add upward/stable/downward slices, monotonic-slice, trends and docs
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! Copyright (C) 2009 Doug Coleman.
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! See http://factorcode.org/license.txt for BSD license.
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USING: help.markup help.syntax kernel quotations classes sequences
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multiline ;
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IN: splitting.monotonic
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HELP: monotonic-slice
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{ $values
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{ "seq" sequence } { "quot" quotation } { "class" class }
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{ "slices" "a sequence of slices" }
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}
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{ $description "Monotonically splits a sequence into slices of the type " { $snippet "class" } "." }
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{ $examples
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{ $example
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"USING: splitting.monotonic math prettyprint ;"
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"{ 1 2 3 2 3 4 } [ < ] upward-slice monotonic-slice ."
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<" {
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T{ upward-slice
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{ from 0 }
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{ to 3 }
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{ seq { 1 2 3 2 3 4 } }
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}
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T{ upward-slice
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{ from 3 }
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{ to 6 }
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{ seq { 1 2 3 2 3 4 } }
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}
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}">
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}
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} ;
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HELP: monotonic-split
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{ $values
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{ "seq" sequence } { "quot" quotation }
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{ "newseq" "a sequence of sequences" }
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}
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{ $description "Compares pairs of elements in a sequence and collects elements into sequences while they satisfy the predicate. Once the predicate fails, a new sequence is started, and all sequences are returned in a single sequence." }
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{ $examples
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{ $example
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"USING: splitting.monotonic math prettyprint ;"
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"{ 1 2 3 2 3 4 } [ < ] monotonic-split ."
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"{ V{ 1 2 3 } V{ 2 3 4 } }"
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}
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} ;
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HELP: downward-slices
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{ $values
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{ "seq" sequence }
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{ "slices" "a sequence of downward-slices" }
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}
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{ $description "Returns an array of monotonically decreasing slices of type " { $link downward-slice } ". Slices of one element are discarded." } ;
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HELP: stable-slices
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{ $values
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{ "seq" sequence }
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{ "slices" "a sequence of stable-slices" }
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}
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{ $description "Returns an array of monotonically decreasing slices of type " { $link downward-slice } ". Slices of one element are discarded." } ;
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HELP: upward-slices
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{ $values
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{ "seq" sequence }
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{ "slices" "a sequence of upward-slices" }
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}
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{ $description "Returns an array of monotonically increasing slices of type " { $link downward-slice } ". Slices of one element are discarded." } ;
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HELP: trends
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{ $values
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{ "seq" sequence }
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{ "slices" "a sequence of downward, stable, and upward slices" }
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}
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{ $description "Returns a sorted sequence of downward, stable, or upward slices. The endpoints of some slices may overlap with each other." }
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{ $examples
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{ $example
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"USING: splitting.monotonic math prettyprint ;"
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"{ 1 2 3 3 2 1 } trends ."
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<" {
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T{ upward-slice
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{ from 0 }
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{ to 3 }
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{ seq { 1 2 3 3 2 1 } }
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}
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T{ stable-slice
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{ from 2 }
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{ to 4 }
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{ seq { 1 2 3 3 2 1 } }
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}
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T{ downward-slice
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{ from 3 }
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{ to 6 }
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{ seq { 1 2 3 3 2 1 } }
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}
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}">
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}
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} ;
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ARTICLE: "splitting.monotonic" "Splitting trending sequences"
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"The " { $vocab-link "splitting.monotonic" } " vocabulary splits sequences that are trending downwards, upwards, or stably." $nl
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"Splitting into sequences:"
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{ $subsection monotonic-split }
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"Splitting into slices:"
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{ $subsection monotonic-slice }
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"Trending:"
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{ $subsection downward-slices }
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{ $subsection stable-slices }
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{ $subsection upward-slices }
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{ $subsection trends } ;
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ABOUT: "splitting.monotonic"
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@ -6,3 +6,48 @@ USING: tools.test math arrays kernel sequences ;
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[ { { 1 1 1 1 } { 2 2 } { 3 } { 4 } { 5 } { 6 6 6 } } ]
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[ { 1 1 1 1 2 2 3 4 5 6 6 6 } [ = ] monotonic-split [ >array ] map ] unit-test
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[ { } ]
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[ { } [ = ] slice monotonic-slice ] unit-test
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[ t ]
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[ { 1 } [ = ] slice monotonic-slice [ slice? ] all? ] unit-test
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[ { { 1 } } ]
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[ { 1 } [ = ] slice monotonic-slice [ >array ] map ] unit-test
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[ t ]
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[ { 1 1 1 2 2 3 3 4 } [ = ] slice monotonic-slice [ slice? ] all? ] unit-test
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[ { { 1 1 1 } { 2 2 } { 3 3 } { 4 } } ]
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[ { 1 1 1 2 2 3 3 4 } [ = ] slice monotonic-slice [ >array ] map ] unit-test
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[ { { 3 3 } } ]
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[ { 3 3 } [ = ] slice monotonic-slice [ >array ] map ] unit-test
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[
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{
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T{ upward-slice { from 0 } { to 3 } { seq { 1 2 3 2 1 } } }
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T{ downward-slice { from 2 } { to 5 } { seq { 1 2 3 2 1 } } }
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}
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]
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[ { 1 2 3 2 1 } trends ] unit-test
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[
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{
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T{ upward-slice
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{ from 0 }
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{ to 3 }
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{ seq { 1 2 3 3 2 1 } }
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}
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T{ stable-slice
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{ from 2 }
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{ to 4 }
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{ seq { 1 2 3 3 2 1 } }
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}
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T{ downward-slice
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{ from 3 }
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{ to 6 }
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{ seq { 1 2 3 3 2 1 } }
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}
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}
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] [ { 1 2 3 3 2 1 } trends ] unit-test
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@ -1,8 +1,11 @@
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! Copyright (C) 2008 Doug Coleman.
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! Copyright (C) 2008, 2009 Doug Coleman.
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! See http://factorcode.org/license.txt for BSD license.
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USING: make namespaces sequences kernel fry ;
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USING: make namespaces sequences kernel fry arrays compiler.utilities
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math accessors circular grouping combinators sorting math.order ;
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IN: splitting.monotonic
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<PRIVATE
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: ,, ( obj -- ) building get peek push ;
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: v, ( -- ) V{ } clone , ;
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: ,v ( -- ) building get dup peek empty? [ dup pop* ] when drop ;
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@ -13,5 +16,52 @@ IN: splitting.monotonic
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v, '[ over ,, @ [ v, ] unless ] 2each ,v
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] { } make ; inline
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PRIVATE>
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: monotonic-split ( seq quot -- newseq )
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over empty? [ 2drop { } ] [ (monotonic-split) ] if ; inline
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<PRIVATE
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: (monotonic-slice) ( seq quot class -- slices )
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-rot
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dupd '[
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[ length ] [ ] [ <circular> 1 over change-circular-start ] tri
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[ @ not [ , ] [ drop ] if ] 3each
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] { } make
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dup empty? [ over length 1- prefix ] when -1 prefix 2 clump
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[ first2 [ 1+ ] bi@ rot roll boa ] with with map ; inline
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PRIVATE>
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: monotonic-slice ( seq quot class -- slices )
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pick length {
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{ 0 [ 2drop ] }
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{ 1 [ nip [ 0 1 rot ] dip boa 1array ] }
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[ drop (monotonic-slice) ]
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} case ;
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TUPLE: downward-slice < slice ;
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TUPLE: stable-slice < slice ;
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TUPLE: upward-slice < slice ;
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: downward-slices ( seq -- slices )
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[ > ] downward-slice monotonic-slice [ length 1 > ] filter ;
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: stable-slices ( seq -- slices )
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[ = ] stable-slice monotonic-slice [ length 1 > ] filter ;
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: upward-slices ( seq -- slices )
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[ < ] upward-slice monotonic-slice [ length 1 > ] filter ;
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: trends ( seq -- slices )
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dup length {
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{ 0 [ ] }
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{ 1 [ [ 0 1 ] dip stable-slice boa ] }
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[
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drop
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[ downward-slices ]
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[ stable-slices ]
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[ upward-slices ] tri 3append [ [ from>> ] compare ] sort
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]
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} case ;
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