public Expression Part(int delta)
{
var c = FiniteFunctions.Choose("x", delta);
var y = Table[delta + (1)][0];
return(c * y);
}
private Expression NewtonBackwardPart(int delta, Expression u)
{
var c = FiniteFunctions.Choose(u, delta, 1);
var y = Table[delta + (1)][Rows - 1];
return(c * y);
}
private Expression GalsBackwardPart(int delta, int index, Expression u, int i)
{
var c = FiniteFunctions.Choose(u - i, delta, 1);
var y = Table[delta + (1)][index];
return((y == null) ? null : c *y);
}
private Expression NewtonBackwardDiffPart(int delta, Expression u, int times)
{
var c = FiniteFunctions.ChooseWithDiff(u, delta, times, 1);
var y = Table[delta + (1)][Rows - 1];
return(y * c);
}
private Expression NewtonForwardPart(int delta, Expression u)
{
var c = FiniteFunctions.Choose(u, delta);
var y = Table[delta + (1)][0];
return(c * y);
}
private Expression GalsForwardPart(int delta, int index, Expression u, int i)
{
var c = FiniteFunctions.Choose(u + i, delta);
var y = Table[delta + (1)][index];
Console.WriteLine((y ?? -1).ToReal());
return((y == null) ? null : c *y);
}
private Expression NewtonForwardDiffPart(int delta, Expression u, int times)
{
var c = FiniteFunctions.ChooseWithDiff(u, delta, times, -1);
var y = Table[delta + (1)][0];
// (y.ToReal() + " * " + c.ToReal() + " = " + (y * c).ToReal()).Print();
return(y * c);
}
public Expression Part(int index, int high, int delta)
{
var c = FiniteFunctions.Choose(high, index);
var y = Expression.Pow(-1, index);
var x = FindAtX(high - index + delta);
return(c * y * x);
}
