gsl - Wrapper for the Gnu Scientific Library

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

Last updated 21 days ago

gsl

11.69 score 15 stars 200 dependents 504 scripts 18k 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.

Last updated 19 days ago

11.01 score 3 stars 226 dependents 436 scripts 14k 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.

Last updated 6 months ago

cpp

10.12 score 10 stars 77 dependents 189 scripts 5.0k 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.

Last updated 5 months ago

9.61 score 3 stars 68 dependents 77 scripts 19k 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.

Last updated 6 months ago

9.25 score 3 stars 79 dependents 54 scripts 16k downloads

hypergeo - The Gauss Hypergeometric Function

The Gaussian hypergeometric function for complex numbers.

Last updated 7 months ago

cpp

8.62 score 2 stars 77 dependents 109 scripts 17k 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>.

Last updated 6 days ago

8.23 score 6 stars 2 dependents 49 scripts 370 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.

Last updated 7 months ago

8.13 score 4 stars 17 dependents 56 scripts 1.5k 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>.

Last updated 2 days ago

cpp

7.91 score 5 stars 1 dependents 38 scripts 784 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.

Last updated 3 days ago

7.32 score 6 stars 3 dependents 43 scripts 554 downloads

contfrac - Continued Fractions

Various utilities for evaluating continued fractions.

Last updated 5 months ago

7.26 score 78 dependents 12 scripts 13k 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 19 days ago

cpp

7.16 score 3 stars 10 dependents 532 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 26 days ago

cpp

6.94 score 9 stars 2 dependents 36 scripts 277 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>.

Last updated 20 days ago

cpp

6.74 score 2 stars 4 dependents 35 scripts 378 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.

Last updated 4 days ago

cpp

6.73 score 5 stars 4 scripts 275 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>.

Last updated 19 days ago

6.66 score 3 stars 367 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>.

Last updated 3 months ago

6.56 score 1 stars 20 dependents 998 downloads

untb - Ecological Drift under the UNTB

Hubbell's Unified Neutral Theory of Biodiversity.

Last updated 2 months ago

6.53 score 4 stars 80 scripts 401 downloads

knotR - Knot Diagrams using Bezier Curves

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

Last updated 1 years ago

5.69 score 6 stars 164 scripts 254 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>.

Last updated 18 days ago

5.59 score 3 stars 4 scripts 196 downloads

lorentz - The Lorentz Transform in Relativistic Physics

The Lorentz transform in special relativity; also the gyrogroup structure of three-velocities. Performs active and passive transforms 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.

Last updated 26 days ago

5.32 score 4 stars 15 scripts 250 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>.

Last updated 2 months ago

cpp

5.29 score 1 stars 1 dependents 268 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>.

Last updated 18 days ago

5.06 score 33 scripts 280 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.

Last updated 26 days ago

4.91 score 6 dependents 239 downloads

evitaicossa - Antiassociative Algebra

Methods to deal with the free antiassociative algebra over the reals with an arbitrary number of indeterminates. Antiassociativity means that (xy)z = -x(yz). Antiassociative algebras are nilpotent with nilindex four (Remm, 2022, <doi:10.48550/arXiv.2202.10812>) and this drives the design and philosophy of the package. Methods are defined to create and manipulate arbitrary elements of the antiassociative algebra, and to extract and replace coefficients. A vignette is provided.

Last updated 2 months ago

cpp

4.88 score 205 downloads

cmvnorm - The Complex Multivariate Gaussian Distribution

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

Last updated 3 months ago

4.70 score 2 stars 7 scripts 278 downloads

MM - The Multiplicative Multinomial Distribution

Various utilities for the Multiplicative Multinomial distribution.

Last updated 9 months ago

4.64 score 22 scripts 625 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>.

Last updated 7 months ago

4.60 score 2 scripts 230 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/.

Last updated 4 years ago

4.60 score 1 stars 3 dependents 44 scripts 703 downloads

ResistorArray - Electrical Properties of Resistor Networks

Electrical properties of resistor networks using matrix methods.

Last updated 1 years ago

4.32 score 1 dependents 14 scripts 652 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.

Last updated 1 years ago

4.26 score 4 dependents 15 scripts 701 downloads

approximator - Bayesian Prediction of Complex Computer Codes

Performs Bayesian prediction of complex computer codes when fast approximations are available. It uses a hierarchical version of the Gaussian process, originally proposed by Kennedy and O'Hagan (2000), Biometrika 87(1):1.

Last updated 1 years ago

3.80 score 1 dependents 21 scripts 437 downloads

multivator - A Multivariate Emulator

A multivariate generalization of the emulator package.

Last updated 1 years ago

3.62 score 21 scripts 264 downloads

Oarray - Arrays with Arbitrary Offsets

Generalise the starting point of the array index.

Last updated 5 months ago

3.48 score 1 dependents 2 scripts 314 downloads

BACCO - Bayesian Analysis of Computer Code Output (BACCO)

The BACCO bundle of packages is replaced by the BACCO package, which provides a vignette that illustrates the constituent packages (emulator, approximator, calibrator) in use.

Last updated 1 years ago

3.00 score 400 downloads

Davies - The Davies Quantile Function

Various utilities for the Davies distribution.

Last updated 3 years ago

2.90 score 16 scripts 390 downloads