public void FindNthRoot()
{
Assert.AreEqual(6, NTTUtility.FindNthRoot(7, 1));
Assert.AreEqual(5, NTTUtility.FindNthRoot(13, 2));
Assert.AreEqual(2, NTTUtility.FindNthRoot(17, 3));
Assert.AreEqual(3, NTTUtility.FindNthRoot(17, 4));
Assert.AreEqual(-1, NTTUtility.FindNthRoot(17, 5));
}
public void FindMinPrime()
{
for (int n = 1; n > 0; n <<= 1)
{
var(p, d) = NTTUtility.FindMinPrime(n);
Console.WriteLine($"n = {n}: p = {p}, d = {d}");
}
}
public void FindPrimes()
{
var n = 1 << 23;
Console.WriteLine($"n = {n}");
foreach (var(p, d) in NTTUtility.FindPrimes(n, 800000000, int.MaxValue))
{
Console.WriteLine($"p = {p}, d = {d}");
}
}
public void FindMinGenerator()
{
Assert.AreEqual(1, NTTUtility.FindMinGenerator(2));
Assert.AreEqual(2, NTTUtility.FindMinGenerator(3));
Assert.AreEqual(2, NTTUtility.FindMinGenerator(5));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(7));
Assert.AreEqual(2, NTTUtility.FindMinGenerator(13));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(17));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(31));
Assert.AreEqual(6, NTTUtility.FindMinGenerator(41));
Assert.AreEqual(5, NTTUtility.FindMinGenerator(97));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(65537));
Assert.AreEqual(2, NTTUtility.FindMinGenerator(200003));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(7340033));
Assert.AreEqual(15, NTTUtility.FindMinGenerator(13631489));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(104857601));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(167772161));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(469762049));
Assert.AreEqual(11, NTTUtility.FindMinGenerator(754974721));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(998244353));
Assert.AreEqual(3, NTTUtility.FindMinGenerator(1004535809));
Assert.AreEqual(10, NTTUtility.FindMinGenerator(1107296257));
Assert.AreEqual(31, NTTUtility.FindMinGenerator(2013265921));
}
