{ "_id": "6a202d96cd65a98ecbd0c2e3", "Package": "sphunif", "Type": "Package", "Title": "Uniformity Tests on the Circle, Sphere, and Hypersphere", "Version": "1.4.4", "Date": "2026-06-02", "Authors@R": "c(\nperson(given = \"Eduardo\", family = \"García-Portugués\",\nrole = c(\"aut\", \"cre\"), email = \"edgarcia@est-econ.uc3m.es\",\ncomment = c(ORCID = \"0000-0002-9224-4111\")),\nperson(given = \"Thomas\", family = \"Verdebout\", role = \"aut\",\ncomment = c(ORCID = \"0000-0002-3277-9587\")),\nperson(given = \"Alberto\", family = \"Fernández-de-Marcos\", role = \"ctb\",\nemail = \"albertfe@est-econ.uc3m.es\"),\nperson(given = \"Paula\", family = \"Navarro\", role = \"ctb\",\nemail = \"paula.navarro@unican.es\")\n)", "Description": "Implementation of uniformity tests on the circle and\n(hyper)sphere. The main function of the package is unif_test(),\nwhich conveniently collects more than 35 tests for assessing\nuniformity on S^{p-1} = {x in R^p : ||x|| = 1}, p >= 2. The\ntest statistics are implemented in the unif_stat() function,\nwhich allows computing several statistics for different samples\nwithin a single call, thus facilitating Monte Carlo\nexperiments. Furthermore, the unif_stat_MC() function allows\nparallelizing them in a simple way. The asymptotic null\ndistributions of the statistics are available through the\nfunction unif_stat_distr(). The core of 'sphunif' is coded in\nC++ by relying on the 'Rcpp' package. The package also provides\nseveral novel datasets and gives the replicability for the data\napplications/simulations in García-Portugués et al. (2021)\n, García-Portugués et al.\n(2023) , Fernández-de-Marcos and\nGarcía-Portugués (2024) , and\nGarcía-Portugués et al. (2025)\n.", "License": "GPL-3", "LazyData": "true", "URL": "https://github.com/egarpor/sphunif", "BugReports": "https://github.com/egarpor/sphunif/issues", "Encoding": "UTF-8", "RoxygenNote": "7.3.3", "VignetteBuilder": "knitr", "Config/testthat/edition": "3", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-06-03 13:27:42 UTC", "User": "root" }, "Author": "Eduardo García-Portugués [aut, cre] (ORCID:\n), Thomas Verdebout\n[aut] (ORCID: ), Alberto\nFernández-de-Marcos [ctb], Paula Navarro [ctb]", "Maintainer": "Eduardo García-Portugués ", "Repository": "https://cran.r-universe.dev", "Date/Publication": "2026-06-03 12:16:35 UTC", "RemoteUrl": "https://github.com/cran/sphunif", "RemoteRef": "HEAD", "RemoteSha": "e5fa889e139a1b111a468e57615bef5ead057328", "MD5sum": "08eb726b03decd2a33f200b88c34217c", "_user": "cran", "_type": "src", "_file": "sphunif_1.4.4.tar.gz", "_fileid": "f895d66eb3ce76bd05d8477fd840a377b766a47d3335e9de1a5f59a422b89e89", "_filesize": 1359768, "_sha256": 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"unif_stat_distr", "unif_stat_MC", "unif_test", "upper_tri_ind", "vk2_to_bk", "vk2_to_uk", "weights_dfs_Sobolev", "X_to_Theta" ], "_datasets": [ { "name": "cmb", "title": "Cosmic microwave background spherical-harmonic coefficients", "object": "cmb", "class": [ "numeric" ], "fields": [], "table": false, "tojson": true }, { "name": "comets", "title": "Comet orbits", "object": "comets", "class": [ "data.frame" ], "fields": [ "id", "spkid", "full_name", "pdes", "frag", "diameter", "e", "a", "i", "om", "w", "per_y", "class", "first_obs", "last_obs", "ccf09" ], "rows": 3798, "table": true, "tojson": true }, { "name": "craters", "title": "Craters named by the IAU", "object": "craters", "class": [ "data.frame" ], "fields": [ "ID", "name", "target", "target_type", "diameter", "phi", "theta" ], "rows": 5235, "table": true, "tojson": true }, { "name": "planets", "title": "Planet orbits", "object": "planets", "class": [ "data.frame" ], "fields": [ "planet", "i", "om" ], "rows": 9, "table": true, 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"avail_sph_tests", "avail_tests" ] }, { "page": "cir_coord_conv", "title": "Transforming between polar and Cartesian coordinates", "topics": [ "cir_coord_conv", "Theta_to_X", "X_to_Theta" ] }, { "page": "cir_gaps", "title": "Circular gaps", "topics": [ "cir_gaps" ] }, { "page": "cir_stat", "title": "Statistics for testing circular uniformity", "topics": [ "cir_stat", "cir_stat_Ajne", "cir_stat_Bakshaev", "cir_stat_Bingham", "cir_stat_CCF09", "cir_stat_Cressie", "cir_stat_FG01", "cir_stat_Gine_Fn", "cir_stat_Gine_Gn", "cir_stat_Gini", "cir_stat_Gini_squared", "cir_stat_Greenwood", "cir_stat_Hermans_Rasson", "cir_stat_Hodges_Ajne", "cir_stat_Kuiper", "cir_stat_Log_gaps", "cir_stat_Max_uncover", "cir_stat_Num_uncover", "cir_stat_PAD", "cir_stat_PCvM", "cir_stat_Poisson", "cir_stat_PRt", "cir_stat_Pycke", "cir_stat_Pycke_q", "cir_stat_Range", "cir_stat_Rao", "cir_stat_Rayleigh", "cir_stat_Riesz", "cir_stat_Rothman", "cir_stat_Softmax", "cir_stat_Vacancy", "cir_stat_Watson", "cir_stat_Watson_1976" ] }, { "page": "cmb", "title": "Cosmic microwave background spherical-harmonic coefficients", "topics": [ "cmb" ] }, { "page": "comets", "title": "Comet orbits", "topics": [ "comets" ] }, { "page": "craters", "title": "Craters named by the IAU", "topics": [ "craters" ] }, { "page": "F_from_f", "title": "Distribution and quantile functions from angular function", "topics": [ "F_from_f", "F_inv_from_f" ] }, { "page": "Gauss_Legen", "title": "Gauss-Legendre quadrature", "topics": [ "Gauss_Legen", "Gauss_Legen_nodes", "Gauss_Legen_weights" ] }, { "page": "Gegenbauer", "title": "Gegenbauer polynomials and coefficients", "topics": [ "Gegenbauer", "Gegen_coefs", "Gegen_coefs_2d", "Gegen_norm", "Gegen_norm_2d", "Gegen_polyn", "Gegen_polyn_2d", "Gegen_series", "Gegen_series_2d" ] }, { "page": "harmonics", "title": "(Hyper)spherical harmonics", "topics": [ "g_i_k", "harmonics" ] }, { "page": "int_sph_MC", "title": "Monte Carlo integration of functions on the (hyper)sphere", "topics": [ "int_sph_MC" ] }, { "page": "locdev", "title": "Local projected alternatives to uniformity", "topics": [ "con_f", "cutoff_locdev", "d_locdev", "f_locdev", "locdev", "r_locdev" ] }, { "page": "cir_stat_distr", "title": "Asymptotic distributions for circular uniformity statistics", "topics": [ "cir_stat_distr", "d_cir_stat_Ajne", "d_cir_stat_Bakshaev", "d_cir_stat_Bingham", "d_cir_stat_Gine_Fn", "d_cir_stat_Gine_Gn", "d_cir_stat_Gini", "d_cir_stat_Gini_squared", "d_cir_stat_Greenwood", "d_cir_stat_Hermans_Rasson", "d_cir_stat_Hodges_Ajne", "d_cir_stat_Kuiper", "d_cir_stat_Log_gaps", "d_cir_stat_Max_uncover", "d_cir_stat_Num_uncover", "d_cir_stat_PAD", "d_cir_stat_PCvM", "d_cir_stat_Poisson", "d_cir_stat_PRt", "d_cir_stat_Pycke", "d_cir_stat_Pycke_q", "d_cir_stat_Range", "d_cir_stat_Rao", "d_cir_stat_Rayleigh", "d_cir_stat_Riesz", "d_cir_stat_Rothman", "d_cir_stat_Sobolev", "d_cir_stat_Softmax", "d_cir_stat_Stein", "d_cir_stat_Vacancy", "d_cir_stat_Watson", "d_cir_stat_Watson_1976", "d_Kolmogorov", "p_cir_stat_Ajne", "p_cir_stat_Bakshaev", "p_cir_stat_Bingham", "p_cir_stat_Gine_Fn", "p_cir_stat_Gine_Gn", "p_cir_stat_Gini", "p_cir_stat_Gini_squared", "p_cir_stat_Greenwood", "p_cir_stat_Hermans_Rasson", "p_cir_stat_Hodges_Ajne", "p_cir_stat_Hodges_Ajne2", "p_cir_stat_Kuiper", "p_cir_stat_Log_gaps", "p_cir_stat_Max_uncover", "p_cir_stat_Num_uncover", "p_cir_stat_PAD", "p_cir_stat_PCvM", "p_cir_stat_Poisson", "p_cir_stat_PRt", "p_cir_stat_Pycke", "p_cir_stat_Pycke_q", "p_cir_stat_Range", "p_cir_stat_Rao", "p_cir_stat_Rayleigh", "p_cir_stat_Riesz", "p_cir_stat_Rothman", "p_cir_stat_Sobolev", "p_cir_stat_Softmax", "p_cir_stat_Stein", "p_cir_stat_Vacancy", "p_cir_stat_Watson", "p_cir_stat_Watson_1976", "p_Kolmogorov" ] }, { "page": "sph_stat_distr", "title": "Asymptotic distributions for spherical uniformity statistics", "topics": [ "d_sph_stat_Ajne", "d_sph_stat_Bakshaev", "d_sph_stat_Bingham", "d_sph_stat_CJ12", "d_sph_stat_Gine_Fn", "d_sph_stat_Gine_Gn", "d_sph_stat_PAD", "d_sph_stat_PCvM", "d_sph_stat_Poisson", "d_sph_stat_PRt", "d_sph_stat_Rayleigh", "d_sph_stat_Rayleigh_HD", "d_sph_stat_Riesz", "d_sph_stat_Sobolev", "d_sph_stat_Softmax", "d_sph_stat_Stein", "d_sph_stat_Stereo", "p_sph_stat_Ajne", "p_sph_stat_Bakshaev", "p_sph_stat_Bingham", "p_sph_stat_CJ12", "p_sph_stat_Gine_Fn", "p_sph_stat_Gine_Gn", "p_sph_stat_PAD", "p_sph_stat_PCvM", "p_sph_stat_Poisson", "p_sph_stat_PRt", "p_sph_stat_Rayleigh", "p_sph_stat_Rayleigh_HD", "p_sph_stat_Riesz", "p_sph_stat_Sobolev", "p_sph_stat_Softmax", "p_sph_stat_Stein", "p_sph_stat_Stereo", "sph_stat_distr" ] }, { "page": "planets", "title": "Planet orbits", "topics": [ "planets" ] }, { "page": "Pn", "title": "Utilities for projected-ecdf statistics of spherical uniformity", "topics": [ "akx", "f_locdev_Pn", "Gegen_coefs_Pn", "Pn", "psi_Pn" ] }, { "page": "proj_unif", "title": "Projection of the spherical uniform distribution", "topics": [ "d_proj_unif", "proj_unif", "p_proj_unif", "q_proj_unif", "r_proj_unif" ] }, { "page": "Psi", "title": "Shortest angles matrix", "topics": [ "Psi", "Psi_mat", "upper_tri_ind" ] }, { "page": "r_alt", "title": "Sample non-uniformly distributed spherical data", "topics": [ "r_alt" ] }, { "page": "r_unif", "title": "Sample uniformly distributed circular and spherical data", "topics": [ "r_unif", "r_unif_cir", "r_unif_sph" ] }, { "page": "rhea", "title": "Rhea craters from Hirata (2016)", "topics": [ "rhea" ] }, { "page": "rot_ab", "title": "Rotate a sample of spherical data", "topics": [ "H_ab", "rot_ab" ] }, { "page": "Sobolev", "title": "Asymptotic distributions of Sobolev statistics of spherical uniformity", "topics": [ "d_p_k", "d_Sobolev", "p_Sobolev", "q_Sobolev", "Sobolev", "weights_dfs_Sobolev" ] }, { "page": "Sobolev_coefs", "title": "Transformation between different coefficients in Sobolev statistics", "topics": [ "bk_to_uk", "bk_to_vk2", "Sobolev_coefs", "uk_to_bk", "uk_to_vk2", "vk2_to_bk", "vk2_to_uk" ] }, { "page": "sph_stat", "title": "Statistics for testing (hyper)spherical uniformity", "topics": [ "sph_stat", "sph_stat_Ajne", "sph_stat_Bakshaev", "sph_stat_Bingham", "sph_stat_CCF09", "sph_stat_CJ12", "sph_stat_Gine_Fn", "sph_stat_Gine_Gn", "sph_stat_PAD", "sph_stat_PCvM", "sph_stat_Poisson", "sph_stat_PRt", "sph_stat_Pycke", "sph_stat_Rayleigh", "sph_stat_Rayleigh_HD", "sph_stat_Riesz", "sph_stat_Softmax", "sph_stat_Stereo" ] }, { "page": "sph_stat_Sobolev", "title": "Finite Sobolev statistics for testing (hyper)spherical uniformity", "topics": [ "cir_stat_Sobolev", "sph_stat_Sobolev" ] }, { "page": "unif_cap", "title": "Uniform spherical cap distribution", "topics": [ "c_unif_cap", "d_proj_unif_cap", "d_unif_cap", "p_proj_unif_cap", "q_proj_unif_cap", "r_proj_unif_cap", "r_unif_cap", "unif_cap" ] }, { "page": "unif_stat", "title": "Circular and (hyper)spherical uniformity statistics", "topics": [ "unif_stat" ] }, { "page": "unif_stat_distr", "title": "Null distributions for 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