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
Lfd	Unimplemented		Currently we use a list of coefficients. A class could be better.
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
Data2fd	Implemented	from_data factory method of class FDataBasis	Review and replace strings with enums
dateAccessories	Unnecessary
density.fd	Unimplemented
deriv.fd	Ongoing
df.residual.fRegress	Unimplemented
df2lambda	Unimplemented
dirs	Unnecessary
Eigen	Unnecessary
eigen.pda	Unimplemented
eval.basis	Implemented	evaluate method of class Basis	Missing linear operator support
eval.bifd	Unnecessary
eval.fd	Implemented	evaluate method and __call__ operator of class FDataBasis
eval.monfd	Unimplemented
eval.penalty	Implemented	penalty method in Basis class
eval.posfd	Unimplemented
evaldiag.bifd	Unnecessary
expon	Unimplemented
exponentiate.fd	Unimplemented
exponpen	Unimplemented
fbplot	Unimplemented	Part of a plotting API
fd2list	Unnecessary
fdaMatlabPath	Unnecessary
fdlabels	Unimplemented
file.copy2	Unnecessary
fourier	Implemented	_compute_matrix method overwritten in Fourier class
fourierpen	Implemented	penalty method overwritten in Fourier class
Fperm.fd	Unimplemented
fRegress	Unimplemented	Part of a machine learning API
fRegress.CV	Unimplemented
fRegress.stderr	Unimplemented
Fstat.fd	Unimplemented
gait	Unimplemented	Part of a dataset API
geigen	Unnecessary
getbasismatrix	Implemented	evaluate method of class Basis
getbasispenalty	Implemented	penalty method in Basis class
getbasisrange	Implemented	domain_range attribute in Basis class
growth	Unimplemented	Part of a dataset API
handwrit	Unimplemented	Part of a dataset API
infantGrowth	Unimplemented	Part of a dataset API
inprod	Review
inprod.bspline	Review
int2Lfd	Unimplemented
intensity.fd	Unimplemented
is.basis	Unnecessary
is.eqbasis	Unnecessary
is.fd	Unnecessary
is.fdPar	Unnecessary
is.fdSmooth	Unnecessary
is.Lfd	Unnecessary
knots.fd	Implemented	knots attribute in BSpline class