Make results reproducible

This commit is contained in:
Aaron Fenyes 2024-02-15 16:00:46 -08:00
parent 8d8bc9162c
commit ae5db0f9ea
2 changed files with 7 additions and 6 deletions

View file

@ -1,5 +1,6 @@
module Numerical
using Random: default_rng
using LinearAlgebra
using AbstractAlgebra
using HomotopyContinuation:
@ -28,16 +29,16 @@ end
# --- sampling ---
function real_samples(F::AbstractSystem, dim)
function real_samples(F::AbstractSystem, dim; rng = default_rng())
# choose a random real hyperplane of codimension `dim` by intersecting
# hyperplanes whose normal vectors are uniformly distributed over the unit
# sphere
# [to do] guard against the unlikely event that one of the normals is zero
normals = transpose(hcat(
(normalize(randn(nvariables(F))) for _ in 1:dim)...
(normalize(randn(rng, nvariables(F))) for _ in 1:dim)...
))
cut = LinearSubspace(normals, fill(0., dim))
filter(isreal, results(witness_set(F, cut)))
filter(isreal, results(witness_set(F, cut, seed = 0x1974abba)))
end
AbstractAlgebra.evaluate(pt::Point, vals::Vector{<:RingElement}) =