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: make-100-randoms
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[ 100 [ 100 random , ] times ] { } make ;
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[ f ] [ make-100-randoms make-100-randoms = ] unit-test
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[ 1333075495 ] [ 0 init-random 1000 [ drop (random) drop ] each (random) ] unit-test
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[ 1575309035 ] [ 0 init-random 10000 [ drop (random) drop ] each (random) ] unit-test
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@ -1,107 +1,39 @@
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! Copyright (C) 2005, 2007 Doug Coleman.
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! Copyright (C) 2008 Doug Coleman.
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! See http://factorcode.org/license.txt for BSD license.
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! mersenne twister based on
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! http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/CODES/mt19937ar.c
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USING: arrays kernel math namespaces sequences
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system init alien.c-types ;
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USING: alien.c-types kernel math namespaces sequences
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io.backend ;
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IN: random
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<PRIVATE
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HOOK: os-crypto-random-bytes io-backend ( n -- byte-array )
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HOOK: os-random-bytes io-backend ( n -- byte-array )
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HOOK: os-crypto-random-32 io-backend ( -- r )
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HOOK: os-random-32 io-backend ( -- r )
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TUPLE: mersenne-twister seed seq i ;
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GENERIC: seed-random ( tuple seed -- )
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GENERIC: random-32 ( tuple -- r )
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C: <mersenne-twister> mersenne-twister
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: (random-bytes) ( tuple n -- byte-array )
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[ drop random-32 ] with map >c-uint-array ;
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: mt-n 624 ; inline
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: mt-m 397 ; inline
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: mt-a HEX: 9908b0df ; inline
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: mt-hi HEX: 80000000 ; inline
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: mt-lo HEX: 7fffffff ; inline
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DEFER: random
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SYMBOL: mt
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: random-bytes ( n -- r )
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[
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4 /mod zero? [ 1+ ] unless
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\ random get swap (random-bytes)
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] keep head ;
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: mt-seq ( -- seq )
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mt get mersenne-twister-seq ; inline
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: mt-nth ( n -- nth )
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mt-seq nth ; inline
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: mt-i ( -- i )
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mt get mersenne-twister-i ; inline
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: mti-inc ( -- )
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mt get [ mersenne-twister-i 1+ ] keep set-mersenne-twister-i ; inline
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: set-mt-ith ( y i-get i-set -- )
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>r mt-nth >r
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[ 2/ ] keep odd? mt-a 0 ? r> bitxor bitxor r>
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mt-seq set-nth ; inline
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: mt-y ( y1 y2 -- y )
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mt-nth mt-lo bitand
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>r mt-nth mt-hi bitand r> bitor ; inline
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: mod* ( x n -- y )
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#! no floating point
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2dup >= [ - ] [ drop ] if ; inline
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: (mt-generate) ( n -- y n n+(mt-m) )
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dup [ 1+ 624 mod* mt-y ] keep [ mt-m + 624 mod* ] keep ;
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: mt-generate ( -- )
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mt-n [ (mt-generate) set-mt-ith ] each
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0 mt get set-mersenne-twister-i ;
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: init-mt-first ( seed -- seq )
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>r mt-n 0 <array> r>
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HEX: ffffffff bitand 0 pick set-nth ;
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: init-mt-formula ( seq i -- f(seq[i]) )
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dup rot nth dup -30 shift bitxor
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1812433253 * + HEX: ffffffff bitand 1+ ; inline
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: init-mt-rest ( seq -- )
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mt-n 1 head* [
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[ init-mt-formula ] 2keep 1+ swap set-nth
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] with each ;
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: mt-temper ( y -- yt )
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dup -11 shift bitxor
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dup 7 shift HEX: 9d2c5680 bitand bitxor
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dup 15 shift HEX: efc60000 bitand bitxor
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dup -18 shift bitxor ; inline
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PRIVATE>
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: init-random ( seed -- )
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global [
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dup init-mt-first
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[ init-mt-rest ] keep
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0 <mersenne-twister> mt set
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mt-generate
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] bind ;
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: (random) ( -- rand )
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global [
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mt-i dup mt-n < [ drop mt-generate 0 ] unless
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mt-nth mti-inc
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mt-temper
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] bind ;
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: big-random ( n -- r )
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[ drop (random) ] map >c-uint-array byte-array>bignum ;
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: random-256 ( -- r ) 8 big-random ; inline
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: random-bits ( n -- r ) 2^ random ;
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: random ( seq -- elt )
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dup empty? [
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drop f
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] [
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[
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length dup log2 31 + 32 /i big-random swap mod
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length dup log2 7 + 8 /i
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random-bytes byte-array>bignum swap mod
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] keep nth
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] if ;
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[ millis init-random ] "random" add-init-hook
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: with-random ( tuple quot -- )
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\ random swap with-variable ; inline
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USING: alien.c-types io io.files io.nonblocking kernel
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namespaces random io.encodings.binary singleton ;
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IN: random.unix
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SINGLETON: unix-random
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: file-read-unbuffered ( n path -- bytes )
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over default-buffer-size [
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binary <file-reader> [ read ] with-stream
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] with-variable ;
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M: unix-random os-crypto-random-bytes ( n -- byte-array )
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"/dev/random" file-read-unbuffered ;
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M: unix-random os-random-bytes ( n -- byte-array )
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"/dev/urandom" file-read-unbuffered ;
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M: unix-random os-crypto-random-32 ( -- r )
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4 os-crypto-random-bytes *uint ;
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M: unix-random os-random-32 ( -- r )
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4 os-random-bytes *uint ;
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@ -0,0 +1,3 @@
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IN: random.windows
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! M: windows-io
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