freifunk-app/node_modules/art/core/transform.js

var Class = require('./class');

function Transform(xx, yx, xy, yy, x, y){
	if (xx && typeof xx == 'object'){
		yx = xx.yx; yy = xx.yy; y = xx.y;
		xy = xx.xy; x = xx.x; xx = xx.xx;
	}
	this.xx = xx == null ? 1 : xx;
	this.yx = yx || 0;
	this.xy = xy || 0;
	this.yy = yy == null ? 1 : yy;
	this.x = (x == null ? this.x : x) || 0;
	this.y = (y == null ? this.y : y) || 0;
	this._transform();
	return this;
};

module.exports = Class({

	initialize: Transform,

	_transform: function(){},

	xx: 1, yx: 0, x: 0,
	xy: 0, yy: 1, y: 0,

	transform: function(xx, yx, xy, yy, x, y){
		var m = this;
		if (xx && typeof xx == 'object'){
			yx = xx.yx; yy = xx.yy; y = xx.y;
			xy = xx.xy; x = xx.x; xx = xx.xx;
		}
		if (!x) x = 0;
		if (!y) y = 0;
		return this.transformTo(
			m.xx * xx + m.xy * yx,
			m.yx * xx + m.yy * yx,
			m.xx * xy + m.xy * yy,
			m.yx * xy + m.yy * yy,
			m.xx * x + m.xy * y + m.x,
			m.yx * x + m.yy * y + m.y
		);
	},

	transformTo: Transform,

	translate: function(x, y){
		return this.transform(1, 0, 0, 1, x, y);
	},

	move: function(x, y){
		this.x += x || 0;
		this.y += y || 0;
		this._transform();
		return this;
	},

	scale: function(x, y){
		if (y == null) y = x;
		return this.transform(x, 0, 0, y, 0, 0);
	},

	rotate: function(deg, x, y){
		if (x == null || y == null){
			x = (this.left || 0) + (this.width || 0) / 2;
			y = (this.top || 0) + (this.height || 0) / 2;
		}

		var rad = deg * Math.PI / 180, sin = Math.sin(rad), cos = Math.cos(rad);

		this.transform(1, 0, 0, 1, x, y);
		var m = this;

		return this.transformTo(
			cos * m.xx - sin * m.yx,
			sin * m.xx + cos * m.yx,
			cos * m.xy - sin * m.yy,
			sin * m.xy + cos * m.yy,
			m.x,
			m.y
		).transform(1, 0, 0, 1, -x, -y);
	},

	moveTo: function(x, y){
		var m = this;
		return this.transformTo(m.xx, m.yx, m.xy, m.yy, x, y);
	},

	rotateTo: function(deg, x, y){
		var m = this;
		var flip = m.yx / m.xx > m.yy / m.xy ? -1 : 1;
		if (m.xx < 0 ? m.xy >= 0 : m.xy < 0) flip = -flip;
		return this.rotate(deg - Math.atan2(flip * m.yx, flip * m.xx) * 180 / Math.PI, x, y);
	},

	scaleTo: function(x, y){
		// Normalize
		var m = this;

		var h = Math.sqrt(m.xx * m.xx + m.yx * m.yx);
		m.xx /= h; m.yx /= h;

		h = Math.sqrt(m.yy * m.yy + m.xy * m.xy);
		m.yy /= h; m.xy /= h;

		return this.scale(x, y);
	},

	resizeTo: function(width, height){
		var w = this.width, h = this.height;
		if (!w || !h) return this;
		return this.scaleTo(width / w, height / h);
	},

	/*
	inverse: function(){
		var a = this.xx, b = this.yx,
			c = this.xy, d = this.yy,
			e = this.x, f = this.y;
		if (a * d - b * c == 0) return null;
		return new Transform(
			d/(a * d-b * c), b/(b * c-a * d),
			c/(b * c-a * d), a/(a * d-b * c),
			(d * e-c * f)/(b * c-a * d), (b * e-a * f)/(a * d-b * c)
		);
	},
	*/

	inversePoint: function(x, y){
		var a = this.xx, b = this.yx,
			c = this.xy, d = this.yy,
			e = this.x, f = this.y;
		var det = b * c - a * d;
		if (det == 0) return null;
		return {
			x: (d * (e - x) + c * (y - f)) / det,
			y: (a * (f - y) + b * (x - e)) / det
		};
	},

	point: function(x, y){
		var m = this;
		return {
			x: m.xx * x + m.xy * y + m.x,
			y: m.yx * x + m.yy * y + m.y
		};
	}	

});