Arotation               Rotation axis and angle of rotation given a
                        rotation matrix
Directional-package     This is an R package that provides methods for
                        the statistical analysis of directional data,
                        including massive (very large scale)
                        directional data.
ESAG.da                 Cross validation for estimating the
                        classification rate of a discrminant analysis
                        for directional data assuming an ESAG
                        distribution
ESAGda.pred             Prediction of a new observation using
                        discriminant analysis based on ESAGdistribution
ESAGmle                 MLE of the ESAG distribution
ESAGsim                 Random values generation from the ESAG
                        distribution
bic.mixvmf              BIC to choose the number of components in a
                        model based clustering using mixtures of von
                        Mises-Fisher distributions
circ.cor1               Circular correlations between two circular
                        variables
circ.cors1              Circular correlations between two circular
                        variables
circ.summary            Summary statistics for circular data
circlin.cor             Circular-linear correlation
colspml.mle             Column-wise MLE of the angular Gaussian and the
                        von Mises Fisher distributions
conc.test               A test for testing the equality of the
                        concentration parameter among g samples, where
                        g >= 2 for ciruclar data
cosap                   Conversion of cosines to azimuth and plunge
cosnn                   The k-nearest neighbours using the cosinus
                        distance
dirda.cv                Cross validation for estimating the
                        classification rate
dirknn                  k-NN algorithm using the arc cosinus distance
dirknn.tune             k-NN algorithm using the arc cosinus distance.
                        Tuning the k neigbours
etoa                    Transform unit vectors to angular data
euclid                  Euclidean transformation
euclid.inv              Inverse of the Euclidean transformation
eul2rot                 Construct a rotation matrix on SO(3) from the
                        Euler angles.
f.rbing                 Simulating from a Bingham distribution
fb.saddle               Saddlepoint approximations of the
                        Fisher-Bingham distributions
fishkent                Hypothesis test for von Mises-Fisher
                        distribution over Kent distribution
ggvm                    MLE of the geometrically generalised von Mises
                        distribution
group.gof               Goodness of fit test for grouped data
group.vm                Summary statistics for grouped circular data
habeck.rot              Generation of three-dimensional random
                        rotations using Habeck's algorithm.
hcf.aov                 Analysis of variance for (hyper-)spherical data
hcf.circaov             Analysis of variance for circular data
hcfcirc.perm            Permutation based 2-sample mean test for
                        circular data
iag.reg                 Spherical regression using the projected normal
                        or the von Mises-Fisher distribution
iagesag                 Hypothesis test for IAG distribution over the
                        ESAG distribution
kent.contour            Contour plot of the Kent distribution without
                        any data
kent.datacontour        Contour plot of the Kent distribution for some
                        data
kent.density            Density of the spherical Kent and ESAG
                        distributions
kent.logcon             Logarithm of the Kent distribution normalizing
                        constant
kent.mle                MLe of the Kent distribution
knn.reg                 k-NN regression with Euclidean or
                        (hyper-)spherical response and or predictor
                        variables
knnreg.tune             Tuning of the k-NN regression with Euclidean or
                        (hyper-)spherical response and or predictor
                        variables
kuiper                  Uniformity tests for circular data.
lambert                 Lambert's equal area projection
lambert.inv             Inverse of Lambert's equal area projection
makefolds               Generate random folds for cross-validation
matrixfisher.mle        Mle of the Matrix Fisher distribution on SO(3)
meandir.test            Test for a given mean direction
mediandir               Fast calculation of the spherical and
                        hyperspherical median
mix.vmf                 Mixtures of Von Mises-Fisher distributions
mixvmf.contour          Contour plot of a mixture of von Mises-Fisher
                        distributions model for spherical data only.
multivm.mle             MLE of some circular distributions with
                        multiple samples
purka.mle               MLE of the Purkayashta distribution
pvm                     Probability density function of the von
                        Mises-Fisher distribution
quat2rot                Converting an unsigned unit quaternion to
                        rotation matrix on SO(3)
racg                    Angular central Gaussian random values
                        simulation
rayleigh                Rayleigh's test of uniformity
rbingham                Simulation from a Bingham distribution using
                        any symmetric matrix A
read.fbm                Read a file as a Filebacked Big Matrix
rfb                     Simulation of random values from a spherical
                        Fisher-Bingham distribution
rkent                   Simulation of random values from a spherical
                        Kent distribution
rmatrixfisher           Simulation from a Matrix Fisher distribution on
                        SO(3)
rmixvmf                 Random values simulation from a mixture of von
                        Mises-Fisher distributions
rot.matrix              Rotation matrix from a rotation axis and angle
                        of rotation
rot2eul                 Compute the Euler angles from a rotation matrix
                        on SO(3).
rot2quat                Converting a rotation matrix on SO(3) to an
                        unsigned unit quaternion
rotation                Rotation matrix to rotate a spherical vector
                        along the direction of another
rsop                    Random sample of matrices in SO(p)
rvmf                    Random values simulation from a von
                        Mises-Fisher distribution
rvonmises               Random values simulation from some circular
                        distributions
spher.cor               Spherical-spherical correlation
spher.reg               Spherical-Spherical regression
spherconc.test          Test for equality of concentration parameters
                        for spherical data
sphereplot              Interactive 3D plot of spherical data
spml.fbed               Forward Backward Early Dropping selection for
                        circular data using the SPML regression
spml.mle                MLE of some circular distributions
spml.reg                Circular or angular regression
spml.regs               Many simple circular or angular regressions
tang.conc               A test for testing the equality of the
                        concentration parameter among g samples, where
                        g >= 2 for ciruclar data
vec                     Unit vector(s) with a given angle
visual.check            Check visually whether matrix Fisher samples is
                        correctly generated or not.
vm.density              Density of some circular distributions
vm.kde                  Kernel density estimation of circular data with
                        a von Mises kernel
vm.nb                   Naive Bayes classifiers for directional data
vmf                     MLE of (hyper-)spherical distributions
vmf.contour             Contour plots of the von Mises-Fisher
                        distribution on the sphere
vmf.da                  Cross validation for estimating the
                        classification rate of a discrminant analysis
                        for directional data assuming a von
                        Mises-Fisher distribution
vmf.density             Density of some (hyper-)spherical distributions
vmf.kde                 Kernel density estimation for (hyper-)spherical
                        data using a von Mises-Fisher kernel
vmf.kerncontour         Contour plot of spherical data using a von
                        Mises-Fisher kernel density estimate
vmfda.pred              Prediction of a new observation using
                        discriminant analysis based on von Mises-Fisher
                        distribution
vmfkde.tune             Tuning of the bandwidth parameter in the von
                        Mises-Fisher kernel for (hyper-)spherical data
vmkde.tune              Tuning of the bandwidth parameter in the von
                        Mises kernel for circular data
vmnb.pred               Prediction with some naive Bayes classifiers
                        for circular data
wood.mle                MLe of the Wood bimodal distribution on the
                        sphere
