RosettaCodeData/Task/Bitmap-Midpoint-circle-algo.../REXX/bitmap-midpoint-circle-algo...

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Rexx

/*REXX program plots three circles using midpoint/Bresenham's circle algorithm*/
@. = '·' /*fill the array with middle─dots char.*/
minX=0; maxX=0; minY=0; maxY=0 /*initialize the minimums and maximums.*/
call drawCircle 0, 0, 8, '#' /*plot 1st circle with pound character.*/
call drawCircle 0, 0, 11, '$' /* " 2nd " " dollar " */
call drawCircle 0, 0, 19, '@' /* " 3rd " " commercial at. */
border=2 /*BORDER: shows N extra grid points.*/
minX=minX-border*2; maxX=maxX+border*2 /*adjust min and max X to show border*/
minY=minY-border ; maxY=maxY+border /* " " " " Y " " " */
if @.0.0==@. then @.0.0='' /*maybe define the plot's axis origin. */
/*define the plot's horizontal grid──┐ */
do h=minX to maxX; if @.h.0==@. then @.h.0=''; end /* ◄───────────┘ */
do v=minY to maxY; if @.0.v==@. then @.0.v=''; end /* ◄──────────┐ */
/*define the plot's vertical grid───┘ */
do y=maxY by -1 to minY; aRow= /* [↓] draw grid from top ──► bottom.*/
do x=minX to maxX /* [↓] " " " left ──► right. */
aRow=aRow || @.x.y /*build a grid row, one char at a time.*/
end /*x*/ /* [↑] a grid row should be finished. */
say aRow /*display a single row of the grid. */
end /*y*/
exit /*stick a fork in it, we're all done. */
/*────────────────────────────────────────────────────────────────────────────*/
drawCircle: procedure expose @. minX maxX minY maxY /* [↓] Y is defined as R*/
parse arg xx,yy,r 1 y,plotChar; f=1-r; fx=1; fy=-2*r /*get the X,Y coördinates*/
do x=0 while x<y /*▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒*/
if f>=0 then do; y=y-1; fy=fy+2; f=f+fy; end /**/
fx=fx+2; f=f+fx /**/
call plotPoint xx+x, yy+y /**/
call plotPoint xx+y, yy+x /**/
call plotPoint xx+y, yy-x /**/
call plotPoint xx+x, yy-y /**/
call plotPoint xx-y, yy+x /**/
call plotPoint xx-x, yy+y /**/
call plotPoint xx-x, yy-y /**/
call plotPoint xx-y, yy-x /**/
end /*x*/ /* [↑] place plot points ══► plot.▒▒▒▒▒▒▒▒▒▒▒▒▒*/
return
/*────────────────────────────────────────────────────────────────────────────*/
plotPoint: parse arg c,r; @.c.r=plotChar /*assign a character to be plotted.*/
minX=min(minX,c); maxX=max(maxX,c) /*find the minimum and maximum X. */
minY=min(minY,r); maxY=max(maxY,r) /* " " " " " Y. */
return