Hamish Ivey-Law 310493c293
Faster extension field multiplication (#500)
* Initial implementation of quintic extensions.

* Update to/from_biguint() methods.

* Draft of fast multiplication on quintic extensions over 64-bit base.

* cargo fmt

* Typo.

* Document functions (a bit).

* Refactor reduction step.

* Change multiplication call so that LLVM generates better assembly.

* Use one main accumulator instead of two minor ones; faster reduce.

* Use one main accumulator in square too; clean up redundant code.

* Call faster routines from Mul and Square impls.

* Fix reduction function.

* Fix square calculation.

* Slightly faster reduction.

* Clean up names and types.

* cargo fmt

* Move extension field mul/sqr specialisations to their own file.

* Rename functions to have unique prefix.

* Add faster quadratic multiplication/squaring.

* Faster quartic multiplication and squaring.

* cargo fmt

* clippy

* Alternative reduce160 function.

* Typo.

* Remove alternative reduction function.

* Remove delayed reduction implementation of squaring.

* Enforce assumptions about extension generators.

* Make the accumulation variable a u32 instead of u64.

* Add test to trigger carry branch in reduce160.

* cargo fmt

* Some documentation.

* Clippy; improved comments.

* cargo fmt

* Remove redundant Square specialisations.

* Fix reduce*() visibility.

* Faster reduce160 from Jakub.

* Change mul-by-const functions to operate on 160 bits instead of 128.

* Move code for extensions of GoldilocksField to its own file.
2022-03-04 09:34:31 +11:00
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