/// <summary>
/// Divide the specified polynomials.
/// </summary>
/// <param name="left">The left polynomial.</param>
/// <param name="right">The right polynomial.</param>
/// <param name="remainder">The remainder.</param>
/// <returns>The result.</returns>
public static Polynomial DivRem(Polynomial left, Polynomial right, out Polynomial remainder)
{
if (left.Degree >= right.Degree)
{
Polynomial q = new Polynomial(0);
while (left.Degree >= right.Degree)
{
Polynomial d = right * Polynomial.OfDegree(left.Degree - right.Degree, 1);
q[left.Degree - right.Degree] = left[left.Degree] / d[d.Degree];
d = d * q[left.Degree - right.Degree];
left = left - d;
if (left.Degree == 0 && right.Degree == 0)
{
remainder = left;
return new Polynomial(0);
}
}
remainder = left;
return q;
}
else
{
remainder = left;
return new Polynomial(0);
}
}
/// <summary>
/// Determines whether the Polynomials are equal.
/// </summary>
/// <param name="other">The other Polynomial.</param>
/// <returns>Whether the Polynomials are equal.</returns>
public bool Equals(Polynomial other)
{
if (this.Degree != other.Degree) return false;
for (int i = 0; i < this.Coefficients.Length; i++)
{
if (!this.Coefficients[i].Equals(other.Coefficients[i])) return false;
}
return true;
}
/// <summary>
/// Divide the specified polynomials.
/// </summary>
/// <param name="left">The left polynomial.</param>
/// <param name="right">The right polynomial.</param>
/// <returns>The result.</returns>
public static Polynomial operator /(Polynomial left, Polynomial right)
{
if (left.Degree >= right.Degree)
{
Polynomial q = new Polynomial(0);
while (left.Degree >= right.Degree)
{
Polynomial d = right * OfDegree(left.Degree - right.Degree, 1);
q[left.Degree - right.Degree] = left[left.Degree] / d[d.Degree];
d = d * q[left.Degree - right.Degree];
left = left - d;
if (left.Degree == 0 && right.Degree == 0) return new Polynomial(0);
}
return q;
}
else
{
return new Polynomial(0);
}
}