Use quadproj instead of the local quadric module
The quadric, x(mu), f, f', mu* and the degenerate points now come from quadproj; the script keeps small helpers for what quadproj does not provide: mu**, the asymptotes and the ellipse boundary. The tests check these helpers against brute-force sampling and quadproj.project. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
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@@ -24,6 +24,8 @@ Text is typeset with LaTeX (`text.usetex`) when `latex` is on the `PATH`, with t
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## Files
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- `quadric.py`: the `Ellipsoid` class (standardization, trajectory, extreme roots, degenerate points).
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- `plot_mu_trajectories.py`: the figure.
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- `test_quadric.py`: checks against brute-force sampling of the ellipse.
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- `plot_mu_trajectories.py`: the figure. The quadric, `x(mu)`, `f`, `f'`, `mu*` and the degenerate
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points come from [quadproj](https://loicvh.gitlab.io/quadproj); the script only adds `mu**`,
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the asymptotes and the ellipse boundary.
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- `test_plot_mu_trajectories.py`: checks these helpers against brute-force sampling of the ellipse
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and against `quadproj.project`.
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