bellperson 0.27.0

zk-SNARK library
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
//! Prover implementation implemented in Rust.

use std::{
    ops::{AddAssign, Mul, MulAssign},
    sync::Arc,
    time::Instant,
};

use bellpepper_core::{Circuit, ConstraintSystem, Index, SynthesisError, Variable};
use ec_gpu_gen::{
    multiexp_cpu::FullDensity,
    threadpool::{THREAD_POOL, Worker},
};
use ff::{Field, PrimeField};
use group::{Curve, prime::PrimeCurveAffine};
#[cfg(any(feature = "cuda", feature = "opencl"))]
use log::trace;
use log::{debug, info};
use pairing::MultiMillerLoop;
use rayon::iter::{
    IndexedParallelIterator, IntoParallelIterator, IntoParallelRefMutIterator, ParallelIterator,
};

use super::{ParameterSource, Proof, ProvingAssignment};
#[cfg(any(feature = "cuda", feature = "opencl"))]
use crate::gpu::PriorityLock;
use crate::{
    BELLMAN_VERSION,
    domain::EvaluationDomain,
    gpu::{GpuError, GpuName, LockedFftKernel, LockedMultiexpKernel},
    multiexp::multiexp,
};

#[allow(clippy::type_complexity)]
pub(super) fn create_proof_batch_priority_inner<E, C, P: ParameterSource<E>>(
    circuits: Vec<C>,
    params: P,
    randomization: Option<(Vec<E::Fr>, Vec<E::Fr>)>,
    priority: bool,
) -> Result<Vec<Proof<E>>, SynthesisError>
where
    E: MultiMillerLoop,
    C: Circuit<E::Fr> + Send,
    E::Fr: GpuName,
    E::G1Affine: GpuName,
    E::G2Affine: GpuName,
{
    info!("Bellperson {} is being used!", BELLMAN_VERSION);

    let (start, mut provers, input_assignments, aux_assignments) =
        synthesize_circuits_batch(circuits)?;

    let worker = Worker::new();
    let input_len = input_assignments[0].len();
    let vk = params.get_vk(input_len)?.clone();
    let n = provers[0].a.len();
    let a_aux_density_total = provers[0].a_aux_density.get_total_density();
    let b_input_density_total = provers[0].b_input_density.get_total_density();
    let b_aux_density_total = provers[0].b_aux_density.get_total_density();
    let aux_assignment_len = provers[0].aux_assignment.len();
    let num_circuits = provers.len();

    let zk = randomization.is_some();
    let (r_s, s_s) = randomization.unwrap_or((
        vec![E::Fr::ZERO; num_circuits],
        vec![E::Fr::ZERO; num_circuits],
    ));

    // Make sure all circuits have the same input len.
    for prover in &provers {
        assert_eq!(
            prover.a.len(),
            n,
            "only equally sized circuits are supported"
        );
        debug_assert_eq!(
            a_aux_density_total,
            prover.a_aux_density.get_total_density(),
            "only identical circuits are supported"
        );
        debug_assert_eq!(
            b_input_density_total,
            prover.b_input_density.get_total_density(),
            "only identical circuits are supported"
        );
        debug_assert_eq!(
            b_aux_density_total,
            prover.b_aux_density.get_total_density(),
            "only identical circuits are supported"
        );
    }

    #[cfg(any(feature = "cuda", feature = "opencl"))]
    let prio_lock = if priority {
        trace!("acquiring priority lock");
        Some(PriorityLock::lock())
    } else {
        None
    };

    let mut a_s = Vec::with_capacity(num_circuits);
    let mut params_h = None;
    let worker = &worker;
    let provers_ref = &mut provers;
    let params = &params;

    THREAD_POOL.scoped(|s| -> Result<(), SynthesisError> {
        let params_h = &mut params_h;
        s.execute(move || {
            debug!("get h");
            *params_h = Some(params.get_h(n));
        });

        let mut fft_kern = Some(LockedFftKernel::new(priority));
        for prover in provers_ref {
            a_s.push(execute_fft(worker, prover, &mut fft_kern)?);
        }
        Ok(())
    })?;

    let mut multiexp_g1_kern = LockedMultiexpKernel::<E::G1Affine>::new(priority);
    let params_h = params_h.unwrap()?;

    let mut h_s = Vec::with_capacity(num_circuits);
    let mut params_l = None;

    THREAD_POOL.scoped(|s| {
        let params_l = &mut params_l;
        s.execute(move || {
            debug!("get l");
            *params_l = Some(params.get_l(aux_assignment_len));
        });

        debug!("multiexp h");
        for a in a_s.into_iter() {
            h_s.push(multiexp(
                worker,
                params_h.clone(),
                FullDensity,
                a,
                &mut multiexp_g1_kern,
            ));
        }
    });

    let params_l = params_l.unwrap()?;

    let mut l_s = Vec::with_capacity(num_circuits);
    let mut params_a = None;
    let mut params_b_g1 = None;
    let mut params_b_g2 = None;
    let a_aux_density_total = provers[0].a_aux_density.get_total_density();
    let b_input_density_total = provers[0].b_input_density.get_total_density();
    let b_aux_density_total = provers[0].b_aux_density.get_total_density();

    THREAD_POOL.scoped(|s| {
        let params_a = &mut params_a;
        let params_b_g1 = &mut params_b_g1;
        let params_b_g2 = &mut params_b_g2;
        s.execute(move || {
            debug!("get_a b_g1 b_g2");
            *params_a = Some(params.get_a(input_len, a_aux_density_total));
            if zk {
                *params_b_g1 = Some(params.get_b_g1(b_input_density_total, b_aux_density_total));
            }
            *params_b_g2 = Some(params.get_b_g2(b_input_density_total, b_aux_density_total));
        });

        debug!("multiexp l");
        for aux in aux_assignments.iter() {
            l_s.push(multiexp(
                worker,
                params_l.clone(),
                FullDensity,
                aux.clone(),
                &mut multiexp_g1_kern,
            ));
        }
    });

    debug!("get a b_g1");
    let (a_inputs_source, a_aux_source) = params_a.unwrap()?;
    let params_b_g1_opt = params_b_g1.transpose()?;

    let densities = provers
        .iter_mut()
        .map(|prover| {
            let a_aux_density = std::mem::take(&mut prover.a_aux_density);
            let b_input_density = std::mem::take(&mut prover.b_input_density);
            let b_aux_density = std::mem::take(&mut prover.b_aux_density);
            (
                Arc::new(a_aux_density),
                Arc::new(b_input_density),
                Arc::new(b_aux_density),
            )
        })
        .collect::<Vec<_>>();
    drop(provers);

    debug!("multiexp a b_g1");
    // Collect the data, so that the inputs can be dropped early.
    #[allow(clippy::needless_collect)]
    let inputs_g1 = input_assignments
        .iter()
        .zip(aux_assignments.iter())
        .zip(densities.iter())
        .map(
            |(
                (input_assignment, aux_assignment),
                (a_aux_density, b_input_density, b_aux_density),
            )| {
                let a_inputs = multiexp(
                    worker,
                    a_inputs_source.clone(),
                    FullDensity,
                    input_assignment.clone(),
                    &mut multiexp_g1_kern,
                );

                let a_aux = multiexp(
                    worker,
                    a_aux_source.clone(),
                    a_aux_density.clone(),
                    aux_assignment.clone(),
                    &mut multiexp_g1_kern,
                );

                let b_g1_inputs_aux_opt =
                    params_b_g1_opt
                        .as_ref()
                        .map(|(b_g1_inputs_source, b_g1_aux_source)| {
                            (
                                multiexp(
                                    worker,
                                    b_g1_inputs_source.clone(),
                                    b_input_density.clone(),
                                    input_assignment.clone(),
                                    &mut multiexp_g1_kern,
                                ),
                                multiexp(
                                    worker,
                                    b_g1_aux_source.clone(),
                                    b_aux_density.clone(),
                                    aux_assignment.clone(),
                                    &mut multiexp_g1_kern,
                                ),
                            )
                        });

                (a_inputs, a_aux, b_g1_inputs_aux_opt)
            },
        )
        .collect::<Vec<_>>();
    #[allow(clippy::drop_non_drop)]
    drop(multiexp_g1_kern);
    drop(a_inputs_source);
    drop(a_aux_source);
    drop(params_b_g1_opt);

    // The multiexp kernel for G1 can only be initiated after the kernel for G1 was dropped. Else
    // it would block, trying to acquire the GPU lock.
    let mut multiexp_g2_kern = LockedMultiexpKernel::<E::G2Affine>::new(priority);

    debug!("get b_g2");
    let (b_g2_inputs_source, b_g2_aux_source) = params_b_g2.unwrap()?;

    debug!("multiexp b_g2");
    // Collect the data, so that the inputs can be dropped early.
    #[allow(clippy::needless_collect)]
    let inputs_g2 = input_assignments
        .iter()
        .zip(aux_assignments.iter())
        .zip(densities.iter())
        .map(
            |((input_assignment, aux_assignment), (_, b_input_density, b_aux_density))| {
                let b_g2_inputs = multiexp(
                    worker,
                    b_g2_inputs_source.clone(),
                    b_input_density.clone(),
                    input_assignment.clone(),
                    &mut multiexp_g2_kern,
                );
                let b_g2_aux = multiexp(
                    worker,
                    b_g2_aux_source.clone(),
                    b_aux_density.clone(),
                    aux_assignment.clone(),
                    &mut multiexp_g2_kern,
                );

                (b_g2_inputs, b_g2_aux)
            },
        )
        .collect::<Vec<_>>();
    #[allow(clippy::drop_non_drop)]
    drop(multiexp_g2_kern);
    drop(densities);
    drop(b_g2_inputs_source);
    drop(b_g2_aux_source);

    debug!("proofs");
    let proofs = h_s
        .into_iter()
        .zip(l_s.into_iter())
        .zip(inputs_g1.into_iter())
        .zip(inputs_g2.into_iter())
        .zip(r_s.into_iter())
        .zip(s_s.into_iter())
        .map(
            |(
                ((((h, l), (a_inputs, a_aux, b_g1_inputs_aux_opt)), (b_g2_inputs, b_g2_aux)), r),
                s,
            )| {
                if (vk.delta_g1.is_identity() | vk.delta_g2.is_identity()).into() {
                    // If this element is zero, someone is trying to perform a
                    // subversion-CRS attack.
                    return Err(SynthesisError::UnexpectedIdentity);
                }

                let mut g_a = vk.delta_g1.mul(r);
                g_a.add_assign(&vk.alpha_g1);
                let mut g_b = vk.delta_g2.mul(s);
                g_b.add_assign(&vk.beta_g2);
                let mut a_answer = a_inputs.wait().map_err(GpuError::from)?;
                a_answer.add_assign(&a_aux.wait().map_err(GpuError::from)?);
                g_a.add_assign(&a_answer);
                a_answer.mul_assign(s);
                let mut g_c = a_answer;

                let mut b2_answer = b_g2_inputs.wait().map_err(GpuError::from)?;
                b2_answer.add_assign(&b_g2_aux.wait().map_err(GpuError::from)?);

                g_b.add_assign(&b2_answer);

                if let Some((b_g1_inputs, b_g1_aux)) = b_g1_inputs_aux_opt {
                    let mut b1_answer = b_g1_inputs.wait().map_err(GpuError::from)?;
                    b1_answer.add_assign(&b_g1_aux.wait().map_err(GpuError::from)?);
                    b1_answer.mul_assign(r);
                    g_c.add_assign(&b1_answer);
                    let mut rs = r;
                    rs.mul_assign(&s);
                    g_c.add_assign(vk.delta_g1.mul(rs));
                    g_c.add_assign(&vk.alpha_g1.mul(s));
                    g_c.add_assign(&vk.beta_g1.mul(r));
                }

                g_c.add_assign(&h.wait().map_err(GpuError::from)?);
                g_c.add_assign(&l.wait().map_err(GpuError::from)?);

                Ok(Proof {
                    a: g_a.to_affine(),
                    b: g_b.to_affine(),
                    c: g_c.to_affine(),
                })
            },
        )
        .collect::<Result<Vec<_>, SynthesisError>>()?;

    #[cfg(any(feature = "cuda", feature = "opencl"))]
    {
        trace!("dropping priority lock");
        drop(prio_lock);
    }

    let proof_time = start.elapsed();
    info!("prover time: {:?}", proof_time);

    Ok(proofs)
}

fn execute_fft<F>(
    worker: &Worker,
    prover: &mut ProvingAssignment<F>,
    fft_kern: &mut Option<LockedFftKernel<F>>,
) -> Result<Arc<Vec<F::Repr>>, SynthesisError>
where
    F: PrimeField + GpuName,
{
    let mut a = EvaluationDomain::from_coeffs(std::mem::take(&mut prover.a))?;
    let mut b = EvaluationDomain::from_coeffs(std::mem::take(&mut prover.b))?;
    let mut c = EvaluationDomain::from_coeffs(std::mem::take(&mut prover.c))?;

    EvaluationDomain::ifft_many(&mut [&mut a, &mut b, &mut c], worker, fft_kern)?;
    EvaluationDomain::coset_fft_many(&mut [&mut a, &mut b, &mut c], worker, fft_kern)?;

    a.mul_assign(worker, &b);
    drop(b);
    a.sub_assign(worker, &c);
    drop(c);

    a.divide_by_z_on_coset(worker);
    a.icoset_fft(worker, fft_kern)?;

    let a = a.into_coeffs();
    let a_len = a.len() - 1;
    let a = a
        .into_par_iter()
        .take(a_len)
        .map(|s| s.to_repr())
        .collect::<Vec<_>>();
    Ok(Arc::new(a))
}

#[allow(clippy::type_complexity)]
fn synthesize_circuits_batch<Scalar, C>(
    circuits: Vec<C>,
) -> Result<
    (
        Instant,
        std::vec::Vec<ProvingAssignment<Scalar>>,
        std::vec::Vec<std::sync::Arc<std::vec::Vec<<Scalar as PrimeField>::Repr>>>,
        std::vec::Vec<std::sync::Arc<std::vec::Vec<<Scalar as PrimeField>::Repr>>>,
    ),
    SynthesisError,
>
where
    Scalar: PrimeField,
    C: Circuit<Scalar> + Send,
{
    let start = Instant::now();
    let mut provers = circuits
        .into_par_iter()
        .map(|circuit| -> Result<_, SynthesisError> {
            let mut prover = ProvingAssignment::new();

            prover.alloc_input(|| "", || Ok(Scalar::ONE))?;

            circuit.synthesize(&mut prover)?;

            for i in 0..prover.input_assignment.len() {
                prover.enforce(|| "", |lc| lc + Variable(Index::Input(i)), |lc| lc, |lc| lc);
            }

            Ok(prover)
        })
        .collect::<Result<Vec<_>, _>>()?;

    info!("synthesis time: {:?}", start.elapsed());

    // Start fft/multiexp prover timer
    let start = Instant::now();
    info!("starting proof timer");

    let input_assignments = provers
        .par_iter_mut()
        .map(|prover| {
            let input_assignment = std::mem::take(&mut prover.input_assignment);
            Arc::new(
                input_assignment
                    .into_iter()
                    .map(|s| s.to_repr())
                    .collect::<Vec<_>>(),
            )
        })
        .collect::<Vec<_>>();

    let aux_assignments = provers
        .par_iter_mut()
        .map(|prover| {
            let aux_assignment = std::mem::take(&mut prover.aux_assignment);
            Arc::new(
                aux_assignment
                    .into_iter()
                    .map(|s| s.to_repr())
                    .collect::<Vec<_>>(),
            )
        })
        .collect::<Vec<_>>();

    Ok((start, provers, input_assignments, aux_assignments))
}