Learn R Programming
⚠️There's a newer version (1.5-1) of this package.Take me there.

elliptic (version 1.0-5)

elliptic functions

Description

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

Copy Link

Version

Install

install.packages('elliptic')

Monthly Downloads

25,111

Version

1.0-5

License

GPL

Maintainer

Robin Hankin

Last Published

November 10th, 2025

Functions in elliptic (1.0-5)

divisor

Number theoretic functions
e1e2e3

Calculate e1, e2, e3 from the invariants
latplot

Plots a lattice of periods on the complex plane
theta.neville

Neville's form for the theta functions
theta

Jacobi theta functions 1-4
ck

Coefficients of Laurent expansion of Weierstrass P function
J

Various modular functions
half.periods

Calculates half periods in terms of e
amn

matrix a on page 637
near.match

Are two vectors close to one another?
newton.rapheson

Newton Rapheson iteration to find roots of equations
farey

Farey sequences
P.laurent

Laurent series for elliptic and related functions
pari

Wrappers for PARI functions
limit

Limit the magnitude of elements of a vector
view

Visualization of complex functions
e18.10.9

Numerical checks of equations 18.10.9-11, page 650
myintegrate

Complex integration
WeierstrassP

Weierstrass P and related functions
misc

Manipulate real or imaginary components of an object
sn

Jacobi form of the elliptic functions
fpp

Fundamental period parallelogram
eta

Dedekind's eta function
K.fun

quarter period K
sqrti

Generalized square root
lattice

Lattice of complex numbers
equianharmonic

Special cases of the Weierstrass elliptic function
parameters

Parameters for Weierstrass's P function
e16.28.1

Numerical verification of equations 16.28.1 to 16.28.5
coqueraux

Fast, conceptually simple, iterative scheme for Weierstrass P functions
congruence

Solves mx+by=1 for x and y
as.primitive

Converts basic periods to a primitive pair
theta1.dash.zero

Derivative of theta1
theta1dash

Derivatives of theta functions
p1.tau

Does the right thing when calling g2.fun() and g3.fun()
mob

Moebius transformations
massage

Massages numbers near the real line to be real
unimodular

Unimodular matrices
g.fun

Calculates the invariants g2 and g3
nome

Nome in terms of m or k