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feat: direct multivariate polynomial evaluation in non-native #1299

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@ivokub ivokub commented Oct 16, 2024

Description

This PR adds direct multivariate polynomial evaluation using non-native arithmetic. It can be used to perform direct extension computation, used in pairing computation (BW6, BN254, BLS12-377). Also have included the direct extension evaluations for BW6. For other curves not yet as we're working with extension towers.

NB! Draft PR

Fixes # (issue)

Type of change

  • Bug fix (non-breaking change which fixes an issue)
  • New feature (non-breaking change which adds functionality)
  • Breaking change (fix or feature that would cause existing functionality to not work as expected)
  • This change requires a documentation update

How has this been tested?

  • Test A
  • Test B

How has this been benchmarked?

  • Benchmark A, on Macbook pro M1, 32GB RAM
  • Benchmark B, on x86 Intel xxx, 16GB RAM

Checklist:

  • I have performed a self-review of my code
  • I have commented my code, particularly in hard-to-understand areas
  • I have made corresponding changes to the documentation
  • I have added tests that prove my fix is effective or that my feature works
  • I did not modify files generated from templates
  • golangci-lint does not output errors locally
  • New and existing unit tests pass locally with my changes
  • Any dependent changes have been merged and published in downstream modules

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