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elliptic (version 0.4-14)

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.

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Version

Install

install.packages('elliptic')

Monthly Downloads

25,111

Version

0.4-14

License

GPL

Maintainer

Robin Hankin

Last Published

November 10th, 2025

Functions in elliptic (0.4-14)

farey

Farey sequences
latplot

Plots a lattice of periods on the complex plane
g.fun

Calculates the invariants g2 and g3
congruence

Solves mx+by=1 for x and y
J

Various modular functions
p1.tau

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

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

Weierstrass P and related functions
fpp

Fundamental period parallelogram
sn

Jacobi form of the elliptic functions
myintegrate

Complex integration
ck

Coefficients of Laurent expansion of Weierstrass P function
view

Visualization of complex functions
nome

Nome in terms of m or k
unimodular

Unimodular matrices
theta1dash

Derivatives of theta functions
theta1.dash.zero

Derivative of theta1
K.fun

quarter period K
eta

Dedekind's eta function
theta

Jacobi theta functions 1-4
mob

Moebius transformations
half.periods

Calculates half periods in terms of e
massage

Massages numbers near the real line to be real
limit

Limit the magnitude of elements of a vector
parameters

Parameters for Weierstrass's P function
P.laurent

Laurent series for elliptic and related functions
sqrti

Generalized square root
theta.neville

Neville's form for the theta functions
lattice

Lattice of complex numbers
e18.10.9

Numerical checks of equations 18.10.9-11, page 650
e16.28.1

Numerical verification of equations 16.28.1 to 16.28.5
near.match

Are two vectors close to one another?
as.primitive

Converts basic periods to a primitive pair
amn

matrix a on page 637
e1e2e3

Calculate e1, e2, e3 from the invariants
newton.rapheson

Newton Rapheson iteration to find roots of equations
equianharmonic

Special cases of the Weierstrass elliptic function
misc

Manipulate real or imaginary components of an object
divisor

Number theoretic functions
pari

Wrappers for PARI functions