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k-mean.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Title</title>
</head>
<body>
<div id="k-mean">
</div>
</body>
<script>
function KMeans(options) {
this.options = options;
this.flag = false;
this.xy = options.data || this.createDots(this.options.num);
this.centerDots = this.selectCenterDots(this.xy);
this.init();
}
KMeans.prototype = {
constructor: KMeans,
init: function () {
var centerDots = this.centerDots;
this.drawing(this.xy);
this.paintDots(this.ctx, this.centerDots, "black");
this.study(centerDots);
},
study: function (centerDots) {
clearTimeout(this.timerId);
if(this.flag) return;
var _this = this;
var source = centerDots;
this.paintDots(this.ctx, centerDots, "transparent");
var disArr = this.calcDistance(centerDots);
var adjData = this.classifyDots(centerDots, disArr);
this.repaintDots(adjData.classDotsArr);
centerDots = this.adjustCenterDots(adjData.classDotsArr);
if (_this.equals(centerDots,source)) {
clearTimeout(this.timerId);
_this.paintDots(this.ctx, centerDots, "black");
this.flag = true;
}
_this.timerId = setTimeout(function () {
_this.study(centerDots);
}, 1000);
},
dataX: function () {
return Math.floor(Math.random() * 400);
},
dataY: function () {
return Math.floor(Math.random() * 200);
},
createDots: function (num) {
var num = num || 0;
var tempArrX = [];
var tempArrY = [];
for (var i = 0; i < num; i++) {
tempArrX.push(this.dataX());
tempArrY.push(this.dataY());
}
return this.formatArr(tempArrX, tempArrY);
},
formatArr: function (arr1, arr2) {
var arr = new Array(arr1.length);
arr1.forEach(function (v, i) {
arr[i] = {"x": v};
});
arr2.forEach(function (v, i) {
arr[i]["y"] = v;
});
return arr;
},
drawing: function (dots) {
var canvas = document.createElement('canvas');
//将canvas对象保存到this实例对象中，方便全局调用。
canvas.width = 600;
canvas.height = 300;
this.ctx = canvas.getContext('2d');
this.paintDots(this.ctx, dots, "red");
var wrap = document.querySelector('#k-mean');
wrap.appendChild(canvas);
},
paintDots: function (ctx, dots, color) {
//根据dots绘制小圆点。默认颜色为黑色。
for (var i = 0; i < dots.length; i++) {
ctx.beginPath();
ctx.fillStyle = color;
ctx.arc(dots[i].x + 10, dots[i].y + 10, 3, 0, 2 * Math.PI, true);
ctx.strokeStyle = color;
ctx.stroke();
ctx.fill();
ctx.closePath();
}
},
selectCenterDots: function (dots) {
var arr = [];
var length = dots.length;
for (var i = 0; i < this.options.amount; i++) {
arr.push(dots[Math.floor(Math.random() * length)]);
}
return arr;
},
/**
*
* @param centerDots
* @returns {Array} [[d1,d2...,d100],[...],[...]]
*/
calcDistance: function (centerDots) {
//存放中心点到每个点的距离。
var arr = new Array(this.options.amount);
var dots = this.xy;
var amount = this.options.amount;
for (var i = 0; i < amount; i++) {
var distance = 0;
arr[i] = [];
for (var j = 0; j < dots.length; j++) {
distance = Math.pow((centerDots[i].x - dots[j].x), 2) + Math.pow((centerDots[i].y - dots[j].y), 2);
arr[i].push(Math.sqrt(distance));
}
}
return arr;
},
/**
* 将点进行分类。
* @param centerDots [[d1,d2...],[d1,d2...],[d1,d2...]]
* @param disArr
* @returns {{classDisArr: Array, classDotsArr: Array}} {[[d1,d2...],[d1,d2...],[d1,d2...]]
* classDisArr 是分类之后的距离。 classDotsArr 是分类只有的点 第一类 第二类 第三类
*/
classifyDots: function (centerDots, disArr) {
//初始化一个二维数组，保存分类之后的点。
var classDotsArr = new Array(this.options.amount);
//初始化一个二维空数组，保存距离参数。
var arr = new Array(this.options.amount);
for (var k = 0; k < this.options.amount; k++) {
arr[k] = [];
classDotsArr[k] = [];
}
var length = this.options.num;
for (var i = 0; i < length; i++) {
var min = disArr[0][i];
var minIndex = 0;
for (var j = 0; j < this.options.amount; j++) {
if (disArr[j][i] < min) {
min = disArr[j][i];
minIndex = j;
}
}
arr[minIndex].push(min);
classDotsArr[minIndex].push(this.xy[i]);
}
return {'classDisArr': arr, 'classDotsArr': classDotsArr};
},
//找出最大x,y 和最小x,y 求平均值，将该点视为中心点。
adjustCenterDots: function (classDots) {
// 储存新的中心点
var arr = new Array(this.options.amount);
for (var i = 0; i < this.options.amount; i++) {
arr[i] = [];
var tempX = [];
var tempY = [];
for (var j = 0; j < classDots[i].length; j++) {
tempX.push(classDots[i][j].x);
tempY.push(classDots[i][j].y);
}
var maxX = this.findMax(tempX);
var minX = this.findMin(tempX);
var maxY = this.findMax(tempY);
var minY = this.findMin(tempY);
var x = (maxX + minX) / 2;
var y = (maxY + minY) / 2;
arr[i] = {x: x, y: y};
}
return arr;
},
findMin: function (arr) {
var min = arr[0];
for (var i = 0; i < arr.length; i++) {
if (arr[i] < min) {
min = arr[i];
}
}
return min;
},
findMax: function (arr) {
var max = arr[0];
for (var i = 0; i < arr.length; i++) {
if (arr[i] > max) {
max = arr[i];
}
}
return max;
},
repaintDots: function (classDots) {
var colorArr = ['red', 'blue', 'pink', 'purple', 'green'];
for (var i = 0; i < classDots.length; i++) {
this.paintDots(this.ctx, classDots[i], colorArr[i]);
}
},
equals: function (array1,array2) {
if (!array1 || !array2)
return false;
if (array1.length != array2.length)
return false;
for (var i = 0, l = array1.length; i < l; i++) {
if (array1[i] instanceof Array && array2[i] instanceof Array) {
if (!array1[i].equals(array2[i]))
return false;
}
else if (array1[i] instanceof Object && array2[i] instanceof Object) {
if(array1[i].x !== array2[i].x){
return false;
}
if(array1[i].y !== array2[i].y){
return false;
}
}
else if (array1[i] != array2[i]) {
return false;
}
}
return true;
}
};
var options = {'num': 100, 'amount': 3};
new KMeans(options);
</script>
</html>