{ "_id": "6ae1db7095ca2370cc8cbebc", "Package": "manifold", "Title": "Operations for Riemannian Manifolds", "Version": "0.1.2", "Authors@R": "c(person(\"Xiongtao\", \"Dai\", \nemail = \"xiongtao.dai@hotmail.com\",\nrole = c(\"aut\", \"cre\", \"cph\")),\nperson(\"Zhenhua\", \"Lin\",\nemail = \"linz@nus.edu.sg\",\nrole = \"aut\"))", "Description": "Implements operations for Riemannian manifolds, e.g.,\ngeodesic distance, Riemannian metric, exponential and logarithm\nmaps, etc. Also incorporates random object generator on the\nmanifolds. See Dai, Lin, and Müller (2021)\n.", "License": "GPL (>= 2)", "Encoding": "UTF-8", "RoxygenNote": "7.3.3", "Config/testthat/edition": "2", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-10-28 11:07:08 UTC", "User": "root" }, "Author": "Xiongtao Dai [aut, cre, cph], Zhenhua Lin [aut]", "Maintainer": "Xiongtao Dai ", "Repository": "https://cran.r-universe.dev", "Date/Publication": "2025-12-01 16:40:25 UTC", "RemoteUrl": "https://github.com/cran/manifold", "RemoteRef": "HEAD", "RemoteSha": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "_user": "cran", "_type": "src", "_file": "manifold_0.1.2.tar.gz", "_fileid": "https://r2.ropensci.org/5138fd0a610621d2ebf59099cf4735fdeeda695795144e9b558b2b1130eeaf66", "_filesize": 214757, "_sha256": "5138fd0a610621d2ebf59099cf4735fdeeda695795144e9b558b2b1130eeaf66", "_expires": "2027-02-05T11:24:30.000Z", "_created": "2026-10-28T11:07:08.000Z", "_published": "2026-10-28T11:24:32.534Z", "_upstream": "https://github.com/cran/manifold", "_status": "success", "_maintainer": { "name": "Xiongtao Dai", "email": "xiongtao.dai@hotmail.com", "login": "crossd", "description": "", "uuid": 5582599 }, "_jobs": [ { "job": 122779708791, "time": 144, "config": "linux-devel-arm64", "r": "4.7.0", "check": "OK", "artifact": "12811596358" }, { "job": 122779708778, "time": 981, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "12812446423" }, { "job": 122779708852, "time": 111, "config": "linux-release-arm64", "r": "4.6.1", "check": "OK", "artifact": "12810469559" }, { "job": 122779708794, "time": 121, "config": "linux-release-x86_64", "r": "4.6.1", "check": "OK", "artifact": "12810229766" }, { "job": 122778320160, "time": 185, "config": "source", "r": "4.6.1", "check": "OK", "artifact": "12810164541" }, { "job": 122779708744, "time": 95, "config": "wasm-release", "r": "4.6.0", "check": "OK", "artifact": "12810194603" }, { "job": 122779708765, "time": 229, "config": "windows-devel-arm64", "r": "4.7.0", "check": "OK", "artifact": "12810849258" }, { "job": 122779708793, "time": 354, "config": "windows-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": "12811815860" }, { "job": 122779708882, "time": 593, "config": "windows-release-arm64", "r": "4.6.1", "check": "OK", "artifact": "12811279205" }, { "job": 122779708809, "time": 145, "config": "windows-release-x86_64", "r": "4.6.1", "check": "OK", "artifact": "12810424645" } ], "_buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782", "_commit": { "id": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "author": "Xiongtao Dai ", "committer": "cran-robot ", "message": "version 0.1.2\n", "time": 1764607225 }, "_distro": "resolute", "_host": "GitHub-Actions", "_registered": true, "_dependencies": [ { "package": "R", "version": ">= 3.2.1", "role": "Depends" }, { "package": "Rcpp", "role": "LinkingTo" }, { "package": "RcppArmadillo", "role": "LinkingTo" }, { "package": "Rcpp", "role": "Imports" }, { "package": "Matrix", "role": "Imports" }, { "package": "testthat", "version": ">= 3.0.0", "role": "Suggests" } ], "_owner": "cran", "_selfowned": false, "_usedby": 1, "_updates": [ { "week": "2025-49", "n": 1 } ], "_tags": [ { "name": "0.1.2", "date": "2025-12-01" } ], "_stars": 1, "_contributors": [ { "user": "crossd", "count": 1, "uuid": 5582599 } ], "_userbio": { "uuid": 6899542, "type": "organization", "name": "cran", "followers": 634, "description": "Unofficial read-only mirror of all CRAN R packages" }, "_downloads": { "count": 290, "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/manifold" }, "_searchresults": 27, "_topics": [ "openblas", "cpp" ], "_rbuild": "4.6.1", "_assets": [ "extra/citation.cff", "extra/citation.html", "extra/citation.json", "extra/citation.txt", "extra/contents.json", "extra/manifold.html", "extra/manual.pdf" ], "_realowner": "crossd", "_cranurl": false, "_releases": [ { "version": "0.1.1", "date": "2022-10-04" }, { "version": "0.1.2", "date": "2025-12-01" } ], "_exports": [ "axisAngleRep", "basisTan", "calcAmbDim", "calcGeomPar", "calcIntDim", "calcTanDim", "coordToTanV", "createM", "distance", "ExpM", "frechetMean", "frechetMedian", "geodesicCurve", "GetSettingName", "is.finiteDim", "listAvailMfd", "LogM", "LogMSPD", "MakeSym", "metric", "norm", "Normalize", "origin", "project", "projectTangent", "rieExp", "rieLog", "rmfd", "runifSphere", "tanVToCoord" ], "_help": [ { "page": "axisAngleRep", "title": "Returns the angle representation of SO(3) matrices c.f. ", "topics": [ "axisAngleRep" ] }, { "page": "basisTan", "title": "Obtain an orthonormal basis on the tangent space", "topics": [ "basisTan", "basisTan.Euclidean", "basisTan.FlatTorus", "basisTan.SO", "basisTan.SPD", "basisTan.Sphere" ] }, { "page": "coordToTanV", "title": "Transform the coordinates for the tangent space into a tangent vector", "topics": [ "coordToTanV", "coordToTanV.default" ] }, { "page": "createM", "title": "Create an object to symbolize the manifold.", "topics": [ "createM" ] }, { "page": "dimensions", "title": "Dimensions in this package", "topics": [ "calcAmbDim", "calcGeomPar", "calcIntDim", "calcTanDim", "dimensions" ] }, { "page": "distance", "title": "Geodesic distance", "topics": [ "distance", "distance.AffInv", "distance.Dens", "distance.Euclidean", "distance.HS", "distance.L2", "distance.LogEu", "distance.SO", "distance.Sphere" ] }, { "page": "ExpM", "title": "Matrix exponential", "topics": [ "ExpM" ] }, { "page": "frechetMean", "title": "Calculate the Fréchet mean", "topics": [ "frechetMean", "frechetMean.default" ] }, { "page": "frechetMedian", "title": "Calculate the Fréchet median", "topics": [ "frechetMedian", "frechetMedian.default" ] }, { "page": "geodesicCurve", "title": "Obtain the geodesic curve", "topics": [ "geodesicCurve", "geodesicCurve.HS", "geodesicCurve.Sphere" ] }, { "page": "GetSettingName", "title": "Helper function for simulations", "topics": [ "GetSettingName" ] }, { "page": "is.finiteDim", "title": "Tell whether a manifold is a finite-dimensional one", "topics": [ "is.finiteDim" ] }, { "page": "listAvailMfd", "title": "List all available manifold names", "topics": [ "listAvailMfd" ] }, { "page": "LogM", "title": "Matrix logarithm", "topics": [ "LogM" ] }, { "page": "LogMSPD", "title": "Matrix logarithm of a symmetric positive definite", "topics": [ "LogMSPD" ] }, { "page": "MakeSym", "title": "Make a symmetric matrix by specifying a near-symmetric matrix M, or the lower triangular elements lowerTri with diagonal.", "topics": [ "MakeSym" ] }, { "page": "manifold", "title": "manifold: Operations for Riemannian manifolds", "topics": [ "manifold-package", "manifold" ] }, { "page": "metric", "title": "Returns the Riemannian metric", "topics": [ "metric", "metric.AffInv", "metric.default", "metric.Dens", "metric.Euclidean", "metric.HS", "metric.LogEu", "metric.SO", "metric.Sphere" ] }, { "page": "norm", "title": "Norm on the tangent space induced by the Riemannian metric", "topics": [ "norm", "norm.AffInv", "norm.default", "norm.Dens", "norm.Euclidean", "norm.HS", "norm.L2", "norm.LogEu", "norm.SO", "norm.Sphere" ] }, { "page": "Normalize", "title": "Normalize a vector", "topics": [ "Normalize" ] }, { "page": "origin", "title": "Returns the origin of the manifold", "topics": [ "origin", "origin.Dens", "origin.Euclidean", "origin.HS", "origin.L2", "origin.SO", "origin.SPD", "origin.Sphere" ] }, { "page": "project", "title": "Project data points in the ambient space onto the manifold", "topics": [ "project", "project.AffInv", "project.Dens", "project.Euclidean", "project.HS", "project.L2", "project.LogEu", "project.SO", "project.SPD", "project.Sphere" ] }, { "page": "projectTangent", "title": "Project data points in the ambient space onto the tangent space", "topics": [ "projectTangent", "projectTangent.Dens", "projectTangent.Euclidean", "projectTangent.HS", "projectTangent.L2", "projectTangent.SO", "projectTangent.SPD", "projectTangent.Sphere" ] }, { "page": "rieExp", "title": "Riemannian exponential map", "topics": [ "rieExp", "rieExp.AffInv", "rieExp.Dens", "rieExp.Euclidean", "rieExp.HS", "rieExp.L2", "rieExp.LogEu", "rieExp.SO", "rieExp.Sphere" ] }, { "page": "rieLog", "title": "Riemannian logarithm map", "topics": [ "rieLog", "rieLog.AffInv", "rieLog.Dens", "rieLog.Euclidean", "rieLog.HS", "rieLog.L2", "rieLog.LogEu", "rieLog.SO", "rieLog.Sphere" ] }, { "page": "rmfd", "title": "Generate random variables on the manifold", "topics": [ "rmfd", "rmfd.default" ] }, { "page": "runifSphere", "title": "Generate uniform random variables on the unit sphere", "topics": [ "runifSphere" ] }, { "page": "tanVToCoord", "title": "Transform tangent vectors to their coordinates on the tangent space", "topics": [ "tanVToCoord", "tanVToCoord.default" ] } ], "_rundeps": [ "lattice", "Matrix", "Rcpp", "RcppArmadillo" ], "_sysdeps": [ { "shlib": "liblapack", "package": "libopenblas0-pthread", "source": "openblas", "version": "0.3.32+ds-5", "name": "openblas", "homepage": "https://www.openblas.net/", "description": "Optimized BLAS (linear algebra) library (shared lib, pthread)" }, { "shlib": "libblas", "package": "libopenblas0-pthread", "source": "openblas", "version": "0.3.32+ds-5", "name": "openblas", "homepage": "https://www.openblas.net/", "description": "Optimized BLAS (linear algebra) library (shared lib, pthread)" }, { "shlib": "libstdc++", "package": "libstdc++6", "source": "gcc", "version": "16-20260322-1ubuntu1", "name": "c++", "homepage": "http://gcc.gnu.org/", "description": "GNU Standard C++ Library v3" } ], "_score": 1.9084850188786497, "_indexed": false, "_nocasepkg": "manifold", "_universes": [ "cran" ], "_indexurl": "https://crossd.r-universe.dev/manifold", "_binaries": [ { "r": "4.7.0", "os": "linux", "version": "0.1.2", "date": "2026-10-28T11:09:39.000Z", "distro": "resolute", "arch": "aarch64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/db38b5f6c3403351366aa95996cad7a8c720911a6869ff6da098f2d8cb51c9b7", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.7.0", "os": "linux", "version": "0.1.2", "date": "2026-10-28T11:19:18.000Z", "distro": "resolute", "arch": "x86_64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/6b13a63ded645791d9f68f1e2f520e852637bb86d0463446108e417fd28dea6d", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.6.1", "os": "linux", "version": "0.1.2", "date": "2026-10-28T11:09:09.000Z", "distro": "resolute", "arch": "aarch64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/aee46b90ffe1a1503b3482c4a2d8ed4ded0c67db05fe46d01d7cbd558d9635fd", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.6.1", "os": "linux", "version": "0.1.2", "date": "2026-10-28T11:09:19.000Z", "distro": "resolute", "arch": "x86_64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/790f4dca99f8b42cef5e2dcf03b7f09ee2a147a0a945595b37471130f4d39557", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.6.0", "os": "wasm", "version": "0.1.2", "date": "2026-10-28T11:09:20.000Z", "arch": "emscripten", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/282fe015a8f1b3ab9ca93abd274501512c26f78678f0a6e19771f22bd0e39e2a", "status": "success", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.7.0", "os": "win", "version": "0.1.2", "date": "2026-10-28T11:10:42.000Z", "arch": "aarch64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/94aa86dd5b5cce6ee76f20e4ecbce1479a285b044fb1e62c3a76d1adb072eb61", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.7.0", "os": "win", "version": "0.1.2", "date": "2026-10-28T11:11:52.000Z", "arch": "x86_64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/4acee152ae549d71324f8d0b84612be1831f4c1c714dfa14dff58095d7ebe45a", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.6.1", "os": "win", "version": "0.1.2", "date": "2026-10-28T11:16:44.000Z", "arch": "aarch64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/c40cb3936c18d882e6a506ebd290203ce301bfce0272012e202b80b037ed6530", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" }, { "r": "4.6.1", "os": "win", "version": "0.1.2", "date": "2026-10-28T11:08:48.000Z", "arch": "x86_64", "commit": "22e18188f4c2daf03d5796ceab3a9404d9b67241", "fileid": "https://r2.ropensci.org/56315c29520934ed37321fd5029b8df995aa95cd471d8d1612997ad9fc21505d", "status": "success", "check": "OK", "buildurl": "https://github.com/r-universe/cran/actions/runs/40677065782" } ] }