public bool Equals(Equation3 other)
{
return(
Mathx.IsEqual(this.x, other.x) &&
Mathx.IsEqual(this.y, other.y) &&
Mathx.IsEqual(this.z, other.z) &&
Mathx.IsEqual(this.w, other.w)
);
}
public static QuadraticEquation FromPoints(Vector2 A, Vector2 B, Vector2 C)
{
var Ea = new Equation3(A.x * A.x, A.x, 1.0f, A.y);
var Eb = new Equation3(B.x * B.x, B.x, 1.0f, B.y);
var Ec = new Equation3(C.x * C.x, C.x, 1.0f, C.y);
var Eba = (Ea - Eb).WithZeroC();
var Ecb = (Eb - Ec).WithZeroC();
if (!Eba.IsValid() || !Ecb.IsValid())
{
return(invalid);
}
var nEba = Eba.WithNormalizedB();
var a = Ecb.EvaluateA(nEba);
var b = Ecb.EvaluateB(a);
var c = Ec.EvaluateC(a, b);
return(new QuadraticEquation(a, b, c));
}
