tasm_lib/mmr/
verify_from_memory.rs

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
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
use std::collections::HashMap;

use itertools::Itertools;
use num::One;
use rand::prelude::*;
use triton_vm::prelude::*;
use triton_vm::twenty_first::prelude::MmrMembershipProof;
use twenty_first::math::other::random_elements;
use twenty_first::util_types::mmr::mmr_accumulator::util::mmra_with_mps;
use twenty_first::util_types::mmr::mmr_accumulator::MmrAccumulator;
use twenty_first::util_types::mmr::mmr_trait::Mmr;

use super::leaf_index_to_mt_index_and_peak_index::MmrLeafIndexToMtIndexAndPeakIndex;
use super::MAX_MMR_HEIGHT;
use crate::arithmetic::u64::div2_u64::Div2U64;
use crate::data_type::DataType;
use crate::empty_stack;
use crate::hashing::eq_digest::EqDigest;
use crate::hashing::swap_digest::SwapDigest;
use crate::library::Library;
use crate::list::get::Get;
use crate::rust_shadowing_helper_functions;
use crate::traits::deprecated_snippet::DeprecatedSnippet;
use crate::Digest;
use crate::InitVmState;

#[derive(Debug, Default, Copy, Clone, Eq, PartialEq, Hash)]
pub struct MmrVerifyFromMemory;

impl MmrVerifyFromMemory {
    fn prepare_vm_state(
        &self,
        mmr: &MmrAccumulator,
        leaf: Digest,
        leaf_index: u64,
        auth_path: Vec<Digest>,
    ) -> InitVmState {
        // BEFORE: _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo [digest (leaf_digest)] *auth_path
        // AFTER:  _ validation_result
        let mut stack = empty_stack();

        let peaks_pointer = BFieldElement::one();
        stack.push(peaks_pointer);

        let leaf_count: u64 = mmr.num_leafs();
        stack.push(BFieldElement::new(leaf_count >> 32));
        stack.push(BFieldElement::new(leaf_count & u32::MAX as u64));

        let leaf_index_hi = BFieldElement::new(leaf_index >> 32);
        let leaf_index_lo = BFieldElement::new(leaf_index & u32::MAX as u64);
        stack.push(leaf_index_hi);
        stack.push(leaf_index_lo);

        // push digests such that element 0 of digest is on top of stack
        for value in leaf.values().iter().rev() {
            stack.push(*value);
        }

        // We assume that the auth paths can safely be stored in memory on this address
        let auth_path_pointer = BFieldElement::new((MAX_MMR_HEIGHT * Digest::LEN + 1) as u64);
        stack.push(auth_path_pointer);

        // Initialize memory
        let mut memory: HashMap<BFieldElement, BFieldElement> = HashMap::default();
        rust_shadowing_helper_functions::list::list_new(peaks_pointer, &mut memory);

        for peak in mmr.peaks() {
            rust_shadowing_helper_functions::list::list_push(
                peaks_pointer,
                peak.values().to_vec(),
                &mut memory,
                Digest::LEN,
            );
        }

        rust_shadowing_helper_functions::list::list_new(auth_path_pointer, &mut memory);
        for ap_element in auth_path.iter() {
            rust_shadowing_helper_functions::list::list_push(
                auth_path_pointer,
                ap_element.values().to_vec(),
                &mut memory,
                Digest::LEN,
            );
        }

        InitVmState::with_stack_and_memory(stack, memory)
    }
}

impl DeprecatedSnippet for MmrVerifyFromMemory {
    fn entrypoint_name(&self) -> String {
        "tasmlib_mmr_verify_from_memory".into()
    }

    fn input_field_names(&self) -> Vec<String> {
        vec![
            "*peaks".to_string(),
            "leaf_count_hi".to_string(),
            "leaf_count_lo".to_string(),
            "leaf_index_hi".to_string(),
            "leaf_index_lo".to_string(),
            "leaf_digest_4".to_string(),
            "leaf_digest_3".to_string(),
            "leaf_digest_2".to_string(),
            "leaf_digest_1".to_string(),
            "leaf_digest_0".to_string(),
            "*auth_path".to_string(),
        ]
    }

    fn input_types(&self) -> Vec<DataType> {
        vec![
            DataType::List(Box::new(DataType::Digest)),
            DataType::U64,
            DataType::U64,
            DataType::Digest,
            DataType::List(Box::new(DataType::Digest)),
        ]
    }

    fn output_field_names(&self) -> Vec<String> {
        vec!["validation_result".to_string()]
    }

    fn output_types(&self) -> Vec<crate::data_type::DataType> {
        vec![DataType::Bool]
    }

    fn stack_diff(&self) -> isize {
        -10
    }

    fn function_code(&self, library: &mut Library) -> String {
        let entrypoint = self.entrypoint_name();

        let leaf_index_to_mt_index = library.import(Box::new(MmrLeafIndexToMtIndexAndPeakIndex));
        let get_list_element = library.import(Box::new(Get::new(DataType::Digest)));
        let div_2 = library.import(Box::new(Div2U64));
        let swap_digests = library.import(Box::new(SwapDigest));
        let eq_digest = library.import(Box::new(EqDigest));
        let loop_label = format!("{entrypoint}_loop");

        let u32_is_even = triton_asm!(
            // _ val

            push 1
            and
            // _ is_odd

            push 0
            eq
            // _ is_even
        );

        let loop_code = triton_asm!(
                // INVARIANT: _ *auth_path[n] peak_index mt_index_hi mt_index_lo [digest (acc_hash)]
                {loop_label}:
                    dup 6 push 0 eq
                    dup 6 push 1 eq
                    mul
                    // _ *auth_path[n] peak_index mt_index_hi mt_index_lo [digest (acc_hash)] (mt_index == 1)

                    skiz return
                    // _ *auth_path[n] peak_index mt_index_hi mt_index_lo [digest (acc_hash)]

                    // declare `ap_element = auth_path[i]`
                    dup 8
                    read_mem {Digest::LEN}
                    push {Digest::LEN * 2}
                    add
                    swap 14
                    pop 1
                    // _ *auth_path[n+1] peak_index mt_index_hi mt_index_lo [digest (acc_hash)] [digest (ap_element)]

                    dup 10
                    {&u32_is_even}
                    // _ *auth_path[n+1] peak_index mt_index_hi mt_index_lo [digest (acc_hash)] [digest (ap_element)] (mt_index % 2 == 0)

                    skiz call {swap_digests}
                    // _ *auth_path[n+1] peak_index mt_index_hi mt_index_lo [digest (right_node)] [digest (left_node)]

                    hash
                    // _ *auth_path[n+1] peak_index mt_index_hi mt_index_lo [digest (acc_hash)]

                    // mt_index -> mt_index / 2
                    swap 6 swap 1 swap 5
                    call {div_2}
                    swap 5 swap 1 swap 6
                    // _ *auth_path[n+1] peak_index (mt_index / 2)_hi (mt_index / 2)_lo acc_hash_4 acc_hash_3 acc_hash_2 acc_hash_1 acc_hash_0

                    // Rename: (mt_index / 2) -> mt_index
                    // _ *auth_path[n+1] peak_index mt_index_hi mt_index_lo [digest (acc_hash)]

                    recurse
        );

        triton_asm!(
                // BEFORE: _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo [digest (leaf_digest)] *auth_path
                // AFTER:  _ validation_result
                // Will crash if `leaf_index >= leaf_count`
                {entrypoint}:
                    dup 9 dup 9 dup 9 dup 9
                    call {leaf_index_to_mt_index}
                    // stack: _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo [digest (leaf_digest)] *auth_path mt_index_hi mt_index_lo peak_index

                    swap 7
                    swap 3
                    swap 8
                    swap 4
                    swap 6
                    swap 2
                    swap 6
                    swap 1
                    swap 5
                    swap 1
                    // stack: _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path peak_index mt_index_hi mt_index_lo [digest (leaf_digest)]

                    // rename: leaf_digest -> acc_hash
                    // stack: _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path peak_index mt_index_hi mt_index_lo [digest (acc_hash)]

                    swap 8
                    push {Digest::LEN}
                    add
                    swap 8
                    // _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path[0] peak_index mt_index_hi mt_index_lo [digest (acc_hash)]

                    call {loop_label}
                    // _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path peak_index mt_index_hi mt_index_lo [digest (acc_hash)]

                    // Compare `acc_hash` to the `expected_peak`, where `expected_peak = peaks[peak_index]`
                    dup 13 dup 8
                    // _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path peak_index mt_index_hi mt_index_lo [digest (acc_hash)] *peaks peak_index

                    call {get_list_element}
                    // _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path peak_index mt_index_hi mt_index_lo [digest (acc_hash)] [digest (expected_peak)]

                    // Compare top two digests
                    call {eq_digest}
                    // _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path peak_index mt_index_hi mt_index_lo (expected_peak == acc_hash)

                    // Rename: expected_peak == acc_hash -> validation_result
                    // _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo *auth_path peak_index mt_index_hi mt_index_lo validation_result

                    swap 9
                    pop 5
                    pop 4
                    // _ validation_result

                    return

                    {&loop_code}

        )
        .iter()
        .join("\n")
    }

    fn crash_conditions(&self) -> Vec<String> {
        vec![
            "leaf_index >= leaf_count".to_string(),
            "leaf_index values not u32s".to_string(),
        ]
    }

    fn gen_input_states(&self) -> Vec<crate::InitVmState> {
        let mut rng = thread_rng();
        let max_size = 100;
        let size = rng.gen_range(1..max_size);
        let digests: Vec<Digest> = random_elements(size);
        let leaf_index = rng.gen_range(0..size);
        let leaf = digests[leaf_index];
        let (mmra, mps) = mmra_with_mps(size as u64, vec![(leaf_index as u64, leaf)]);
        let ret0 = self.prepare_vm_state(
            &mmra,
            leaf,
            leaf_index as u64,
            mps[0].authentication_path.clone(),
        );

        vec![ret0]
    }

    fn common_case_input_state(&self) -> InitVmState {
        let log2_size = 31;
        let leaf_count_after_add = 1u64 << log2_size;
        let peaks: Vec<Digest> = random_elements(log2_size as usize);
        let mut mmra = MmrAccumulator::init(peaks, leaf_count_after_add - 1);
        let new_leaf: Digest = random();
        let mp = mmra.append(new_leaf);
        let auth_path = mp.authentication_path;

        // Sanity check of length of auth path
        assert_eq!(log2_size, auth_path.len() as u64);
        self.prepare_vm_state(&mmra, new_leaf, leaf_count_after_add - 1, auth_path)
    }

    fn worst_case_input_state(&self) -> InitVmState {
        let log2_size = 62;
        let leaf_count_after_add = 1u64 << log2_size;
        let peaks: Vec<Digest> = random_elements(log2_size as usize);
        let mut mmra = MmrAccumulator::init(peaks, leaf_count_after_add - 1);
        let new_leaf: Digest = random();
        let mp = mmra.append(new_leaf);
        let auth_path = mp.authentication_path;

        // Sanity check of length of auth path
        assert_eq!(log2_size, auth_path.len() as u64);
        self.prepare_vm_state(&mmra, new_leaf, leaf_count_after_add - 1, auth_path)
    }

    fn rust_shadowing(
        &self,
        stack: &mut Vec<BFieldElement>,
        _std_in: Vec<BFieldElement>,
        _secret_in: Vec<BFieldElement>,
        memory: &mut HashMap<BFieldElement, BFieldElement>,
    ) {
        // BEFORE: _ *peaks leaf_count_hi leaf_count_lo leaf_index_hi leaf_index_lo [digest (leaf_digest)] *auth_path
        // AFTER:  _ validation_result
        let auth_path_pointer = stack.pop().unwrap();

        let list_get = rust_shadowing_helper_functions::list::list_get;
        let auth_path_length = memory[&auth_path_pointer].value();
        let mut auth_path: Vec<Digest> = vec![];
        for i in 0..auth_path_length {
            let digest = Digest::new(
                list_get(auth_path_pointer, i as usize, memory, Digest::LEN)
                    .try_into()
                    .unwrap(),
            );
            auth_path.push(digest);
        }

        let mut new_leaf_digest_values = [BFieldElement::new(0); Digest::LEN];
        for elem in new_leaf_digest_values.iter_mut() {
            *elem = stack.pop().unwrap();
        }

        let leaf_digest = Digest::new(new_leaf_digest_values);

        let leaf_index_lo: u32 = stack.pop().unwrap().try_into().unwrap();
        let leaf_index_hi: u32 = stack.pop().unwrap().try_into().unwrap();
        let leaf_index: u64 = ((leaf_index_hi as u64) << 32) + leaf_index_lo as u64;

        let leaf_count_lo: u32 = stack.pop().unwrap().try_into().unwrap();
        let leaf_count_hi: u32 = stack.pop().unwrap().try_into().unwrap();
        let leaf_count: u64 = ((leaf_count_hi as u64) << 32) + leaf_count_lo as u64;

        let peaks_pointer = stack.pop().unwrap();
        let peaks_count: u64 = memory[&peaks_pointer].value();
        let mut peaks: Vec<Digest> = vec![];
        for i in 0..peaks_count {
            let digest = Digest::new(
                list_get(peaks_pointer, i as usize, memory, Digest::LEN)
                    .try_into()
                    .unwrap(),
            );
            peaks.push(digest);
        }

        let valid_mp =
            MmrMembershipProof::new(auth_path).verify(leaf_index, leaf_digest, &peaks, leaf_count);

        stack.push(BFieldElement::new(valid_mp as u64));
    }
}

#[cfg(test)]
mod tests {
    use itertools::Itertools;
    use twenty_first::prelude::AlgebraicHasher;

    use super::*;
    use crate::empty_stack;
    use crate::test_helpers::test_rust_equivalence_given_input_values_deprecated;
    use crate::test_helpers::test_rust_equivalence_multiple_deprecated;

    #[test]
    fn verify_from_memory_test() {
        test_rust_equivalence_multiple_deprecated(&MmrVerifyFromMemory, true);
    }

    // This will crash the VM because leaf?index is not strictly less than leaf_count
    #[test]
    #[should_panic]
    fn mmra_ap_verify_test_empty() {
        let digest0 = Tip5::hash(&BFieldElement::new(4545));
        let mmr = MmrAccumulator::new_from_leafs(vec![]);
        let leaf_index = 0;
        prop_verify_from_memory(&mmr, digest0, leaf_index, vec![], false);
    }

    #[test]
    fn mmra_ap_verify_test_one() {
        let digest0 = Tip5::hash(&BFieldElement::new(4545));
        let mut mmr = MmrAccumulator::new_from_leafs(vec![]);
        mmr.append(digest0);
        let leaf_index = 0;
        prop_verify_from_memory(&mmr, digest0, leaf_index, vec![], true);
    }

    #[test]
    fn mmra_ap_verify_test_two() {
        let digest0 = Tip5::hash(&BFieldElement::new(123));
        let digest1 = Tip5::hash(&BFieldElement::new(456));

        let mut mmr = MmrAccumulator::new_from_leafs(vec![]);
        mmr.append(digest0);
        mmr.append(digest1);

        let leaf_index_0 = 0;
        prop_verify_from_memory(&mmr, digest0, leaf_index_0, vec![digest1], true);

        let leaf_index_1 = 1;
        prop_verify_from_memory(&mmr, digest1, leaf_index_1, vec![digest0], true);
    }

    #[test]
    fn mmra_ap_verify_test_pbt() {
        let max_size = 19;

        for leaf_count in 0..max_size {
            let digests: Vec<Digest> = random_elements(leaf_count);

            let (mmr, mps) = mmra_with_mps(
                leaf_count as u64,
                digests
                    .iter()
                    .cloned()
                    .enumerate()
                    .map(|(i, d)| (i as u64, d))
                    .collect_vec(),
            );

            let bad_leaf: Digest = thread_rng().gen();
            for (leaf_index, leaf_digest) in digests.into_iter().enumerate() {
                let auth_path = mps[leaf_index].clone();

                // Positive test
                prop_verify_from_memory(
                    &mmr,
                    leaf_digest,
                    leaf_index as u64,
                    auth_path.authentication_path.clone(),
                    true,
                );

                // Negative tests
                let bad_index = (leaf_index + 1) % leaf_count;
                if bad_index != leaf_index {
                    prop_verify_from_memory(
                        &mmr,
                        leaf_digest,
                        bad_index as u64,
                        auth_path.authentication_path.clone(),
                        false,
                    );
                }
                prop_verify_from_memory(
                    &mmr,
                    bad_leaf,
                    leaf_index as u64,
                    auth_path.authentication_path,
                    false,
                );
            }
        }
    }

    #[test]
    fn mmra_ap_verify_many_leafs() {
        for init_leaf_count in [
            (1u64 << 40) + (1 << 21) + 510,
            (1 << 32) - 1,
            (1 << 61) - 3,
            (1 << 61) - 2,
            (1 << 61) - 1,
            1 << 61,
        ] {
            // let init_peak_count = 10; // 1 + 1 + 8
            let init_peak_count = init_leaf_count.count_ones();
            println!("init_peak_count = {init_peak_count}");

            // We can't construct this large archival MMRs, so we have to handle it with an MMRA
            // and handle the membership proofs ourselves
            let fake_peaks: Vec<Digest> = random_elements(init_peak_count as usize);
            let mut mmr = MmrAccumulator::init(fake_peaks, init_leaf_count);

            // Insert the 1st leaf
            let second_to_last_leaf: Digest = thread_rng().gen();
            let second_to_last_leaf_index = init_leaf_count;
            let mut real_membership_proof_second_to_last = mmr.append(second_to_last_leaf);

            // Insert one more leaf and update the existing membership proof
            let last_leaf: Digest = thread_rng().gen();
            let last_leaf_index = second_to_last_leaf_index + 1;
            MmrMembershipProof::update_from_append(
                &mut real_membership_proof_second_to_last,
                second_to_last_leaf_index,
                mmr.num_leafs(),
                last_leaf,
                &mmr.peaks(),
            );
            let real_membership_proof_last = mmr.append(last_leaf);

            // Positive tests
            prop_verify_from_memory(
                &mmr,
                second_to_last_leaf,
                second_to_last_leaf_index,
                real_membership_proof_second_to_last
                    .authentication_path
                    .clone(),
                true,
            );
            prop_verify_from_memory(
                &mmr,
                last_leaf,
                last_leaf_index,
                real_membership_proof_last.authentication_path.clone(),
                true,
            );

            // Negative tests
            let bad_leaf: Digest = thread_rng().gen();
            prop_verify_from_memory(
                &mmr,
                bad_leaf,
                second_to_last_leaf_index,
                real_membership_proof_second_to_last.authentication_path,
                false,
            );
            prop_verify_from_memory(
                &mmr,
                bad_leaf,
                last_leaf_index,
                real_membership_proof_last.authentication_path,
                false,
            );
        }
    }

    fn prop_verify_from_memory(
        mmr: &MmrAccumulator,
        leaf: Digest,
        leaf_index: u64,
        auth_path: Vec<Digest>,
        expect_validation_success: bool,
    ) {
        let snippet = MmrVerifyFromMemory;
        let exec_state = snippet.prepare_vm_state(mmr, leaf, leaf_index, auth_path.clone());

        let init_stack = exec_state.stack;

        // AFTER: _ *auth_path leaf_index_hi leaf_index_lo validation_result
        let mut expected_final_stack = empty_stack();
        expected_final_stack.push(BFieldElement::new(expect_validation_success as u64));

        test_rust_equivalence_given_input_values_deprecated(
            &snippet,
            &init_stack,
            &[],
            exec_state.nondeterminism.ram,
            Some(&expected_final_stack),
        );

        // Verify that auth path expectation was correct
        assert_eq!(
            expect_validation_success,
            MmrMembershipProof::new(auth_path).verify(
                leaf_index,
                leaf,
                &mmr.peaks(),
                mmr.num_leafs(),
            )
        );
    }
}

#[cfg(test)]
mod benches {
    use super::*;
    use crate::snippet_bencher::bench_and_write;

    #[test]
    fn verify_from_memory_benchmark() {
        bench_and_write(MmrVerifyFromMemory);
    }
}