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feat(ivc): impl cyclefold::sfc verify protogalaxy #397

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@cyphersnake cyphersnake commented Nov 29, 2024

Motvation
As part of the sfc implementation (#369), we call protogalaxy::verify_chip for its own trace, among other things

Overview
Since ivc::protogalaxy & ivc::cyclefold are independent types, we have structures that are independent of each other, yet similar one to one. We need to cast them to an equivalent form (BigUintPoint)

@cyphersnake cyphersnake self-assigned this Nov 29, 2024
@cyphersnake cyphersnake marked this pull request as ready for review December 2, 2024 16:30
**Motvation**
As part of the sfc implementation (#369), we call `protogalaxy::verify_chip` for its own trace, among other things

**Overview**
Since ivc::protogalaxy & ivc::cyclefold are independent types, we have
structures that are independent of each other, yet similar one to one.
We need to cast them to an equivalent form (`BigUintPoint`)

- [ ] WIP: W_commitment to BigUintPoint in both structure
**Motivation**
During the implementation of #369, the types for protogalaxy & cyclefold differed in form but not in substance

**Overview**
Simple refactoring with removing identical structures and using in ivc::cyclefold types from ivc::protogalaxy
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