September 2017 Update
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Ingy döt Net
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14570 changed files with 153136 additions and 63871 deletions
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/*REXX program plots/draws a line using the Xiaolin Wu line algorithm. */
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background='·' /*background character: a middle-dot. */
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image.=background /*fill the array with middle-dots. */
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plotC='░▒▓█' /*characters used for plotting points. */
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EoE=1000 /*EOE = End Of Earth, er, ··· graph. */
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do j=-EoE to +EoE /*define the graph: lowest ──► highest.*/
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image.j.0='─' /*define the graph's horizontal axis. */
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image.0.j='│' /* " " " verical " */
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end /*j*/
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image.0.0='┼' /*define the graph's axis origin (char)*/
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parse arg xi yi xf yf . /*allow specifying the line-end points.*/
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if xi=='' | xi=="," then xi= 1 /*Not specified? Then use the default.*/
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if yi=='' | yi=="," then yi= 2 /* " " " " " " */
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if xf=='' | xf=="," then xf=11 /* " " " " " " */
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if yf=='' | yf=="," then yf=12 /* " " " " " " */
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minX=0; minY=0 /*use these as the limits for plotting.*/
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maxX=0; maxY=0 /* " " " " " " " */
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call drawLine xi, yi, xf, yf /*invoke subroutine and graph the line.*/
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border=2 /*allow additional space (plot border).*/
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minX=minX-border*2; maxX=maxX+border*2 /* *2 preserves screen's aspect ratio.*/
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minY=minY-border ; maxY=maxY+border
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do y=maxY by -1 to minY; _= /*build a row.*/
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do x=minX to maxX; _=_ || image.x.y; end /*x*/
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say _ /*display row.*/
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end /*y*/ /*graph is cropped by the MINs and MAXs*/
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exit /*stick a fork in it, we're all done. */
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/*────────────────────────────────────────────────────────────────────────────*/
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/*REXX program plots/draws (ASCII) a line using the Xiaolin Wu line algorithm. */
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background= '·' /*background character: a middle-dot. */
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image.= background /*fill the array with middle-dots. */
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plotC= '░▒▓█' /*characters used for plotting points. */
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EoE= 3000 /*EOE = End Of Earth, er, ··· graph. */
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do j=-EoE to +EoE /*define the graph: lowest ──► highest.*/
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image.j.0= '─' /*define the graph's horizontal axis. */
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image.0.j= '│' /* " " " verical " */
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end /*j*/
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image.0.0= '┼' /*define the graph's axis origin (char)*/
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parse arg xi yi xf yf . /*allow specifying the line-end points.*/
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if xi=='' | xi=="," then xi= 1 /*Not specified? Then use the default.*/
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if yi=='' | yi=="," then yi= 2 /* " " " " " " */
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if xf=='' | xf=="," then xf=11 /* " " " " " " */
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if yf=='' | yf=="," then yf=12 /* " " " " " " */
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minX=0; minY=0 /*use these as the limits for plotting.*/
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maxX=0; maxY=0 /* " " " " " " " */
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call drawLine xi, yi, xf, yf /*invoke subroutine and graph the line.*/
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border=2 /*allow additional space (plot border).*/
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minX=minX - border * 2; maxX=maxX+border * 2 /*preserve screen's aspect ratio {*2}.*/
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minY=minY - border ; maxY=maxY+border
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do y=maxY to minY by -1; _= /*construct a row.*/
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do x=minX to maxX; _=_ || image.x.y; end /*x*/
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say _ /*display the constructed row to term. */
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end /*y*/ /*graph is cropped by the MINs and MAXs*/
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exit /*stick a fork in it, we're all done. */
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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drawLine: parse arg x1,y1,x2,y2; switchXY=0; dx=x2-x1
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dy=y2-y1
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if abs(dx) < abs(dy) then parse value x1 y1 x2 y2 dx dy with,
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y1 x2 y2 x2 dy dx
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if x2<x1 then parse value x1 x2 y1 y2 1 with,
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x2 x1 y2 y1 switchXY
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if abs(dx)<abs(dy) then parse value x1 y1 x2 y2 dx dy with y1 x2 y2 x2 dy dx
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if x2<x1 then parse value x1 x2 y1 y2 1 with x2 x1 y2 y1 switchXY
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gradient=dy/dx
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xend=round(x1) /*◄─────────────────1st endpoint.══════════════*/
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yend=y1 + gradient*(xend-x1); xgap=1-fpart(x1 + .5)
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xend=round(x1) /*◄─────────────────1st endpoint.══════════════*/
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yend=y1 + gradient * (xend-x1); xgap=1 - fpart(x1 + .5)
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xpx11=xend; ypx11=floor(yend)
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intery=yend+gradient
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call plotXY xpx11, ypx11, brite(1-fpart(yend*xgap)), switchXY
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call plotXY xpx11, ypx11+1, brite( fpart(yend*xgap)), switchXY
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xend=round(x2) /*◄─────────────────2nd endpoint.══════════════*/
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yend=y2 + gradient*(xend-x2); xgap=fpart(x2 + .5)
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call plotXY xpx11, ypx11, brite(1 - fpart(yend*xgap)), switchXY
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call plotXY xpx11, ypx11+1, brite( fpart(yend*xgap)), switchXY
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xend=round(x2) /*◄─────────────────2nd endpoint.══════════════*/
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yend=y2 + gradient * (xend-x2); xgap= fpart(x2 + .5)
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xpx12=xend; ypx12=floor(yend)
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call plotXY xpx12, ypx12 , brite(1-fpart(yend*xgap)), switchXY
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call plotXY xpx12, ypx12+1, brite( fpart(yend*xgap)), switchXY
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call plotXY xpx12, ypx12 , brite(1 - fpart(yend*xgap)), switchXY
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call plotXY xpx12, ypx12+1, brite( fpart(yend*xgap)), switchXY
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do x=xpx11+1 to xpx12-1 /*◄───draw the line.═════════════*/
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do x=xpx11+1 to xpx12-1 /*◄───draw the line.═════════════*/
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!intery=floor(intery)
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call plotXY x, !intery , brite(1-fpart(intery)), switchXY
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call plotXY x, !intery+1, brite( fpart(intery)), switchXY
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intery=intery+gradient
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call plotXY x, !intery , brite(1 - fpart(intery)), switchXY
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call plotXY x, !intery+1, brite( fpart(intery)), switchXY
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intery=intery + gradient
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end /*x*/
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return
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/*────────────────────────────────short subroutines and functions.────────────*/
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brite: return substr(background||plotC, 1+round(abs(arg(1))*length(plotC)),1)
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floor: parse arg ?; _=trunc(?); return _ - (?<0) * (?\=_)
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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brite: return substr(background || plotC, 1 + round( abs( arg(1) ) * length(plotC)), 1)
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floor: parse arg ?; _=trunc(?); return _ - (?<0) * (?\=_)
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fpart: parse arg ?; return abs(? - trunc(?))
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round: return format(arg(1), , word(arg(2) 0, 1))
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plotXY: parse arg xx,yy,bc,switchYX; if switchYX then parse arg yy,xx
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image.xx.yy=bc; minX=min(minX,xx); maxX=max(maxX,xx)
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minY=min(minY,yy); maxY=max(maxY,yy)
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return
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round: return format(arg(1), , word(arg(2) 0, 1) )
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/*──────────────────────────────────────────────────────────────────────────────────────*/
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plotXY: parse arg xx,yy,bc,switchYX; if switchYX then parse arg yy,xx
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image.xx.yy=bc; minX=min(minX, xx); maxX=max(maxX,xx)
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minY=min(minY, yy); maxY=max(maxY,yy); return
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