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elliptic (version 0.4-13)

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

0.4-13

License

GPL

Maintainer

Robin Hankin

Last Published

November 10th, 2025

Functions in elliptic (0.4-13)

as.primitive

Converts basic periods to a primitive pair
eta

Dedekind's eta function
ck

Coefficients of Laurent expansion of Weierstrass P function
newton.rapheson

Newton Rapheson iteration to find roots of equations
nome

Nome in terms of m or k
pari

Wrappers for PARI functions
parameters

Parameters for Weierstrass's P function
theta1dash

Derivatives of theta functions
view

Visualization of complex functions
limit

Limit the magnitude of elements of a vector
e16.28.1

Numerical verification of equations 16.28.1 to 16.28.5
near.match

Are two vectors close to one another?
sn

Jacobi form of the elliptic functions
congruence

Solves mx+by=1 for x and y
p1.tau

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

Neville's form for the theta functions
e18.10.9

Numerical checks of equations 18.10.9-11, page 650
unimodular

Unimodular matrices
farey

Farey sequences
coqueraux

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

Plots a lattice of periods on the complex plane
divisor

Number theoretic functions
K.fun

quarter period K
J

Various modular functions
e1e2e3

Calculate e1, e2, e3 from the invariants
theta

Jacobi theta functions 1-4
mob

Moebius transformations
equianharmonic

Special cases of the Weierstrass elliptic function
myintegrate

Complex integration
misc

Manipulate real or imaginary components of an object
g.fun

Calculates the invariants g2 and g3
WeierstrassP

Weierstrass P and related functions
sqrti

Generalized square root
theta1.dash.zero

Derivative of theta1
fpp

Fundamental period parallelogram
massage

Massages numbers near the real line to be real
P.laurent

Laurent series for elliptic and related functions
amn

matrix a on page 637
lattice

Lattice of complex numbers
half.periods

Calculates half periods in terms of e