glen/dyna3
1
0
Fork 0
Code Issues 11 Pull Requests 1 Actions Projects Releases 2 Wiki Activity

Engine prototype #13

Merged
glen merged 133 commits from engine-proto into main 2024-10-21 03:18:48 +00:00
Conversation 9 Commits 133 Files Changed 20 +12 -7
1 changed files with 12 additions and 7 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files
Showing only changes of commit ea354b6c2b - Show all commits

19
engine-proto/gram-test/overlapping-pyramids.jl
View File

@ -3,6 +3,7 @@ include("Engine.jl")
using SparseArrays
using AbstractAlgebra
using PolynomialRoots
using Random
# initialize the partial gram matrix for an arrangement of seven spheres in
# which spheres 1 through 5 are mutually tangent, and spheres 3 through 7 are
@ -34,13 +35,17 @@ gram[1, 6] = gram[6, 1]
# in this initial guess, the mutual tangency condition is satisfied for spheres
# 1 through 5
guess = sqrt(1/BigFloat(2)) * BigFloat[
1 1 -1 -1 0 -0.1 0.3;
1 -1 1 -1 0 -0.5 0.4;
1 -1 -1 1 0 0.1 -0.2;
0 0 0 0 -sqrt(BigFloat(6)) 0.3 -0.2;
1 1 1 1 2 0.2 0.1;
]
Random.seed!(50793)
guess = hcat(
sqrt(1/BigFloat(2)) * BigFloat[
1 1 -1 -1 0;
1 -1 1 -1 0;
1 -1 -1 1 0;
0 0 0 0 -sqrt(BigFloat(6));
1 1 1 1 2;
] + 0.2*Engine.rand_on_shell(fill(BigFloat(-1), 5)),
Engine.rand_on_shell(fill(BigFloat(-1), 2))
)
# complete the gram matrix using gradient descent
L, history = Engine.realize_gram(gram, guess)