matrix.js

// 矩陣相加
var plus = function(arr1,arr2){

	var res = matrix(arr1.length,arr1[0].length);
	if(typeof arr2==="number"){
		for(var i=0;i<arr1.length;i++)
			for(var j=0;j<arr1[0].length;j++)
				res[i][j] = arr1[i][j]+arr2;
	}
	else{
		for(var i=0;i<arr1.length;i++)
			for(var j=0;j<arr1[0].length;j++)
				res[i][j] = arr1[i][j]+arr2[i][j];
		return res;
	}
};

// 矩陣相減 (arr1 , arr2 || val)
var minus = function(arr1,arr2){
	var res = matrix(arr1.length,arr1[0].length);
	if(typeof arr2==="number"){
		for(var i=0;i<arr1.length;i++)
			for(var j=0;j<arr1[0].length;j++)
				res[i][j] = arr1[i][j]-arr2;
	}
	else{
		for(var i=0;i<arr1.length;i++)
			for(var j=0;j<arr1[0].length;j++)
				res[i][j] = arr1[i][j]-arr2[i][j];
		return res;
	}
};


// 矩陣相除 (arr1 , arr2 || val)
var divided = function(arr1,arr2){
	var res = matrix(arr1.length,arr1[0].length);
	if(typeof arr2==="number"){
		for(var i=0;i<arr1.length;i++)
			for(var j=0;j<arr1[0].length;j++)
				res[i][j] = arr1[i][j]/arr2;
	}
	else{
		for(var i=0;i<arr1.length;i++)
			for(var j=0;j<arr1[0].length;j++)
				res[i][j] = arr1[i][j]/arr2[i][j];
		return res;
	}
};



// 矩陣相乘 (arr1 , arr2 || val)
var times = function(arr1,arr2){
	var res = matrix(arr1.length,arr2[0].length);
	if(typeof arr2==="number"){
		for(var i=0;i<arr1.length;i++)
			for(var j=0;j<arr1[0].length;j++)
				res[i][j] = arr1[i][j]*arr2;
	}
	else{
		for(var k=0;k<arr2[0].length;k++)
	 		for(var i=0;i<arr1.length;i++){
				var sum = 0;
				for(var j=0;j<arr1[i].length;j++)
					sum += arr1[i][j]*arr2[j][k];
				res[i][k] = sum;
			}
	}
 	return res;
};


// 轉置矩陣
var T = function(arr){
	var res = matrix(arr[0].length,arr.length);
	for(var i=0;i<arr.length;i++)
		for(var j=0;j<arr[0].length;j++)
			res[j][i] = arr[i][j];
	return res;
};


// 指定大小的 空矩陣 matrix(SizeX,SizeY)
var m = function(x,y){
	return matrix(x,y);
};


// 填充矩陣 (arr,value/function)
var fill = function(arr,value){
	if(typeof value==="function"){
		for (var i = 0; i < arr.length; i++) 
			for (var j = 0; j < arr[0].length; j++) 
				arr[i][j] = value(arr[i][j]);
	}
	else{
		for (var i = 0; i < arr.length; i++) 
			for (var j = 0; j < arr[0].length; j++) 
				arr[i][j] = value;
	}
	return arr;
};

// 空矩陣
function matrix(x,y){
	var res = [];
	for(var a=0;a<x;a++){
		var row = [];
		for(var b=0;b<y;b++) row.push(null);
		res.push(row);
	}	
	return res;
}

// show res
function show(arr){
	var res = "";
	for (var i = 0; i < arr.length; i++) 
			for (var j = 0; j < arr[0].length; j++) 
				res+=arr[i][j]+",";
			res+="<br>";
}