var QRMath = require('./QRMath');

function QRPolynomial(num, shift) {
	if (num.length == undefined) {
		throw new Error(num.length + "/" + shift);
	}

	var offset = 0;

	while (offset < num.length && num[offset] == 0) {
		offset++;
	}

	this.num = new Array(num.length - offset + shift);
	for (var i = 0; i < num.length - offset; i++) {
		this.num[i] = num[i + offset];
	}
}

QRPolynomial.prototype = {

	get : function(index) {
		return this.num[index];
	},
	
	getLength : function() {
		return this.num.length;
	},
	
	multiply : function(e) {
	
		var num = new Array(this.getLength() + e.getLength() - 1);
	
		for (var i = 0; i < this.getLength(); i++) {
			for (var j = 0; j < e.getLength(); j++) {
				num[i + j] ^= QRMath.gexp(QRMath.glog(this.get(i) ) + QRMath.glog(e.get(j) ) );
			}
		}
	
		return new QRPolynomial(num, 0);
	},
	
	mod : function(e) {
	
		if (this.getLength() - e.getLength() < 0) {
			return this;
		}
	
		var ratio = QRMath.glog(this.get(0) ) - QRMath.glog(e.get(0) );
	
		var num = new Array(this.getLength() );
		
		for (var i = 0; i < this.getLength(); i++) {
			num[i] = this.get(i);
		}
		
		for (var i = 0; i < e.getLength(); i++) {
			num[i] ^= QRMath.gexp(QRMath.glog(e.get(i) ) + ratio);
		}
	
		// recursive call
		return new QRPolynomial(num, 0).mod(e);
	}
};

module.exports = QRPolynomial;
