Improved algorithm choice for isogeny computation #37242
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GiacomoPope
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Feb 5, 2024
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Thank you! I applied all your suggestions (my |
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I was about to mark this as completed, but somehow |
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Sorry, I keep messing up with git. I deleted it with a new commit, is that fine? Or should I do something different? |
GiacomoPope
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Feb 6, 2024
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Thanks! |
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Test failure, see the CI at https://github.com/sagemath/sage/actions/runs/7805562652 |
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Fixed, I also noticed another failure in the coding style so I fixed that one as well. |
grhkm21
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Feb 10, 2024
grhkm21
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Feb 10, 2024
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If CI passes then it's all good. This already has |
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Documentation preview for this PR (built with commit b4408ab; changes) is ready! 🎉 |
vbraun
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Feb 18, 2024
sagemathgh-37242: Improved algorithm choice for isogeny computation Improved the logic for algorithm choice in `EllipticCurve_field.isogeny()`: - if we have multiple points, `factored` is used; - if the order is known and composite, `factored` is used; - if the order is known and (pseudo-)prime, we chose between the traditional Velù formulae and Velù-sqrt, depending on a parameter; this parameter may be supplied by the user with the `velu_sqrt_bound` argument, and if `None` a global parameter is used (see below); - in all the other cases we fall back to the traditional isogeny algorithm. The new `velu_sqrt_bound`: - can be supplied as a parameter when calling `.isogeny()`; - if supplied, is recursively passed to all calls to `factored`, such that each single isogeny computation has the same bound; - if not supplied, a global value is used instead; this is stored in the object `_velu_sqrt_bound` from `sage.schemes.elliptic_curves.hom_velusqrt`, and is initially set to 1000 (due to empirical observations) but can be manually set at runtime by the user #sd123 URL: sagemath#37242 Reported by: Riccardo Invernizzi Reviewer(s): Giacomo Pope, grhkm21, Riccardo Invernizzi
vbraun
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Feb 19, 2024
sagemathgh-37242: Improved algorithm choice for isogeny computation Improved the logic for algorithm choice in `EllipticCurve_field.isogeny()`: - if we have multiple points, `factored` is used; - if the order is known and composite, `factored` is used; - if the order is known and (pseudo-)prime, we chose between the traditional Velù formulae and Velù-sqrt, depending on a parameter; this parameter may be supplied by the user with the `velu_sqrt_bound` argument, and if `None` a global parameter is used (see below); - in all the other cases we fall back to the traditional isogeny algorithm. The new `velu_sqrt_bound`: - can be supplied as a parameter when calling `.isogeny()`; - if supplied, is recursively passed to all calls to `factored`, such that each single isogeny computation has the same bound; - if not supplied, a global value is used instead; this is stored in the object `_velu_sqrt_bound` from `sage.schemes.elliptic_curves.hom_velusqrt`, and is initially set to 1000 (due to empirical observations) but can be manually set at runtime by the user #sd123 URL: sagemath#37242 Reported by: Riccardo Invernizzi Reviewer(s): Giacomo Pope, grhkm21, Riccardo Invernizzi
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Improved the logic for algorithm choice in
EllipticCurve_field.isogeny():factoredis used;factoredis used;velu_sqrt_boundargument, and ifNonea global parameter is used (see below);The new
velu_sqrt_bound:.isogeny();factored, such that each single isogeny computation has the same bound;_velu_sqrt_boundfromsage.schemes.elliptic_curves.hom_velusqrt, and is initially set to 1000 (due to empirical observations) but can be manually set at runtime by the user#sd123