factor/core/sequences/sequences.factor

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Factor

! Copyright (C) 2005, 2011 Slava Pestov, Daniel Ehrenberg.
! See http://factorcode.org/license.txt for BSD license.
USING: accessors kernel kernel.private slots.private math
math.private math.order ;
IN: sequences
MIXIN: sequence
GENERIC: length ( seq -- n ) flushable
GENERIC: set-length ( n seq -- )
GENERIC: nth ( n seq -- elt ) flushable
GENERIC: set-nth ( elt n seq -- )
GENERIC: new-sequence ( len seq -- newseq ) flushable
GENERIC: new-resizable ( len seq -- newseq ) flushable
GENERIC: like ( seq exemplar -- newseq ) flushable
GENERIC: clone-like ( seq exemplar -- newseq ) flushable
: new-like ( len exemplar quot -- seq )
over [ [ new-sequence ] dip call ] dip like ; inline
M: sequence like drop ; inline
GENERIC: lengthen ( n seq -- )
GENERIC: shorten ( n seq -- )
M: sequence lengthen 2dup length > [ set-length ] [ 2drop ] if ; inline
M: sequence shorten 2dup length < [ set-length ] [ 2drop ] if ; inline
: empty? ( seq -- ? ) length 0 = ; inline
: if-empty ( ..a seq quot1: ( ..a -- ..b ) quot2: ( ..a seq -- ..b ) -- ..b )
[ dup empty? ] [ [ drop ] prepose ] [ ] tri* if ; inline
: when-empty ( seq quot -- ) [ ] if-empty ; inline
: unless-empty ( seq quot -- ) [ ] swap if-empty ; inline
: delete-all ( seq -- ) 0 swap set-length ;
: first ( seq -- first ) 0 swap nth ; inline
: second ( seq -- second ) 1 swap nth ; inline
: third ( seq -- third ) 2 swap nth ; inline
: fourth ( seq -- fourth ) 3 swap nth ; inline
: set-first ( first seq -- ) 0 swap set-nth ; inline
: set-second ( second seq -- ) 1 swap set-nth ; inline
: set-third ( third seq -- ) 2 swap set-nth ; inline
: set-fourth ( fourth seq -- ) 3 swap set-nth ; inline
: push ( elt seq -- ) [ length ] [ set-nth ] bi ;
: bounds-check? ( n seq -- ? )
dupd length < [ 0 >= ] [ drop f ] if ; inline
ERROR: bounds-error index seq ;
: bounds-check ( n seq -- n seq )
2dup bounds-check? [ bounds-error ] unless ; inline
MIXIN: immutable-sequence
ERROR: immutable seq ;
M: immutable-sequence set-nth immutable ;
INSTANCE: immutable-sequence sequence
<PRIVATE
: array-nth ( n array -- elt )
swap 2 fixnum+fast slot ; inline
: set-array-nth ( elt n array -- )
swap 2 fixnum+fast set-slot ; inline
: dispatch ( n array -- ) array-nth call ;
GENERIC: resize ( n seq -- newseq ) flushable
! Unsafe sequence protocol for inner loops
GENERIC: nth-unsafe ( n seq -- elt ) flushable
GENERIC: set-nth-unsafe ( elt n seq -- )
M: sequence nth bounds-check nth-unsafe ; inline
M: sequence set-nth bounds-check set-nth-unsafe ; inline
M: sequence nth-unsafe nth ; inline
M: sequence set-nth-unsafe set-nth ; inline
: change-nth-unsafe ( i seq quot -- )
[ [ nth-unsafe ] dip call ] 3keep drop set-nth-unsafe ; inline
PRIVATE>
! The f object supports the sequence protocol trivially
M: f length drop 0 ; inline
M: f nth-unsafe nip ; inline
M: f like drop [ f ] when-empty ; inline
INSTANCE: f immutable-sequence
! Integer sequences
TUPLE: iota { n integer read-only } ;
: iota ( n -- iota ) \ iota boa ; inline
M: iota length n>> ; inline
M: iota nth-unsafe drop ; inline
INSTANCE: iota immutable-sequence
<PRIVATE
: first-unsafe ( seq -- first )
0 swap nth-unsafe ; inline
: first2-unsafe ( seq -- first second )
[ first-unsafe ] [ 1 swap nth-unsafe ] bi ; inline
: first3-unsafe ( seq -- first second third )
[ first2-unsafe ] [ 2 swap nth-unsafe ] bi ; inline
: first4-unsafe ( seq -- first second third fourth )
[ first3-unsafe ] [ 3 swap nth-unsafe ] bi ; inline
: exchange-unsafe ( m n seq -- )
[ [ nth-unsafe ] curry bi@ ]
[ [ set-nth-unsafe ] curry bi@ ] 3bi ; inline
: (head) ( seq n -- from to seq ) [ 0 ] 2dip swap ; inline
: (tail) ( seq n -- from to seq ) swap [ length ] keep ; inline
: from-end ( seq n -- seq n' ) [ dup length ] dip - ; inline
: (1sequence) ( obj seq -- seq )
[ 0 swap set-nth-unsafe ] keep ; inline
: (2sequence) ( obj1 obj2 seq -- seq )
[ 1 swap set-nth-unsafe ] keep
(1sequence) ; inline
: (3sequence) ( obj1 obj2 obj3 seq -- seq )
[ 2 swap set-nth-unsafe ] keep
(2sequence) ; inline
: (4sequence) ( obj1 obj2 obj3 obj4 seq -- seq )
[ 3 swap set-nth-unsafe ] keep
(3sequence) ; inline
PRIVATE>
: 1sequence ( obj exemplar -- seq )
1 swap [ (1sequence) ] new-like ; inline
: 2sequence ( obj1 obj2 exemplar -- seq )
2 swap [ (2sequence) ] new-like ; inline
: 3sequence ( obj1 obj2 obj3 exemplar -- seq )
3 swap [ (3sequence) ] new-like ; inline
: 4sequence ( obj1 obj2 obj3 obj4 exemplar -- seq )
4 swap [ (4sequence) ] new-like ; inline
: first2 ( seq -- first second )
1 swap bounds-check nip first2-unsafe ; inline
: first3 ( seq -- first second third )
2 swap bounds-check nip first3-unsafe ; inline
: first4 ( seq -- first second third fourth )
3 swap bounds-check nip first4-unsafe ; inline
: ?nth ( n seq -- elt/f )
2dup bounds-check? [ nth-unsafe ] [ 2drop f ] if ; inline
: ?first ( seq -- elt/f ) 0 swap ?nth ; inline
: ?second ( seq -- elt/f ) 1 swap ?nth ; inline
: ?last ( seq -- elt/f ) [ length 1 - ] [ ?nth ] bi ; inline
MIXIN: virtual-sequence
GENERIC: virtual-exemplar ( seq -- seq' )
GENERIC: virtual@ ( n seq -- n' seq' )
M: virtual-sequence nth virtual@ nth ; inline
M: virtual-sequence set-nth virtual@ set-nth ; inline
M: virtual-sequence nth-unsafe virtual@ nth-unsafe ; inline
M: virtual-sequence set-nth-unsafe virtual@ set-nth-unsafe ; inline
M: virtual-sequence like virtual-exemplar like ; inline
M: virtual-sequence new-sequence virtual-exemplar new-sequence ; inline
INSTANCE: virtual-sequence sequence
! A reversal of an underlying sequence.
TUPLE: reversed { seq read-only } ;
C: <reversed> reversed
M: reversed virtual-exemplar seq>> ; inline
M: reversed virtual@ seq>> [ length swap - 1 - ] keep ; inline
M: reversed length seq>> length ; inline
INSTANCE: reversed virtual-sequence
! A slice of another sequence.
TUPLE: slice
{ from read-only }
{ to read-only }
{ seq read-only } ;
: collapse-slice ( m n slice -- m' n' seq )
[ from>> ] [ seq>> ] bi [ [ + ] curry bi@ ] dip ; inline
TUPLE: slice-error from to seq reason ;
: slice-error ( from to seq ? string -- from to seq )
[ \ slice-error boa throw ] curry when ; inline
: check-slice ( from to seq -- from to seq )
3dup
[ 2drop 0 < "start < 0" slice-error ]
[ [ drop ] 2dip length > "end > sequence" slice-error ]
[ drop > "start > end" slice-error ]
3tri ; inline
: <slice> ( from to seq -- slice )
check-slice
dup slice? [ collapse-slice ] when
slice boa ; inline
M: slice virtual-exemplar seq>> ; inline
M: slice virtual@ [ from>> + ] [ seq>> ] bi ; inline
M: slice length [ to>> ] [ from>> ] bi - ; inline
: short ( seq n -- seq n' ) over length min ; inline
: head-slice ( seq n -- slice ) (head) <slice> ; inline
: tail-slice ( seq n -- slice ) (tail) <slice> ; inline
: rest-slice ( seq -- slice ) 1 tail-slice ; inline
: head-slice* ( seq n -- slice ) from-end head-slice ; inline
: tail-slice* ( seq n -- slice ) from-end tail-slice ; inline
: but-last-slice ( seq -- slice ) 1 head-slice* ; inline
INSTANCE: slice virtual-sequence
! One element repeated many times
TUPLE: repetition { len read-only } { elt read-only } ;
C: <repetition> repetition
M: repetition length len>> ; inline
M: repetition nth-unsafe nip elt>> ; inline
INSTANCE: repetition immutable-sequence
<PRIVATE
ERROR: integer-length-expected obj ;
: check-length ( n -- n )
dup integer? [ integer-length-expected ] unless ; inline
TUPLE: copy-state
{ src-i read-only }
{ src read-only }
{ dst-i read-only }
{ dst read-only } ;
C: <copy> copy-state
: ((copy)) ( n copy -- )
[ [ src-i>> + ] [ src>> ] bi nth-unsafe ]
[ [ dst-i>> + ] [ dst>> ] bi set-nth-unsafe ] 2bi ; inline
: (copy) ( n copy -- dst )
over 0 <= [ nip dst>> ] [ [ 1 - ] dip [ ((copy)) ] [ (copy) ] 2bi ] if ;
inline recursive
: subseq>copy ( from to seq -- n copy )
[ over - check-length swap ] dip
3dup nip new-sequence 0 swap <copy> ; inline
: check-copy ( src n dst -- src n dst )
3dup over 0 < [ bounds-error ] when
[ swap length + ] dip lengthen ; inline
PRIVATE>
: subseq ( from to seq -- subseq )
[ check-slice subseq>copy (copy) ] keep like ;
: head ( seq n -- headseq ) (head) subseq ;
: tail ( seq n -- tailseq ) (tail) subseq ;
: rest ( seq -- tailseq ) 1 tail ;
: head* ( seq n -- headseq ) from-end head ;
: tail* ( seq n -- tailseq ) from-end tail ;
: but-last ( seq -- headseq ) 1 head* ;
: copy ( src i dst -- )
#! The check-length call forces partial dispatch
[ [ length check-length 0 ] keep ] 2dip
check-copy <copy> (copy) drop ; inline
M: sequence clone-like
[ dup length ] dip new-sequence [ 0 swap copy ] keep ; inline
M: immutable-sequence clone-like like ; inline
: push-all ( src dest -- ) [ length ] [ copy ] bi ;
<PRIVATE
: (append) ( seq1 seq2 accum -- accum )
[ [ over length ] dip copy ]
[ 0 swap copy ]
[ ] tri ; inline
PRIVATE>
: append-as ( seq1 seq2 exemplar -- newseq )
[ over length over length + ] dip
[ (append) ] new-like ; inline
: 3append-as ( seq1 seq2 seq3 exemplar -- newseq )
[ 3dup [ length ] tri@ + + ] dip [
[ [ 2over [ length ] bi@ + ] dip copy ]
[ (append) ] bi
] new-like ; inline
: append ( seq1 seq2 -- newseq ) over append-as ;
: prepend ( seq1 seq2 -- newseq ) swap append ; inline
: 3append ( seq1 seq2 seq3 -- newseq ) pick 3append-as ;
: surround ( seq1 seq2 seq3 -- newseq ) swapd 3append ; inline
: glue ( seq1 seq2 seq3 -- newseq ) swap 3append ; inline
: change-nth ( ..a i seq quot: ( ..a elt -- ..b newelt ) -- ..b )
[ [ nth ] dip call ] 3keep drop set-nth ; inline
: min-length ( seq1 seq2 -- n ) [ length ] bi@ min ; inline
: max-length ( seq1 seq2 -- n ) [ length ] bi@ max ; inline
<PRIVATE
: ((each)) ( seq -- n quot )
[ length ] keep [ nth-unsafe ] curry ; inline
: (each) ( seq quot -- n quot' )
[ ((each)) ] dip compose ; inline
: (each-index) ( seq quot -- n quot' )
[ ((each)) [ keep ] curry ] dip compose ; inline
: (collect) ( quot into -- quot' )
[ [ keep ] dip set-nth-unsafe ] 2curry ; inline
: collect ( n quot into -- )
(collect) each-integer ; inline
: map-into ( seq quot into -- )
[ (each) ] dip collect ; inline
: 2nth-unsafe ( n seq1 seq2 -- elt1 elt2 )
[ nth-unsafe ] bi-curry@ bi ; inline
: (2each) ( seq1 seq2 quot -- n quot' )
[
[ min-length ] 2keep
[ 2nth-unsafe ] 2curry
] dip compose ; inline
: 3nth-unsafe ( n seq1 seq2 seq3 -- elt1 elt2 elt3 )
[ nth-unsafe ] tri-curry@ tri ; inline
: (3each) ( seq1 seq2 seq3 quot -- n quot' )
[
[ [ length ] tri@ min min ]
[ [ 3nth-unsafe ] 3curry ] 3bi
] dip compose ; inline
: finish-find ( i seq -- i elt )
over [ dupd nth-unsafe ] [ drop f ] if ; inline
: (find) ( seq quot quot' -- i elt )
pick [ [ (each) ] dip call ] dip finish-find ; inline
: (find-from) ( n seq quot quot' -- i elt )
[ 2dup bounds-check? ] 2dip
[ (find) ] 2curry
[ 2drop f f ]
if ; inline
: (find-index) ( seq quot quot' -- i elt )
pick [ [ (each-index) ] dip call ] dip finish-find ; inline
: (accumulate) ( seq identity quot -- identity seq quot )
[ swap ] dip [ curry keep ] curry ; inline
PRIVATE>
: each ( ... seq quot: ( ... x -- ... ) -- ... )
(each) each-integer ; inline
: reduce ( ... seq identity quot: ( ... prev elt -- ... next ) -- ... result )
swapd each ; inline
: map-integers ( ... len quot: ( ... i -- ... elt ) exemplar -- ... newseq )
[ over ] dip [ [ collect ] keep ] new-like ; inline
: map-as ( ... seq quot: ( ... elt -- ... newelt ) exemplar -- ... newseq )
[ (each) ] dip map-integers ; inline
: map ( ... seq quot: ( ... elt -- ... newelt ) -- ... newseq )
over map-as ; inline
: replicate-as ( ... len quot: ( ... -- ... newelt ) exemplar -- ... newseq )
[ [ drop ] prepose ] dip map-integers ; inline
: replicate ( ... len quot: ( ... -- ... newelt ) -- ... newseq )
{ } replicate-as ; inline
: map! ( ... seq quot: ( ... elt -- ... newelt ) -- ... seq )
over [ map-into ] keep ; inline
: accumulate-as ( ... seq identity quot: ( ... prev elt -- ... next ) exemplar -- ... final newseq )
[ (accumulate) ] dip map-as ; inline
: accumulate ( ... seq identity quot: ( ... prev elt -- ... next ) -- ... final newseq )
pick accumulate-as ; inline
: accumulate! ( ... seq identity quot: ( ... prev elt -- ... next ) -- ... final seq )
(accumulate) map! ; inline
: 2each ( ... seq1 seq2 quot: ( ... elt1 elt2 -- ... ) -- ... )
(2each) each-integer ; inline
: 2reduce ( ... seq1 seq2 identity quot: ( ... prev elt1 elt2 -- ... next ) -- ... result )
[ -rot ] dip 2each ; inline
: 2map-as ( ... seq1 seq2 quot: ( ... elt1 elt2 -- ... newelt ) exemplar -- ... newseq )
[ (2each) ] dip map-integers ; inline
: 2map ( ... seq1 seq2 quot: ( ... elt1 elt2 -- ... newelt ) -- ... newseq )
pick 2map-as ; inline
: 2all? ( ... seq1 seq2 quot: ( ... elt1 elt2 -- ... ? ) -- ... ? )
(2each) all-integers? ; inline
: 3each ( ... seq1 seq2 seq3 quot: ( ... elt1 elt2 elt3 -- ... ) -- ... )
(3each) each-integer ; inline
: 3map-as ( ... seq1 seq2 seq3 quot: ( ... elt1 elt2 elt3 -- ... newelt ) exemplar -- ... newseq )
[ (3each) ] dip map-integers ; inline
: 3map ( ... seq1 seq2 seq3 quot: ( ... elt1 elt2 elt3 -- ... newelt ) -- ... newseq )
[ pick ] dip swap 3map-as ; inline
: find-from ( ... n seq quot: ( ... elt -- ... ? ) -- ... i elt )
[ (find-integer) ] (find-from) ; inline
: find ( ... seq quot: ( ... elt -- ... ? ) -- ... i elt )
[ find-integer ] (find) ; inline
: find-last-from ( ... n seq quot: ( ... elt -- ... ? ) -- ... i elt )
[ nip find-last-integer ] (find-from) ; inline
: find-last ( ... seq quot: ( ... elt -- ... ? ) -- ... i elt )
[ [ 1 - ] dip find-last-integer ] (find) ; inline
: find-index ( ... seq quot: ( ... elt i -- ... ? ) -- ... i elt )
[ find-integer ] (find-index) ; inline
: all? ( ... seq quot: ( ... elt -- ... ? ) -- ... ? )
(each) all-integers? ; inline
: push-if ( ..a elt quot: ( ..a elt -- ..b ? ) accum -- ..b )
[ keep ] dip rot [ push ] [ 2drop ] if ; inline
: selector-for ( quot exemplar -- selector accum )
[ length ] keep new-resizable [ [ push-if ] 2curry ] keep ; inline
: selector ( quot -- selector accum )
V{ } selector-for ; inline
: filter-as ( ... seq quot: ( ... elt -- ... ? ) exemplar -- ... subseq )
dup [ selector-for [ each ] dip ] curry dip like ; inline
: filter ( ... seq quot: ( ... elt -- ... ? ) -- ... subseq )
over filter-as ; inline
: push-either ( ..a elt quot: ( ..a elt -- ..b ? ) accum1 accum2 -- ..b )
[ keep swap ] 2dip ? push ; inline
: 2selector ( quot -- selector accum1 accum2 )
V{ } clone V{ } clone [ [ push-either ] 3curry ] 2keep ; inline
: partition ( ... seq quot: ( ... elt -- ... ? ) -- ... trueseq falseseq )
over [ 2selector [ each ] 2dip ] dip [ like ] curry bi@ ; inline
: collector-for ( quot exemplar -- quot' vec )
[ length ] keep new-resizable [ [ push ] curry compose ] keep ; inline
: collector ( quot -- quot' vec )
V{ } collector-for ; inline
: produce-as ( ..a pred: ( ..a -- ..b ? ) quot: ( ..b -- ..a obj ) exemplar -- ..b seq )
dup [ collector-for [ while ] dip ] curry dip like ; inline
: produce ( ..a pred: ( ..a -- ..b ? ) quot: ( ..b -- ..a obj ) -- ..b seq )
{ } produce-as ; inline
: follow ( ... obj quot: ( ... prev -- ... result/f ) -- ... seq )
[ dup ] swap [ keep ] curry produce nip ; inline
: each-index ( ... seq quot: ( ... elt index -- ... ) -- ... )
(each-index) each-integer ; inline
: interleave ( ... seq between quot: ( ... elt -- ... ) -- ... )
pick empty? [ 3drop ] [
[ [ drop first-unsafe ] dip call ]
[ [ rest-slice ] 2dip [ bi* ] 2curry each ]
3bi
] if ; inline
: map-index ( ... seq quot: ( ... elt index -- ... newelt ) -- ... newseq )
[ dup length iota ] dip 2map ; inline
: reduce-index ( ... seq identity quot: ( ... prev elt index -- ... next ) -- ... result )
swapd each-index ; inline
: index ( obj seq -- n )
[ = ] with find drop ;
: index-from ( obj i seq -- n )
rot [ = ] curry find-from drop ;
: last-index ( obj seq -- n )
[ = ] with find-last drop ;
: last-index-from ( obj i seq -- n )
rot [ = ] curry find-last-from drop ;
<PRIVATE
: (indices) ( elt i obj accum -- )
[ swap [ = ] dip ] dip [ push ] 2curry when ; inline
PRIVATE>
: indices ( obj seq -- indices )
swap V{ } clone
[ [ (indices) ] 2curry each-index ] keep ;
: nths ( indices seq -- seq' )
[ [ nth ] curry ] keep map-as ;
: any? ( ... seq quot: ( ... elt -- ... ? ) -- ... ? )
find drop >boolean ; inline
: member? ( elt seq -- ? )
[ = ] with any? ;
: member-eq? ( elt seq -- ? )
[ eq? ] with any? ;
: remove ( elt seq -- newseq )
[ = not ] with filter ;
: remove-eq ( elt seq -- newseq )
[ eq? not ] with filter ;
: sift ( seq -- newseq )
[ ] filter ;
: harvest ( seq -- newseq )
[ empty? not ] filter ;
: mismatch ( seq1 seq2 -- i )
[ min-length ] 2keep
[ 2nth-unsafe = not ] 2curry
find-integer ; inline
M: sequence <=>
[ mismatch ] 2keep pick
[ 2nth-unsafe <=> ] [ [ length ] compare nip ] if ;
: sequence= ( seq1 seq2 -- ? )
2dup [ length ] bi@ =
[ mismatch not ] [ 2drop f ] if ; inline
ERROR: assert-sequence got expected ;
: assert-sequence= ( a b -- )
2dup sequence= [ 2drop ] [ assert-sequence ] if ;
<PRIVATE
: sequence-hashcode-step ( oldhash newpart -- newhash )
>fixnum swap [
[ -2 fixnum-shift-fast ] [ 5 fixnum-shift-fast ] bi
fixnum+fast fixnum+fast
] keep fixnum-bitxor ; inline
PRIVATE>
: sequence-hashcode ( n seq -- x )
[ 0 ] 2dip [ hashcode* sequence-hashcode-step ] with each ; inline
M: reversed equal? over reversed? [ sequence= ] [ 2drop f ] if ;
M: slice equal? over slice? [ sequence= ] [ 2drop f ] if ;
: move ( to from seq -- )
2over =
[ 3drop ] [ [ nth swap ] [ set-nth ] bi ] if ; inline
<PRIVATE
: (filter!) ( ... quot: ( ... elt -- ... ? ) store scan seq -- ... )
2dup length < [
[ move ] 3keep
[ nth-unsafe pick call [ 1 + ] when ] 2keep
[ 1 + ] dip
(filter!)
] [ nip set-length drop ] if ; inline recursive
PRIVATE>
: filter! ( ... seq quot: ( ... elt -- ... ? ) -- ... seq )
swap [ [ 0 0 ] dip (filter!) ] keep ; inline
: remove! ( elt seq -- seq )
[ = not ] with filter! ;
: remove-eq! ( elt seq -- seq )
[ eq? not ] with filter! ;
: prefix ( seq elt -- newseq )
over [ over length 1 + ] dip [
[ 0 swap set-nth-unsafe ] keep
[ 1 swap copy ] keep
] new-like ;
: suffix ( seq elt -- newseq )
over [ over length 1 + ] dip [
[ [ over length ] dip set-nth-unsafe ] keep
[ 0 swap copy ] keep
] new-like ;
: suffix! ( seq elt -- seq ) over push ; inline
: append! ( seq1 seq2 -- seq1 ) over push-all ; inline
: last ( seq -- elt ) [ length 1 - ] [ nth ] bi ;
: set-last ( elt seq -- ) [ length 1 - ] keep set-nth ;
: pop* ( seq -- ) [ length 1 - ] [ shorten ] bi ;
<PRIVATE
: move-backward ( shift from to seq -- )
2over = [
2drop 2drop
] [
[ [ 2over + pick ] dip move [ 1 + ] dip ] keep
move-backward
] if ;
: move-forward ( shift from to seq -- )
2over = [
2drop 2drop
] [
[ [ pick [ dup dup ] dip + swap ] dip move 1 - ] keep
move-forward
] if ;
: (open-slice) ( shift from to seq ? -- )
[
[ [ 1 - ] bi@ ] dip move-forward
] [
[ over - ] 2dip move-backward
] if ;
: open-slice ( shift from seq -- )
pick 0 = [
3drop
] [
pick over length + over
[ pick 0 > [ [ length ] keep ] dip (open-slice) ] 2dip
set-length
] if ;
PRIVATE>
: delete-slice ( from to seq -- )
check-slice [ over [ - ] dip ] dip open-slice ;
: remove-nth! ( n seq -- seq )
[ [ dup 1 + ] dip delete-slice ] keep ;
: snip ( from to seq -- head tail )
[ swap head ] [ swap tail ] bi-curry bi* ; inline
: snip-slice ( from to seq -- head tail )
[ swap head-slice ] [ swap tail-slice ] bi-curry bi* ; inline
: replace-slice ( new from to seq -- seq' )
snip-slice surround ;
: remove-nth ( n seq -- seq' )
[ [ { } ] dip dup 1 + ] dip replace-slice ;
: pop ( seq -- elt )
[ length 1 - ] [ [ nth ] [ shorten ] 2bi ] bi ;
: exchange ( m n seq -- )
[ nip bounds-check 2drop ]
[ bounds-check 3drop ]
[ exchange-unsafe ]
3tri ;
: reverse! ( seq -- seq )
[
[ length 2/ iota ] [ length ] [ ] tri
[ [ over - 1 - ] dip exchange-unsafe ] 2curry each
] keep ;
: reverse ( seq -- newseq )
[
dup [ length ] keep new-sequence
[ 0 swap copy ] keep reverse!
] keep like ;
: sum-lengths ( seq -- n )
0 [ length + ] reduce ;
: concat-as ( seq exemplar -- newseq )
swap [ { } ] [
[ sum-lengths over new-resizable ] keep
[ append! ] each
] if-empty swap like ;
: concat ( seq -- newseq )
[ { } ] [ dup first concat-as ] if-empty ;
<PRIVATE
: joined-length ( seq glue -- n )
[ [ sum-lengths ] [ length 1 [-] ] bi ] dip length * + ;
PRIVATE>
: join ( seq glue -- newseq )
dup empty? [ concat-as ] [
[
2dup joined-length over new-resizable [
[ [ push-all ] 2curry ] [ [ nip push-all ] 2curry ] 2bi
interleave
] keep
] keep like
] if ;
: padding ( ... seq n elt quot: ( ... seq1 seq2 -- ... newseq ) -- ... newseq )
[
[ over length [-] dup 0 = [ drop ] ] dip
[ <repetition> ] curry
] dip compose if ; inline
: pad-head ( seq n elt -- padded )
[ swap dup append-as ] padding ;
: pad-tail ( seq n elt -- padded )
[ append ] padding ;
: shorter? ( seq1 seq2 -- ? ) [ length ] bi@ < ;
: head? ( seq begin -- ? )
2dup shorter? [
2drop f
] [
[ nip ] [ length head-slice ] 2bi sequence=
] if ;
: tail? ( seq end -- ? )
2dup shorter? [
2drop f
] [
[ nip ] [ length tail-slice* ] 2bi sequence=
] if ;
: cut-slice ( seq n -- before-slice after-slice )
[ head-slice ] [ tail-slice ] 2bi ;
: insert-nth ( elt n seq -- seq' )
swap cut-slice [ swap suffix ] dip append ;
: midpoint@ ( seq -- n ) length 2/ ; inline
: halves ( seq -- first-slice second-slice )
dup midpoint@ cut-slice ;
: binary-reduce ( ... seq start quot: ( ... elt1 elt2 -- ... newelt ) -- ... value )
#! We can't use case here since combinators depends on
#! sequences
pick length dup 0 3 between? [
>fixnum {
[ drop nip ]
[ 2drop first ]
[ [ drop first2 ] dip call ]
[ [ drop first3 ] dip bi@ ]
} dispatch
] [
drop
[ halves ] 2dip
[ [ binary-reduce ] 2curry bi@ ] keep
call
] if ; inline recursive
: cut ( seq n -- before after )
[ head ] [ tail ] 2bi ;
: cut* ( seq n -- before after )
[ head* ] [ tail* ] 2bi ;
<PRIVATE
: (start) ( subseq seq n -- subseq seq ? )
pick length iota [
[ 3dup ] dip [ + swap nth-unsafe ] keep rot nth-unsafe =
] all? nip ; inline
: prepare-2map-reduce ( seq1 seq2 map-quot -- initial length seq1 seq2 )
[ drop min-length dup 1 < [ "Empty sequence" throw ] when 1 - ]
[ drop [ [ 1 + ] 2dip 2nth-unsafe ] 2curry ]
[ [ [ first-unsafe ] bi@ ] dip call ]
3tri -rot ; inline
PRIVATE>
: start* ( subseq seq n -- i )
pick length pick length swap - 1 + iota
[ (start) ] find-from
swap [ 3drop ] dip ;
: start ( subseq seq -- i ) 0 start* ; inline
: subseq? ( subseq seq -- ? ) start >boolean ;
: drop-prefix ( seq1 seq2 -- slice1 slice2 )
2dup mismatch [ 2dup min-length ] unless*
[ tail-slice ] curry bi@ ;
: unclip ( seq -- rest first )
[ rest ] [ first-unsafe ] bi ;
: unclip-last ( seq -- butlast last )
[ but-last ] [ last ] bi ;
: unclip-slice ( seq -- rest-slice first )
[ rest-slice ] [ first-unsafe ] bi ; inline
: map-reduce ( ..a seq map-quot: ( ..a x -- ..b elt ) reduce-quot: ( ..b prev elt -- ..a next ) -- ..a result )
[ [ unclip-slice ] dip [ call ] keep ] dip
compose reduce ; inline
: 2map-reduce ( ..a seq1 seq2 map-quot: ( ..a elt1 elt2 -- ..b intermediate ) reduce-quot: ( ..b prev intermediate -- ..a next ) -- ..a result )
[ [ prepare-2map-reduce ] keep ] dip
compose compose each-integer ; inline
<PRIVATE
: (map-find) ( seq quot find-quot -- result elt )
[ [ f ] 2dip [ [ nip ] dip call dup ] curry ] dip call
[ [ drop f ] unless ] dip ; inline
PRIVATE>
: map-find ( ... seq quot: ( ... elt -- ... result/f ) -- ... result elt )
[ find ] (map-find) ; inline
: map-find-last ( ... seq quot: ( ... elt -- ... result/f ) -- ... result elt )
[ find-last ] (map-find) ; inline
: unclip-last-slice ( seq -- butlast-slice last )
[ but-last-slice ] [ last ] bi ; inline
<PRIVATE
: (trim-head) ( seq quot -- seq n )
over [ [ not ] compose find drop ] dip
[ length or ] keep swap ; inline
: (trim-tail) ( seq quot -- seq n )
over [ [ not ] compose find-last drop ?1+ ] dip
swap ; inline
PRIVATE>
: trim-head-slice ( ... seq quot: ( ... elt -- ... ? ) -- ... slice )
(trim-head) tail-slice ; inline
: trim-head ( ... seq quot: ( ... elt -- ... ? ) -- ... newseq )
(trim-head) tail ; inline
: trim-tail-slice ( ... seq quot: ( ... elt -- ... ? ) -- ... slice )
(trim-tail) head-slice ; inline
: trim-tail ( ... seq quot: ( ... elt -- ... ? ) -- ... newseq )
(trim-tail) head ; inline
: trim-slice ( ... seq quot: ( ... elt -- ... ? ) -- ... slice )
[ trim-head-slice ] [ trim-tail-slice ] bi ; inline
: trim ( ... seq quot: ( ... elt -- ... ? ) -- ... newseq )
[ trim-slice ] [ drop ] 2bi like ; inline
GENERIC: sum ( seq -- n )
M: object sum 0 [ + ] binary-reduce ; inline
: product ( seq -- n ) 1 [ * ] binary-reduce ;
: infimum ( seq -- n ) [ ] [ min ] map-reduce ;
: supremum ( seq -- n ) [ ] [ max ] map-reduce ;
: map-sum ( ... seq quot: ( ... elt -- ... n ) -- ... n )
[ 0 ] 2dip [ dip + ] curry [ swap ] prepose each ; inline
: count ( ... seq quot: ( ... elt -- ... ? ) -- ... n ) [ 1 0 ? ] compose map-sum ; inline
: cartesian-each ( ... seq1 seq2 quot: ( ... elt1 elt2 -- ... ) -- ... )
[ with each ] 2curry each ; inline
: cartesian-map ( ... seq1 seq2 quot: ( ... elt1 elt2 -- ... newelt ) -- ... newseq )
[ with map ] 2curry map ; inline
: cartesian-product ( seq1 seq2 -- newseq )
[ { } 2sequence ] cartesian-map ;
! We hand-optimize flip to such a degree because type hints
! cannot express that an array is an array of arrays yet, and
! this word happens to be performance-critical since the compiler
! itself uses it. Optimizing it like this reduced compile time.
<PRIVATE
: generic-flip ( matrix -- newmatrix )
[ dup first length [ length min ] reduce iota ] keep
[ [ nth-unsafe ] with { } map-as ] curry { } map-as ; inline
USE: arrays
: array-length ( array -- len )
{ array } declare length>> ; inline
: array-flip ( matrix -- newmatrix )
{ array } declare
[ dup first array-length [ array-length min ] reduce iota ] keep
[ [ { array } declare array-nth ] with { } map-as ] curry { } map-as ;
PRIVATE>
: flip ( matrix -- newmatrix )
dup empty? [
dup array? [
dup [ array? ] all?
[ array-flip ] [ generic-flip ] if
] [ generic-flip ] if
] unless ;