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Engine prototype #13

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glen merged 133 commits from engine-proto into main 2024-10-21 03:18:48 +00:00
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engine-proto/gram-test/descent-test.jl
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@ -21,7 +21,7 @@ end
# === example ===
# the Lorentz form
Q = diagm([-1, 1, 1, 1, 1])
Q = diagm([1, 1, 1, 1, -1])
# 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
@ -54,11 +54,11 @@ gram[1, 6] = gram[6, 1]
# in this initial guess, the mutual tangency condition is satisfied for spheres
# 1 through 5
guess = sqrt(0.5) * BigFloat[
1 1 1 1 2 0.2 0.1;
0 0 0 0 -sqrt(6) 0.3 -0.2;
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
1 -1 -1 1 0 0.1 -0.2;
0 0 0 0 -sqrt(6) 0.3 -0.2;
1 1 1 1 2 0.2 0.1;
]
# search parameters