2020-12-01 01:11:47 -08:00
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use std::iter;
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2020-11-30 22:53:20 -08:00
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2020-12-03 17:18:28 -08:00
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use super::super::circuit::{Any, Column};
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2020-12-01 01:11:47 -08:00
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use super::{Argument, Proof};
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use crate::{
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arithmetic::CurveAffine,
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plonk::{ChallengeBeta, ChallengeGamma, ChallengeTheta, ChallengeX, Error, VerifyingKey},
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poly::{multiopen::VerifierQuery, Rotation},
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transcript::{Hasher, Transcript},
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};
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use ff::Field;
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impl<C: CurveAffine> Proof<C> {
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pub(in crate::plonk) fn absorb_permuted_commitments<
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2020-12-01 01:11:47 -08:00
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HBase: Hasher<C::Base>,
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HScalar: Hasher<C::Scalar>,
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>(
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&self,
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transcript: &mut Transcript<C, HBase, HScalar>,
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) -> Result<(), Error> {
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transcript
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.absorb_point(&self.permuted_input_commitment)
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.map_err(|_| Error::TranscriptError)?;
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transcript
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.absorb_point(&self.permuted_table_commitment)
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2020-12-02 20:39:44 -08:00
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.map_err(|_| Error::TranscriptError)
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2020-12-01 01:11:47 -08:00
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}
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2020-12-03 17:18:28 -08:00
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pub(in crate::plonk) fn absorb_product_commitment<
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HBase: Hasher<C::Base>,
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HScalar: Hasher<C::Scalar>,
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>(
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2020-12-01 01:11:47 -08:00
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&self,
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transcript: &mut Transcript<C, HBase, HScalar>,
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) -> Result<(), Error> {
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transcript
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.absorb_point(&self.product_commitment)
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.map_err(|_| Error::TranscriptError)
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2020-12-01 01:11:47 -08:00
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}
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pub(in crate::plonk) fn expressions<'a>(
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&'a self,
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vk: &'a VerifyingKey<C>,
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l_0: C::Scalar,
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argument: &'a Argument,
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theta: ChallengeTheta<C::Scalar>,
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beta: ChallengeBeta<C::Scalar>,
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gamma: ChallengeGamma<C::Scalar>,
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advice_evals: &[C::Scalar],
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fixed_evals: &[C::Scalar],
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aux_evals: &[C::Scalar],
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) -> impl Iterator<Item = C::Scalar> + 'a {
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let product_expression = || {
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// z'(X) (a'(X) + \beta) (s'(X) + \gamma)
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// - z'(\omega^{-1} X) (\theta^{m-1} a_0(X) + ... + a_{m-1}(X) + \beta) (\theta^{m-1} s_0(X) + ... + s_{m-1}(X) + \gamma)
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let left = self.product_eval
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* &(self.permuted_input_eval + &*beta)
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* &(self.permuted_table_eval + &*gamma);
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2020-12-03 17:18:28 -08:00
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let compress_columns = |columns: &[Column<Any>]| {
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columns
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.iter()
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.map(|column| {
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let index = vk.cs.get_any_query_index(*column, 0);
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match column.column_type() {
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Any::Advice => advice_evals[index],
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Any::Fixed => fixed_evals[index],
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Any::Aux => aux_evals[index],
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}
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})
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.fold(C::Scalar::zero(), |acc, eval| acc * &*theta + &eval)
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};
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let right = self.product_inv_eval
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* &(compress_columns(&argument.input_columns) + &*beta)
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* &(compress_columns(&argument.table_columns) + &*gamma);
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left - &right
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};
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std::iter::empty()
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.chain(
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// l_0(X) * (1 - z'(X)) = 0
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Some(l_0 * &(C::Scalar::one() - &self.product_eval)),
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)
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.chain(
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// z'(X) (a'(X) + \beta) (s'(X) + \gamma)
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2020-12-05 14:58:48 -08:00
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// - z'(\omega^{-1} X) (\theta^{m-1} a_0(X) + ... + a_{m-1}(X) + \beta) (\theta^{m-1} s_0(X) + ... + s_{m-1}(X) + \gamma)
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2020-12-01 01:11:47 -08:00
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Some(product_expression()),
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)
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.chain(Some(
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2020-12-02 20:39:44 -08:00
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// l_0(X) * (a'(X) - s'(X)) = 0
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l_0 * &(self.permuted_input_eval - &self.permuted_table_eval),
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))
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.chain(Some(
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2020-12-02 20:39:44 -08:00
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// (a′(X)−s′(X))⋅(a′(X)−a′(\omega{-1} X)) = 0
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(self.permuted_input_eval - &self.permuted_table_eval)
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* &(self.permuted_input_eval - &self.permuted_input_inv_eval),
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))
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}
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2020-12-03 17:18:28 -08:00
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pub(in crate::plonk) fn evals(&self) -> impl Iterator<Item = &C::Scalar> {
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iter::empty()
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.chain(Some(&self.product_eval))
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.chain(Some(&self.product_inv_eval))
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.chain(Some(&self.permuted_input_eval))
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.chain(Some(&self.permuted_input_inv_eval))
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.chain(Some(&self.permuted_table_eval))
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}
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pub(in crate::plonk) fn queries<'a>(
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&'a self,
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vk: &'a VerifyingKey<C>,
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x: ChallengeX<C::Scalar>,
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) -> impl Iterator<Item = VerifierQuery<'a, C>> + Clone {
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let x_inv = vk.domain.rotate_omega(*x, Rotation(-1));
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iter::empty()
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// Open lookup product commitments at x
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.chain(Some(VerifierQuery {
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point: *x,
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commitment: &self.product_commitment,
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eval: self.product_eval,
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}))
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// Open lookup input commitments at x
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.chain(Some(VerifierQuery {
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point: *x,
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commitment: &self.permuted_input_commitment,
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eval: self.permuted_input_eval,
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}))
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// Open lookup table commitments at x
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.chain(Some(VerifierQuery {
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point: *x,
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commitment: &self.permuted_table_commitment,
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eval: self.permuted_table_eval,
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}))
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// Open lookup input commitments at \omega^{-1} x
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.chain(Some(VerifierQuery {
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point: x_inv,
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commitment: &self.permuted_input_commitment,
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eval: self.permuted_input_inv_eval,
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}))
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// Open lookup product commitments at \omega^{-1} x
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.chain(Some(VerifierQuery {
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point: x_inv,
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commitment: &self.product_commitment,
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eval: self.product_inv_eval,
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}))
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}
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}
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