Langton's ant: Difference between revisions
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{{task|Cellular automata}} |
{{task|Cellular automata}} |
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[[wp:Langton's ant|Langton's ant]] is a cellular automaton that models an ant sitting on a plane of cells, all of which are white initially, facing in one of four directions. |
[[wp:Langton's ant|Langton's ant]] is a cellular automaton that models an ant sitting on a plane of cells, all of which are white initially, facing in one of four directions. |
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Each cell can either be black or white. |
Each cell can either be black or white. |
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The ant moves according to the color of the cell it is currently sitting in, with the following rules: |
The ant moves according to the color of the cell it is currently sitting in, with the following rules: |
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# If the cell is black, it changes to white and the ant turns left; |
::# If the cell is black, it changes to white and the ant turns left; |
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# If the cell is white, it changes to black and the ant turns right; |
::# If the cell is white, it changes to black and the ant turns right; |
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# The ant then moves forward to the next cell, and repeat from step 1. |
::# The ant then moves forward to the next cell, and repeat from step 1. |
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<br>This rather simple ruleset leads to an initially chaotic movement pattern, and after about 10000 steps, a cycle appears where the ant moves steadily away from the starting location in a diagonal corridor about 10 pixels wide. |
<br>This rather simple ruleset leads to an initially chaotic movement pattern, and after about 10000 steps, a cycle appears where the ant moves steadily away from the starting location in a diagonal corridor about 10 pixels wide. |
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Conceptually the ant can then travel infinitely far away. |
Conceptually the ant can then travel infinitely far away. |
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| ⚫ | |||
;Task: |
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| ⚫ | |||
Follow the movement rules for the ant, terminate when it moves out of the region, and show the cell colors it leaves behind. |
Follow the movement rules for the ant, terminate when it moves out of the region, and show the cell colors it leaves behind. |
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The problem has received some analysis; for more details, please take a look at the Wikipedia article (a link is below).. |
The problem has received some analysis; for more details, please take a look at the Wikipedia article (a link is below).. |
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;See also: |
;See also: |
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* Wikipedia: [https://en.wikipedia.org/wiki/Langton%27s_ant Langton's ant]. |
* Wikipedia: [https://en.wikipedia.org/wiki/Langton%27s_ant Langton's ant]. |
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;Related task: |
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* Rosetta Code: [[Conway's Game of Life]]. |
* Rosetta Code: [[Conway's Game of Life]]. |
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<br><br> |
<br><br> |
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Revision as of 22:25, 13 July 2016
You are encouraged to solve this task according to the task description, using any language you may know.
Langton's ant is a cellular automaton that models an ant sitting on a plane of cells, all of which are white initially, facing in one of four directions. Each cell can either be black or white. The ant moves according to the color of the cell it is currently sitting in, with the following rules:
- If the cell is black, it changes to white and the ant turns left;
- If the cell is white, it changes to black and the ant turns right;
- The ant then moves forward to the next cell, and repeat from step 1.
This rather simple ruleset leads to an initially chaotic movement pattern, and after about 10000 steps, a cycle appears where the ant moves steadily away from the starting location in a diagonal corridor about 10 pixels wide.
Conceptually the ant can then travel infinitely far away.
- Task
Start the ant near the center of a 100 by 100 field of cells, which is about big enough to contain the initial chaotic part of the movement.
Follow the movement rules for the ant, terminate when it moves out of the region, and show the cell colors it leaves behind.
The problem has received some analysis; for more details, please take a look at the Wikipedia article (a link is below)..
- See also
- Wikipedia: Langton's ant.
- Related task
- Rosetta Code: Conway's Game of Life.
Ada
<lang Ada>with Ada.Text_IO;
procedure Langtons_Ant is
Size: constant Positive := 100; -- change this to extend the playground
subtype Step is Integer range -1 .. +1;
procedure Right(N, W: in out Step) is
Tmp: Step := W;
begin
W := - N;
N := Tmp;
end Right;
procedure Left(N, W: in out Step) is
begin
for I in 1 .. 3 loop
Right(N, W);
end loop;
end Left;
Color_Character: array(Boolean) of Character :=
(False => ' ', True => '#');
Is_Black: array (1 .. Size, 1 .. Size) of Boolean :=
(others => (others => False)); -- initially, the world is white;
Ant_X, Ant_Y: Natural := Size/2; -- Position of Ant; Ant_North: Step := 1; Ant_West: Step := 0; -- initially, Ant looks northward
Iteration: Positive := 1;
begin
loop -- iterate the loop until an exception is raised
if Is_Black(Ant_X, Ant_Y) then
Left(Ant_North, Ant_West);
else
Right(Ant_North, Ant_West);
end if;
Is_Black(Ant_X, Ant_Y) := not Is_Black(Ant_X, Ant_Y);
Ant_X := Ant_X - Ant_North; -- this may raise an exception
Ant_Y := Ant_Y - Ant_West; -- this may raise an exception
Iteration := Iteration + 1;
end loop;
exception
when Constraint_Error => -- Ant has left its playground ... now output
for X in 1 .. Size loop
for Y in 1 .. Size loop
Ada.Text_IO.Put(Color_Character(Is_Black(X, Y)));
end loop;
Ada.Text_IO.New_Line;
end loop;
Ada.Text_IO.Put_Line("# Iteration:" & Integer'Image(Iteration));
end Langtons_Ant; </lang> Ouptut (to save space, I have removed the all-blank lines):
## ############ ##
# #### # ##
### ## ## #
# # # # # #
## ## # # ### #
### # # # # ## ## ###
# # ### ## #### ## # # # ## ##
# ### ## # ## ### # # ### ###
# # ##### # # #### # ### # # #
### ## # #### ## ## ###### # ### # #
# ### # ## # # ## ## ## # ##### ### ##
# # # ## ### # # # #### # ##
# # ## ## # ## ## # ##
### # # ## ### # ## # ### ## ## #
# ### ## ## ## ### # # ## #### #
### # # # # # #### ## # ## ### # #
# ### # ## # # ### # ### ## # # ##
### # # ## # ## ## ##### #### #### ## #
# ### # # # # ### # # ## ## # # # # #
### # ## ### ## # ## #### #### # #
# ### # # # ## ########### # #### # # #
### # ## # #### ## ######### # ## # ##
# ### # # ## # ## ## ## ### ### # # ## #### #
### # ## # # ###### ## # ## # # ### ### ## #
# ### # # # ##### # ##### # # ## # ## #
### # ## # # ## ##### ## # # # # ## # # #
# ### # # # # #### # ##### ## ########## ##
### # ## # ## ## # # #### # ## #### ##
# ### # # ##### # ## ## # # # # # # # #
### # ## ## ## # # # ## ## # # ## # ## ##
# ### # # # # # ######## # # ## #### #
### # ## # # # ## ## # # ## #
# ### # # # # # # ## ## ## ####
### # ## ## # ## ## # # ###
# ### # # # ## #### #### ### ####
### # ## ## #### ## # ## # # #
# ### # # ## ## ## ### ## #####
### # ## # ## # ####
# ### # # ## ## ##
### # ## ##
# ### # # # ## #### #
### # ## # # ### ###
# ### # # # ## # # #
### # ## ## ##
## # # ##
## # ##
# # # #
#### ##
# ## #
####
##
# Iteration: 11656
Aime
<lang aime>integer
is_white(list map, integer x, integer y)
{
integer p, w; data b;
b = l_q_data(map, y); w = b_character(b, x >> 3); p = 1 << (7 - (x & 7)); b_replace(b, x >> 3, w ^ p);
return !(w & p);
}
void ant(integer x, integer y, integer d, list map) {
while (-1 < x && x < 100 && -1 < y && y < 100) {
if (is_white(map, x, y)) {
d += 3;
d &= 3;
} else {
d += 1;
d &= 3;
}
if (d & 1) {
y += (d & 2) - 1;
} else {
x += 1 - (d & 2);
}
}
}
integer main(void) {
integer i; file f; list l;
i = 100;
while (i) {
data b;
integer j;
i -= 1;
j = 13;
while (j) {
j -= 1;
b_append(b, 0);
}
l_l_data(l, -1, b); }
ant(50, 50, 2, l);
f_open(f, "ant.pbm", OPEN_CREATE | OPEN_TRUNCATE | OPEN_WRITEONLY, 00644);
f_text(f, "P4\n100 100\n");
i = 100;
while (i) {
f_b_post(f, l_q_data(l, -i));
i -= 1;
}
return 0;
}</lang>
AutoHotkey
ahk forum: discussion
(Fixed by just me)
<lang AutoHotkey>#NoEnv SetBatchLines, -1
- Directions
Directions := {0: "North", 1: "East", 2: "South", 3: "West"}
- Initialize the plane (set all cells to white)
White := 0xFFFFFF Plane := [] PW := PH := 100 loop, % PH {
I := A_Index
loop, % PW
Plane[I, A_Index] := White
}
- Let it run
DI := D := 0 ; initial direction X := Y := 50 ; initial coordinates while (X > 0) && (X <= PW) && (Y > 0) && (Y <= PH) {
D := (D + ((Plane[X, Y] ^= White) ? 1 : 3)) & 3
if (D & 1)
X += -(D = 3) + (D = 1)
else
Y += -(D = 0) + (D = 2)
}
- Show the result
HBM := CreateDIB(Plane, PW, PH, 400, 400, 0) Gui, Margin, 0, 0 Gui, Add, Text, x0 y0 w20 h440 Center 0x200, W Gui, Add, Text, x20 y0 w400 h20 Center 0x200, N Gui, Add, Picture, x20 y20 w400 h400 0x4E hwndHPIC ; SS_REALSIZECONTROL = 0x40 | SS_BITMAP = 0xE DllCall("User32.dll\SendMessage", "Ptr", HPIC, "UInt", 0x172, "Ptr", 0, "Ptr", HBM) ; STM_SETIMAGE = 0x172 Gui, Add, Text, xp+5 yp h20 0x200 BackgroundTrans, % "Initial direction: " . Directions[DI] Gui, Add, Text, x20 y420 w400 h20 Center 0x200, S Gui, Add, Text, x420 y0 w20 h440 Center 0x200, E Gui, Show, , Langton's ant (%PW%x%PH%) Return
GuiClose: ExitApp
CreateDIB(PixelArray, PAW, PAH, BMW := 0, BMH := 0, Gradient := 1) { ; SKAN, 01-Apr-2014 / array version by just me
SLL := (PAW * 3) + (PAW & 1)
VarSetCapacity(BMBITS, SLL * PAH, 0)
P := &BMBITS
loop, % PAH {
R := A_Index
loop, % PAW
P := Numput(PixelArray[R, A_Index], P + 0, "UInt") - 1
P += (PAW & 1)
}
HBM := DllCall("Gdi32.dll\CreateBitmap", "Int", PAW, "Int", PAH, "UInt", 1, "UInt", 24, "Ptr", 0, "UPtr")
HBM := DllCall("User32.dll\CopyImage", "Ptr", HBM, "UInt", 0, "Int", 0, "Int", 0, "UInt", 0x2008, "UPtr")
DllCall( "Gdi32.dll\SetBitmapBits", "Ptr", HBM, "UInt", SLL * PAH, "Ptr", &BMBITS)
if (!Gradient)
HBM := DllCall("User32.dll\CopyImage", "Ptr", HBM, "UInt", 0, "Int", 0, "Int", 0, "Int", 8, "UPtr")
return DllCall("User32.dll\CopyImage", "Ptr", HBM, "UInt", 0, "Int", BMW, "Int", BMH, "UInt", 0x200C, "UPtr")
} ; http://ahkscript.org/boards/viewtopic.php?f=6&t=3203</lang>
AutoIt
<lang AutoIt> Global $iCountMax = 100000 Global $aFields[100][100][2] Global $iDelayStep = 10 ; stop between steps in msec
Global $aDirection[4][4] = [ _ ; [ direction 0-3 ][ left change x, y, right change x, y ] [-1, 0, +1, 0], _ ; == direction 0 [ 0, -1, 0, +1], _ ; == direction 1 [+1, 0, -1, 0], _ ; == direction 2 [ 0, +1, 0, -1]] ; == direction 3
Global $hGui = GUICreate("Langton's ant", 100*8, 100*8) GUISetBkColor(0xFFFFFF)
For $i = 0 To 99 For $j = 0 To 99 $aFields[$i][$j][0] = GUICtrlCreateLabel(, $j*8, $i*8) GUICtrlSetColor(-1, 0xFF0000) $aFields[$i][$j][1] = 0 Next Next
GUISetState()
GUICtrlSetData($aFields[49][49][0], '#')
Do Sleep($iDelayStep) Until Not _SetAnt()
Do Until GUIGetMsg() = -3
Func _SetAnt()
Local Static $iRowLast = 49, $iColLast = 49, $iCount = 0
Local Static $aCol[2] = [0xFFFFFF,0x000000], $iDirection = 0
Local $iRow, $iCol, $fRight = False
If $iCount = $iCountMax Then Return 0
; == get current color Local $iLastColor = $aFields[$iRowLast][$iColLast][1]
; == go to left/right If $iLastColor = 0 Then $fRight = True
; == set the ant to the next field Local $indexX = 0, $indexY = 1 If $fRight Then $indexX = 2 $indexY = 3 EndIf $iRow = $iRowLast + ($aDirection[$iDirection][$indexX]) $iCol = $iColLast + ($aDirection[$iDirection][$indexY]) If $iRow < 0 Or $iRow > 99 Or $iCol < 0 Or $iCol > 99 Then Return 0 GUICtrlSetData($aFields[$iRowLast][$iColLast][0], ) GUICtrlSetData($aFields[$iRow][$iCol][0], '#')
; == direction for next step If $fRight Then $iDirection += 1 If $iDirection = 4 Then $iDirection = 0 Else $iDirection -= 1 If $iDirection = -1 Then $iDirection = 3 EndIf
; == change the color of the current field GUICtrlSetBkColor($aFields[$iRowLast][$iColLast][0], $aCol[(Not $iLastColor)*1]) $aFields[$iRowLast][$iColLast][1] = (Not $iLastColor)*1
$iRowLast = $iRow $iColLast = $iCol $iCount += 1 WinSetTitle($hGui, , "Langton's ant [ step: " & StringFormat('%06d', $iCount) & " ]") Return 1 EndFunc ;==>_SetAnt </lang> To see the GUI output, click here. --BugFix (talk) 14:48, 16 November 2013 (UTC)
AWK
<lang awk>
- usage: awk -v debug=0 -f langton.awk
- Simulates the cellular automaton "Langton's ant",
- see http://en.wikipedia.org/wiki/Langton%27s_ant
function turnRight() { dir++ if( dir>4 ) { dir=1 } } function turnLeft() { dir-- if( dir<1 ) { dir=4 } } function move() { if (dir==1) { y--; z="^" } if (dir==3) { y++; z="v" }
if (dir==2) { x++; z=">" } if (dir==4) { x--; z="<" } }
function ant() { if( debug ) AntStat() ##
if( grid[x,y]==0 ) { turnLeft() } else { turnRight() } if( grid[x,y]==0 ) { color=1 } else { color=0 }
if( debug ) print( "# action", color, dir, z ) ##
grid[x,y] = color move() }
function AntStat() { printf( "Move# %d : Ant @ x=%d y=%d dir=%d %s color=%d\n", moveNr, x,y, dir,z, grid[x,y] ) } function dumpGrid() { AntStat()
printf( "Grid:" ) for(xx=1; xx<=limit/10; xx++) { printf( "....+....%s", xx ) } printf "\n"
cSum=0 for(yy=1; yy <= limit; yy++) { printf( "%4d:",yy ) for(xx=1; xx <= limit; xx++) { c = grid[xx,yy] if( c ) cSum++ c1++ c2+=grid[xx,yy] if( (xx==x)&&(yy==y) ) { c=z } # Ant printf( c ) } printf( "\n" ) } printf( "Cells: %d 'black' cells: %d Moves: %d\n\n", limit*limit, cSum, moveNr ) }
BEGIN { print( "Langton's ant\n" )
limit = 72 for(x=1; x <= limit; x++) { for(y=1; y <= limit; y++) { grid[x,y] = 0 } }
moveNr = 0 x = 36 y = 28 dir = 1 # 1=up/north 2=right/east 3=down/south 4=left/west z = "!"
while( moveNr < 11200 ) { moveNr++
ant()
if(x<0 || x>limit) break if(y<0 || y>limit) break
# Snapshots: if (moveNr==163 || moveNr==1297 || moveNr==10095 ) dumpGrid() if (y<=5 ) break } dumpGrid() } END { print("END.") } </lang>
BBC BASIC
<lang BBC BASIC>
REM Implementation of Langton's ant for Rosetta Code
fieldsize%=100
REM Being pedantic, this will actually result in a field of 101 square,
REM since arrays start at 0, and my implementation allows them to use it
DIM field&(fieldsize%,fieldsize%) : REM variables with an & suffix are byte variables
x%=fieldsize%/2
y%=fieldsize%/2
d%=0
REPEAT
IF field&(x%,y%)=0 THEN field&(x%,y%)=1:d%-=1 ELSE field&(x%,y%)=0:d%+=1
GCOL 15*field&(x%,y%)
PLOT 69,x%*2,y%*2 :REM for historical reasons there are two "plot points" per pixel
d%=(d%+4) MOD 4 :REM ensure direction is always between 0 and 3
CASE d% OF
WHEN 0:y%+=1
WHEN 1:x%+=1
WHEN 2:y%-=1
WHEN 3:x%-=1
ENDCASE
UNTIL x%>fieldsize% OR x%<0 OR y%>fieldsize% OR y%<0
END
</lang>
bc
The output function o prints the resulting image (as a PBM image) to stdout. One can either store it into a file or pipe it through an image viewer (e.g. bc langton.bc | display).
<lang bc>define o() {
auto i, j
"P1 "
w
h
for (j = 0; j < h; j++) {
for (i = 0; i < w; i++) {
a[j * w + i]
}
}
}
define l(w, h, x, y) {
auto a[], d, i, x[], y[]
/* d represents one of the four possible directions:
* 0
* ⇑
* 3⇐ ⇒1
* ⇓
* 2
* The arrays x[] and y[] contain the changes to the x and y direction for
* each value of d.
*/
x[1] = 1
x[3] = -1
y[0] = -1
y[2] = 1
while (1) {
i = y * w + x
if (a[i] == 0) d += 1 /* turn right if white */
if (a[i] == 1) d -= 1 /* turn left if black */
if (d < 0) d = 3
if (d > 3) d = 0
x += x[d]
y += y[d]
a[i] = 1 - a[i] /* toggle cell colour */
if (x < 0) break
if (x == w) break
if (y < 0) break
if (y == h) break
}
o()
}
l(100, 100, 50, 50) quit</lang>
C
Requires ANSI terminal. <lang c>#include <stdio.h>
- include <stdlib.h>
- include <string.h>
- include <unistd.h>
int w = 0, h = 0; unsigned char *pix;
void refresh(int x, int y) { int i, j, k; printf("\033[H"); for (i = k = 0; i < h; putchar('\n'), i++) for (j = 0; j < w; j++, k++) putchar(pix[k] ? '#' : ' '); }
void walk() { int dx = 0, dy = 1, i, k; int x = w / 2, y = h / 2;
pix = calloc(1, w * h); printf("\033[H\033[J");
while (1) { i = (y * w + x); if (pix[i]) k = dx, dx = -dy, dy = k; else k = dy, dy = -dx, dx = k;
pix[i] = !pix[i]; printf("\033[%d;%dH%c", y + 1, x + 1, pix[i] ? '#' : ' ');
x += dx, y += dy;
k = 0; if (x < 0) { memmove(pix + 1, pix, w * h - 1); for (i = 0; i < w * h; i += w) pix[i] = 0; x++, k = 1; } else if (x >= w) { memmove(pix, pix + 1, w * h - 1); for (i = w-1; i < w * h; i += w) pix[i] = 0; x--, k = 1; }
if (y >= h) { memmove(pix, pix + w, w * (h - 1)); memset(pix + w * (h - 1), 0, w); y--, k = 1; } else if (y < 0) { memmove(pix + w, pix, w * (h - 1)); memset(pix, 0, w); y++, k = 1; } if (k) refresh(x, y); printf("\033[%d;%dH\033[31m@\033[m", y + 1, x + 1);
fflush(stdout); usleep(10000); } }
int main(int c, char **v) { if (c > 1) w = atoi(v[1]); if (c > 2) h = atoi(v[2]); if (w < 40) w = 40; if (h < 25) h = 25;
walk(); return 0; }</lang>
C++
If you want to see it running infinitely, set the const bool INFINIT_RUN = true <lang cpp>
- include <windows.h>
- include <string>
//-------------------------------------------------------------------------------------------------- using namespace std;
//-------------------------------------------------------------------------------------------------- const int BMP_SIZE = 600, CELL_SIZE = 4, GRID_SIZE = BMP_SIZE / CELL_SIZE; const bool INFINIT_RUN = false;
enum cellState { WHITE, BLACK, ANT }; enum facing { NOR, EAS, SOU, WES }; enum state { RUNNING, RESTING };
//-------------------------------------------------------------------------------------------------- class myBitmap { public:
myBitmap() : pen( NULL ) {}
~myBitmap()
{
DeleteObject( pen ); DeleteDC( hdc ); DeleteObject( bmp );
}
bool create( int w, int h )
{
BITMAPINFO bi; ZeroMemory( &bi, sizeof( bi ) );
bi.bmiHeader.biSize = sizeof( bi.bmiHeader ); bi.bmiHeader.biBitCount = sizeof( DWORD ) * 8; bi.bmiHeader.biCompression = BI_RGB; bi.bmiHeader.biPlanes = 1; bi.bmiHeader.biWidth = w; bi.bmiHeader.biHeight = -h;
HDC dc = GetDC( GetConsoleWindow() ); bmp = CreateDIBSection( dc, &bi, DIB_RGB_COLORS, &pBits, NULL, 0 ); if( !bmp ) return false;
hdc = CreateCompatibleDC( dc ); SelectObject( hdc, bmp ); ReleaseDC( GetConsoleWindow(), dc );
width = w; height = h;
return true;
}
void clear()
{
ZeroMemory( pBits, width * height * sizeof( DWORD ) );
}
void setPenColor( DWORD clr )
{
if( pen ) DeleteObject( pen ); pen = CreatePen( PS_SOLID, 1, clr ); SelectObject( hdc, pen );
}
void saveBitmap( string path )
{
BITMAPFILEHEADER fileheader; BITMAPINFO infoheader; BITMAP bitmap; DWORD wb;
GetObject( bmp, sizeof( bitmap ), &bitmap );
DWORD* dwpBits = new DWORD[bitmap.bmWidth * bitmap.bmHeight]; ZeroMemory( dwpBits, bitmap.bmWidth * bitmap.bmHeight * sizeof( DWORD ) ); ZeroMemory( &infoheader, sizeof( BITMAPINFO ) ); ZeroMemory( &fileheader, sizeof( BITMAPFILEHEADER ) );
infoheader.bmiHeader.biBitCount = sizeof( DWORD ) * 8; infoheader.bmiHeader.biCompression = BI_RGB; infoheader.bmiHeader.biPlanes = 1; infoheader.bmiHeader.biSize = sizeof( infoheader.bmiHeader ); infoheader.bmiHeader.biHeight = bitmap.bmHeight; infoheader.bmiHeader.biWidth = bitmap.bmWidth; infoheader.bmiHeader.biSizeImage = bitmap.bmWidth * bitmap.bmHeight * sizeof( DWORD );
fileheader.bfType = 0x4D42; fileheader.bfOffBits = sizeof( infoheader.bmiHeader ) + sizeof( BITMAPFILEHEADER ); fileheader.bfSize = fileheader.bfOffBits + infoheader.bmiHeader.biSizeImage;
GetDIBits( hdc, bmp, 0, height, ( LPVOID )dwpBits, &infoheader, DIB_RGB_COLORS );
HANDLE file = CreateFile( path.c_str(), GENERIC_WRITE, 0, NULL, CREATE_ALWAYS, FILE_ATTRIBUTE_NORMAL, NULL ); WriteFile( file, &fileheader, sizeof( BITMAPFILEHEADER ), &wb, NULL ); WriteFile( file, &infoheader.bmiHeader, sizeof( infoheader.bmiHeader ), &wb, NULL ); WriteFile( file, dwpBits, bitmap.bmWidth * bitmap.bmHeight * 4, &wb, NULL ); CloseHandle( file );
delete [] dwpBits;
}
HDC getDC() const { return hdc; }
int getWidth() const { return width; }
int getHeight() const { return height; }
private:
HBITMAP bmp; HDC hdc; HPEN pen; void *pBits; int width, height;
}; //-------------------------------------------------------------------------------------------------- class Ant { public:
Ant()
{
_bmp.create( BMP_SIZE, BMP_SIZE ); ZeroMemory( _grid, sizeof( _grid ) ); RED_BRUSH = CreateSolidBrush( 255 ); _antState = RUNNING;
}
~Ant()
{
DeleteObject( RED_BRUSH );
}
void setPosition( int x, int y )
{
_sx = x; _sy = y; _facing = WES;
}
void mainLoop()
{
switch( _antState ) { case RUNNING: simulate(); // fall thru case RESTING: display(); }
}
void setHWND( HWND hwnd ) { _hwnd = hwnd; }
private:
void simulate()
{
switch( _grid[_sx][_sy] ) { case BLACK: _grid[_sx][_sy] = WHITE; if( --_facing < NOR ) _facing = WES; break; case WHITE: _grid[_sx][_sy] = BLACK; if( ++_facing > WES ) _facing = NOR; } switch( _facing ) { case NOR: if( --_sy < 0 ) { if( INFINIT_RUN ) _sy = GRID_SIZE - 1; else _antState = RESTING; } break; case EAS: if( ++_sx >= GRID_SIZE ) { if( INFINIT_RUN ) _sx = 0; else _antState = RESTING; } break; case SOU: if( ++_sy >= GRID_SIZE ) { if( INFINIT_RUN ) _sy = 0; else _antState = RESTING; } break; case WES: if( --_sx < 0 ) { if( INFINIT_RUN ) _sx = GRID_SIZE - 1; else _antState = RESTING; } }
}
void display()
{
_bmp.clear();
HBRUSH br; RECT rc;
int xx, yy; HDC dc = _bmp.getDC();
for( int y = 0; y < GRID_SIZE; y++ )
for( int x = 0; x < GRID_SIZE; x++ ) { switch( _grid[x][y] ) { case BLACK: br = static_cast<HBRUSH>( GetStockObject( BLACK_BRUSH ) ); break; case WHITE: br = static_cast<HBRUSH>( GetStockObject( WHITE_BRUSH ) ); } if( x == _sx && y == _sy ) br = RED_BRUSH;
xx = x * CELL_SIZE; yy = y * CELL_SIZE; SetRect( &rc, xx, yy, xx + CELL_SIZE, yy + CELL_SIZE ); FillRect( dc, &rc, br ); }
HDC wdc = GetDC( _hwnd );
BitBlt( wdc, 0, 0, BMP_SIZE, BMP_SIZE, dc, 0, 0, SRCCOPY );
ReleaseDC( _hwnd, wdc );
}
myBitmap _bmp; HWND _hwnd; HBRUSH RED_BRUSH; BYTE _grid[GRID_SIZE][GRID_SIZE]; int _sx, _sy, _facing; state _antState;
}; //-------------------------------------------------------------------------------------------------- class wnd { public:
int wnd::Run( HINSTANCE hInst )
{
_hInst = hInst; _hwnd = InitAll();
_ant.setHWND( _hwnd ); _ant.setPosition( GRID_SIZE / 2, GRID_SIZE / 2 );
ShowWindow( _hwnd, SW_SHOW ); UpdateWindow( _hwnd );
MSG msg; ZeroMemory( &msg, sizeof( msg ) ); while( msg.message != WM_QUIT ) { if( PeekMessage( &msg, NULL, 0, 0, PM_REMOVE ) != 0 ) { TranslateMessage( &msg ); DispatchMessage( &msg ); } else { _ant.mainLoop(); } } return UnregisterClass( "_LANGTONS_ANT_", _hInst );
}
private:
static int WINAPI wnd::WndProc( HWND hWnd, UINT msg, WPARAM wParam, LPARAM lParam )
{
switch( msg ) { case WM_DESTROY: PostQuitMessage( 0 ); break; default: return DefWindowProc( hWnd, msg, wParam, lParam ); } return 0;
}
HWND InitAll()
{
WNDCLASSEX wcex; ZeroMemory( &wcex, sizeof( wcex ) ); wcex.cbSize = sizeof( WNDCLASSEX ); wcex.style = CS_HREDRAW | CS_VREDRAW; wcex.lpfnWndProc = ( WNDPROC )WndProc; wcex.hInstance = _hInst; wcex.hCursor = LoadCursor( NULL, IDC_ARROW ); wcex.hbrBackground = ( HBRUSH )( COLOR_WINDOW + 1 ); wcex.lpszClassName = "_LANGTONS_ANT_";
RegisterClassEx( &wcex );
return CreateWindow( "_LANGTONS_ANT_", ".: Langton's Ant -- PJorente :.", WS_SYSMENU, CW_USEDEFAULT, 0, BMP_SIZE, BMP_SIZE, NULL, NULL, _hInst, NULL );
}
HINSTANCE _hInst; HWND _hwnd; Ant _ant;
}; //-------------------------------------------------------------------------------------------------- int APIENTRY _tWinMain( HINSTANCE hInstance, HINSTANCE hPrevInstance, LPTSTR lpCmdLine, int nCmdShow ) {
wnd myWnd; return myWnd.Run( hInstance );
} //-------------------------------------------------------------------------------------------------- </lang>
C#
<lang csharp>using System;
namespace LangtonAnt {
public struct Point
{
public int X;
public int Y;
public Point(int x, int y)
{
X = x;
Y = y;
}
}
enum Direction
{
North, East, West, South
}
public class Langton
{
public readonly bool [,] IsBlack;
private Point _origin;
private Point _antPosition = new Point(0, 0);
public bool OutOfBounds { get; set;}
// I don't see any mention of what direction the ant is supposed to start out in
private Direction _antDirection = Direction.East;
private readonly Direction[] _leftTurn = new[] { Direction.West, Direction.North, Direction.South, Direction.East };
private readonly Direction[] _rightTurn = new[] { Direction.East, Direction.South, Direction.North, Direction.West };
private readonly int[] _xInc = new[] { 0, 1,-1, 0};
private readonly int[] _yInc = new[] {-1, 0, 0, 1};
public Langton(int width, int height, Point origin)
{
_origin = origin;
IsBlack = new bool[width, height];
OutOfBounds = false;
}
public Langton(int width, int height) : this(width, height, new Point(width / 2, height / 2)) {}
private void MoveAnt()
{
_antPosition.X += _xInc[(int)_antDirection];
_antPosition.Y += _yInc[(int)_antDirection];
}
public Point Step()
{
if (OutOfBounds)
{
throw new InvalidOperationException("Trying to step after ant is out of bounds");
}
Point ptCur = new Point(_antPosition.X + _origin.X, _antPosition.Y + _origin.Y);
bool leftTurn = IsBlack[ptCur.X, ptCur.Y];
int iDirection = (int) _antDirection;
_antDirection = leftTurn ? _leftTurn[iDirection] : _rightTurn[iDirection];
IsBlack[ptCur.X, ptCur.Y] = !IsBlack[ptCur.X, ptCur.Y];
MoveAnt();
ptCur = new Point(_antPosition.X + _origin.X, _antPosition.Y + _origin.Y);
OutOfBounds =
ptCur.X < 0 ||
ptCur.X >= IsBlack.GetUpperBound(0) ||
ptCur.Y < 0 ||
ptCur.Y >= IsBlack.GetUpperBound(1);
return _antPosition;
}
}
class Program
{
static void Main()
{
Langton ant = new Langton(100, 100);
while (!ant.OutOfBounds) ant.Step();
for (int iRow = 0; iRow < 100; iRow++)
{
for (int iCol = 0; iCol < 100; iCol++)
{
Console.Write(ant.IsBlack[iCol, iRow] ? "#" : " ");
}
Console.WriteLine();
}
Console.ReadKey();
}
}
} </lang> Output:
<Blank lines eliminated for efficiency> # #
## # #
# ### ##
#### ### #
##### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## # ##
### # ## ##
# ## ## ## #
#### ### # # ###
# # # ## #### #
### # # # # ## #
### # ## # ## # ##
# # ## # # ##
# # # ##### # #
# ##### ## ######
### ## # ## # # # ## # ##
## # ####### # # ### ## #
# # ###### ## # # ## # #
# # # ## # ###### ####### #
# #### ## # #### ## ## # ## #
# #### # # ###### ## ###
# # ## # ### # ## ## ###
####### # ## ## # #
#### ## ## #### ## ## ## # #
# # # ### ## ### # #### #
### ### # # ##### # # #
# # ### #### ## # ## ### ## #
## ## #### #### # # # #
# # ## ### ### ### #
## ## ### #### # ### ## #
## # #### # # # ## ### ## #
#### ## ## #### # # # # ### #
# ## ### # # ## # # # # # #
# # # ## ## # # ### ##
## # # ##### # # # # #
# ## # # ## ## # ### ###
# # # # # # ### ## ## #
### # ##### ###### ### ####### # ##
# # # ##### ## ##### #####
# ## # # # ## ### ###
#### ##### ######### # #
## # # ### # # # ### ###
# # #### ## ### ## ### ## ##
### # ## # ##### # # # ## ###
# ##### # # ## ## # # # #
###### #### ## # # ## # # ##
## # ### ## #### # ###
# # ##### # # ## # # #
## ### ####### # # ##
# # ## ## # ## #
# # #### ### ## #
# ## ### ## ##
##
##
Chapel
<lang chapel> config const gridHeight: int = 100; config const gridWidth: int = 100;
class PBMWriter {
var imgDomain: domain(2);
var imgData: [imgDomain] int;
proc PBMWriter( height: int, width: int ){
imgDomain = { 1..#height, 1..#width };
}
proc this( i : int, j : int) ref : int{
return this.imgData[ i, j ];
}
proc writeImage( fileName: string ){
var file = open(fileName, iomode.cw);
var writingChannel = file.writer();
writingChannel.write("P1\n", imgDomain.dim(1).size, " " ,imgDomain.dim(2).size,"\n");
for px in imgData {
writingChannel.write( px, " " );
}
writingChannel.write( "\n" );
writingChannel.flush();
writingChannel.close();
}
}
enum Color { white, black };
inline proc nextDirection( position: 2*int, turnLeft: bool ): 2*int {
return ( (if turnLeft then 1 else -1 ) * position[2], (if turnLeft then -1 else 1 ) * position[1] );
}
proc <( left: 2*int, right: 2*int ){
return left[1] < right[1] && left[2] < right[2];
}
proc <=( left: 2*int, right: 2*int ){
return left[1] <= right[1] && left[2] <= right[2];
}
proc main{
const gridDomain: domain(2) = {1..#gridHeight, 1..#gridWidth};
var grid: [gridDomain] Color;
var antPos = ( gridHeight / 2, gridWidth / 2 );
var antDir = (1,0); // start up;
while (0,0) < antPos && antPos <= (gridHeight, gridWidth ) {
var currColor = grid[ antPos ];
grid[antPos] = if currColor == Color.white then Color.black else Color.white ;
antDir = nextDirection( antDir, currColor == Color.black );
antPos = antPos + antDir;
}
var image = new PBMWriter( height = gridHeight, width = gridWidth );
for (i, j) in gridDomain {
image[i,j] = if grid[gridHeight-j+1,gridHeight-i+1] == Color.black then 0 else 1;
}
image.writeImage( "output.png" );
} </lang>
Clojure
In keeping with the spirit of Clojure, this program eschews mutable state entirely. Instead, all computation occurs within a single recursive loop whose "variables" are "adjusted" at each iteration, a natural fit for this particular execution model. <lang Clojure>(let [bounds (set (range 100))
xs [1 0 -1 0] ys [0 -1 0 1]]
(loop [dir 0 x 50 y 50
grid {[x y] false}]
(if (and (bounds x) (bounds y))
(let [cur (not (grid [x y]))
dir (mod (+ dir (if cur -1 1)) 4)]
(recur dir (+ x (xs dir)) (+ y (ys dir))
(merge grid {[x y] cur})))
(doseq [col (range 100)]
(println
(apply str
(map #(if (grid [% col]) \# \.)
(range 100))))))))</lang>
COBOL
The following program displays the simulation in the console, and a very small font size (~4pt) will be needed to fit it into the window.
<lang cobol> IDENTIFICATION DIVISION.
PROGRAM-ID. langtons-ant.
DATA DIVISION.
WORKING-STORAGE SECTION.
78 Grid-Size VALUE 100.
01 grid-area.
03 grid-x OCCURS Grid-Size TIMES.
05 grid-y OCCURS Grid-Size TIMES.
07 cell-colour PIC X VALUE "W".
88 black VALUE "B".
88 white VALUE "W".
01 ant-x PIC 999.
01 ant-y PIC 999.
01 ant-direction PIC 9.
88 upward VALUE 0.
88 rightward VALUE 1.
88 downward VALUE 2.
88 leftward VALUE 3.
78 Pause-Time-Ns VALUE 10000000.
01 display-y PIC 999.
78 Black-Background VALUE 0.
78 White-Background VALUE 7.
01 i PIC 999.
01 j PIC 999.
01 pause PIC X.
PROCEDURE DIVISION.
main-line.
DIVIDE Grid-Size BY 2 GIVING ant-x, ant-y
PERFORM display-initial-grid
PERFORM UNTIL (ant-x = Grid-Size OR 0)
OR (ant-y = Grid-Size OR 0)
PERFORM step-simulation
CALL "CBL_OC_NANOSLEEP" USING Pause-Time-Ns
END-PERFORM
DISPLAY "Press enter to quit." AT LINE 1 COLUMN 1
ACCEPT pause
GOBACK
.
step-simulation.
IF black (ant-x, ant-y)
SET white (ant-x, ant-y) TO TRUE
PERFORM display-ant-cell
COMPUTE ant-direction =
FUNCTION MOD(ant-direction + 1, 4)
ELSE
SET black (ant-x, ant-y) TO TRUE
PERFORM display-ant-cell
COMPUTE ant-direction =
FUNCTION MOD(ant-direction - 1, 4)
END-IF
EVALUATE TRUE
WHEN upward
ADD 1 TO ant-y
WHEN rightward
ADD 1 TO ant-x
WHEN downward
SUBTRACT 1 FROM ant-y
WHEN leftward
SUBTRACT 1 FROM ant-x
END-EVALUATE
.
display-ant-cell.
SUBTRACT ant-y FROM Grid-Size GIVING display-y
IF black (ant-x, ant-y)
DISPLAY SPACE AT LINE display-y COLUMN ant-x
WITH BACKGROUND-COLOR Black-Background
ELSE
DISPLAY SPACE AT LINE display-y COLUMN ant-x
WITH BACKGROUND-COLOR White-Background
END-IF
.
display-initial-grid.
PERFORM VARYING i FROM 1 BY 1 UNTIL i > Grid-Size
AFTER j FROM 1 BY 1 UNTIL j > Grid-Size
DISPLAY SPACE AT LINE i COLUMN j
WITH BACKGROUND-COLOR White-Background
END-PERFORM
.</lang>
CoffeeScript
<lang coffeescript> class Ant
constructor: (@world) ->
@location = [0, 0]
@direction = 'E'
move: =>
[x, y] = @location
if @world.is_set x, y
@world.unset x, y
@direction = Directions.left @direction
else
@world.set x, y
@direction = Directions.right @direction
@location = Directions.forward(x, y, @direction)
- Model a theoretically infinite 2D world with a hash, allowing squares
- to be black or white (independent of any ants.)
class BlackWhiteWorld
constructor: ->
@bits = {}
set: (x, y) ->
@bits["#{x},#{y}"] = true
unset: (x, y) ->
delete @bits["#{x},#{y}"]
is_set: (x, y) ->
@bits["#{x},#{y}"]
draw: ->
# Most of this code just involves finding the extent of the world.
# Always include the origin, even if it's not set.
@min_x = @max_x = @min_y = @max_y = 0
for key of @bits
[xx, yy] = (coord for coord in key.split ',')
x = parseInt xx
y = parseInt yy
@min_x = x if x < @min_x
@max_x = x if x > @max_x
@min_y = y if y < @min_y
@max_y = y if y > @max_y
console.log "top left: #{@min_x}, #{@max_y}, bottom right: #{@max_x}, #{@min_y}"
for y in [@max_y..@min_y] by -1
s =
for x in [@min_x..@max_x]
if @bits["#{x},#{y}"]
s += '#'
else
s += '_'
console.log s
- Simple code for directions, independent of ants.
Directions =
left: (dir) -> return 'W' if dir == 'N' return 'S' if dir == 'W' return 'E' if dir == 'S' 'N' right: (dir) -> return 'E' if dir == 'N' return 'S' if dir == 'E' return 'W' if dir == 'S' 'N' forward: (x, y, dir) -> return [x, y+1] if dir == 'N' return [x, y-1] if dir == 'S' return [x+1, y] if dir == 'E' return [x-1, y] if dir == 'W'
world = new BlackWhiteWorld()
ant = new Ant(world)
for i in [1..11500]
ant.move()
console.log "Ant is at #{ant.location}, direction #{ant.direction}" world.draw() </lang>
output
<lang> > coffee langstons_ant.coffee Ant is at -24,46, direction W top left: -25, 47, bottom right: 22, -29 _##__##_________________________________________
- _#####________________________________________
- ____##_#_______________________________________
____#_#_##______________________________________ _####_###_#_____________________________________ _#####_#__##____________________________________ __#___##_##_#___________________________________ ___###___#__##__________________________________ ____#___##_##_#_________________________________ _____###___#__##________________________________ ______#___##_##_#_______________________________ _______###___#__##______________________________ ________#___##_##_#_____________________________ _________###___#__##____________________________ __________#___##_##_#___________________________ ___________###___#__##__________________________ ____________#___##_##_#_________________________ _____________###___#__##________________________ ______________#___##_##_#_______________________ _______________###___#__##______________________ ________________#___##_##_#_____________________ _________________###___#__##____________________ __________________#___##_##_#___________________ ___________________###___#__##__________________ ____________________#___##_##_#_________________ _____________________###___#__##________________ ______________________#___##_##_#_______________ _______________________###___#__##______________ ________________________#___##_##_#__##_________ _________________________###___#__##__##________ __________________________#___##_##__##___#_____ ____________________####___###___#___#__###_____ ___________________#____#___#___##_####___#_____ __________________###____#___#_#______#_##_#____ __________________###____#_##_____#_##__#_##____ ___________________#____#___##_#_#_____##_______ ___________________#_#______#_#####__#___#______ __________________#___#####__________##_######__ __________________###__##__#_##_#_#_#___##_#_##_ ________________##__#_#######_#___#__###____##_# _______________#__#__######_##___#__#_##___#___# ______________#____#_#_##_#__######_#######___#_ ______________#_####_##_#_####____##__##_#_##_#_ _______________#____####___#__#_######_##____### __________________#___#_##_#_###_#__##__##___### _____________________#######____#__##_##_#_____# _____________####__##_##__####_##_##_##__#_____# ____________#____#_#___###_##_###____#_####____# ___________###_______###_#_#_#####____#_#______# ___________#_#___###_####_##_#___##_###_##_____# _________________##_##__####____####_#_#_#_____# ____________#____#__##___###__###_____###______# ____________##___##_###_####__#______###___##__# ____________##_#_####_____#___#__#_##_###_##___# ___________####_##___##_####__#_#__#__#__###___# ___________#_##_###__#_#_##_#_#_____#_#_____#_#_ _______________#_#__#____##_##__#_#__###_##_____ _______________##_#____#__#####_#____#____#__#_# ______________#_##_#__#____##_##_#__###______### ____________#_#___#__#__#__#__###___##__##____#_ ___________###_#_#####_######_###_#######_#_##__ ___________#_#_#____#####___##__#####_#####_____ _____________#__##___#______#__#_##__###_###____ __________####___#####_#########___#_#__________ _____##____#__#_____###_#_#___#_###__###________ ____#__#__####_##___###_##___###_##_____##______ ___###____#_##_#_#####___#____#__#__##_###______ ___#_#####_#_#___##__##_____#____#___#__#_______ _______######_####__##_#___#__##__#_#_##________ _____##______#_###_##__####___#___###___________ ______#__#_#####__#___#_##___#__#__#____________ ______##_###_#######_____#_____#_##_____________ _____#_#__##_##______#___##____#________________ ____#__#_####________###__##__#_________________ ____#_##_###____________##__##__________________ _____##_________________________________________ ______##________________________________________ </lang>
Common Lisp
<lang lisp>(defmacro toggle (gv) `(setf ,gv (not ,gv)))
(defun langtons-ant (width height start-x start-y start-dir)
(let ( (grid (make-array (list width height)))
(x start-x)
(y start-y)
(dir start-dir) )
(loop while (and (< -1 x width) (< -1 y height)) do
(if (toggle (aref grid x y))
(setq dir (mod (1+ dir) 4))
(setq dir (mod (1- dir) 4)))
(case dir
(0 (decf y))
(1 (incf x))
(2 (incf y))
(3 (decf x)))
)
grid
)
)
(defun show-grid (grid)
(destructuring-bind (width height) (array-dimensions grid)
(dotimes (y height)
(dotimes (x width)
(princ (if (aref grid x y) "#" ".")))
(princ #\Newline))
)
)
(setf *random-state* (make-random-state t)) (show-grid (langtons-ant 100 100 (+ 45 (random 10)) (+ 45 (random 10)) (random 4)))</lang>
D
Textual Version
<lang d>void main() @safe {
import std.stdio, std.traits;
enum width = 75, height = 52;
enum maxSteps = 12_000;
enum Direction { up, right, down, left }
enum Color : char { white = '.', black = '#' }
uint x = width / 2, y = height / 2;
Color[width][height] M;
auto dir = Direction.up;
with (Color)
for (int i = 0; i < maxSteps && x < width && y < height; i++) {
immutable turn = M[y][x] == black;
dir = [EnumMembers!Direction][(dir + (turn ? 1 : -1)) & 3];
M[y][x] = (M[y][x] == black) ? white : black;
final switch(dir) with (Direction) {
case up: y--; break;
case right: x--; break;
case down: y++; break;
case left: x++; break;
}
}
writefln("%(%-(%c%)\n%)", M);
}</lang>
- Output:
........................................................................... ........................................................................... ........................................................................... ........................................................................... .............................##..############..##.......................... ............................#..####..........#..##......................... ...........................###...##............##.#........................ ...........................#.#..#.........#..#....#........................ .......................##..##.#.#.........###.......#...................... ....................###.#..#...#.....#.....##.##..###...................... .....................#.#..###..##.####.##...#.#..#.##..##.................. .....................#.###.##..#.##..###.#.#.....###...###................. ...................#.....#...#####.#.#..####..#...###.#.#.#................ ..................###.##...#.####..##.##.######.#.###.#...#................ ..................#.###.#.##.#.#.##.##.##.#...#####.###.##................. ......................#.#...#.##.###...#...#.#..####....#.##............... ...................#..#.........##.##...#..##.....##.#.....##.............. ..................###...#.#.##.###..#..##.....#...###.##..##.#............. .................#..###..##...##.##...###..#....#..##.####...#............. ................###...#...#.#..#.#.####.##..#.##.###..#.....#.............. ...............#..###..#.##....#..#.###..#......###.##.#..#..##............ ..............###...#.....#.##.#.##..##..#####.####..####.##...#........... .............#..###..#.#.#..#.###.#.#.##......##...#.#.#....#...#.......... ............###...#..##.###..##.#...##.......####.####...#......#.......... ...........#..###..#.#..#...##..###########.#..####..#....#....#........... ..........###...#..##......#.####..##..#########..#..##....#..##........... .........#..###..#.#...##..#.##...##.##.###.###...#..#.##..####.#.......... ........###...#..##...#..#.######.##.#.##.#.#....###.###...##...#.......... .......#..###..#.#...#.....#####.#.#####.....#.#..##.#....##...#........... ......###...#..##....#.....#.##.#####.##..#.#...#..#..##.#..#..#........... .....#..###..#.#.....#....#...####.#..#####.##...##########...##........... ....###...#..##......#.##...##...#..#...####..#...##.####.##............... ...#..###..#.#........#####.#..##...##.#...#....#.#..#..#..#.#............. ..###...#..##..........##..##.#.#.#....##.##.#.#.##..#..##..##............. .#..###..#.#.................#..#....#.########.#.#.##..####.#............. ###...#..##..................#..#...#.......##.##...#..#..##.#............. ...##..#.#....................#..#..#......#..##..##...##.####............. ##..#..##......................##...#.......##..##....#...#.###............ .#.#.#.#............................#.##..####....####.###.####............ ####.##..............................##..####....##..#.##.#.#..#........... #.##.#................................##....##....##.###.##.#####.......... .####................................................#.##.#..####.......... ..##.....................................................##.##.##.......... .........................................................##................ .......................................................#.##..####.#........ ......................................................#..#.###..###........ ......................................................#.##.#..#..#......... .......................................................##......##.......... ........................................................##................. ........................................................................... ........................................................................... ...........................................................................
Image Version
This similar version requires the module from the Grayscale Image Task to generate and save a PGM image. <lang d>import std.stdio, std.algorithm, std.traits, grayscale_image;
void main() {
enum width = 100, height = 100;
enum nSteps = 12_000;
enum Direction { up, right, down, left }
auto M = new Image!Gray(width, height);
M.clear(Gray.white);
uint x = width / 2, y = height / 2;
auto dir = Direction.up;
for (int i = 0; i < nSteps && x < width && y < height; i++) {
immutable turn = M[x, y] == Gray.black;
dir = [EnumMembers!Direction][(dir + (turn ? 1 : -1)) & 3];
M[x, y] = (M[x, y] == Gray.black) ? Gray.white : Gray.black;
final switch(dir) with (Direction) {
case up: y--; break;
case right: x--; break;
case down: y++; break;
case left: x++; break;
}
}
M.savePGM("langton_ant.pgm");
}</lang>
EchoLisp
We implement multi-colored ants, as depicted in the article. An ant is described using L(eft)R(ight) patterns. LR is the basic black and white ant, other are RRLLLRRL or RRLLLRLLLRRR. See results for s black-and-white or colored ants. <lang scheme> (lib 'plot) (lib 'types)
(define (move iter x dir constant: plane turns cmax width xmax (cidx 0)) (while (> iter 0) ;; get color index of current square (set! cidx (vector-ref plane x))
;; turn (if (vector-ref turns cidx) (set! dir (if (= dir 3) 0 (1+ dir))) ;; right is #t (set! dir (if (= dir 0) 3 (1- dir))))
;; rotate colors (set! cidx (if (= cidx cmax) 0 (1+ cidx))) (vector-set! plane x cidx)
;; move ;; x = v + h*width for a pixel at (h,v) (set! x (cond ((= dir 0) (1+ x)) ((= dir 1) (+ x width)) ((= dir 2) (1- x)) ((= dir 3) (- x width))))
(when (or (< x 0) (>= x xmax)) (set! iter -666)) ;; out of bounds (set! iter (1- iter))) iter)
- a color table of 16 colors
(define colors
(list 0 (rgb 1 1 1) (rgb 1 0 0) (rgb 0 1 0) (rgb 0 0 1) (rgb 1 1 0) (rgb 1 0 1) (rgb 0 1 1)))
(define colors (list->vector (append colors colors)))
- transform color index into rgb color, using colors table.
(define (colorize plane xmax) (for ((x xmax)) (vector-set! plane x (vector-ref colors (vector-ref plane x)))) (vector->pixels plane) xmax )
- ant's patterns
(define turns #(#t #t #f #f #f #t #f #f #f #t #t #t)) ;; RRLLLRLLLRRR
- (define turns #(#t #t #f #f #f #t #t #f)) ; RRLLLRRL
- (define turns #(#t #f)) ; RL
- basic ant
(define (ant (iter 100000)) (plot-clear) (define width (first (pixels-dim))) ;; plane dimensions (define height (rest (pixels-dim))) (define plane (pixels->uint32-vector)) (define x (+ (quotient width 2) (* width (quotient height 2)))) ;; middle of plane (define xmax (* width height))
(move iter x 0 plane turns (1- (vector-length turns)) width xmax) (colorize plane xmax))
(ant) ;; run </lang>
Ela
A straightforward implementation (assumes that we start with ant looking forward):
<lang ela>open list core generic
type Field = Field a type Color = White | Black type Direction = Lft | Fwd | Rgt | Bwd field s = Field [[White \\ _ <- [1..s]] \\ _ <- [1..s]]
isBlack Black = true isBlack _ = false
newfield xc yc (Field xs) = Field (newfield' 0 xs)
where newfield' _ [] = []
newfield' n (x::xs)
| n == yc = row 0 x :: xs
| else = x :: newfield' (n+1) xs
where row _ [] = []
row n (x::xs)
| n == xc = toggle x :: xs
| else = x :: row (n+1) xs
where toggle White = Black
toggle Black = White
showPath (Field xs) = toString <| show' "" xs
where show' sb [] = sb +> ""
show' sb (x::xs) = show' (showRow sb x +> "\r\n") xs
where showRow sb [] = sb +> ""
showRow sb (x::xs) = showRow (sb +> s) xs
where s | isBlack x = "#"
| else = "_"
move s xc yc = move' (Fwd,xc,yc) (field s)
where move' (pos,xc,yc)@coor fld
| xc >= s || yc >= s || xc < 0 || yc < 0 = fld
| else = fld |> newfield xc yc |> move' (matrix (dir fld) coor)
where dir (Field xs)
| `isBlack` (xs:yc):xc = Lft
| else = Rgt
matrix Lft (pos,x,y) = go (left pos,x,y)
matrix Rgt (pos,x,y) = go (right pos,x,y)
go (Lft,x,y) = (Lft,x - 1,y)
go (Rgt,x,y) = (Rgt,x+1,y)
go (Fwd,x,y) = (Fwd,x,y - 1)
go (Bwd,x,y) = (Bwd,x,y+1)
right Lft = Fwd
right Fwd = Rgt
right Rgt = Bwd
right Bwd = Lft
left Lft = Bwd
left Bwd = Rgt
left Rgt = Fwd
left Fwd = Lft</lang>
This implementation is pure (doesn't produce side effects).
Testing:
<lang ela>showPath <| move 100 50 50</lang>
Output (empty lines are skipped to save space):
__________________________________________##__############__##______________________________________ _________________________________________#__####__________#__##_____________________________________ ________________________________________###___##____________##_#____________________________________ ________________________________________#_#__#_________#__#____#____________________________________ ____________________________________##__##_#_#_________###_______#__________________________________ _________________________________###_#__#___#_____#_____##_##__###__________________________________ __________________________________#_#__###__##_####_##___#_#__#_##__##______________________________ __________________________________#_###_##__#_##__###_#_#_____###___###_____________________________ ________________________________#_____#___#####_#_#__####__#___###_#_#_#____________________________ _______________________________###_##___#_####__##_##_######_#_###_#___#____________________________ _______________________________#_###_#_##_#_#_##_##_##_#___#####_###_##_____________________________ ___________________________________#_#___#_##_###___#___#_#__####____#_##___________________________ ________________________________#__#_________##_##___#__##_____##_#_____##__________________________ _______________________________###___#_#_##_###__#__##_____#___###_##__##_#_________________________ ______________________________#__###__##___##_##___###__#____#__##_####___#_________________________ _____________________________###___#___#_#__#_#_####_##__#_##_###__#_____#__________________________ ____________________________#__###__#_##____#__#_###__#______###_##_#__#__##________________________ ___________________________###___#_____#_##_#_##__##__#####_####__####_##___#_______________________ __________________________#__###__#_#_#__#_###_#_#_##______##___#_#_#____#___#______________________ _________________________###___#__##_###__##_#___##_______####_####___#______#______________________ ________________________#__###__#_#__#___##__###########_#__####__#____#____#_______________________ _______________________###___#__##______#_####__##__#########__#__##____#__##_______________________ ______________________#__###__#_#___##__#_##___##_##_###_###___#__#_##__####_#______________________ _____________________###___#__##___#__#_######_##_#_##_#_#____###_###___##___#______________________ ____________________#__###__#_#___#_____#####_#_#####_____#_#__##_#____##___#_______________________ ___________________###___#__##____#_____#_##_#####_##__#_#___#__#__##_#__#__#_______________________ __________________#__###__#_#_____#____#___####_#__#####_##___##########___##_______________________ _________________###___#__##______#_##___##___#__#___####__#___##_####_##___________________________ ________________#__###__#_#________#####_#__##___##_#___#____#_#__#__#__#_#_________________________ _______________###___#__##__________##__##_#_#_#____##_##_#_#_##__#__##__##_________________________ ______________#__###__#_#_________________#__#____#_########_#_#_##__####_#_________________________ _____________###___#__##__________________#__#___#_______##_##___#__#__##_#_________________________ ____________#__###__#_#____________________#__#__#______#__##__##___##_####_________________________ ___________###___#__##______________________##___#_______##__##____#___#_###________________________ __________#__###__#_#____________________________#_##__####____####_###_####________________________ _________###___#__##______________________________##__####____##__#_##_#_#__#_______________________ ________#__###__#_#________________________________##____##____##_###_##_#####______________________ _______###___#__##________________________________________________#_##_#__####______________________ ______#__###__#_#_____________________________________________________##_##_##______________________ _____###___#__##______________________________________________________##____________________________ ____#__###__#_#_____________________________________________________#_##__####_#____________________ ___###___#__##_____________________________________________________#__#_###__###____________________ __#__###__#_#______________________________________________________#_##_#__#__#_____________________ _###___#__##________________________________________________________##______##______________________ #__###__#_#__________________________________________________________##_____________________________ _###_#__##__________________________________________________________________________________________ #_#_#_#_#___________________________________________________________________________________________ _####_##____________________________________________________________________________________________ _#_##_#_____________________________________________________________________________________________ __####______________________________________________________________________________________________ ___##_______________________________________________________________________________________________
Elixir
<lang elixir>defmodule Langtons do
def ant(sizex, sizey) do
{px, py} = {div(sizex,2), div(sizey,2)} # start position
move(MapSet.new, sizex, sizey, px, py, {1,0}, 0)
end
defp move(plane, sx, sy, px, py, _, step) when px<0 or sx<px or py<0 or sy<py, do:
print(plane, sx, sy, px, py, step)
defp move(plane, sx, sy, px, py, dir, step) do
{plane2, {dx,dy}} = if {px,py} in plane,
do: {MapSet.delete(plane, {px,py}), turn_right(dir)},
else: {MapSet.put(plane, {px,py}), turn_left(dir)}
move(plane2, sx, sy, px+dx, py+dy, {dx,dy}, step+1)
end
defp turn_right({dx, dy}), do: {dy, -dx}
defp turn_left({dx, dy}), do: {-dy, dx}
defp print(plane, sx, sy, px, py, step) do
IO.puts "out of bounds after #{step} moves: (#{px}, #{py})"
Enum.each(0..sy, fn j ->
IO.puts Enum.map(0..sx, fn i -> if {i,j} in plane, do: "#", else: "." end)
end)
end
end
Langtons.ant(100, 100)</lang>
- Output:
out of bounds after 11669 moves: (26, -1) ..........................#.#........................................................................ ........................##.#.#....................................................................... .......................#.###.##...................................................................... ......................####.###.#..................................................................... ......................#####.#..##.................................................................... .......................#...##.##.#................................................................... ........................###...#..##.................................................................. .........................#...##.##.#................................................................. ..........................###...#..##................................................................ ...........................#...##.##.#............................................................... ............................###...#..##.............................................................. .............................#...##.##.#............................................................. ..............................###...#..##............................................................ ...............................#...##.##.#........................................................... ................................###...#..##.......................................................... .................................#...##.##.#......................................................... ..................................###...#..##........................................................ ...................................#...##.##.#....................................................... ....................................###...#..##...................................................... .....................................#...##.##.#..................................................... ......................................###...#..##.................................................... .......................................#...##.##.#................................................... ........................................###...#..##.................................................. .........................................#...##.##.#................................................. ..........................................###...#..##................................................ ...........................................#...##.##.#............................................... ............................................###...#..##.............................................. .............................................#...##.##.#............................................. ..............................................###...#..##............................................ ...............................................#...##.##.#........................................... ................................................###...#..##.......................................... .................................................#...##.##.#..##..................................... ..................................................###...#..##..##.................................... ...................................................#...##.##..##...#................................. .............................................####...###...#...#..###................................. ............................................#....#...#...##.####...#................................. ...........................................###....#...#.#......#.##.#................................ ...........................................###....#.##.....#.##..#.##................................ ............................................#....#...##.#.#.....##................................... ............................................#.#......#.#####..#...#.................................. ...........................................#...#####..........##.######.............................. ...........................................###..##..#.##.#.#.#...##.#.##............................. .........................................##..#.#######.#...#..###....##.#............................ ........................................#..#..######.##...#..#.##...#...#............................ .......................................#....#.#.##.#..######.#######...#............................. .......................................#.####.##.#.####....##..##.#.##.#............................. ........................................#....####...#..#.######.##....###............................ ...........................................#...#.##.#.###.#..##..##...###............................ ..............................................#######....#..##.##.#.....#............................ ......................................####..##.##..####.##.##.##..#.....#............................ .....................................#....#.#...###.##.###....#.####....#............................ ....................................###.......###.#.#.#####....#.#......#............................ ....................................#.#...###.####.##.#...##.###.##.....#............................ ..........................................##.##..####....####.#.#.#.....#............................ .....................................#....#..##...###..###.....###......#............................ .....................................##...##.###.####..#......###...##..#............................ .....................................##.#.####.....#...#..#.##.###.##...#............................ ....................................####.##...##.####..#.#..#..#..###...#............................ ....................................#.##.###..#.#.##.#.#.....#.#.....#.#............................. ........................................#.#..#....##.##..#.#..###.##................................. ........................................##.#....#..#####.#....#....#..#.#............................ .......................................#.##.#..#....##.##.#..###......###............................ .....................................#.#...#..#..#..#..###...##..##....#............................. ....................................###.#.#####.######.###.#######.#.##.............................. ....................................#.#.#....#####...##..#####.#####................................. ......................................#..##...#......#..#.##..###.###................................ ...................................####...#####.#########...#.#...................................... ..............................##....#..#.....###.#.#...#.###..###.................................... .............................#..#..####.##...###.##...###.##.....##.................................. ............................###....#.##.#.#####...#....#..#..##.###.................................. ............................#.#####.#.#...##..##.....#....#...#..#................................... ................................######.####..##.#...#..##..#.#.##.................................... ..............................##......#.###.##..####...#...###....................................... ...............................#..#.#####..#...#.##...#..#..#........................................ ...............................##.###.#######.....#.....#.##......................................... ..............................#.#..##.##......#...##....#............................................ .............................#..#.####........###..##..#............................................. .............................#.##.###............##..##.............................................. ..............................##..................................................................... ...............................##.................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... ..................................................................................................... .....................................................................................................
Elm
<lang elm>import Maybe as M import Matrix import Time exposing (Time, every, second) import List exposing (..) import String exposing (join) import Html exposing (div, h1, text) import Html.App exposing (program) import Svg import Svg.Attributes exposing (version, viewBox, cx, cy, r, x, y, x1, y1, x2, y2, fill,style, width, height, preserveAspectRatio)
w = 700 h = 700 dt = 0.0001
type Direction = North | West | South | East
type alias Model =
{ rows : Int
, cols : Int
, boxes : Matrix.Matrix Bool
, location : Matrix.Location
, direction : Direction
}
initModel : Int -> Int -> Model initModel cols rows =
{ rows = rows
, cols = cols
, boxes = Matrix.matrix rows cols (\location -> False)
, location = (rows//2,cols//2)
, direction = North
}
view model =
let borderLineStyle = style "stroke:black;stroke-width:0.3"
x1Min = x1 <| toString 0 y1Min = y1 <| toString 0 x1Max = x1 <| toString model.cols y1Max = y1 <| toString model.rows x2Min = x2 <| toString 0 y2Min = y2 <| toString 0 x2Max = x2 <| toString model.cols y2Max = y2 <| toString model.rows
borders = [ Svg.line [ x1Min, y1Min, x2Max, y2Min, borderLineStyle ] []
, Svg.line [ x1Max, y1Min, x2Max, y2Max, borderLineStyle ] []
, Svg.line [ x1Max, y1Max, x2Min, y2Max, borderLineStyle ] []
, Svg.line [ x1Min, y1Max, x2Min, y2Min, borderLineStyle ] []
]
circleInBox (row,col) color =
Svg.circle [ r "0.25"
, fill (color)
, cx (toString (toFloat col + 0.5))
, cy (toString (toFloat row + 0.5))
] []
showUnvisited location box =
if box then [circleInBox location "black" ]
else []
unvisited = model.boxes
|> Matrix.mapWithLocation showUnvisited
|> Matrix.flatten
|> concat
maze = [ Svg.g [] <| borders ++ unvisited ]
in
div
[]
[ h1 [] [text "Langton's Ant"]
, Svg.svg
[ version "1.1"
, width (toString w)
, height (toString h)
, viewBox (join " "
[ 0 |> toString
, 0 |> toString
, model.cols |> toString
, model.rows |> toString ])
]
maze
]
updateModel : Model -> Model updateModel model =
let current = model.location
inBox = snd current >= 0 && snd current < model.cols
&& fst current >= 0 && fst current < model.rows
in if not inBox then
model
else
let currentValue = Matrix.get current model.boxes |> M.withDefault False
dir = case (model.direction, currentValue) of
(North, True) -> East
(East, True) -> South
(South, True) -> West
(West, True) -> North
(North, False) -> West
(East, False) -> North
(South, False) -> East
(West, False) -> South
next = case dir of
North -> (fst current+1, snd current)
South -> (fst current-1, snd current)
East -> (fst current, snd current+1)
West -> (fst current, snd current-1)
boxes = Matrix.set current (not currentValue) model.boxes
in {model | boxes=boxes, location=next, direction=dir}
type Msg = Tick Time
subscriptions model = every (dt * second) Tick
main =
let
update msg model = (updateModel model, Cmd.none)
init = (initModel 100 100 , Cmd.none)
in program
{ init = init
, view = view
, update = update
, subscriptions = subscriptions
}</lang>
Link to live demo: https://dc25.github.io/langtonsAntElm/
Erlang
Over-engineered sine I have summer vacation. Ex: Display function only display lines with black cells. <lang Erlang> -module( langtons_ant ).
-export( [task/0] ).
-record( neighbour, {north, south, east, west} ). -record( state, {colour=white, controller, max_x, max_y, neighbour, position} ).
task() ->
Controller = erlang:self(),
Max_x = Max_y = 100,
Pid_positions = plane_create( Controller, Max_x, Max_y ),
Pids = [X || {X, _} <- Pid_positions],
[X ! {pid_positions, Pid_positions} || X <- Pids],
{Pid, _Position} = lists:keyfind( {Max_x div 2, Max_y div 2}, 2, Pid_positions ),
Pid ! {ant_start, north, Controller},
receive
{ant_arrives, _Pid} -> ok
end,
display( Controller, Max_x, Max_y, Pids ),
[X ! {stop, Controller} || X <- Pids].
display( Controller, Max_x, Max_y, Pids ) ->
Positions_colours = display_positions_colours( Pids, Controller ),
All_lines = [display_line( Max_x, Positions_colours, Y ) || Y <- lists:seq(Max_y, 1, -1)],
Lines_with_black = [X || X <- All_lines, lists:member(black, X)],
[io:fwrite( "~s~n", | X <- Lines ) || Lines <- Lines_with_black].
display_line( Max_x, Positions_colours, Y ) -> [proplists:get_value({X,Y}, Positions_colours, white) || X <- lists:seq(1, Max_x)].
display_on_screen( white ) -> $_; display_on_screen( black ) -> $#.
display_positions_colours( Pids, Controller ) ->
[X ! {position_colour, Controller} || X <- Pids],
[display_positions_colours_receive() || _X <- Pids].
display_positions_colours_receive( ) ->
receive
{position_colour, Position, Colour} -> {Position, Colour}
end.
loop( State ) ->
receive
{pid_positions, Pid_positions} ->
{_My_position, Neighbour} = lists:foldl( fun loop_neighbour/2, {State#state.position, #neighbour{}}, Pid_positions ),
erlang:garbage_collect(), % Shrink process after using large Pid_positions. For memory starved systems.
loop( State#state{neighbour=Neighbour} );
{ant_start, Direction, Controller} when Controller =:= State#state.controller ->
{Pid, New_state} = loop_ant_departs( Direction, State ),
Pid ! {ant_arrives, erlang:self()},
loop( New_state );
{ant_arrives, From} ->
{Direction, New_state} = loop_ant_arrives( From, State ),
{To, Newest_state} = loop_ant_departs( Direction, New_state ),
To ! {ant_arrives, erlang:self()},
loop( Newest_state );
{position_colour, Controller} when Controller =:= State#state.controller ->
Controller ! {position_colour, State#state.position, State#state.colour},
loop( State );
{stop, Controller} when Controller =:= State#state.controller -> ok
end.
loop_ant_arrives( Pid, State ) ->
Neighbour = State#state.neighbour,
From = loop_ant_arrives_direction( Pid, Neighbour ),
{loop_ant_arrives_new_direction(From, State), State}.
loop_ant_arrives_direction( Pid, #neighbour{north=Pid} ) -> north; loop_ant_arrives_direction( Pid, #neighbour{south=Pid} ) -> south; loop_ant_arrives_direction( Pid, #neighbour{east=Pid} ) -> east; loop_ant_arrives_direction( Pid, #neighbour{west=Pid} ) -> west.
loop_ant_arrives_new_direction( north, #state{colour=white} ) -> west; loop_ant_arrives_new_direction( north, #state{colour=black} ) -> east; loop_ant_arrives_new_direction( south, #state{colour=white} ) -> east; loop_ant_arrives_new_direction( south, #state{colour=black} ) -> west; loop_ant_arrives_new_direction( east, #state{colour=white} ) -> north; loop_ant_arrives_new_direction( east, #state{colour=black} ) -> south; loop_ant_arrives_new_direction( west, #state{colour=white} ) -> south; loop_ant_arrives_new_direction( west, #state{colour=black} ) -> north.
loop_ant_departs( north, #state{position={_X,Y}, max_y=Y}=State ) ->
{State#state.controller, State};
loop_ant_departs( south, #state{position={_X,1}}=State ) ->
{State#state.controller, State};
loop_ant_departs( east, #state{position={X,_Y}, max_x=X}=State ) ->
{State#state.controller, State};
loop_ant_departs( west, #state{position={1,_Y}}=State ) ->
{State#state.controller, State};
loop_ant_departs( Direction, State ) ->
Neighbour = State#state.neighbour,
Pid = loop_ant_departs_pid( Direction, Neighbour ),
{Pid, State#state{colour=other_colour(State)}}.
loop_ant_departs_pid( north, #neighbour{north=Pid} ) -> Pid; loop_ant_departs_pid( south, #neighbour{south=Pid} ) -> Pid; loop_ant_departs_pid( east, #neighbour{east=Pid} ) -> Pid; loop_ant_departs_pid( west, #neighbour{west=Pid} ) -> Pid.
loop_neighbour( {Pid, {X, Y}}, {{X, My_y}, Neighbour} ) when Y =:= My_y + 1 -> {{X, My_y}, Neighbour#neighbour{north=Pid}}; loop_neighbour( {Pid, {X, Y}}, {{X, My_y}, Neighbour} ) when Y =:= My_y - 1 -> {{X, My_y}, Neighbour#neighbour{south=Pid}}; loop_neighbour( {Pid, {X, Y}}, {{My_x, Y}, Neighbour} ) when X =:= My_x + 1 -> {{My_x, Y}, Neighbour#neighbour{east=Pid}}; loop_neighbour( {Pid, {X, Y}}, {{My_x, Y}, Neighbour} ) when X =:= My_x - 1 -> {{My_x, Y}, Neighbour#neighbour{west=Pid}}; loop_neighbour( _Pid_position, Acc ) -> Acc.
other_colour( #state{colour=white} ) -> black; other_colour( #state{colour=black} ) -> white.
plane_create( Controller, Max_x, Max_y ) -> [{plane_create_cell(Controller, Max_x, Max_y, {X, Y}), {X,Y}} || X <- lists:seq(1, Max_x), Y<- lists:seq(1, Max_y)]. plane_create_cell( Controller, Max_x, Max_y, Position ) -> erlang:spawn_link( fun() -> loop( #state{controller=Controller, max_x=Max_x, max_y=Max_y, position=Position} ) end ). </lang>
- Output:
___________________________________________________________________##_______________________________ ____________________________________________________________________##______________________________ _____________________________________________##__##____________###_##_#_____________________________ ____________________________________________#__##__###________####_#__#_____________________________ ___________________________________________#____##___#______##_##__#_#______________________________ ________________________________________##_#_____#_____#######_###_##_______________________________ _______________________________________#__#__#___##_#___#__#####_#__#_______________________________ ______________________________________###___#___####__##_###_#______##______________________________ ___________________________________##_#_#__##__#___#_##__####_######________________________________ __________________________________#__#___#____#_____##__##___#_#_#####_#____________________________ _________________________________###_##__#__#____#___#####_#_##_#____###____________________________ _________________________________##_____##_###___##_###___##_####__#__#_____________________________ ___________________________________###__###_#___#_#_###_____#__#____##______________________________ _____________________________________#_#___#########_#####___####___________________________________ _______________________________###_###__##_#__#______#___##__#______________________________________ ________________________________#####_#####__##___#####____#_#_#____________________________________ _____________________________##_#_#######_###_######_#####_#_###____________________________________ ____________________________#____##__##___###__#__#__#__#___#_#_____________________________________ 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Euphoria
<lang euphoria>include std\console.e include std\graphics.e
sequence grid = repeat(repeat(1,100),100) --fill 100 by 100 grid with white (1) sequence antData = {48, 53, 360} --ant x coordinate, y coordinate, facing angle integer iterations = 0
--while ant isn't out of bounds of the 100 by 100 area.. while antData[1] > 0 and antData[1] < 100 and antData[2] > 0 and antData[2] < 100 do
switch grid[antData[1]][antData[2]] do
case 1 then--cell is already white
grid[antData[1]][antData[2]] = 0 --cell turns black, ant turns right
antData[3] += 90
break
case 0 then--cell is already black
grid[antData[1]][antData[2]] = 1 --cell turns white, ant turns left
antData[3] -= 90
break
end switch
--wrap ant directions if > 360 or < 90 (by 90)
switch antData[3] do
case 450 then
antData[3] = 90
break
case 0 then
antData[3] = 360
break
end switch
--move ant based on its new facing, one square
--first north, then south, east, west
switch antData[3] do
case 360 then
antData[2] -= 1
break
case 180 then
antData[2] += 1
break
case 90 then
antData[1] += 1
break
case 270 then
antData[1] -= 1
break
end switch
iterations += 1 end while
wrap(0) --don't wrap text output, the grid wouldnt display as a square
for y=1 to 100 do
printf(1,"\n")
for x=1 to 100 do
switch grid[x][y] do--each grid block , based on color
case 0 then
printf(1,".")
break
case 1 then
printf(1,"#")
break
end switch
end for
end for
printf(1,"\n%d Iterations\n",iterations)
any_key()--wait for keypress, put default message 'press any key..'</lang>
Code needed to run SDL example with Mark Akita's SDL_gfx_Test1.exw (as template) included with his SDL_gfx package from rapideuphoria.com's archive - In initialization section :<lang euphoria> sequence grid = repeat(repeat(1,100),100) --fill 100 by 100 grid with white (1) sequence antData = {48, 53, 360} --x coordinate, y coordinate, facing angle</lang> In main() , after keystate=SDL_GetKeyState(NULL) , you can adapt the program above to draw the ant's step each frame. Use dummy=pixelColor(surface,x+20,y+12,#000000FF) (for example) to replace the text output. Just before the close of the while loop, use dummy=pixelColor(surface,antData[1]+20,antData[2]+12,#FF0000FF) for the ant and SDL_UpdateRect(surface,0,0,0,0) to display the graphic.
Fantom
<lang fantom> class World {
Int height Int width Bool[] state
new make (Int height, Int width)
{
this.height = height
this.width = width
state = List(Bool#, height * width)
(height*width).times { state.add (false) }
}
Bool inWorld (Int x, Int y)
{
x >= 0 && x < width && y >= 0 && y < height
}
Void show ()
{
height.times |h|
{
width.times |w|
{
Env.cur.out.writeChar (state[w*width+h] ? '#' : '.')
}
Env.cur.out.writeChar ('\n')
}
}
Void flip (Int x, Int y)
{
state[x*width + y] = !state[x*width + y]
}
Bool stateOf (Int x, Int y)
{
state[x*width + y]
}
}
enum class Direction {
up (0, -1), down (0, 1), left (-1, 0), right (1, 0)
private new make (Int deltaX, Int deltaY)
{
this.deltaX = deltaX
this.deltaY = deltaY
}
Direction rotateLeft ()
{
if (this == up) return left
if (this == down) return right
if (this == left) return down
// if (this == right)
return up
}
Direction rotateRight ()
{
if (this == up) return right
if (this == down) return left
if (this == left) return up
// if (this == right)
return down
}
const Int deltaX const Int deltaY
}
class Ant {
World world Int currX Int currY Direction direction
new make (World world, Int x, Int y)
{
this.world = world
currX = x
currY = y
direction = Direction.up
}
Bool inWorld ()
{
world.inWorld (currX, currY)
}
// the ant movement rules
Void move ()
{
if (world.stateOf (currX, currY))
{
direction = direction.rotateLeft
}
else
{
direction = direction.rotateRight
}
world.flip (currX, currY)
currX += direction.deltaX
currY += direction.deltaY
}
}
class Main {
Void main ()
{
world := World (100, 100)
ant := Ant (world, 50, 50)
numIterations := 0
while (ant.inWorld)
{
ant.move
numIterations += 1
}
world.show
echo ("Finished in $numIterations iterations")
}
} </lang>
Output (snipping the blank lines):
..........................................##..############..##...................................... .........................................#..####..........#..##..................................... ........................................###...##............##.#.................................... ........................................#.#..#.........#..#....#.................................... ....................................##..##.#.#.........###.......#.................................. .................................###.#..#...#.....#.....##.##..###.................................. ..................................#.#..###..##.####.##...#.#..#.##..##.............................. ..................................#.###.##..#.##..###.#.#.....###...###............................. ................................#.....#...#####.#.#..####..#...###.#.#.#............................ ...............................###.##...#.####..##.##.######.#.###.#...#............................ ...............................#.###.#.##.#.#.##.##.##.#...#####.###.##............................. ...................................#.#...#.##.###...#...#.#..####....#.##........................... ................................#..#.........##.##...#..##.....##.#.....##.......................... ...............................###...#.#.##.###..#..##.....#...###.##..##.#......................... ..............................#..###..##...##.##...###..#....#..##.####...#......................... .............................###...#...#.#..#.#.####.##..#.##.###..#.....#.......................... ............................#..###..#.##....#..#.###..#......###.##.#..#..##........................ ...........................###...#.....#.##.#.##..##..#####.####..####.##...#....................... ..........................#..###..#.#.#..#.###.#.#.##......##...#.#.#....#...#...................... .........................###...#..##.###..##.#...##.......####.####...#......#...................... ........................#..###..#.#..#...##..###########.#..####..#....#....#....................... .......................###...#..##......#.####..##..#########..#..##....#..##....................... ......................#..###..#.#...##..#.##...##.##.###.###...#..#.##..####.#...................... .....................###...#..##...#..#.######.##.#.##.#.#....###.###...##...#...................... ....................#..###..#.#...#.....#####.#.#####.....#.#..##.#....##...#....................... ...................###...#..##....#.....#.##.#####.##..#.#...#..#..##.#..#..#....................... ..................#..###..#.#.....#....#...####.#..#####.##...##########...##....................... .................###...#..##......#.##...##...#..#...####..#...##.####.##........................... ................#..###..#.#........#####.#..##...##.#...#....#.#..#..#..#.#......................... ...............###...#..##..........##..##.#.#.#....##.##.#.#.##..#..##..##......................... ..............#..###..#.#.................#..#....#.########.#.#.##..####.#......................... .............###...#..##..................#..#...#.......##.##...#..#..##.#......................... ............#..###..#.#....................#..#..#......#..##..##...##.####......................... ...........###...#..##......................##...#.......##..##....#...#.###........................ ..........#..###..#.#............................#.##..####....####.###.####........................ .........###...#..##..............................##..####....##..#.##.#.#..#....................... ........#..###..#.#................................##....##....##.###.##.#####...................... .......###...#..##................................................#.##.#..####...................... ......#..###..#.#.....................................................##.##.##...................... .....###...#..##......................................................##............................ ....#..###..#.#.....................................................#.##..####.#.................... ...###...#..##.....................................................#..#.###..###.................... ..#..###..#.#......................................................#.##.#..#..#..................... .###...#..##........................................................##......##...................... #..###..#.#..........................................................##............................. .###.#..##.......................................................................................... #.#.#.#.#........................................................................................... .####.##............................................................................................ .#.##.#............................................................................................. ..####.............................................................................................. ...##............................................................................................... Finished in 11669 iterations
Fortran
<lang fortran>program Langtons_Ant
implicit none
integer, parameter :: csize = 100
integer :: direction = 0, maxsteps = 20000
integer :: i, x, y
logical :: cells(csize,csize) = .true.
logical :: cflag
x = csize / 2; y = x
do i = 1, maxsteps
cflag = cells(x,y)
if(cflag) then
direction = direction + 1
if(direction == 4) direction = direction - 4
else
direction = direction - 1
if(direction == -1) direction = direction + 4
end if
cells(x,y) = .not. cells(x,y)
select case(direction)
case(0)
y = y - 1
case(1)
x = x + 1
case(2)
y = y + 1
case(3)
x = x - 1
end select
if(x < 1 .or. x > csize .or. y < 1 .or. y > csize) exit
end do
do y = 1, csize
do x = 1, csize
if(cells(x,y)) then
write(*, "(a)", advance="no") "."
else
write(*, "(a)", advance="no") "#"
end if
end do
write(*,*)
end do
end program</lang>
- Output:
(Cropped to save space)
................................................................................... ................................................................................... .........................................##..############..##...................... ........................................#..####..........#..##..................... .......................................###...##............##.#.................... .......................................#.#..#.........#..#....#.................... ...................................##..##.#.#.........###.......#.................. ................................###.#..#...#.....#.....##.##..###.................. .................................#.#..###..##.####.##...#.#..#.##..##.............. .................................#.###.##..#.##..###.#.#.....###...###............. ...............................#.....#...#####.#.#..####..#...###.#.#.#............ ..............................###.##...#.####..##.##.######.#.###.#...#............ ..............................#.###.#.##.#.#.##.##.##.#...#####.###.##............. ..................................#.#...#.##.###...#...#.#..####....#.##........... ...............................#..#.........##.##...#..##.....##.#.....##.......... ..............................###...#.#.##.###..#..##.....#...###.##..##.#......... .............................#..###..##...##.##...###..#....#..##.####...#......... ............................###...#...#.#..#.#.####.##..#.##.###..#.....#.......... ...........................#..###..#.##....#..#.###..#......###.##.#..#..##........ ..........................###...#.....#.##.#.##..##..#####.####..####.##...#....... .........................#..###..#.#.#..#.###.#.#.##......##...#.#.#....#...#...... ........................###...#..##.###..##.#...##.......####.####...#......#...... .......................#..###..#.#..#...##..###########.#..####..#....#....#....... ......................###...#..##......#.####..##..#########..#..##....#..##....... .....................#..###..#.#...##..#.##...##.##.###.###...#..#.##..####.#...... ....................###...#..##...#..#.######.##.#.##.#.#....###.###...##...#...... ...................#..###..#.#...#.....#####.#.#####.....#.#..##.#....##...#....... ..................###...#..##....#.....#.##.#####.##..#.#...#..#..##.#..#..#....... .................#..###..#.#.....#....#...####.#..#####.##...##########...##....... ................###...#..##......#.##...##...#..#...####..#...##.####.##........... ...............#..###..#.#........#####.#..##...##.#...#....#.#..#..#..#.#......... ..............###...#..##..........##..##.#.#.#....##.##.#.#.##..#..##..##......... .............#..###..#.#.................#..#....#.########.#.#.##..####.#......... ............###...#..##..................#..#...#.......##.##...#..#..##.#......... ...........#..###..#.#....................#..#..#......#..##..##...##.####......... ..........###...#..##......................##...#.......##..##....#...#.###........ .........#..###..#.#............................#.##..####....####.###.####........ ........###...#..##..............................##..####....##..#.##.#.#..#....... .......#..###..#.#................................##....##....##.###.##.#####...... ......###...#..##................................................#.##.#..####...... .....#..###..#.#.....................................................##.##.##...... ....###...#..##......................................................##............ ...#..###..#.#.....................................................#.##..####.#.... ..###...#..##.....................................................#..#.###..###.... .#..###..#.#......................................................#.##.#..#..#..... ###...#..##........................................................##......##...... ...##..#.#..........................................................##............. ##..#..##.......................................................................... .#.#.#.#........................................................................... ####.##............................................................................ #.##.#............................................................................. .####.............................................................................. ..##............................................................................... ................................................................................... ...................................................................................
But, if one remembers complex numbers
<lang Fortran>
PROGRAM LANGTONSANT
C Langton's ant wanders across an initially all-white board, stepping one cell at a go. C If the current cell is white, it becomes black and the ant turns right. C If the current cell is black, it becomes white and the ant turns left. C The ant advances one cell in its latest direction, and reconsiders.
INTEGER ENUFF
PARAMETER (ENUFF = 100) !Said to be so.
CHARACTER*1 CELL(ENUFF,ENUFF) !The work area.
COMPLEX WAY,PLACE !A direction and a position.
INTEGER X,Y,XN,Y1 !Integer versions.
INTEGER STEP !A counter.
CELL = "" !Clear for action.
PLACE = CMPLX(ENUFF/2,ENUFF/2) !Start at the middle.
WAY = (1,0) !Initial direction is +x.
Commence wandering.
DO STEP = 1,20000 !Enough to be going on with.
X = REAL(PLACE) !Change languages.
Y = AIMAG(PLACE) !Could mess about with EQUIVALENCE...
IF (X.LE.0 .OR. X.GT.ENUFF !Are we still
1 .OR.Y.LE.0 .OR. Y.GT.ENUFF) THEN!Within bounds?
WRITE (6,1) STEP - 1,X,Y !No! Offer details.
1 FORMAT ("Step ",I0," to (",I0,",",I0,") is out of bounds!")
EXIT !And wander no further.
END IF !But, if we're within bounds,
IF (CELL(X,Y).NE."#") THEN !Consider our position.
CELL(X,Y) = "#" !A blank cell becomes black. Ish.
WAY = WAY*(0,-1) !Turn right.
ELSE !Otherwise,
CELL(X,Y) = "+" !A black cell becomes white. Ish.
WAY = WAY*(0,+1) !Turn left.
END IF !So much for changing direction.
PLACE = PLACE + WAY !Advance one step.
END DO !On to the next step.
Consider the bounds...
DO Y1 = 1,ENUFF !Work up from the bottom.
IF (ANY(CELL(:,Y1).NE." ")) EXIT !The last line with a splot.
END DO !Subsequent lines would be blank.
DO XN = ENUFF,1,-1 !Work back from the right hand side.
IF (ANY(CELL(XN,:).NE." ")) EXIT !The last column with a splot.
END DO !Subsequent columns would be blank.
Cast forth the splotches.
DO Y = ENUFF,Y1,-1 !The topmost y-coordinate first!
WRITE (6,"(666A1)") CELL(1:XN,Y) !Roll a line's worth.
END DO !On to the next line.
Completed.
END
</lang>
Output is the same, except for orientation. Here I have stuck to (x,y) Cartesian orientation rather than lines (y) increasing downwards. Just for fun, + signs mark cells that have been trampled and then cleaned. But not to pure white... Notice that some interior cells have never been trampled.
- Output:
Step 11669 to (26,101) is out of bounds!
#+#
## #+#
#+###+##
####+###+#
#####+#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+#
###+++#++##
#+++##+##+# ##
###+++#++## +##
#+++##+##++##+++#
#### ###+++#+++#++###
#++++# #+++##+####+++#
###++++# #+#++++++#+##+#
###++++# ## +++#+##++#+##
#++++# +## #+#+++++##++
#+#++++++#+#####++#+++#+
#+++#####++++++++++##+######
###++##++#+##+#+#+#+++##+#+##
## +#+#######+#+++#++###++++##+#
#++#++######+##+++#++#+## ++#+++#
#++++#+#+##+#++######+#######+++#
#+####+##+#+####++++##++##+#+##+#
#++++####+++#++#+######+##++++###
#+++#+##+#+###+#++##++##+++###
+++#######++++#++##+##+#+++++#
#### +##+##++####+##+##+##++#+++++#
#++++#+#+++###+##+###++++#+####++++#
###+++++++###+#+#+#####++++#+#++++++#
#+#+++###+####+##+#+++##+###+##+++++#
++++##+##++####++++####+#+#+#+++++#
#++++#++##+++###++###+++++###++++++#
##+++##+###+####++#++++++###+++##++#
##+#+####+++++#+++#++#+##+###+##+++#
####+##+++##+####++#+#++#++#++###+++#
#+##+###++#+#+##+#+#+++++#+#+++++#+#
++#+#++#++++##+##++#+#++###+##+++
++##+#++++#++#####+#++++#++++#++#+#
+#+##+#++#++++##+##+#++###++++++###
#+#+++#++#++#++#++###+++##++##++++#
###+#+#####+######+###+#######+#+##
#+#+#++++#####+++##++#####+#####+
#++##+++#++++++#++#+##++###+###
####+++#####+#########+++#+#+++
## +#++#+++++###+#+#+++#+###++###+
#++# ####+##+++###+##+++###+##+++++##
###++++#+##+#+#####+++#++++#++#++##+###
#+#####+#+#+++##++##++++ #++++#+ #++#
++######+####++## #+++#+ ##++#+# ##
##++++++#+###+##++####++ #+++###
#++#+#####++#+++#+##+++#+ #++#
##+###+#######+++++#+++++# ##
#+#++##+##++++++#+++##++++#
#++#+#### ###++##++#
#+##+### ## ##
##+
##
GFA Basic
To make it easier to see the output on small Atari screens, the output is written to a text file.
<lang basic> ' ' Langton's ant ' ' World is a global boolean array, 100x100 in size width%=100 height%=100 DIM world!(width%,height%) ARRAYFILL world!(),FALSE ' Time in world time%=0 ' Ant is represented by a global three-element array ' holding: x, y, direction [0=north,1=west,2=south,3=east] DIM ant%(3) ' @setup_ant @run_ant @display_world ' ' Displays the world to file "langton.out": . for false, # for true ' PROCEDURE display_world
LOCAL i%,j%
OPEN "o",#1,"langton.out"
PRINT #1,"Time in world: ";time%;" ticks"
FOR i%=0 TO width%-1
FOR j%=0 TO height%-1
IF world!(i%,j%)
PRINT #1,"#";
ELSE
PRINT #1,".";
ENDIF
NEXT j%
PRINT #1,""
NEXT i%
CLOSE #1
RETURN ' ' Set up the ant to start at (50,50) facing north ' PROCEDURE setup_ant
ant%(0)=50 ant%(1)=50 ant%(2)=0
RETURN ' ' check if ant position is within world's bounds ' FUNCTION ant_in_world
RETURN ant%(0)>=0 AND ant%(0)<width% AND ant%(1)>=0 AND ant%(1)<height%
ENDFUNC ' ' Turn ant direction to left ' PROCEDURE ant_turn_left
ant%(2)=(ant%(2)+1) MOD 4
RETURN ' ' Turn ant direction to right ' PROCEDURE ant_turn_right
ant%(2)=(ant%(2)+3) MOD 4
RETURN ' ' Ant takes a step forward in current direction ' PROCEDURE ant_step_forward
SELECT ant%(2) CASE 0 ant%(0)=ant%(0)+1 CASE 1 ant%(1)=ant%(1)+1 CASE 2 ant%(0)=ant%(0)-1 CASE 3 ant%(1)=ant%(1)-1 ENDSELECT
RETURN ' ' Run the ant until it falls out of the world ' PROCEDURE run_ant
WHILE @ant_in_world
time%=time%+1
IF world!(ant%(0),ant%(1)) ! true for white
world!(ant%(0),ant%(1))=FALSE
@ant_turn_left
ELSE ! false for black
world!(ant%(0),ant%(1))=TRUE
@ant_turn_right
ENDIF
@ant_step_forward
WEND
RETURN </lang>
Go
<lang go>package main
import (
"fmt" "image" "image/color" "image/draw" "image/png" "os"
)
const (
up = iota rt dn lt
)
func main() {
bounds := image.Rect(0, 0, 100, 100)
im := image.NewGray(bounds)
gBlack := color.Gray{0}
gWhite := color.Gray{255}
draw.Draw(im, bounds, image.NewUniform(gWhite), image.ZP, draw.Src)
pos := image.Point{50, 50}
dir := up
for pos.In(bounds) {
switch im.At(pos.X, pos.Y).(color.Gray).Y {
case gBlack.Y:
im.SetGray(pos.X, pos.Y, gWhite)
dir--
case gWhite.Y:
im.SetGray(pos.X, pos.Y, gBlack)
dir++
}
if dir&1 == 1 {
pos.X += 1 - dir&2
} else {
pos.Y -= 1 - dir&2
}
}
f, err := os.Create("ant.png")
if err != nil {
fmt.Println(err)
return
}
if err = png.Encode(f, im); err != nil {
fmt.Println(err)
}
if err = f.Close(); err != nil {
fmt.Println(err)
}
}</lang>
Haskell
<lang Haskell>data Color = Black | White
deriving (Read, Show, Enum, Eq, Ord)
putCell c = putStr (case c of Black -> "#"
White -> ".")
toggle :: Color -> Color toggle color = toEnum $ 1 - fromEnum color
data Dir = East | North | West | South
deriving (Read, Show, Enum, Eq, Ord)
turnLeft South = East turnLeft dir = succ dir
turnRight East = South turnRight dir = pred dir
data Pos = Pos { x :: Int, y :: Int }
deriving (Read)
instance Show Pos where
show p@(Pos x y) = "(" ++ (show x) ++ "," ++ (show y) ++ ")"
-- Return the new position after moving one unit in the given direction moveOne pos@(Pos x y) dir =
case dir of East -> Pos (x+1) y South -> Pos x (y+1) West -> Pos (x-1) y North -> Pos x (y-1)
-- Grid is just a list of lists type Grid = Color
colorAt g p@(Pos x y) = (g !! y) !! x
replaceNth n newVal (x:xs)
| n == 0 = newVal:xs
| otherwise = x:replaceNth (n-1) newVal xs
toggleCell g p@(Pos x y) =
let newVal = toggle $ colorAt g p in replaceNth y (replaceNth x newVal (g !! y)) g
printRow r = do { mapM_ putCell r ; putStrLn "" }
printGrid g = mapM_ printRow g
data State = State { move :: Int, pos :: Pos, dir :: Dir, grid :: Grid }
printState s = do {
putStrLn $ show s; printGrid $ grid s
}
instance Show State where
show s@(State m p@(Pos x y) d g) =
"Move: " ++ (show m) ++ " Pos: " ++ (show p) ++ " Dir: " ++ (show d)
nextState s@(State m p@(Pos x y) d g) =
let color = colorAt g p
new_d = case color of White -> (turnRight d)
Black -> (turnLeft d)
new_m = m + 1
new_p = moveOne p new_d
new_g = toggleCell g p
in State new_m new_p new_d new_g
inRange size s@(State m p@(Pos x y) d g) =
x >= 0 && x < size && y >= 0 && y < size
initialState size = (State 0 (Pos (size`div`2) (size`div`2)) East [ [ White | x <- [1..size] ] | y <- [1..size] ])
--- main size = 100 allStates = initialState size : [nextState s | s <- allStates]
main = printState $ last $ takeWhile (inRange size) allStates</lang>
Icon and Unicon
<lang Icon>link graphics,printf
procedure main(A)
e := ( 0 < integer(\A[1])) | 100 # 100 or whole number from command line LangtonsAnt(e)
end
record antrec(x,y,nesw)
procedure LangtonsAnt(e)
size := sprintf("size=%d,%d",e,e)
label := sprintf("Langton's Ant %dx%d [%d]",e,e,0)
&window := open(label,"g","bg=white",size) |
stop("Unable to open window")
ant := antrec(e/2,e/2,?4%4)
board := list(e)
every !board := list(e,"w")
k := 0
repeat {
k +:= 1
WAttrib("fg=red")
DrawPoint(ant.x,ant.y)
cell := board[ant.x,ant.y]
if cell == "w" then { # white cell
WAttrib("fg=black")
ant.nesw := (ant.nesw + 1) % 4 # . turn right
}
else { # black cell
WAttrib( "fg=white")
ant.nesw := (ant.nesw + 3) % 4 # . turn left = 3 x right
}
board[ant.x,ant.y] := map(cell,"wb","bw") # flip colour
DrawPoint(ant.x,ant.y)
case ant.nesw of { # go
0: ant.y -:= 1 # . north
1: ant.x +:= 1 # . east
2: ant.y +:= 1 # . south
3: ant.x -:= 1 # . west
}
if 0 < ant.x <= e & 0 < ant.y <= e then next
else break
}
printf("Langton's Ant exited the field after %d rounds.\n",k)
label := sprintf("label=Langton's Ant %dx%d [%d]",e,e,k)
WAttrib(label)
WDone()
end</lang>
printf.icn provides formatting graphics.icn provides graphics support (WDone)
J
<lang j>dirs=: 0 1,1 0,0 _1,:_1 0 langton=:3 :0
loc=. <.-:$cells=. (_2{.y,y)$dir=. 0
while. *./(0<:loc), loc<$cells do.
color=. (<loc) { cells
cells=. (-.color) (<loc)} cells
dir=. 4 | dir + _1 ^ color
loc=. loc + dir { dirs
end.
' #' {~ cells
)</lang>
langton 100 100
# #
## # #
# ### ##
#### ### #
##### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## # ##
### # ## ##
# ## ## ## #
#### ### # # ###
# # # ## #### #
### # # # # ## #
### # ## # ## # ##
# # ## # # ##
# # # ##### # #
# ##### ## ######
### ## # ## # # # ## # ##
## # ####### # # ### ## #
# # ###### ## # # ## # #
# # # ## # ###### ####### #
# #### ## # #### ## ## # ## #
# #### # # ###### ## ###
# # ## # ### # ## ## ###
####### # ## ## # #
#### ## ## #### ## ## ## # #
# # # ### ## ### # #### #
### ### # # ##### # # #
# # ### #### ## # ## ### ## #
## ## #### #### # # # #
# # ## ### ### ### #
## ## ### #### # ### ## #
## # #### # # # ## ### ## #
#### ## ## #### # # # # ### #
# ## ### # # ## # # # # # #
# # # ## ## # # ### ##
## # # ##### # # # # #
# ## # # ## ## # ### ###
# # # # # # ### ## ## #
### # ##### ###### ### ####### # ##
# # # ##### ## ##### #####
# ## # # # ## ### ###
#### ##### ######### # #
## # # ### # # # ### ###
# # #### ## ### ## ### ## ##
### # ## # ##### # # # ## ###
# ##### # # ## ## # # # #
###### #### ## # # ## # # ##
## # ### ## #### # ###
# # ##### # # ## # # #
## ### ####### # # ##
# # ## ## # ## #
# # #### ### ## #
# ## ### ## ##
##
##
Java
This implementation allows for sizes other than 100x100, marks the starting position with a green box (sometimes hard to see at smaller zoom levels and the box is smaller than the "pixels" so it doesn't cover up the color of the "pixel" it's in), and includes a "zoom factor" (ZOOM) in case the individual "pixels" are hard to see on your monitor.
<lang java>import java.awt.Color;
import java.awt.Graphics;
import javax.swing.JFrame; import javax.swing.JPanel;
public class Langton extends JFrame{ private JPanel planePanel; private static final int ZOOM = 4;
public Langton(final boolean[][] plane){ planePanel = new JPanel(){ @Override public void paint(Graphics g) { for(int y = 0; y < plane.length;y++){ for(int x = 0; x < plane[0].length;x++){ g.setColor(plane[y][x] ? Color.BLACK : Color.WHITE); g.fillRect(x * ZOOM, y * ZOOM, ZOOM, ZOOM); } } //mark the starting point g.setColor(Color.GREEN); g.fillRect(plane[0].length / 2 * ZOOM, plane.length / 2 * ZOOM, ZOOM/2, ZOOM/2); } }; planePanel.setSize(plane[0].length - 1, plane.length - 1); add(planePanel); setSize(ZOOM * plane[0].length, ZOOM * plane.length + 30); setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); setVisible(true); }
public static void main(String[] args){ new Langton(runAnt(100, 100)); }
private static boolean[][] runAnt(int height, int width){ boolean[][] plane = new boolean[height][width]; int antX = width/2, antY = height/2;//start in the middle-ish int xChange = 0, yChange = -1; //start moving up while(antX < width && antY < height && antX >= 0 && antY >= 0){ if(plane[antY][antX]){ //turn left if(xChange == 0){ //if moving up or down xChange = yChange; yChange = 0; }else{ //if moving left or right yChange = -xChange; xChange = 0; } }else{ //turn right if(xChange == 0){ //if moving up or down xChange = -yChange; yChange = 0; }else{ //if moving left or right yChange = xChange; xChange = 0; } } plane[antY][antX] = !plane[antY][antX]; antX += xChange; antY += yChange; } return plane; } }</lang> Output (click for a larger view):
JavaScript
Utilises the HTML5 canvas element to procedurally generate the image... I wanted to see the progress of the grid state as it was generated, so this implementation produces a incrementally changing image until an 'ant' hits a cell outside of the coordinate system. It can also accept multiple ants, this adds minimal complexity with only the addition of an 'ants' array which is iterated in each step, no additional conditions are necessary to simulate multiple ants, they coexist quite well... good ants ! 1st argument is an array of ant objects, 2nd argument is an object property list of options to change grid size, pixel size and interval (animation speed).
<lang JavaScript> // create global canvas var canvas = document.createElement('canvas'); canvas.id = 'globalCanvas'; document.body.appendChild(canvas);
function langtonant(antx, optx) { 'use strict'; var x, y, i;
// extend default opts var opts = { gridsize: 100, pixlsize: 4, interval: 4 }; for (i in optx) { opts[i] = optx[i]; }
// extend default ants var ants = [{ x: 50, y: 50, d: 0 }]; for (i in antx) { ants[i] = antx[i]; }
// initialise grid var grid = []; for (x = 0; x < opts.gridsize; x ++) { grid[x] = []; for (y = 0; y < opts.gridsize; y ++) { grid[x][y] = true; } }
// initialise directions var dirs = [ {x: 1, y: 0}, {x: 0, y: -1}, {x: -1, y: 0}, {x: 0, y: 1} ];
// initialise canvas var canv = document.getElementById('globalCanvas'); var cont = canv.getContext('2d'); canv.width = opts.gridsize * opts.pixlsize; canv.height = opts.gridsize * opts.pixlsize;
// initialise pixels var pixlblac = cont.createImageData(opts.pixlsize, opts.pixlsize); for (i = 0; i < (opts.pixlsize * opts.pixlsize * 4); i += 4) { pixlblac.data[i + 3] = 255; } var pixlwhit = cont.createImageData(opts.pixlsize, opts.pixlsize); for (i = 0; i < (opts.pixlsize * opts.pixlsize * 4); i += 4) { pixlwhit.data[i + 3] = 0; }
// run simulation function simulate() { var sane = true;
// iterate over ants for (i = 0; i < ants.length; i ++) { var n = ants[i];
// invert, draw, turn if (grid[n.x][n.y]) { grid[n.x][n.y] = false; cont.putImageData(pixlblac, n.x * opts.pixlsize, n.y * opts.pixlsize); n.d --; } else { grid[n.x][n.y] = true; cont.putImageData(pixlwhit, n.x * opts.pixlsize, n.y * opts.pixlsize); n.d ++; }
// modulus wraparound n.d += dirs.length; n.d %= dirs.length;
// position + direction n.x += dirs[n.d].x; n.y += dirs[n.d].y;
// sanity check sane = (n.x < 0 || n.x > opts.gridsize || n.y < 0 || n.y > opts.gridsize) ? false : sane; }
// loop with interval if (sane) { setTimeout(simulate, opts.interval); } }
simulate(); } </lang>
Usage: default ants, custom opts
<lang JavaScript> langtonant({}, { gridsize: 100, pixlsize: 4, interval: 4 }); </lang>
- Output:
Usage: custom ants, default opts
<lang JavaScript> langtonant([ { x: (100 / 2) + 7, y: (100 / 2) + 7, d: 1 }, { x: (100 / 2) + 7, y: (100 / 2) - 7, d: 2 }, { x: (100 / 2) - 7, y: (100 / 2) - 7, d: 3 }, { x: (100 / 2) - 7, y: (100 / 2) + 7, d: 0 } ]); </lang>
- Output:
More functional approach to Javascript.
Requires lodash. Wants a canvas with id = "c"
<lang javascript> /////////////////// // LODASH IMPORT // ///////////////////
// import all lodash functions to the main namespace, but isNaN not to cause conflicts _.each(_.keys(_), k => window[k === 'isNaN' ? '_isNaN' : k] = _[k]);
const WORLD_WIDTH = 100, WORLD_HEIGHT = 100, PIXEL_SIZE = 4, DIRTY_COLOR = '#000', VIRGIN_COLOR = '#fff', RUNS = 10000, SPEED = 50,
// up right down left DIRECTIONS = [0, 1, 2, 3],
displayWorld = (world) => each(world, (row, rowidx) => {
each(row, (cell, cellidx) => {
canvas.fillStyle = cell === 1 ? DIRTY_COLOR : VIRGIN_COLOR;
canvas.fillRect(rowidx * PIXEL_SIZE, cellidx * PIXEL_SIZE, PIXEL_SIZE, PIXEL_SIZE);
});
}),
moveAnt = (world, ant) => {
world[ant.x][ant.y] = world[ant.x][ant.y] === 1 ? 0 : 1;
ant.dir = DIRECTIONS[(4 + ant.dir + (world[ant.x][ant.y] === 0 ? 1 : -1)) % 4];
switch (ant.dir) {
case DIRECTIONS[0]:
ant.y -= 1;
break;
case DIRECTIONS[1]:
ant.x -= 1;
break;
case DIRECTIONS[2]:
ant.y += 1;
break;
case DIRECTIONS[3]:
ant.x += 1;
break;
}
return [world, ant];
},
updateWorld = (world, ant, runs) => {
[world, ant] = moveAnt(world, ant); displayWorld(world);
if (runs > 0) setTimeout(partial(updateWorld, world, ant, --runs), SPEED);
},
canvas = document.getElementById('c').getContext('2d');
let world = map(range(WORLD_HEIGHT), i => map(range(WORLD_WIDTH), partial(identity, 0))), ant = {
x: WORLD_WIDTH / 2, y: WORLD_HEIGHT / 2, dir: DIRECTIONS[0]
};
canvas.canvas.width = WORLD_WIDTH * PIXEL_SIZE; canvas.canvas.height = WORLD_HEIGHT * PIXEL_SIZE;
updateWorld(world, ant, RUNS); </lang>
jq
In the following, the grid is boolean, and white is represented by true. <lang jq> def matrix(m; n; init):
if m == 0 then [range(0;n)] | map(init)
elif m > 0 then [range(0;m)][ range(0;m) ] = matrix(0;n;init)
else error("matrix\(m);_;_) invalid")
end;
def printout:
. as $grid
| ($grid|length) as $height
| ($grid[0]|length) as $width
| reduce range(0;$height) as $i ("\u001BH";
. + reduce range(0;$width) as $j ("\n";
. + if $grid[$i][$j] then " " else "#" end ) );
def langtons_ant(grid_size):
def flip(ant): # Flip the color of the current square .[ant[0]][ant[1]] = (.[ant[0]][ant[1]] | not) ;
# input/output: the ant's state: [x, y, direction]
# where direction is one of (0,1,2,3)
def move(grid):
# If the cell is black, it changes to white and the ant turns left;
# If the cell is white, it changes to black and the ant turns right;
(if grid[.[0]][.[1]] then 1 else 3 end) as $turn
| .[2] = ((.[2] + $turn) % 4)
| if .[2] == 0 then .[0] += 1
elif .[2] == 1 then .[1] += 1
elif .[2] == 2 then .[0] += -1
else .[1] += -1
end
;
# state: [ant, grid]
def iterate:
.[0] as $ant | .[1] as $grid
# exit if the ant is outside the grid
| if $ant[0] < 1 or $ant[0] > grid_size
or $ant[1] < 1 or $ant[1] > grid_size
then [ $ant, $grid ]
else
($grid | flip($ant)) as $grid
| ($ant | move($grid)) as $ant
| [$ant, $grid] | iterate
end
;
((grid_size/2) | floor | [ ., ., 0]) as $ant | matrix(grid_size; grid_size; true) as $grid | [$ant, $grid] | iterate | .[1] | printout
langtons_ant(100)</lang>
- Output:
The output is the same as for Rexx below.
Liberty BASIC
Native graphics.
<lang lb>dim arena(100,100)
black=0
white=not(black)
for i = 1 to 100
for j = 1 to 100 arena(i,j)=white next
next 'north=1 east=2 south=3 west=4
nomainwin graphicbox #1.g, 0, 0, 100, 100 open "Langton's Ant" for window as #1
- 1 "trapclose Quit"
- 1.g "down"
antX=50:antY=50 nsew=1 'ant initially points north
while (antX>0) and (antX<100) and (antY>0) and (antY<100)
if arena(antX,antY) then
nsew=nsew-1
if nsew<1 then nsew=4
else
nsew=nsew+1
if nsew>4 then nsew=1
end if
select case nsew
case 1: antY=antY-1
case 2: antX=antX+1
case 3: antY=antY+1
case 4: antX=antX-1
end select
arena(antX,antY)=not(arena(antX,antY)) #1.g "color ";GetColor$(antX,antY) #1.g "set ";antX;" ";antY
wend
- 1.g "flush"
wait
function GetColor$(x,y)
if arena(x,y) then
GetColor$="white"
else
GetColor$="black"
end if
end function
sub Quit handle$
close #handle$ end end sub </lang>
Text version. <lang lb> 'move up=1 right=2 down=3 left=4 ' --------------------------------- dim plane(100,100) x = 50: y = 50 mx = 100
while (x>0) and (x<100) and (y>0) and (y<100) if plane(x,y) then
nxt = nxt - 1 if nxt < 1 then nxt = 4 else nxt = nxt + 1 if nxt > 4 then nxt = 1
end if
x = x + (nxt = 2) - (nxt = 4) y = y + (nxt = 3) - (nxt = 1) plane(x,y) = (plane(x,y) <> 1) mx = min(x,mx) wend
for x = mx to 100
for y = 1 to 100 print chr$((plane(x,y)*3) + 32); next y print x
next x
</lang>
Locomotive Basic
<lang locobasic>10 mode 1:defint a-z:deg 20 ink 1,0:ink 0,26 30 x=50:y=50:ang=270 40 dim play(100,100) 50 graphics pen 3:move 220,100:drawr 200,0:drawr 0,200:drawr -200,0:drawr 0,-200 60 ' move ant 70 if play(x,y) then ang=ang-90 else ang=ang+90 80 play(x,y)=1-play(x,y) 90 plot 220+2*x,100+2*y,play(x,y) 100 ang=ang mod 360 110 x=x+sin(ang) 120 y=y+cos(ang) 130 if x<1 or x>100 or y<1 or y>100 then end 140 goto 70</lang>
Output:
Logo
<lang logo>make "size 100 make "white 1 make "black 2 make "sum sum :white :black make "chars [. #] make "origin quotient :size 2 make "grid mdarray (list :size :size) make "directions [ [1 0] [0 1] [-1 0] [0 -1] ]
repeat size [
local "y make "y repcount repeat size [ mdsetitem (list repcount :y) :grid :white ]
] make "x quotient :size 2 make "y quotient :size 2 make "direction sum 1 random count :directions
while [(and (:x > 0) (:x <= :size) (:y > 0) (:y <= :size))] [
local "color
make "color mditem (list :x :y) :grid
local "delta
ifelse [equal? :color :white] [
make "delta 1
] [
make "delta -1
]
make "direction sum 1 (modulo (:direction + :delta - 1) count :directions)
make "dir (item :direction :directions)
mdsetitem (list :x :y) :grid (sum :sum minus :color)
make "x sum :x first :dir
make "y sum :y last :dir
]
repeat size [
local "y local "blank make "y repcount make "blank "true repeat size [if ( (mditem (list repcount :y) :grid) = :black ) [make "blank "false]]
if [not :blank] [
repeat size [
type item (mditem (list repcount :y) :grid) :chars
]
print []
]
] bye</lang>
- Output:
...............................................................................................##... ..............................................................................................####.. .............................................................................................#.##.#. ............................................................................................##.####. ...........................................................................................#.#.#.#.# ..........................................................................................##..#.###. .............................##..........................................................#.#..###..# ......................##......##........................................................##..#...###. .....................#..#..#.##.#......................................................#.#..###..#.. ....................###..###.#..#.....................................................##..#...###... ....................#.####..##.#.....................................................#.#..###..#.... ............................##......................................................##..#...###..... ......................##.##.##.....................................................#.#..###..#...... ......................####..#.##.#................................................##..#...###....... ......................#####.##.###.##....##....##................................#.#..###..#........ .......................#..#.#.##.#..##....####..##..............................##..#...###......... ........................####.###.####....####..##.#............................#.#..###..#.......... ........................###.#...#....##..##.......#...##......................##..#...###........... .........................####.##...##..##..#......#..#..#....................#.#..###..#............ .........................#.##..#..#...##.##.......#...#..#..................##..#...###............. .........................#.####..##.#.#.########.#....#..#.................#.#..###..#.............. .........................##..##..#..##.#.#.##.##....#.#.#.##..##..........##..#...###............... .........................#.#..#..#..#.#....#...#.##...##..#.#####........#.#..###..#................ ...........................##.####.##...#..####...#..#...##...##.#......##..#...###................. .......................##...##########...##.#####..#.####...#....#.....#.#..###..#.................. .......................#..#..#.##..#..#...#.#..##.#####.##.#.....#....##..#...###................... .......................#...##....#.##..#.#.....#####.#.#####.....#...#.#..###..#.................... ......................#...##...###.###....#.#.##.#.##.######.#..#...##..#...###..................... ......................#.####..##.#..#...###.###.##.##...##.#..##...#.#..###..#...................... .......................##..#....##..#..#########..##..####.#......##..#...###....................... .......................#....#....#..####..#.###########..##...#..#.#..###..#........................ ......................#......#...####.####.......##...#.##..###.##..#...###......................... ......................#...#....#.#.#...##......##.#.#.###.#..#.#.#..###..#.......................... .......................#...##.####..####.#####..##..##.#.##.#.....#...###........................... ........................##..#..#.##.###......#..###.#..#....##.#..###..#............................ ..........................#.....#..###.##.#..##.####.#.#..#.#...#...###............................. .........................#...####.##..#....#..###...##.##...##..###..#.............................. .........................#.##..##.###...#.....##..#..###.##.#.#...###............................... ..........................##.....#.##.....##..#...##.##.........#..#................................ ...........................##.#....####..#.#...#...###.##.#...#.#................................... .............................##.###.#####...#.##.##.##.#.#.##.#.###.#............................... ............................#...#.###.#.######.##.##..####.#...##.###............................... ............................#.#.#.###...#..####..#.#.#####...#.....#................................ .............................###...###.....#.#.###..##.#..##.###.#.................................. ..............................##..##.#..#.#...##.####.##..###..#.#.................................. ..................................###..##.##.....#.....#...#..#.###................................. ..................................#.......###.........#.#.##..##.................................... ....................................#....#..#.........#..#.#........................................ ....................................#.##............##...###........................................ .....................................##..#..........####..#......................................... ......................................##..############..##..........................................
LOLCODE
<lang LOLCODE>HAI 1.3
I HAS A plane ITZ A BUKKIT IM IN YR init UPPIN YR i TIL BOTH SAEM i AN 10000
plane HAS A SRS i ITZ FAIL
IM OUTTA YR init
I HAS A x ITZ 50, I HAS A y ITZ 50 I HAS A dir ITZ 0, I HAS A pos, I HAS A cell
BTW, WE PURRTIND WE HAS A 2D STRUKSHUR FUR EZ AKSESS IM IN YR walker
pos R SUM OF PRODUKT OF y AN 100 AN x cell R NOT plane'Z SRS pos plane'Z SRS pos R cell dir R MOD OF SUM OF dir AN SUM OF 5 AN PRODUKT OF cell AN 2 AN 4
dir, WTF? OMG 0, x R SUM OF x AN 1, GTFO OMG 1, y R DIFF OF y AN 1, GTFO OMG 2, x R DIFF OF x AN 1, GTFO OMG 3, y R SUM OF y AN 1, GTFO OIC
BTW, CHEKIN TEH ANTZ BOUNDZ WON OF BOTH SAEM x AN -1 AN BOTH SAEM x AN 100, O RLY?, YA RLY, GTFO, OIC WON OF BOTH SAEM y AN -1 AN BOTH SAEM y AN 100, O RLY?, YA RLY, GTFO, OIC
IM OUTTA YR walker
IM IN YR printer UPPIN YR cell TIL BOTH SAEM cell AN 10000
plane'Z SRS cell, O RLY?
YA RLY, VISIBLE "#"!
NO WAI, VISIBLE "."!
OIC
NOT MOD OF SUM OF cell AN 1 AN 100, O RLY?, YA RLY, VISIBLE "", OIC
IM OUTTA YR printer BTW, UR OUTTA CYAN
KTHXBYE</lang>
Lua
For this example, the lua Socket and Curses modules and a terminal with enough lines are needed. <lang LUA>local socket = require 'socket' -- needed for socket.sleep local curses = require 'curses' -- used for graphics
local naptime = 0.02 -- seconds local world_x, world_y = 100, 100
local world = (function (x, y) local wrl = {} for i = 1, y do wrl[i] = {} for j = 1, x do wrl[i][j] = 0 end end return wrl end)(world_x, world_y)
-- directions: 0 up, clockwise local ant = { x = math.floor(world_x / 2), y = math.floor(world_y / 2), dir = 0, step = function(self) if self.dir == 0 then self.y = self.y - 1 elseif self.dir == 1 then self.x = self.x + 1 elseif self.dir == 2 then self.y = self.y + 1 else self.x = self.x - 1 end end }
world.step = function (self, ant) if self[ant.y][ant.x] == 0 then -- white -- change cell color self[ant.y][ant.x] = 1 -- change dir ant.dir = (ant.dir + 1) % 4 ant:step() -- boundary conditions if ant.x < 1 then ant.x = world_x elseif ant.x > world_x then ant.x = 1 end if ant.y < 1 then ant.y = world_y elseif ant.y > world_y then ant.y = 1 end else -- change cell color self[ant.y][ant.x] = 0 -- change dir ant.dir = (ant.dir - 1) % 4 ant:step() -- boundary conditions if ant.x < 1 then ant.x = world_x elseif ant.x > world_x then ant.x = 1 end if ant.y < 1 then ant.y = world_y elseif ant.y > world_y then ant.y = 1 end end end
world.draw = function (self, ant) for i = 1, #self do for j = 1, #self[i] do if i == ant.y and j == ant.x then win:attron(curses.color_pair(3)) win:mvaddch(i,j,"A") --win:attroff(curses.color_pair(3)) elseif self[i][j] == 0 then win:attron(curses.color_pair(1)) win:mvaddch(i,j," ") --win:attroff(curses.color_pair(1)) elseif self[i][j] == 1 then win:attron(curses.color_pair(2)) win:mvaddch(i,j," ") --win:attroff(curses.color_pair(2)) else error("self[" .. i .. "][" .. j .. "] is " .. self[i][j] .. "!") end end end end
local it = 1 curses.initscr() curses.start_color() curses.echo(false) curses.init_pair(1, curses.COLOR_WHITE, curses.COLOR_WHITE) curses.init_pair(2, curses.COLOR_BLACK, curses.COLOR_BLACK) curses.init_pair(3, curses.COLOR_RED, curses.COLOR_WHITE) curses.init_pair(4, curses.COLOR_WHITE, curses.COLOR_BLACK) win = curses.newwin(world_y + 1, world_x, 0, 0) win:clear() repeat world:draw(ant) win:move(world_y, 0) win:clrtoeol() win:attron(curses.color_pair(4)) win:addstr("Iteration: " .. it .. ", nap = " .. naptime*1000 .. "ms") win:refresh() world:step(ant) it = it + 1 --local c = stdscr:getch() --if c == '+' then naptime = naptime - (naptime / 10) --elseif c == '-' then naptime = naptime + (naptime / 10) --end socket.sleep(naptime) until false </lang>
MATLAB / Octave
<lang MATLAB>function u = langton_ant(n) if nargin<1, n=100; end; A = sparse(n,n); % white P = [n/2;n/2]; % Positon D = 3; % index of direction 0-3 T = [1,0,-1,0;0,1,0,-1]; % 4 directions k = 0; while (1) k = k+1; a = A(P(1),P(2)); A(P(1),P(2)) = ~a; if ( a ) D = mod(D+1,4); else D = mod(D-1,4); end; P = P+T(:,D+1);
if (~mod(k,100)),spy(A);pause(.1);end; %display after every 100 interations end; end</lang>
Mathematica
<lang mathematica>direction = 1; data = SparseArray[{{50, 50} -> -1}, {100, 100}, 1]; NestWhile[
{Re@#, Im@#} &@(direction *= (dataSequence @@ # *= -1) I) + # &,
{50, 50}, 1 <= Min@# <= Max@# <= 100 &];
Image@data</lang>
Nim
<lang nim>import strutils, sequtils
type
Direction = enum up, right, down, left Color = enum white, black
const
width = 75 height = 52 maxSteps = 12_000
var
m: array[height, array[width, Color]] dir = up x = width div 2 y = height div 2
var i = 0 while i < maxSteps and x in 0 .. < width and y in 0 .. < height:
let turn = m[y][x] == black m[y][x] = if m[y][x] == black: white else: black
dir = Direction((4 + int(dir) + (if turn: 1 else: -1)) mod 4) case dir of up: dec y of right: dec x of down: inc y of left: inc x
inc i
for row in m:
echo map(row, proc(x: Color): string =
if x == white: "." else: "#").join("")</lang>
OCaml
<lang ocaml>open Graphics
type dir = North | East | South | West
let turn_left = function
| North -> West | East -> North | South -> East | West -> South
let turn_right = function
| North -> East | East -> South | South -> West | West -> North
let move (x, y) = function
| North -> x, y + 1 | East -> x + 1, y | South -> x, y - 1 | West -> x - 1, y
let () =
open_graph ""; let rec loop (x, y as pos) dir = let color = point_color x y in set_color (if color = white then black else white); plot x y; let dir = (if color = white then turn_right else turn_left) dir in if not(key_pressed()) then loop (move pos dir) dir in loop (size_x()/2, size_y()/2) North</lang>
Run with:
$ ocaml graphics.cma langton.ml
PARI/GP
<lang parigp>langton()={
my(M=matrix(100,100),x=50,y=50,d=0); while(x && y && x<=100 && y<=100, d=(d+if(M[x,y],1,-1))%4; M[x,y]=!M[x,y]; if(d%2,x+=d-2,y+=d-1); ); M
}; show(M)={
my(d=sum(i=1,#M[,1],sum(j=1,#M,M[i,j])),u=vector(d),v=u,t); for(i=1,#M[,1],for(j=1,#M,if(M[i,j],v[t++]=i;u[t]=j))); plothraw(u,v)
}; show(langton())</lang>
Pascal
Pascal does not offer complex number arithmetic, so adjusting directions via multiplication of ±i is out. Similarly, it does not offer array manipulation statements, so Cell:=White; must be achieved via explicit for-loops with explicitly stated indices and bounds, and the adjustment of the (x,y) position by (dx,dy) can't be done by array addition. Otherwise, matters are straightforward, so instead this version tries to animate the ant on the screen. Alas, the maximum screen size is 80 characters by 50 lines, except that output to the last line causes a screen scroll so that only 49 lines are available. Alas, this cell array is too small and the bounds are exceeded in step 5,156 - before the ant starts its migration.
The animation shows the arrival at a cell with a yellow arrow pointing in the arrival direction. The cell state is investigated to decide the new direction (which is shown as a green arrow), the current cell's state is flipped, and the move to the new cell position is made. To show these events, the programme waits for a keystroke but if the S key is pressed, full speed results. Each stepwise ant move thus requires two keystrokes (one for each of the two directions being shown) however a quirk of Pascal's processing of keyboard symbols has certain keystrokes represented via two values from ReadKey, so pressing the arrow keys for example provides a doubled advance.
Except, the green arrow on step 4 does not appear!
<lang Pascal> {$B- Early and safe resolution of If x <> 0 and 1/x...} Program LangtonsAnt; Uses CRT; {Perpetrated by R.N.McLean (whom God preserve), Victoria University, December MMXV.}
Var AsItWas: record mode: word; ta: word; end; Var LastLine,LastCol: byte;
Procedure Swap(var a,b: integer); {Oh for a compiler-recognised statement.}
var t: integer; {Such as A=:=B;}
Begin
t:=a; a:=b; b:=t;
End;
var Stepwise: boolean;
Var Cell: Array[1..80,1..50] of byte; {The screen is of limited size, alas.}
Var x,y,Step: integer; {In the absence of complex numbers,}
Var dx,dy: integer; {And also of array action statements.}
Procedure Croak(Gasp: string); {Exit message...}
Begin
GoToXY(1,12); TextColor(Yellow); {Reserve line twelve.}
WriteLn(Gasp,' on step ',Step,' to (',x,',',y,')');
HALT;
End;
Procedure Harken; {Waits for a keystroke.}
var ch: char; {The character. Should really be 16-bit.}
Begin
ch:=ReadKey; {Fancy keys evoke double characters. I don't care.}
if (ch = 'S') or (ch = 's') then Stepwise:=not Stepwise {Quick, slow, quick, quick, slow...}
else if ch = #27 then Croak('ESC!'); {Or perhaps, enough already!}
End; {Fancy keys will give a twostep.}
Procedure Waitabit; {Slows the action.}
Begin
if Stepwise or KeyPressed then Harken; {Perhaps a change while on the run.}
End; {of Waitabit.}
Procedure Turn(way:integer); {(dx,dy)*(0,w) = (-w*dy,+w*dx)}
Begin
Swap(dx,dy); {In the absence of complex arithmetic,}
dx:=-way*dx; dy:=way*dy; {Do this in two stages.}
End;
const Arrow: array[-1..+1,-1..+1] of integer {Only four entries are of interest.}
= ((1,27,3),(25,5,24),(7,26,9)); {For the four arrow symbols.}
Procedure ShowDirection(Enter,How: byte); {Show one.}
Begin
GoToXY(x,LastLine - y + 1); {(x,y) position, in Cartesian style.}
TextBackground(Enter); {The value in Cell[x,y] may have been changed.}
TextColor(How);
Writeln(chr(Arrow[dx,dy])); {Not an ASCII control character, but an arrow symbol.}
Waitabit; {Having gone to all this trouble.}
End;
Procedure ShowState; {Special usage for line two of the screen.}
Begin
GoToXY(1,2); TextBackground(LightGray); TextColor(Black);
Write(Step:5,' (',x:2,',',y:2,') ');
TextColor(Yellow); {Yellow indicates the direction in mind.}
Write(chr(Arrow[dx,dy])); {On *arrival* at a position.}
End;
Var i,j: integer; {Steppers. No whole-array assault as in Cell:=LightGray;}
var Enter: byte; {Needed to remember the cell state on arrival.}
BEGIN
AsItWas.mode:=LastMode; {Grr. I might want to save the display content too!}
AsItWas.ta:=TextAttr; {Not just its colour and style.}
TextMode(C80+Font8x8); {Crazed gibberish gives less unsquare character cells, and 80x50 of them.}
LastLine:=Hi(WindMax); { + 1 omitted, as a write to the last line scrolls the screen up one...}
LastCol:=Lo(WindMax) + 1; {Counting starts at zero, even though GoToXY starts with one.}
x:=LastCol div 2; {Start somewhere middleish.}
y:=LastLine div 2; {Consider (x,y) as being (0,0) for axes.}
dx:=+1; dy:=0; {Initial direction.}
TextBackground(LightGray); {"White" is not valid for background colour.}
TextColor(Black); {This will show up on a light background.}
ClrScr; {Here we go.}
WriteLn('Langtons Ant, on x = 1:',LastCol,', y = 1:',LastLine);
ShowState; {Where we start.}
WriteLn; TextColor(Black);
WriteLn('Press a key for each step.'); {Some encouragement.}
WriteLn('"S" to pause each step or not.');
WriteLn('ESC to quit.');
for i:=1 to LastLine do begin GoToXY(x,i); Write('|'); end; {Draw a y-axis.}
for i:=1 to LastCol do begin GoToXY(i,LastLine - y + 1); Write('-'); end; {And x.}
gotoxy(1,6); {Can't silence the cursor!}
for i:=1 to LastCol do {Prepare the cells.}
for j:=1 to LastLine do {One by one.}
Cell[i,j]:=LightGray; {Cell:=LightGray. Sigh.}
Stepwise:=true; {The action is of interest.}
for Step:=1 to 12000 do {Here we go.}
if (x <= 0) or (x > LastCol) or (y <= 0) or (y > LastCol) then Croak('Out of bounds')
else {We're in a cell.}
begin {So, inspect it.}
if Stepwise or (Step mod 10 = 0) then ShowState {On arrival.}
else if KeyPressed then Harken; {If we're not pausing, check for a key poke.}
Enter:=cell[x,y]; {This is what awaits the feet.}
if Stepwise then ShowDirection(Enter,Yellow); {Current direction, about to be changed.}
case cell[x,y] of {So, what to do?}
LightGray: begin Cell[x,y]:=Black; Turn(-1); end;{White. Make black and turn right.}
Black: begin Cell[x,y]:=LightGray; Turn(+1); end;{Black. Make white and turn left.}
end; {Having decided,}
if Stepwise then ShowDirection(Enter,Green); {Show the direction about to be stepped.}
GoToXY(x,LastLine - y + 1); {Screen location (column,line) for (x,y)}
TextBackground(Cell[x,y]); {Change the state I'm about to leave.}
Write(' '); {Foreground colour irrelevant for spaces.}
x:=x + dx; y:=y + dy; {Make the step!}
end; {On to consider our new position.}
Croak('Finished'); {That was fun.}
END.
</lang>
Perl
<lang perl>#!/usr/bin/perl use strict;
- Perl 5 implementation of Langton's Ant
- Using screen coordinates - 0,0 in upper-left, +X right, +Y down -
- these directions (right, up, left, down) are counterclockwise
- so advance through the array to turn left, retreat to turn right
my @dirs = ( [1,0], [0,-1], [-1,0], [0,1] ); my $size = 100;
- we treat any false as white and true as black, so undef is fine for initial all-white grid
my @plane; for (0..$size-1) { $plane[$_] = [] };
- start out in approximate middle
my ($x, $y) = ($size/2, $size/2);
- pointing in a random direction
my $dir = int rand @dirs;
my $move; for ($move = 0; $x >= 0 && $x < $size && $y >= 0 && $y < $size; $move++) {
# toggle cell's value (white->black or black->white)
if ($plane[$x][$y] = 1 - ($plane[$x][$y] ||= 0)) {
# if it's now true (black), then it was white, so turn right
$dir = ($dir - 1) % @dirs;
} else {
# otherwise it was black, so turn left
$dir = ($dir + 1) % @dirs;
}
$x += $dirs[$dir][0];
$y += $dirs[$dir][1];
}
print "Out of bounds after $move moves at ($x, $y)\n"; for (my $y=0; $y<$size; ++$y) {
for (my $x=0; $x<$size; ++$x) {
print $plane[$x][$y] ? '#' : '.';
}
print "\n";
}</lang>
Perl 6
In this version we use 4-bits-per-char graphics to shrink the output to a quarter the area of ASCII graphics. <lang perl6>constant @vecs = [1,0,1], [0,-1,1], [-1,0,1], [0,1,1]; constant @blocky = ' ▘▝▀▖▌▞▛▗▚▐▜▄▙▟█'.comb; constant $size = 100; enum Square <White Black>; my @plane = [White xx $size] xx $size; my ($x, $y) = $size/2, $size/2; my $dir = @vecs.keys.pick; my $moves = 0; loop {
given @plane[$x][$y] {
when :!defined { last }
when White { $dir--; $_ = Black; }
when Black { $dir++; $_ = White; }
}
($x,$y,$moves) »+=« @vecs[$dir %= @vecs];
} say "Out of bounds after $moves moves at ($x, $y)"; for 0,2,4 ... $size - 2 -> $y {
say join , gather for 0,2,4 ... $size - 2 -> $x {
take @blocky[ 1 * @plane[$x][$y]
+ 2 * @plane[$x][$y+1]
+ 4 * @plane[$x+1][$y]
+ 8 * @plane[$x+1][$y+1] ];
}
}</lang>
- Output:
Out of bounds after 11669 moves at (-1, 26)
▄▚▚
▟▟▜▟▚
▜▀▚▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚
▜▘▗▌▟▚ ▄
▜▘▗▌▟▘▟▘▗
▞▀▚ ▜▘▗▌▄▙▝▜
▐█ ▌▄▘▘▗▗▞▐▚▌
▌▖▝ ▐▚▙▙ ▖▀▖
▐▄▝█▀▖▄▗▗▗▀▐▛▛▙
▞▚▝▟██▜▞ ▞▗▜▌ ▞▘▌
▐▗▄▌▙▜▐▄▛▀▜▞▜▛▛▄▐
▘▗▝▜▚▖▌▟▞▛▜▌▜▖ █▌
▄▄ ▄▜▛▜▙▖▟▗▛▟▘▌ ▌
▟▖ ▘▘▄▛▌▛▟█▖ ▚▜▀ ▌
▘▘ █▚▛▜▟▌▘▗█▞▛▞▌ ▌
▐▖ ▙▐▙▗█▌▐▀ ▟▛ ▄ ▌
▟▙▚▛▀▄▗▟▖▐▗▘▛▐▀▟▌ ▌
▘▀▞▛▗▘▘█▐▞▗▗▝▟▖▄▝▝
▗▜▞▖▗▘▝█▜▞▖▗▙ ▝ ▙▌
▟▞▖▟▄▌▟▄▙▐█▗▟▙▟▚▗▞
▘▌▚▖▝▛▀ ▐▘▞█▀▟▛█▖
▄ ▝▛▚ ▀▜▙▜▜▀▜▚▄▘▙▖
▟▖▘▐▜▌▛▄▟▛▝▌ ▜▘▛▗▖▟▌
▘▀█▙▙▚▄▛▗▛▖ ▞▗▖▚▗▚▞
▜ ▖▄▙▛▚▀▗▜▛ ▞▗▝▛
▞▌▜▌█▀▀▘▖ ▙ ▌▀
▐▗▌█▛ ▀▚▞▚▞
▜▖
Phix
<lang Phix>sequence grid = repeat(repeat(' ',100),100) integer aX = 50, aY = 50,
gXY, angle = 1 -- ' '/'#'; 0,1,2,3 = NESW
constant dX = {0,-1,0,1} -- (dY = reverse(dX))
while aX>=1 and aX<=100
and aY>=1 and aY<=100 do gXY = grid[aX][aY] grid[aX][aY] = 67-gXY -- ' '<=>'#', aka 32<->35 angle = mod(angle+2*gXY+3,4) -- +/-1, ie 0,1,2,3 -> 1,2,3,0 or 3,0,1,2 aX += dX[angle+1] aY += dX[4-angle]
end while
puts(1,join(grid,"\n"))</lang>
- Output:
## ############ ##
# #### # ##
### ## ## #
# # # # # #
## ## # # ### #
### # # # # ## ## ###
# # ### ## #### ## # # # ## ##
# ### ## # ## ### # # ### ###
# # ##### # # #### # ### # # #
### ## # #### ## ## ###### # ### # #
# ### # ## # # ## ## ## # ##### ### ##
# # # ## ### # # # #### # ##
# # ## ## # ## ## # ##
### # # ## ### # ## # ### ## ## #
# ### ## ## ## ### # # ## #### #
### # # # # # #### ## # ## ### # #
# ### # ## # # ### # ### ## # # ##
### # # ## # ## ## ##### #### #### ## #
# ### # # # # ### # # ## ## # # # # #
### # ## ### ## # ## #### #### # #
# ### # # # ## ########### # #### # # #
### # ## # #### ## ######### # ## # ##
# ### # # ## # ## ## ## ### ### # # ## #### #
### # ## # # ###### ## # ## # # ### ### ## #
# ### # # # ##### # ##### # # ## # ## #
### # ## # # ## ##### ## # # # # ## # # #
# ### # # # # #### # ##### ## ########## ##
### # ## # ## ## # # #### # ## #### ##
# ### # # ##### # ## ## # # # # # # # #
### # ## ## ## # # # ## ## # # ## # ## ##
# ### # # # # # ######## # # ## #### #
### # ## # # # ## ## # # ## #
# ### # # # # # # ## ## ## ####
### # ## ## # ## ## # # ###
# ### # # # ## #### #### ### ####
### # ## ## #### ## # ## # # #
# ### # # ## ## ## ### ## #####
### # ## # ## # ####
# ### # # ## ## ##
### # ## ##
# ### # # # ## #### #
### # ## # # ### ###
# ### # # # ## # # #
### # ## ## ##
## # # ##
## # ##
# # # #
#### ##
# ## #
####
##
PHP
This is an implementation of Langton`s Ant in PHP
(The TEXT TO IMAGE - part is obviously not necessary.
Additionally the x and y startpositions could be set
to the halves of width and height.)
<lang php>
// INIT AND DEFINITION
define('dest_name', 'output.png'); // destination image
define('width', 100);
define('height', 100);
$x = 50; $y = 70; $dir = 0; // 0-up, 1-left, 2-down, 3-right $field = array(); $step_count = 0;
// LANGTON´S ANT PROCEDURE while(0 <= $x && $x <= width && 0 <= $y && $y <= height){ if(isset($field[$x][$y])){ unset($field[$x][$y]); $dir = ($dir + 3) % 4; }else{ $field[$x][$y] = true; $dir = ($dir + 1) % 4; } switch($dir){ case 0: $y++; break; case 1: $x--; break; case 2: $y--; break; case 3: $x++; break; } $step_count++; } // ARRAY TO IMAGE $img = imagecreatetruecolor(width, height); $white = imagecolorallocate($img, 255, 255, 255); for($x = 0; $x < width; $x++){ for($y = 0; $y < height; $y++){ if(isset($field[$x][$y])){ imagesetpixel($img, $x, $y, $white); } } } // TEXT TO IMAGE $color = array(); $color[0] = imagecolorallocate($img, 255, 0, 0); $color[1] = imagecolorallocate($img, 0, 255, 0); $color[2] = imagecolorallocate($img, 0, 0, 255); $print_array = array( 0 => 'Langton`s Ant', 1=>'PHP Version', 2=>'Steps: ' . $step_count ); foreach($print_array as $key => $line){ imagestring($img, 3, 3, 3 + $key*11, $line, $color[$key]); } // SAVE IMAGE imagepng($img, dest_name); </lang>
PicoLisp
This code pipes a PBM into ImageMagick's "display" to show the result: <lang PicoLisp>(de ant (Width Height X Y)
(let (Field (make (do Height (link (need Width)))) Dir 0)
(until (or (le0 X) (le0 Y) (> X Width) (> Y Height))
(let Cell (nth Field X Y)
(setq Dir (% (+ (if (car Cell) 1 3) Dir) 4))
(set Cell (not (car Cell)))
(case Dir
(0 (inc 'X))
(1 (inc 'Y))
(2 (dec 'X))
(3 (dec 'Y)) ) ) )
(prinl "P1")
(prinl Width " " Height)
(for Row Field
(prinl (mapcar '[(X) (if X 1 0)] Row)) ) ) )
(out '(display -) (ant 100 100 50 50)) (bye) </lang>
Processing
Processing implementation, this uses two notable features of Processing, first of all, the animation is calculated with the draw() loop, second the drawing on the screen is also used to represent the actual state. <lang processing>/*
* we use the following conventions: * directions 0: up, 1: left, 2: down: 3: right * * pixel white: true, black: false * * turn right: true, left: false * */
// number of iteration steps per frame // set this to 1 to see a slow animation of each // step or to 10 or 100 for a faster animation
final int STEP=100;
int x; int y; int direction;
void setup() {
// 100x100 is large enough to show the // corridor after about 10000 cycles size(100, 100, P2D);
background(#ffffff);
x=width/2; y=height/2;
direction=0;
}
int count=0;
void draw() {
for(int i=0;i<STEP;i++) {
count++;
boolean pix=get(x,y)!=-1; //white =-1
setBool(x,y,pix);
turn(pix);
move();
if(x<0||y<0||x>=width||y>=height) {
println("finished");
noLoop();
break;
}
}
if(count%1000==0) {
println("iteration "+count);
}
}
void move() {
switch(direction) {
case 0:
y--;
break;
case 1:
x--;
break;
case 2:
y++;
break;
case 3:
x++;
break;
}
}
void turn(boolean rightleft) {
direction+=rightleft?1:-1; if(direction==-1) direction=3; if(direction==4) direction=0;
}
void setBool(int x, int y, boolean white) {
set(x,y,white?#ffffff:#000000);
}</lang>
Prolog
This sort of problem, when stated in Prolog, reads a bit like a story book. Our main goal (go) succeeds if we can move north from the middle of the 100x100 matrix, and update_win- which outputs the black/1 blocks. The move/3 and direction/3 goals are really quite self explanatory, mirroring the instructions for the task.
<lang prolog>%_______________________________________________________________ % Langtons ant.
- -dynamic
black/1.
plot_point(Row, Col) :- % Output a 5x5 black box at R,C new(C, box(5,5)), X is Col * 5 - 2, Y is Row * 5 - 2, send(C, colour, colour(black)), send(C, fill_pattern, colour(blue)), send(C, center(point(X,Y))), send(@win, display, C). update_win :- % Make a 500x500 window, find all the black points and plot them new(@win, window('Langtons Ant')), send(@win, size, size(500,500)), send(@win, open), black(Row/Col),plot_point(Row,Col),fail. update_win.
direction(Row, Col, left) :- black(Row/Col), !, retract(black(Row/Col)). direction(Row, Col, right):- not(black(Row/Col)), !, assert(black(Row/Col)).
move(_, Row,Col) :- (Row < 0; Col < 0; Row > 99; Col > 99), !. move(north,Row,Col) :- (direction(Row,Col,left), C is Col - 1, !, move(west, Row, C)); (direction(Row,Col,right), C is Col + 1, !, move(east, Row, C)). move(south,Row,Col) :- (direction(Row,Col,right), C is Col - 1, !, move(west, Row, C)); (direction(Row,Col,left), C is Col + 1, !, move(east, Row, C)). move(east,Row,Col) :- (direction(Row,Col,right), R is Row + 1, !, move(south, R, Col)); (direction(Row,Col,left), R is Row - 1, !, move(north, R, Col)). move(west,Row,Col) :- (direction(Row,Col,left), R is Row + 1, !, move(south, R, Col)); (direction(Row,Col,right), R is Row - 1, !, move(north, R, Col)).
go :- retractall(black(_)), move(north,49,49), update_win.</lang>
PureBasic
<lang purebasic>#White = $FFFFFF
- Black = 0
- planeHeight = 100
- planeWidth = 100
- canvasID = 0
- windowID = 0
OpenWindow(#windowID, 0, 0, 150, 150, "Langton's ant", #PB_Window_SystemMenu | #PB_Window_ScreenCentered) CanvasGadget(#canvasID, 25, 25, #planeWidth, #planeHeight) StartDrawing(CanvasOutput(#canvasID))
Box(0, 0, #planeWidth, #planeHeight, #White)
StopDrawing()
Define event, quit, ant.POINT, antDirection, antSteps
ant\x = #planeHeight / 2 ant\y = #planeWidth / 2 Repeat
Repeat
event = WindowEvent()
If event = #PB_Event_CloseWindow
quit = 1
event = 0
EndIf
Until event = 0
StartDrawing(CanvasOutput(#canvasID))
Select Point(ant\x, ant\y)
Case #Black
Plot(ant\x, ant\y, #White)
antDirection = (antDirection + 1) % 4 ;turn left
Case #White
Plot(ant\x, ant\y, #Black)
antDirection = (antDirection - 1 + 4) % 4 ;turn right
EndSelect
StopDrawing()
Select antDirection
Case 0 ;up
ant\y - 1
Case 1 ;left
ant\x - 1
Case 2 ;down
ant\y + 1
Case 3 ;right
ant\x + 1
EndSelect
antSteps + 1
If ant\x < 0 Or ant\x >= #planeWidth Or ant\y < 0 Or ant\y >= #planeHeight
MessageRequester("Langton's ant status", "Out of bounds after " + Str(antSteps) + " steps.")
quit = 1
EndIf
Delay(10) ;control animation speed and avoid hogging CPU
Until quit = 1</lang> Sample output:
Out of bounds after 11669 steps.
Python
<lang python>width = 75 height = 52 nsteps = 12000
class Dir: up, right, down, left = range(4) class Turn: left, right = False, True class Color: white, black = '.', '#' M = [[Color.white] * width for _ in range(height)]
x = width // 2 y = height // 2 dir = Dir.up
i = 0 while i < nsteps and 0 <= x < width and 0 <= y < height:
turn = Turn.left if M[y][x] == Color.black else Turn.right M[y][x] = Color.white if M[y][x] == Color.black else Color.black
dir = (4 + dir + (1 if turn else -1)) % 4 dir = [Dir.up, Dir.right, Dir.down, Dir.left][dir] if dir == Dir.up: y -= 1 elif dir == Dir.right: x -= 1 elif dir == Dir.down: y += 1 elif dir == Dir.left: x += 1 else: assert False i += 1
print ("\n".join("".join(row) for row in M))</lang> The output is the same as the basic D version.
R
<lang R> langton.ant = function(n = 100) { map = matrix(data = 0, nrow = n, ncol = n) p = floor(c(n/2, n/2)) d = sample(1:4, 1) i = 1 while(p[1] > 0 & p[1] <= n & p[2] > 0 & p[2] <= n) { if(map[p[1], p[2]] == 1) { map[p[1], p[2]] = 0 p = p + switch(d, c(0, 1), c(-1, 0), c(0, -1), c(1, 0)) d = ifelse(d == 4, 1, d + 1) } else { map[p[1], p[2]] = 1 p = p + switch(d, c(0, -1), c(1, 0), c(0, 1), c(-1, 0)) d = ifelse(d == 1, 4, d - 1) } } return(map) }
image(langton.ant(), xaxt = "n", yaxt = "n", bty = "n") </lang>
Racket
This Racket program attempts to avoid mutation.
<lang racket>#lang racket
- contracts allow us to describe expected behaviour of funcitons
(define direction/c (or/c 'u 'r 'l 'd)) (define turn/c (-> direction/c direction/c)) (define grid/c (hash/c integer? (hash/c integer? boolean?))) (define-struct/contract ant ([d direction/c] [x integer?] [y integer?]))
(define/contract (turn-right dir) turn/c
(case dir ((u) 'r) ((d) 'l) ((r) 'd) ((l) 'u)))
(define/contract (turn-left dir) turn/c
(case dir ((u) 'l) ((d) 'r) ((r) 'u) ((l) 'd)))
(define/contract (move d x y)
(-> direction/c integer? integer? (list/c direction/c integer? integer?)) (list d (+ x (case d ((l) -1) ((r) 1) (else 0))) (+ y (case d ((u) -1) ((d) 1) (else 0)))))
(define/contract (move-ant d a) (-> direction/c ant? ant?)
(apply make-ant (move d (ant-x a) (ant-y a))))
(define/contract (langton a grid) (-> ant? grid/c grid/c)
(let ((ax (ant-x a)) (ay (ant-y a)))
(if (and (<= 1 ax 100) (<= 1 ay 100))
(let* ((grid-row (hash-ref grid ay hash))
(cell-black? (hash-ref grid-row ax #f)))
(langton
(move-ant ((if cell-black? turn-left turn-right) (ant-d a)) a)
(hash-set grid ay (hash-set grid-row ax (not cell-black?)))))
grid)))
(define/contract (show-grid/text grid) (-> grid/c void?)
(for* ; for* allows us to refer to y in rw
((y (in-range 1 101))
(rw (in-value (hash-ref grid y #f)))
#:when rw ; if there is no row, the ant never visisted it
#:when (newline) ; when can be used simply for its side effect
(x (in-range 1 101)))
(case (hash-ref rw x #\?)
((#\?) (display #\space)) ; distingush between "ant-visited white" vs. pure white
((#f) (display #\:)) ; little anty footprints left
((#t) (display #\#)))))
(show-grid/text (langton (make-ant 'u 50 50) (hash)))
(require 2htdp/image) (define/contract (show-grid/png grid) (-> grid/c image?)
(for*/fold
((scn (empty-scene 408 408)))
((y (in-range 1 101))
(rw (in-value (hash-ref grid y #f)))
#:when rw ; if there is no row, the ant never visisted it
(x (in-range 1 101)))
(case (hash-ref rw x #\?)
((#\?) scn) ; distingush between "ant-visited white" vs. pure white
((#f) (place-image (circle 2 "outline" "gray") (* x 4) (* y 4) scn)) ; little anty footprints left
((#t) (place-image (circle 2 "solid" "black") (* x 4) (* y 4) scn)))))
(show-grid/png (langton (make-ant 'u 50 50) (hash))) </lang> Output (text):
## ############ ##
#::####::::::::::# :##
###:::##::::::::::::##:#
#:#::#:::::::::#::#::::#
## ##:#:#:::::::::###:::::::#
###:#::#:::#:::::#:::::##:##::###
:#:#::###::##:####:##:::#:#::#:## ##
:#:###:##: #:##::###:#:#:::::###:::###
#:::::#:::#####:#:#::####::#:::###:#:#:#
###:##:::#:####::##:##:######:#:###:#:::#
#:###:#:##:#:#:##:##:##:#:::#####:###:##
::#:#:::#:##:###:::#:::#:#::####::::# ##
#::#:::::::::##:##:::#::##:::::##:#::: :##
###:::#:#:##:###::#::##:::::#:::###:##::##:#
#::###::##:::##:##:::###::#::::#::##:####:::#
###:::#:::#:#::#:#:####:##::#:##:###::#:::::#
#::###::#:##::::#::#:###::#::::::###:##:#::#: ##
###:::#::: #:##:#:##::##::#####:####::####:##:::#
#::###::#:# #::#:###:#:#:##::::::##:::#:#:#:: #:::#
###:::#::## ###::##:#:::##:::::::####:####:::#::::::#
#::###::#:# #:::##::###########:#::####::#::: #::::#
###:::#::## :#:####::##::#########::#::##::::#::##
#::###::#:# ## :#:##:::##:##:###:###:::#::#:##::####:#
###:::#::## #::#:######:##:#:##:#:#::::###:###:::##:::#
#::###::#:# #:::::#####:#:#####:::::#:#::##:#::::##:::#
###:::#::## #:::::#:##:#####:##::#:#:::#::#::##:# :#::#
#::###::#:# #::::#:::####:#::#####:##:::##########:::##
###:::#::## #:##:::##:::#::#:::####::#:::##:####:##:::
#::###::#:# #####:#::##:::##:#:::#::::#:#::#::#::#:#:
###:::#::## ## ## #:#:#::::##:##:#:#:##::#::##::##:
#::###::#:# #::#: #:########:#:#:##::####:#:
###:::#::## #::#: #:::::::##:##:::#::#::##:#:
#::###::#:# #::# #::::::#::##::##:::##:####:
###:::#::## ## #:::::::##::##::::#:::#:###
#::###::#:# #:##::####::::####:###:####
###:::#::## ##: ####: ##: #:##:#:#::#
#::###::#:# ## ## ## ###:##:#####
###:::#::## #:##:#::####
#::###::#:# :##:##:##
###:::#::## :##::::::
#::###::#:# #:##::####:#
###:::#::## #::#:###::###
#::###::#:# #:##:# #::#
###:::#::## ##: ##
:::##::#:# ##
##::#::##
#:#:#:#
####:##
#:##:#
####
##
REXX
This REXX program automatically justifies (or crops) the left, right, top and bottom of the ant's walk field on the screen.
Or in other words, this REXX program only shows the pertinent part of the ant's walk-field.
<lang rexx>/*REXX program implements Langton's ant walk and displays the ant's path (finite field).*/
parse arg dir char seed . /*obtain optional arguments from the CL*/
if datatype(seed, 'W') then call random ,,seed /*Integer? Then use it as a RANDOM SEED*/
if dir== | dir=="," then dir=random(1, 4) /*ant is facing a random direction, */
if char== | char=="," then char= '#' /*binary colors: 0≡white, 1≡black. */
parse value scrSize() with sd sw . /*obtain the terminal's depth and width*/
sd=sd-6; sw=sw-1 /*adjust for terminal's useable area. */
x=1000000 ; y=1000000 /*start ant's walk in middle of nowhere*/ $.=1; $.0=4 ; $.2=2; $.3=3; $.4=4 /* 1≡north 2≡east 3≡south 4≡west.*/ @.=0 ; minx=x; miny=y; maxx=x; maxy=y /*define stem array, default: all white*/
/* [↓] ant walks hither and thither. */
do steps=1 until (maxx-miny>sw) | (maxy-miny>sd) /*'til the ant is out─of─bounds.*/
black=@.x.y; @.x.y= \ @.x.y /*invert (flip) ant's cell color code.*/
if black then dir=dir-1 /*if cell color was black, turn left.*/
else dir=dir+1 /* " " " " white, turn right.*/
dir=$.dir /*possibly adjust for under/over. */
select /*ant walks the direction it's facing. */
when dir==1 then y= y + 1 /*is ant walking north? Then go up. */
when dir==2 then x= x + 1 /* " " " east? " " right.*/
when dir==3 then y= y - 1 /* " " " south? " " down. */
when dir==4 then x= x - 1 /* " " " west? " " left. */
end /*select*/
minx=min(minx, x); maxx=max(maxx, x) /*find the minimum and maximum of X. */
miny=min(miny, y); maxy=max(maxy, y) /* " " " " " " Y. */
end /*steps*/
/*finished walking, it's out-of-bounds.*/
say center(" Langton's ant walked " steps ' steps. ', 79, "─") @.1000000.1000000='█' /*show the ant's initial starting point*/ @.x.y= '∙' /*show where the ant went out-of-bounds*/
/* [↓] show Langton's ant's trail. */
do y=maxy to miny by -1; _= /*display a single row of cells. */
do x=minx to maxx; _=_ || @.x.y /*build a cell row for the display. */
end /*x*/
_=strip( translate(_, char, 10), 'T') /*color the cells: black or white. */
if _\== then say _ /*display line (strip trailing blanks).*/
end /*y*/ /*stick a fork in it, we're all done. */</lang>
The terminal's screen size used was 80x160.
The ant's walk starts at the █ glyph and ends at ∙ where it goes out-of-bounds.
output when using the default inputs:
(Shown at 2/3 size.)
∙
# #
## # #
### #
# ## #
## ### #
# # # ###
## # #####
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
# # ### #
## # ###
## # # ### #
## ## ## # ###
# # # ## # # # ### #
### ### # # ## # ###
# #### ## # # # ### #
## ## # ###
## ## ## # # ### #
#### # ## # ## # ###
##### ## ### ## ## ## # # ### #
# # # ## # ## #### ## ## # ###
#### ### #### #### ## # # # ### #
### # # ## ## # ## ## # ###
#### ## ## ## # # # # # # ### #
# ## # # ## ## # # # ## # ###
# #### ## # # ######## # # # # # ### #
## ## # ## # # ## ## # # # ## ## ## # ###
# # # # # # # # ## ## # ##### # # ### #
## #### ## # #### # # ## ## # ## # ###
## ########## ## ##### # #### # # # # ### #
# # # ## # # # # ## ##### ## # # ## # ###
# ## # ## # # ##### # ##### # # # ### #
# ## ### ### # # ## # ## ###### # # ## # ###
# #### ## # # ### ### #█ ## ## # ## # # ### #
## # ## # ######### ## #### # ## # ###
# # # #### # ########### ## # # # ### #
# # #### #### ## # ## ### ## # ###
# # # # # ## ## # # ### # # # # ### #
# ## #### #### ##### ## ## # ## # # ###
## # # ## ### # ### # # ## # ### #
# # ### ## # ## #### # # # # # ###
# #### ## # # ### ## ## ## ### #
# ## ## ### # ## # ### ## # # ###
## # ## ## # ## ## # #
## # #### # # # ### ## # # #
## ### ##### # ## ## ## # # ## # ### #
# # ### # ###### ## ## #### # ## ###
# # # ### # #### # # ##### # #
### ### # # ### ## # ## ### #
## ## # # # ## #### ## ### # #
### ## ## # # # # ###
# ### # # ## ##
# # # # # #
# ## ## ###
## # #### #
## ############ ##
Ring
<lang ring> load "guilib.ring" load "stdlib.ring"
new qapp
{
win1 = new qwidget() {
setwindowtitle("drawing using qpainter")
setgeometry(100,100,500,500)
label1 = new qlabel(win1) {
setgeometry(10,10,400,400)
settext("")
}
new qpushbutton(win1) {
setgeometry(200,400,100,30)
settext("draw")
setclickevent("draw()")
}
show()
}
exec()
}
func draw
p1 = new qpicture()
color = new qcolor() {
setrgb(0,0,255,255)
}
pen = new qpen() {
setcolor(color)
setwidth(1)
}
new qpainter() {
begin(p1)
setpen(pen)
fieldsize=100
field = newlist(fieldsize,fieldsize)
x=fieldsize/2
y=fieldsize/2
d=0
while x<=fieldsize and x>=0 and y<=fieldsize and y>=0
if field[x][y]=0 field[x][y]=1 d-=1 else field[x][y]=0 d+=1 ok
drawpoint(x*2, y*2)
d=(d+4) % 4
switch d
on 0 y+=1
on 1 x+=1
on 2 y-=1
on 3 x-=1
off
end
endpaint()
}
label1 { setpicture(p1) show() }
</lang>
Output:
Ruby
<lang ruby>class Ant
class OutOfBoundsException < StandardError; end
class Plane
def initialize(x, y)
@size_x, @size_y = x, y
@cells = Array.new(y) {Array.new(x, :white)}
end
def white?(px, py)
@cells[py][px] == :white
end
def toggle_colour(px, py)
@cells[py][px] = (white?(px, py) ? :black : :white)
end
def check_bounds(px, py)
unless (0 <= px and px < @size_x) and (0 <= py and py < @size_y)
raise OutOfBoundsException, "(#@size_x, #@size_y)"
end
end
def to_s
@cells.collect {|row|
row.collect {|cell| cell == :white ? "." : "#"}.join + "\n"
}.join
end
end
dir_move = [[:north, [0,-1]], [:east, [1,0]], [:south, [0,1]], [:west, [-1,0]]]
Move = Hash[dir_move]
directions = dir_move.map{|dir, move| dir} # [:north, :east, :south, :west]
Right = Hash[ directions.zip(directions.rotate).to_a ]
Left = Right.invert
def initialize(size_x, size_y, pos_x=size_x/2, pos_y=size_y/2)
@plane = Plane.new(size_x, size_y)
@pos_x, @pos_y = pos_x, pos_y
@direction = :south
@plane.check_bounds(@pos_x, @pos_y)
end
def run
moves = 0
loop do
begin
moves += 1
move
rescue OutOfBoundsException
break
end
end
moves
end
def move
@plane.toggle_colour(@pos_x, @pos_y)
advance
if @plane.white?(@pos_x, @pos_y)
@direction = Right[@direction]
else
@direction = Left[@direction]
end
end
def advance
dx, dy = Move[@direction]
@pos_x += dx
@pos_y += dy
@plane.check_bounds(@pos_x, @pos_y)
end
def position
"(#@pos_x, #@pos_y)"
end
def to_s
@plane.to_s
end
end
- the simulation
ant = Ant.new(100, 100) moves = ant.run puts "out of bounds after #{moves} moves: #{ant.position}" puts ant</lang>
- Output:
out of bounds after 11669 moves: (26, -1) ..........................#.#....................................................................... ........................##.#.#...................................................................... .......................#.###.##..................................................................... ......................####.###.#.................................................................... ......................#####.#..##................................................................... .......................#...##.##.#.................................................................. ........................###...#..##................................................................. .........................#...##.##.#................................................................ ..........................###...#..##............................................................... ...........................#...##.##.#.............................................................. ............................###...#..##............................................................. .............................#...##.##.#............................................................ ..............................###...#..##........................................................... ...............................#...##.##.#.......................................................... ................................###...#..##......................................................... .................................#...##.##.#........................................................ ..................................###...#..##....................................................... ...................................#...##.##.#...................................................... ....................................###...#..##..................................................... .....................................#...##.##.#.................................................... ......................................###...#..##................................................... .......................................#...##.##.#.................................................. ........................................###...#..##................................................. .........................................#...##.##.#................................................ ..........................................###...#..##............................................... ...........................................#...##.##.#.............................................. ............................................###...#..##............................................. .............................................#...##.##.#............................................ ..............................................###...#..##........................................... ...............................................#...##.##.#.......................................... ................................................###...#..##......................................... .................................................#...##.##.#..##.................................... ..................................................###...#..##..##................................... ...................................................#...##.##..##...#................................ .............................................####...###...#...#..###................................ ............................................#....#...#...##.####...#................................ ...........................................###....#...#.#......#.##.#............................... ...........................................###....#.##.....#.##..#.##............................... ............................................#....#...##.#.#.....##.................................. ............................................#.#......#.#####..#...#................................. ...........................................#...#####..........##.######............................. ...........................................###..##..#.##.#.#.#...##.#.##............................ .........................................##..#.#######.#...#..###....##.#........................... ........................................#..#..######.##...#..#.##...#...#........................... .......................................#....#.#.##.#..######.#######...#............................ .......................................#.####.##.#.####....##..##.#.##.#............................ ........................................#....####...#..#.######.##....###........................... ...........................................#...#.##.#.###.#..##..##...###........................... ..............................................#######....#..##.##.#.....#........................... ......................................####..##.##..####.##.##.##..#.....#........................... .....................................#....#.#...###.##.###....#.####....#........................... ....................................###.......###.#.#.#####....#.#......#........................... ....................................#.#...###.####.##.#...##.###.##.....#........................... ..........................................##.##..####....####.#.#.#.....#........................... .....................................#....#..##...###..###.....###......#........................... .....................................##...##.###.####..#......###...##..#........................... .....................................##.#.####.....#...#..#.##.###.##...#........................... ....................................####.##...##.####..#.#..#..#..###...#........................... ....................................#.##.###..#.#.##.#.#.....#.#.....#.#............................ ........................................#.#..#....##.##..#.#..###.##................................ ........................................##.#....#..#####.#....#....#..#.#........................... .......................................#.##.#..#....##.##.#..###......###........................... .....................................#.#...#..#..#..#..###...##..##....#............................ ....................................###.#.#####.######.###.#######.#.##............................. ....................................#.#.#....#####...##..#####.#####................................ ......................................#..##...#......#..#.##..###.###............................... ...................................####...#####.#########...#.#..................................... ..............................##....#..#.....###.#.#...#.###..###................................... .............................#..#..####.##...###.##...###.##.....##................................. ............................###....#.##.#.#####...#....#..#..##.###................................. ............................#.#####.#.#...##..##.....#....#...#..#.................................. ................................######.####..##.#...#..##..#.#.##................................... ..............................##......#.###.##..####...#...###...................................... ...............................#..#.#####..#...#.##...#..#..#....................................... ...............................##.###.#######.....#.....#.##........................................ ..............................#.#..##.##......#...##....#........................................... .............................#..#.####........###..##..#............................................ .............................#.##.###............##..##............................................. ..............................##.................................................................... ...............................##................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... ....................................................................................................
Simple Version: <lang ruby>class Ant
MOVE = [[1,0], [0,1], [-1,0], [0,-1]] # [0]:east, [1]:south, [2]:west, [3]:north
def initialize(size_x, size_y, pos_x=size_x/2, pos_y=size_y/2)
@plane = Array.new(size_y) {Array.new(size_x, true)} # true -> white, false -> black
@sx, @sy = size_x, size_y
@px, @py = pos_x, pos_y # start position
@direction = 0 # south
@moves = 0
move while (0 <= @px and @px < @sx) and (0 <= @py and @py < @sy)
end
def move
@moves += 1
@direction = (@plane[@py][@px] ? @direction+1 : @direction-1) % 4
@plane[@py][@px] = !@plane[@py][@px]
@px += MOVE[@direction][0]
@py += MOVE[@direction][1]
end
def to_s
["out of bounds after #{@moves} moves: (#@px, #@py)"] +
(0...@sy).map {|y| (0...@sx).map {|x| @plane[y][x] ? "." : "#"}.join}
end
end
puts Ant.new(100, 100).to_s</lang>
- Output is the same above.
Run BASIC
<lang Runbasic>dim plane(100,100) x = 50: y = 50: minY = 100
while (x>0) and (x<100) and (y>0) and (y<100)
if plane(x,y) then nxt = nxt - 1 if nxt < 1 then nxt = 4 else nxt = nxt + 1 if nxt > 4 then nxt = 1 end if
x = x + (nxt = 2) - (nxt = 4) y = y + (nxt = 3) - (nxt = 1) plane(x,y) = (plane(x,y) <> 1) minY = min(y,minY) ' find lowest and maxY = max(y,maxY) ' highest y to prevent printing blank lines
wend
graphic #g, 100,100 for y = minY to maxY
for x = 1 to 100
print chr$((plane(x,y)*3) + 32);
if plane(x,y) = 1 then #g "color green ; set "; x; " "; y else #g "color blue ; set "; x; " "; y
next x
print y
next y render #g
- g "flush""</lang>
Ouptut (Produces both character and graphic):
20
## 21
## 22
## ## ### ## # 23
# ## ### #### # # 24
# ## # ## ## # # 25
## # # ####### ### ## 26
# # # ## # # ##### # # 27
### # #### ## ### # ## 28
## # # ## # # ## #### ###### 29
# # # # ## ## # # ##### # 30
### ## # # # ##### # ## # ### 31
## ## ### ## ### ## #### # # 32
### ### # # # ### # # ## 33
# # ######### ##### #### 34
### ### ## # # # ## # 35
##### ##### ## ##### # # # 36
## # ####### ### ###### ##### # ### 37
# ## ## ### # # # # # # 38
### ### # ## ## # # ## # 39
# # # # # ##### # # ## 40
## ### # # ## ## # # # 41
# # # # # # ## # # ### ## # 42
# ### # # # # #### ## ## #### 43
# ## ### ## # # # #### # ## 44
# ## ### # #### ### ## ## 45
# ### ### ### ## # # 46
# # # # #### #### ## ## 47
# ## ### ## # ## #### ### # # 48
# # # ##### # # ### ### 49
# #### # ### ## ### # # # 50
# # ## ## ## #### ## ## #### 51
# # ## ## # ####### 52
### ## ## # ### # ## # # 53
### ## ###### # # #### # 54
# ## # ## ## #### # ## #### # 55
# ####### ###### # ## # # # 56
# # ## # # ## ###### # # 57
# ## ### # # ####### # ## 58
## # ## # # # ## # ## ### 59
###### ## ##### # 60
# # ##### # # # 61
## # # ## # # 62
## # ## # ## # ### 63
# ## # # # # ### 64
# #### ## # # # 65
### # # ### #### 66
# ## ## ## # 67
## ## # ### 68
## # ## ## # 69
## # ### 70
# ## ## # 71
## # ### 72
# ## ## # 73
## # ### 74
# ## ## # 75
## # ### 76
# ## ## # 77
## # ### 78
# ## ## # 79
## # ### 80
# ## ## # 81
## # ### 82
# ## ## # 83
## # ### 84
# ## ## # 85
## # ### 86
# ## ## # 87
## # ### 88
# ## ## # 89
## # ### 90
# ## ## # 91
## # ### 92
# ## ## # 93
## # ### 94
# ## ## # 95
## # ##### 96
# # #### 97
## ### # 98
# # ## 99
100
Rust
<lang rust>struct Ant {
x: usize, y: usize, dir: Direction
}
- [derive(Clone,Copy)]
enum Direction {
North, East, South, West
}
use Direction::*;
impl Ant {
fn mv(&mut self, vec: &mut Vec<Vec<u8>>) {
let pointer = &mut vec[self.y][self.x];
//change direction
match *pointer {
0 => self.dir = self.dir.right(),
1 => self.dir = self.dir.left(),
_ => panic!("Unexpected colour in grid")
}
//flip colour
//if it's 1 it's black
//if it's 0 it's white
*pointer ^= 1;
//move direction
match self.dir {
North => self.y -= 1,
South => self.y += 1,
East => self.x += 1,
West => self.x -= 1,
}
}
}
impl Direction {
fn right(self) -> Direction {
match self {
North => East,
East => South,
South => West,
West => North,
}
}
fn left(self) -> Direction {
//3 rights equal a left
self.right().right().right()
}
}
fn main(){
//create a 100x100 grid using vectors
let mut grid: Vec<Vec<u8>> = vec![vec![0; 100]; 100];
let mut ant = Ant {
x: 50, y: 50, dir: Direction::North
};
while ant.x < 100 && ant.y < 100 {
ant.mv(&mut grid);
}
for each in grid.iter() {
//construct string
//using iterator methods to quickly convert the vector
//to a string
let string = each.iter()
.map(|&x| if x == 0 { " " } else { "#" })
.fold(String::new(), |x, y| x+y);
println!("{}", string);
}
}</lang>
Scala
<lang scala>class Langton(matrix:Array[Array[Char]], ant:Ant) {
import Langton._ val rows=matrix.size val cols=matrix(0).size
def isValid = 0 <= ant.row && ant.row < cols && 0 <= ant.col && ant.col < rows
def isBlack=matrix(ant.row)(ant.col)==BLACK
def changeColor(c:Char)={matrix(ant.row)(ant.col)=c; matrix}
def evolve():Langton={
val (newCol, newAnt)=if(isBlack) (WHITE, ant.turnLeft) else (BLACK, ant.turnRight)
new Langton(changeColor(newCol), newAnt.move)
}
override def toString()=matrix map (_.mkString("")) mkString "\n"
}
case class Ant(row:Int, col:Int, d:Int=0) {
def turnLeft=Ant(row,col,(d-1)&3)
def turnRight=Ant(row,col,(d+1)&3)
def move=d match {
case 0 => Ant(row-1,col,d) // north
case 1 => Ant(row,col+1,d) // east
case 2 => Ant(row+1,col,d) // south
case 3 => Ant(row,col-1,d) // west
}
}
object Langton {
val BLACK='#' val WHITE='.' def apply(x:Int=100, y:Int=100)=new Langton(Array.fill(y, x)(WHITE), Ant(x>>>1, y>>>1, 0))
def main(args: Array[String]): Unit = {
var l=Langton(100,100)
var moves=0
while (l.isValid) {
moves += 1
l=l.evolve
}
println("Out of bounds after "+moves+" moves")
println(l)
}
}</lang> Output:
Out of bounds after 11669 moves .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... ..........................................##..############..##...................................... .........................................#..####..........#..##..................................... ........................................###...##............##.#.................................... ........................................#.#..#.........#..#....#.................................... ....................................##..##.#.#.........###.......#.................................. .................................###.#..#...#.....#.....##.##..###.................................. ..................................#.#..###..##.####.##...#.#..#.##..##.............................. ..................................#.###.##..#.##..###.#.#.....###...###............................. ................................#.....#...#####.#.#..####..#...###.#.#.#............................ ...............................###.##...#.####..##.##.######.#.###.#...#............................ ...............................#.###.#.##.#.#.##.##.##.#...#####.###.##............................. ...................................#.#...#.##.###...#...#.#..####....#.##........................... ................................#..#.........##.##...#..##.....##.#.....##.......................... ...............................###...#.#.##.###..#..##.....#...###.##..##.#......................... ..............................#..###..##...##.##...###..#....#..##.####...#......................... .............................###...#...#.#..#.#.####.##..#.##.###..#.....#.......................... ............................#..###..#.##....#..#.###..#......###.##.#..#..##........................ ...........................###...#.....#.##.#.##..##..#####.####..####.##...#....................... ..........................#..###..#.#.#..#.###.#.#.##......##...#.#.#....#...#...................... .........................###...#..##.###..##.#...##.......####.####...#......#...................... ........................#..###..#.#..#...##..###########.#..####..#....#....#....................... .......................###...#..##......#.####..##..#########..#..##....#..##....................... ......................#..###..#.#...##..#.##...##.##.###.###...#..#.##..####.#...................... .....................###...#..##...#..#.######.##.#.##.#.#....###.###...##...#...................... ....................#..###..#.#...#.....#####.#.#####.....#.#..##.#....##...#....................... ...................###...#..##....#.....#.##.#####.##..#.#...#..#..##.#..#..#....................... ..................#..###..#.#.....#....#...####.#..#####.##...##########...##....................... .................###...#..##......#.##...##...#..#...####..#...##.####.##........................... ................#..###..#.#........#####.#..##...##.#...#....#.#..#..#..#.#......................... ...............###...#..##..........##..##.#.#.#....##.##.#.#.##..#..##..##......................... ..............#..###..#.#.................#..#....#.########.#.#.##..####.#......................... .............###...#..##..................#..#...#.......##.##...#..#..##.#......................... ............#..###..#.#....................#..#..#......#..##..##...##.####......................... ...........###...#..##......................##...#.......##..##....#...#.###........................ ..........#..###..#.#............................#.##..####....####.###.####........................ .........###...#..##..............................##..####....##..#.##.#.#..#....................... ........#..###..#.#................................##....##....##.###.##.#####...................... .......###...#..##................................................#.##.#..####...................... ......#..###..#.#.....................................................##.##.##...................... .....###...#..##......................................................##............................ ....#..###..#.#.....................................................#.##..####.#.................... ...###...#..##.....................................................#..#.###..###.................... ..#..###..#.#......................................................#.##.#..#..#..................... .###...#..##........................................................##......##...................... #..###..#.#..........................................................##............................. .###.#..##.......................................................................................... #.#.#.#.#........................................................................................... .####.##............................................................................................ .#.##.#............................................................................................. ..####.............................................................................................. ...##............................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... .................................................................................................... ....................................................................................................
Seed7
<lang seed7>$ include "seed7_05.s7i";
const type: direction is new enum UP, RIGHT, DOWN, LEFT end enum;
const proc: main is func
local
const integer: width is 75;
const integer: height is 52;
var array array boolean: m is height times width times FALSE;
var direction: dir is UP;
var integer: x is width div 2;
var integer: y is height div 2;
begin
while x in {1 .. width} and y in {1 .. height} do
dir := direction conv ((ord(dir) + 2 * ord(m[y][x]) - 1) mod 4);
m[y][x] := not m[y][x];
case dir of
when {UP}: decr(y);
when {RIGHT}: decr(x);
when {DOWN}: incr(y);
when {LEFT}: incr(x);
end case;
end while;
for key x range m do
for y range 1 to width do
write(".#"[succ(ord(m[x][y]))]);
end for;
writeln;
end for;
end func;</lang>
- Output:
........................................................................... ........................................................................... ........................................................................... ............................##..############..##........................... ...........................#..####..........#..##.......................... ..........................###...##............##.#......................... ..........................#.#..#.........#..#....#......................... ......................##..##.#.#.........###.......#....................... ...................###.#..#...#.....#.....##.##..###....................... ....................#.#..###..##.####.##...#.#..#.##..##................... ....................#.###.##..#.##..###.#.#.....###...###.................. ..................#.....#...#####.#.#..####..#...###.#.#.#................. .................###.##...#.####..##.##.######.#.###.#...#................. .................#.###.#.##.#.#.##.##.##.#...#####.###.##.................. .....................#.#...#.##.###...#...#.#..####....#.##................ ..................#..#.........##.##...#..##.....##.#.....##............... .................###...#.#.##.###..#..##.....#...###.##..##.#.............. ................#..###..##...##.##...###..#....#..##.####...#.............. ...............###...#...#.#..#.#.####.##..#.##.###..#.....#............... ..............#..###..#.##....#..#.###..#......###.##.#..#..##............. .............###...#.....#.##.#.##..##..#####.####..####.##...#............ ............#..###..#.#.#..#.###.#.#.##......##...#.#.#....#...#........... ...........###...#..##.###..##.#...##.......####.####...#......#........... ..........#..###..#.#..#...##..###########.#..####..#....#....#............ .........###...#..##......#.####..##..#########..#..##....#..##............ ........#..###..#.#...##..#.##...##.##.###.###...#..#.##..####.#........... .......###...#..##...#..#.######.##.#.##.#.#....###.###...##...#........... ......#..###..#.#...#.....#####.#.#####.....#.#..##.#....##...#............ .....###...#..##....#.....#.##.#####.##..#.#...#..#..##.#..#..#............ ....#..###..#.#.....#....#...####.#..#####.##...##########...##............ ...###...#..##......#.##...##...#..#...####..#...##.####.##................ ..#..###..#.#........#####.#..##...##.#...#....#.#..#..#..#.#.............. .###...#..##..........##..##.#.#.#....##.##.#.#.##..#..##..##.............. #..###..#.#.................#..#....#.########.#.#.##..####.#.............. .###.#..##..................#..#...#.......##.##...#..#..##.#.............. #.#.#.#.#....................#..#..#......#..##..##...##.####.............. .####.##......................##...#.......##..##....#...#.###............. .#.##.#............................#.##..####....####.###.####............. ..####..............................##..####....##..#.##.#.#..#............ ...##................................##....##....##.###.##.#####........... ....................................................#.##.#..####........... ........................................................##.##.##........... ........................................................##................. ......................................................#.##..####.#......... .....................................................#..#.###..###......... .....................................................#.##.#..#..#.......... ......................................................##......##........... .......................................................##.................. ........................................................................... ........................................................................... ........................................................................... ...........................................................................
Sidef
<lang ruby>define dirs = [[1,0], [0,-1], [-1,0], [0,1]]; define size = 100;
enum |White, Black|; var plane = size.of { size.of (White) };
var (x, y) = @([size/2 -> int]*2); var dir = dirs.len.rand.int;
var moves = 0; loop {
(x >= 0) && (y >= 0) && (x < size) && (y < size) || break;
given(plane[x][y]) {
when (White) { dir--; plane[x][y] = Black }
when (Black) { dir++; plane[x][y] = White }
}
++moves;
[\x, \y]:dirs[dir %= dirs.len] -> each {|a,b| *a += b };
}
say "Out of bounds after #{moves} moves at (#{x}, #{y})"; plane.map{.map {|square| square == Black ? '#' : '.' }}.each{.join.say};</lang>
Swift
<lang Swift>import Foundation
let WIDTH = 100 let HEIGHT = 100
struct Point {
var x:Int var y:Int
}
enum Direction: Int {
case North = 0, East, West, South
}
class Langton {
let leftTurn = [Direction.West, Direction.North, Direction.South, Direction.East] let rightTurn = [Direction.East, Direction.South, Direction.North, Direction.West] let xInc = [0, 1,-1, 0] let yInc = [-1, 0, 0, 1] var isBlack:Bool var origin:Point var antPosition = Point(x:0, y:0) var outOfBounds = false var antDirection = Direction.East init(width:Int, height:Int) { self.origin = Point(x:width / 2, y:height / 2) self.isBlack = Array(count: width, repeatedValue: Array(count: height, repeatedValue: false)) } func moveAnt() { self.antPosition.x += xInc[self.antDirection.rawValue] self.antPosition.y += yInc[self.antDirection.rawValue] } func step() -> Point { if self.outOfBounds { println("Ant tried to move while out of bounds.") exit(0) } var ptCur = Point(x:self.antPosition.x + self.origin.x, y:self.antPosition.y + self.origin.y) let black = self.isBlack[ptCur.x][ptCur.y] let direction = self.antDirection.rawValue self.antDirection = (black ? self.leftTurn : self.rightTurn)[direction]
self.isBlack[ptCur.x][ptCur.y] = !self.isBlack[ptCur.x][ptCur.y]
self.moveAnt()
ptCur = Point(x:self.antPosition.x + self.origin.x, y:self.antPosition.y + self.origin.y)
self.outOfBounds =
ptCur.x < 0 ||
ptCur.x >= self.isBlack.count ||
ptCur.y < 0 ||
ptCur.y >= self.isBlack[0].count
return self.antPosition
}
}
let ant = Langton(width: WIDTH, height: HEIGHT)
while !ant.outOfBounds {
ant.step()
}
for row in 0 ..< WIDTH {
for col in 0 ..< HEIGHT {
print(ant.isBlack[col][row] ? "#" : " ")
}
println()
}</lang>
- Output:
Blank lines omitted
# #
## # #
# ### ##
#### ### #
##### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## #
### # ##
# ## ## # ##
### # ## ##
# ## ## ## #
#### ### # # ###
# # # ## #### #
### # # # # ## #
### # ## # ## # ##
# # ## # # ##
# # # ##### # #
# ##### ## ######
### ## # ## # # # ## # ##
## # ####### # # ### ## #
# # ###### ## # # ## # #
# # # ## # ###### ####### #
# #### ## # #### ## ## # ## #
# #### # # ###### ## ###
# # ## # ### # ## ## ###
####### # ## ## # #
#### ## ## #### ## ## ## # #
# # # ### ## ### # #### #
### ### # # ##### # # #
# # ### #### ## # ## ### ## #
## ## #### #### # # # #
# # ## ### ### ### #
## ## ### #### # ### ## #
## # #### # # # ## ### ## #
#### ## ## #### # # # # ### #
# ## ### # # ## # # # # # #
# # # ## ## # # ### ##
## # # ##### # # # # #
# ## # # ## ## # ### ###
# # # # # # ### ## ## #
### # ##### ###### ### ####### # ##
# # # ##### ## ##### #####
# ## # # # ## ### ###
#### ##### ######### # #
## # # ### # # # ### ###
# # #### ## ### ## ### ## ##
### # ## # ##### # # # ## ###
# ##### # # ## ## # # # #
###### #### ## # # ## # # ##
## # ### ## #### # ###
# # ##### # # ## # # #
## ### ####### # # ##
# # ## ## # ## #
# # #### ### ## #
# ## ### ## ##
##
##
Tcl
<lang tcl>package require Tk
proc step {workarea} {
global x y dir
if {[lindex [$workarea get $x $y] 0]} {
$workarea put black -to $x $y if {[incr dir] > 3} {set dir 0}
} else {
$workarea put white -to $x $y if {[incr dir -1] < 0} {set dir 3}
}
switch $dir {
0 {incr x} 1 {incr y} 2 {incr x -1} 3 {incr y -1}
}
expr {$x < 0 || $x >= [image width $workarea] || $y < 0 || $y >= [image height $workarea]}
}
image create photo antgrid -width 100 -height 100 pack [label .l -image antgrid] antgrid put white -to 0 0 99 99 set x [set y 50] set dir 0
while 1 {
update
if {[step antgrid]} break
}
- Produce output in file
antgrid write ant.gif -format gif</lang>
TI-83 BASIC
The variable N counts the generation number. <lang TI-83b>PROGRAM:LANT
- ClrDraw
- 0→N
- 47→A
- 31→B
- 90→Θ
- Repeat getKey
- If pxl-Test(B,A)
- Then
- Θ+90→Θ
- Else
- Θ-90→Θ
- End
- Pxl-Change(B,A)
- A+cos(Θ°)→A
- B+sin(Θ°)→B
- N+1→N
- End
</lang>
Vim Script
<lang vim>" return character under cursor function! CurrChar()
return matchstr(getline('.'), '\%' . col('.') . 'c.')
endfunction
" draw all-white grid (arguments are characters to use for white and black) function! LangtonClear(white, black)
let l:bufname = 'langtons.ant'
if bufexists(l:bufname)
let l:winnum = bufwinnr(l:bufname)
if l:winnum == -1
execute 'sbuffer ' . bufnr(l:bufname)
else
execute l:winnum . 'wincmd w'
endif
else
execute 'new ' . l:bufname
end
execute '1,$ delete _'
call append(0, repeat(a:white,100))
execute 'normal! 1Gyy99p'
goto 5100
let b:directions = [ 'k', 'l', 'j', 'h' ]
let b:direction = 0
let b:white = a:white
let b:black = a:black
endfunction
" move the ant one step function! LangtonStep()
let l:ch = CurrChar() if l:ch == b:white let l:ch = b:black let b:direction = (b:direction + 1) % 4 elseif l:ch == b:black let l:ch = b:white let b:direction = (b:direction + 3) % 4 endif execute 'normal! r'.l:ch.b:directions[b:direction]
endfunction
" run until we hit the edge " optional arguments specify white and black characters; " default . and @, respectively. function! RunLangton(...)
let l:white='.'
let l:black='@'
if a:0 > 0
let l:white=a:1
if a:0 > 1
let l:black=a:2
endif
endif
call LangtonClear(l:white, l:black)
while 1
let l:before = getpos('.')
call LangtonStep()
let l:after = getpos('.')
if l:before == l:after
break
endif
endwhile
endfunction</lang>
Whitespace
<lang Whitespace>
</lang>
Following is the pseudo-Assembly from which the above was generated.
<lang asm>; For easier access, the direction vector is stored at the end of the heap. push 10003 dup push 100 store push 1 sub dup push -1 store push 1 sub dup push -100 store push 1 sub dup push 1 store
0: ; Initialize the grid.
push 1 sub dup push 0 store dup push 0 swap sub jn 0 push 5050 ; Start the ant at the center.
1: ; Make sure the ant's in bounds.
dup push 100 mod jn 2 dup push 100 div jn 2 push 100 copy 1 copy 1 mod sub jz 2 push 100 copy 1 copy 1 div sub jz 2
swap copy 1 load ; Get current cell state. push 1 add push 2 mod ; Invert it. copy 2 copy 1 store ; Then store it back. push 2 mul push 5 add add push 4 mod ; Determine new direction. swap copy 1 push 10000 add load add ; Update position accordingly. jump 1
2: ; Initialize a counter and flow into the printer.
pop dup sub
3: ; Iterate over the cells.
dup load push 32 add ochr ; Print ' ' for off, '!' for on.
push 1 add dup ; Increment the counter.
push 100 mod jz 5 ; Branch at the end of a row.
4:
dup push 10000 sub jn 3 ; Go again unless counter is 10000.
pop exit ; All done, exit clean.
5: ; Print a newline and jump back to the counter check.
push 10 ochr jump 4</lang>
XPL0
<lang XPL0>include c:\cxpl\codes; \intrinsic 'code' declarations int X, Y, Dir; [SetVid($13); \set 320x200 graphic video mode X:= 50; Y:= 50; Dir:= 0; \start in middle facing east repeat if ReadPix(X,Y) then \(black and white are reversed)
[Dir:= Dir-1;\left\ Point(X,Y, 0\black\)]
else [Dir:= Dir+1;\right\ Point(X,Y,$F\white\)];
case Dir & 3 of
0: X:= X+1; \east
1: Y:= Y+1; \south
2: X:= X-1; \west
3: Y:= Y-1 \north
other [];
until X<0 ! X>=100 ! Y<0 ! Y>=100; X:= ChIn(1); \wait for keystroke SetVid(3); \restore normal text mode ]</lang>
zkl
Uses the PPM class from http://rosettacode.org/wiki/Bitmap/Bresenham%27s_line_algorithm#zkl <lang zkl>white:=0xff|ff|ff; black:=0; w:=h:=100; bitmap:=PPM(w,h,white); x:=w/2; y:=h/2; dir:=0; // start in middle facing east do{
if(bitmap[x,y]){ dir-=1; bitmap[x,y]=black; } // white-->black, turn left
else { dir+=1; bitmap[x,y]=white; } // black-->white, turn right
switch(dir.bitAnd(3)){ // dir is always <0
case(0){ x+=1; } // east
case(1){ y-=1; } // south
case(2){ x-=1; } // west
case(3){ y+=1; } // north
}
}while((0<=x<w) and (0<=y<h));
bitmap.write(File("foo.ppm","wb"));</lang>
- Output:
Same as XPL0 (and using their image).
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