golden-section: revisit a few items
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USING: kernel namespaces math math.constants math.functions arrays sequences
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opengl opengl.gl opengl.glu ui ui.render ui.gadgets ui.gadgets.theme
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ui.gadgets.slate colors ;
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opengl opengl.gl opengl.glu ui ui.render ui.gadgets ui.gadgets.theme
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ui.gadgets.slate colors accessors combinators.cleave ;
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IN: golden-section
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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! To run:
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! "golden-section" run
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: disk ( radius center -- )
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glPushMatrix
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gl-translate
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dup 0 glScalef
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gluNewQuadric [ 0 1 20 20 gluDisk ] [ gluDeleteQuadric ] bi
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glPopMatrix ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: disk ( quadric radius center -- )
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glPushMatrix
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gl-translate
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dup 0 glScalef
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0 1 10 10 gluDisk
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glPopMatrix ;
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! omega(i) = 2*pi*i*(phi-1)
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! x(i) = 0.5*i*cos(omega(i))
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! y(i) = 0.5*i*sin(omega(i))
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! radius(i) = 10*sin((pi*i)/720)
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: omega ( i -- omega ) phi 1- * 2 * pi * ;
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: x ( i -- x ) dup omega cos * 0.5 * ;
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: x ( i -- x ) [ omega cos ] [ 0.5 * ] bi * ;
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: y ( i -- y ) [ omega sin ] [ 0.5 * ] bi * ;
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: y ( i -- y ) dup omega sin * 0.5 * ;
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: center ( i -- point ) dup x swap y 2array ;
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: center ( i -- point ) { x y } 1arr ;
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: radius ( i -- radius ) pi * 720 / sin 10 * ;
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: color ( i -- color ) 360.0 / dup 0.25 1 4array ;
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: rim ( quadric i -- )
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black gl-color dup radius 1.5 * swap center disk ;
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: rim ( i -- ) [ drop black gl-color ] [ radius 1.5 * ] [ center ] tri disk ;
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: inner ( i -- ) [ color gl-color ] [ radius ] [ center ] tri disk ;
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: inner ( quadric i -- )
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dup color gl-color dup radius swap center disk ;
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: dot ( i -- ) [ rim ] [ inner ] bi ;
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: dot ( quadric i -- ) 2dup rim inner ;
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: golden-section ( quadric -- ) 720 [ dot ] with each ;
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: golden-section ( -- ) 720 [ dot ] each ;
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! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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: with-quadric ( quot -- )
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gluNewQuadric [ swap call ] keep gluDeleteQuadric ; inline
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: display ( -- )
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GL_PROJECTION glMatrixMode
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glLoadIdentity
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-400 400 -400 400 -1 1 glOrtho
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GL_MODELVIEW glMatrixMode
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glLoadIdentity
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[ golden-section ] with-quadric ;
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GL_PROJECTION glMatrixMode
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glLoadIdentity
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-400 400 -400 400 -1 1 glOrtho
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GL_MODELVIEW glMatrixMode
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glLoadIdentity
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golden-section ;
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: golden-section-window ( -- )
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[
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[ display ] <slate>
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{ 600 600 } over set-slate-pdim
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"Golden Section" open-window
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] with-ui ;
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[ display ] <slate>
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{ 600 600 } >>pdim
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"Golden Section" open-window
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]
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with-ui ;
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MAIN: golden-section-window
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