Question regarding the comparison protocol implementation and configuration in Shamir scheme

[JUNSHIMUYA]

Hello, I have a question about Shamir-based comparison protocol.
I implemented a comparison test using num0 < num1 under the Shamir secret sharing scheme in MP-SPDZ (./compile.py test_cmp.mpc and Scripts/shamir.sh test_cmp). Could you clarify which comparison protocol is executed under the hood for secret-shared integers (sint) in the Shamir scheme? Specifically, does it employ a constant-round or a logarithmic-round protocol? Furthermore, how can I configure MP-SPDZ to switch between comparison protocols with different round complexities?

[mkskeller]

The relevant paper is https://www.researchgate.net/publication/225092133, as indicated by compilation using --papers. Said option also mentions usage of the logarithmic-round option. You can switch to constant-round using --comparison=plain.