public PolynomialOverFiniteField Mul(PolynomialOverFiniteField firstArg, PolynomialOverFiniteField secondArg)
{
int firstDeg = firstArg.Deg;
int secondDeg = secondArg.Deg;
if (firstDeg == -1 || secondDeg == -1)
{
return(new PolynomialOverFiniteField(new Polynomial[] { new Polynomial(new BigInteger[] { 0 }) }));
}
int maxdegree = firstDeg + secondDeg;
Polynomial[] result = new Polynomial[maxdegree + 1];
for (int i = 0; i <= firstDeg; i++)
{
for (int j = 0; j <= secondDeg; j++)
{
if (result[i + j] == null)
{
result[i + j] = new Polynomial(new BigInteger[] { 0 });
}
result[i + j] = _polynomialMath.Add(result[i + j], _polynomialMath.Mul(firstArg[i], secondArg[j]));
}
}
return(new PolynomialOverFiniteField(result, Mod, FieldChar));
}
public Tuple <Polynomial, Polynomial, Polynomial> FindBezoutCoefficients(Polynomial firstArg, Polynomial secondArg)
{
var polyMath = new PolynomialMath(-1);
Polynomial u0 = new Polynomial(new BigInteger[] { 1 });
Polynomial u1 = new Polynomial(new BigInteger[] { 0 });
Polynomial v0 = new Polynomial(new BigInteger[] { 0 });
Polynomial v1 = new Polynomial(new BigInteger[] { 1 });
Polynomial u2, v2, q0, r2;
Polynomial r0 = firstArg;
Polynomial r1 = secondArg;
while (r1.Deg != -1)
{
q0 = polyMath.Div(r0, r1);
u2 = polyMath.Sub(u0, polyMath.Mul(q0, u1));
v2 = polyMath.Sub(v0, polyMath.Mul(q0, v1));
r2 = polyMath.Add(polyMath.Mul(u2, firstArg), polyMath.Mul(v2, secondArg));
r0 = r1;
r1 = r2;
u0 = u1;
u1 = u2;
v0 = v1;
v1 = v2;
}
return(new Tuple <Polynomial, Polynomial, Polynomial>(u0, v0, r0));
}
