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gsl - Wrapper for the Gnu Scientific Library

An R wrapper for some of the functionality of the Gnu Scientific Library.

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gsl

12.49 score 19 stars 240 dependents 636 scripts 29k downloads

partitions - Additive Partitions of Integers

Additive partitions of integers. Enumerates the partitions, unequal partitions, and restricted partitions of an integer; the three corresponding partition functions are also given. Set partitions and now compositions and riffle shuffles are included.

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cpp

12.12 score 11 stars 81 dependents 2.0k scripts 16k downloads

magic - Create and Investigate Magic Squares

A collection of functions for the manipulation and analysis of arbitrarily dimensioned arrays. The original motivation for the package was the development of efficient, vectorized algorithms for the creation and investigation of magic squares and high-dimensional magic hypercubes.

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11.39 score 5 stars 264 dependents 367 scripts 28k downloads

Brobdingnag - Very Large Numbers in R

Very large numbers in R. Real numbers are held using their natural logarithms, plus a logical flag indicating sign. Functionality for complex numbers is also provided. The package includes a vignette that gives a step-by-step introduction to using S4 methods.

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10.74 score 6 stars 84 dependents 79 scripts 44k downloads

elliptic - Weierstrass and Jacobi Elliptic Functions

A suite of elliptic and related functions including Weierstrass and Jacobi forms. Also includes various tools for manipulating and visualizing complex functions.

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9.62 score 3 stars 84 dependents 65 scripts 21k downloads

hypergeo - The Gauss Hypergeometric Function

The Gaussian hypergeometric function for complex numbers.

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cpp

9.44 score 2 stars 82 dependents 105 scripts 27k downloads

permutations - The Symmetric Group: Permutations of a Finite Set

Manipulates invertible functions from a finite set to itself. Can transform from word form to cycle form and back. To cite the package in publications please use Hankin (2020) "Introducing the permutations R package", SoftwareX, volume 11 <doi:10.1016/j.softx.2020.100453>.

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8.44 score 7 stars 3 dependents 52 scripts 551 downloads

emulator - Bayesian Emulation of Computer Programs

Allows one to estimate the output of a computer program, as a function of the input parameters, without actually running it. The computer program is assumed to be a Gaussian process, whose parameters are estimated using Bayesian techniques that give a PDF of expected program output. This PDF is conditional on a training set of runs, each consisting of a point in parameter space and the model output at that point. The emphasis is on complex codes that take weeks or months to run, and that have a large number of undetermined input parameters; many climate prediction models fall into this class. The emulator essentially determines Bayesian posterior estimates of the PDF of the output of a model, conditioned on results from previous runs and a user-specified prior linear model. The package includes functionality to evaluate quadratic forms efficiently.

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8.16 score 4 stars 20 dependents 109 scripts 2.8k downloads

contfrac - Continued Fractions

Various utilities for evaluating continued fractions.

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8.09 score 80 dependents 13 scripts 20k downloads

hyper2 - The Hyperdirichlet Distribution, Mark 2

A suite of routines for the hyperdirichlet distribution and reified Bradley-Terry; supersedes the 'hyperdirichlet' package; uses 'disordR' discipline <doi:10.48550/ARXIV.2210.03856>. To cite in publications please use Hankin 2017 <doi:10.32614/rj-2017-061>, and for Generalized Plackett-Luce likelihoods use Hankin 2024 <doi:10.18637/jss.v109.i08>.

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cpp

8.08 score 7 stars 1 dependents 32 scripts 732 downloads

onion - Octonions and Quaternions

Quaternions and Octonions are four- and eight- dimensional extensions of the complex numbers. They are normed division algebras over the real numbers and find applications in spatial rotations (quaternions), and string theory and relativity (octonions). The quaternions are noncommutative and the octonions nonassociative. See the package vignette for more details.

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7.26 score 6 stars 3 dependents 85 scripts 477 downloads

mvp - Fast Symbolic Multivariate Polynomials

Fast manipulation of symbolic multivariate polynomials using the 'Map' class of the Standard Template Library. The package uses print and coercion methods from the 'mpoly' package but offers speed improvements. It is comparable in speed to the 'spray' package for sparse arrays, but retains the symbolic benefits of 'mpoly'. To cite the package in publications, use Hankin 2022 <doi:10.48550/ARXIV.2210.15991>. Uses 'disordR' discipline.

Last updated

cpp

7.09 score 9 stars 1 dependents 40 scripts 467 downloads

clifford - Arbitrary Dimensional Clifford Algebras

A suite of routines for Clifford algebras, using the 'Map' class of the Standard Template Library. Canonical reference: Hestenes (1987, ISBN 90-277-1673-0, "Clifford algebra to geometric calculus"). Special cases including Lorentz transforms, quaternion multiplication, and Grassmann algebra, are discussed. Vignettes presenting conformal geometric algebra, quaternions and split quaternions, dual numbers, and Lorentz transforms are included. The package follows 'disordR' discipline.

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cpp

6.88 score 7 stars 3 scripts 453 downloads

disordR - Non-Ordered Vectors

Functionality for manipulating values of associative maps. The package is a dependency for mvp-type packages that use the STL map class: it traps plausible idiom that is ill-defined (implementation-specific) and returns an informative error, rather than returning a possibly incorrect result. To cite the package in publications please use Hankin (2022) <doi:10.48550/ARXIV.2210.03856>.

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6.83 score 1 stars 19 dependents 1.3k downloads

freealg - The Free Algebra

The free algebra in R with non-commuting indeterminates. Uses 'disordR' discipline (Hankin, 2022, <doi:10.48550/ARXIV.2210.03856>). To cite the package in publications please use Hankin (2022) <doi:10.48550/ARXIV.2211.04002>.

Last updated

cpp

6.72 score 3 stars 13 dependents 663 downloads

stokes - The Exterior Calculus

Provides functionality for working with tensors, alternating forms, wedge products, Stokes's theorem, and related concepts from the exterior calculus. Uses 'disordR' discipline (Hankin, 2022, <doi:10.48550/arXiv.2210.03856>). The canonical reference would be M. Spivak (1965, ISBN:0-8053-9021-9) "Calculus on Manifolds". To cite the package in publications please use Hankin (2022) <doi:10.48550/arXiv.2210.17008>.

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6.53 score 3 stars 386 downloads

untb - Ecological Drift under the UNTB

Hubbell's Unified Neutral Theory of Biodiversity.

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6.50 score 4 stars 76 scripts 915 downloads

spray - Sparse Arrays and Multivariate Polynomials

Sparse arrays interpreted as multivariate polynomials. Uses 'disordR' discipline (Hankin, 2022, <doi:10.48550/ARXIV.2210.03856>). To cite the package in publications please use Hankin (2022) <doi:10.48550/ARXIV.2210.10848>.

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cpp

6.21 score 2 stars 2 dependents 34 scripts 609 downloads

knotR - Knot Diagrams using Bezier Curves

Makes visually pleasing diagrams of knot projections using optimized Bezier curves.

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6.19 score 6 stars 171 scripts 253 downloads

quadform - Efficient Evaluation of Quadratic Forms

A range of quadratic forms are evaluated, using efficient methods. Unnecessary transposes are not performed. Complex values are handled consistently.

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5.81 score 26 dependents 2.4k downloads

frab - How to Add Two R Tables

Methods to "add" two R tables; also an alternative interpretation of named vectors as generalized R tables, so that c(a=1,b=2,c=3) + c(b=3,a=-1) will return c(b=5,c=3). Uses 'disordR' discipline (Hankin, 2022, <doi:10.48550/arXiv.2210.03856>). Extraction and replacement methods are provided. The underlying mathematical structure is the Free Abelian group, hence the name. To cite in publications please use Hankin (2023) <doi:10.48550/arXiv.2307.13184>.

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cpp

5.32 score 1 stars 2 dependents 407 downloads

lorentz - The Lorentz Transformation in Relativistic Physics

The Lorentz transformation in special relativity; also the gyrogroup structure of three-velocities. Performs active and passive transformations and has the ability to use units in which the speed of light is not unity. Includes some experimental functionality for celerity and rapidity. For general relativity, see the 'schwarzschild' package.

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5.32 score 4 stars 15 scripts 357 downloads

calibrator - Bayesian Calibration of Complex Computer Codes

Performs Bayesian calibration of computer models as per Kennedy and O'Hagan 2001. The package includes routines to find the hyperparameters and parameters; see the help page for stage1() for a worked example using the toy dataset. A tutorial is provided in the calex.Rnw vignette; and a suite of especially simple one dimensional examples appears in inst/doc/one.dim/.

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5.25 score 1 stars 3 dependents 50 scripts 2.0k downloads

freegroup - The Free Group

The free group in R; juxtaposition is represented by a plus. Includes inversion, multiplication by a scalar, group-theoretic power operation, and Tietze forms. To cite the package in publications please use Hankin (2022) <doi:10.48550/ARXIV.2212.05883>.

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5.15 score 35 scripts 389 downloads

weyl - The Weyl Algebra

A suite of routines for Weyl algebras. Notation follows Coutinho (1995, ISBN 0-521-55119-6, "A Primer of Algebraic D-Modules"). Uses 'disordR' discipline (Hankin 2022 <doi:10.48550/arXiv.2210.03856>). To cite the package in publications, use Hankin 2022 <doi:10.48550/arXiv.2212.09230>.

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5.00 score 2 stars 3 scripts 333 downloads

ResistorArray - Electrical Properties of Resistor Networks

Electrical properties of resistor networks using matrix methods.

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4.83 score 1 dependents 15 scripts 390 downloads

multipol - Multivariate Polynomials

Various utilities to manipulate multivariate polynomials. The package is almost completely superceded by the 'spray' and 'mvp' packages, which are much more efficient.

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4.81 score 5 dependents 16 scripts 2.7k downloads

jordan - A Suite of Routines for Working with Jordan Algebras

A Jordan algebra is an algebraic object originally designed to study observables in quantum mechanics. Jordan algebras are commutative but non-associative; they satisfy the Jordan identity. The package follows the ideas and notation of K. McCrimmon (2004, ISBN:0-387-95447-3) "A Taste of Jordan Algebras". To cite the package in publications, please use Hankin (2023) <doi:10.48550/arXiv.2303.06062>.

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4.48 score 2 scripts 570 downloads

MM - The Multiplicative Multinomial Distribution

Various utilities for the Multiplicative Multinomial distribution.

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4.48 score 30 scripts 436 downloads

cmvnorm - The Complex Multivariate Gaussian Distribution

Various utilities for the complex multivariate Gaussian distribution and complex Gaussian processes.

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4.48 score 2 stars 6 scripts 346 downloads