optimizing random.sfmt

db4
Doug Coleman 2009-10-02 01:18:18 -05:00
parent b8e5e84df3
commit 1239984625
2 changed files with 85 additions and 69 deletions

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@ -1,8 +1,13 @@
! Copyright (C) 2009 Doug Coleman.
! See http://factorcode.org/license.txt for BSD license.
USING: accessors kernel random.sfmt sequences tools.test ;
USING: accessors kernel random random.sfmt random.sfmt.private
sequences tools.test ;
IN: random.sfmt.tests
[ ] [ 100 <sfmt-19937> drop ] unit-test
[ 1096298955 ]
[ 100 <sfmt-19937> generate generate state>> first first ] unit-test
[ 100 <sfmt-19937> dup generate dup generate uint-array>> first ] unit-test
[ 2556114782 ]
[ 100 <sfmt-19937> random-32* ] unit-test

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