File:Prim Maze 3D.svg
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File originale (file in formato SVG, dimensioni nominali 400 × 400 pixel, dimensione del file: 55 KB)
Questo file proviene da Wikimedia Commons e può essere utilizzato da altri progetti. Di seguito viene mostrata la descrizione presente nella pagina di descrizione del file.
Dettagli
| DescrizionePrim Maze 3D.svg |
English: A 3D maze generated using a modified version of Prim's algorithm. Vertical layers are numbered starting from the bottom layer to the top. Stairs up are indicated with '/'; stairs down with '\', and stairs up-and-down with 'x'. |
| Data | |
| Fonte | Opera propria basata su: Prim Maze.svg di Nandhp |
| Autore | SharkD |
| SVG sviluppo InfoField |
Licenza
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Registro originale del caricamento
This image is a derivative work of the following images:
- Prim Maze.svg licensed with Cc-by-sa-3.0, GFDL
- 2009-06-01T13:14:50Z Nandhp 200x200 (30665 Bytes) {{Information |Description={{en|1=A maze, generated by modified version of [[:en:Prim's algorithm]].}} |Source=Generated by the attached program, which was originally written by [[:en:User:Cyp]], who attached it to the image
Uploaded with derivativeFX
Source code
/*
* 3 June 2003, {{U|Cyp||en}}:
* Maze, generated by my algorithm
* 24 October 2006, {{U|quin||en}}:
* Source edited for clarity
* 25 January 2009, {{U|DebateG||en}}:
* Source edited again for clarity and reusability
* 1 June 2009, {{U|Nandhp||en}}:
* Source edited to produce SVG file when run from the command-line
* 7 January, 2011 {{U|SharkD||en}}:
* Source converted to JavaScript
* 8 January, 2011 {{U|SharkD||en}}:
* Added third axis to make the maze 3D
* Added SVG title element
* Corrected width and height SVG parameters
* Modified the script so that the padding arounds the side edges is added *after* the maze is generated
*
* This program was originally written by {{U|Cyp||en}}, who
* attached it to the image description page for an image generated by
* it on en.wikipedia. The image was licensed under CC-BY-SA-3.0/GFDL.
*/
/* Recreate a math function that exists in Java but not JavaScript. */
Math.nextInt = function (number) {
return Math.floor(Math.random() * number);
}
/* Recreate a system function that exists in Java but not JavaScript.
* Uncomment either WScript.Echo() or alert() depending on whether you are
* running the script from the Windows command-line or a Web page.
*/
function println(string)
{
// if inside Windows Scripting Host
WScript.Echo(string);
// if inside a Web page
// alert(string);
}
/* Define the bit masks */
var WALL_ABOVE = 1;
var WALL_BELOW = 2;
var WALL_LEFT = 4;
var WALL_RIGHT = 8;
var WALL_FRONT = 16;
var WALL_BACK = 32;
var QUEUED = 64;
var IN_MAZE = 128;
/* Construct a Maze with specified lenx, leny, and cell_width */
function Maze(lenx, leny, lenz, cell_width) {
if (lenx)
this.lenx = lenx;
else
this.lenx = 9;
if (leny)
this.leny = leny;
else
this.leny = 9;
if (lenz)
this.lenz = lenz;
else
this.lenz = 4;
if (cell_width)
this.cell_width = cell_width;
else
this.cell_width = 10;
this.maze = [];
/* The maze generation algorithm. */
this.createMaze = function() {
var lenx = this.lenx;
var leny = this.leny;
var lenz = this.lenz;
var maze = this.maze;
var x, y, z, x_dx, y_dy, z_dz, n, d;
var dx = [ 0, 0, -1, 1, 0, 0 ];
var dy = [ -1, 1, 0, 0, 0, 0 ];
var dz = [ 0, 0, 0, 0, -1, 1 ];
var todo = new Array(leny * lenx * lenz);
var todonum = 0;
/* We want to create a maze on a grid. */
/* We start with a grid full of walls. */
/* Outer edges are blank and simply used to pad the image. */
for (x = 0; x < lenx; ++x) {
maze[x] = [];
for (y = 0; y < leny; ++y) {
maze[x][y] = [];
for (z = 0; z < lenz; ++z) {
maze[x][y][z] = WALL_ABOVE + WALL_BELOW + WALL_LEFT + WALL_RIGHT + WALL_FRONT + WALL_BACK + QUEUED + IN_MAZE;
}
}
}
/* Select random square of the grid, to start with. */
x = Math.nextInt(lenx - 1);
y = Math.nextInt(leny - 1);
z = Math.nextInt(lenz - 1);
/* Mark this square as connected to the maze. */
maze[x][y][z] &= ~(QUEUED + IN_MAZE);
/* Remember the surrounding squares, as we will... */
for (d = 0; d < 6; ++d) {
x_dx = x + dx[d];
y_dy = y + dy[d];
z_dz = z + dz[d];
if (x_dx >= 0 && x_dx < lenx && y_dy >= 0 && y_dy < leny && z_dz >= 0 && z_dz < lenz) {
if ((maze[x_dx][y_dy][z_dz] & QUEUED) != 0) {
/* ...want to connect them to the maze. */
todo[todonum++] = [x_dx, y_dy, z_dz];
maze[x_dx][y_dy][z_dz] &= ~QUEUED;
}
}
}
/* We won't be finished until all is connected. */
while (todonum > 0) {
/* We select one of the squares next to the maze. */
n = Math.nextInt(todonum);
x = todo[n][0];
y = todo[n][1];
z = todo[n][2];
/* We will connect it, so remove it from the queue. */
todo[n] = todo[--todonum];
/* Select a random direction, which leads to the maze. */
var passBool = 0;
while (passBool == 0)
{
d = Math.nextInt(6);
x_dx = x + dx[d];
y_dy = y + dy[d];
z_dz = z + dz[d];
if (x_dx >= 0 && x_dx < lenx && y_dy >= 0 && y_dy < leny && z_dz >= 0 && z_dz < lenz) {
if ((maze[x_dx][y_dy][z_dz] & IN_MAZE) == 0)
passBool = 1;
}
}
/* Connect this square to the maze. */
maze[x][y][z] &= ~((1 << d) | IN_MAZE);
maze[x + dx[d]][y + dy[d]][z + dz[d]] &= ~(1 << (d ^ 1));
/* Remember the surrounding squares, which aren't... */
for (d = 0; d < 6; ++d) {
x_dx = x + dx[d];
y_dy = y + dy[d];
z_dz = z + dz[d];
if (x_dx >= 0 && x_dx < lenx && y_dy >= 0 && y_dy < leny && z_dz >= 0 && z_dz < lenz) {
if ((maze[x_dx][y_dy][z_dz] & QUEUED) != 0) {
/* ...connected to the maze, and aren't yet queued. */
todo[todonum++] = [x_dx, y_dy, z_dz];
maze[x_dx][y_dy][z_dz] &= ~QUEUED;
}
}
}
/* Repeat until finished. */
}
/* Add an entrance and exit. */
maze[0][Math.floor(leny/2)][0] &= ~WALL_LEFT;
maze[lenx - 1][Math.floor(leny/2)][lenz - 1] &= ~WALL_RIGHT;
}
/* Called to write the maze to an SVG file. */
this.printSVG = function () {
var lenx = this.lenx;
var leny = this.leny;
var lenz = this.lenz;
var cell_width = this.cell_width;
var pics_xy = Math.ceil(Math.sqrt(lenz));
var size_x = (lenx + 1) * pics_xy * cell_width + cell_width;
var size_y = (leny + 1) * pics_xy * cell_width + cell_width;
println
(
"<svg width=\"" + size_x + "px\" height=\"" + size_y + "px\" viewBox=\"0 0 " + size_x + " " + size_y + "\" version=\"1.1\" xmlns=\"http://www.w3.org/2000/svg\">\n"
+ " <title>SVG Maze</title>\n"
+ " <desc>A 3D maze generated using a modified version of Prim's algorithm. Vertical layers are numbered starting from the bottom layer to the top. Stairs up are indicated with '/'; stairs down with '\\', and stairs up-and-down with 'x'. License is Cc-by-sa-3.0. See Wikimedia Commons for the algorithm used.</desc>\n"
+ "<!--\n"
+ " <rect width=\"" + size_x + "px\" height=\"" + size_y + "px\" style=\"fill:blue;\" />\n"
+ "-->\n"
+ " <g stroke=\"black\" stroke-width=\"1\" stroke-linecap=\"round\">\n"
+ this.drawMaze()
+ " </g>\n"
+ " <g fill=\"black\">\n"
+ this.drawLabels()
+ " </g>\n"
+ "</svg>\n"
);
}
/* Main maze-drawing loop. */
this.drawMaze = function () {
var x, y, z;
var lenx = this.lenx;
var leny = this.leny;
var lenz = this.lenz;
var cell_width = this.cell_width;
var pics_xy = Math.ceil(Math.sqrt(lenz));
var outstring = "";
for (z = 0; z < lenz; ++z) {
var row_x = cell_width + cell_width * (lenx + 1) * (z % pics_xy);
var row_y = cell_width + cell_width * (leny + 1) * Math.floor(z / pics_xy);
for (y = 0; y < leny; ++y) {
for (x = 0; x < lenx; ++x) {
if ((this.maze[x][y][z] & WALL_ABOVE) != 0) {
var x1_pos = row_x + cell_width * x;
var y1_pos = row_y + cell_width * y;
var x2_pos = row_x + cell_width * (x + 1);
var y2_pos = row_y + cell_width * y;
outstring += this.drawLine(x1_pos, y1_pos, x2_pos, y2_pos);
}
if ((this.maze[x][y][z] & WALL_BELOW) != 0) {
var x1_pos = row_x + cell_width * x;
var y1_pos = row_y + cell_width * (y + 1);
var x2_pos = row_x + cell_width * (x + 1);
var y2_pos = row_y + cell_width * (y + 1);
outstring += this.drawLine(x1_pos, y1_pos, x2_pos, y2_pos);
}
if ((this.maze[x][y][z] & WALL_LEFT) != 0) {
var x1_pos = row_x + cell_width * x;
var y1_pos = row_y + cell_width * y;
var x2_pos = row_x + cell_width * x;
var y2_pos = row_y + cell_width * (y + 1);
outstring += this.drawLine(x1_pos, y1_pos, x2_pos, y2_pos);
}
if ((this.maze[x][y][z] & WALL_RIGHT) != 0) {
var x1_pos = row_x + cell_width * (x + 1);
var y1_pos = row_y + cell_width * y;
var x2_pos = row_x + cell_width * (x + 1);
var y2_pos = row_y + cell_width * (y + 1);
outstring += this.drawLine(x1_pos, y1_pos, x2_pos, y2_pos);
}
if ((this.maze[x][y][z] & WALL_FRONT) == 0) {
var x1_pos = row_x + cell_width/3 + cell_width * x;
var y1_pos = row_y + cell_width/3 + cell_width * y;
var x2_pos = row_x - cell_width/3 + cell_width * (x + 1);
var y2_pos = row_y - cell_width/3 + cell_width * (y + 1);
outstring += this.drawLine(x1_pos, y1_pos, x2_pos, y2_pos);
}
if ((this.maze[x][y][z] & WALL_BACK) == 0) {
var x1_pos = row_x + cell_width/3 + cell_width * x;
var y1_pos = row_y - cell_width/3 + cell_width * (y + 1);
var x2_pos = row_x - cell_width/3 + cell_width * (x + 1);
var y2_pos = row_y + cell_width/3 + cell_width * y;
outstring += this.drawLine(x1_pos, y1_pos, x2_pos, y2_pos);
}
}
}
}
return outstring;
}
/* Draw a line, either in the SVG file or on the screen. */
this.drawLine = function (x1, y1, x2, y2) {
return " <line x1=\"" + x1 + "\" y1=\"" + y1 + "\" x2=\"" + x2 + "\" y2=\"" + y2 + "\" />\n";
}
/* Text labels. */
this.drawLabels = function () {
var z;
var lenx = this.lenx;
var leny = this.leny;
var lenz = this.lenz;
var cell_width = this.cell_width;
var pics_xy = Math.ceil(Math.sqrt(lenz));
var outstring = "";
for (z = 0; z < lenz; ++z) {
var row_x = cell_width + cell_width * (lenx + 1) * (z % pics_xy);
var row_y = cell_width + cell_width * (leny + 1) * Math.floor(z / pics_xy);
outstring += this.drawText(row_x, row_y, z + 1);
}
return outstring;
}
/* Text labels. */
this.drawText = function (x, y, label) {
var cell_width = this.cell_width;
y -= cell_width/10;
return " <text x=\"" + x + "\" y=\"" + y + "\" font-size=\"" + cell_width + "px\" font-family=\"LucidaTypewriter Sans\">" + label + ".</text>\n";
}
}
/* Initialization method that will be called when the program is
* run from the command-line. Maze will be written as SVG file. */
function main(args) {
var m = new Maze();
m.createMaze();
m.printSVG();
}
/* execute the program */
main();
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8 gen 2011
56 085 byte
image/svg+xml
e29909406b83108462078268fca742ea77d53e66
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| Data/Ora | Miniatura | Dimensioni | Utente | Commento | |
|---|---|---|---|---|---|
| attuale | 10:28, 8 gen 2011 | 400 × 400 (55 KB) | wikimediacommons>Datumizer | Double the size. |
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