{ "_id": "6ac8b04ade46216d5edd5acc", "Type": "Package", "Package": "multIntTestFunc", "Title": "Provides Test Functions for Multivariate Integration", "Version": "0.3.0", "Authors@R": "person(given = \"Klaus\", family = \"Herrmann\", role = c(\"aut\", \"cre\"), email = \"klaus.herrmann@usherbrooke.ca\", comment = c(ORCID = \"0000-0002-8044-5717\"))", "Maintainer": "Klaus Herrmann ", "Description": "Provides implementations of functions that can be used to\ntest multivariate integration routines. The package covers six\ndifferent integration domains (unit hypercube, unit ball, unit\nsphere, standard simplex, non-negative real numbers and R^n).\nFor each domain several functions with different properties\n(smooth, non-differentiable, ...) are available. The functions\nare available in all dimensions n >= 1. For each function the\nexact value of the integral is known and implemented to allow\ntesting the accuracy of multivariate integration routines.\nDetails on the available test functions can be found at on the\ndevelopment website.", "License": "MIT + file LICENSE", "URL": "https://github.com/KlausHerrmann/multIntTestFunc", "VignetteBuilder": "knitr", "Encoding": "UTF-8", "RoxygenNote": "7.3.1.9000", "Collate": "'AllGeneric.R' 'Pn_lognormalDensity.R' 'Pn_logtDensity.R'\n'Rn_Gauss.R' 'Rn_floorNorm.R' 'Rn_normalDensity.R'\n'Rn_tDensity.R' 'domainChecks.R' 'misc.R' 'multIntTestFunc.R'\n'standardSimplex_Dirichlet.R' 'standardSimplex_exp_sum.R'\n'unitBall_normGauss.R' 'unitBall_polynomial.R'\n'unitCube_BFN1.R' 'unitCube_BFN2.R' 'unitCube_BFN3.R'\n'unitCube_BFN4.R' 'unitCube_Genz1.R' 'unitCube_cos2.R'\n'unitCube_floor.R' 'unitCube_max.R'\n'unitSphere_innerProduct1.R' 'unitSphere_polynomial.R'", "Repository": "https://klausherrmann.r-universe.dev", "Date/Publication": "2024-09-09 19:39:08 UTC", "RemoteUrl": "https://github.com/klausherrmann/multinttestfunc", "RemoteRef": "HEAD", "RemoteSha": "14ec16c309d9c6eac29b0eb53ac12f32bc51ae7d", "RemoteSubdir": "multIntTestFunc", "NeedsCompilation": "no", "Packaged": { "Date": "2026-10-09 09:10:10 UTC", "User": "root" }, "Author": "Klaus Herrmann [aut, cre] (ORCID:\n)", "_user": "klausherrmann", "_type": "src", "_file": "multIntTestFunc_0.3.0.tar.gz", "_fileid": "https://r2.ropensci.org/697526cf89f71cb66b9af23a68cb95b9bc4d04486443b2cd55f965416682ca2e", "_filesize": 337372, "_sha256": "697526cf89f71cb66b9af23a68cb95b9bc4d04486443b2cd55f965416682ca2e", "_expires": "2027-01-17T09:13:44.000Z", "_created": "2026-10-09T09:10:10.000Z", "_published": "2026-10-09T09:13:46.581Z", "_buildurl": "https://github.com/r-universe/klausherrmann/actions/runs/37909234039", "_status": "success", "_host": "GitHub-Actions", "_jobs": [ { "job": 113751188795, "time": 106, "config": "linux-devel-x86_64", "r": "4.7.0", "check": "OK", "artifact": 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"_usedby": 0, "_updates": [], "_tags": [], "_stars": 1, "_contributors": [ { "user": "klausherrmann", "count": 5, "uuid": 5339872 } ], "_userbio": { "uuid": 5339872, "type": "user", "name": "Klaus Herrmann", "followers": 1 }, "_downloads": { "count": 243, "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/multIntTestFunc" }, "_devurl": "https://github.com/klausherrmann/multinttestfunc", "_searchresults": 1, "_rbuild": "4.6.1", "_assets": [ "extra/citation.cff", "extra/citation.html", "extra/citation.json", "extra/citation.txt", "extra/contents.json", "extra/manual.pdf", "extra/multIntTestFunc.html", "extra/NEWS.html", "extra/NEWS.txt", "extra/readme.html", "extra/readme.md", "LICENSE" ], "_homeurl": "https://github.com/klausherrmann/multinttestfunc", "_realowner": "klausherrmann", "_cranurl": true, "_releases": [ { "version": "0.1.1", "date": "2021-10-05" }, { "version": "0.2.0", "date": "2023-04-19" }, { "version": "0.3.0", "date": "2024-09-07" } ], "_exports": [ "checkClosedUnitBall", "checkClosedUnitCube", "checkPos", "checkRn", "checkStandardSimplex", "checkUnitSphere", "domainCheck", "domainCheckP", "evaluate", "exactIntegral", "getIntegrationDomain", "getReferences", "getTags", "pIntRule", "Pn_lognormalDensity", "Pn_logtDensity", "Rn_floorNorm", "Rn_Gauss", "Rn_normalDensity", "Rn_tDensity", "standardSimplex_Dirichlet", "standardSimplex_exp_sum", "unitBall_normGauss", "unitBall_polynomial", "unitCube_BFN1", "unitCube_BFN2", "unitCube_BFN3", "unitCube_BFN4", "unitCube_cos2", "unitCube_floor", "unitCube_Genz1", "unitCube_max", "unitSphere_innerProduct1", "unitSphere_polynomial" ], "_help": [ { "page": "checkClosedUnitBall", "title": "Domain check for closed unit ball \\{\\vec{x} \\in R^n : \\Vert \\vec{x} \\Vert_{2} <= 1\\}", "topics": [ "checkClosedUnitBall" ] }, { "page": "checkClosedUnitCube", "title": "Domain check for closed unit hypercube [0,1]^n", "topics": [ "checkClosedUnitCube" ] }, { "page": "checkPos", "title": "Domain check for [0,Inf)^n", "topics": [ "checkPos" ] }, { "page": "checkRn", "title": "Domain check for R^n", "topics": [ "checkRn" ] }, { "page": "checkStandardSimplex", "title": "Domain check for standard simplex \\{\\vec{x} \\in R^n : x_i >= 0, \\Vert \\vec{x} \\Vert_1 <= 1 \\}", "topics": [ "checkStandardSimplex" ] }, { "page": "checkUnitSphere", "title": "Domain check for unit sphere \\{\\vec{x} \\in R^n : \\Vert \\vec{x} \\Vert_{2} = 1\\}", "topics": [ "checkUnitSphere" ] }, { "page": "domainCheck", "title": "Check if node points are in the domain of a test function instance", "topics": [ "domainCheck", "domainCheck,Pn_lognormalDensity,matrix-method", "domainCheck,Pn_logtDensity,matrix-method", "domainCheck,Rn_floorNorm,matrix-method", "domainCheck,Rn_Gauss,matrix-method", "domainCheck,Rn_normalDensity,matrix-method", "domainCheck,Rn_tDensity,matrix-method", "domainCheck,standardSimplex_Dirichlet,matrix-method", "domainCheck,standardSimplex_exp_sum,matrix-method", "domainCheck,unitBall_normGauss,matrix-method", "domainCheck,unitBall_polynomial,matrix-method", "domainCheck,unitCube_BFN1,matrix-method", "domainCheck,unitCube_BFN2,matrix-method", "domainCheck,unitCube_BFN3,matrix-method", "domainCheck,unitCube_BFN4,matrix-method", "domainCheck,unitCube_cos2,matrix-method", "domainCheck,unitCube_floor,matrix-method", "domainCheck,unitCube_Genz1,matrix-method", "domainCheck,unitCube_max,matrix-method", "domainCheck,unitSphere_innerProduct1,matrix-method", "domainCheck,unitSphere_polynomial,matrix-method" ] }, { "page": "domainCheckP", "title": "Check if node points are in the domain of a test function instance (\"overload\" of domainCheck with additional parameter)", "topics": [ "domainCheckP", "domainCheckP,unitSphere_innerProduct1,matrix,list-method", "domainCheckP,unitSphere_polynomial,matrix,list-method" ] }, { "page": "evaluate", "title": "Evaluate test function instance for a set of node points", "topics": [ "evaluate", "evaluate,Pn_lognormalDensity,matrix-method", "evaluate,Pn_logtDensity,ANY-method", "evaluate,Rn_floorNorm,matrix-method", "evaluate,Rn_Gauss,matrix-method", "evaluate,Rn_normalDensity,matrix-method", "evaluate,Rn_tDensity,ANY-method", "evaluate,standardSimplex_Dirichlet,matrix-method", "evaluate,standardSimplex_exp_sum,matrix-method", "evaluate,unitBall_normGauss,matrix-method", "evaluate,unitBall_polynomial,matrix-method", "evaluate,unitCube_BFN1,matrix-method", "evaluate,unitCube_BFN2,matrix-method", "evaluate,unitCube_BFN3,matrix-method", "evaluate,unitCube_BFN4,matrix-method", "evaluate,unitCube_cos2,matrix-method", "evaluate,unitCube_floor,matrix-method", "evaluate,unitCube_Genz1,matrix-method", "evaluate,unitCube_max,matrix-method", "evaluate,unitSphere_innerProduct1,matrix-method", "evaluate,unitSphere_polynomial,matrix-method" ] }, { "page": "exactIntegral", "title": "Get exact integral for test function instance", "topics": [ "exactIntegral", "exactIntegral,Pn_lognormalDensity-method", "exactIntegral,Pn_logtDensity-method", "exactIntegral,Rn_floorNorm-method", "exactIntegral,Rn_Gauss-method", "exactIntegral,Rn_normalDensity-method", "exactIntegral,Rn_tDensity-method", "exactIntegral,standardSimplex_Dirichlet-method", "exactIntegral,standardSimplex_exp_sum-method", "exactIntegral,unitBall_normGauss-method", "exactIntegral,unitBall_polynomial-method", "exactIntegral,unitCube_BFN1-method", "exactIntegral,unitCube_BFN2-method", "exactIntegral,unitCube_BFN3-method", "exactIntegral,unitCube_BFN4-method", "exactIntegral,unitCube_cos2-method", "exactIntegral,unitCube_floor-method", "exactIntegral,unitCube_Genz1-method", "exactIntegral,unitCube_max-method", "exactIntegral,unitSphere_innerProduct1-method", "exactIntegral,unitSphere_polynomial-method" ] }, { "page": "getIntegrationDomain", "title": "Get description of integration domain for test function instance", "topics": [ "getIntegrationDomain", "getIntegrationDomain,Pn_lognormalDensity-method", "getIntegrationDomain,Pn_logtDensity-method", "getIntegrationDomain,Rn_floorNorm-method", "getIntegrationDomain,Rn_Gauss-method", "getIntegrationDomain,Rn_normalDensity-method", "getIntegrationDomain,Rn_tDensity-method", "getIntegrationDomain,standardSimplex_Dirichlet-method", "getIntegrationDomain,standardSimplex_exp_sum-method", "getIntegrationDomain,unitBall_normGauss-method", "getIntegrationDomain,unitBall_polynomial-method", "getIntegrationDomain,unitCube_BFN1-method", "getIntegrationDomain,unitCube_BFN2-method", "getIntegrationDomain,unitCube_BFN3-method", "getIntegrationDomain,unitCube_BFN4-method", "getIntegrationDomain,unitCube_cos2-method", "getIntegrationDomain,unitCube_floor-method", "getIntegrationDomain,unitCube_Genz1-method", "getIntegrationDomain,unitCube_max-method", "getIntegrationDomain,unitSphere_innerProduct1-method", "getIntegrationDomain,unitSphere_polynomial-method" ] }, { "page": "getReferences", "title": "Get references for test function instance", "topics": [ "getReferences", "getReferences,Pn_lognormalDensity-method", "getReferences,Pn_logtDensity-method", "getReferences,Rn_floorNorm-method", "getReferences,Rn_Gauss-method", "getReferences,Rn_normalDensity-method", "getReferences,Rn_tDensity-method", "getReferences,standardSimplex_Dirichlet-method", "getReferences,standardSimplex_exp_sum-method", "getReferences,unitBall_normGauss-method", "getReferences,unitBall_polynomial-method", "getReferences,unitCube_BFN1-method", "getReferences,unitCube_BFN2-method", "getReferences,unitCube_BFN3-method", "getReferences,unitCube_BFN4-method", "getReferences,unitCube_cos2-method", "getReferences,unitCube_floor-method", "getReferences,unitCube_Genz1-method", "getReferences,unitCube_max-method", "getReferences,unitSphere_innerProduct1-method", "getReferences,unitSphere_polynomial-method" ] }, { "page": "getTags", "title": "Get tags for test function instance", "topics": [ "getTags", "getTags,Pn_lognormalDensity-method", "getTags,Pn_logtDensity-method", "getTags,Rn_floorNorm-method", "getTags,Rn_Gauss-method", "getTags,Rn_normalDensity-method", "getTags,Rn_tDensity-method", "getTags,standardSimplex_Dirichlet-method", "getTags,standardSimplex_exp_sum-method", "getTags,unitBall_normGauss-method", "getTags,unitBall_polynomial-method", "getTags,unitCube_BFN1-method", "getTags,unitCube_BFN2-method", "getTags,unitCube_BFN3-method", "getTags,unitCube_BFN4-method", "getTags,unitCube_cos2-method", "getTags,unitCube_floor-method", "getTags,unitCube_Genz1-method", "getTags,unitCube_max-method", "getTags,unitSphere_innerProduct1-method", "getTags,unitSphere_polynomial-method" ] }, { "page": "multIntTestFunc", "title": "multIntTestFunc: A package to define test functions for multivariate numerical integration.", "topics": [ "multIntTestFunc" ] }, { "page": "pIntRule", "title": "Product rule for numerical quadrature from univariate nodes and weights", "topics": [ "pIntRule" ] }, { "page": "Pn_lognormalDensity-class", "title": "An S4 class to represent the function \\frac{1}{(prod_{i=1}^{n}x_i) sqrt{(2pi)^n\\det(Sigma)}}\\exp(-((\\ln(\\vec{x})-\\vec{mu})^{T}Sigma^{-1}(\\ln(\\vec{x})-\\vec{mu}))/2) on [0,Inf)^n", "topics": [ "Pn_lognormalDensity", "Pn_lognormalDensity-class" ] }, { "page": "Pn_logtDensity-class", "title": "An S4 class to represent the function (prod_{i=1}^n x_i^{-1})\\frac{Gamma[(nu+n)/2]}{Gamma(nu/2)nu^{n/2}pi^{n/2}|{Sigma}|^{1/2}}[1+\\frac{1}{nu}({\\log(\\vec{x})}-{\\vec{delta}})^{T}{Sigma}^{-1}({\\log(\\vec{x})}-{\\vec{delta}})]^{-(nu+n)/2} on [0,Inf)^n", "topics": [ "Pn_logtDensity", "Pn_logtDensity-class" ] }, { "page": "Rn_floorNorm-class", "title": "An S4 class to represent the function \\frac{Gamma(n/2+1)}{pi^{n/2}(1+\\lfloor \\Vert \\vec{x} \\Vert_2^n \\rfloor)^s} on R^n", "topics": [ "Rn_floorNorm", "Rn_floorNorm-class" ] }, { "page": "Rn_Gauss-class", "title": "An S4 class to represent the function \\exp(-\\vec{x}\\cdot\\vec{x}) on R^n", "topics": [ "Rn_Gauss", "Rn_Gauss-class" ] }, { "page": "Rn_normalDensity-class", "title": "An S4 class to represent the function \\frac{1}{sqrt{(2pi)^n\\det(Sigma)}}\\exp(-((\\vec{x}-\\vec{mu})^{T}Sigma^{-1}(\\vec{x}-\\vec{mu}))/2) on R^n", "topics": [ "Rn_normalDensity", "Rn_normalDensity-class" ] }, { "page": "Rn_tDensity-class", "title": "An S4 class to represent the function \\frac{Gamma[(nu+n)/2]}{Gamma(nu/2)nu^{n/2}pi^{n/2}|{Sigma}|^{1/2}}[1+\\frac{1}{nu}({\\vec{x}}-{\\vec{delta}})^{T}{Sigma}^{-1}({\\vec{x}}-{\\vec{delta}})]^{-(nu+n)/2} on R^n", "topics": [ "Rn_tDensity", "Rn_tDensity-class" ] }, { "page": "standardSimplex_Dirichlet-class", "title": "An S4 class to represent the function prod_{i=1}^{n}x_i^{v_i-1}(1 - x_1 - ... - x_n)^{v_{n+1}-1} on T_n", "topics": [ "standardSimplex_Dirichlet", "standardSimplex_Dirichlet-class" ] }, { "page": "standardSimplex_exp_sum-class", "title": "An S4 class to represent the function \\exp(-c(x_1 + ... + x_n)) on T_n", "topics": [ "standardSimplex_exp_sum", "standardSimplex_exp_sum-class" ] }, { "page": "unitBall_normGauss-class", "title": "An S4 class to represent the function \\frac{1}{(2pi)^{n/2}}\\exp(-\\Vert\\vec{x}\\Vert_2^2/2) on B^{n}", "topics": [ "unitBall_normGauss", "unitBall_normGauss-class" ] }, { "page": "unitBall_polynomial-class", "title": "An S4 class to represent the function prod_{i=1}^n x_i^{a_i} on B_n", "topics": [ "unitBall_polynomial", "unitBall_polynomial-class" ] }, { "page": "unitCube_BFN1-class", "title": "An S4 class to represent the function prod^{n}_{i=1}\\vert 4x_i-2\\vert on [0,1]^n", "topics": [ "unitCube_BFN1", "unitCube_BFN1-class" ] }, { "page": "unitCube_BFN2-class", "title": "An S4 class to represent the function prod^{n}_{i=1} i\\cos(ix_i) on [0,1]^n", "topics": [ "unitCube_BFN2", "unitCube_BFN2-class" ] }, { "page": "unitCube_BFN3-class", "title": "An S4 class to represent the function prod^{n}_{i=1} T_{nu(i)}(2x_i-1) on [0,1]^n", "topics": [ "unitCube_BFN3", "unitCube_BFN3-class" ] }, { "page": "unitCube_BFN4-class", "title": "An S4 class to represent the function sum_{i=1}^{n}(-1)^i prod_{j=1}^{i} x_j on [0,1]^n", "topics": [ "unitCube_BFN4", "unitCube_BFN4-class" ] }, { "page": "unitCube_cos2-class", "title": "An S4 class to represent the function (\\cos(\\vec{x}\\cdot\\vec{v}))^2 on [0,1]^n", "topics": [ "unitCube_cos2", "unitCube_cos2-class" ] }, { "page": "unitCube_floor-class", "title": "An S4 class to represent the function \\lfloor x_1 + ... + x_n \\rfloor on [0,1]^n", "topics": [ "unitCube_floor", "unitCube_floor-class" ] }, { "page": "unitCube_Genz1-class", "title": "An S4 class to represent the function \\cos(2pi u + sum^{n}_{i=1} a_i x_i ) on [0,1]^n", "topics": [ "unitCube_Genz1", "unitCube_Genz1-class" ] }, { "page": "unitCube_max-class", "title": "An S4 class to represent the function \\max(x_1,...,x_n) on [0,1]^n", "topics": [ "unitCube_max", "unitCube_max-class" ] }, { "page": "unitSphere_innerProduct1-class", "title": "An S4 class to represent the function (\\vec{x}\\cdot\\vec{a})(\\vec{x}\\cdot\\vec{b}) on S^{n-1}", "topics": [ "unitSphere_innerProduct1", "unitSphere_innerProduct1-class" ] }, { "page": "unitSphere_polynomial-class", "title": "An S4 class to represent the function prod_{i=1}^n x_i^{a_i} on S^{n-1}", "topics": [ "unitSphere_polynomial", "unitSphere_polynomial-class" ] } ], "_readme": "https://github.com/klausherrmann/multinttestfunc/raw/HEAD/README.md", "_rundeps": [ "mvtnorm", "pracma" ], "_vignettes": [ { "source": "Integration_Test_Rn.Rmd", "filename": "Integration_Test_Rn.html", "title": "Integration Test for Rn", "engine": "knitr::rmarkdown", "headings": [ "Introduction" ], "created": "2023-04-18 17:34:10", "modified": "2023-04-18 17:34:10", "commits": 1 }, { "source": "MC_Integration_Test_Unit_Hypercube.Rmd", "filename": "MC_Integration_Test_Unit_Hypercube.html", "title": "Monte Carlo Integration Tests for the Unit Hypercube", "engine": "knitr::rmarkdown", "headings": [ 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