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/// A very simple class for complex numbers
function Complex (x, y) {
this.x = x;
this.y = y;
this.add= complex_add;
this.mul= complex_mul;
this.toString= complex_toString;
}
function complex_toString () {
return this.x + (this.y > 0 ? " + " + this.y + "i" : this.y < 0 ? " - " + -this.y + "i" : "");
}
function complex_add (c) {
return new Complex(this.x + c.x, this.y + c.y);
}
function complex_mul (c) {
return new Complex(this.x * c.x - this.y * c.y, this.x + c.y + this.y * c.x);
}
/// A class to represent a degree 2 polynomial equation with real coefficients.
function Equation (a, b, c) {
this.a = a;
this.b = b;
this.c = c;
this.toString= equation_toString;
this.solve= equation_solve;
}
function equation_toString () {
return this.a + "x^2 + " + this.b + "x + " + this.c
}
function equation_solve () {
var a = this.a, b = this.b, c = this.c
var det = b * b - 4 * a * c;
var sdet = Math.sqrt(Math.abs(det));
var _2a = 2 * a;
if (det >= 0) return [new Complex((-b - sdet) / _2a, 0), new Complex((-b + sdet) / _2a, 0)];
else return [new Complex(-b / _2a, -sdet / _2a), new Complex(-b / _2a, sdet / _2a)];
}
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