public static IEnumerable <FunctionTerm> BernsteinPolynomialBasis(int length)
{
if (length < 0)
{
throw new ArgumentOutOfRangeException("length");
}
ValueTerm variable = Variable("x");
int degree = length - 1;
return
((
from index in Enumerable.Range(0, length)
select Product
(
Constant(Scalars.BinomialCoefficient(degree, index)),
Exponentiation(variable, Constant(index)),
Exponentiation(Difference(Constant(1), variable), Constant(degree - index))
)
.Abstract(variable)
)
.ToArray());
}
