static BigInteger CombinationsForPieces(Available available, int pieces, int maxSquares, Func <Available, BigInteger> downStream)
{
BigInteger sum = 0;
for (int i = 0; i <= pieces; i++)
{
Available nextAvailable = available.Minus(i);
int squares = Math.Min(nextAvailable.Squares, maxSquares);
long combinations = Maths.Combinations(squares, pieces);
BigInteger mult = downStream(nextAvailable);
BigInteger xy = combinations * mult;
sum = sum + xy;
}
return(sum);
}
static void Main(string [] args)
{
Func <Available, BigInteger> fn = x => 1;
fn = Pawns(fn); // pawn
fn = BlackAndWhite(GenericPiece(1), fn); // queen
fn = BlackAndWhite(GenericPiece(2), fn); // knight
fn = BlackAndWhite(GenericPiece(1, 32), fn); // black-square bishop
fn = BlackAndWhite(GenericPiece(1, 32), fn); // white-square bishop
fn = KingsAndRooks(fn);
Available available = new Available {
BlackSquares = 32, WhiteSquares = 32
};
// 2* - white or black to play
BigInteger result = 2 * fn(available);
Console.WriteLine(result);
Console.WriteLine(result.ToString().Length + " digits");
Maths.Display(result, 10);
Maths.Display(result, 2);
}
