! :folding=indent:collapseFolds=1:

! $Id$
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! Copyright (C) 2003, 2004 Slava Pestov.
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IN: lists
USE: kernel
USE: math
USE: vectors

: 2list ( a b -- [ a b ] )
    unit cons ;

: 3list ( a b c -- [ a b c ] )
    2list cons ;

: append ( [ list1 ] [ list2 ] -- [ list1 list2 ] )
    over [ >r uncons r> append cons ] [ nip ] ifte ;

: some? ( list pred -- ? )
    #! Apply predicate to each element ,return remainder of list
    #! from first occurrence where it is true, or return f.
    over [
        dup >r over >r >r car r> call [
            r> r> drop
        ] [
            r> cdr r> some?
        ] ifte
    ] [
        2drop f
    ] ifte ; inline

: contains? ( element list -- ? )
    #! Test if a list contains an element.
    [ over = ] some? >boolean nip ;

: nth ( n list -- list[n] )
    #! nth element of a proper list.
    #! Supplying n <= 0 pushes the first element of the list.
    #! Supplying an argument beyond the end of the list raises
    #! an error.
    swap [ cdr ] times car ;

: last* ( list -- last )
    #! Last cons of a list.
    dup cdr cons? [ cdr last* ] when ;

: last ( list -- last )
    #! Last element of a list.
    last* car ;

: tail ( list -- tail )
    #! Return the cdr of the last cons cell, or f.
    dup [ last* cdr ] when ;

: list? ( list -- ? )
    #! Proper list test. A proper list is either f, or a cons
    #! cell whose cdr is a proper list.
    dup cons? [ tail ] when not ;

: partition-add ( obj ? ret1 ret2 -- ret1 ret2 )
    rot [ swapd cons ] [ >r cons r> ] ifte ;

: partition-step ( ref list combinator -- ref cdr combinator car ? )
    pick pick car pick call >r >r unswons r> swap r> ; inline

: (partition) ( ref list combinator ret1 ret2 -- ret1 ret2 )
    >r >r  over [
        partition-step  r> r> partition-add  (partition)
    ] [
        3drop  r> r>
    ] ifte ; inline

: partition ( ref list combinator -- list1 list2 )
    #! The combinator must have stack effect:
    #! ( ref element -- ? )
    [ ] [ ] (partition) ; inline

: sort ( list comparator -- sorted )
    #! To sort in ascending order, comparator must have stack
    #! effect ( x y -- x>y ).
    over [
        ( Partition ) [ >r uncons dupd r> partition ] keep
        ( Recurse ) [ sort swap ] keep sort
        ( Combine ) swapd cons append
    ] [
        drop
    ] ifte ; inline

: num-sort ( list -- sorted )
    #! Sorts the list into ascending numerical order.
    [ > ] sort ;

! Redefined below
DEFER: tree-contains?

: =-or-contains? ( element obj -- ? )
    dup cons? [ tree-contains? ] [ = ] ifte ;

: tree-contains? ( element tree -- ? )
    dup [
        2dup car =-or-contains? [
            nip
        ] [
            cdr dup cons? [
                tree-contains?
            ] [
                ! don't bomb on dotted pairs
                =-or-contains?
            ] ifte
        ] ifte
    ] [
        2drop f
    ] ifte ;

: unique ( elem list -- list )
    #! Prepend an element to a list if it does not occur in the
    #! list.
    2dup contains? [ nip ] [ cons ] ifte ;

: (each) ( list quot -- list quot )
    >r uncons r> tuck 2slip ; inline

: each ( list quot -- )
    #! Push each element of a proper list in turn, and apply a
    #! quotation with effect ( X -- ) to each element.
    over [ (each) each ] [ 2drop ] ifte ; inline

: reverse ( list -- list )
    [ ] swap [ swons ] each ;

: map ( list quot -- list )
    #! Push each element of a proper list in turn, and collect
    #! return values of applying a quotation with effect
    #! ( X -- Y ) to each element into a new list.
    over [ (each) rot >r map r> swons ] [ drop ] ifte ; inline

: subset ( list quot -- list )
    #! Applies a quotation with effect ( X -- ? ) to each
    #! element of a list; all elements for which the quotation
    #! returned a value other than f are collected in a new
    #! list.
    over [
        over car >r (each)
        rot >r subset r> [ r> swons ] [ r> drop ] ifte
    ] [
        drop
    ] ifte ; inline

: remove ( obj list -- list )
    #! Remove all occurrences of the object from the list.
    [ dupd = not ] subset nip ;

: length ( list -- length )
    0 swap [ drop succ ] each ;

: prune ( list -- list )
    #! Remove duplicate elements.
    dup [
        uncons prune 2dup contains? [ nip ] [ cons ] ifte
    ] when ;

: all? ( list pred -- ? )
    #! Push if the predicate returns true for each element of
    #! the list.
    over [
        dup >r swap uncons >r swap call [
            r> r> all?
        ] [
            r> drop r> drop f
        ] ifte
    ] [
        2drop t
    ] ifte ; inline

: all=? ( list -- ? )
    #! Check if all elements of a list are equal.
    dup [ uncons [ over = ] all? nip ] [ drop t ] ifte ;

: maximize ( pred o1 o2 -- o1/o2 )
    #! Return o1 if pred returns true, o2 otherwise.
    [ rot call ] 2keep ? ; inline

: (top) ( list maximizer -- elt )
    #! Return the highest element in the list, where maximizer
    #! has stack effect ( o1 o2 -- max(o1,o2) ).
    >r uncons r> each ; inline

: top ( list pred -- elt )
    #! Return the highest element in the list, where pred is a
    #! partial order with stack effect ( o1 o2 -- ? ).
    swap [ pick >r maximize r> swap ] (top) nip ; inline

: cons= ( obj cons -- ? )
    2dup eq? [
        2drop t
    ] [
        over cons? [
            2dup 2car = >r 2cdr = r> and
        ] [
            2drop f
        ] ifte
    ] ifte ;

: (cons-hashcode) ( cons count -- hash )
    dup 0 = [
        2drop 0
    ] [
        over cons? [
            pred >r uncons r> tuck
            (cons-hashcode) >r
            (cons-hashcode) r>
            bitxor
        ] [
            drop hashcode
        ] ifte
    ] ifte ;

: cons-hashcode ( cons -- hash )
    4 (cons-hashcode) ;

: list>vector ( list -- vector )
    dup length <vector> swap [ over vector-push ] each ;

: stack>list ( vector -- list )
    [ ] swap [ swons ] vector-each ;

: vector>list ( vector -- list )
    stack>list reverse ;

: project ( n quot -- list )
    #! Execute the quotation n times, passing the loop counter
    #! the quotation as it ranges from 0..n-1. Collect results
    #! in a new list.
    [ ] rot [ -rot over >r >r call r> cons r> swap ] times*
    nip reverse ; inline

: count ( n -- [ 0 ... n-1 ] )
    [ ] project ;