check in kobie's image rotation code
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					Kobie Lurie
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					Doug Coleman
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					! Copyright (C) 2009 Kobie Lurie, Doug Coleman.
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					! See http://factorcode.org/license.txt for BSD license.
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					USING: accessors fry images.loader images.normalization
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					images.processing.rotation kernel literals math sequences
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					tools.test images.processing.rotation.private ;
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					IN: images.processing.rotation.tests
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					: first-row ( seq^2 -- seq ) first ;
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					: first-col ( seq^2 -- item ) harvest [ first ] map ;
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					: last-row ( seq^2 -- item ) last ;
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					: last-col ( seq^2 -- item ) harvest [ last ] map ;
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					: end-of-first-row ( seq^2 -- item ) first-row last ;
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					: first-of-first-row ( seq^2 -- item ) first-row first ;
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					: end-of-last-row ( seq^2 -- item ) last-row last ;
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					: first-of-last-row ( seq^2 -- item ) last-row first ;
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					<<
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					: clone-image ( image -- new-image )
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					    clone [ clone ] change-bitmap ;
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					>>
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					CONSTANT: pasted-image
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					    $[
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					        "vocab:images/processing/rotation/test-bitmaps/PastedImage.bmp"
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					        load-image normalize-image clone-image
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					    ]
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					CONSTANT: pasted-image90
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					    $[
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					        "vocab:images/processing/rotation/test-bitmaps/PastedImage90.bmp"
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					        load-image normalize-image clone-image
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					    ]
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					CONSTANT: lake-image
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					    $[
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					        "vocab:images/processing/rotation/test-bitmaps/lake.bmp"
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					        load-image preprocess
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					    ]
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					[ t ] [ pasted-image dup clone-image 4 [ 90 rotate ] times = ] unit-test
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					[ t ] [ pasted-image dup clone-image 2 [ 180 rotate ] times = ] unit-test
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					[ t ] [ pasted-image dup clone-image 270 rotate 90 rotate = ] unit-test
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					[ t ] [
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					    pasted-image dup clone-image dup { 90 180 90 } [ rotate drop ] with each =
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					] unit-test
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					[ t ] [
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					    pasted-image 90 rotate
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					    pasted-image90 = 
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					] unit-test
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					[ t ] [
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					    "vocab:images/processing/rotation/test-bitmaps/small.bmp"
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					    load-image 90 rotate 
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					    "vocab:images/processing/rotation/test-bitmaps/small-rotated.bmp"
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					    load-image normalize-image =
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					] unit-test
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					[ t ] [
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					    lake-image
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					    [ first-of-first-row ]
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					    [ 90 (rotate) end-of-first-row ] bi =
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					] unit-test
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					[ t ]
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					[ lake-image [ first-row ] [ 90 (rotate) last-col ] bi = ] unit-test
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					[ t ]
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					[ lake-image [ last-col ] [ 90 (rotate) last-row reverse ] bi = ] unit-test
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					[ t ]
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					[ lake-image [ last-row ] [ 90 (rotate) first-col ] bi = ] unit-test
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					[ t ]
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					[ lake-image [ first-col ] [ 90 (rotate) first-row reverse ] bi = ] unit-test
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					! Copyright (C) 2009 Kobie Lurie.
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					! See http://factorcode.org/license.txt for BSD license.
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					USING: accessors arrays colors combinators
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					combinators.short-circuit fry grouping images images.bitmap
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					images.loader images.normalization kernel locals math sequences ;
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					IN: images.processing.rotation
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					ERROR: unsupported-rotation degrees ;
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					<PRIVATE
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					: rotate-90 ( seq^3 -- seq^3 ) flip [ reverse ] map ;
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					: rotate-180 ( seq^3 -- seq^3 ) reverse [ reverse ] map ;
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					: rotate-270 ( seq^3 -- seq^3 ) flip reverse ;
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					: (rotate) ( seq n -- seq' )
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					    {
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					        { 0 [ ] }
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					        { 90 [ rotate-90 ] }
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					        { 180 [ rotate-180 ] }
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					        { 270 [ rotate-270 ] }
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					        [ unsupported-rotation ]
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					    } case ;
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					: rows-remove-pad ( byte-rows -- pixels' )
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					    [ dup length 4 mod head* ] map ; 
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					: row-length ( image -- n ) 
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					    [ bitmap>> length ] [ dim>> second ] bi /i ;
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					: image>byte-rows ( image -- byte-rows )
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					    [ bitmap>> ] [ row-length ] bi group rows-remove-pad ;
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					: (seperate-to-pixels) ( byte-rows image -- pixel-rows )
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					    component-order>> bytes-per-pixel '[ _ group ] map ;
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					: image>pixel-rows ( image -- pixel-rows )
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					    [ image>byte-rows ] keep (seperate-to-pixels) ;
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					: flatten-table ( seq^3 -- seq )
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					    [ concat ] map concat ;
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					: preprocess ( image -- pixelrows )
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					    normalize-image image>pixel-rows ;
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					: ?reverse-dimensions ( image n -- )
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					    { 270 90 } member? [ [ reverse ] change-dim ] when drop ;
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					:  normalize-degree ( n -- n' ) 360 rem ;
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					: processing-effect ( image quot -- image' )
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					    '[ preprocess @ flatten-table ] [ (>>bitmap) ] [ ] tri ; inline
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					:: rotate' ( image n -- image )
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					    n normalize-degree :> n'
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					    image preprocess :> pixel-table
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					    image n' ?reverse-dimensions
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					    pixel-table n' (rotate) :> table-rotated
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					    image table-rotated flatten-table >>bitmap ;
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					PRIVATE>
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					: rotate ( image n -- image' )
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					    normalize-degree
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					    [ '[ _ (rotate) ] processing-effect ] [ ?reverse-dimensions ] 2bi ;
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					: reflect-y-axis ( image -- image ) 
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					    [ [ reverse ] map ] processing-effect ;
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					: reflect-x-axis ( image -- image ) 
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					    [ reverse ] processing-effect ;
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