public void WriteFactors(TextWriter file)
{
if (file == null)
{
return;
}
file.WriteLine("The prime factors of {0}! ", this.n);
var sum = this.n - XMath.BitCount(this.n);
file.Write("2^{0}", sum);
for (var p = 0; p < this.card; p++)
{
int f = this.primeList[p], m = this.multiList[p];
sum += m;
if (m > 1)
{
file.Write("*{0}^{1}", f, m);
}
else
{
file.Write("*{0}", f);
}
}
file.WriteLine();
file.WriteLine("Number of different factors: {0} ", this.card);
file.WriteLine("Number of all factors: {0} ", sum);
}
public XInt Factorial(int n)
{
if (n < 0)
{
throw new ArithmeticException(
this.Name + ": " + nameof(n) + " >= 0 required, but was " + n);
}
this.oddFactNdiv4 = this.oddFactNdiv2 = XInt.One;
return(this.OddFactorial(n) << (n - XMath.BitCount(n)));
}
public XInt Factorial(int n)
{
if (n < 20)
{
return(XMath.Factorial(n));
}
var log2N = XMath.FloorLog2(n);
var j = log2N;
var hN = n;
this.primeList = new int[log2N][];
this.listLength = new int[log2N];
this.bound = new int[log2N];
this.tower = new int[log2N + 1];
while (true)
{
this.tower[j] = hN;
if (hN == 1)
{
break;
}
this.bound[--j] = hN / 3;
var pLen = hN < 4 ? 6 : (int)(2.0 * (XMath.FloorSqrt(hN)
+ (double)hN / (XMath.Log2(hN) - 1)));
this.primeList[j] = new int[pLen];
hN >>= 1;
}
this.tower[0] = 2;
this.PrimeFactors(n);
var init = this.listLength[0] == 0 ? 1 : 3;
var oddFactorial = new XInt(init);
var results = new XInt[log2N];
Parallel.For(1, log2N, i =>
results[i] = XMath.Product(this.primeList[i], 0, this.listLength[i])
);
for (var i = 1; i < log2N; i++)
{
oddFactorial = XInt.Pow(oddFactorial, 2);
oddFactorial = oddFactorial * results[i];
}
return(oddFactorial << (n - XMath.BitCount(n)));
}
public XInt Factorial(int n)
{
if (n < 20)
{
return(XMath.Factorial(n));
}
this.cache = new Dictionary <int, CachedPrimorial>();
this.sieve = new PrimeSieve(n);
var pLen = (int)(2.0 * (XMath.FloorSqrt(n)
+ (double)n / (XMath.Log2(n) - 1)));
this.primeList = new int[pLen];
var exp2 = n - XMath.BitCount(n);
return(this.RecFactorial(n) << exp2);
}
public XInt Factorial(int n)
{
if (n < 20)
{
return(XMath.Factorial(n));
}
var sieve = new PrimeSieve(n);
this.results = new IAsyncResult[XMath.FloorLog2(n)];
this.swingDelegate = Swing; this.taskCounter = 0;
var N = n;
// -- It is more efficient to add the big swings
// -- first and the small ones later!
while (N >= Smallswing)
{
this.results[this.taskCounter++] = this.swingDelegate.BeginInvoke(sieve, N, null, null);
N >>= 1;
}
return(this.RecFactorial(n) << (n - XMath.BitCount(n)));
}
public XInt Factorial(int n)
{
if (n < 0)
{
throw new System.ArgumentOutOfRangeException(
this.Name + ": " + nameof(n) + " >= 0 required, but was " + n);
}
if (n < 20)
{
return(XMath.Factorial(n));
}
var lgN = XMath.FloorLog2(n);
var piN = 2 + (15 * n) / (8 * (lgN - 1));
this.primeList = new int[piN];
this.multiList = new int[piN];
var len = this.PrimeFactors(n);
var exp2 = n - XMath.BitCount(n);
return(this.RepeatedSquare(len, 1) << exp2);
}