Commitment Scheme evaluation per size

src/core/backend/cpu/quotients.rs

@@ -1,45 +1,61 @@
 use num_traits::Zero;
 
 use super::CPUBackend;
-use crate::core::air::accumulation::ColumnAccumulator;
-use crate::core::backend::Col;
+use crate::core::circle::CirclePoint;
 use crate::core::commitment_scheme::quotients::{BatchedColumnOpenings, QuotientOps};
-use crate::core::constraints::pair_vanishing;
+use crate::core::constraints::{complex_conjugate_line, pair_vanishing};
 use crate::core::fields::m31::BaseField;
 use crate::core::fields::qm31::SecureField;
+use crate::core::fields::secure_column::SecureColumn;
 use crate::core::fields::{ComplexConjugate, FieldExpOps};
-use crate::core::poly::circle::CircleDomain;
+use crate::core::poly::circle::{CircleDomain, CircleEvaluation};
+use crate::core::poly::BitReversedOrder;
 use crate::core::utils::bit_reverse_index;
 
 impl QuotientOps for CPUBackend {
     fn accumulate_quotients(
         domain: CircleDomain,
-        mut accum: ColumnAccumulator<'_, Self>,
-        columns: &[Col<Self, BaseField>],
+        columns: &[&CircleEvaluation<Self, BaseField, BitReversedOrder>],
         random_coeff: SecureField,
         openings: &[BatchedColumnOpenings],
-    ) {
+    ) -> SecureColumn<Self> {
+        let mut res = SecureColumn::zeros(domain.size());
         for row in 0..domain.size() {
             let domain_point = domain.at(bit_reverse_index(row, domain.log_size()));
-            let mut row_accumlator = SecureField::zero();
-            for opening in openings {
-                let mut numerator = SecureField::zero();
-                for (column_index, open_value) in &opening.column_indices_and_values {
-                    let column = &columns[*column_index];
-                    let value = column[row];
-                    numerator = numerator * random_coeff + (value - *open_value);
-                }
-
-                let denominator = pair_vanishing(
-                    opening.point,
-                    opening.point.complex_conjugate(),
-                    domain_point.into_ef(),
-                );
+            let row_accumlator =
+                accumulate_row_quotients(openings, columns, row, random_coeff, domain_point);
+            res.set(row, row_accumlator);
+        }
+        res
+    }
+}
 
-                row_accumlator *= random_coeff.pow(opening.column_indices_and_values.len() as u128)
-                    + numerator / denominator;
-            }
-            accum.accumulate(row, row_accumlator);
+pub fn accumulate_row_quotients(
+    openings: &[BatchedColumnOpenings],
+    columns: &[&CircleEvaluation<CPUBackend, BaseField, BitReversedOrder>],
+    row: usize,
+    random_coeff: SecureField,
+    domain_point: CirclePoint<BaseField>,
+) -> SecureField {
+    let mut row_accumlator = SecureField::zero();
+    for opening in openings {
+        let mut numerator = SecureField::zero();
+        for (column_index, open_value) in &opening.column_indices_and_values {
+            let column = &columns[*column_index];
+            let value = column[row];
+            let linear_term = complex_conjugate_line(opening.point, *open_value, domain_point);
+            numerator = numerator * random_coeff + value - linear_term;
         }
+
+        let denominator = pair_vanishing(
+            opening.point,
+            opening.point.complex_conjugate(),
+            domain_point.into_ef(),
+        );
+
+        row_accumlator = row_accumlator
+            * random_coeff.pow(opening.column_indices_and_values.len() as u128)
+            + numerator / denominator;
     }
+    row_accumlator
 }

src/core/commitment_scheme/prover.rs

@@ -5,7 +5,6 @@
 //! the unique decoding regime. This is enough for a STARK proof though, where we onyl want to imply
 //! the existence of such polynomials, and re ok with having a small decoding list.
 
-use std::iter::zip;
 use std::ops::Deref;
 
 use itertools::Itertools;
@@ -17,19 +16,20 @@ use super::super::circle::CirclePoint;
 use super::super::fields::m31::BaseField;
 use super::super::fields::qm31::SecureField;
 use super::super::fri::{FriConfig, FriProof, FriProver};
-use super::super::oods::get_pair_oods_quotient;
 use super::super::poly::circle::CanonicCoset;
 use super::super::poly::BitReversedOrder;
 use super::super::proof_of_work::{ProofOfWork, ProofOfWorkProof};
 use super::super::prover::{
     LOG_BLOWUP_FACTOR, LOG_LAST_LAYER_DEGREE_BOUND, N_QUERIES, PROOF_OF_WORK_BITS,
 };
 use super::super::ColumnVec;
+use super::quotients::{compute_fri_quotients, PointOpening};
 use super::utils::TreeVec;
 use crate::commitment_scheme::blake2_hash::{Blake2sHash, Blake2sHasher};
 use crate::commitment_scheme::merkle_decommitment::MerkleDecommitment;
 use crate::commitment_scheme::merkle_tree::MerkleTree;
 use crate::core::channel::Channel;
+use crate::core::poly::circle::SecureEvaluation;
 
 type MerkleHasher = Blake2sHasher;
 type ProofChannel = Blake2sChannel;
@@ -75,39 +75,39 @@ impl CommitmentSchemeProver {
         channel: &mut ProofChannel,
     ) -> CommitmentSchemeProof {
         // Evaluate polynomials on open points.
-        let proved_values =
-            self.polynomials()
-                .zip_cols(&prove_points)
-                .map_cols(|(poly, points)| {
-                    points
-                        .iter()
-                        .map(|point| poly.eval_at_point(*point))
-                        .collect_vec()
-                });
-        channel.mix_felts(&proved_values.clone().flatten_cols());
-
-        // Compute oods quotients for boundary constraints on prove_points.
-        let quotients = self
-            .evaluations()
-            .zip_cols(&proved_values)
+        let openings = self
+            .polynomials()
             .zip_cols(&prove_points)
-            .map_cols(|((evaluation, values), points)| {
-                zip(points, values)
-                    .map(|(&point, &value)| {
-                        get_pair_oods_quotient(point, value, evaluation).bit_reverse()
+            .map_cols(|(poly, points)| {
+                points
+                    .iter()
+                    .map(|&point| PointOpening {
+                        point,
+                        value: poly.eval_at_point(point),
                     })
                     .collect_vec()
             });
+        let proved_values = openings
+            .as_cols_ref()
+            .map_cols(|x| x.iter().map(|o| o.value).collect());
+        channel.mix_felts(&proved_values.clone().flatten_cols());
+
+        // Compute oods quotients for boundary constraints on prove_points.
+        let columns = self.evaluations().flatten();
+        let quotients =
+            compute_fri_quotients(&columns[..], &openings.flatten(), channel.draw_felt());
+
+        // TODO(spapini): Conversion to CircleEvaluation can be removed when FRI supports
+        // SecureColumn.
+        let quotients = quotients
+            .into_iter()
+            .map(SecureEvaluation::to_cpu)
+            .collect_vec();
 
         // Run FRI commitment phase on the oods quotients.
         let fri_config = FriConfig::new(LOG_LAST_LAYER_DEGREE_BOUND, LOG_BLOWUP_FACTOR, N_QUERIES);
-        // TODO(spapini): Remove rev() when we start accumulating by size.
-        //   This is only done because fri demands descending sizes.
-        let fri_prover = FriProver::<CPUBackend, MerkleHasher>::commit(
-            channel,
-            fri_config,
-            &quotients.flatten_cols_rev(),
-        );
+        let fri_prover =
+            FriProver::<CPUBackend, MerkleHasher>::commit(channel, fri_config, &quotients);
 
         // Proof of work.
         let proof_of_work = ProofOfWork::new(PROOF_OF_WORK_BITS).prove(channel);

src/core/commitment_scheme/quotients.rs

@@ -1,21 +1,184 @@
-use crate::core::air::accumulation::ColumnAccumulator;
-use crate::core::backend::{Backend, Col};
+use std::cmp::Reverse;
+use std::collections::BTreeMap;
+
+use itertools::{izip, multiunzip, Itertools};
+
+use crate::core::backend::cpu::quotients::accumulate_row_quotients;
+use crate::core::backend::Backend;
 use crate::core::circle::CirclePoint;
 use crate::core::fields::m31::BaseField;
 use crate::core::fields::qm31::SecureField;
-use crate::core::poly::circle::CircleDomain;
+use crate::core::fields::secure_column::SecureColumn;
+use crate::core::fri::SparseCircleEvaluation;
+use crate::core::poly::circle::{CanonicCoset, CircleDomain, CircleEvaluation, SecureEvaluation};
+use crate::core::poly::BitReversedOrder;
+use crate::core::prover::VerificationError;
+use crate::core::queries::SparseSubCircleDomain;
+use crate::core::utils::bit_reverse_index;
 
 pub trait QuotientOps: Backend {
     fn accumulate_quotients(
         domain: CircleDomain,
-        accum: ColumnAccumulator<'_, Self>,
-        columns: &[Col<Self, BaseField>],
+        columns: &[&CircleEvaluation<Self, BaseField, BitReversedOrder>],
         random_coeff: SecureField,
         openings: &[BatchedColumnOpenings],
-    );
+    ) -> SecureColumn<Self>;
 }
 
 pub struct BatchedColumnOpenings {
     pub point: CirclePoint<SecureField>,
     pub column_indices_and_values: Vec<(usize, SecureField)>,
 }
+impl BatchedColumnOpenings {
+    /// Groups column opening by opening point.
+    /// # Arguments
+    /// opening: For each column, a vector of openings.
+    pub fn new(openings: &[&Vec<PointOpening>]) -> Vec<Self> {
+        openings
+            .iter()
+            .enumerate()
+            .flat_map(|(column_index, openings)| {
+                openings.iter().map(move |opening| (column_index, opening))
+            })
+            .group_by(|(_, opening)| opening.point)
+            .into_iter()
+            .map(|(point, column_openings)| BatchedColumnOpenings {
+                point,
+                column_indices_and_values: column_openings
+                    .map(|(column_index, opening)| (column_index, opening.value))
+                    .collect(),
+            })
+            .collect()
+    }
+}
+
+pub struct PointOpening {
+    pub point: CirclePoint<SecureField>,
+    pub value: SecureField,
+}
+
+pub fn compute_fri_quotients<B: QuotientOps>(
+    columns: &[&CircleEvaluation<B, BaseField, BitReversedOrder>],
+    openings: &[Vec<PointOpening>],
+    random_coeff: SecureField,
+) -> Vec<SecureEvaluation<B>> {
+    izip!(columns, openings)
+        .group_by(|(c, _)| c.domain.log_size())
+        .into_iter()
+        .sorted_by_key(|(log_size, _)| Reverse(*log_size))
+        .map(|(log_size, tuples)| {
+            let (columns, openings): (Vec<_>, Vec<_>) = multiunzip(tuples);
+            let domain = CanonicCoset::new(log_size).circle_domain();
+            // TODO: slice.
+            let batched_openings = BatchedColumnOpenings::new(&openings);
+            let values = B::accumulate_quotients(domain, &columns, random_coeff, &batched_openings);
+            SecureEvaluation { domain, values }
+        })
+        .collect()
+}
+
+pub fn fri_answers(
+    column_log_sizes: Vec<u32>,
+    openings: &[Vec<PointOpening>],
+    random_coeff: SecureField,
+    query_domain_per_log_size: BTreeMap<u32, SparseSubCircleDomain>,
+    queried_values_per_column: &[Vec<BaseField>],
+) -> Result<Vec<SparseCircleEvaluation<SecureField>>, VerificationError> {
+    izip!(column_log_sizes, openings, queried_values_per_column)
+        .group_by(|(c, ..)| *c)
+        .into_iter()
+        .sorted_by_key(|(log_size, _)| Reverse(*log_size))
+        .map(|(log_size, tuples)| {
+            let (_, openings, queried_valued_per_column): (Vec<_>, Vec<_>, Vec<_>) =
+                multiunzip(tuples);
+            fri_answers_for_log_size(
+                log_size,
+                &openings,
+                random_coeff,
+                &query_domain_per_log_size[&log_size],
+                &queried_valued_per_column,
+            )
+        })
+        .collect()
+}
+
+pub fn fri_answers_for_log_size(
+    log_size: u32,
+    openings: &[&Vec<PointOpening>],
+    random_coeff: SecureField,
+    query_domain: &SparseSubCircleDomain,
+    queried_values_per_column: &[&Vec<BaseField>],
+) -> Result<SparseCircleEvaluation<SecureField>, VerificationError> {
+    let commitment_domain = CanonicCoset::new(log_size).circle_domain();
+    let batched_openings = BatchedColumnOpenings::new(openings);
+    for x in queried_values_per_column {
+        if x.len() != query_domain.flatten().len() {
+            return Err(VerificationError::InvalidStructure);
+        }
+    }
+    let mut queried_values_per_column = queried_values_per_column
+        .iter()
+        .map(|q| q.iter())
+        .collect_vec();
+
+    let res = SparseCircleEvaluation::new(
+        query_domain
+            .iter()
+            .map(|subdomain| {
+                let domain = subdomain.to_circle_domain(&commitment_domain);
+                let column_evals = queried_values_per_column
+                    .iter_mut()
+                    .map(|q| {
+                        CircleEvaluation::new(domain, q.take(domain.size()).copied().collect_vec())
+                    })
+                    .collect_vec();
+                // TODO(spapini): bit reverse iterator.
+                let values = (0..domain.size())
+                    .map(|row| {
+                        let domain_point = domain.at(bit_reverse_index(row, log_size));
+                        accumulate_row_quotients(
+                            &batched_openings,
+                            &column_evals.iter().collect_vec(),
+                            row,
+                            random_coeff,
+                            domain_point,
+                        )
+                    })
+                    .collect();
+                CircleEvaluation::new(domain, values)
+            })
+            .collect(),
+    );
+    if !queried_values_per_column.iter().all(|x| x.is_empty()) {
+        return Err(VerificationError::InvalidStructure);
+    }
+    Ok(res)
+}
+
+#[cfg(test)]
+mod tests {
+    use crate::core::backend::cpu::{CPUCircleEvaluation, CPUCirclePoly};
+    use crate::core::circle::SECURE_FIELD_CIRCLE_GEN;
+    use crate::core::commitment_scheme::quotients::{compute_fri_quotients, PointOpening};
+    use crate::core::poly::circle::CanonicCoset;
+    use crate::{m31, qm31};
+
+    #[test]
+    fn test_quotients_are_low_degree() {
+        const LOG_SIZE: u32 = 7;
+        let polynomial = CPUCirclePoly::new((0..1 << LOG_SIZE).map(|i| m31!(i)).collect());
+        let eval_domain = CanonicCoset::new(LOG_SIZE + 1).circle_domain();
+        let eval = polynomial.evaluate(eval_domain);
+        let point = SECURE_FIELD_CIRCLE_GEN;
+        let value = polynomial.eval_at_point(point);
+        let coeff = qm31!(1, 2, 3, 4);
+        let quot_eval =
+            compute_fri_quotients(&[&eval], &[vec![PointOpening { point, value }]], coeff)
+                .pop()
+                .unwrap();
+        let quot_poly_base_field =
+            CPUCircleEvaluation::new(eval_domain, quot_eval.values.columns[0].clone())
+                .interpolate();
+        assert!(quot_poly_base_field.is_in_fft_space(LOG_SIZE));
+    }
+}