Functionality from fda

We should provide the functionality offered by the R fda package. The following is the list of functionalities provided in the fda package, their implementation status and how are they implemented.

Classes

Class (fda)	Status	Class (Python)	Comments
fd	Implemented	FDataBasis
fdPar	Unimplemented
fdSmooth	Unimplemented
Taylor	Unimplemented

Functions

Function (fda)	Status	Function (Python)	Comments
AmpPhaseDecomp	Unimplemented
argvalsy.swap	Unnecessary
arithmetic.basisfd	Review	Overload equality operator
arithmetic.fd	Review	Overload several operators
as.array3	Unnecessary
as.fd	Partial	FDataBasis constructor	Missing construct from spline objects
as.POSIXct1970	Unnecessary
axisIntervals	Unnecessary
basisfd.product	Review	Overload of multiplication OR new function
bifd	Unimplemented	FDataBasis constructor	Missing support for multiple dimensions
bifdPar	Unnecessary	The functions should accept a list of parameters instead
bsplinepen	Implemented	penalty method overwritten in BSpline class
bsplineS	Implemented	_compute_matrix method overwritten in BSpline class
CanadianWeather	Unimplemented	Part of a dataset API
cca.fd	Unimplemented
center.fd	Unimplemented
checkDim3	Unnecessary
checkLogical	Unnecessary
checkLogicalInteger	Unnecessary
checkNumeric	Unnecessary
coef.fd	Partial	coefficients attribute of FDataBasis	Missing for other classes
cor.fd	Review		Probably unnecessary since it is implemented by discretization
CRAN	Unnecessary
create.basis	Implemented	Constructor of an object derived from Basis
create.bspline.basis	Implemented	Constructor of BSpline
create.constant.basis	Unimplemented
create.exponential.basis	Unimplemented
create.fourier.basis	Implemented	Constructor of Fourier
create.monomial.basis	Implemented	Constructor of Monomial
create.polygonal.basis	Unimplemented
create.power.basis	Unimplemented
CSTR	Unimplemented	Part of a dataset API
cycleplot.fd	Unimplemented	Part of a plotting API