Measure performance of exp in G, N, and N^2 #119

survived · 2024-11-25T11:17:44Z

In the paper, authors give estimation of performance of each protocol based on cost of point mult, and exp in $N$, $N^2$.

From my benchmarks on my computer:

Point multiplication takes 50.347 µs
$x^e \bmod N$
- $\left | e \right | = \left | q \right | = 256$, 508.87 µs
- $\left | e \right | = \ell + \varepsilon = 486$, 945.65 µs
- $\left | e \right | = \ell' + \varepsilon = 1078$, 2.0480 ms
$x^e \bmod N^2$
- $\left | e \right | = \ell = 256$, 1.8894 ms
- $\left | e \right | = \ell + \varepsilon = 486$, 3.5165 ms
- $\left | e \right | = \left | N \right | = 3072$, 21.270 ms

The paper says that estimation of presigning perf is:

$$n \cdot (12G + 56N + 33N^2) = 2.4 \text{sec}$$

(if we take the highest cost per $N$ and $N^2$)

The actual perf of presigning on my computer is 2.71s which is pretty close.

It's a bit strange that actual perf is higher than the estimation: I expected the estimation to be an upper bound of the performance as not always we do exponentiation with the highest exponent size, sometimes it's optimized with CRT, etc. Probably, perf estimation doesn't take into account some of the computations.

Signed-off-by: Denis Varlakov <[email protected]>

github-actions · 2024-11-25T11:18:04Z

Crate direct deps

Direct deps

cggmp21-keygen v0.4.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/cggmp21-keygen)
digest v0.10.6
futures v0.3.24
generic-ec v0.4.1
generic-ec-zkp v0.4.1
hex v0.4.3
key-share v0.5.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/key-share)
paillier-zk v0.4.1
rand_core v0.6.4
rand_hash v0.1.0
round-based v0.3.0
serde v1.0.193
serde_with v2.3.3
sha2 v0.10.6
thiserror v1.0.48
udigest v0.2.1

Compared to base branch

Diff

--- direct-deps-base	2024-11-25 11:31:30.662068856 +0000
+++ direct-deps-pr	2024-11-25 11:31:31.046072836 +0000
@@ -1 +1 @@
-cggmp21-keygen v0.4.0 (/home/runner/work/cggmp21/cggmp21/base_branch/cggmp21-keygen)
+cggmp21-keygen v0.4.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/cggmp21-keygen)
@@ -7 +7 @@
-key-share v0.5.0 (/home/runner/work/cggmp21/cggmp21/base_branch/key-share)
+key-share v0.5.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/key-share)

All deps

cargo tree

cggmp21 v0.5.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/cggmp21)
├── cggmp21-keygen v0.4.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/cggmp21-keygen)
│   ├── digest v0.10.6
│   │   ├── block-buffer v0.10.3
│   │   │   └── generic-array v0.14.6
│   │   │       ├── serde v1.0.193
│   │   │       │   └── serde_derive v1.0.193 (proc-macro)
│   │   │       │       ├── proc-macro2 v1.0.66
│   │   │       │       │   └── unicode-ident v1.0.4
│   │   │       │       ├── quote v1.0.33
│   │   │       │       │   └── proc-macro2 v1.0.66 (*)
│   │   │       │       └── syn v2.0.32
│   │   │       │           ├── proc-macro2 v1.0.66 (*)
│   │   │       │           ├── quote v1.0.33 (*)
│   │   │       │           └── unicode-ident v1.0.4
│   │   │       └── typenum v1.15.0
│   │   └── crypto-common v0.1.6
│   │       ├── generic-array v0.14.6 (*)
│   │       └── typenum v1.15.0
│   ├── displaydoc v0.2.4 (proc-macro)
│   │   ├── proc-macro2 v1.0.66 (*)
│   │   ├── quote v1.0.33 (*)
│   │   └── syn v2.0.32 (*)
│   ├── generic-ec v0.4.1
│   │   ├── digest v0.10.6 (*)
│   │   ├── generic-ec-core v0.2.0
│   │   │   ├── generic-array v0.14.6 (*)
│   │   │   ├── rand_core v0.6.4
│   │   │   ├── serde v1.0.193 (*)
│   │   │   ├── subtle v2.4.1
│   │   │   └── zeroize v1.6.0
│   │   │       └── zeroize_derive v1.3.2 (proc-macro)
│   │   │           ├── proc-macro2 v1.0.66 (*)
│   │   │           ├── quote v1.0.33 (*)
│   │   │           ├── syn v1.0.101
│   │   │           │   ├── proc-macro2 v1.0.66 (*)
│   │   │           │   ├── quote v1.0.33 (*)
│   │   │           │   └── unicode-ident v1.0.4
│   │   │           └── synstructure v0.12.6
│   │   │               ├── proc-macro2 v1.0.66 (*)
│   │   │               ├── quote v1.0.33 (*)
│   │   │               ├── syn v1.0.101 (*)
│   │   │               └── unicode-xid v0.2.4
│   │   ├── hex v0.4.3
│   │   │   └── serde v1.0.193 (*)
│   │   ├── phantom-type v0.4.2
│   │   │   └── educe v0.4.19 (proc-macro)
│   │   │       ├── enum-ordinalize v3.1.11 (proc-macro)
│   │   │       │   ├── num-bigint v0.4.3
│   │   │       │   │   ├── num-integer v0.1.45
│   │   │       │   │   │   └── num-traits v0.2.15
│   │   │       │   │   └── num-traits v0.2.15
│   │   │       │   ├── num-traits v0.2.15
│   │   │       │   ├── proc-macro2 v1.0.66 (*)
│   │   │       │   ├── quote v1.0.33 (*)
│   │   │       │   └── syn v1.0.101 (*)
│   │   │       ├── proc-macro2 v1.0.66 (*)
│   │   │       ├── quote v1.0.33 (*)
│   │   │       └── syn v1.0.101 (*)
│   │   ├── rand_core v0.6.4
│   │   ├── rand_hash v0.1.0
│   │   │   ├── digest v0.10.6 (*)
│   │   │   ├── rand_core v0.6.4
│   │   │   └── udigest v0.2.1
│   │   │       ├── digest v0.10.6 (*)
│   │   │       └── udigest-derive v0.3.0 (proc-macro)
│   │   │           ├── proc-macro2 v1.0.66 (*)
│   │   │           ├── quote v1.0.33 (*)
│   │   │           └── syn v2.0.32 (*)
│   │   ├── serde v1.0.193 (*)
│   │   ├── serde_with v2.3.3
│   │   │   ├── serde v1.0.193 (*)
│   │   │   └── serde_with_macros v2.3.3 (proc-macro)
│   │   │       ├── darling v0.20.1
│   │   │       │   ├── darling_core v0.20.1
│   │   │       │   │   ├── fnv v1.0.7
│   │   │       │   │   ├── ident_case v1.0.1
│   │   │       │   │   ├── proc-macro2 v1.0.66 (*)
│   │   │       │   │   ├── quote v1.0.33 (*)
│   │   │       │   │   ├── strsim v0.10.0
│   │   │       │   │   └── syn v2.0.32 (*)
│   │   │       │   └── darling_macro v0.20.1 (proc-macro)
│   │   │       │       ├── darling_core v0.20.1 (*)
│   │   │       │       ├── quote v1.0.33 (*)
│   │   │       │       └── syn v2.0.32 (*)
│   │   │       ├── proc-macro2 v1.0.66 (*)
│   │   │       ├── quote v1.0.33 (*)
│   │   │       └── syn v2.0.32 (*)
│   │   ├── subtle v2.4.1
│   │   ├── udigest v0.2.1 (*)
│   │   └── zeroize v1.6.0 (*)
│   ├── generic-ec-zkp v0.4.1
│   │   ├── generic-array v0.14.6 (*)
│   │   ├── generic-ec v0.4.1 (*)
│   │   ├── rand_core v0.6.4
│   │   ├── serde v1.0.193 (*)
│   │   ├── subtle v2.4.1
│   │   └── udigest v0.2.1 (*)
│   ├── hex v0.4.3 (*)
│   ├── key-share v0.5.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/key-share)
│   │   ├── displaydoc v0.2.4 (proc-macro) (*)
│   │   ├── generic-ec v0.4.1 (*)
│   │   ├── generic-ec-zkp v0.4.1 (*)
│   │   ├── hex v0.4.3 (*)
│   │   ├── serde v1.0.193 (*)
│   │   ├── serde_with v2.3.3 (*)
│   │   └── thiserror v1.0.48
│   │       └── thiserror-impl v1.0.48 (proc-macro)
│   │           ├── proc-macro2 v1.0.66 (*)
│   │           ├── quote v1.0.33 (*)
│   │           └── syn v2.0.32 (*)
│   ├── rand_core v0.6.4
│   ├── round-based v0.3.0
│   │   ├── displaydoc v0.2.4 (proc-macro) (*)
│   │   ├── futures-util v0.3.24
│   │   │   ├── futures-channel v0.3.24
│   │   │   │   ├── futures-core v0.3.24
│   │   │   │   └── futures-sink v0.3.24
│   │   │   ├── futures-core v0.3.24
│   │   │   ├── futures-io v0.3.24
│   │   │   ├── futures-macro v0.3.24 (proc-macro)
│   │   │   │   ├── proc-macro2 v1.0.66 (*)
│   │   │   │   ├── quote v1.0.33 (*)
│   │   │   │   └── syn v1.0.101 (*)
│   │   │   ├── futures-sink v0.3.24
│   │   │   ├── futures-task v0.3.24
│   │   │   ├── memchr v2.5.0
│   │   │   ├── pin-project-lite v0.2.9
│   │   │   ├── pin-utils v0.1.0
│   │   │   └── slab v0.4.7
│   │   ├── phantom-type v0.3.1
│   │   │   └── educe v0.4.19 (proc-macro) (*)
│   │   ├── round-based-derive v0.2.1 (proc-macro)
│   │   │   ├── proc-macro2 v1.0.66 (*)
│   │   │   ├── quote v1.0.33 (*)
│   │   │   └── syn v1.0.101 (*)
│   │   ├── thiserror v1.0.48 (*)
│   │   └── tracing v0.1.36
│   │       ├── cfg-if v1.0.0
│   │       ├── pin-project-lite v0.2.9
│   │       └── tracing-core v0.1.29
│   ├── serde v1.0.193 (*)
│   ├── serde_with v2.3.3 (*)
│   ├── sha2 v0.10.6
│   │   ├── cfg-if v1.0.0
│   │   ├── cpufeatures v0.2.12
│   │   └── digest v0.10.6 (*)
│   ├── thiserror v1.0.48 (*)
│   └── udigest v0.2.1 (*)
├── digest v0.10.6 (*)
├── futures v0.3.24
│   ├── futures-channel v0.3.24 (*)
│   ├── futures-core v0.3.24
│   ├── futures-executor v0.3.24
│   │   ├── futures-core v0.3.24
│   │   ├── futures-task v0.3.24
│   │   └── futures-util v0.3.24 (*)
│   ├── futures-io v0.3.24
│   ├── futures-sink v0.3.24
│   ├── futures-task v0.3.24
│   └── futures-util v0.3.24 (*)
├── generic-ec v0.4.1 (*)
├── generic-ec-zkp v0.4.1 (*)
├── hex v0.4.3 (*)
├── key-share v0.5.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/key-share) (*)
├── paillier-zk v0.4.1
│   ├── digest v0.10.6 (*)
│   ├── fast-paillier v0.1.0
│   │   ├── bytemuck v1.13.1
│   │   │   └── bytemuck_derive v1.4.1 (proc-macro)
│   │   │       ├── proc-macro2 v1.0.66 (*)
│   │   │       ├── quote v1.0.33 (*)
│   │   │       └── syn v2.0.32 (*)
│   │   ├── rand_core v0.6.4
│   │   ├── rug v1.21.0
│   │   │   ├── az v1.2.1
│   │   │   ├── gmp-mpfr-sys v1.6.1
│   │   │   │   └── libc v0.2.153
│   │   │   ├── libc v0.2.153
│   │   │   └── serde v1.0.193 (*)
│   │   ├── serde v1.0.193 (*)
│   │   └── thiserror v1.0.48 (*)
│   ├── generic-ec v0.4.1 (*)
│   ├── rand_core v0.6.4
│   ├── rand_hash v0.1.0 (*)
│   ├── rug v1.21.0 (*)
│   ├── serde v1.0.193 (*)
│   ├── serde_with v3.0.0
│   │   ├── serde v1.0.193 (*)
│   │   └── serde_with_macros v3.0.0 (proc-macro)
│   │       ├── darling v0.20.1 (*)
│   │       ├── proc-macro2 v1.0.66 (*)
│   │       ├── quote v1.0.33 (*)
│   │       └── syn v2.0.32 (*)
│   ├── thiserror v1.0.48 (*)
│   └── udigest v0.2.1 (*)
├── rand_core v0.6.4
├── rand_hash v0.1.0 (*)
├── round-based v0.3.0 (*)
├── serde v1.0.193 (*)
├── serde_with v2.3.3 (*)
├── sha2 v0.10.6 (*)
├── thiserror v1.0.48 (*)
└── udigest v0.2.1 (*)

Compared to base branch

Diff

--- all-deps-base	2024-11-25 11:31:30.806070348 +0000
+++ all-deps-pr	2024-11-25 11:31:31.186074287 +0000
@@ -6 +6 @@
-cggmp21-keygen v0.4.0 (/home/runner/work/cggmp21/cggmp21/base_branch/cggmp21-keygen)
+cggmp21-keygen v0.4.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/cggmp21-keygen)
@@ -34 +34 @@
-key-share v0.5.0 (/home/runner/work/cggmp21/cggmp21/base_branch/key-share)
+key-share v0.5.0 (/home/runner/work/cggmp21/cggmp21/pr_branch/key-share)

github-actions · 2024-11-25T11:19:58Z

The spec was successfully compiled. PDF is available here.

github-actions · 2024-11-25T11:21:25Z

Benchmark Result

Benchmarks

RUST_TESTS_SEED=c1f0e3a98b5293e131e6051a7242f49d44ee382aec9466ae2afa92b85b748d25
n = 3

Non-threshold DKG
Protocol Performance:
  - Protocol took 454.77µs to complete
In particular:
  - Stage: 9.14µs
    - Setup networking: 8.63µs (94.4%)
    - Unstaged: 511.00ns (5.6%)
  - Round 1: 144.14µs
    - Sample x_i, rid_i, chain_code: 63.82µs (44.3%)
    - Sample schnorr commitment: 57.87µs (40.1%)
    - Commit to public data: 22.17µs (15.4%)
    - Unstaged: 282.00ns (0.2%)
  - Round 2: 1.23µs
    - Hash received msgs (reliability check): 1.05µs (85.4%)
    - Unstaged: 180.00ns (14.6%)
  - Round 3: 2.06µs
    - Assert other parties hashed messages (reliability check): 1.94µs (94.2%)
    - Unstaged: 120.00ns (5.8%)
  - Round 4: 36.07µs
    - Validate decommitments: 32.79µs (90.9%)
    - Calculate chain_code: 932.00ns (2.6%)
    - Calculate challege rid: 1.98µs (5.5%)
    - Prove knowledge of `x_i`: 240.00ns (0.7%)
    - Unstaged: 120.00ns (0.3%)
  - Round 5: 262.13µs
    - Validate schnorr proofs: 261.85µs (99.9%)
    - Unstaged: 281.00ns (0.1%)


Threshold DKG
Protocol Performance:
  - Protocol took 1.29ms to complete
In particular:
  - Stage: 2.08µs
    - Setup networking: 2.01µs (96.6%)
    - Unstaged: 70.00ns (3.4%)
  - Round 1: 201.18µs
    - Sample rid_i, schnorr commitment, polynomial, chain_code: 175.47µs (87.2%)
    - Commit to public data: 25.47µs (12.7%)
    - Unstaged: 241.00ns (0.1%)
  - Round 2: 1.29µs
    - Hash received msgs (reliability check): 1.13µs (87.6%)
    - Unstaged: 160.00ns (12.4%)
  - Round 3: 350.00ns
    - Assert other parties hashed messages (reliability check): 220.00ns (62.9%)
    - Unstaged: 130.00ns (37.1%)
  - Round 4: 783.74µs
    - Validate decommitments: 48.66µs (6.2%)
    - Validate data size: 301.00ns (0.0%)
    - Validate Feldmann VSS: 348.49µs (44.5%)
    - Compute rid: 140.00ns (0.0%)
    - Compute chain_code: 972.00ns (0.1%)
    - Compute Ys: 350.05µs (44.7%)
    - Compute sigma: 350.00ns (0.0%)
    - Calculate challenge: 32.32µs (4.1%)
    - Prove knowledge of `sigma_i`: 2.32µs (0.3%)
    - Unstaged: 130.00ns (0.0%)
  - Round 5: 297.44µs
    - Validate schnorr proofs: 296.20µs (99.6%)
    - Derive resulting public key and other data: 1.04µs (0.4%)
    - Unstaged: 201.00ns (0.1%)


Auxiliary data generation protocol
Protocol Performance:
  - Protocol took 9.53s to complete
In particular:
  - Stage: 13.03µs
    - Retrieve auxiliary data: 141.00ns (1.1%)
    - Setup networking: 12.84µs (98.6%)
    - Unstaged: 40.00ns (0.3%)
  - Round 1: 1.17s
    - Retrieve primes (p and q): 110.00ns (0.0%)
    - Compute paillier decryption key (N): 6.15µs (0.0%)
    - Generate auxiliary params r, λ, t, s: 9.07ms (0.8%)
    - Prove Πprm (ψˆ_i): 1.16s (99.2%)
    - Sample random bytes: 2.78µs (0.0%)
    - Compute hash commitment and sample decommitment: 270.44µs (0.0%)
    - Unstaged: 220.00ns (0.0%)
  - Round 2: 1.55µs
    - Hash received msgs (reliability check): 1.19µs (76.8%)
    - Unstaged: 360.00ns (23.2%)
  - Round 3: 572.00ns
    - Assert other parties hashed messages (reliability check): 391.00ns (68.4%)
    - Unstaged: 181.00ns (31.6%)
  - Round 4: 5.88s
    - Validate round 1 decommitments: 537.71µs (0.0%)
    - Validate П_prm (ψ_i): 2.27s (38.7%)
    - Add together shared random bytes: 1.07µs (0.0%)
    - Compute П_mod (ψ_i): 3.43s (58.4%)
    - Assemble security params for П_fac (ф_i): 5.27µs (0.0%)
    - Compute П_fac (ф_i^j): 172.07ms (2.9%)
    - Unstaged: 889.00ns (0.0%)
  - Round 5: 2.48s
    - Validate ψ_j (П_mod): 2.31s (93.0%)
    - Validate ф_j (П_fac): 172.45ms (7.0%)
    - Assemble auxiliary info: 147.01µs (0.0%)
    - Unstaged: 1.09µs (0.0%)


Signing protocol
Protocol Performance:
  - Protocol took 4.16s to complete
In particular:
  - Stage: 140.72µs
    - Map t-out-of-n protocol to t-out-of-t: 70.62µs (50.2%)
    - Retrieve auxiliary data: 65.85µs (46.8%)
    - Precompute execution id and security params: 441.00ns (0.3%)
    - Setup networking: 3.70µs (2.6%)
    - Unstaged: 110.00ns (0.1%)
  - Round 1: 188.42ms
    - Generate local ephemeral secrets (k_i, y_i, p_i, v_i): 49.25µs (0.0%)
    - Encrypt G_i and K_i: 107.40ms (57.0%)
    - Prove ψ0_j: 80.97ms (43.0%)
    - Unstaged: 642.00ns (0.0%)
  - Round 2: 14.17µs
    - Hash received msgs (reliability check): 13.89µs (98.0%)
    - Unstaged: 281.00ns (2.0%)
  - Round 3: 2.23s
    - Assert other parties hashed messages (reliability check): 1.29µs (0.0%)
    - Verify psi0 proofs: 268.55ms (12.1%)
    - Sample random r, hat_r, s, hat_s, beta, hat_beta: 17.46µs (0.0%)
    - Encrypt D_ji: 70.21ms (3.2%)
    - Encrypt F_ji: 35.83ms (1.6%)
    - Encrypt hat_D_ji: 558.91ms (25.1%)
    - Encrypt hat_F_ji: 35.76ms (1.6%)
    - Prove psi_ji: 789.86ms (35.5%)
    - Prove psiˆ_ji: 208.90ms (9.4%)
    - Prove psi_prime_ji : 257.52ms (11.6%)
    - Unstaged: 2.02µs (0.0%)
  - Round 4: 1.56s
    - Retrieve auxiliary data: 5.76µs (0.0%)
    - Validate psi: 165.61ms (10.6%)
    - Validate hat_psi: 165.10ms (10.6%)
    - Validate psi_prime: 933.87ms (59.8%)
    - Compute Gamma, Delta_i, delta_i, chi_i: 214.92ms (13.8%)
    - Prove psi_prime_prime: 81.23ms (5.2%)
    - Unstaged: 672.00ns (0.0%)
  - Presig output: 186.22ms
    - Validate psi_prime_prime: 186.08ms (99.9%)
    - Calculate presignature: 132.84µs (0.1%)
    - Unstaged: 1.22µs (0.0%)
  - Partial signing: 8.12µs
  - Signature reconstruction: 196.83µs

Signed-off-by: Denis Varlakov <[email protected]>

Measure performance of exp in G, N, and N^2

e2ecb7f

Signed-off-by: Denis Varlakov <[email protected]>

survived marked this pull request as ready for review November 25, 2024 11:26

survived requested a review from maurges November 25, 2024 11:29

Update bench

04bc4a9

Signed-off-by: Denis Varlakov <[email protected]>

maurges approved these changes Nov 25, 2024

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survived merged commit 1eaebae into m Nov 25, 2024
18 of 19 checks passed

survived deleted the perf_primitives branch November 25, 2024 15:31

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Measure performance of exp in G, N, and N^2 #119

Measure performance of exp in G, N, and N^2 #119

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Measure performance of exp in G, N, and N^2 #119

Measure performance of exp in G, N, and N^2 #119

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Crate direct deps

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All deps

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Benchmark Result

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