item(i: number): number {
		if (0 > i || i >= this.dimension) {
			showError("あうと おぶ ばうんず");
			throw "あうと おぶ ばうんず";
		}
		return this.data[i];
	}

	mulMatEach(m: Matrix): this {
		if (m.dimension != this.dimension) {
			showError("型が違って計算できない");
			throw "型が違って計算できない";
		}
		for (let i = 0; i < this.dimension * this.dimension; i++)
			this.data[i] *= m.data[i];
		return this;
	}

	transform(v: Vector): this {
		if (v.dimension != this.dimension) {
			showError("次元が違うエラー");
			throw "次元が違うエラー";
		}
		for (let i = 0; i < this.dimension; i++)
			this.data[(this.dimension - 1) * this.dimension + i] += v.data[i];
		return this;
	}

	mulVec(v: Vector): this {
		if (v.dimension != this.dimension) {
			showError("型が違って計算できない");
			throw "型が違って計算できない";
		}
		for (let i = 0; i < this.dimension; i++)
			this.data[i] *= v[i];
		return this;
	}

	/** for temporal use */
	mapping(d: number, map: string): Matrix {
		if (d * d != map.length) {
			showError("次元が違うエラー");
			throw "次元が違うエラー";
		}
		var keys = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ";
		var result = map.split("").map(v => this.data[keys.indexOf(v)]);
		return new Matrix(d, result);
	}

	scale(v: Vector): this {
		if (v.dimension != this.dimension) {
			showError("次元が違うエラー");
			throw "次元が違うエラー";
		}
		for (let i = 0; i < this.dimension; i++)
			for (let j = 0; j < this.dimension - 1; j++)
				this.data[j * this.dimension + i] *= v.data[i];
		return this;
	}

	padding(m: Matrix, x1: number, y1: number): this {
		if (this.dimension < m.dimension - Math.max(x1, y1)) {
			showError("次元が違うエラー");
			throw "次元が違うエラー";
		}
		for (let x = x1; x < x1 + m.dimension; x++) {
			for (let y = x1; y < y1 + m.dimension; y++) {
				this.data[x * this.dimension + y] = m.data[(x - x1) * m.dimension + (y - y1)];
			}
		}
		return this;
	}

	constructor(d: number, array?: number[]) {
		this.dimension = d;
		if (array == undefined) {
			array = new Array(d);
			for (let i = 0; i < d; i++)
				array[i] = 0;
		}
		this.data = array;
		if (array.length != d) {
			showError("Matrix.ts 指定されたarrayの長さが合わない。");
			return;
		}
	}

	/*getPerspective(tonD: number, fovFirstAxis: number, aspects: number[], near: number, far: number, oneAxis: number, devNumAxis: number): this {
		var f = Math.tan(Math.PI * 0.5 - 0.5 * fovFirstAxis);
		if (tonD != aspects.length + 1 || tonD >= this.dimension) {
			showError("次元が違うエラー");
			throw "次元が違うエラー";
		}
		this.getId();
		//this.data[x * this.dimension + y];
		for (let y = 0; y < tonD; y++) {
			this.data[y * this.dimension + y] = y == 0 ? f : f / aspects[y - 1];
		}
		// tonD番目の要素を計算するための式
		this.data[tonD * this.dimension + tonD] = -1; //2 / (far - near);
		this.data[oneAxis * this.dimension + tonD] = (near + far) / (near - far); //far / (near - far);
		// devNumAxis番目の要素を計算するための式
		this.data[tonD * this.dimension + devNumAxis] = near * far / (near - far) * 2 //1;
		this.data[devNumAxis * this.dimension + devNumAxis] = 0;
		return this;
	}*/
	slice(x1: number, x2: number, y1: number, y2: number) {
		if (x1 > x2 || y1 > y2 || x1 < 0 || y1 < 0 || x2 >= this.dimension || y2 >= this.dimension) {
			showError("あうと おぶ ばうんず");
			throw "あうと おぶ ばうんず";
		}
		var result: number[] = [];
		for (let y = y1; y <= y2; y++) {
			for (let x = x1; x <= x2; x++) {
				result.push(this.data[x * this.dimension + y]);
			}
		}
		return result;
	}