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.
asia                    maps of the world and the continents
bic.mixvmf              BIC to choose the number of components in a
                        model based clustering using mixtures of
                        rotationally symmetric distributions
circ.cor1               Circular correlations between two circular
                        variables
circ.cors1              Circular correlations between two circular
                        variables
circ.dcor               Circular distance correlation 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
colwatsons              Column-wise uniformity tests for circular data
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
desag                   Density of the spherical ESAG and Kent
                        distributions
dirda                   Prediction of a new observation using
                        discriminant analysis based on some
                        distributions
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
dmixvmf                 Density of a mixture of rotationally symmetric
                        distributions
dsespc                  Density of the SESPC distribution
dvm                     Density of some circular distributions
dvmf                    Density of some (hyper-)spherical distributions
dwood                   Density of the Wood bimodal distribution on the
                        sphere
esag.contour            Contour plot (on the plane) of the ESAG and
                        Kent and ESAG distributions without any data
esag.mle                MLE of the ESAG distribution
esag.reg                Spherical regression using the ESAG
                        distribution
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
gcpc.means.test         Two sample location test for circular data
                        under the GCPC 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.
haversine.dist          Harvesine distance matrix
hcf.aov                 Analysis of variance for (hyper-)spherical data
hcf.boot                Bootstrap 2-sample mean test for
                        (hyper-)spherical data
hcf.circaov             Analysis of variance for circular data
hcf.perm                Permutation based 2-sample mean test for
                        (hyper-)spherical data
hcfboot                 Bootstrap ANOVA for (hyper-)spherical data
hcfcirc.boot            Bootstrap 2-sample mean test for circular data
hcfcirc.perm            Permutation based 2-sample mean test for
                        circular data
hcfcircboot             Bootstrap ANOVA for circular data
hspher.reg              Hyper spherical-spherical regression
iag.reg                 Spherical regression using rotationally
                        symmetric distributions
iagesag                 Hypothesis test for IAG distribution over the
                        ESAG distribution
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
mixvmf.contour          Contour plot of a mixture of von Mises-Fisher
                        distributions model for spherical data only.
mixvmf.mle              Mixtures of rotationally symmetric
                        distributions
multivm.mle             MLE of some circular distributions with
                        multiple samples
nsmedian                Normalised spatial median for directional data
pc.test                 Hypothesis test for SIPC distribution over the
                        SESPC distribution
ptest                   Projections based test of uniformity
purka.mle               MLE of the Purkayashta distribution
pvm                     Cumulative distribution function of circular
                        distributions
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
resag                   Simulation of random values from the ESAG
                        distribution
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                 Simulation of random values from a mixture of
                        rotationally symmetric 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
rsespc                  Simulation of random values from the SESPC
                        distribution
rsop                    Random sample of matrices in SO(p)
rvmf                    Simulation of random values from rotationally
                        symmetric distributions
rvonmises               Simulation of random values from some circular
                        distributions
score.cipc              Score test for many simple CIPC and SPML
                        regressions
sespc.mle               MLE of the SESPC distribution
sespc.reg               Spherical regression using the SESPC
                        distribution
spcauchy2test           Two sample location test for (hyper-)spherical
                        data
spher.cor               Spherical-spherical correlation
spher.dcor              Spherical and hyper-spherical distance
                        correlation
spher.esag.contour      Contour plot (on the sphere) of the ESAG and
                        Kent distributions
spher.mixvmf.contour    Contour plot (on the sphere) of a mixture of
                        von Mises-Fisher distributions
spher.reg               Spherical-Spherical regression
spher.sespc.contour     Contour plot (on the sphere) of the SESPC
                        distribution
spher.vmf.contour       Contour plot (on the sphere) of some spherical
                        rotationally symmetric distributions
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                     Generation of unit vector(s) with a given angle
visual.check            Check visually whether matrix Fisher samples is
                        correctly generated or not.
vm.kde                  Kernel density estimation of circular data with
                        a von Mises kernel
vm.nb                   Naive Bayes classifiers for directional data
vmf.contour             Contour plots of some rotationally symmetric
                        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
vmf.mle                 MLE of (hyper-)spherical rotationally symmetric
                        distributions
vmfkde.tune             Tuning of the bandwidth parameter in the von
                        Mises-Fisher kernel for (hyper-)spherical data
vmfreg                  (Hyper-)spherical regression using the
                        rotational symmetric distributions
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
