testudo/src/product_tree.rs
src/product_tree.rsRaw
1#[allow(dead_code)]
2use super::dense_mlpoly::DensePolynomial;
3use super::dense_mlpoly::EqPolynomial;
4use super::math::Math;
5use super::scalar::Scalar;
6use super::sumcheck::SumcheckInstanceProof;
7use super::transcript::ProofTranscript;
8use merlin::Transcript;
9use serde::{Deserialize, Serialize};
10
11#[derive(Debug)]
12pub struct ProductCircuit {
13 left_vec: Vec<DensePolynomial>,
14 right_vec: Vec<DensePolynomial>,
15}
16
17impl ProductCircuit {
18 fn compute_layer(
19 inp_left: &DensePolynomial,
20 inp_right: &DensePolynomial,
21 ) -> (DensePolynomial, DensePolynomial) {
22 let len = inp_left.len() + inp_right.len();
23 let outp_left = (0..len / 4)
24 .map(|i| &inp_left[i] * &inp_right[i])
25 .collect::<Vec<Scalar>>();
26 let outp_right = (len / 4..len / 2)
27 .map(|i| &inp_left[i] * &inp_right[i])
28 .collect::<Vec<Scalar>>();
29
30 (
31 DensePolynomial::new(outp_left),
32 DensePolynomial::new(outp_right),
33 )
34 }
35
36 pub fn new(poly: &DensePolynomial) -> Self {
37 let mut left_vec: Vec<DensePolynomial> = Vec::new();
38 let mut right_vec: Vec<DensePolynomial> = Vec::new();
39
40 let num_layers = poly.len().log2();
41 let (outp_left, outp_right) = poly.split(poly.len() / 2);
42
43 left_vec.push(outp_left);
44 right_vec.push(outp_right);
45
46 for i in 0..num_layers - 1 {
47 let (outp_left, outp_right) = ProductCircuit::compute_layer(&left_vec[i], &right_vec[i]);
48 left_vec.push(outp_left);
49 right_vec.push(outp_right);
50 }
51
52 ProductCircuit {
53 left_vec,
54 right_vec,
55 }
56 }
57
58 pub fn evaluate(&self) -> Scalar {
59 let len = self.left_vec.len();
60 assert_eq!(self.left_vec[len - 1].get_num_vars(), 0);
61 assert_eq!(self.right_vec[len - 1].get_num_vars(), 0);
62 self.left_vec[len - 1][0] * self.right_vec[len - 1][0]
63 }
64}
65
66pub struct DotProductCircuit {
67 left: DensePolynomial,
68 right: DensePolynomial,
69 weight: DensePolynomial,
70}
71
72impl DotProductCircuit {
73 pub fn new(left: DensePolynomial, right: DensePolynomial, weight: DensePolynomial) -> Self {
74 assert_eq!(left.len(), right.len());
75 assert_eq!(left.len(), weight.len());
76 DotProductCircuit {
77 left,
78 right,
79 weight,
80 }
81 }
82
83 pub fn evaluate(&self) -> Scalar {
84 (0..self.left.len())
85 .map(|i| &self.left[i] * &self.right[i] * &self.weight[i])
86 .sum()
87 }
88
89 pub fn split(&mut self) -> (DotProductCircuit, DotProductCircuit) {
90 let idx = self.left.len() / 2;
91 assert_eq!(idx * 2, self.left.len());
92 let (l1, l2) = self.left.split(idx);
93 let (r1, r2) = self.right.split(idx);
94 let (w1, w2) = self.weight.split(idx);
95 (
96 DotProductCircuit {
97 left: l1,
98 right: r1,
99 weight: w1,
100 },
101 DotProductCircuit {
102 left: l2,
103 right: r2,
104 weight: w2,
105 },
106 )
107 }
108}
109
110#[allow(dead_code)]
111#[derive(Debug, Serialize, Deserialize)]
112pub struct LayerProof {
113 pub proof: SumcheckInstanceProof,
114 pub claims: Vec<Scalar>,
115}
116
117#[allow(dead_code)]
118impl LayerProof {
119 pub fn verify(
120 &self,
121 claim: Scalar,
122 num_rounds: usize,
123 degree_bound: usize,
124 transcript: &mut Transcript,
125 ) -> (Scalar, Vec<Scalar>) {
126 self
127 .proof
128 .verify(claim, num_rounds, degree_bound, transcript)
129 .unwrap()
130 }
131}
132
133#[allow(dead_code)]
134#[derive(Debug, Serialize, Deserialize)]
135pub struct LayerProofBatched {
136 pub proof: SumcheckInstanceProof,
137 pub claims_prod_left: Vec<Scalar>,
138 pub claims_prod_right: Vec<Scalar>,
139}
140
141#[allow(dead_code)]
142impl LayerProofBatched {
143 pub fn verify(
144 &self,
145 claim: Scalar,
146 num_rounds: usize,
147 degree_bound: usize,
148 transcript: &mut Transcript,
149 ) -> (Scalar, Vec<Scalar>) {
150 self
151 .proof
152 .verify(claim, num_rounds, degree_bound, transcript)
153 .unwrap()
154 }
155}
156
157#[derive(Debug, Serialize, Deserialize)]
158pub struct ProductCircuitEvalProof {
159 proof: Vec<LayerProof>,
160}
161
162#[derive(Debug, Serialize, Deserialize)]
163pub struct ProductCircuitEvalProofBatched {
164 proof: Vec<LayerProofBatched>,
165 claims_dotp: (Vec<Scalar>, Vec<Scalar>, Vec<Scalar>),
166}
167
168impl ProductCircuitEvalProof {
169 #![allow(dead_code)]
170 pub fn prove(
171 circuit: &mut ProductCircuit,
172 transcript: &mut Transcript,
173 ) -> (Self, Scalar, Vec<Scalar>) {
174 let mut proof: Vec<LayerProof> = Vec::new();
175 let num_layers = circuit.left_vec.len();
176
177 let mut claim = circuit.evaluate();
178 let mut rand = Vec::new();
179 for layer_id in (0..num_layers).rev() {
180 let len = circuit.left_vec[layer_id].len() + circuit.right_vec[layer_id].len();
181
182 let mut poly_C = DensePolynomial::new(EqPolynomial::new(rand.clone()).evals());
183 assert_eq!(poly_C.len(), len / 2);
184
185 let num_rounds_prod = poly_C.len().log2();
186 let comb_func_prod = |poly_A_comp: &Scalar,
187 poly_B_comp: &Scalar,
188 poly_C_comp: &Scalar|
189 -> Scalar { poly_A_comp * poly_B_comp * poly_C_comp };
190 let (proof_prod, rand_prod, claims_prod) = SumcheckInstanceProof::prove_cubic(
191 &claim,
192 num_rounds_prod,
193 &mut circuit.left_vec[layer_id],
194 &mut circuit.right_vec[layer_id],
195 &mut poly_C,
196 comb_func_prod,
197 transcript,
198 );
199
200 transcript.append_scalar(b"claim_prod_left", &claims_prod[0]);
201 transcript.append_scalar(b"claim_prod_right", &claims_prod[1]);
202
203 // produce a random challenge
204 let r_layer = transcript.challenge_scalar(b"challenge_r_layer");
205 claim = &claims_prod[0] + &r_layer * (&claims_prod[1] - &claims_prod[0]);
206
207 let mut ext = vec![r_layer];
208 ext.extend(rand_prod);
209 rand = ext;
210
211 proof.push(LayerProof {
212 proof: proof_prod,
213 claims: claims_prod[0..claims_prod.len() - 1].to_vec(),
214 });
215 }
216
217 (ProductCircuitEvalProof { proof }, claim, rand)
218 }
219
220 pub fn verify(
221 &self,
222 eval: Scalar,
223 len: usize,
224 transcript: &mut Transcript,
225 ) -> (Scalar, Vec<Scalar>) {
226 let num_layers = len.log2();
227 let mut claim = eval;
228 let mut rand: Vec<Scalar> = Vec::new();
229 let mut num_rounds = 0;
230 assert_eq!(self.proof.len(), num_layers);
231 for i in 0..num_layers {
232 let (claim_last, rand_prod) = self.proof[i].verify(claim, num_rounds, 3, transcript);
233
234 let claims_prod = &self.proof[i].claims;
235 transcript.append_scalar(b"claim_prod_left", &claims_prod[0]);
236 transcript.append_scalar(b"claim_prod_right", &claims_prod[1]);
237
238 assert_eq!(rand.len(), rand_prod.len());
239 let eq: Scalar = (0..rand.len())
240 .map(|i| {
241 rand[i] * rand_prod[i] + (Scalar::one() - rand[i]) * (Scalar::one() - rand_prod[i])
242 })
243 .product();
244 assert_eq!(claims_prod[0] * claims_prod[1] * eq, claim_last);
245
246 // produce a random challenge
247 let r_layer = transcript.challenge_scalar(b"challenge_r_layer");
248 claim = (Scalar::one() - r_layer) * claims_prod[0] + r_layer * claims_prod[1];
249 num_rounds = num_rounds + 1;
250 let mut ext = vec![r_layer];
251 ext.extend(rand_prod);
252 rand = ext;
253 }
254
255 (claim, rand)
256 }
257}
258
259impl ProductCircuitEvalProofBatched {
260 pub fn prove(
261 prod_circuit_vec: &mut Vec<&mut ProductCircuit>,
262 dotp_circuit_vec: &mut Vec<&mut DotProductCircuit>,
263 transcript: &mut Transcript,
264 ) -> (Self, Vec<Scalar>) {
265 assert!(prod_circuit_vec.len() > 0);
266
267 let mut claims_dotp_final = (Vec::new(), Vec::new(), Vec::new());
268
269 let mut proof_layers: Vec<LayerProofBatched> = Vec::new();
270 let num_layers = prod_circuit_vec[0].left_vec.len();
271 let mut claims_to_verify = (0..prod_circuit_vec.len())
272 .map(|i| prod_circuit_vec[i].evaluate())
273 .collect::<Vec<Scalar>>();
274 let mut rand = Vec::new();
275 for layer_id in (0..num_layers).rev() {
276 // prepare paralell instance that share poly_C first
277 let len = prod_circuit_vec[0].left_vec[layer_id].len()
278 + prod_circuit_vec[0].right_vec[layer_id].len();
279
280 let mut poly_C_par = DensePolynomial::new(EqPolynomial::new(rand.clone()).evals());
281 assert_eq!(poly_C_par.len(), len / 2);
282
283 let num_rounds_prod = poly_C_par.len().log2();
284 let comb_func_prod = |poly_A_comp: &Scalar,
285 poly_B_comp: &Scalar,
286 poly_C_comp: &Scalar|
287 -> Scalar { poly_A_comp * poly_B_comp * poly_C_comp };
288
289 let mut poly_A_batched_par: Vec<&mut DensePolynomial> = Vec::new();
290 let mut poly_B_batched_par: Vec<&mut DensePolynomial> = Vec::new();
291 for prod_circuit in prod_circuit_vec.iter_mut() {
292 poly_A_batched_par.push(&mut prod_circuit.left_vec[layer_id]);
293 poly_B_batched_par.push(&mut prod_circuit.right_vec[layer_id])
294 }
295 let poly_vec_par = (
296 &mut poly_A_batched_par,
297 &mut poly_B_batched_par,
298 &mut poly_C_par,
299 );
300
301 // prepare sequential instances that don't share poly_C
302 let mut poly_A_batched_seq: Vec<&mut DensePolynomial> = Vec::new();
303 let mut poly_B_batched_seq: Vec<&mut DensePolynomial> = Vec::new();
304 let mut poly_C_batched_seq: Vec<&mut DensePolynomial> = Vec::new();
305 if layer_id == 0 && dotp_circuit_vec.len() > 0 {
306 // add additional claims
307 for i in 0..dotp_circuit_vec.len() {
308 claims_to_verify.push(dotp_circuit_vec[i].evaluate());
309 assert_eq!(len / 2, dotp_circuit_vec[i].left.len());
310 assert_eq!(len / 2, dotp_circuit_vec[i].right.len());
311 assert_eq!(len / 2, dotp_circuit_vec[i].weight.len());
312 }
313
314 for dotp_circuit in dotp_circuit_vec.iter_mut() {
315 poly_A_batched_seq.push(&mut dotp_circuit.left);
316 poly_B_batched_seq.push(&mut dotp_circuit.right);
317 poly_C_batched_seq.push(&mut dotp_circuit.weight);
318 }
319 }
320 let poly_vec_seq = (
321 &mut poly_A_batched_seq,
322 &mut poly_B_batched_seq,
323 &mut poly_C_batched_seq,
324 );
325
326 // produce a fresh set of coeffs and a joint claim
327 let coeff_vec =
328 transcript.challenge_vector(b"rand_coeffs_next_layer", claims_to_verify.len());
329 let claim = (0..claims_to_verify.len())
330 .map(|i| claims_to_verify[i] * coeff_vec[i])
331 .sum();
332
333 let (proof, rand_prod, claims_prod, claims_dotp) = SumcheckInstanceProof::prove_cubic_batched(
334 &claim,
335 num_rounds_prod,
336 poly_vec_par,
337 poly_vec_seq,
338 &coeff_vec,
339 comb_func_prod,
340 transcript,
341 );
342
343 let (claims_prod_left, claims_prod_right, _claims_eq) = claims_prod;
344 for i in 0..prod_circuit_vec.len() {
345 transcript.append_scalar(b"claim_prod_left", &claims_prod_left[i]);
346 transcript.append_scalar(b"claim_prod_right", &claims_prod_right[i]);
347 }
348
349 if layer_id == 0 && dotp_circuit_vec.len() > 0 {
350 let (claims_dotp_left, claims_dotp_right, claims_dotp_weight) = claims_dotp;
351 for i in 0..dotp_circuit_vec.len() {
352 transcript.append_scalar(b"claim_dotp_left", &claims_dotp_left[i]);
353 transcript.append_scalar(b"claim_dotp_right", &claims_dotp_right[i]);
354 transcript.append_scalar(b"claim_dotp_weight", &claims_dotp_weight[i]);
355 }
356 claims_dotp_final = (claims_dotp_left, claims_dotp_right, claims_dotp_weight);
357 }
358
359 // produce a random challenge to condense two claims into a single claim
360 let r_layer = transcript.challenge_scalar(b"challenge_r_layer");
361
362 claims_to_verify = (0..prod_circuit_vec.len())
363 .map(|i| &claims_prod_left[i] + &r_layer * (&claims_prod_right[i] - &claims_prod_left[i]))
364 .collect::<Vec<Scalar>>();
365
366 let mut ext = vec![r_layer];
367 ext.extend(rand_prod);
368 rand = ext;
369
370 proof_layers.push(LayerProofBatched {
371 proof,
372 claims_prod_left,
373 claims_prod_right,
374 });
375 }
376
377 (
378 ProductCircuitEvalProofBatched {
379 proof: proof_layers,
380 claims_dotp: claims_dotp_final,
381 },
382 rand,
383 )
384 }
385
386 pub fn verify(
387 &self,
388 claims_prod_vec: &Vec<Scalar>,
389 claims_dotp_vec: &Vec<Scalar>,
390 len: usize,
391 transcript: &mut Transcript,
392 ) -> (Vec<Scalar>, Vec<Scalar>, Vec<Scalar>) {
393 let num_layers = len.log2();
394 let mut rand: Vec<Scalar> = Vec::new();
395 let mut num_rounds = 0;
396 assert_eq!(self.proof.len(), num_layers);
397
398 let mut claims_to_verify = claims_prod_vec.clone();
399 let mut claims_to_verify_dotp: Vec<Scalar> = Vec::new();
400 for i in 0..num_layers {
401 if i == num_layers - 1 {
402 claims_to_verify.extend(claims_dotp_vec);
403 }
404
405 // produce random coefficients, one for each instance
406 let coeff_vec =
407 transcript.challenge_vector(b"rand_coeffs_next_layer", claims_to_verify.len());
408
409 // produce a joint claim
410 let claim = (0..claims_to_verify.len())
411 .map(|i| claims_to_verify[i] * coeff_vec[i])
412 .sum();
413
414 let (claim_last, rand_prod) = self.proof[i].verify(claim, num_rounds, 3, transcript);
415
416 let claims_prod_left = &self.proof[i].claims_prod_left;
417 let claims_prod_right = &self.proof[i].claims_prod_right;
418 assert_eq!(claims_prod_left.len(), claims_prod_vec.len());
419 assert_eq!(claims_prod_right.len(), claims_prod_vec.len());
420
421 for i in 0..claims_prod_vec.len() {
422 transcript.append_scalar(b"claim_prod_left", &claims_prod_left[i]);
423 transcript.append_scalar(b"claim_prod_right", &claims_prod_right[i]);
424 }
425
426 assert_eq!(rand.len(), rand_prod.len());
427 let eq: Scalar = (0..rand.len())
428 .map(|i| {
429 rand[i] * rand_prod[i] + (Scalar::one() - rand[i]) * (Scalar::one() - rand_prod[i])
430 })
431 .product();
432 let mut claim_expected: Scalar = (0..claims_prod_vec.len())
433 .map(|i| coeff_vec[i] * (claims_prod_left[i] * claims_prod_right[i] * eq))
434 .sum();
435
436 // add claims from the dotp instances
437 if i == num_layers - 1 {
438 let num_prod_instances = claims_prod_vec.len();
439 let (claims_dotp_left, claims_dotp_right, claims_dotp_weight) = &self.claims_dotp;
440 for i in 0..claims_dotp_left.len() {
441 transcript.append_scalar(b"claim_dotp_left", &claims_dotp_left[i]);
442 transcript.append_scalar(b"claim_dotp_right", &claims_dotp_right[i]);
443 transcript.append_scalar(b"claim_dotp_weight", &claims_dotp_weight[i]);
444
445 claim_expected = &claim_expected
446 + &coeff_vec[i + num_prod_instances]
447 * &claims_dotp_left[i]
448 * &claims_dotp_right[i]
449 * &claims_dotp_weight[i];
450 }
451 }
452
453 assert_eq!(claim_expected, claim_last);
454
455 // produce a random challenge
456 let r_layer = transcript.challenge_scalar(b"challenge_r_layer");
457
458 claims_to_verify = (0..claims_prod_left.len())
459 .map(|i| &claims_prod_left[i] + &r_layer * (&claims_prod_right[i] - &claims_prod_left[i]))
460 .collect::<Vec<Scalar>>();
461
462 // add claims to verify for dotp circuit
463 if i == num_layers - 1 {
464 let (claims_dotp_left, claims_dotp_right, claims_dotp_weight) = &self.claims_dotp;
465
466 for i in 0..claims_dotp_vec.len() / 2 {
467 // combine left claims
468 let claim_left = &claims_dotp_left[2 * i]
469 + &r_layer * (&claims_dotp_left[2 * i + 1] - &claims_dotp_left[2 * i]);
470
471 let claim_right = &claims_dotp_right[2 * i]
472 + &r_layer * (&claims_dotp_right[2 * i + 1] - &claims_dotp_right[2 * i]);
473
474 let claim_weight = &claims_dotp_weight[2 * i]
475 + &r_layer * (&claims_dotp_weight[2 * i + 1] - &claims_dotp_weight[2 * i]);
476 claims_to_verify_dotp.push(claim_left);
477 claims_to_verify_dotp.push(claim_right);
478 claims_to_verify_dotp.push(claim_weight);
479 }
480 }
481
482 num_rounds = num_rounds + 1;
483 let mut ext = vec![r_layer];
484 ext.extend(rand_prod);
485 rand = ext;
486 }
487 (claims_to_verify, claims_to_verify_dotp, rand)
488 }
489}