PolynomialAmoebas.jl

PolynomialAmoebas.jl is a package to compute and visualize the amoeba, coamoeba and imaginary projection of bi- and trivariate polynomials as well as the contour and the spine of an two-dimensional amoeba.

Getting started

To construct polynomials we export the macro @polyvar from the DynamicPolynomials.jl package.

using PolynomialAmoebas
# Create variables
@polyvar x y
# construct a polynomial
f = x^2*y + y^2 + 3x^2*y^3 + y^4 + x^4*y^4

To compute the amoeba of f we then can simply do

A = amoeba(f)

To visualize the amoeba we use the plotting capabilities provided by Plots.jl. Just do

using Plots

plot(A)

and you obtain