Multithreaded advice commitment and benchmark

[diazeddy]

Description

It completes a multithreaded implementation for computing and committing advice polynomials during proof generation in Hope of optimizing the process by using multiple CPU cores when they are available.

Key Features:

• Implemented multithreaded advice commitment: Modified the existing Halo2 codebase to compute advice commitments in parallel on multithreaded CPUs.
• Added benchmarking for advice commitment: Introduced indicative benchmark tests using the Criterion crate to compare the performance improvements of the multithreaded implementation against the original single-threaded implementation.

Issue Link

[link issue here]

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
• [ ] Refactor (no updates to logic)

Contents

• [item]

Rationale

[design decisions and extended information]

How Has This Been Tested?

[explanation]

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Single responsibility

Is RECOMMENDED to create single responsibility commits, but not mandatory.

Anyway, you MUST enumerate the changes in a unitary way, e.g.

This PR contains:
- Cleanup of xxxx, yyyy
- Changed xxxx to yyyy in order to bla bla
- Added xxxx function to ...
- Refactored ....

Design choices

RECOMMENDED to:

• What types of design choices did you face?
• What decisions you have made?
• Any valuable information that could help reviewers to think critically

[ed255]

Hi @diazeddy

I'm quite confused about this PR. What does this PR have to do with this repository? Why do you add a benchmark for commitments here?

[ed255]

Closing this PR because it doesn't make any sense.