mvp-package {mvp}

Fast Symbolic Multivariate Polynomials

Description

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 (Kahle 2013, "Multivariate polynomials in R", The R Journal, 5(1):162), 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.

Details

The DESCRIPTION file:

Package:	mvp
Type:	Package
Title:	Fast Symbolic Multivariate Polynomials
Version:	1.0-14
Authors@R:	person(given=c("Robin", "K. S."), family="Hankin", role = c("aut","cre"), email="[e-mail]", comment = c(ORCID = "0000-0001-5982-0415"))
Depends:	methods,magrittr, mpoly (>= 1.1.0)
Suggests:	knitr,rmarkdown, microbenchmark,testthat,spray
VignetteBuilder:	knitr
Maintainer:	Robin K. S. Hankin <[e-mail]>
Description:	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 (Kahle 2013, "Multivariate polynomials in R", The R Journal, 5(1):162), 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.
License:	GPL (>= 2)
Imports:	Rcpp (>= 1.0-7), partitions, magic, digest, disordR (>= 0.9), numbers
LinkingTo:	Rcpp
URL:	https://github.com/RobinHankin/mvp
BugReports:	https://github.com/RobinHankin/mvp/issues
Author:	Robin K. S. Hankin [aut, cre] (<https://orcid.org/0000-0001-5982-0415>)

Index of help topics:

Ops.mvp                 Arithmetic Ops Group Methods for 'mvp' objects
allvars                 All variables in a multivariate polynomial
as.function.mvp         Functional form for multivariate polynomials
coeffs                  Functionality for 'coeffs' objects
constant                The constant term
deriv                   Differentiation of 'mvp' objects
horner                  Horner's method
invert                  Replace symbols with their reciprocals
kahle                   A sparse multivariate polynomial
knight                  Chess knight
lose                    Drop empty variables
lowlevel                Low level functions
mpoly                   Conversion to and from mpoly form
mvp                     Multivariate polynomials, mvp objects
mvp-package             Fast Symbolic Multivariate Polynomials
ooom                    One over one minus a multivariate polynomial
print.mvp               Print methods for 'mvp' objects
rmvp                    Random multivariate polynomials
series                  Decomposition of multivariate polynomials by
                        powers
special                 Various functions to create simple multivariate
                        polynomials
subs                    Substitution
summary                 Summary methods for mvp objects
zero                    The zero polynomial

Author(s)

NA

Maintainer: Robin K. S. Hankin <[e-mail]>

Examples

(p <- as.mvp("1+x+x*y+x^5"))

p + as.mvp("a+b^6")

p^3

subs(p^4,x="a+b^2")
aderiv(p^2,x=4)
horner(p,1:3)