optimizing random.sfmt
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! Copyright (C) 2009 Doug Coleman.
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! See http://factorcode.org/license.txt for BSD license.
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USING: accessors kernel random.sfmt sequences tools.test ;
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USING: accessors kernel random random.sfmt random.sfmt.private
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sequences tools.test ;
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IN: random.sfmt.tests
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[ ] [ 100 <sfmt-19937> drop ] unit-test
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[ 1096298955 ]
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[ 100 <sfmt-19937> generate generate state>> first first ] unit-test
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[ 100 <sfmt-19937> dup generate dup generate uint-array>> first ] unit-test
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[ 2556114782 ]
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[ 100 <sfmt-19937> random-32* ] unit-test
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@ -2,35 +2,30 @@
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! See http://factorcode.org/license.txt for BSD license.
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USING: accessors alien.c-types kernel locals math math.ranges
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math.bitwise math.vectors math.vectors.simd random
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sequences specialized-arrays sequences.private ;
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IN: random.sfmt
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sequences specialized-arrays sequences.private classes.struct ;
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SIMD: uint
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SPECIALIZED-ARRAY: uint
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SPECIALIZED-ARRAY: uint-4
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IN: random.sfmt
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CONSTANT: SFMT_N 156
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CONSTANT: SFMT_M 122
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<PRIVATE
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CONSTANT: state-multiplier 1812433253
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TUPLE: sfmt
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sl1 sl2 sr1 sr2 mask parity
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{ r1 uint-4 } { r2 uint-4 }
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{ seed fixnum } { n fixnum } { m fixnum }
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{ m-n fixnum } { ix fixnum } { state uint-4-array } ;
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STRUCT: sfmt-state
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{ seed uint }
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{ n uint }
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{ m uint }
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{ m-n int }
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{ ix uint }
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{ mask uint-4 }
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{ r1 uint-4 }
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{ r2 uint-4 } ;
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: init-state ( sfmt -- sfmt' )
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dup [ n>> 4 * iota >uint-array ] [ seed>> ] bi
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[
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[
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[
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[ -30 shift ] [ ] bi bitxor
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state-multiplier * 32 bits
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] dip +
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] unless-zero 32 bits
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] uint-array{ } accumulate-as nip underlying>> byte-array>uint-4-array
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>>state ;
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TUPLE: sfmt
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{ state sfmt-state }
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{ uint-array uint-array }
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{ uint-4-array uint-4-array } ;
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: wA ( w -- wA )
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dup 1 hlshift vbitxor ; inline
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@ -49,69 +44,85 @@ sl1 sl2 sr1 sr2 mask parity
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[ wB ] dip vbitxor
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[ wA ] dip vbitxor ; inline
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GENERIC: generate ( sfmt -- sfmt' )
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GENERIC: generate ( sfmt -- )
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M:: sfmt generate ( sfmt -- sfmt' )
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M:: sfmt generate ( sfmt -- )
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sfmt state>> :> state
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sfmt n>> 2 - state nth-unsafe sfmt (>>r1)
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sfmt n>> 1 - state nth-unsafe sfmt (>>r2)
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sfmt m>> :> m
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sfmt n>> :> n
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sfmt m-n>> :> m-n
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sfmt mask>> :> mask
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sfmt uint-4-array>> :> array
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state n>> 2 - array nth state (>>r1)
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state n>> 1 - array nth state (>>r2)
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state m>> :> m
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state n>> :> n
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state m-n>> :> m-n
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state mask>> :> mask
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n m - iota [| i |
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i state nth-unsafe
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i m + state nth-unsafe
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mask sfmt r1>> sfmt r2>> formula :> r
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n m - >fixnum iota [| i |
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i array nth-unsafe
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i m + array nth-unsafe
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mask state r1>> state r2>> formula :> r
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r i state set-nth-unsafe
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sfmt r2>> sfmt (>>r1)
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r sfmt (>>r2)
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r i array set-nth-unsafe
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state r2>> state (>>r1)
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r state (>>r2)
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] each
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n m - 1 + n [a,b) [| i |
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i state nth-unsafe
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m-n i + state nth-unsafe
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mask sfmt r1>> sfmt r2>> formula :> r
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! n m - 1 + n [a,b) [
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m 1 - iota [
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n m - 1 + + >fixnum :> i
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i array nth-unsafe
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m-n i + array nth-unsafe
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mask state r1>> state r2>> formula :> r
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r i state set-nth-unsafe
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sfmt r2>> sfmt (>>r1)
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r sfmt (>>r2)
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r i array set-nth-unsafe
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state r2>> state (>>r1)
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r state (>>r2)
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] each
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sfmt 0 >>ix ;
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0 state (>>ix) ;
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: <sfmt> ( seed n m sl1 sl2 sr1 sr2 mask parity -- sfmt )
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sfmt new
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swap >>parity
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: <sfmt-array> ( sfmt -- uint-array uint-4-array )
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state>>
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[ n>> 4 * iota >uint-array ] [ seed>> ] bi
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[
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[
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[
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[ -30 shift ] [ ] bi bitxor
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state-multiplier * 32 bits
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] dip +
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] unless-zero 32 bits
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] uint-array{ } accumulate-as nip
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dup underlying>> byte-array>uint-4-array ;
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: <sfmt-state> ( seed n m mask -- sfmt )
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sfmt-state <struct>
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swap >>mask
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swap >>sr2
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swap >>sr1
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swap >>sl2
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swap >>sl1
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swap >>m
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swap >>n
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swap 32 bits >>seed
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swap >>seed
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dup [ m>> ] [ n>> ] bi - >>m-n
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0 >>ix
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init-state
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generate ;
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0 >>ix ;
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: <sfmt-19937> ( seed -- sfmt )
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348 330 5 3 9 3
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uint-4{ HEX: BFFFFFF6 HEX: BFFAFFFF HEX: DDFECB7F HEX: DFFFFFEF }
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uint-4{ HEX: ecc1327a HEX: a3ac4000 HEX: 0 HEX: 1 }
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<sfmt> ;
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: <sfmt> ( seed n m mask -- sfmt )
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<sfmt-state>
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sfmt new
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swap >>state
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dup <sfmt-array> [ >>uint-array ] [ >>uint-4-array ] bi*
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[ generate ] keep ;
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: refill-sfmt? ( sfmt -- ? )
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[ ix>> ] [ n>> 4 * ] bi >= ;
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state>> [ ix>> ] [ n>> 4 * ] bi >= ;
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: nth-sfmt ( sfmt -- n )
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[ ix>> 4 /mod swap ]
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[ state>> nth nth ]
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[ [ 1 + ] change-ix drop ] tri ; inline
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: next-ix ( sfmt -- ix )
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state>> [ dup 1 + ] change-ix drop ; inline
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: next ( sfmt -- n )
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[ next-ix ] [ uint-array>> ] bi nth-unsafe ; inline
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PRIVATE>
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M: sfmt random-32* ( sfmt -- n )
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dup refill-sfmt? [ generate ] when
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nth-sfmt ;
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dup refill-sfmt? [ dup generate ] when next ;
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: <sfmt-19937> ( seed -- sfmt )
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348 330 uint-4{ HEX: BFFFFFF6 HEX: BFFAFFFF HEX: DDFECB7F HEX: DFFFFFEF }
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<sfmt> ;
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