!This program will calculate the box counting dimension of a graphic object

!that is in a PICT file format; asks for filename and box size as inputs,

!then allows to click on the boxes, keeping count of how many (N).

!It outputs N and L, log(N) and log (1/L). To get a new output, run it again

!selecting a different box size L.

!

SET MODE "graphics"

ASK PIXELS hpix, vpix

LET ratio=hpix/vpix

SET WINDOW 0,ratio,0,1

!Lets import the picture to analyze its box counting dimension

OPEN #1: SCREEN 0,.4,.85,1

SET WINDOW 0,1,0,1

INPUT PROMPT "PICT FILENAME (Full path please):":filename$

CALL READ_image("PICT",picture$,filename$)

WINDOW #0

BOX SHOW picture$ AT 0,0

!Ask for box size (L)

WINDOW #1

INPUT PROMPT "BOX SIZE? (0 to 1) :":L

!Done if clicked at x<.2, to output N vs. L result

PRINT "CLICK ->HERE<- WHEN DONE"

!Let's draw the boxes of size L

WINDOW #0

FOR i = 0 to ratio step L

FOR j = 0 to 1 step L

BOX LINES i,i+L,j,j+L

NEXT j

NEXT i

!Lets click on the boxes, color them red, and count the clicks

LET count=0

DO

GET POINT x,y

IF x<.2 THEN EXIT DO

IF x>=.2 THEN

LET count=count+1

SET COLOR "red"

PLOT AREA: L*INT(x/L),L*INT(y/L);L*(INT(x/L)+1),L*INT(y/L);L*(INT(x/L)+1),L*(INT(y/L)+1);L*INT(x/L),L*(INT(y/L)+1);L*INT(x/L),L*INT(y/L)

END IF

LOOP

!Lets print the N vs L results

WINDOW #1

CLEAR

PRINT "N =";count;"BOXES OF SIZE L =";L

PRINT "LOG(N) =";LOG10(count)

PRINT "LOG(1/L) =";LOG10(1/L)

END