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| 1 | +//! Jagged PCS Commit Adaptor |
| 2 | +//! |
| 3 | +//! This module implements the commit protocol for the Jagged PCS as described in |
| 4 | +//! the SP1 Jagged PCS paper (<https://eprint.iacr.org/2025/917.pdf>) and Ceno issues #1272 / #1288. |
| 5 | +//! |
| 6 | +//! ## Overview |
| 7 | +//! |
| 8 | +//! The "Jagged PCS" reduces proof size by packing all trace polynomials from multiple |
| 9 | +//! chips into a single "giga" multilinear polynomial `q'`: |
| 10 | +//! |
| 11 | +//! ```text |
| 12 | +//! q' = bitrev(p_0) || bitrev(p_1) || ... || bitrev(p_N) |
| 13 | +//! ``` |
| 14 | +//! |
| 15 | +//! where each `p_i` is a column polynomial extracted from the input trace matrices, and |
| 16 | +//! `bitrev` is the suffix-to-prefix bit-reversal transformation. |
| 17 | +//! |
| 18 | +//! ## Suffix-to-Prefix Transformation |
| 19 | +//! |
| 20 | +//! The main sumcheck prover outputs evaluations `v_i = p_i(r[(n-s)..n])` — i.e., at the |
| 21 | +//! **suffix** of the random challenge point. To make these evaluations compatible with the |
| 22 | +//! jagged sumcheck (which operates on prefix-aligned polynomials), we apply a bit-reversal |
| 23 | +//! permutation to each polynomial's evaluations: |
| 24 | +//! |
| 25 | +//! ```text |
| 26 | +//! p_i'[j] = p_i[bitrev_s(j)] (for j in 0..2^s) |
| 27 | +//! ``` |
| 28 | +//! |
| 29 | +//! After bit-reversal, `v_i = p_i(r[(n-s)..n]) = p_i'(reverse(r[(n-s)..n]))`. |
| 30 | +//! |
| 31 | +//! ## Cumulative Heights |
| 32 | +//! |
| 33 | +//! The cumulative height sequence `t` tracks the starting position of each polynomial in `q'`: |
| 34 | +//! - `t[0] = 0` |
| 35 | +//! - `t[i+1] = t[i] + h_i` where `h_i = 2^(num_vars of p_i)` is the number of evaluations |
| 36 | +//! |
| 37 | +//! Given a position `b` in `q'`, the verifier can locate the corresponding `(i, r)` pair via: |
| 38 | +//! - `t[i-1] <= b < t[i]` |
| 39 | +//! - `r = b - t[i-1]` |
| 40 | +//! |
| 41 | +//! The cumulative heights allow the verifier to succinctly evaluate the indicator function |
| 42 | +//! `g(z_r, z_b, t[i-1], t[i])` needed for the jagged sumcheck. |
| 43 | +//! |
| 44 | +//! ## Commit Protocol |
| 45 | +//! |
| 46 | +//! 1. For each input matrix `M_k` (with `h_k` rows and `w_k` columns): |
| 47 | +//! a. Extract each column as a polynomial with `h_k` evaluations. |
| 48 | +//! b. Apply bit-reversal to the evaluations. |
| 49 | +//! 2. Concatenate all bit-reversed polynomials: `cat = bitrev(p_0) || bitrev(p_1) || ...` |
| 50 | +//! 3. Compute cumulative heights `t[i]`. |
| 51 | +//! 4. Pad `cat` to the next power of two (required for MLE representation). |
| 52 | +//! 5. Commit to the padded `cat` as a single-column matrix using the inner PCS. |
| 53 | +
|
| 54 | +use std::iter::once; |
| 55 | + |
| 56 | +use crate::{Error, PolynomialCommitmentScheme}; |
| 57 | +use ff_ext::ExtensionField; |
| 58 | +use itertools::Itertools; |
| 59 | +use p3::{ |
| 60 | + matrix::{Matrix, bitrev::BitReversableMatrix}, |
| 61 | + maybe_rayon::prelude::{ |
| 62 | + IndexedParallelIterator, IntoParallelIterator, ParallelIterator, ParallelSliceMut, |
| 63 | + }, |
| 64 | +}; |
| 65 | +use serde::{Deserialize, Serialize}; |
| 66 | +use witness::{InstancePaddingStrategy, RowMajorMatrix}; |
| 67 | + |
| 68 | +/// Commitment to a jagged polynomial `q'`, together with all witness data needed |
| 69 | +/// for opening proofs. |
| 70 | +/// |
| 71 | +/// Generic over the inner PCS `Pcs` so that any `PolynomialCommitmentScheme` can |
| 72 | +/// serve as the underlying commitment engine. |
| 73 | +pub struct JaggedCommitmentWithWitness<E: ExtensionField, Pcs: PolynomialCommitmentScheme<E>> { |
| 74 | + /// Commitment (with witness) to the "giga" polynomial `q'` via `Pcs`. |
| 75 | + pub inner: Pcs::CommitmentWithWitness, |
| 76 | + /// Cumulative height sequence `t`: |
| 77 | + /// - `t[0] = 0` |
| 78 | + /// - `t[i+1] = t[i] + poly_heights[i]` |
| 79 | + /// - Length: `num_polys + 1` |
| 80 | + pub cumulative_heights: Vec<usize>, |
| 81 | + /// Number of evaluations `h_i = 2^(num_vars_i)` for each polynomial `p_i`. |
| 82 | + /// Length: `num_polys`. |
| 83 | + pub poly_heights: Vec<usize>, |
| 84 | +} |
| 85 | + |
| 86 | +/// The pure commitment (without witness data) for a jagged polynomial `q'`. |
| 87 | +/// This is what the verifier receives. |
| 88 | +#[derive(Clone, Serialize, Deserialize)] |
| 89 | +#[serde(bound(serialize = "", deserialize = ""))] |
| 90 | +pub struct JaggedCommitment<E: ExtensionField, Pcs: PolynomialCommitmentScheme<E>> { |
| 91 | + /// Pure commitment to the underlying giga polynomial `q'`. |
| 92 | + pub inner: Pcs::Commitment, |
| 93 | + /// Cumulative height sequence `t` (verifier needs this to evaluate `f(b)`). |
| 94 | + pub cumulative_heights: Vec<usize>, |
| 95 | +} |
| 96 | + |
| 97 | +impl<E: ExtensionField, Pcs: PolynomialCommitmentScheme<E>> JaggedCommitmentWithWitness<E, Pcs> { |
| 98 | + /// Extract the pure commitment (without witness data). |
| 99 | + pub fn to_commitment(&self) -> JaggedCommitment<E, Pcs> { |
| 100 | + JaggedCommitment { |
| 101 | + inner: Pcs::get_pure_commitment(&self.inner), |
| 102 | + cumulative_heights: self.cumulative_heights.clone(), |
| 103 | + } |
| 104 | + } |
| 105 | + |
| 106 | + /// Total number of polynomials packed into `q'`. |
| 107 | + pub fn num_polys(&self) -> usize { |
| 108 | + self.poly_heights.len() |
| 109 | + } |
| 110 | + |
| 111 | + /// Total number of evaluations in the *unpadded* concatenated polynomial |
| 112 | + /// (= `t[num_polys]` = `cumulative_heights.last()`). |
| 113 | + pub fn total_evaluations(&self) -> usize { |
| 114 | + self.cumulative_heights.last().copied().unwrap_or(0) |
| 115 | + } |
| 116 | +} |
| 117 | + |
| 118 | +/// Commit to a sequence of row-major matrices using the Jagged PCS scheme. |
| 119 | +/// |
| 120 | +/// This function implements the commit phase described in Ceno issue #1288: |
| 121 | +/// 1. For each matrix, bit-reverse its rows (suffix-to-prefix transformation). |
| 122 | +/// 2. Transpose the bit-reversed matrix (row-major → column-major), so each |
| 123 | +/// column polynomial occupies a contiguous region in memory. |
| 124 | +/// 3. Concatenate all column polynomials: `q' = col_0 || col_1 || ...` |
| 125 | +/// 4. Compute the cumulative height sequence `t`. |
| 126 | +/// 5. Commit to `q'` as a single-column matrix using `Pcs::batch_commit`. |
| 127 | +/// |
| 128 | +/// # Arguments |
| 129 | +/// * `pp` — Prover parameters for `Pcs`. |
| 130 | +/// * `rmms` — Non-empty sequence of row-major matrices. This function uses each matrix's height exactly as given. |
| 131 | +/// |
| 132 | +/// # Errors |
| 133 | +/// Returns `Error::InvalidPcsParam` if `rmms` is empty or all matrices are empty. |
| 134 | +/// Any error from the inner `Pcs::batch_commit` is propagated as-is. |
| 135 | +pub fn jagged_commit<E: ExtensionField, Pcs: PolynomialCommitmentScheme<E>>( |
| 136 | + pp: &Pcs::ProverParam, |
| 137 | + rmms: Vec<RowMajorMatrix<E::BaseField>>, |
| 138 | +) -> Result<JaggedCommitmentWithWitness<E, Pcs>, Error> { |
| 139 | + if rmms.is_empty() { |
| 140 | + return Err(Error::InvalidPcsParam( |
| 141 | + "jagged_commit: cannot commit to empty sequence of matrices".to_string(), |
| 142 | + )); |
| 143 | + } |
| 144 | + |
| 145 | + // --- Step 1: Compute cumulative heights --- |
| 146 | + let mut poly_heights: Vec<usize> = Vec::new(); |
| 147 | + for rmm in &rmms { |
| 148 | + let num_rows = rmm.height(); |
| 149 | + let num_cols = rmm.width(); |
| 150 | + |
| 151 | + if num_rows == 0 { |
| 152 | + return Err(Error::InvalidPcsParam( |
| 153 | + "jagged_commit: matrix has zero rows".to_string(), |
| 154 | + )); |
| 155 | + } |
| 156 | + if num_cols == 0 { |
| 157 | + return Err(Error::InvalidPcsParam( |
| 158 | + "jagged_commit: matrix has zero columns".to_string(), |
| 159 | + )); |
| 160 | + } |
| 161 | + for _ in 0..num_cols { |
| 162 | + poly_heights.push(num_rows); |
| 163 | + } |
| 164 | + } |
| 165 | + if poly_heights.is_empty() { |
| 166 | + return Err(Error::InvalidPcsParam( |
| 167 | + "jagged_commit: no polynomials found in input matrices".to_string(), |
| 168 | + )); |
| 169 | + } |
| 170 | + // t[0] = 0, t[i+1] = t[i] + poly_heights[i] |
| 171 | + let cumulative_heights = poly_heights |
| 172 | + .iter() |
| 173 | + .chain(once(&0)) |
| 174 | + .scan(0usize, |acc, &h| { |
| 175 | + let current = *acc; |
| 176 | + *acc += h; |
| 177 | + Some(current) |
| 178 | + }) |
| 179 | + .collect::<Vec<usize>>(); |
| 180 | + |
| 181 | + // --- Steps 2 & 3: Bit-reverse rows, transpose, and write to concatenated --- |
| 182 | + let total_size = cumulative_heights.last().copied().unwrap(); |
| 183 | + let mut concatenated: Vec<E::BaseField> = Vec::with_capacity(total_size); |
| 184 | + // Safety: every element in `concatenated[0..total_size]` is fully written |
| 185 | + // by the transpose loop below before it is read. |
| 186 | + unsafe { concatenated.set_len(total_size) }; |
| 187 | + |
| 188 | + // `poly_idx` tracks which poly (column index in cumulative_heights) is the |
| 189 | + // first polynomial of the current matrix. |
| 190 | + let mut poly_idx = 0; |
| 191 | + for rmm in &rmms { |
| 192 | + // Step 2: Bit-reverse the rows (suffix-to-prefix transformation). |
| 193 | + // br.values[i * n_cols + j] = original[bitrev(i)][j] |
| 194 | + let br = rmm.as_view().bit_reverse_rows().to_row_major_matrix(); |
| 195 | + |
| 196 | + let n_cols = br.width(); |
| 197 | + let n_rows = br.height(); |
| 198 | + let n_cells = n_cols * n_rows; |
| 199 | + |
| 200 | + // The start position in `concatenated` for this matrix's block of polynomials. |
| 201 | + let start = cumulative_heights[poly_idx]; |
| 202 | + |
| 203 | + // Step 3: Transpose — write each column j of `br` (= one polynomial) |
| 204 | + // into its corresponding contiguous slice in `concatenated`. |
| 205 | + (0..n_cols) |
| 206 | + .into_par_iter() |
| 207 | + .zip(concatenated[start..start + n_cells].par_chunks_mut(n_rows)) |
| 208 | + .for_each(|(j, chunk)| { |
| 209 | + br.values |
| 210 | + .iter() |
| 211 | + .skip(j) |
| 212 | + .step_by(n_cols) |
| 213 | + .zip_eq(chunk.iter_mut()) |
| 214 | + .for_each(|(v, out)| *out = *v); |
| 215 | + }); |
| 216 | + |
| 217 | + poly_idx += n_cols; |
| 218 | + } |
| 219 | + |
| 220 | + // --- Step 4: Commit via the inner PCS --- |
| 221 | + // q' is committed as a single-column matrix with height = total_size. |
| 222 | + let giga_rmm = RowMajorMatrix::<E::BaseField>::new_by_values( |
| 223 | + concatenated, |
| 224 | + 1, // width = 1 (single polynomial q') |
| 225 | + InstancePaddingStrategy::Default, |
| 226 | + ); |
| 227 | + |
| 228 | + let inner = Pcs::batch_commit(pp, vec![giga_rmm])?; |
| 229 | + |
| 230 | + Ok(JaggedCommitmentWithWitness { |
| 231 | + inner, |
| 232 | + cumulative_heights, |
| 233 | + poly_heights, |
| 234 | + }) |
| 235 | +} |
| 236 | + |
| 237 | +#[cfg(test)] |
| 238 | +mod tests { |
| 239 | + use super::*; |
| 240 | + use crate::{ |
| 241 | + basefold::{Basefold, BasefoldRSParams}, |
| 242 | + test_util::setup_pcs, |
| 243 | + }; |
| 244 | + use ff_ext::GoldilocksExt2; |
| 245 | + use p3::{field::FieldAlgebra, goldilocks::Goldilocks}; |
| 246 | + |
| 247 | + type F = Goldilocks; |
| 248 | + type E = GoldilocksExt2; |
| 249 | + type Pcs = Basefold<E, BasefoldRSParams>; |
| 250 | + |
| 251 | + fn make_rmm(num_rows: usize, num_cols: usize) -> RowMajorMatrix<F> { |
| 252 | + let values: Vec<F> = (0..num_rows * num_cols) |
| 253 | + .map(|i| F::from_canonical_u64(i as u64 + 1)) |
| 254 | + .collect(); |
| 255 | + RowMajorMatrix::<F>::new_by_values(values, num_cols, InstancePaddingStrategy::Default) |
| 256 | + } |
| 257 | + |
| 258 | + #[test] |
| 259 | + fn test_cumulative_heights_single_matrix() { |
| 260 | + // 4x2 matrix → 2 polynomials with 4 evaluations each → cumulative = [0, 4, 8] |
| 261 | + let rmm = make_rmm(4, 2); |
| 262 | + let num_rows = rmm.height(); |
| 263 | + let num_cols = rmm.width(); |
| 264 | + let mut poly_heights = Vec::new(); |
| 265 | + for _ in 0..num_cols { |
| 266 | + poly_heights.push(num_rows); |
| 267 | + } |
| 268 | + let mut ch = vec![0usize]; |
| 269 | + for &h in &poly_heights { |
| 270 | + ch.push(ch.last().unwrap() + h); |
| 271 | + } |
| 272 | + assert_eq!(poly_heights, vec![4, 4]); |
| 273 | + assert_eq!(ch, vec![0, 4, 8]); |
| 274 | + } |
| 275 | + |
| 276 | + #[test] |
| 277 | + fn test_cumulative_heights_multiple_matrices() { |
| 278 | + // 4x1 + 8x2 → heights [4, 8, 8] → cumulative [0, 4, 12, 20] |
| 279 | + let m1 = make_rmm(4, 1); |
| 280 | + let m2 = make_rmm(8, 2); |
| 281 | + let mut poly_heights: Vec<usize> = Vec::new(); |
| 282 | + for rmm in &[m1, m2] { |
| 283 | + for _ in 0..rmm.width() { |
| 284 | + poly_heights.push(rmm.height()); |
| 285 | + } |
| 286 | + } |
| 287 | + let mut ch = vec![0usize]; |
| 288 | + for &h in &poly_heights { |
| 289 | + ch.push(ch.last().unwrap() + h); |
| 290 | + } |
| 291 | + assert_eq!(poly_heights, vec![4, 8, 8]); |
| 292 | + assert_eq!(ch, vec![0, 4, 12, 20]); |
| 293 | + } |
| 294 | + |
| 295 | + #[test] |
| 296 | + fn test_jagged_commit_smoke() { |
| 297 | + // Two matrices: 4x1 and 4x2 → 3 polynomials, total 12 evals, padded to 16 |
| 298 | + let (pp, _vp) = setup_pcs::<E, Pcs>(4); |
| 299 | + let m1 = make_rmm(4, 1); |
| 300 | + let m2 = make_rmm(4, 2); |
| 301 | + |
| 302 | + let comm = jagged_commit::<E, Pcs>(&pp, vec![m1, m2]).expect("commit should succeed"); |
| 303 | + |
| 304 | + assert_eq!(comm.num_polys(), 3); |
| 305 | + assert_eq!(comm.poly_heights, vec![4, 4, 4]); |
| 306 | + assert_eq!(comm.cumulative_heights, vec![0, 4, 8, 12]); |
| 307 | + assert_eq!(comm.total_evaluations(), 12); |
| 308 | + |
| 309 | + let pure = comm.to_commitment(); |
| 310 | + assert_eq!(pure.cumulative_heights, vec![0, 4, 8, 12]); |
| 311 | + } |
| 312 | + |
| 313 | + #[test] |
| 314 | + fn test_jagged_commit_single_poly() { |
| 315 | + // 8x1 matrix → 1 polynomial, 8 evals, no padding needed |
| 316 | + let (pp, _vp) = setup_pcs::<E, Pcs>(3); |
| 317 | + let m = make_rmm(8, 1); |
| 318 | + |
| 319 | + let comm = jagged_commit::<E, Pcs>(&pp, vec![m]).expect("commit should succeed"); |
| 320 | + |
| 321 | + assert_eq!(comm.num_polys(), 1); |
| 322 | + assert_eq!(comm.poly_heights, vec![8]); |
| 323 | + assert_eq!(comm.cumulative_heights, vec![0, 8]); |
| 324 | + assert_eq!(comm.total_evaluations(), 8); |
| 325 | + } |
| 326 | + |
| 327 | + #[test] |
| 328 | + fn test_jagged_commit_empty_error() { |
| 329 | + let (pp, _vp) = setup_pcs::<E, Pcs>(4); |
| 330 | + let result = jagged_commit::<E, Pcs>(&pp, vec![]); |
| 331 | + assert!(matches!(result, Err(Error::InvalidPcsParam(_)))); |
| 332 | + } |
| 333 | +} |
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