* first version of the sqrt PST without the MIPP

* snarkpack integration

* snarkpack integration

* adding mipp as submodule directly

* snarkpack integration

* finalizing

* snarkpack integration

* update mipp with latestest optimisations and add preliminary
documentation

* improve codebase documentation

* remove unused imports and apply cargo fix changes

* passing v0.4

* adding gh action

* correct workflow item

* correct working dir and msrv

* remove unnecessary stuff

* wip

* wip

* remove circuit in fq as it's not needed now

* done for tonight

* wip

* wip

* sip

* prallelise commitment and groth16 verification

* finalise comments for mipp

* wip

* finalise comments

* wip

* compiling but test failing

* putting back non random blinds

* using absorb when we can

* absorbing scalar

* with bls12-381

* stuff

* trying to bring ark-blst to testudo

* correcting random implementation

* with square in place

* works with blst

* works with blst

* fix: don't require nightly Rust

With removing the `test` feature, it can also be built with a stable
Rust release and don't require a nightly Rust version.

* using ark-blst main branch

* started cleanup and added testudo benchmark

* add testudo snark and nizk in separate files

* rename functions that perform setups and add comments

* prototyping

* explain testudo-nizk

* add support for odd case in sqrt_pst

* add missing constraints and correct proof size for benchmarks

* add support for odd case in sqrt_pst

* fix typo in comment

* Documentation #31

* fix typo in comment

* Fix Cargo.toml and add benchmark for sqrt pst (#34)

* add benchmark for sqrt pst

* fix typo in comment

* add README

* comment from readme not executing

---------

Co-authored-by: Mara Mihali <maramihali@google.com>
Co-authored-by: Mara Mihali <mihalimara22@gmail.com>
Co-authored-by: Volker Mische <volker.mische@gmail.com>

* bump version

* update readme

* add items to transcript

* add additional items to transcript

* fix benches

* cargo fmt

* remove asserts; return result objects

* bump version

* clippy

* This commit makes adding an arbitrary number of variables and inputs possible and removes the
  implementation leaking to the interface for

  num_inps + 1 <= num_vars, num_vars: a power of 2, num_cons: a power of 2, but not 1.

  1. When creating a new R1CS Instance throught the public interface,
     it is required # constraints and # of vars be a power of 2. I remove
     that requirement by padding with dummy constraints and vars until the nearest
     power of 2.
  2. The sumcheck protocol in src/sumcheck.rs does not work for 1 constraint, even
     though 1 is a power of 2. I have to pad to a minimum of two constraints.
  3. Added a test in src/r1csproof.rs called test_padded_constraints.

* Move test to src/lib.rs

* Remove padding metadata

* remove unused use

* Simplify padding to power of 2

* run cargo fmt

* Fix indexing bug

* Rayon is optional, depending on 'multicore' feature

* Update rust toolchain

* cargo fmt

* cleaner to track num_vars_padded and num_cons_padded

* cleanup

* further cleanup

* Cleanup & comments

* small fixes

* adjust code for padding constraints

* fix a bug with pad call

* add comment about num_nz_entries

* extend padding to NIZK methods

extend padding to NIZK methods

Co-authored-by: Lef Ioannidis <elefthei@seas.upenn.edu>
Co-authored-by: Srinath Setty <srinath@microsoft.com>