public AlgebraFiniteFieldBigInteger(
BigInteger prime,
int power)
{
if (!ToolsMathBigIntegerPrime.IsPrime(prime))
{
throw new Exception("Number " + prime.ToString() + " is not prime");
}
size = prime.Pow(power);
}
public AlgebraFiniteFieldGenericPrime(IAlgebraInteger <IntegerType> algebra, IntegerType prime)
{
if (!ToolsMathBigIntegerPrime.IsPrime(algebra.ToBigInteger(prime)))
{
throw new Exception("Number " + prime.ToString() + " is not prime");
}
Prime = prime;
Algebra = algebra;
ElementCount = Algebra.ToBigInteger(prime);
AddIdentity = new FiniteFieldElement <IntegerType>(this, Algebra.AddIdentity);
MultiplyIdentity = new FiniteFieldElement <IntegerType>(this, Algebra.MultiplyIdentity);
}
public void TestIsPrime()
{
Assert.IsFalse(ToolsMathBigIntegerPrime.IsPrime(4), "4 is not prime");
Assert.IsFalse(ToolsMathBigIntegerPrime.IsPrime(8), "8 is not prime");
Assert.IsFalse(ToolsMathBigIntegerPrime.IsPrime(9), "9 is not prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(2), "2 is prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(3), "3 is prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(5), "5 is prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(7), "7 is prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(11), "11 is prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(13), "13 is prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(17), "17 is prime");
Assert.IsTrue(ToolsMathBigIntegerPrime.IsPrime(23), "23 is prime");
}