Merge branch 'master' of git://factorcode.org/git/factor

db4
Doug Coleman 2008-08-10 00:01:12 -05:00
commit 484e19b2cf
23 changed files with 343 additions and 64 deletions

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Daniel Ehrenberg

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USING: help.markup help.syntax kernel sequences ;
IN: persistent.deques
ARTICLE: "persistent.deques" "Persistent deques"
"A deque is a data structure that can be used as both a queue and a stack. That is, there are two ends, the left and the right, and values can be pushed onto and popped off of both ends. These operations take O(1) amortized time and space in a normal usage pattern."
$nl
"This vocabulary provides a deque implementation which is persistent and purely functional: old versions of deques are not modified by operations. Instead, each push and pop operation creates a new deque based off the old one."
$nl
"The class of persistent deques:"
{ $subsection deque }
"To create a deque:"
{ $subsection <deque> }
{ $subsection sequence>deque }
"To test if a deque is empty:"
{ $subsection deque-empty? }
"To manipulate deques:"
{ $subsection push-left }
{ $subsection push-right }
{ $subsection pop-left }
{ $subsection pop-right }
{ $subsection deque>sequence } ;
HELP: deque
{ $class-description "This is the class of persistent (functional) double-ended queues. All deque operations can be done in O(1) amortized time for single-threaded access while maintaining the old version. For more information, see " { $link "persistent.deques" } "." } ;
HELP: <deque>
{ $values { "deque" "an empty deque" } }
{ $description "Creates an empty deque." } ;
HELP: sequence>deque
{ $values { "sequence" sequence } { "deque" deque } }
{ $description "Given a sequence, creates a deque containing those elements in the order such that the beginning of the sequence is on the left and the end is on the right." } ;
HELP: deque>sequence
{ $values { "deque" deque } { "sequence" sequence } }
{ $description "Given a deque, creates a sequence containing those elements, such that the left side of the deque is the beginning of the sequence." } ;
HELP: deque-empty?
{ $values { "deque" deque } { "?" "t/f" } }
{ $description "Returns true if the deque is empty. This takes constant time." } ;
HELP: push-left
{ $values { "deque" deque } { "item" object } { "newdeque" deque } }
{ $description "Creates a new deque with the given object pushed onto the left side. This takes constant time." } ;
HELP: push-right
{ $values { "deque" deque } { "item" object } { "newdeque" deque } }
{ $description "Creates a new deque with the given object pushed onto the right side. This takes constant time." } ;
HELP: pop-left
{ $values { "deque" object } { "item" object } { "newdeque" deque } }
{ $description "Creates a new deque with the leftmost item removed. This takes amortized constant time with single-threaded access." } ;
HELP: pop-right
{ $values { "deque" object } { "item" object } { "newdeque" deque } }
{ $description "Creates a new deque with the rightmost item removed. This takes amortized constant time with single-threaded access." } ;

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! Copyright (C) 2008 Daniel Ehrenberg
! See http://factorcode.org/license.txt for BSD license.
USING: tools.test persistent.deques kernel math ;
IN: persistent.deques.tests
[ 3 2 1 t ]
[ { 1 2 3 } sequence>deque 3 [ pop-right ] times deque-empty? ] unit-test
[ 1 2 3 t ]
[ { 1 2 3 } sequence>deque 3 [ pop-left ] times deque-empty? ] unit-test
[ 1 3 2 t ]
[ { 1 2 3 } sequence>deque pop-left 2 [ pop-right ] times deque-empty? ]
unit-test
[ { 2 3 4 5 6 1 } ]
[ { 1 2 3 4 5 6 } sequence>deque pop-left swap push-right deque>sequence ]
unit-test
[ 1 t ] [ <deque> 1 push-left pop-right deque-empty? ] unit-test
[ 1 t ] [ <deque> 1 push-left pop-left deque-empty? ] unit-test
[ 1 t ] [ <deque> 1 push-right pop-left deque-empty? ] unit-test
[ 1 t ] [ <deque> 1 push-right pop-right deque-empty? ] unit-test
[ 1 f ]
[ <deque> 1 push-left 2 push-left pop-right deque-empty? ] unit-test
[ 1 f ]
[ <deque> 1 push-right 2 push-right pop-left deque-empty? ] unit-test
[ 2 f ]
[ <deque> 1 push-right 2 push-right pop-right deque-empty? ] unit-test
[ 2 f ]
[ <deque> 1 push-left 2 push-left pop-left deque-empty? ] unit-test

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! Copyright (C) 2008 Daniel Ehrenberg
! See http://factorcode.org/license.txt for BSD license.
USING: kernel accessors math qualified ;
QUALIFIED: sequences
IN: persistent.deques
! Amortized O(1) push/pop on both ends for single-threaded access
! In a pathological case, if there are m modified versions from the
! same source, it could take O(m) amortized time per update.
<PRIVATE
TUPLE: cons { car read-only } { cdr read-only } ;
C: <cons> cons
: each ( list quot -- )
over
[ [ >r car>> r> call ] [ >r cdr>> r> ] 2bi each ]
[ 2drop ] if ; inline
: reduce ( list start quot -- end )
swapd each ; inline
: reverse ( list -- reversed )
f [ swap <cons> ] reduce ;
: length ( list -- length )
0 [ drop 1+ ] reduce ;
: cut ( list index -- back front-reversed )
f swap [ >r [ cdr>> ] [ car>> ] bi r> <cons> ] times ;
: split-reverse ( list -- back-reversed front )
dup length 2/ cut [ reverse ] bi@ ;
PRIVATE>
TUPLE: deque { lhs read-only } { rhs read-only } ;
: <deque> ( -- deque ) T{ deque } ;
: deque-empty? ( deque -- ? )
[ lhs>> ] [ rhs>> ] bi or not ;
: push-left ( deque item -- newdeque )
swap [ lhs>> <cons> ] [ rhs>> ] bi deque boa ;
: push-right ( deque item -- newdeque )
swap [ rhs>> <cons> ] [ lhs>> ] bi swap deque boa ;
<PRIVATE
: (pop-left) ( deque -- item newdeque )
[ lhs>> car>> ] [ [ lhs>> cdr>> ] [ rhs>> ] bi deque boa ] bi ;
: transfer-left ( deque -- item newdeque )
rhs>> [ split-reverse deque boa (pop-left) ]
[ "Popping from an empty deque" throw ] if* ;
PRIVATE>
: pop-left ( deque -- item newdeque )
dup lhs>> [ (pop-left) ] [ transfer-left ] if ;
<PRIVATE
: (pop-right) ( deque -- item newdeque )
[ rhs>> car>> ] [ [ lhs>> ] [ rhs>> cdr>> ] bi deque boa ] bi ;
: transfer-right ( deque -- newdeque item )
lhs>> [ split-reverse deque boa (pop-left) ]
[ "Popping from an empty deque" throw ] if* ;
PRIVATE>
: pop-right ( deque -- item newdeque )
dup rhs>> [ (pop-right) ] [ transfer-right ] if ;
: sequence>deque ( sequence -- deque )
<deque> [ push-right ] sequences:reduce ;
: deque>sequence ( deque -- sequence )
[ dup deque-empty? not ] [ pop-left swap ] [ ] sequences:produce nip ;

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Persistent amortized O(1) deques

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collections

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! Copyright (C) 2008 Slava Pestov.
! See http://factorcode.org/license.txt for BSD license.
USING: sequences kernel sets namespaces accessors assocs
arrays combinators continuations
compiler.tree
compiler.tree.def-use
compiler.tree.combinators ;
IN: compiler.tree.checker
! Check some invariants.
ERROR: check-use-error value message ;
: check-use ( value uses -- )
[ empty? [ "No use" check-use-error ] [ drop ] if ]
[ all-unique? [ drop ] [ "Uses not all unique" check-use-error ] if ] 2bi ;
: check-def-use ( -- )
def-use get [ uses>> check-use ] assoc-each ;
GENERIC: check-node ( node -- )
M: #shuffle check-node
[ [ mapping>> values ] [ in-d>> ] bi subset? [ "Bad mapping inputs" throw ] unless ]
[ [ mapping>> keys ] [ out-d>> ] bi set= [ "Bad mapping outputs" throw ] unless ]
bi ;
: check-lengths ( seq -- )
[ length ] map all-equal? [ "Bad lengths" throw ] unless ;
M: #copy check-node inputs/outputs 2array check-lengths ;
M: #>r check-node inputs/outputs 2array check-lengths ;
M: #r> check-node inputs/outputs 2array check-lengths ;
M: #return-recursive check-node inputs/outputs 2array check-lengths ;
M: #phi check-node
{
[ [ phi-in-d>> ] [ out-d>> ] bi 2array check-lengths ]
[ [ phi-in-r>> ] [ out-r>> ] bi 2array check-lengths ]
[ phi-in-d>> check-lengths ]
[ phi-in-r>> check-lengths ]
} cleave ;
M: #enter-recursive check-node
[ [ in-d>> ] [ out-d>> ] bi 2array check-lengths ]
[ [ label>> calls>> [ in-d>> ] map ] [ in-d>> ] bi suffix check-lengths ]
bi ;
M: #push check-node
out-d>> length 1 = [ "Bad #push" throw ] unless ;
M: node check-node drop ;
ERROR: check-node-error node error ;
: check-nodes ( nodes -- )
compute-def-use
check-def-use
[ [ check-node ] [ check-node-error ] recover ] each-node ;

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@ -105,10 +105,10 @@ SYMBOL: live-branches
M: #branch cleanup*
{
[ live-branches>> live-branches set ]
[ delete-unreachable-branches ]
[ cleanup-children ]
[ fold-only-branch ]
[ live-branches>> live-branches set ]
} cleave ;
: cleanup-phi-in ( phi-in live-branches -- phi-in' )
@ -122,7 +122,8 @@ M: #phi cleanup*
[ '[ , cleanup-phi-in ] change-phi-in-r ]
[ '[ , cleanup-phi-in ] change-phi-info-d ]
[ '[ , cleanup-phi-in ] change-phi-info-r ]
} cleave ;
} cleave
live-branches off ;
: >copy ( node -- #copy ) [ in-d>> ] [ out-d>> ] bi #copy ;

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@ -1,8 +1,9 @@
! Copyright (C) 2008 Slava Pestov.
! See http://factorcode.org/license.txt for BSD license.
USING: fry accessors namespaces assocs dequeues search-dequeues
kernel sequences words sets stack-checker.inlining compiler.tree
compiler.tree.def-use compiler.tree.combinators ;
kernel sequences words sets
stack-checker.branches stack-checker.inlining
compiler.tree compiler.tree.def-use compiler.tree.combinators ;
IN: compiler.tree.dataflow-analysis
! Dataflow analysis
@ -34,5 +35,5 @@ SYMBOL: work-list
: dfa ( node mark-quot iterate-quot -- assoc )
init-dfa
[ each-node ] dip
work-list get H{ { f f } } clone
work-list get H{ { +bottom+ f } } clone
[ rot '[ , , iterate-dfa ] slurp-dequeue ] keep ; inline

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@ -1,7 +1,9 @@
USING: accessors namespaces assocs kernel sequences math
tools.test words sets combinators.short-circuit
stack-checker.state compiler.tree compiler.tree.builder
compiler.tree.def-use arrays kernel.private ;
compiler.tree.normalization compiler.tree.propagation
compiler.tree.cleanup compiler.tree.def-use arrays kernel.private
sorting math.order binary-search compiler.tree.checker ;
IN: compiler.tree.def-use.tests
\ compute-def-use must-infer
@ -14,8 +16,16 @@ IN: compiler.tree.def-use.tests
} 1&&
] unit-test
! compute-def-use checks for SSA violations, so we make sure
! some common patterns are generated correctly.
: test-def-use ( quot -- )
build-tree
normalize
propagate
cleanup
compute-def-use
check-nodes ;
! compute-def-use checks for SSA violations, so we use that to
! ensure we generate some common patterns correctly.
{
[ [ drop ] each-integer ]
[ [ 2drop ] curry each-integer ]
@ -28,6 +38,10 @@ IN: compiler.tree.def-use.tests
[ [ 1 ] 2 [ + ] curry compose call + ]
[ [ 1 ] [ call 2 ] curry call + ]
[ [ 1 ] [ 2 ] compose swap [ 1 ] [ 2 ] if + * ]
[ dup slice? [ dup array? [ ] [ ] if ] [ ] if ]
[ dup [ drop f ] [ "A" throw ] if ]
[ [ <=> ] sort ]
[ [ <=> ] with search ]
} [
[ ] swap [ build-tree compute-def-use drop ] curry unit-test
[ ] swap [ test-def-use ] curry unit-test
] each

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@ -1,8 +1,11 @@
! Copyright (C) 2008 Slava Pestov.
! See http://factorcode.org/license.txt for BSD license.
USING: arrays namespaces assocs sequences kernel generic assocs
classes vectors accessors combinators sets stack-checker.state
compiler.tree compiler.tree.combinators ;
classes vectors accessors combinators sets
stack-checker.state
stack-checker.branches
compiler.tree
compiler.tree.combinators ;
IN: compiler.tree.def-use
SYMBOL: def-use
@ -37,7 +40,8 @@ M: #introduce node-uses-values drop f ;
M: #push node-uses-values drop f ;
M: #r> node-uses-values in-r>> ;
M: #phi node-uses-values
[ phi-in-d>> ] [ phi-in-r>> ] bi append concat sift prune ;
[ phi-in-d>> ] [ phi-in-r>> ] bi
append concat remove-bottom prune ;
M: #declare node-uses-values declaration>> keys ;
M: node node-uses-values in-d>> ;
@ -57,14 +61,6 @@ M: node node-defs-values out-d>> ;
[ dup node-uses-values [ use-value ] with each ]
[ dup node-defs-values [ def-value ] with each ] bi ;
: check-use ( uses -- )
[ empty? [ "No use" throw ] when ]
[ all-unique? [ "Uses not all unique" throw ] unless ] bi ;
: check-def-use ( -- )
def-use get [ nip uses>> check-use ] assoc-each ;
: compute-def-use ( node -- node )
H{ } clone def-use set
dup [ node-def-use ] each-node
check-def-use ;
dup [ node-def-use ] each-node ;

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@ -9,7 +9,9 @@ compiler.tree.escape-analysis.allocations ;
IN: compiler.tree.escape-analysis.branches
M: #branch escape-analysis*
live-children sift [ (escape-analysis) ] each ;
[ in-d>> add-escaping-values ]
[ live-children sift [ (escape-analysis) ] each ]
bi ;
: (merge-allocations) ( values -- allocation )
[
@ -25,7 +27,7 @@ M: #branch escape-analysis*
] map ;
: merge-allocations ( in-values out-values -- )
[ [ sift ] map ] dip
[ [ remove-bottom ] map ] dip
[ [ merge-values ] 2each ]
[ [ (merge-allocations) ] dip record-allocations ]
2bi ;

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@ -5,7 +5,8 @@ compiler.tree.normalization math.functions
compiler.tree.propagation compiler.tree.cleanup
compiler.tree.combinators compiler.tree sequences math math.private
kernel tools.test accessors slots.private quotations.private
prettyprint classes.tuple.private classes classes.tuple ;
prettyprint classes.tuple.private classes classes.tuple
compiler.tree.intrinsics ;
\ escape-analysis must-infer
@ -15,7 +16,7 @@ GENERIC: count-unboxed-allocations* ( m node -- n )
out-d>> first escaping-allocation? [ 1+ ] unless ;
M: #call count-unboxed-allocations*
dup word>> { <tuple-boa> <complex> } memq?
dup word>> { <immutable-tuple-boa> <complex> } memq?
[ (count-unboxed-allocations) ] [ drop ] if ;
M: #push count-unboxed-allocations*

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@ -18,9 +18,7 @@ IN: compiler.tree.escape-analysis.recursive
} cond ;
: check-fixed-point ( node alloc1 alloc2 -- )
[ congruent? ] 2all? [ drop ] [
label>> f >>fixed-point drop
] if ;
[ congruent? ] 2all? [ drop ] [ label>> f >>fixed-point drop ] if ;
: node-input-allocations ( node -- allocations )
in-d>> [ allocation ] map ;
@ -44,13 +42,14 @@ IN: compiler.tree.escape-analysis.recursive
] 2bi ;
M: #recursive escape-analysis* ( #recursive -- )
[
{ 0 } clone [ USE: math
dup first 10 = [ "OOPS" throw ] [ dup first 1+ swap set-first ] if
child>>
[ first out-d>> introduce-values ]
[ first analyze-recursive-phi ]
[ (escape-analysis) ]
tri
] until-fixed-point ;
] curry until-fixed-point ;
M: #enter-recursive escape-analysis* ( #enter-recursive -- )
#! Handled by #recursive

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@ -33,8 +33,10 @@ DEFER: record-literal-allocation
} cond ;
: record-literal-allocation ( value object -- )
object-slots dup
[ make-literal-slots swap record-allocation ] [ 2drop ] if ;
object-slots
[ make-literal-slots swap record-allocation ]
[ unknown-allocation ]
if* ;
M: #push escape-analysis*
#! Delegation.

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@ -1,6 +1,6 @@
IN: compiler.tree.normalization.tests
USING: compiler.tree.builder compiler.tree.normalization
compiler.tree sequences accessors tools.test kernel ;
compiler.tree sequences accessors tools.test kernel math ;
\ count-introductions must-infer
\ fixup-enter-recursive must-infer
@ -25,3 +25,5 @@ compiler.tree sequences accessors tools.test kernel ;
[ recursive-inputs ]
[ normalize recursive-inputs ] bi
] unit-test
[ ] [ [ [ 1 ] [ 2 ] if + * ] build-tree normalize drop ] unit-test

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@ -1,7 +1,10 @@
! Copyright (C) 2008 Slava Pestov.
! See http://factorcode.org/license.txt for BSD license.
USING: fry namespaces sequences math accessors kernel arrays
stack-checker.backend stack-checker.inlining compiler.tree
stack-checker.backend
stack-checker.branches
stack-checker.inlining
compiler.tree
compiler.tree.combinators ;
IN: compiler.tree.normalization
@ -97,7 +100,12 @@ M: #branch eliminate-introductions*
bi ;
: eliminate-phi-introductions ( introductions seq terminated -- seq' )
[ flip ] dip [ [ nip ] [ over length tail append ] if ] 3map flip ;
[ flip ] dip [
[ nip ] [
dup [ +bottom+ eq? ] left-trim
[ [ length ] bi@ - tail* ] keep append
] if
] 3map flip ;
M: #phi eliminate-introductions*
remaining-introductions get swap dup terminated>>

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@ -2,6 +2,7 @@
! See http://factorcode.org/license.txt for BSD license.
USING: fry kernel sequences assocs accessors namespaces
math.intervals arrays classes.algebra combinators
stack-checker.branches
compiler.tree
compiler.tree.def-use
compiler.tree.combinators
@ -59,7 +60,14 @@ SYMBOL: infer-children-data
: compute-phi-input-infos ( phi-in -- phi-info )
infer-children-data get
'[ , [ [ [ value-info ] [ null-info ] if* ] bind ] 2map ] map ;
'[
, [
[
dup +bottom+ eq?
[ drop null-info ] [ value-info ] if
] bind
] 2map
] map ;
: annotate-phi-inputs ( #phi -- )
dup phi-in-d>> compute-phi-input-infos >>phi-info-d
@ -139,10 +147,10 @@ M: #phi propagate-before ( #phi -- )
M: #phi propagate-after ( #phi -- )
condition-value get [
[ out-d>> ] [ phi-in-d>> ] [ phi-info-d>> ] tri
3array flip [
first3 [ possible-boolean-values ] map
[
[ possible-boolean-values ] map
branch-phi-constraints
] each
] 3each
] [ drop ] if ;
M: #phi propagate-around ( #phi -- )

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@ -2,6 +2,7 @@
! See http://factorcode.org/license.txt for BSD license.
USING: namespaces sequences assocs math kernel accessors fry
combinators sets locals
stack-checker.branches
compiler.tree
compiler.tree.def-use
compiler.tree.combinators ;
@ -42,7 +43,7 @@ M: #renaming compute-copy-equiv* inputs/outputs are-copies-of ;
#! An output is a copy of every input if all inputs are
#! copies of the same original value.
[
swap sift [ resolve-copy ] map
swap remove-bottom [ resolve-copy ] map
dup [ all-equal? ] [ empty? not ] bi and
[ first swap is-copy-of ] [ 2drop ] if
] 2each ;

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@ -39,7 +39,7 @@ IN: compiler.tree.propagation.recursive
: unify-recursive-stacks ( stacks initial -- infos )
over empty? [ nip ] [
[
[ sift value-infos-union ] dip
[ value-infos-union ] dip
[ generalize-counter ] keep
value-info-union
] 2map

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@ -1,24 +1,22 @@
IN: compiler.tree.tuple-unboxing.tests
USING: tools.test compiler.tree.tuple-unboxing
compiler.tree compiler.tree.builder compiler.tree.normalization
USING: tools.test compiler.tree.tuple-unboxing compiler.tree
compiler.tree.builder compiler.tree.normalization
compiler.tree.propagation compiler.tree.cleanup
compiler.tree.escape-analysis compiler.tree.tuple-unboxing
compiler.tree.def-use kernel accessors sequences math
sorting math.order binary-search ;
compiler.tree.checker compiler.tree.def-use kernel accessors
sequences math math.private sorting math.order binary-search
sequences.private slots.private ;
\ unbox-tuples must-infer
: test-unboxing ( quot -- )
#! Just make sure it doesn't throw errors; compute def use
#! for kicks.
build-tree
normalize
propagate
cleanup
escape-analysis
unbox-tuples
compute-def-use
drop ;
check-nodes ;
TUPLE: cons { car read-only } { cdr read-only } ;
@ -30,6 +28,12 @@ TUPLE: empty-tuple ;
[ cons boa [ car>> ] [ cdr>> ] bi ]
[ [ 1 cons boa ] [ 2 cons boa ] if car>> ]
[ dup cons boa 10 [ nip dup cons boa ] each-integer car>> ]
[ 2 cons boa { [ ] [ ] } dispatch ]
[ dup [ drop f ] [ "A" throw ] if ]
[ [ ] [ ] curry curry dup 3 slot swap 4 slot dup 3 slot swap 4 slot drop ]
[ [ ] [ ] curry curry call ]
[ <complex> <complex> dup 1 slot drop 2 slot drop ]
[ 1 cons boa over [ "A" throw ] when car>> ]
[ [ <=> ] sort ]
[ [ <=> ] with search ]
} [ [ ] swap [ test-unboxing ] curry unit-test ] each

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@ -3,6 +3,7 @@
USING: namespaces assocs accessors kernel combinators
classes.algebra sequences sequences.deep slots.private
classes.tuple.private math math.private arrays
stack-checker.branches
compiler.tree
compiler.tree.intrinsics
compiler.tree.combinators
@ -43,15 +44,13 @@ M: #push unbox-tuples* ( #push -- nodes )
: flatten-values ( values -- values' )
(flatten-values) flatten ;
: flatten-value ( values -- values )
[ unboxed-allocation ] [ 1array ] bi or ;
: prepare-slot-access ( #call -- tuple-values outputs slot-values )
[ in-d>> first flatten-value ]
[ in-d>> flatten-values ]
[ out-d>> flatten-values ]
[
out-d>> first slot-accesses get at
[ slot#>> ] [ value>> ] bi allocation nth flatten-value
[ slot#>> ] [ value>> ] bi allocation nth
1array flatten-values
] tri ;
: slot-access-shuffle ( tuple-values outputs slot-values -- #shuffle )
@ -73,7 +72,8 @@ M: #call unbox-tuples*
} case ;
M: #declare unbox-tuples*
[ unzip [ flatten-values ] dip zip ] change-declaration ;
#! We don't look at declarations after propagation anyway.
f >>declaration ;
M: #copy unbox-tuples*
[ flatten-values ] change-in-d
@ -96,9 +96,9 @@ M: #terminate unbox-tuples*
[ flatten-values ] change-in-d ;
M: #phi unbox-tuples*
[ flip [ flatten-values ] map flip ] change-phi-in-d
[ flip [ flatten-values ] map flip ] change-phi-in-r
[ flatten-values ] change-out-d
[ flip [ flatten-values ] map pad-with-bottom flip ] change-phi-in-d
[ flip [ flatten-values ] map pad-with-bottom flip ] change-phi-in-r
[ flatten-values ] change-out-d
[ flatten-values ] change-out-r ;
M: #recursive unbox-tuples*

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@ -9,21 +9,30 @@ IN: stack-checker.branches
: balanced? ( pairs -- ? )
[ second ] filter [ first2 length - ] map all-equal? ;
: unify-inputs ( max-d-in d-in meta-d -- new-meta-d )
dup [ [ - f <repetition> ] dip append ] [ 3drop f ] if ;
SYMBOL: +bottom+
: pad-with-f ( seq -- newseq )
dup [ length ] map supremum '[ , f pad-left ] map ;
: unify-inputs ( max-d-in d-in meta-d -- new-meta-d )
dup [ [ - +bottom+ <repetition> ] dip append ] [ 3drop f ] if ;
: pad-with-bottom ( seq -- newseq )
dup empty? [
dup [ length ] map supremum
'[ , +bottom+ pad-left ] map
] unless ;
: phi-inputs ( max-d-in pairs -- newseq )
dup empty? [ nip ] [
swap '[ , _ first2 unify-inputs ] map
pad-with-f
pad-with-bottom
flip
] if ;
: remove-bottom ( seq -- seq' )
+bottom+ swap remove ;
: unify-values ( values -- phi-out )
sift dup empty? [ drop <value> ] [
remove-bottom
dup empty? [ drop <value> ] [
[ known ] map dup all-eq?
[ first make-known ] [ drop <value> ] if
] if ;