Package: pcds 0.1.7

pcds: Proximity Catch Digraphs and Their Applications

Contains the functions for construction and visualization of various families of the proximity catch digraphs (PCDs) (see (Ceyhan (2005) ISBN:978-3-639-19063-2), for computing the graph invariants for testing the patterns of segregation and association against complete spatial randomness (CSR) or uniformity in one, two and three dimensional cases. The package also has tools for generating points from these spatial patterns. The graph invariants used in testing spatial point data are the domination number (Ceyhan (2011) <doi:10.1080/03610921003597211>) and arc density (Ceyhan et al. (2006) <doi:10.1016/j.csda.2005.03.002>; Ceyhan et al. (2007) <doi:10.1002/cjs.5550350106>). The PCD families considered are Arc-Slice PCDs, Proportional-Edge PCDs, and Central Similarity PCDs.

Authors:Elvan Ceyhan

pcds_0.1.7.tar.gz
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pcds.pdf |pcds.html
pcds/json (API)

# Install 'pcds' in R:
install.packages('pcds', repos = c('https://elvanceyhan.r-universe.dev', 'https://cloud.r-project.org'))

Peer review:

Bug tracker:https://github.com/elvanceyhan/pcds/issues

Datasets:

On CRAN:

5.80 score 2 packages 21 scripts 269 downloads 291 exports 88 dependencies

Last updated 1 years agofrom:00331843a0. Checks:OK: 1 WARNING: 6. Indexed: yes.

TargetResultDate
Doc / VignettesOKOct 16 2024
R-4.5-winWARNINGOct 16 2024
R-4.5-linuxWARNINGOct 16 2024
R-4.4-winWARNINGOct 16 2024
R-4.4-macWARNINGOct 16 2024
R-4.3-winWARNINGOct 16 2024
R-4.3-macWARNINGOct 16 2024

Exports:angle.str2endangle3pntsarcsASarcsAStriarcsCSarcsCS1DarcsCSend.intarcsCSintarcsCSmid.intarcsCStriarcsPEarcsPE1DarcsPEend.intarcsPEintarcsPEmid.intarcsPEtriarea.polygonas.basic.triASarc.dens.triasyvarCS1DasyvarCS2DasyvarCSend.intasyvarPE1DasyvarPE2DasyvarPEend.intbary2cartcart2barycenter.nondegPEcenterMccentersMccircumcenter.basic.tricircumcenter.tetracircumcenter.tricl2CCvert.regcl2CCvert.reg.basic.tricl2edges.std.tricl2edges.vert.reg.basic.tricl2edgesCCvert.regcl2edgesCMvert.regcl2edgesMvert.regcl2faces.vert.reg.tetracl2Mc.intCSarc.dens.testCSarc.dens.test.intCSarc.dens.test1DCSarc.dens.tridimensionDistdist.point2linedist.point2planedist.point2setdom.num.exactdom.num.greedyedge.reg.triCMfr2edgesCMedge.reg.std.trifr2vertsCCvert.regfr2vertsCCvert.reg.basic.triIarcASbasic.triIarcASset2pnt.triIarcAStriIarcCSbasic.triIarcCSedge.reg.std.triIarcCSend.intIarcCSintIarcCSmid.intIarcCSset2pnt.std.triIarcCSset2pnt.triIarcCSstd.triIarcCSstd.triRABIarcCSstd.triRACIarcCSstd.triRBCIarcCSt1.std.triIarcCSt1.std.triRABIarcCSt1.std.triRACIarcCSt1.std.triRBCIarcCStriIarcCStri.altIarcPEbasic.triIarcPEend.intIarcPEintIarcPEmid.intIarcPEset2pnt.std.triIarcPEset2pnt.triIarcPEstd.tetraIarcPEstd.triIarcPEtetraIarcPEtriIdom.num.up.bndIdom.num1ASbasic.triIdom.num1AStriIdom.num1CSintIdom.num1CSstd.triIdom.num1CSt1std.triIdom.num1PEbasic.triIdom.num1PEintIdom.num1PEstd.tetraIdom.num1PEtetraIdom.num1PEtriIdom.num2ASbasic.triIdom.num2AStriIdom.num2CSstd.triIdom.num2PEbasic.triIdom.num2PEstd.tetraIdom.num2PEtetraIdom.num2PEtriIdom.num3CSstd.triIdom.num3PEstd.tetraIdom.num3PEtetraIdom.num4CSstd.triIdom.num5CSstd.triIdom.num6CSstd.triIdom.numASup.bnd.triIdom.numCSup.bnd.std.triIdom.numCSup.bnd.triIdom.setAStriIdom.setCSstd.triIdom.setCStriIdom.setPEstd.triIdom.setPEtriin.circlein.tetrahedronin.tri.allin.triangleinci.matASinci.matAStriinci.matCSinci.matCS1Dinci.matCSintinci.matCSstd.triinci.matCStriinci.matPEinci.matPE1Dinci.matPEintinci.matPEstd.triinci.matPEtetrainci.matPEtriindex.delaunay.triindex.six.Teindices.delaunay.triintersect.line.circleintersect.line.planeintersect2linesinterval.indices.setis.in.datais.pointis.std.eq.trikfr2vertsCCvert.regLineLine3DlineA2CMinTelineA2MinTelineB2CMinTelineB2MinTelineC2MinTelineD1CCinTblineD2CCinTbmuCS1DmuCS2DmuCSend.intmuPE1DmuPE2DmuPEend.intNASbasic.triNAStriNCSintNCStriNPEbasic.triNPEintNPEstd.tetraNPEtetraNPEtrinum.arcsASnum.arcsAStrinum.arcsCSnum.arcsCS1Dnum.arcsCSend.intnum.arcsCSintnum.arcsCSmid.intnum.arcsCSstd.trinum.arcsCStrinum.arcsPEnum.arcsPE1Dnum.arcsPEend.intnum.arcsPEintnum.arcsPEmid.intnum.arcsPEstd.trinum.arcsPEtetranum.arcsPEtrinum.delaunay.triorder.dist2edges.std.triparalineparaline3DparaplanePdom.num2PE1DPdom.num2PE1DasyPdom.num2PEtriPEarc.dens.testPEarc.dens.test.intPEarc.dens.test1DPEarc.dens.tetraPEarc.dens.triPEdom.numPEdom.num.binom.testPEdom.num.binom.test1DPEdom.num.binom.test1DintPEdom.num.nondegPEdom.num.norm.testPEdom.num.tetraPEdom.num.triPEdom.num1DPEdom.num1Dnondegperplineperpline2planePlaneplotASarcsplotASarcs.triplotASregsplotASregs.triplotCSarcsplotCSarcs.intplotCSarcs.triplotCSarcs1DplotCSregsplotCSregs.intplotCSregs.triplotCSregs1DplotDelaunay.triplotIntervalsplotPEarcsplotPEarcs.intplotPEarcs.triplotPEarcs1DplotPEregsplotPEregs.intplotPEregs.std.tetraplotPEregs.tetraplotPEregs.triplotPEregs1Dprj.cent2edgesprj.cent2edges.basic.triprj.nondegPEcent2edgesradiiradiusrank.dist2edges.std.trirassoc.circularrassoc.maternrassoc.multi.trirassoc.std.trirassoc.trirassocII.std.trirel.edge.basic.trirel.edge.basic.triCMrel.edge.std.triCMrel.edge.trirel.edge.triCMrel.edges.trirel.edges.triCMrel.vert.basic.trirel.vert.basic.triCCrel.vert.basic.triCMrel.vert.end.intrel.vert.mid.intrel.vert.std.trirel.vert.std.triCMrel.vert.tetraCCrel.vert.tetraCMrel.vert.trirel.vert.triCCrel.vert.triCMrel.verts.trirel.verts.tri.nondegPErel.verts.triCCrel.verts.triCMrel.verts.triMrseg.circularrseg.multi.trirseg.std.trirseg.trirsegII.std.trirunif.basic.trirunif.multi.trirunif.std.tetrarunif.std.trirunif.std.tri.onesixthrunif.tetrarunif.triseg.tri.supportsix.extremaTeslopetri2std.basic.triXin.convex.hullY

Dependencies:abindbase64encbslibcachemclicolorspacecombinatcpp11deldirdigestdplyreafevaluatefansifarverfastmapfontawesomefsgenericsgeometryggplot2ggrepelgluegMOIPgtablehighrhtmltoolshtmlwidgetsinterpisobandjquerylibjsonliteknitrlabelinglatticelifecyclelinproglpSolvemagicmagrittrMASSMatrixmatrixStatsmemoisemgcvmimemisc3dmodeltoolsmunsellnlmepillarpkgconfigplot3DplotrixplyrpngpurrrR6rappdirsrbibutilsRColorBrewerRcppRcppArmadilloRcppEigenRcppGSLRcppParallelRcppProgressRcppZigguratRdpackRfastrglrlangrmarkdownsassscalesspstringistringrtibbletidyrtidyselecttinytexutf8vctrsviridisLitewithrxfunyaml

VS0 - Introduction to pcds

Rendered fromVS0_Intro.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS1.1 - Example: An Artificial 2D Dataset

Rendered fromVS1_1_2DArtiData.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS1.2 - A Real-Life Example: Swamp Tree Data

Rendered fromVS1_2_SwampTrees.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS1.3 - Example: An Artificial 1D Dataset

Rendered fromVS1_3_1DArtiData.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS2.1 - Illustration of PCDs in One Triangle

Rendered fromVS2_1_Triangle.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS2.2 - Illustration of PCDs in One Interval

Rendered fromVS2_2_Interval.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS2.3 - Illustration of PCDs in One Tetrahedron

Rendered fromVS2_3_Tetrahedron.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS3 - Spatial Point Patterns

Rendered fromVS3_SpatialPatterns.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS4 - Extrema in Delaunay Cells

Rendered fromVS4_Extrema.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

VS5 - Functions for Euclidean Geometry

Rendered fromVS5_EuclideanGeometry.Rmdusingknitr::rmarkdownon Oct 16 2024.

Last update: 2023-06-16
Started: 2023-05-02

Readme and manuals

Help Manual

Help pageTopics
.onAttach start message.onAttach
.onLoad getOption package settings.onLoad
The angles to draw arcs between two line segmentsangle.str2end
The angle between two line segmentsangle3pnts
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle casearcsAS
The arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for 2D data - one triangle casearcsAStri
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D data - multiple triangle casearcsCS
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - multiple interval casearcsCS1D
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval casearcsCSend.int
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - one interval casearcsCSint
The arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle intervals casearcsCSmid.int
The arcs of Central Similarity Proximity Catch Digraphs (CS-PCD) for 2D data - one triangle casearcsCStri
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - multiple triangle casearcsPE
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - multiple interval casearcsPE1D
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval casearcsPEend.int
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - one interval casearcsPEint
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle intervals casearcsPEmid.int
The arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - one triangle casearcsPEtri
The area of a polygon in R^2area.polygon
The labels of the vertices of a triangle in the basic triangle formas.basic.tri
Arc density of Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle caseASarc.dens.tri
Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs)center.nondegPE
Parameterized center of an intervalcenterMc
Parameterized centers of intervalscentersMc
Circumcenter of a standard basic triangle formcircumcenter.basic.tri
Circumcenter of a general tetrahedroncircumcenter.tetra
Circumcenter of a general trianglecircumcenter.tri
The closest points to circumcenter in each CC-vertex region in a trianglecl2CCvert.reg
The closest points to circumcenter in each CC-vertex region in a standard basic trianglecl2CCvert.reg.basic.tri
The closest points in a data set to edges in the standard equilateral trianglecl2edges.std.tri
The closest points among a data set in the vertex regions to the corresponding edges in a standard basic trianglecl2edges.vert.reg.basic.tri
The closest points in a data set to edges in each CC-vertex region in a trianglecl2edgesCCvert.reg
The closest points in a data set to edges in each CM-vertex region in a trianglecl2edgesCMvert.reg
The closest points among a data set in the vertex regions to the respective edges in a trianglecl2edgesMvert.reg
The closest points among a data set in the vertex regions to the respective faces in a tetrahedroncl2faces.vert.reg.tetra
The closest points to center in each vertex region in an intervalcl2Mc.int
A test of segregation/association based on arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D dataCSarc.dens.test
A test of uniformity of 1D data in a given interval based on Central Similarity Proximity Catch Digraph (CS-PCD)CSarc.dens.test.int
A test of segregation/association based on arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D dataCSarc.dens.test1D
Arc density of Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle caseCSarc.dens.tri
The dimension of a 'vector' or matrix or a data framedimension
The distance between two vectors, matrices, or data framesDist
The distance from a point to a line defined by two pointsdist.point2line
The distance from a point to a plane spanned by three 3D pointsdist.point2plane
Distance from a point to a set of finite cardinalitydist.point2set
Exact domination number (i.e., domination number by the exact algorithm)dom.num.exact
Approximate domination number and approximate dominating set by the greedy algorithmdom.num.greedy
The vertices of the CM-edge region in a triangle that contains the pointedge.reg.triCM
The furthest points in a data set from edges in each CM-edge region in the standard equilateral trianglefr2edgesCMedge.reg.std.tri
The furthest points in a data set from vertices in each CC-vertex region in a trianglefr2vertsCCvert.reg
The furthest points from vertices in each CC-vertex region in a standard basic trianglefr2vertsCCvert.reg.basic.tri
The lines joining two vertices to the center of mass in standard equilateral trianglefunsAB2CMTe lineA2CMinTe lineB2CMinTe
The lines joining the three vertices of the standard equilateral triangle to a center, 'M', of itfunsAB2MTe lineA2MinTe lineB2MinTe lineC2MinTe
Converts of a point in Cartesian coordinates to Barycentric coordinates and vice versabary2cart cart2bary funsCartBary
Each function is for the presence of an arc from a point in one of the edge regions to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle casefunsCSEdgeRegs IarcCSstd.triRAB IarcCSstd.triRAC IarcCSstd.triRBC
The function 'gammakCSstd.tri' is for k (k=2,3,4,5) points constituting a dominating set for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle casefunsCSGamTe Idom.num2CSstd.tri Idom.num3CSstd.tri Idom.num4CSstd.tri Idom.num5CSstd.tri Idom.num6CSstd.tri
Each function is for the presence of an arc from a point in one of the edge regions to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with t=1funsCSt1EdgeRegs IarcCSt1.std.triRAB IarcCSt1.std.triRAC IarcCSt1.std.triRBC
Functions provide the indices of the Delaunay triangles where the points residefunsIndDelTri index.delaunay.tri indices.delaunay.tri
Returning the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - middle interval caseasyvarCS1D funsMuVarCS1D muCS1D
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 2D uniform data in one triangleasyvarCS2D funsMuVarCS2D muCS2D
Returns the mean and (asymptotic) variance of arc density of Central Similarity Proximity Catch Digraph (CS-PCD) for 1D data - end interval caseasyvarCSend.int funsMuVarCSend.int muCSend.int
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - middle interval caseasyvarPE1D funsMuVarPE1D fvar1 fvar2 mu1PE1D muPE1D
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D uniform data in one triangleasyvarPE2D funsMuVarPE2D muPE2D
Returns the mean and (asymptotic) variance of arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - end interval caseasyvarPEend.int funsMuVarPEend.int muPEend.int
The functions for probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval casefunsPDomNum2PE1D Pdom.num2A Pdom.num2AI Pdom.num2AII Pdom.num2AIII Pdom.num2AIV Pdom.num2Asym Pdom.num2B Pdom.num2BIII Pdom.num2Bsym Pdom.num2C Pdom.num2CIV Pdom.num2Csym Pdom.num2PE1D
Returns the ranks and orders of points in decreasing distance to the edges of the trianglefunsRankOrderTe order.dist2edges.std.tri rank.dist2edges.std.tri
Two functions 'lineD1CCinTb' and 'lineD2CCinTb' which are of class '"TriLines"' - The lines joining the midpoints of edges to the circumcenter (CC) in the standard basic triangle.funsTbMid2CC lineD1CCinTb lineD2CCinTb
The indicator for the presence of an arc from a point to another for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle caseIarcASbasic.tri
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle caseIarcASset2pnt.tri
The indicator for the presence of an arc from a point to another for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle caseIarcAStri
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - first one-sixth of the standard equilateral triangle caseIarcCS.Te.onesixth
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard basic triangle caseIarcCSbasic.tri
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle caseIarcCSedge.reg.std.tri
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - end interval caseIarcCSend.int
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one interval caseIarcCSint
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval caseIarcCSmid.int
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle caseIarcCSset2pnt.std.tri
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle caseIarcCSset2pnt.tri
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle caseIarcCSstd.tri
The indicator for the presence of an arc from a point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with t=1IarcCSt1.std.tri
The indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs)IarcCStri
An alternative to the function 'IarcCStri' which yields the indicator for the presence of an arc from one point to another for Central Similarity Proximity Catch Digraphs (CS-PCDs)IarcCStri.alt
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle caseIarcPEbasic.tri
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end interval caseIarcPEend.int
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one interval caseIarcPEint
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval caseIarcPEmid.int
The indicator for the presence of an arc from a point in set 'S' to the point 'p' or Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle caseIarcPEset2pnt.std.tri
The indicator for the presence of an arc from a point in set 'S' to the point 'p' for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle caseIarcPEset2pnt.tri
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron caseIarcPEstd.tetra
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle caseIarcPEstd.tri
The indicator for the presence of an arc from one 3D point to another 3D point for Proportional Edge Proximity Catch Digraphs (PE-PCDs)IarcPEtetra
The indicator for the presence of an arc from a point to another for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle caseIarcPEtri
Indicator for an upper bound for the domination number by the exact algorithmIdom.num.up.bnd
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle caseIdom.num1ASbasic.tri
The indicator for a point being a dominating point for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle caseIdom.num1AStri
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - first one-sixth of the standard equilateral triangle caseIdom.num1CS.Te.onesixth
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) for an intervalIdom.num1CSint
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle caseIdom.num1CSstd.tri
The indicator for a point being a dominating point for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle case with t=1Idom.num1CSt1std.tri
The indicator for a point being a dominating point or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle caseIdom.num1PEbasic.tri
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) for an intervalIdom.num1PEint
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron caseIdom.num1PEstd.tetra
The indicator for a 3D point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron caseIdom.num1PEtetra
The indicator for a point being a dominating point for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle caseIdom.num1PEtri
The indicator for two points being a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - standard basic triangle caseIdom.num2ASbasic.tri
The indicator for two points constituting a dominating set for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle caseIdom.num2AStri
The indicator for two points constituting a dominating set for Central Similarity Proximity Catch Digraphs (CS-PCDs) - first one-sixth of the standard equilateral triangle caseIdom.num2CS.Te.onesixth
The indicator for two points being a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard basic triangle caseIdom.num2PEbasic.tri
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron caseIdom.num2PEstd.tetra
The indicator for two 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron caseIdom.num2PEtetra
The indicator for two points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle caseIdom.num2PEtri
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard regular tetrahedron caseIdom.num3PEstd.tetra
The indicator for three 3D points constituting a dominating set for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron caseIdom.num3PEtetra
Indicator for an upper bound for the domination number of Arc Slice Proximity Catch Digraph (AS-PCD) by the exact algorithm - one triangle caseIdom.numASup.bnd.tri
The indicator for 'k' being an upper bound for the domination number of Central Similarity Proximity Catch Digraph (CS-PCD) by the exact algorithm - standard equilateral triangle caseIdom.numCSup.bnd.std.tri
Indicator for an upper bound for the domination number of Central Similarity Proximity Catch Digraph (CS-PCD) by the exact algorithm - one triangle caseIdom.numCSup.bnd.tri
The indicator for the set of points 'S' being a dominating set or not for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle caseIdom.setAStri
The indicator for the set of points 'S' being a dominating set or not for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle caseIdom.setCSstd.tri
The indicator for the set of points 'S' being a dominating set or not for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle caseIdom.setCStri
The indicator for the set of points 'S' being a dominating set or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle caseIdom.setPEstd.tri
The indicator for the set of points 'S' being a dominating set or not for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle caseIdom.setPEtri
Check whether a point is inside a circlein.circle
Check whether a point is inside a tetrahedronin.tetrahedron
Check whether all points in a data set are inside the trianglein.tri.all
Check whether a point is inside a trianglein.triangle
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - multiple triangle caseinci.matAS
Incidence matrix for Arc Slice Proximity Catch Digraphs (AS-PCDs) - one triangle caseinci.matAStri
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - multiple triangle caseinci.matCS
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - multiple interval caseinci.matCS1D
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data - one interval caseinci.matCSint
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - standard equilateral triangle caseinci.matCSstd.tri
Incidence matrix for Central Similarity Proximity Catch Digraphs (CS-PCDs) - one triangle caseinci.matCStri
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - multiple triangle caseinci.matPE
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - multiple interval caseinci.matPE1D
Incidence matrix for Proportional-Edge Proximity Catch Digraphs (PE-PCDs) for 1D data - one interval caseinci.matPEint
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - standard equilateral triangle caseinci.matPEstd.tri
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron caseinci.matPEtetra
Incidence matrix for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle caseinci.matPEtri
Region index inside the Gamma-1 regionindex.six.Te
The points of intersection of a line and a circleintersect.line.circle
The point of intersection of a line and a planeintersect.line.plane
The point of intersection of two lines defined by two pairs of pointsintersect2lines
Indices of the intervals where the 1D point(s) resideinterval.indices.set
Check a point belong to a given data setis.in.data
Check the argument is a point of a given dimensionis.point
Check whether a triangle is a standard equilateral triangleis.std.eq.tri
The 'k' furthest points in a data set from vertices in each CC-vertex region in a trianglekfr2vertsCCvert.reg
The line joining two distinct 2D points 'a' and 'b'Line
The line crossing 3D point 'p' in the direction of 'vector' 'v' (or if 'v' is a point, in direction of v-r_0)Line3D
The vertices of the Arc Slice (AS) Proximity Region in the standard basic triangleNASbasic.tri
The vertices of the Arc Slice (AS) Proximity Region in a general triangleNAStri
The end points of the Central Similarity (CS) Proximity Region for a point - one interval caseNCSint
The vertices of the Central Similarity (CS) Proximity Region in a general triangleNCStri
The vertices of the Proportional Edge (PE) Proximity Region in a standard basic triangleNPEbasic.tri
The end points of the Proportional Edge (PE) Proximity Region for a point - one interval caseNPEint
The vertices of the Proportional Edge (PE) Proximity Region in the standard regular tetrahedronNPEstd.tetra
The vertices of the Proportional Edge (PE) Proximity Region in a tetrahedronNPEtetra
The vertices of the Proportional Edge (PE) Proximity Region in a general triangleNPEtri
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) and related quantities of the induced subdigraphs for points in the Delaunay triangles - multiple triangle casenum.arcsAS
Number of arcs of Arc Slice Proximity Catch Digraphs (AS-PCDs) and quantities related to the triangle - one triangle casenum.arcsAStri
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and related quantities of the induced subdigraphs for points in the Delaunay triangles - multiple triangle casenum.arcsCS
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and related quantities of the induced subdigraphs for points in the partition intervals - multiple interval casenum.arcsCS1D
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) - end interval casenum.arcsCSend.int
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the interval - one interval casenum.arcsCSint
Number of Arcs of of Central Similarity Proximity Catch Digraphs (CS-PCDs) - middle interval casenum.arcsCSmid.int
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the triangle - standard equilateral triangle casenum.arcsCSstd.tri
Number of arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) and quantities related to the triangle - one triangle casenum.arcsCStri
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and related quantities of the induced subdigraphs for points in the Delaunay triangles - multiple triangle casenum.arcsPE
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and related quantities of the induced subdigraphs for points in the partition intervals - multiple interval casenum.arcsPE1D
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - end interval casenum.arcsPEend.int
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the interval - one interval casenum.arcsPEint
Number of Arcs for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval casenum.arcsPEmid.int
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the triangle - standard equilateral triangle casenum.arcsPEstd.tri
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the tetrahedron - one tetrahedron casenum.arcsPEtetra
Number of arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) and quantities related to the triangle - one triangle casenum.arcsPEtri
Number of Delaunay triangles based on a 2D data setnum.delaunay.tri
The line at a point 'p' parallel to the line segment joining two distinct 2D points 'a' and 'b'paraline
The line crossing the 3D point 'p' and parallel to line joining 3D points 'a' and 'b'paraline3D
The plane at a point and parallel to the plane spanned by three distinct 3D points 'a', 'b', and 'c'paraplane
pcds: A package for Proximity Catch Digraphs and Their Applicationspcds
The asymptotic probability of domination number = 2 for Proportional Edge Proximity Catch Digraphs (PE-PCDs) - middle interval casePdom.num2PE1Dasy
Asymptotic probability that domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) equals 2 where vertices of the digraph are uniform points in a trianglePdom.num2PEtri
A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D dataPEarc.dens.test
A test of uniformity of 1D data in a given interval based on Proportional Edge Proximity Catch Digraph (PE-PCD)PEarc.dens.test.int
A test of segregation/association based on arc density of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D dataPEarc.dens.test1D
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one tetrahedron casePEarc.dens.tetra
Arc density of Proportional Edge Proximity Catch Digraphs (PE-PCDs) - one triangle casePEarc.dens.tri
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - multiple triangle casePEdom.num
A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Binomial ApproximationPEdom.num.binom.test
A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D data - Binomial ApproximationPEdom.num.binom.test1D
A test of uniformity for 1D data based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - Binomial ApproximationPEdom.num.binom.test1Dint
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple triangle casePEdom.num.nondeg
A test of segregation/association based on domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 2D data - Normal ApproximationPEdom.num.norm.test
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one tetrahedron casePEdom.num.tetra
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) - one triangle casePEdom.num.tri
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) for 1D dataPEdom.num1D
The domination number of Proportional Edge Proximity Catch Digraph (PE-PCD) with non-degeneracy centers - multiple interval casePEdom.num1Dnondeg
The line passing through a point and perpendicular to the line segment joining two pointsperpline
The line crossing the 3D point 'p' and perpendicular to the plane spanned by 3D points 'a', 'b', and 'c'perpline2plane
The plane passing through three distinct 3D points 'a', 'b', and 'c'Plane
Plot an 'Extrema' 'object'plot.Extrema
Plot a 'Lines' 'object'plot.Lines
Plot a 'Lines3D' 'object'plot.Lines3D
Plot a 'NumArcs' 'object'plot.NumArcs
Plot a 'Patterns' 'object'plot.Patterns
Plot a 'PCDs' 'object'plot.PCDs
Plot a 'Planes' 'object'plot.Planes
Plot a 'TriLines' 'object'plot.TriLines
Plot a 'Uniform' 'object'plot.Uniform
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - multiple triangle caseplotASarcs
The plot of the arcs of Arc Slice Proximity Catch Digraph (AS-PCD) for a 2D data set - one triangle caseplotASarcs.tri
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - multiple triangle caseplotASregs
The plot of the Arc Slice (AS) Proximity Regions for a 2D data set - one triangle caseplotASregs.tri
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - multiple triangle caseplotCSarcs
The plot of the arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data (vertices jittered along y-coordinate) - one interval caseplotCSarcs.int
The plot of the arcs of Central Similarity Proximity Catch Digraph (CS-PCD) for a 2D data set - one triangle caseplotCSarcs.tri
The plot of the arcs of Central Similarity Proximity Catch Digraphs (CS-PCDs) for 1D data (vertices jittered along y-coordinate) - multiple interval caseplotCSarcs1D
The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - multiple triangle caseplotCSregs
The plot of the Central Similarity (CS) Proximity Regions for a general interval (vertices jittered along y-coordinate) - one interval caseplotCSregs.int
The plot of the Central Similarity (CS) Proximity Regions for a 2D data set - one triangle caseplotCSregs.tri
The plot of the Central Similarity (CS) Proximity Regions (vertices jittered along y-coordinate) - multiple interval caseplotCSregs1D
The scatterplot of points from one class and plot of the Delaunay triangulation of the other classplotDelaunay.tri
The plot of the subintervals based on 'Yp' points together with 'Xp' pointsplotIntervals
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - multiple triangle caseplotPEarcs
The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) for 1D data (vertices jittered along y-coordinate) - one interval caseplotPEarcs.int
The plot of the arcs of Proportional Edge Proximity Catch Digraph (PE-PCD) for a 2D data set - one triangle caseplotPEarcs.tri
The plot of the arcs of Proportional Edge Proximity Catch Digraphs (PE-PCDs) for 1D data (vertices jittered along y-coordinate) - multiple interval caseplotPEarcs1D
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - multiple triangle caseplotPEregs
The plot of the Proportional Edge (PE) Proximity Regions for a general interval (vertices jittered along y-coordinate) - one interval caseplotPEregs.int
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - standard regular tetrahedron caseplotPEregs.std.tetra
The plot of the Proportional Edge (PE) Proximity Regions for a 3D data set - one tetrahedron caseplotPEregs.tetra
The plot of the Proportional Edge (PE) Proximity Regions for a 2D data set - one triangle caseplotPEregs.tri
The plot of the Proportional Edge (PE) Proximity Regions (vertices jittered along y-coordinate) - multiple interval caseplotPEregs1D
Print a 'Extrema' 'object'print.Extrema
Print a 'Lines' 'object'print.Lines
Print a 'Lines3D' 'object'print.Lines3D
Print a 'NumArcs' 'object'print.NumArcs
Print a 'Patterns' 'object'print.Patterns
Print a 'PCDs' 'object'print.PCDs
Print a 'Planes' 'object'print.Planes
Print a summary of a 'Extrema' 'object'print.summary.Extrema
Print a summary of a 'Lines' 'object'print.summary.Lines
Print a summary of a 'Lines3D' 'object'print.summary.Lines3D
Print a summary of a 'NumArcs' 'object'print.summary.NumArcs
Print a summary of a 'Patterns' 'object'print.summary.Patterns
Print a summary of a 'PCDs' 'object'print.summary.PCDs
Print a summary of a 'Planes' 'object'print.summary.Planes
Print a summary of a 'TriLines' 'object'print.summary.TriLines
Print a summary of a 'Uniform' 'object'print.summary.Uniform
Print a 'TriLines' 'object'print.TriLines
Print a 'Uniform' 'object'print.Uniform
Projections of a point inside a triangle to its edgesprj.cent2edges
Projections of a point inside the standard basic triangle form to its edgesprj.cent2edges.basic.tri
Projections of Centers for non-degenerate asymptotic distribution of domination number of Proportional Edge Proximity Catch Digraphs (PE-PCDs) to its edgesprj.nondegPEcent2edges
The radii of points from one class with respect to points from the other classradii
The radius of a point from one class with respect to points from the other classradius
Generation of points associated (in a radial or circular fashion) with a given set of pointsrassoc.circular
Generation of points associated (in a Matern-like fashion) to a given set of pointsrassoc.matern
Generation of points associated (in a Type I fashion) with a given set of pointsrassoc.multi.tri
Generation of points associated (in a Type I fashion) with the vertices of T_erassoc.std.tri
Generation of points associated (in a Type I fashion) with the vertices of a trianglerassoc.tri
Generation of points associated (in a Type II fashion) with the edges of T_erassocII.std.tri
The index of the edge region in a standard basic triangle form that contains a pointrel.edge.basic.tri
The index of the CM-edge region in a standard basic triangle form that contains a pointrel.edge.basic.triCM
The index of the edge region in the standard equilateral triangle that contains a pointrel.edge.std.triCM
The index of the edge region in a triangle that contains the pointrel.edge.tri
The index of the CM-edge region in a triangle that contains the pointrel.edge.triCM
The indices of the 'M'-edge regions in a triangle that contains the points in a give data setrel.edges.tri
The indices of the CM-edge regions in a triangle that contains the points in a give data setrel.edges.triCM
The index of the vertex region in a standard basic triangle form that contains a given pointrel.vert.basic.tri
The index of the CC-vertex region in a standard basic triangle form that contains a pointrel.vert.basic.triCC
The index of the CM-vertex region in a standard basic triangle form that contains a pointrel.vert.basic.triCM
The index of the vertex region in an end-interval that contains a given pointrel.vert.end.int
The index of the vertex region in a middle interval that contains a given pointrel.vert.mid.int
The index of the vertex region in the standard equilateral triangle that contains a given pointrel.vert.std.tri
The index of the CM-vertex region in the standard equilateral triangle that contains a given pointrel.vert.std.triCM
The index of the CC-vertex region in a tetrahedron that contains a pointrel.vert.tetraCC
The index of the CM-vertex region in a tetrahedron that contains a pointrel.vert.tetraCM
The index of the vertex region in a triangle that contains a given pointrel.vert.tri
The index of the CC-vertex region in a triangle that contains a pointrel.vert.triCC
The index of the CM-vertex region in a triangle that contains a given pointrel.vert.triCM
The indices of the vertex regions in a triangle that contains the points in a give data setrel.verts.tri
The indices of the vertex regions in a triangle that contains the points in a give data setrel.verts.tri.nondegPE
The indices of the CC-vertex regions in a triangle that contains the points in a give data set.rel.verts.triCC
The indices of the CM-vertex regions in a triangle that contains the points in a give data setrel.verts.triCM
The alternative function for the indices of the M-vertex regions in a triangle that contains the points in a give data setrel.verts.triM
Generation of points segregated (in a radial or circular fashion) from a given set of pointsrseg.circular
Generation of points segregated (in a Type I fashion) from a given set of pointsrseg.multi.tri
Generation of points segregated (in a Type I fashion) from the vertices of T_erseg.std.tri
Generation of points segregated (in a Type I fashion) from the vertices of a trianglerseg.tri
Generation of points segregated (in a Type II fashion) from the vertices of T_ersegII.std.tri
Generation of Uniform Points in the standard basic trianglerunif.basic.tri
Generation of Uniform Points in the Convex Hull of Pointsrunif.multi.tri
Generation of Uniform Points in the Standard Regular Tetrahedron T_hrunif.std.tetra
Generation of Uniform Points in the Standard Equilateral Trianglerunif.std.tri
Generation of Uniform Points in the first one-sixth of standard equilateral trianglerunif.std.tri.onesixth
Generation of Uniform Points in a tetrahedronrunif.tetra
Generation of Uniform Points in a Trianglerunif.tri
The auxiliary triangle to define the support of type I segregationseg.tri.support
The closest points among a data set in the standard equilateral triangle to the median lines in the six half edge regionssix.extremaTe
The slope of a lineslope
Return a summary of a 'Extrema' 'object'summary.Extrema
Return a summary of a 'Lines' 'object'summary.Lines
Return a summary of a 'Lines3D' 'object'summary.Lines3D
Return a summary of a 'NumArcs' 'object'summary.NumArcs
Return a summary of a 'Patterns' 'object'summary.Patterns
Return a summary of a 'PCDs' 'object'summary.PCDs
Return a summary of a 'Planes' 'object'summary.Planes
Return a summary of a 'TriLines' 'object'summary.TriLines
Return a summary of a 'Uniform' 'object'summary.Uniform
Tree Species in a Swamp Forestswamptrees
Converting a triangle to the standard basic triangle form formtri2std.basic.tri
Points from one class inside the convex hull of the points from the other classXin.convex.hullY