Merge branch 'master' of git://factorcode.org/git/factor
commit
1c0a0155eb
|
@ -1414,7 +1414,7 @@ USING: math.private ;
|
||||||
{ uses { 5 10 } }
|
{ uses { 5 10 } }
|
||||||
{ ranges V{ T{ live-range f 5 10 } } }
|
{ ranges V{ T{ live-range f 5 10 } } }
|
||||||
}
|
}
|
||||||
intersect-inactive
|
relevant-ranges intersect-live-ranges
|
||||||
] unit-test
|
] unit-test
|
||||||
|
|
||||||
! Bug in live spill slots calculation
|
! Bug in live spill slots calculation
|
||||||
|
|
|
@ -0,0 +1,85 @@
|
||||||
|
! Copyright (C) 2009 Slava Pestov.
|
||||||
|
! See http://factorcode.org/license.txt for BSD license.
|
||||||
|
USING: kernel assocs sequences accessors fry combinators grouping
|
||||||
|
sets compiler.cfg compiler.cfg.hats
|
||||||
|
compiler.cfg.stack-analysis.state ;
|
||||||
|
IN: compiler.cfg.stack-analysis.merge
|
||||||
|
|
||||||
|
: initial-state ( bb states -- state ) 2drop <state> ;
|
||||||
|
|
||||||
|
: single-predecessor ( bb states -- state ) nip first clone ;
|
||||||
|
|
||||||
|
ERROR: must-equal-failed seq ;
|
||||||
|
|
||||||
|
: must-equal ( seq -- elt )
|
||||||
|
dup all-equal? [ first ] [ must-equal-failed ] if ;
|
||||||
|
|
||||||
|
: merge-heights ( state predecessors states -- state )
|
||||||
|
nip
|
||||||
|
[ [ ds-height>> ] map must-equal >>ds-height ]
|
||||||
|
[ [ rs-height>> ] map must-equal >>rs-height ] bi ;
|
||||||
|
|
||||||
|
: insert-peek ( predecessor loc -- vreg )
|
||||||
|
! XXX critical edges
|
||||||
|
'[ _ ^^peek ] add-instructions ;
|
||||||
|
|
||||||
|
: merge-loc ( predecessors locs>vregs loc -- vreg )
|
||||||
|
! Insert a ##phi in the current block where the input
|
||||||
|
! is the vreg storing loc from each predecessor block
|
||||||
|
[ '[ [ _ ] dip at ] map ] keep
|
||||||
|
'[ [ ] [ _ insert-peek ] ?if ] 2map
|
||||||
|
dup all-equal? [ first ] [ ^^phi ] if ;
|
||||||
|
|
||||||
|
: (merge-locs) ( predecessors assocs -- assoc )
|
||||||
|
dup [ keys ] map concat prune
|
||||||
|
[ [ 2nip ] [ merge-loc ] 3bi ] with with
|
||||||
|
H{ } map>assoc ;
|
||||||
|
|
||||||
|
: merge-locs ( state predecessors states -- state )
|
||||||
|
[ locs>vregs>> ] map (merge-locs) >>locs>vregs ;
|
||||||
|
|
||||||
|
: merge-actual-loc ( locs>vregs loc -- vreg )
|
||||||
|
'[ [ _ ] dip at ] map
|
||||||
|
dup all-equal? [ first ] [ drop f ] if ;
|
||||||
|
|
||||||
|
: merge-actual-locs ( state predecessors states -- state )
|
||||||
|
nip
|
||||||
|
[ actual-locs>vregs>> ] map
|
||||||
|
dup [ keys ] map concat prune
|
||||||
|
[ [ nip ] [ merge-actual-loc ] 2bi ] with
|
||||||
|
H{ } map>assoc
|
||||||
|
[ nip ] assoc-filter
|
||||||
|
>>actual-locs>vregs ;
|
||||||
|
|
||||||
|
: merge-changed-locs ( state predecessors states -- state )
|
||||||
|
nip [ changed-locs>> ] map assoc-combine >>changed-locs ;
|
||||||
|
|
||||||
|
ERROR: cannot-merge-poisoned states ;
|
||||||
|
|
||||||
|
: multiple-predecessors ( bb states -- state )
|
||||||
|
dup [ not ] any? [
|
||||||
|
[ <state> ] 2dip
|
||||||
|
sift merge-heights
|
||||||
|
] [
|
||||||
|
dup [ poisoned?>> ] any? [
|
||||||
|
cannot-merge-poisoned
|
||||||
|
] [
|
||||||
|
[ state new ] 2dip
|
||||||
|
[ predecessors>> ] dip
|
||||||
|
{
|
||||||
|
[ merge-locs ]
|
||||||
|
[ merge-actual-locs ]
|
||||||
|
[ merge-heights ]
|
||||||
|
[ merge-changed-locs ]
|
||||||
|
} 2cleave
|
||||||
|
] if
|
||||||
|
] if ;
|
||||||
|
|
||||||
|
: merge-states ( bb states -- state )
|
||||||
|
! If any states are poisoned, save all registers
|
||||||
|
! to the stack in each branch
|
||||||
|
dup length {
|
||||||
|
{ 0 [ initial-state ] }
|
||||||
|
{ 1 [ single-predecessor ] }
|
||||||
|
[ drop multiple-predecessors ]
|
||||||
|
} case ;
|
|
@ -1,42 +1,19 @@
|
||||||
! Copyright (C) 2009 Slava Pestov.
|
! Copyright (C) 2009 Slava Pestov.
|
||||||
! See http://factorcode.org/license.txt for BSD license.
|
! See http://factorcode.org/license.txt for BSD license.
|
||||||
USING: accessors assocs kernel namespaces math sequences fry grouping
|
USING: accessors assocs kernel namespaces math sequences fry grouping
|
||||||
sets make combinators compiler.cfg.copy-prop compiler.cfg.def-use
|
sets make combinators
|
||||||
compiler.cfg.instructions compiler.cfg.registers compiler.cfg.rpo
|
compiler.cfg
|
||||||
compiler.cfg.hats compiler.cfg ;
|
compiler.cfg.copy-prop
|
||||||
|
compiler.cfg.def-use
|
||||||
|
compiler.cfg.instructions
|
||||||
|
compiler.cfg.registers
|
||||||
|
compiler.cfg.rpo
|
||||||
|
compiler.cfg.hats
|
||||||
|
compiler.cfg.stack-analysis.state
|
||||||
|
compiler.cfg.stack-analysis.merge ;
|
||||||
IN: compiler.cfg.stack-analysis
|
IN: compiler.cfg.stack-analysis
|
||||||
|
|
||||||
! Convert stack operations to register operations
|
! Convert stack operations to register operations
|
||||||
|
|
||||||
! If 'poisoned' is set, disregard height information. This is set if we don't have
|
|
||||||
! height change information for an instruction.
|
|
||||||
TUPLE: state locs>vregs actual-locs>vregs changed-locs ds-height rs-height poisoned? ;
|
|
||||||
|
|
||||||
: <state> ( -- state )
|
|
||||||
state new
|
|
||||||
H{ } clone >>locs>vregs
|
|
||||||
H{ } clone >>actual-locs>vregs
|
|
||||||
H{ } clone >>changed-locs
|
|
||||||
0 >>ds-height
|
|
||||||
0 >>rs-height ;
|
|
||||||
|
|
||||||
M: state clone
|
|
||||||
call-next-method
|
|
||||||
[ clone ] change-locs>vregs
|
|
||||||
[ clone ] change-actual-locs>vregs
|
|
||||||
[ clone ] change-changed-locs ;
|
|
||||||
|
|
||||||
: loc>vreg ( loc -- vreg ) state get locs>vregs>> at ;
|
|
||||||
|
|
||||||
: record-peek ( dst loc -- )
|
|
||||||
state get [ locs>vregs>> set-at ] [ actual-locs>vregs>> set-at ] 3bi ;
|
|
||||||
|
|
||||||
: changed-loc ( loc -- )
|
|
||||||
state get changed-locs>> conjoin ;
|
|
||||||
|
|
||||||
: record-replace ( src loc -- )
|
|
||||||
dup changed-loc state get locs>vregs>> set-at ;
|
|
||||||
|
|
||||||
GENERIC: height-for ( loc -- n )
|
GENERIC: height-for ( loc -- n )
|
||||||
|
|
||||||
M: ds-loc height-for drop state get ds-height>> ;
|
M: ds-loc height-for drop state get ds-height>> ;
|
||||||
|
@ -64,12 +41,6 @@ M: rs-loc untranslate-loc (translate-loc) + <rs-loc> ;
|
||||||
[ 2drop ] [ untranslate-loc ##replace ] if
|
[ 2drop ] [ untranslate-loc ##replace ] if
|
||||||
] assoc-each ;
|
] assoc-each ;
|
||||||
|
|
||||||
: clear-state ( state -- )
|
|
||||||
[ locs>vregs>> clear-assoc ]
|
|
||||||
[ actual-locs>vregs>> clear-assoc ]
|
|
||||||
[ changed-locs>> clear-assoc ]
|
|
||||||
tri ;
|
|
||||||
|
|
||||||
ERROR: poisoned-state state ;
|
ERROR: poisoned-state state ;
|
||||||
|
|
||||||
: sync-state ( -- )
|
: sync-state ( -- )
|
||||||
|
@ -84,6 +55,14 @@ ERROR: poisoned-state state ;
|
||||||
! Abstract interpretation
|
! Abstract interpretation
|
||||||
GENERIC: visit ( insn -- )
|
GENERIC: visit ( insn -- )
|
||||||
|
|
||||||
|
: adjust-ds ( n -- ) state get [ + ] change-ds-height drop ;
|
||||||
|
|
||||||
|
M: ##inc-d visit [ , ] [ n>> adjust-ds ] bi ;
|
||||||
|
|
||||||
|
: adjust-rs ( n -- ) state get [ + ] change-rs-height drop ;
|
||||||
|
|
||||||
|
M: ##inc-r visit [ , ] [ n>> adjust-rs ] bi ;
|
||||||
|
|
||||||
! Instructions which don't have any effect on the stack
|
! Instructions which don't have any effect on the stack
|
||||||
UNION: neutral-insn
|
UNION: neutral-insn
|
||||||
##flushable
|
##flushable
|
||||||
|
@ -113,14 +92,6 @@ t local-only? set-global
|
||||||
M: sync-if-back-edge visit
|
M: sync-if-back-edge visit
|
||||||
sync-state? [ sync-state ] when , ;
|
sync-state? [ sync-state ] when , ;
|
||||||
|
|
||||||
: adjust-d ( n -- ) state get [ + ] change-ds-height drop ;
|
|
||||||
|
|
||||||
M: ##inc-d visit [ , ] [ n>> adjust-d ] bi ;
|
|
||||||
|
|
||||||
: adjust-r ( n -- ) state get [ + ] change-rs-height drop ;
|
|
||||||
|
|
||||||
M: ##inc-r visit [ , ] [ n>> adjust-r ] bi ;
|
|
||||||
|
|
||||||
: eliminate-peek ( dst src -- )
|
: eliminate-peek ( dst src -- )
|
||||||
! the requested stack location is already in 'src'
|
! the requested stack location is already in 'src'
|
||||||
[ ##copy ] [ swap copies get set-at ] 2bi ;
|
[ ##copy ] [ swap copies get set-at ] 2bi ;
|
||||||
|
@ -138,7 +109,7 @@ M: ##copy visit
|
||||||
[ call-next-method ] [ record-copy ] bi ;
|
[ call-next-method ] [ record-copy ] bi ;
|
||||||
|
|
||||||
M: ##call visit
|
M: ##call visit
|
||||||
[ call-next-method ] [ height>> adjust-d ] bi ;
|
[ call-next-method ] [ height>> adjust-ds ] bi ;
|
||||||
|
|
||||||
! Instructions that poison the stack state
|
! Instructions that poison the stack state
|
||||||
UNION: poison-insn
|
UNION: poison-insn
|
||||||
|
@ -167,7 +138,7 @@ UNION: kill-vreg-insn
|
||||||
M: kill-vreg-insn visit sync-state , ;
|
M: kill-vreg-insn visit sync-state , ;
|
||||||
|
|
||||||
: visit-alien-node ( node -- )
|
: visit-alien-node ( node -- )
|
||||||
params>> [ out-d>> length ] [ in-d>> length ] bi - adjust-d ;
|
params>> [ out-d>> length ] [ in-d>> length ] bi - adjust-ds ;
|
||||||
|
|
||||||
M: ##alien-invoke visit
|
M: ##alien-invoke visit
|
||||||
[ call-next-method ] [ visit-alien-node ] bi ;
|
[ call-next-method ] [ visit-alien-node ] bi ;
|
||||||
|
@ -180,87 +151,6 @@ M: ##alien-callback visit , ;
|
||||||
! Maps basic-blocks to states
|
! Maps basic-blocks to states
|
||||||
SYMBOLS: state-in state-out ;
|
SYMBOLS: state-in state-out ;
|
||||||
|
|
||||||
: initial-state ( bb states -- state ) 2drop <state> ;
|
|
||||||
|
|
||||||
: single-predecessor ( bb states -- state ) nip first clone ;
|
|
||||||
|
|
||||||
ERROR: must-equal-failed seq ;
|
|
||||||
|
|
||||||
: must-equal ( seq -- elt )
|
|
||||||
dup all-equal? [ first ] [ must-equal-failed ] if ;
|
|
||||||
|
|
||||||
: merge-heights ( state predecessors states -- state )
|
|
||||||
nip
|
|
||||||
[ [ ds-height>> ] map must-equal >>ds-height ]
|
|
||||||
[ [ rs-height>> ] map must-equal >>rs-height ] bi ;
|
|
||||||
|
|
||||||
: insert-peek ( predecessor loc -- vreg )
|
|
||||||
! XXX critical edges
|
|
||||||
'[ _ ^^peek ] add-instructions ;
|
|
||||||
|
|
||||||
: merge-loc ( predecessors locs>vregs loc -- vreg )
|
|
||||||
! Insert a ##phi in the current block where the input
|
|
||||||
! is the vreg storing loc from each predecessor block
|
|
||||||
[ '[ [ _ ] dip at ] map ] keep
|
|
||||||
'[ [ ] [ _ insert-peek ] ?if ] 2map
|
|
||||||
dup all-equal? [ first ] [ ^^phi ] if ;
|
|
||||||
|
|
||||||
: (merge-locs) ( predecessors assocs -- assoc )
|
|
||||||
dup [ keys ] map concat prune
|
|
||||||
[ [ 2nip ] [ merge-loc ] 3bi ] with with
|
|
||||||
H{ } map>assoc ;
|
|
||||||
|
|
||||||
: merge-locs ( state predecessors states -- state )
|
|
||||||
[ locs>vregs>> ] map (merge-locs) >>locs>vregs ;
|
|
||||||
|
|
||||||
: merge-loc' ( locs>vregs loc -- vreg )
|
|
||||||
! Insert a ##phi in the current block where the input
|
|
||||||
! is the vreg storing loc from each predecessor block
|
|
||||||
'[ [ _ ] dip at ] map
|
|
||||||
dup all-equal? [ first ] [ drop f ] if ;
|
|
||||||
|
|
||||||
: merge-actual-locs ( state predecessors states -- state )
|
|
||||||
nip
|
|
||||||
[ actual-locs>vregs>> ] map
|
|
||||||
dup [ keys ] map concat prune
|
|
||||||
[ [ nip ] [ merge-loc' ] 2bi ] with
|
|
||||||
H{ } map>assoc
|
|
||||||
[ nip ] assoc-filter
|
|
||||||
>>actual-locs>vregs ;
|
|
||||||
|
|
||||||
: merge-changed-locs ( state predecessors states -- state )
|
|
||||||
nip [ changed-locs>> ] map assoc-combine >>changed-locs ;
|
|
||||||
|
|
||||||
ERROR: cannot-merge-poisoned states ;
|
|
||||||
|
|
||||||
: multiple-predecessors ( bb states -- state )
|
|
||||||
dup [ not ] any? [
|
|
||||||
[ <state> ] 2dip
|
|
||||||
sift merge-heights
|
|
||||||
] [
|
|
||||||
dup [ poisoned?>> ] any? [
|
|
||||||
cannot-merge-poisoned
|
|
||||||
] [
|
|
||||||
[ state new ] 2dip
|
|
||||||
[ predecessors>> ] dip
|
|
||||||
{
|
|
||||||
[ merge-locs ]
|
|
||||||
[ merge-actual-locs ]
|
|
||||||
[ merge-heights ]
|
|
||||||
[ merge-changed-locs ]
|
|
||||||
} 2cleave
|
|
||||||
] if
|
|
||||||
] if ;
|
|
||||||
|
|
||||||
: merge-states ( bb states -- state )
|
|
||||||
! If any states are poisoned, save all registers
|
|
||||||
! to the stack in each branch
|
|
||||||
dup length {
|
|
||||||
{ 0 [ initial-state ] }
|
|
||||||
{ 1 [ single-predecessor ] }
|
|
||||||
[ drop multiple-predecessors ]
|
|
||||||
} case ;
|
|
||||||
|
|
||||||
: block-in-state ( bb -- states )
|
: block-in-state ( bb -- states )
|
||||||
dup predecessors>> state-out get '[ _ at ] map merge-states ;
|
dup predecessors>> state-out get '[ _ at ] map merge-states ;
|
||||||
|
|
||||||
|
|
|
@ -0,0 +1,43 @@
|
||||||
|
! Copyright (C) 2009 Slava Pestov.
|
||||||
|
! See http://factorcode.org/license.txt for BSD license.
|
||||||
|
USING: kernel accessors namespaces assocs sets math ;
|
||||||
|
IN: compiler.cfg.stack-analysis.state
|
||||||
|
|
||||||
|
TUPLE: state
|
||||||
|
locs>vregs actual-locs>vregs changed-locs
|
||||||
|
ds-height rs-height poisoned? ;
|
||||||
|
|
||||||
|
: <state> ( -- state )
|
||||||
|
state new
|
||||||
|
H{ } clone >>locs>vregs
|
||||||
|
H{ } clone >>actual-locs>vregs
|
||||||
|
H{ } clone >>changed-locs
|
||||||
|
0 >>ds-height
|
||||||
|
0 >>rs-height ;
|
||||||
|
|
||||||
|
M: state clone
|
||||||
|
call-next-method
|
||||||
|
[ clone ] change-locs>vregs
|
||||||
|
[ clone ] change-actual-locs>vregs
|
||||||
|
[ clone ] change-changed-locs ;
|
||||||
|
|
||||||
|
: loc>vreg ( loc -- vreg ) state get locs>vregs>> at ;
|
||||||
|
|
||||||
|
: record-peek ( dst loc -- )
|
||||||
|
state get [ locs>vregs>> set-at ] [ actual-locs>vregs>> set-at ] 3bi ;
|
||||||
|
|
||||||
|
: changed-loc ( loc -- )
|
||||||
|
state get changed-locs>> conjoin ;
|
||||||
|
|
||||||
|
: record-replace ( src loc -- )
|
||||||
|
dup changed-loc state get locs>vregs>> set-at ;
|
||||||
|
|
||||||
|
: clear-state ( state -- )
|
||||||
|
[ locs>vregs>> clear-assoc ]
|
||||||
|
[ actual-locs>vregs>> clear-assoc ]
|
||||||
|
[ changed-locs>> clear-assoc ]
|
||||||
|
tri ;
|
||||||
|
|
||||||
|
: adjust-ds ( n -- ) state get [ + ] change-ds-height drop ;
|
||||||
|
|
||||||
|
: adjust-rs ( n -- ) state get [ + ] change-rs-height drop ;
|
|
@ -3,10 +3,8 @@ IN: math.primes.erato
|
||||||
|
|
||||||
HELP: sieve
|
HELP: sieve
|
||||||
{ $values { "n" "the greatest odd number to consider" } { "arr" "a bit array" } }
|
{ $values { "n" "the greatest odd number to consider" } { "arr" "a bit array" } }
|
||||||
{ $description "Return a bit array containing a primality bit for every odd number between 3 and " { $snippet "n" } " (inclusive). " { $snippet ">index" } " can be used to retrieve the index of an odd number to be tested." } ;
|
{ $description "Apply Eratostene sieve up to " { $snippet "n" } ". Primality can then be tested using " { $link sieve } "." } ;
|
||||||
|
|
||||||
HELP: >index
|
HELP: marked-prime?
|
||||||
{ $values { "n" "an odd number" } { "i" "the corresponding index" } }
|
{ $values { "n" "an integer" } { "arr" "a byte array returned by " { $link sieve } } { "?" "a boolean" } }
|
||||||
{ $description "Retrieve the index corresponding to the odd number on the stack." } ;
|
{ $description "Check whether a number between 3 and the limit given to " { $link sieve } " has been marked as a prime number."} ;
|
||||||
|
|
||||||
{ sieve >index } related-words
|
|
||||||
|
|
|
@ -1,3 +1,10 @@
|
||||||
USING: bit-arrays math.primes.erato tools.test ;
|
USING: byte-arrays math math.bitwise math.primes.erato sequences tools.test ;
|
||||||
|
|
||||||
[ ?{ t t t f t t f t t f t f f t } ] [ 29 sieve ] unit-test
|
[ B{ 255 251 247 126 } ] [ 100 sieve ] unit-test
|
||||||
|
[ 1 100 sieve marked-prime? ] [ bounds-error? ] must-fail-with
|
||||||
|
[ 120 100 sieve marked-prime? ] [ bounds-error? ] must-fail-with
|
||||||
|
[ f ] [ 119 100 sieve marked-prime? ] unit-test
|
||||||
|
[ t ] [ 113 100 sieve marked-prime? ] unit-test
|
||||||
|
|
||||||
|
! There are 25997 primes below 300000. 1 must be removed and 3 5 7 added.
|
||||||
|
[ 25997 ] [ 299999 sieve [ bit-count ] sigma 2 + ] unit-test
|
|
@ -1,25 +1,41 @@
|
||||||
! Copyright (C) 2009 Samuel Tardieu.
|
! Copyright (C) 2009 Samuel Tardieu.
|
||||||
! See http://factorcode.org/license.txt for BSD license.
|
! See http://factorcode.org/license.txt for BSD license.
|
||||||
USING: bit-arrays kernel math math.functions math.ranges sequences ;
|
USING: arrays byte-arrays kernel math math.bitwise math.functions math.order
|
||||||
|
math.ranges sequences sequences.private ;
|
||||||
IN: math.primes.erato
|
IN: math.primes.erato
|
||||||
|
|
||||||
: >index ( n -- i )
|
<PRIVATE
|
||||||
3 - 2 /i ; inline
|
|
||||||
|
|
||||||
: index> ( i -- n )
|
CONSTANT: masks B{ 0 128 0 0 0 0 0 64 0 0 0 32 0 16 0 0 0 8 0 4 0 0 0 2 0 0 0 0 0 1 }
|
||||||
2 * 3 + ; inline
|
|
||||||
|
|
||||||
: mark-multiples ( i arr -- )
|
: bit-pos ( n -- byte/f mask/f )
|
||||||
[ index> [ sq >index ] keep ] dip
|
30 /mod masks nth-unsafe dup zero? [ 2drop f f ] when ;
|
||||||
[ length 1 - swap <range> f swap ] keep
|
|
||||||
[ set-nth ] curry with each ;
|
|
||||||
|
|
||||||
: maybe-mark-multiples ( i arr -- )
|
: marked-unsafe? ( n arr -- ? )
|
||||||
2dup nth [ mark-multiples ] [ 2drop ] if ;
|
[ bit-pos ] dip swap [ [ nth-unsafe ] [ bitand zero? not ] bi* ] [ 2drop f ] if* ;
|
||||||
|
|
||||||
: init-sieve ( n -- arr )
|
: unmark ( n arr -- )
|
||||||
>index 1 + <bit-array> dup set-bits ;
|
[ bit-pos swap ] dip
|
||||||
|
over [ [ swap unmask ] change-nth-unsafe ] [ 3drop ] if ;
|
||||||
|
|
||||||
|
: upper-bound ( arr -- n ) length 30 * 1 - ;
|
||||||
|
|
||||||
|
: unmark-multiples ( i arr -- )
|
||||||
|
2dup marked-unsafe? [
|
||||||
|
[ [ dup sq ] [ upper-bound ] bi* rot <range> ] keep
|
||||||
|
[ unmark ] curry each
|
||||||
|
] [
|
||||||
|
2drop
|
||||||
|
] if ;
|
||||||
|
|
||||||
|
: init-sieve ( n -- arr ) 29 + 30 /i 255 <array> >byte-array ;
|
||||||
|
|
||||||
|
PRIVATE>
|
||||||
|
|
||||||
: sieve ( n -- arr )
|
: sieve ( n -- arr )
|
||||||
[ init-sieve ] [ sqrt >index [0,b] ] bi
|
init-sieve [ 2 swap upper-bound sqrt [a,b] ] keep
|
||||||
over [ maybe-mark-multiples ] curry each ; foldable
|
[ [ unmark-multiples ] curry each ] keep ;
|
||||||
|
|
||||||
|
: marked-prime? ( n arr -- ? )
|
||||||
|
2dup upper-bound 2 swap between? [ bounds-error ] unless
|
||||||
|
over { 2 3 5 } member? [ 2drop t ] [ marked-unsafe? ] if ;
|
|
@ -1,5 +1,5 @@
|
||||||
USING: arrays math math.primes math.primes.miller-rabin
|
USING: arrays kernel math math.primes math.primes.miller-rabin
|
||||||
tools.test ;
|
sequences tools.test ;
|
||||||
IN: math.primes.tests
|
IN: math.primes.tests
|
||||||
|
|
||||||
{ 1237 } [ 1234 next-prime ] unit-test
|
{ 1237 } [ 1234 next-prime ] unit-test
|
||||||
|
@ -10,6 +10,9 @@ IN: math.primes.tests
|
||||||
{ { 4999963 4999999 5000011 5000077 5000081 } }
|
{ { 4999963 4999999 5000011 5000077 5000081 } }
|
||||||
[ 4999962 5000082 primes-between >array ] unit-test
|
[ 4999962 5000082 primes-between >array ] unit-test
|
||||||
|
|
||||||
|
{ { 8999981 8999993 9000011 9000041 } }
|
||||||
|
[ 8999980 9000045 primes-between >array ] unit-test
|
||||||
|
|
||||||
[ 2 ] [ 1 next-prime ] unit-test
|
[ 2 ] [ 1 next-prime ] unit-test
|
||||||
[ 3 ] [ 2 next-prime ] unit-test
|
[ 3 ] [ 2 next-prime ] unit-test
|
||||||
[ 5 ] [ 3 next-prime ] unit-test
|
[ 5 ] [ 3 next-prime ] unit-test
|
||||||
|
@ -18,3 +21,8 @@ IN: math.primes.tests
|
||||||
[ 100000000000031 ] [ 100000000000000 next-prime ] unit-test
|
[ 100000000000031 ] [ 100000000000000 next-prime ] unit-test
|
||||||
|
|
||||||
[ 49 ] [ 50 random-prime log2 ] unit-test
|
[ 49 ] [ 50 random-prime log2 ] unit-test
|
||||||
|
|
||||||
|
[ t ] [ 5000077 dup find-relative-prime coprime? ] unit-test
|
||||||
|
|
||||||
|
[ 5 t { 14 14 14 14 14 } ]
|
||||||
|
[ 5 15 unique-primes [ length ] [ [ prime? ] all? ] [ [ log2 ] map ] tri ] unit-test
|
||||||
|
|
|
@ -1,37 +1,55 @@
|
||||||
! Copyright (C) 2007-2009 Samuel Tardieu.
|
! Copyright (C) 2007-2009 Samuel Tardieu.
|
||||||
! See http://factorcode.org/license.txt for BSD license.
|
! See http://factorcode.org/license.txt for BSD license.
|
||||||
USING: combinators kernel math math.bitwise math.functions
|
USING: combinators combinators.short-circuit fry kernel math
|
||||||
math.order math.primes.erato math.primes.miller-rabin
|
math.bitwise math.functions math.order math.primes.erato
|
||||||
math.ranges random sequences sets fry ;
|
math.primes.erato.private math.primes.miller-rabin math.ranges
|
||||||
|
literals random sequences sets vectors ;
|
||||||
IN: math.primes
|
IN: math.primes
|
||||||
|
|
||||||
<PRIVATE
|
<PRIVATE
|
||||||
|
|
||||||
: look-in-bitmap ( n -- ? ) >index 4999999 sieve nth ;
|
: look-in-bitmap ( n -- ? ) $[ 8999999 sieve ] marked-unsafe? ; inline
|
||||||
|
|
||||||
: really-prime? ( n -- ? )
|
: (prime?) ( n -- ? )
|
||||||
dup 5000000 < [ look-in-bitmap ] [ miller-rabin ] if ; foldable
|
dup 8999999 <= [ look-in-bitmap ] [ miller-rabin ] if ;
|
||||||
|
|
||||||
|
! In order not to reallocate large vectors, we compute the upper bound
|
||||||
|
! of the number of primes in a given interval. We use a double inequality given
|
||||||
|
! by Pierre Dusart in http://www.ams.org/mathscinet-getitem?mr=99d:11133
|
||||||
|
! for x > 598. Under this limit, we know that there are at most 108 primes.
|
||||||
|
: upper-pi ( x -- y )
|
||||||
|
dup log [ / ] [ 1.2762 swap / 1 + ] bi * ceiling ;
|
||||||
|
|
||||||
|
: lower-pi ( x -- y )
|
||||||
|
dup log [ / ] [ 0.992 swap / 1 + ] bi * floor ;
|
||||||
|
|
||||||
|
: <primes-vector> ( low high -- vector )
|
||||||
|
swap [ [ upper-pi ] [ lower-pi ] bi* - >integer
|
||||||
|
108 max 10000 min <vector> ] keep
|
||||||
|
3 < [ [ 2 swap push ] keep ] when ;
|
||||||
|
|
||||||
|
: simple? ( n -- ? ) { [ even? ] [ 3 mod 0 = ] [ 5 mod 0 = ] } 1|| ;
|
||||||
|
|
||||||
PRIVATE>
|
PRIVATE>
|
||||||
|
|
||||||
: prime? ( n -- ? )
|
: prime? ( n -- ? )
|
||||||
{
|
{
|
||||||
{ [ dup 2 < ] [ drop f ] }
|
{ [ dup 7 < ] [ { 2 3 5 } member? ] }
|
||||||
{ [ dup even? ] [ 2 = ] }
|
{ [ dup simple? ] [ drop f ] }
|
||||||
[ really-prime? ]
|
[ (prime?) ]
|
||||||
} cond ; foldable
|
} cond ; foldable
|
||||||
|
|
||||||
: next-prime ( n -- p )
|
: next-prime ( n -- p )
|
||||||
dup 2 < [
|
dup 2 < [
|
||||||
drop 2
|
drop 2
|
||||||
] [
|
] [
|
||||||
next-odd [ dup really-prime? ] [ 2 + ] until
|
next-odd [ dup prime? ] [ 2 + ] until
|
||||||
] if ; foldable
|
] if ; foldable
|
||||||
|
|
||||||
: primes-between ( low high -- seq )
|
: primes-between ( low high -- seq )
|
||||||
[ dup 3 max dup even? [ 1 + ] when ] dip
|
[ [ 3 max dup even? [ 1 + ] when ] dip 2 <range> ]
|
||||||
2 <range> [ prime? ] filter
|
[ <primes-vector> ] 2bi
|
||||||
swap 3 < [ 2 prefix ] when ;
|
[ '[ [ prime? ] _ push-if ] each ] keep clone ;
|
||||||
|
|
||||||
: primes-upto ( n -- seq ) 2 swap primes-between ;
|
: primes-upto ( n -- seq ) 2 swap primes-between ;
|
||||||
|
|
||||||
|
@ -65,5 +83,5 @@ ERROR: too-few-primes n numbits ;
|
||||||
|
|
||||||
: unique-primes ( n numbits -- seq )
|
: unique-primes ( n numbits -- seq )
|
||||||
2dup 2^ estimated-primes > [ too-few-primes ] when
|
2dup 2^ estimated-primes > [ too-few-primes ] when
|
||||||
2dup '[ _ random-prime ] replicate
|
2dup [ random-prime ] curry replicate
|
||||||
dup all-unique? [ 2nip ] [ drop unique-primes ] if ;
|
dup all-unique? [ 2nip ] [ drop unique-primes ] if ;
|
||||||
|
|
Loading…
Reference in New Issue