Source file `polynomial_protocol.ml`

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(*****************************************************************************)
(*                                                                           *)
(* MIT License                                                               *)
(* Copyright (c) 2022 Nomadic Labs <contact@nomadic-labs.com>                *)
(*                                                                           *)
(* Permission is hereby granted, free of charge, to any person obtaining a   *)
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(*                                                                           *)
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(*                                                                           *)
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(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL   *)
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(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING   *)
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(* DEALINGS IN THE SOFTWARE.                                                 *)
(*                                                                           *)
(*****************************************************************************)

open Kzg.Bls
open Plonk.Identities

module type S = sig
  module PC : Polynomial_commitment.PC_for_distribution_sig

  include Plonk.Polynomial_protocol.S with module PC := PC

  (** [compute_t ~n ~alpha evaluations] returns a polynomial T splitted in chunks,
     where [T(X) = (sum_i alpha^i evaluations[i]) / (X^n - 1)] and the returned
     chunks [{ 'T_0' -> T0; 'T_1' -> T1; 'T_2' -> T2 }] are such that
     [T = T0 + X^n T1 + X^{2n} T2]. *)
  val compute_t :
    n:int ->
    alpha:Scalar.t ->
    nb_of_t_chunks:int ->
    Evaluations.t Kzg.SMap.t ->
    Evaluations.polynomial Kzg.SMap.t
end

module type Super = sig
  module PC : Kzg_pack.Super_PC_sig

  include Aggregation.Polynomial_protocol.S with module PC := PC

  (** [compute_t ~n ~alpha evaluations] returns a polynomial T splitted in chunks,
     where [T(X) = (sum_i alpha^i evaluations[i]) / (X^n - 1)] and the returned
     chunks [{ 'T_0' -> T0; 'T_1' -> T1; 'T_2' -> T2 }] are such that
     [T = T0 + X^n T1 + X^{2n} T2]. *)
  val compute_t :
    n:int ->
    alpha:Scalar.t ->
    nb_of_t_chunks:int ->
    Evaluations.t Kzg.SMap.t ->
    Evaluations.polynomial Kzg.SMap.t
end

module Make (PC : Polynomial_commitment.PC_for_distribution_sig) :
  S with module PC = PC = struct
  module PP = Plonk.Polynomial_protocol.Make_impl (PC)
  module PC = PC

  let compute_t = PP.compute_t

  include (PP : Plonk.Polynomial_protocol.S with module PC := PC)
end

module MakeSuper
    (PC : Kzg_pack.Super_PC_sig)
    (Answers_commitment : Plonk.Input_commitment.S) :
  Super with module PC = PC with module Answers_commitment = Answers_commitment =
struct
  module PP =
    Aggregation.Polynomial_protocol.Make_impl (PC) (Answers_commitment)
  module PC = PC
  module Answers_commitment = Answers_commitment

  include (
    PP :
      module type of PP
        with module PC := PC
        with module Answers_commitment := Answers_commitment)
end