Simple Maze using Truchet Tiles


Author Message
William Leue
Senior Member

Joined: 03/07/2020
Location: United States
Posts: 259
Posted: 03:14pm 02 Apr 2021      

I'm tired of wrestling with the code for some of my more ambitious CMM2 projects, so here's a tiny little program that creates a sort-of maze using Truchet Tiles (see Wikipedia). It has a very close relationship to the famous one-line Commodore Pet maze generator known as '10Print'.

' Maze formed from Truchet Tiles
' This is basically the same algorithm as the famous
' Commodore Pet '10Print' one-line maze.
' Rev 1.0.0 William M Leue 4/1/2021
option default integer
option base 1

const TSIZE = 30

cls
ncols = MM.HRES\TSIZE
nrows = MM.VRES\TSIZE
for row = 1 to nrows
 y = (row-1)*TSIZE
 for col = 1 to ncols
   x = (col-1)*TSIZE
   DrawTruchetTile x, y, rnd()
 next col
next row
end

sub DrawTruchetTile x, y, r as float
 local cx, cy
 if r < 0.5 then
   cx = x : cy = y + TSIZE
   arc cx, cy, TSIZE\2,, 0, 90
   cx = x + TSIZE : cy = y
   arc cx, cy, TSIZE\2,, 180, 270
 else
   cx = x: cy = y
   arc cx, cy, TSIZE\2,, 90, 180
   cx = x + TSIZE: cy = y + TSIZE
   arc cx, cy, TSIZE\2,, -90, 0
 end if
end sub





vegipete

Guru

Joined: 29/01/2013
Location: Canada
Posts: 813
Posted: 12:01am 03 Apr 2021      

Cool!

Here's a slight variation. I fudged the numbers slightly to get joined arcs, extended the loops to go past the screen edges, put a box around the perimeter and added a flood fill to colour a portion of the 'maze'. The red dot shows the start of the flood fill. Press any key for another image, [Esc] to quit.

Edit: added the option for corners instead of curves. Press "1" to change to corners, "0" to change to curves.

It would be handy to know how many pixels the flood fill command actually drew...

' Maze formed from Truchet Tiles
' This is basically the same algorithm as the famous
' Commodore Pet '10Print' one-line maze.
' Rev 1.0.0 William M Leue 4/1/2021
option default integer
option base 1

const TSIZE = 30
CORNERS = 0

do
 cls
 ncols = MM.HRES\TSIZE
 nrows = MM.VRES\TSIZE
 for row = 1 to nrows+1
   y = (row-1)*TSIZE
   for col = 1 to ncols+1
     x = (col-1)*TSIZE
     DrawTruchetTile x, y, rnd()
   next col
 next row
 box 0,0,MM.HRES,MM.VRES
 pixel fill ncols*TSIZE/2,nrows*TSIZE/2,rgb(blue)
 circle ncols*TSIZE/2,nrows*TSIZE/2,TSIZE/4,0,1,,rgb(red)
 do : k$ = inkey$ : loop until k$ <> ""
 if k$ = "1" then CORNERS = 1
 if k$ = "0" then CORNERS = 0
loop until k$ = chr$(27)
end

sub DrawTruchetTile x, y, r as float
 if CORNERS then
   if r < 0.5 then
     line x + TSIZE/2, y, x + TSIZE, y + TSIZE/2
     line x, y + TSIZE/2, x + TSIZE/2, y + TSIZE
   else
     line x + TSIZE/2, y, x, y + TSIZE/2
     line x + TSIZE, y + TSIZE/2, x + TSIZE/2, y + TSIZE
   end if
 else
   if r < 0.5 then
     arc x, y + TSIZE, TSIZE/2,, 0, 93
     arc x + TSIZE, y, TSIZE/2,, 180, 273
   else
     arc x, y, TSIZE/2,, 87, 180
     arc x + TSIZE, y + TSIZE, TSIZE/2,, -93, 0
   end if
 end if
end sub

Edited 2021-04-03 10:20 by vegipete

TassyJim

Guru

Joined: 07/08/2011
Location: Australia
Posts: 4475
Posted: 02:14am 03 Apr 2021      

Very nice.
To go one step further, I added mouse control

Click anywhere to show the connected paths

 ' Maze formed from Truchet Tiles
 ' This is basically the same algorithm as the famous
 ' Commodore Pet '10Print' one-line maze.
 ' Rev 1.0.0 William M Leue 4/1/2021
 OPTION DEFAULT INTEGER
 OPTION BASE 1
 DIM INTEGER oldX, newX, oldY, newY
 CONST TSIZE = 30
 CORNERS = 0
 mouse_port = MM.INFO(OPTION MOUSE)
 IF mouse_port <> -1 THEN ' we have a mouse
   CONTROLLER MOUSE OPEN mouse_port
   GUI CURSOR ON 0,MOUSE(x,mouse_port), MOUSE(y,mouse_port)
 ENDIF
 DO
   CLS
   ncols = MM.HRES\TSIZE
   nrows = MM.VRES\TSIZE
   FOR row = 1 TO nrows+1
     y = (row-1)*TSIZE
     FOR col = 1 TO ncols+1
       x = (col-1)*TSIZE
       DrawTruchetTile x, y, RND()
     NEXT col
   NEXT row
   BOX 0,0,MM.HRES,MM.VRES
   
     DO : k$ = INKEY$
     GUI CURSOR MOUSE(X, mouse_port), MOUSE(Y, mouse_port)
     IF MOUSE(L,mouse_port) THEN mouseclick
   LOOP UNTIL k$ <> ""
   IF k$ = "1" THEN CORNERS = 1
   IF k$ = "0" THEN CORNERS = 0
 LOOP UNTIL k$ = CHR$(27)
 
 IF mouse_port <> -1 THEN ' we have a mouse
   CONTROLLER MOUSE CLOSE mouse_port
   GUI CURSOR OFF
 ENDIF
END
 
SUB DrawTruchetTile x, y, r AS FLOAT
 IF CORNERS THEN
   IF r < 0.5 THEN
     LINE x + TSIZE/2, y, x + TSIZE, y + TSIZE/2
     LINE x, y + TSIZE/2, x + TSIZE/2, y + TSIZE
   ELSE
     LINE x + TSIZE/2, y, x, y + TSIZE/2
     LINE x + TSIZE, y + TSIZE/2, x + TSIZE/2, y + TSIZE
   END IF
 ELSE
   IF r < 0.5 THEN
     ARC x, y + TSIZE, TSIZE/2,, 0, 93
     ARC x + TSIZE, y, TSIZE/2,, 180, 273
   ELSE
     ARC x, y, TSIZE/2,, 87, 180
     ARC x + TSIZE, y + TSIZE, TSIZE/2,, -93, 0
   END IF
 END IF
END SUB
 
SUB mouseClick
 newX = INT((MOUSE(X, mouse_port)+tsize/2)/tsize)*tsize
 newY = INT((MOUSE(Y, mouse_port)+tsize/2)/tsize)*tsize
 GUI CURSOR HIDE
 IF oldX <>0 THEN
   PIXEL FILL oldX,oldY,RGB(BLUE) ' hide the red dot
   PIXEL FILL oldX,oldY,RGB(BLACK)
 ENDIF
 PIXEL FILL newX,newY,RGB(BLUE)
 CIRCLE newX,newY,TSIZE/4,0,1,,RGB(RED)
 oldX = newX
 oldY = newY
 GUI CURSOR SHOW
END SUB


I have assumed that you have a mouse set with OPTION MOUSE n

Jim

William Leue
Senior Member

Joined: 03/07/2020
Location: United States
Posts: 259
Posted: 08:20pm 05 Apr 2021      

Nice updates!

I also some bling to mine: the screen now scrolls continuously upward as new rows are added at the bottom, and the color of the swirls now varies slowly and continuously around the wheel of fully saturated bright colors.

-Bill


' Maze formed from Truchet Tiles
' This is basically the same algorithm as the famous
' Commodore Pet '10Print' one-line maze.
' Rev 1.0.0 William M Leue 4/1/2021
option base 1

const TSIZE = 30

mode 1,16
open "debug.txt" for output as #1
cls
ncols = MM.HRES\TSIZE
nrows = MM.VRES\TSIZE
dim float h = 0.0
dim float s = 1.0
dim float v = 1.0
for row = 1 to nrows-1
 y = (row-1)*TSIZE
 for col = 1 to ncols
   x = (col-1)*TSIZE
   HSV2RGB(h, s, v, r, g, b)
   c = RGB(r, g, b)
   DrawTruchetTile x, y, rnd(), c
 next col
next row
do
 page scroll 0, 0, TSIZE, -1
 y = (nrows-2)*TSIZE
 for col = 1 to ncols
   x = (col-1)*TSIZE
   HSV2RGB(h, s, v, r, g, b)
   c = RGB(r, g, b)
   DrawTruchetTile x, y, rnd(), c
 next col
 pause 200
 h = h + 0.5
 if h > 360.0 then h = 0.0
print #1, "HSV2RGB(" + str$(h) + "," + str$(s) + "," + str$(v) + "," + str$(r) + "," + str$(g) + "," +  str$(b)
loop
end

sub DrawTruchetTile x, y, r as float, c
 local cx, cy
 if r < 0.5 then
   cx = x : cy = y + TSIZE
   arc cx, cy, TSIZE\2,, 0, 90, c
   cx = x + TSIZE : cy = y
   arc cx, cy, TSIZE\2,, 180, 270, c
 else
   cx = x: cy = y
   arc cx, cy, TSIZE\2,, 90, 180, c
   cx = x + TSIZE: cy = y + TSIZE
   arc cx, cy, TSIZE\2,, -90, 0, c
 end if
end sub

' ColorConvert.inc -- BASIC include file suitable for inclusion
' wherever color specs using RGB or HSV need to be inter-converted.
' William M Leue 1/7/2021

' Convert an RGB Color to HSV values.
' the RGB values must be in range 0..255; the S and V values will
' be in range 0..1; the H value will be in range 0..360
sub RGB2HSV r, g, b, h as float, s as float, v as float
 local float rp, cmax, cmin, delta

 rp = r/255.0 : gp = g/255.0 : bp = b/255.0
 cmax = max(rp, max(gp, bp))
 cmin = min(rp, min(gp, bp))
 delta = cmax - cmin
 if delta = 0 then
   h = 0
 else if cmax = rp then
   h = 60*(((gp-bp)/delta) MOD 6)
 else if cmax = gp then
   h = 60*(((bp-rp)/delta) + 2)
 else
   h = 60*(((rp-gp)/delta) + 4)
 end if
 if cmax = 0 then
   s = 0
 else
   s = delta/cmax
 end if
 v = cmax
end sub

' Convert an HSV value to its RGB equivalent
' The S and V values must be in range 0..1; the H value must
' be in range 0..360. The RGB values will be in range 0..255.
sub HSV2RGB h as float, s as float, v as float, r, g, b
 local float hh, f, p, q, t, x, c, i
 'local i
 c = v*s
 hh = h/60.0
 i = int(hh)
 f = hh - i
 p = v*(1-s)
 q = v*(1-s*f)
 t = v*(1-s*(1-f))
 x = c*(1.0 - hi MOD 2 - 1)
 
 select case i
   case 0
     rp = v : gp = t : bp = p
   case 1
     rp = q : gp = v : bp = p
   case 2
     rp = p : gp = v : bp = t
   case 3
     rp = p : gp = q : bp = v
   case 4
     rp = t : gp = p : bp = v
   case 5
     rp = v : gp = p : bp = q
 end select
 r = rp*255 : g = gp*255 : b = bp*255
end sub

' function to return an RGB color, given the h, s, and v
' values as input parameters. The S and V values must be
' in the range 0..1; the H value must be in the range
' 0..360. The output value will be a 24-bit RGB color.
function GetRGBColor(h as float, s as float, v as float)
 local r, g, b, c

 HSV2RGB h, s, v, r, g, b
 c = RGB(r ,g, b)
 GetRGBColor = c
end function  

' draw color swatches: the left-hand one is the original
' RGB color specified by the user. The right-hand one is
' that color first converted from RGB to HSV, and then
' back again to RGB. The two swatches will be the
' identical color.
sub ShowColors r,g,b,r2,g2,b2
 local c1, c2
 
 c1 = RGB(r,g,b)
 c2 = RGB(r2,g2,b2)
 box 200,200,100,100,1, RGB(WHITE), c1
 box 400,200,100,100,1, RGB(WHITE), c2
end sub

sub ShowPixelColors r,g,b
 local c1, x, y

 box 200,400,100,100,1, RGB(WHITE), c1
 c1 = RGB(r,g,b)
 for y = 401 to 498
   for x = 201 to 298
     pixel x, y, c1
   next x
 next y
end sub  








William Leue
Senior Member

Joined: 03/07/2020
Location: United States
Posts: 259
Posted: 08:21pm 05 Apr 2021      

Oops, you probably will want to remove the 'print #1' statement so as not to fill up your SD card with debugging crap.

-Bill