5 Commits

Author SHA1 Message Date
Peter Dettman
b306935ac1 Optimization: use formulas instead of lookup tables for cancelling g bits
This only seems to be a win on 64-bit platforms, so only do it there.

Refactored by: Pieter Wuille <pieter@wuille.net>
2021-03-15 13:01:56 -07:00
Pieter Wuille
9164a1b658 Optimization: special-case zero modulus limbs in modinv64
Both the field and scalar modulus can be written in signed{30,62} notation
with one or more zero limbs. Make use of this in the update_de function to
avoid a few wide multiplications when that is the case.

This doesn't appear to be a win in the 32-bit implementation, so only
do it for the 64-bit one.
2021-03-15 13:01:56 -07:00
Pieter Wuille
08d54964e5 Improve bounds checks in modinv modules
This commit adds functions to verify and compare numbers in signed{30,62} notation,
and uses that to do more extensive bounds checking on various variables in the modinv
code.
2021-03-11 10:25:22 -08:00
Pieter Wuille
d8a92fcc4c Add extensive comments on the safegcd algorithm and implementation
This adds a long comment explaining the algorithm and implementation choices by building
it up step by step in Python.

Comments in the code are also reworked/added, with references to the long explanation.
2021-03-08 09:56:07 -08:00
Peter Dettman
8e415acba2 Add safegcd based modular inverse modules
Refactored by: Pieter Wuille <pieter@wuille.net>
2021-03-08 09:56:07 -08:00