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Original
as seen in PCW March 1986 as program of the week
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BigEd
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473
MacFractal.bas
Normal file
473
MacFractal.bas
Normal file
@ -0,0 +1,473 @@
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REM MacFractal (c) Jack Weber - October 1985
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REM Plots fractal landscapes as a 3D grid by taking a random straight line
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REM across the grid and raising (or lowering) all points to one side of the
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REM line by one level step.
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REM Full hidden-line removal.
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REM Landscape may be flooded to any level.
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REM Adjustable vertical scale.
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REM Rotation in 90 degree steps in either direction.
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REM
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REM This program runs on a 128k or 512k Apple Macintosh under MS Basic.
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REM Passing this program through the Basic Compressor utility gives a speed
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REM increase of about 15%.
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REM
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GOSUB Initialise
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REM Main program loop prints current generation number in its own window
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REM then re-calculates the grid and, if necessary, draws it
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mainloop:
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FOR g%=gs% TO gen%
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WINDOW OUTPUT 3
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CLS
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CALL TEXTFONT(0)
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PRINT USING "#####";g%;
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GOSUB Calculate
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IF (g% MOD plot%=0) OR (g%=gen%) THEN GOSUB Plot
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NEXT
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REM When all iterations done, offer user choice to continue or stop there
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IF gen%>32000 THEN GOSUB Endless
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WINDOW 2,,(20,280)-(140,320),2
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BUTTON 1,1," Finished",(10,2)-(110,18),3
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BUTTON 2,1," Continue", (10,20)-(110,40),3
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WHILE DIALOG(0)<>1: WEND
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REM If "Finished" pressed hold display in endless loop
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IF DIALOG(1)=1 THEN WINDOW CLOSE 2: GOSUB Endless
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REM "Continue" pressed so increment generation counter and do 500 more gs%=gen$+1
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gen%=gen%+500
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WINDOW CLOSE 2
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GOTO mainloop
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END
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Initialise:
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REM Open main output window
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WINDOW 1,"MacFractal",(5,40)-(508,335),1
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CLS
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DIM c%(30,30), d%(30,30), poly%(12)
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RANDOMIZE TIMER
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REM Start with magnification=1, 1st generation and no flooding
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magn!=1
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gs%=1
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flood%=0
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REM Set up pattern array for shading flood water
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FOR i%=0 TO 3
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patt%(i%)=21930
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NEXT
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REM Open a window and enter size of grid and number of generations to be done
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WINDOW 2,,(100,80)-(400,170),2
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CALL TEXTFONT(0)
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xin:
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CALL MOVETO(25,20)
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INPUT "Enter extent of X axis (max 30) - ", xmax%
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IF xmax%>30 OR xmax%<2 THEN BEEP: GOTO xin
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yin:
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CALL MOVETO(25,45)
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INPUT "Enter extent of Y axis (max 30) - ", ymax%
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IF ymax%>30 OR ymax%<2 THEN BEEP: GOTO yin
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genin:
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CALL MOVETO(25,70)
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INPUT "Enter number of iterations - ", gen%
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IF gen%>32000 OR gen%<1 THEN BEEP: GOTO genin
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REM Close that window and open new one to enter frequency of plots
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WINDOW CLOSE 2
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WINDOW 2,,(100,100)-(400,220),2
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CALL TEXTFONT(0)
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PRINT " How many iterations between plots?"
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BUTTON 1,1,"1",(20,25)-(65,50),3
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BUTTON 2,1,"10",(155,25)-(200,50),3
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BUTTON 3,1,"50",(20,55)-(70,80),3
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BUTTON 4,1,"100",(155,55)-(215,80),3
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BUTTON 5,1,"Draw final surface only",(20,85)-(220,110),3
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WHILE DIALOG(0)<> 1: WEND
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press%=DIALOG(l)
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plot%=1
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IF press%=2 THEN plot%=10
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IF press%=3 THEN plot%=50
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IF press%=4 THEN plot%=100
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IF press%=5 THEN plot%=gen%
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WINDOW CLOSE 2
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REM Calculate screen co-ordinates of grid origin according to size of grid
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REM but they could just as easily be fixed near the centre top of the screen
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xo%=334-2*xmax%
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yo%=80-2*ymax%
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REM Put plot manipulation options in menu bar
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MENU 6,0,1,"Landscape"
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MENU 6,1,1,"Rotate left"
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MENU 6,2,1,"Rotate right"
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MENU 6,3,1,"Magnify"
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MENU 6,4,1,"Flood"
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ON MENU GOSUB Menucheck
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REM Advise user if initial iterations are likely to take a long time
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IF plot%=1 AND (xmax%*ymax%)<400 GOTO ready
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WINDOW 2,,(150,100)-(350,190),4
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PRINT: PRINT " Performing initial iteration";
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IF plot%>1 THEN PRINT "s" ELSE PRINT"???"
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CALL TEXTFONT(0)
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PRINT: PRINT TAB(8);"Please wait"
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ready:
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REM Open small window to display generation number
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WINDOW 3,,(10,50)-(60,66),4
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MENU ON
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RETURN
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Calculate:
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MENU STOP
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ortho%=0
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REM Select two sides which fault line will cross
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side%(1)=INT(RND*4)
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side2:
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side%(2)=INT(RND*4)
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IF side%(2)=side%(1) GOTO side2
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REM Pos subroutines select random positions where line will cross the sides
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FOR i%= 1 TO 2
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ON side%(i%)+1 GOSUB Pos1,Pos2,Pos3,Pos4
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NEXT
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REM Set flag if line parallel to Y-axis to avoid division by zero
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IF xx%(1)=xx%(2) THEN ortho%=1 : GOTO skipover
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REM Equation of straight line is y=m*x+k. Calculate m and k
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m=(yy%(2)-yy%(1))/(xx%(2)-xx%(1))
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k=yy%(l)-m*xx%(1)
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skipover:
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REM Select whether points above line are to be raised or lowered
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q%=INT(RND*2): IF q%=0 THEN q%=-1
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REM Check all grid points. If above line raise (or lower)
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FOR x%=1 TO xmax%
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REM First find y co-ordinate of the line at that value of x
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yp%=INT(m*x%+k)
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FOR y%=l TO ymax%
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IF ortho%=0 AND y%>yp% THEN c%(x%,y%)=c%(x%,y%)+q%: GOTO nex
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IF ortho%=1 AND x%>xx%(1) THEN c%(x%,y%)=c%(x%,y%)+q%
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nex:
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NEXT
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NEXT
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MENU ON
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RETURN
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Pos1:
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xx%(i%)=1: yy%(i%)=INT(RND*ymax%)+1
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RETURN
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Pos2:
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xx%(i%)=INT(RND*xmax%)+1: yy%(i%)=ymax%
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RETURN
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Pos3:
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xx%(i%)=xmax%: yy%(i%)=INT(RND*ymax%)
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RETURN
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Pos4:
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xx%(i%)=INT(RND*xmax%): yy%(i%)=1
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RETURN
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Plot:
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MENU STOP
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WINDOW CLOSE 2
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WINDOW OUTPUT 1
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CLS
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REM Use separate plotting routines for flooding on or off
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IF flood%=0 THEN GOSUB Dryplot ELSE GOSUB Floodplot
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MENU ON
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RETURN
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Dryplot:
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REM Scan all grid points
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FOR x%= 1 TO xmax%
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FOR y%= 1 TO ymax%
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REM Calculate screen co-ordinates of first corner of grid square at (x%,y%)
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x1%=xo%+(y%-x%)*7
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y1%=yo%-INT(magn!*c%(x%,y%))+(x%+y%)*4
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REM Then calculate screen co-ordinates of second corner at (y%-1,y%)
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x2%=x1%+7
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y2%=yo%-INT(magn!*c%(x%-1,y%))+(x%-1+y%)*4
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REM Draw side of grid square parallel to X-axis
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REM First erase hidden-lines by drawing broad line in white
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CALL PENSIZE(1,30): CALL PENMODE(11)
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CALL MOVETO(x2%,y2%): CALL LINETO(x1%,y1%)
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REM Then draw new line
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IF x%>1 THEN LINE(x%,y1%)-(x2%,y2%)
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REM If end of row has been reached then second line riot needed so skip on
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IF y%=ymax% GOTO loopdry
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REM Draw side of grid square parallel to V-axis
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REM Calculate co-ordinates of 3rd corner at (x%,y%+1)
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y3%=yo%-INT (magn!*c%(x%,y%+1))+(x%+y%+1)*4
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REM Erase hidden-lines as before
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CALL LINETO(x2%,y3%)
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REM Draw new line
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LINE(x1%,y1%)-(x2%,y3%)
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loopdry:
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NEXT
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NEXT
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REM Draw base of grid
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CALL PENNORMAL
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REM First find altitudes of the three visible corners
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ca%=c%(xmax%,1): cb%=c%(xmax%,ymax%): cc%=c%(l,ymax%)
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REM Then draw three vertical lines down from these corners
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LINE(xo%+(1-xmax%)*7,yo%+(xmax%+1)*4-INT(magn!*ca%))-STEP(0,30+INT(magn!*ca%))
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LINE(xo%+(ymax%-xmax%)*7,yo%+(xmax%+ymax%)*4-INT(magn!*cb%))-
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STEP(0,30+INT(magn!*cb%))
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LINE(xo%+(ymax%-1)*7,yo%+(1+ymax%)*4-INT(magn!*cc%))-
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STEP(0,30+INT(magn!*cc%))
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REM Finally draw the two base lines
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LINE-STEP((1-xmax%)*7,(xmax%-1)*4)
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LINE-STEP((1-ymax%)*7,(1-ymax%)*4)
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RETURN
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Floodplot:
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FOR x%= 1 TO xmax%
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FOR y%=l TO ymax%
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REM Check level to see if this point is flooded.
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REM If it is, draw it at water level
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IF c%(x%,y%)<ml% THEN ca%=ml% ELSE ca%=c%(x%,y%)
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IF c%(x%-1,y%)<ml% THEN cb%=ml% ELSE cb%=c%(x%-1,y%)
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REM Calculate co-ordinates and plot as for dry
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x1%=xo%+(y%-x%)*7
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y1%=yo%-INT(magn!*ca%)+(x%+y%)*4
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x2%=x1%+7
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y2%=yo%-INT(magn!*cb%)+(x%-1+y%)*4
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CALL PENSIZE(1,30): CALL PENMODE(11)
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CALL MOVETO(x2%,y2%): CALL LINETO(xl%,yl%)
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IF x%>1 THEN LINE(xl%,y1%)-(x2%,y2%)
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IF y%=ymax% GOTO loopflood
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IF c%(x%,y%+l)<ml% THEN cc%=ml% ELSE cc%=c%(x%,y%+l)
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y3%=yo%-INT(magn!*cc%)+(x%+y%+1)*4
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CALL LINETO(x2%,y3%)
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LINE(x1%,y1%)-(x2%,y3%)
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loopflood:
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REM Shade any part of square which is flooded
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GOSUB Shade
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NEXT
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NEXT
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CALL PENNORMAL
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REM Draw base as for dry
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IF c%(xmax%,1)<ml% THEN ca%=ml% ELSE ca%=c%(xmax%,l)
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IF c%(xmax%,ymax%)<ml% THEN cb%=ml% ELSE cb%=c%(xmax%,ymax%)
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IF c%(l,ymax%)<ml% THEN cc%=ml% ELSE cc%=c%(l,ymax%)
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LINE(xo%+(1-xmax%)*7,yo%+(xmax%+l)*4-INT(magn!*ca%))-
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STEP(0,30+INT(magn!*ca%))
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LINE(xo%+(ymax%-xmax%)*7,yo%+(xmax%+ymax%)*4-INT(magn!*cb%))-
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STEP(0,30+INT(magn!*cb%))
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LINE(xo%+(ymax%-1)*7,yo%+(l+ymax%)*4-INT(magn!*cc%))-
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STEP(0,30+INT(magn!*cc%))
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LINE-STEP((1-xmax%)*7,(xmax%- 1)*4)
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LINE-STEP((1-ymax%)*7,(1-ymax%)*4)
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RETURN
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Menucheck: A menu selection has been detected - find what it is
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menunumber%=MENU(0)
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IF menunumber%<>6 THEN RETURN
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menuitem%=MENU(1)
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ON menuitem% GOSUB Rotateleft,Rotateright, Magnify, Flood
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RETURN
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Rotateleft:
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REM Rotate by reading c& array into dX array with axes interchanged
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FOR x%=1 TO xmax%
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FOR y%=l TO ymax%: d%(ymax%-y%+1,x%)=c%(x%,y%): NEXT
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NEXT
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REM Then return rotated data to c% array
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SWAP xmax%,ymax%
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FOR x%=0 TO xmax%
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FOR y%=1 TO ymax%: c%(x%,y%)=d%(x%,y%): NEXT
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NEXT
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GOSUB Plot
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MENU
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RETURN
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Rotateright:
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FOR x%=l TO xmax%
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FOR y%=1 TO ymax%: d%(y%,xmax%-x%+1)=c%(x%,y%): NEXT
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NEXT
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SWAP xmax%,ymax%
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FOR x%=0 TO xmax%
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FOR y%=0 TO ymax%: c%(x%,y%)=d%(x%,y%): NEXT
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NEXT
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GOSUB Plot
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MENU
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RETURN
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Magnify:
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REM Open window to enter desired vertical scale magnification
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WINDOW 2,,(80,100)-(420,220),2
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CALL TEXTFONT(0)
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PRINT SPC(4);"adjust vertical magnification as required"
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REM Draw magnification selection bar
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LINE(15,70)-(325,90),,b
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LINE(16,71)-(324,89),,b
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BUTTON 1,1,"OK",(240,25)-(290,55),1
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REM Put scale markings and labels onto selection bar
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FOR i%=20 TO 320 STEP 20: LINE(1%,90)-(i%,95): NEXT
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CALL TEXTFONT(1)
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CALL TEXTSIZE(9)
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FOR i%=20 TO 320 STEP 100
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CALL MOVETO(i%,108)
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PRINT .5*(1+(i%-20)/l00);
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LINE(i%,95)-(i%,100)
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NEXT
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REM Draw magnification pointer to show current magnification
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REM allow it to move with the mouse until the OK button is pressed
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LINE(20+(magn!-.5)*200,72)-STEP(0, 16)
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WHILE DIALOG(0)<> 1
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IF MOUSE(0)<>0 THEN GOSUB Mousemag
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WEND
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WINDOW CLOSE 2
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REM Re-draw grid with new magnification
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GOSUB Plot
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MENU
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RETURN
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Mousemag:
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REM Find position of mouse, if it is within selection bar then move pointer
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IF MOUSE(1)<15 OR MOUSE(1)>325 THEN RETURN
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IF MOUSE(2)<70 OR MOUSE(2)>90 THEN RETURN
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LINE(20+(magn!-.5)*200,72)-STEP(0,16),30
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magn!=.5+((MOUSE(1)-20)\20)/10
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LINE(20+(magn!-.5)*200,72)-STEP(0,16)
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RETURN
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Flood:
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REM Open a window
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WINDOW 2,,(80,100)-(420,220),2
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PRINT: PRINT: PRINT SPC(14);"Calculating levels"
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CALL TEXTFONT(0)
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PRINT: PRINT SPC(16);"Please wait"
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REM Find highest and lowest levels present within the array
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min%=10000
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max%=-10000
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FOR x%=1 TO xmax%
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FOR y%=l TO ymax%
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IF c%(x%,y%)<min% THEN min%=c%(x%,y%)
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IF c%(x%,y%)>max% THEN max%=c%(x%,y%)
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NEXT
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NEXT
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CLS
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CALL TEXTFONT(1)
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CALL TEXTSIZE(9)
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REM Draw flood level selection bar
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LINE(17,70)-(323,90),,b
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LINE(18,71)-(322,89),,b
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REM Put scale markings and labels on selection bar
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div%(max%-min%)\10: IF div%=0 THEN div%=l
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FOR i%=min% TO max%
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scalex%=20+(i%-min%)*300/(max%-min%)
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IF i% MOD div%=0 OR i%=max% THEN LINE(scalex%,90)-STEP(0,6)
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IF i% MOD (div%*5)=0 OR i%=min% OR i%=max% THEN
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CALL MOVETO(scalex%-10,110): PRINT i%;
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NEXT
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CALL TEXTSIZE(12)
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CALL TEXTFONT(0)
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CALL MOVETO(50,50): PRINT "Select required water level";
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BUTTON 1,1,"OK",(270,10)-(320,40),1
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level%=ml%-min%
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REM If Flood had been previously selected, the old level may now be outside
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REM the present level range - adjust if necessary
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IF flood%=0 OR level%<0 THEN level%=0
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IF level%>max%-min% THEN level%=max%-min%
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REM Draw pointer on selection bar to show current water level
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REM allow it to move with the mouse until the OK button is pressed
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LINE(20+level%*300/(max%-min%),72)-STEP(0,16)
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WHILE DIALOG(0)<>1
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IF MOUSE(0)<>0 THEN GOSUB Mouseflood
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WEND
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ml%=min%+level%
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REM Set flood flag if chosen flood level is not zero
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IF level%>0 THEN flood%=1
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WINDOW CLOSE 2
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REM Re-draw grid with new flood level
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GOSUB Plot
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MENU
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RETURN
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Mouseflood:
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REM Find position of mouse, if it is within selection bar then move pointer
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IF MOUSE(1)<20 OR MOUSE(1)>320 THEN RETURN
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IF MOUSE(2)<70 OR MOUSE(2)>90 THEN RETURN
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LINE(20+level%*300/(max%-min%),72)-STEP(0,16),30
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level%=(MOUSE(1)-20)/(300/(max%-min%))
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LINE(20+level%*300/(max%-min%),72)-STEP(0,16)
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RETURN
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Shade:
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IF x%=1 OR y%>=ymax% THEN RETURN
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REM Count number of corners in each grid square which are below flood level
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corner%=0
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maglev%=INT(magn!*ml%)
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IF c%(x%,y%)<=ml% THEN corner%=l
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IF c%(x%-1,y%)<=ml% THEN corner%=corner%+1
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IF c%(x%,y%+1)<=ml% THEN corner%=corner%+1
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IF c%(x%-1,y%+1)<=ml% THEN corner%=corner%+1
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REM No shading if less than 3 corners are below flood level
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IF corner%<3 THEN RETURN
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REM Prepare array for Toolbox FILLPOLY subroutine
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poly%(1)=yo%+(x%-1+y%)*4-maglev%
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poly%(2)=xo%+(y%-x%)*7
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poly%(3)=poly%(1)+8
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poly%(4)=poly%(2)+14
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REM If 3 corners wet shade triangle. If all 4 wet shade whole square
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IF corner%=3 THEN GOSUB Trishade ELSE GOSUB Squareshade
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CALL FILLPOLY(VARPTR(poly%(0)),VARPTR(patt%(O)))
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RETURN
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Trishade:
|
||||
poly%(0)=22
|
||||
REM Find which of 4 possible triangles needs shading
|
||||
IF c%(x%,y%)>ml% THEN GOSUB Tri1: RETURN
|
||||
IF c%(x%-1,y%)>ml% THEN GOSUB Tri2: RETURN
|
||||
IF c%(x%,y%+1)>ml% THEN GOSUB Tri3: RETURN
|
||||
GOSUB Tri4
|
||||
RETURN
|
||||
|
||||
Tri1:
|
||||
poly%(5)=poly%(l)
|
||||
poly%(6)=poly%(2)+7
|
||||
poly%(7)=poly%(3)
|
||||
poly%(8)=poly%(6)
|
||||
poly%(9)=poly%(1)+4
|
||||
poly%(10)=poly%(4)
|
||||
poly%(2)=poly%(6)
|
||||
RETURN
|
||||
|
||||
Tri2:
|
||||
poly%(5)=poly%(l)+4
|
||||
poly%(6)=poly%(2)
|
||||
poly%(7)=poly%(3)
|
||||
poly%(8)=poly%(2)+7
|
||||
poly%(9)=poly%(5)
|
||||
poly%(10)=poly%(4)
|
||||
poly%(l)=poly%(5)
|
||||
RETURN
|
||||
|
||||
Tri3:
|
||||
poly%(5)=poly%(1)+4
|
||||
poly%(6)=poly%(2)
|
||||
poly%(7)=poly%(l)
|
||||
poly%(8)=poly%(2)+7
|
||||
poly%(9)=poly%(5)
|
||||
poly%(10)=poly%(4)
|
||||
poly%(3)=poly%(5)
|
||||
RETURN
|
||||
|
||||
Tri4:
|
||||
poly%(5)=poly%(1)+4
|
||||
poly%(6)=poly%(2)
|
||||
poly%(7)=poly%(3)
|
||||
poly%(8)=poly%(2)+7
|
||||
poly%(9)=poly%(1)
|
||||
poly%(10)=poly%(a)
|
||||
poly%(4)=poly%(8)
|
||||
RETURN
|
||||
|
||||
Squareshade:
|
||||
poly%(0)=26
|
||||
poly%(5)=poly%(1)+4
|
||||
poly%(6)=poly%(2)
|
||||
poly%(7)=poly%(3)
|
||||
poly%(8)=poly%(2)+7
|
||||
poly%(9)=poly%(5)
|
||||
poly%(1O)=poly%(4)
|
||||
poly%(11)=poly%(1)
|
||||
poly%(12)=poly%(8)
|
||||
RETURN
|
||||
|
||||
Endless:
|
||||
WHILE 1<2: WEND
|
||||
RETURN
|
||||
Loading…
Reference in New Issue
Block a user