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	Implemented	Lfd	Currently we use a list of coefficients in some cases.
Taylor	Unimplemented

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	Unimplemented	Part of a register API
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
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
geigen	Unnecessary
getbasismatrix	Implemented	evaluate method of class Basis
getbasispenalty	Implemented	penalty method in Basis class
getbasisrange	Implemented	domain_range attribute in Basis class
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
lambda2df	Unimplemented
lambda2gcv	Unimplemented
landmarkreg	Unimplemented	Part of a register API
lines.fd	Unimplemented	Part of a plotting API
linmod	Unimplemented	Part of a machine learning API
lmeWinsor	Unimplemented
lmWinsor	Unimplemented
matplot	Unimplemented	Part of a plotting API
mean.fd	Implemented	mean method in FDataBasis class
monfn	Unimplemented
monomial	Implemented	_compute_matrix method overwritten in Monomial class
monomialpen	Implemented	penalty method overwritten in Monomial class
norder	Implemented	order attribute in BSpline class
objAndNames	Unnecessary
odesolv	Unnecessary
pca.fd	Unimplemented
pda.fd	Unimplemented
pda.overlay	Unimplemented	Part of a plotting API
phaseplanePlot	Unimplemented	Part of a plotting API
plot.basisfd	Implemented	plot method in Basis class
plot.cca.fd	Unimplemented	Part of a plotting API
plot.fd	Implemented	plot method in FDataBasis class
plot.Lfd	Unimplemented	Part of a plotting API
plot.lmWinsor	Unimplemented	Part of a plotting API
plot.pca.fd	Unimplemented	Part of a plotting API
plot.pda.fd	Unimplemented	Part of a plotting API
plotbeta	Unimplemented	Part of a plotting API
plotfit	Unimplemented	Part of a plotting API
plotreg.fd	Unimplemented	Part of a plotting API
plotscores	Unimplemented	Part of a plotting API
polyg	Unimplemented
polygpen	Unimplemented
powerbasis	Unimplemented
powerpen	Unimplemented
ppBspline	Unnecessary
predict.fRegress	Unimplemented	Part of a machine learning API
predict.lmeWinsor	Unimplemented
predict.lmWinsor	Unimplemented
project.basis	Implemented	from_data factory method of class FDataBasis
quadset	Unnecessary
readHMD	Unimplemented	Part of a dataset API
register.fd	Unimplemented	Part of a register API
register.fd0	Unimplemented	Part of a register API
register.newfd	Unimplemented	Part of a register API
residuals.fRegress	Unimplemented	Part of a machine learning API
sd.fd	Unimplemented
smooth.basis	Review
smooth.basisPar	Unnecessary
smooth.bibasis	Unnecessary	Smoothing should be extended to several dimensions
smooth.fd	Unimplemented
smooth.fdPar	Unimplemented
smooth.monotone	Unimplemented
smooth.morph	Unimplemented
smooth.pos	Unimplemented
sum.fd	Unimplemented
summary.basisfd	Unimplemented
summary.bifd	Unnecessary
summary.fd	Unimplemented
summary.fdPar	Unimplemented
summary.Lfd	Unimplemented
symsolve	Unnecessary
TaylorSpline	Unimplemented
tperm.fd	Unimplemented
var.fd	Implemented
varmx	Unnecessary
varmx.cca.fd	Unimplemented
varmx.pca.fd	Unimplemented
vec2Lfd	Unnecessary
wtcheck	Unnecessary
zerofind	Unnecessary