// Cloned by Tristan Everitt on 3 Oct 2022 from World "Breadth-first search " by "Coding Train" project
// Please leave this clone trail here.
// Breadth-first search
// Port from:
// Daniel Shiffman
// Nature of Code: Intelligence and Learning
// https://github.com/shiffman/NOC-S17-2-Intelligence-Learning
// Modified to do random graphs with random labels
// Find path from start to destination
// Looks at nearest nodes first
// then at nodes 1 level beyond each of those
// ...
// Finds a (joint) shortest path
// random number of nodes each time round
let NONODES = AB.randomIntAtoB(5, 15);
let NOCONNECTIONS = NONODES * AB.randomIntAtoB(1, 2);
let graph;
let queue = [];
// "rest distance" between nodes
const springLength = 200;
//=== graph.js ================================================================
// This is the graph object
function Graph() {
// It has an object to store all nodes by label
this.graph = {};
// It has a redundant array to iterate through all the nodes
this.nodes = [];
// Start and end
this.start = null;
this.end = null;
}
// Set start
Graph.prototype.setStart = function (node) {
this.start = node;
};
// Set end
Graph.prototype.setEnd = function (node) {
this.end = node;
};
// Add a node
Graph.prototype.addNode = function (label) {
// Create the node
let n = new Node(label);
// Keep track of it
this.graph[label] = n;
this.nodes.push(n);
// Return a reference back
return n;
};
// Draw everything
Graph.prototype.show = function () {
for (const node of this.nodes) {
node.showEdges();
}
for (const node of this.nodes) {
node.show();
}
};
// Simulate some physics!
Graph.prototype.simulate = function () {
// First node always in center
this.nodes[0].pos.set(width / 2, height / 2);
// Look at every node against every other node
for (let i = 1; i < this.nodes.length; i++) {
let node1 = this.nodes[i];
for (let j = 0; j < this.nodes.length; j++) {
// Nodes don't interact with themselves!
if (i === j) continue;
let node2 = this.nodes[j];
// A vector that points between the nodes
let force = p5.Vector.sub(node1.pos, node2.pos);
let dist = force.mag();
// What is spring force?
let spring = 0;
let k = 0.06;
// If they are connected calculate
if (node1.isConnected(node2) || node2.isConnected(node1)) {
spring = k * (springLength - dist);
}
// All nodes need their own space even if not connected
let separate = 1 / (dist * k);
// Apply the force!
force.setMag(spring + separate);
node1.vel.add(force);
// Slow down velocity so that it dampens over time
node1.vel.mult(0.95);
}
}
// Add velocity to position for all nodes
for (const node of this.nodes) {
node.pos.add(node.vel);
}
};
//=== node.js ================================================================
// Daniel Shiffman
// Nature of Code: Intelligence and Learning
// https://github.com/shiffman/NOC-S17-2-Intelligence-Learning
// An object for an individual node
function Node(label) {
// Nodes have physics now!
this.pos = createVector(random(width), random(height));
this.vel = createVector();
// And a color
this.col = color(0);
// The "label" or "value"
this.label = label;
// An array of edges
this.edges = [];
// Parent
this.parent = null;
// Searched?
this.searched = false;
// on queue?
this.onqueue = false;
}
// Is this node connected to another node?
Node.prototype.isConnected = function (neighbor) {
let index = this.edges.indexOf(neighbor);
return (index >= 0);
};
// Draw!
Node.prototype.show = function () {
textAlign(CENTER);
let w = textWidth(this.label);
stroke(255);
fill(this.col);
ellipse(this.pos.x, this.pos.y, w * 2, w * 2);
fill(255);
noStroke();
text(this.label, this.pos.x, this.pos.y);
};
// Highlight!
Node.prototype.highlight = function () {
this.col = color(0, 150, 0);
};
// Draw connections as lines
Node.prototype.showEdges = function () {
noFill();
stroke(255);
for (const edge of this.edges) {
line(this.pos.x, this.pos.y, edge.pos.x, edge.pos.y);
}
};
function connect(n, m)
// connect two Nodes
// connect both ways
// do not do duplicate connections
{
if (!n.isConnected(m)) n.edges.push(m);
if (!m.isConnected(n)) m.edges.push(n);
}
//=== sketch.js ================================================================
// Based on
// Grokking Algorithms
// http://amzn.to/2n7KF4h
function setup() {
createCanvas(ABWorld.fullwidth(), ABWorld.fullheight());
graph = new Graph();
let start = graph.addNode('START'); // graph.nodes[0]
let dest = graph.addNode('DEST'); // graph.nodes[1]
let i, c, d;
// add (NONODES-2) further random nodes
for (i = 2; i <= NONODES - 1; i++) {
let s = Math.random().toString(36).substring(9);
// https://stackoverflow.com/questions/1349404/generate-random-string-characters-in-javascript
graph.addNode(s);
}
// random connections
// connect start and end to 2 random nodes
for (i = 1; i <= 2; i++) {
c = AB.randomIntAtoB(2, NONODES - 1);
connect(graph.nodes[0], graph.nodes[c]);
}
for (i = 1; i <= 2; i++) {
c = AB.randomIntAtoB(2, NONODES - 1);
connect(graph.nodes[1], graph.nodes[c]);
}
// make some random other connections
for (i = 1; i <= NOCONNECTIONS; i++) {
c = AB.randomIntAtoB(2, NONODES - 1);
d = AB.randomIntAtoB(2, NONODES - 1);
connect(graph.nodes[c], graph.nodes[d]);
}
graph.setStart(start);
graph.setEnd(dest);
bfs();
}
function draw() {
background(51);
graph.simulate();
graph.show();
}
function highlightPath(n)
// just found goal node - now highlight path back to start
{
let subclock = 0;
n.highlight();
while (n !== graph.start) {
// guard against infinite loop - useful while debugging so tab does not crash
if (subclock > 1000) break;
subclock++;
n = n.parent;
n.highlight();
}
}
function bfs() {
let clock = 0;
let found = false;
queue.push(graph.start);
//--- start of while ------------------------------------------
while (queue.length > 0) {
// guard against infinite loop
if (clock > 10000) break;
clock++;
let person = queue.shift();
if (!person.searched) {
console.log("======");
console.log("start of search of " + person.label);
if (person === graph.end) {
console.log("found goal node: " + person.label);
highlightPath(person);
found = true;
queue = [];
break;
} else {
console.log("checking neighbours of " + person.label);
for (const n of person.edges) {
if (n === graph.end) {
n.parent = person;
console.log("found goal node: " + n.label);
highlightPath(n);
found = true;
queue = [];
break;
} else if (!n.onqueue) // do not add twice
{
console.log("adding neighbour " + n.label + " to queue");
queue.push(n);
n.parent = person;
n.onqueue = true;
}
}
person.searched = true;
console.log("end of search of " + person.label);
}
}
}
//--- end of while ------------------------------------------
if (!found)
console.log("No path found");
}