Data update
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1045 changed files with 18889 additions and 2777 deletions
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BEGIN # Sierpinski Triangle Curve in SVG #
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# uses the RC Algol 68 L-System library for the L-System evaluation & #
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# interpretation #
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PR read "lsystem.incl.a68" PR # include L-System utilities #
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PROC sierpinski triangle curve = ( STRING fname, INT size, length, order, init x, init y )VOID:
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IF FILE svg file;
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BOOL open error := IF open( svg file, fname, stand out channel ) = 0
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THEN
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# opened OK - file already exists and #
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# will be overwritten #
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FALSE
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ELSE
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# failed to open the file #
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# - try creating a new file #
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establish( svg file, fname, stand out channel ) /= 0
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FI;
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open error
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THEN # failed to open the file #
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print( ( "Unable to open ", fname, newline ) );
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stop
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ELSE # file opened OK #
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REAL x := init x;
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REAL y := init y;
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INT angle := 0;
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put( svg file, ( "<svg xmlns='http://www.w3.org/2000/svg' width='"
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, whole( size, 0 ), "' height='", whole( size, 0 ), "'>"
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, newline, "<rect width='100%' height='100%' fill='white'/>"
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, newline, "<path stroke-width='1' stroke='black' fill='none' d='"
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, newline, "M", whole( x, 0 ), ",", whole( y, 0 ), newline
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)
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);
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LSYSTEM ssc = ( "F-G-G"
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, ( "F" -> "F-G+F+G-F"
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, "G" -> "GG"
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)
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);
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STRING curve = ssc EVAL order;
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curve INTERPRET ( ( CHAR c )VOID:
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IF c = "F" OR c = "G" THEN
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x +:= length * cos( angle * pi / 180 );
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y +:= length * sin( angle * pi / 180 );
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put( svg file, ( " L", whole( x, 0 ), ",", whole( y, 0 ), newline ) )
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ELIF c = "+" THEN
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angle +:= 120 MODAB 360
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ELIF c = "-" THEN
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angle -:= 120 MODAB 360
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FI
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);
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put( svg file, ( "'/>", newline, "</svg>", newline ) );
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close( svg file )
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FI # sierpinski square # ;
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sierpinski triangle curve( "sierpinski_triangle.svg", 1200, 12, 5, 200, 400 )
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END
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@ -0,0 +1,9 @@
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y [[1 (0 0)] [1 (0 0)]]
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# infinite depth
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triangle [y [[0 1 [[0]] 1 1]]]
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:import std/Number .
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# limited depth
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triangle-n [y [[[[1 0 [[0]] 0 0] (=?1 [[1]] (2 --1))]]] (+7)]
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