Struct ToyPolyCommit 

pub struct ToyPolyCommit {
    pub tau: u64,
    pub q: u64,
}

Polynomial commitment scheme toy (Kate-style, educational model).

In real KZG commitments, the commitment is an elliptic curve point. Here we use a simplified polynomial evaluation model.

WARNING

This is a structural illustration only. It provides NO cryptographic security.

Fields

tau: u64

Evaluation point (the “trusted setup” scalar τ)

q: u64

Field modulus

Implementations

impl ToyPolyCommit

pub fn new(tau: u64, q: u64) -> Self

Create a toy polynomial commitment context.

pub fn commit(&self, coeffs: &[u64]) -> u64

Commit to a polynomial given as coefficient vector (lowest degree first).

Commitment = p(τ) mod q (educational stand-in for g^{p(τ)} on an EC).

pub fn evaluate(&self, coeffs: &[u64], z: u64) -> u64

Evaluate the polynomial at a given point z.

pub fn verify_opening( &self, commitment: u64, z: u64, v: u64, coeffs: &[u64], ) -> bool

Verify an opening: checks that the committed value matches the claimed evaluation p(z) = v by comparing with stored commitment.

In real KZG this requires a pairing check.