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.

Legend

Symbol	Meaning
✅	Implemented
🅾️	Unimplemented
🅿️	Partial
🆔	Review
📴	Unnecessary

Classes

Class (fda)	Status	Class (Python)	Comments
fd	✅	FDataBasis
fdPar	🅾️
fdSmooth	🅾️
Lfd	✅	Lfd	Currently we use a list of coefficients in some cases.
Taylor	🅾️

Datasets

Dataset	Available
CanadianWeather	✅
gait	✅
growth	✅
handwrit	✅
infantGrowth	🅾️
landmark.reg.expData	🅾️
lip	🅾️
melanoma	🅾️
MontrealTemp	🅾️
nondurables	🅾️
onechild	🅾️
pinch	🅾️
refinery	🅾️
ReginaPrecip	🅾️
seabird	🅾️
StatSciChinese	🅾️

Functions

Function (fda)	Status	Function (Python)	Comments
AmpPhaseDecomp	✅	fda.registration.mse_decomposition
argvalsy.swap	📴
arithmetic.basisfd	✅	Equality operator for Basis
arithmetic.fd	✅	Overload several operators for FDataBasis
as.array3	📴
as.fd	🅿️	FDataBasis constructor	Missing construct from spline objects
as.POSIXct1970	📴
axisIntervals	📴
basisfd.product	✅	basis_of_product method of Basis objects
bifd	✅	FDataBasis constructor
bifdPar	📴	The functions should accept a list of parameters instead
bsplinepen	✅	penalty method overwritten in BSpline class
bsplineS	✅	_compute_matrix method overwritten in BSpline class
cca.fd	🅾️
center.fd	🅾️	Can be easily implemented using the mean method
checkDim3	📴
checkLogical	📴
checkLogicalInteger	📴
checkNumeric	📴
coef.fd	🅿️	coefficients attribute of FDataBasis	Missing for other classes
cor.fd	🆔		Probably unnecessary since it is implemented by discretization
CRAN	📴
create.basis	✅	Constructor of an object derived from Basis
create.bspline.basis	✅	Constructor of BSpline
create.constant.basis	✅	Constructor of Constant
create.exponential.basis	🅾️
create.fourier.basis	✅	Constructor of Fourier
create.monomial.basis	✅	Constructor of Monomial
create.polygonal.basis	🅾️
create.power.basis	🅾️
CSTR	🅾️	Part of a dataset API
cycleplot.fd	🅾️	Part of a plotting API
Data2fd	✅	from_data factory method of class FDataBasis	Review and replace strings with enums
dateAccessories	📴
density.fd	🅾️
deriv.fd	✅
df.residual.fRegress	🅾️
df2lambda	🅾️
dirs	📴
Eigen	📴
eigen.pda	🅾️
eval.basis	✅	evaluate method of class Basis	Missing linear operator support
eval.bifd	📴
eval.fd	✅	evaluate method and __call__ operator of class FDataBasis
eval.monfd	🅾️
eval.penalty	✅	penalty objects
eval.posfd	🅾️
evaldiag.bifd	📴
expon	🅾️
exponentiate.fd	🅾️
exponpen	🅾️
fbplot	✅	fda.fdata_boxplot.FDataBoxplot
fd2list	📴
fdaMatlabPath	📴
fdlabels	🅾️
file.copy2	📴
fourier	✅	_compute_matrix method overwritten in Fourier class
fourierpen	✅	penalty method overwritten in Fourier class
Fperm.fd	🅾️
fRegress	🅾️	Part of a machine learning API
fRegress.CV	🅾️
fRegress.stderr	🅾️
Fstat.fd	🅾️
geigen	📴
getbasismatrix	✅	evaluate method of class Basis
getbasispenalty	✅	penalty method in Basis class
getbasisrange	✅	domain_range attribute in Basis class
inprod	🆔
inprod.bspline	🆔
int2Lfd	✅	Constructor of the Lfd class
intensity.fd	🅾️
is.basis	📴
is.eqbasis	📴
is.fd	📴
is.fdPar	📴
is.fdSmooth	📴
is.Lfd	📴
knots.fd	✅	knots attribute in BSpline class
lambda2df	🅾️
lambda2gcv	🅾️
landmarkreg	✅	fda.registration.landmark_registration
lines.fd	✅	plot method of class FDataBasis
linmod	🅾️	Part of a machine learning API
lmeWinsor	🅾️
lmWinsor	🅾️
matplot	📴	It does not seem to use functional data at all
mean.fd	✅	mean method in FDataBasis class
monfn	🅾️
monomial	✅	_compute_matrix method overwritten in Monomial class
monomialpen	✅	penalty method overwritten in Monomial class
norder	✅	order attribute in BSpline class
objAndNames	📴
odesolv	📴
pca.fd	✅
pda.fd	🅾️
pda.overlay	🅾️	Part of a plotting API
phaseplanePlot	🅾️	Part of a plotting API
plot.basisfd	✅	plot method in Basis class
plot.cca.fd	🅾️	Part of a plotting API
plot.fd	✅	plot method in FDataBasis class
plot.Lfd	🅾️	Part of a plotting API
plot.lmWinsor	🅾️	Part of a plotting API
plot.pca.fd	✅	Part of a plotting API
plot.pda.fd	🅾️	Part of a plotting API
plotbeta	🅾️	Part of a plotting API
plotfit	🅾️	Part of a plotting API
plotreg.fd	🅾️	Part of a plotting API
plotscores	🅾️	Part of a plotting API
polyg	🅾️
polygpen	🅾️
powerbasis	🅾️
powerpen	🅾️
ppBspline	📴
predict.fRegress	🅾️	Part of a machine learning API
predict.lmeWinsor	🅾️
predict.lmWinsor	🅾️
project.basis	✅	from_data factory method of class FDataBasis
quadset	📴
readHMD	🅾️	Part of a dataset API
register.fd	🅾️	Part of a register API
register.fd0	✅	fda.registration.shift_registration
register.newfd	✅	Can be done with the compose method
residuals.fRegress	🅾️	Part of a machine learning API
sd.fd	🅾️
smooth.basis	🆔
smooth.basisPar	📴
smooth.bibasis	📴	Smoothing should be extended to several dimensions
smooth.fd	🅾️
smooth.fdPar	🅾️
smooth.monotone	🅾️
smooth.morph	🅾️
smooth.pos	🅾️
sum.fd	🅾️
summary.basisfd	🅾️
summary.bifd	📴
summary.fd	🅾️
summary.fdPar	🅾️
summary.Lfd	🅾️
symsolve	📴
TaylorSpline	🅾️
tperm.fd	🅾️
var.fd	✅
varmx	📴
varmx.cca.fd	🅾️
varmx.pca.fd	🅾️
vec2Lfd	📴
wtcheck	📴
zerofind	📴