Computes the Chebyshev coefficients from a given function and cheb list

Also checks to ensure the cheb$T matrix is orthogonal The rounding down to 0 in the beginning is to account for numerical precision and is controlled by the tolerance parameter The function f only takes one argument

calculateChebyshevCoefficients(f, cheb, tolerance = 1e-12)

Arguments

f	Function to be approximated (function)
cheb	List of item from initalizeChebyshevApproximator (list)
tolerance	Numerical Tolerance for rounding down

Value

A list of Chebyshev coefficients (matrix)