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use ark_ec::AffineRepr;
use ark_std::ops::Add;
use std::marker::PhantomData;
use crate::pedersen::Commitment;
use crate::r1cs::*;
use crate::transcript::Transcript;
use crate::utils::*;
// Phi: φ in the paper (later 𝖴), a folded instance
pub struct Phi<C: AffineRepr> {
cmE: Commitment<C>,
u: C::ScalarField,
cmW: Commitment<C>,
x: Vec<C::ScalarField>,
}
// FWit: Folded Witness
pub struct FWit<C: AffineRepr> {
E: Vec<C::ScalarField>,
rE: C::ScalarField,
W: Vec<C::ScalarField>,
rW: C::ScalarField,
}
pub struct NIFS<C: AffineRepr> {
_phantom: PhantomData<C>,
}
impl<C: AffineRepr> NIFS<C> {
pub fn fold_witness(
r: C::ScalarField,
fw1: FWit<C>,
fw2: FWit<C>,
T: Vec<C::ScalarField>,
) -> FWit<C> {
let r2 = r * r;
let E: Vec<C::ScalarField> = vec_add(
// TODO this syntax will be simplified with future operators impl
vec_add(fw1.E, vector_elem_product(&T, &r)),
vector_elem_product(&fw2.E, &r2),
);
let rE = fw1.rE + r * fw2.rE;
let W = vec_add(fw1.W, vector_elem_product(&fw2.W, &r));
let rW = fw1.rW + r * fw2.rW;
FWit::<C> {
E: E.into(),
rE,
W: W.into(),
rW,
}
}
pub fn fold_instance(
r: C::ScalarField,
phi1: Phi<C>,
phi2: Phi<C>,
cmT: Commitment<C>,
) -> Phi<C> {
let r2 = r * r;
let cmE = phi1.cmE.cm + cmT.cm.mul(r) + phi2.cmE.cm.mul(r2);
let u = phi1.u + r * phi2.u;
let cmW = phi1.cmW.cm + phi2.cmW.cm.mul(r);
let x = vec_add(phi1.x, vector_elem_product(&phi2.x, &r));
Phi::<C> {
cmE: Commitment::<C> {
cm: cmE.into(),
r: phi1.cmE.r,
},
u,
cmW: Commitment::<C> {
cm: cmW.into(),
r: phi1.cmW.r,
},
x,
}
}
}