From 2b333d642c6172a42717546f917912dd1923116f Mon Sep 17 00:00:00 2001 From: Jack Grigg Date: Thu, 20 Jan 2022 15:05:10 +0000 Subject: [PATCH 1/4] pasta_curves 0.3 The MSRV is now 1.54.0, because reddsa 0.2.0 included a fix to its nightly CI that inadvertently bumped its MSRV. The `halo2` crate is now the `halo2_proofs` crate, but we're avoiding the cross-repo crate rename until after `halo2_gadgets` is extracted. This also brings in the 20% prover performance improvement from zcash/halo2#447. --- .github/workflows/bench.yml | 2 +- .github/workflows/ci.yml | 10 +++++----- .github/workflows/lints-stable.yml | 6 +++--- CHANGELOG.md | 8 +++++++- Cargo.toml | 7 ++++--- README.md | 2 +- rust-toolchain | 2 +- src/circuit.rs | 14 +++++--------- src/circuit/gadget/ecc/chip/mul_fixed.rs | 2 ++ 9 files changed, 29 insertions(+), 24 deletions(-) diff --git a/.github/workflows/bench.yml b/.github/workflows/bench.yml index 4830b3e4..d4d2c66c 100644 --- a/.github/workflows/bench.yml +++ b/.github/workflows/bench.yml @@ -16,7 +16,7 @@ jobs: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: - toolchain: 1.51.0 + toolchain: 1.54.0 override: true - name: Run benchmark run: cargo bench -- --output-format bencher | tee output.txt diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 9c9d7a47..7f0a5a8f 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -14,7 +14,7 @@ jobs: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: - toolchain: 1.51.0 + toolchain: 1.54.0 override: true - name: Run tests uses: actions-rs/cargo@v1 @@ -30,7 +30,7 @@ jobs: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: - toolchain: 1.51.0 + toolchain: 1.54.0 override: true # Build benchmarks to prevent bitrot - name: Build benchmarks @@ -46,7 +46,7 @@ jobs: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: - toolchain: 1.51.0 + toolchain: 1.54.0 override: true - name: Setup mdBook uses: peaceiris/actions-mdbook@v1 @@ -89,7 +89,7 @@ jobs: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: - toolchain: 1.51.0 + toolchain: 1.54.0 override: true - name: cargo fetch uses: actions-rs/cargo@v1 @@ -112,7 +112,7 @@ jobs: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: - toolchain: 1.51.0 + toolchain: 1.54.0 override: true - run: rustup component add rustfmt - uses: actions-rs/cargo@v1 diff --git a/.github/workflows/lints-stable.yml b/.github/workflows/lints-stable.yml index d9d6c3e6..e91ea098 100644 --- a/.github/workflows/lints-stable.yml +++ b/.github/workflows/lints-stable.yml @@ -5,19 +5,19 @@ on: pull_request jobs: clippy: - name: Clippy (1.51.0) + name: Clippy (1.54.0) timeout-minutes: 30 runs-on: ubuntu-latest steps: - uses: actions/checkout@v2 - uses: actions-rs/toolchain@v1 with: - toolchain: 1.51.0 + toolchain: 1.54.0 components: clippy override: true - name: Run Clippy uses: actions-rs/clippy-check@v1 with: - name: Clippy (1.51.0) + name: Clippy (1.54.0) token: ${{ secrets.GITHUB_TOKEN }} args: --all-features --all-targets -- -D warnings diff --git a/CHANGELOG.md b/CHANGELOG.md index df364a5c..aa112d59 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -8,7 +8,13 @@ and this project adheres to Rust's notion of ## [Unreleased] ### Changed -- pass in an additional `rng: impl RngCore` argument to `builder::InProgress::create_proof`, `builder::Bundle::create_proof`, `circuit::Proof::create`. +- MSRV is now 1.54.0. +- Bumped dependencies to `pasta_curves 0.3`. +- The following methods now have an additional `rng: impl RngCore` argument: + - `orchard::builder::Bundle::create_proof` + - `orchard::builder::InProgress::create_proof` + - `orchard::circuit::Proof::create` + ### Removed - `orchard::value::ValueSum::from_raw` diff --git a/Cargo.toml b/Cargo.toml index 874efa1c..277ee80f 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -33,10 +33,10 @@ group = "0.11" halo2 = "=0.1.0-beta.1" lazy_static = "1" memuse = { version = "0.2", features = ["nonempty"] } -pasta_curves = "0.2.1" +pasta_curves = "0.3" proptest = { version = "1.0.0", optional = true } rand = "0.8" -reddsa = "0.1" +reddsa = "0.2" nonempty = "0.7" serde = { version = "1.0", features = ["derive"] } subtle = "2.3" @@ -89,4 +89,5 @@ debug = true debug = true [patch.crates-io] -halo2 = { git = "https://github.com/zcash/halo2.git", rev = "f9b3ff2aef09a5a3cb5489d0e7e747e9523d2e6e" } +# halo2_proofs = { git = "https://github.com/zcash/halo2.git", branch = "halo2_gadgets-import" } +# halo2_gadgets = { git = "https://github.com/zcash/halo2.git", branch = "halo2_gadgets-import" } diff --git a/README.md b/README.md index f4368715..423bdd69 100644 --- a/README.md +++ b/README.md @@ -2,7 +2,7 @@ **IMPORTANT**: This library is being actively developed and should not be used in production software. -Requires Rust 1.51+. +Requires Rust 1.54+. ## Documentation diff --git a/rust-toolchain b/rust-toolchain index ba0a7191..b7921ae8 100644 --- a/rust-toolchain +++ b/rust-toolchain @@ -1 +1 @@ -1.51.0 +1.54.0 diff --git a/src/circuit.rs b/src/circuit.rs index b1e8af3c..e50d1f8f 100644 --- a/src/circuit.rs +++ b/src/circuit.rs @@ -3,7 +3,9 @@ use group::{Curve, GroupEncoding}; use halo2::{ circuit::{floor_planner, AssignedCell, Layouter}, - plonk::{self, Advice, Column, Expression, Instance as InstanceColumn, Selector}, + plonk::{ + self, Advice, Column, Expression, Instance as InstanceColumn, Selector, SingleVerifier, + }, poly::Rotation, transcript::{Blake2bRead, Blake2bWrite}, }; @@ -873,15 +875,9 @@ impl Proof { .collect(); let instances: Vec<_> = instances.iter().map(|i| &i[..]).collect(); - let msm = vk.params.empty_msm(); + let strategy = SingleVerifier::new(&vk.params); let mut transcript = Blake2bRead::init(&self.0[..]); - let guard = plonk::verify_proof(&vk.params, &vk.vk, msm, &instances, &mut transcript)?; - let msm = guard.clone().use_challenges(); - if msm.eval() { - Ok(()) - } else { - Err(plonk::Error::ConstraintSystemFailure) - } + plonk::verify_proof(&vk.params, &vk.vk, strategy, &instances, &mut transcript) } /// Constructs a new Proof value. diff --git a/src/circuit/gadget/ecc/chip/mul_fixed.rs b/src/circuit/gadget/ecc/chip/mul_fixed.rs index 89a44bd9..4d6b1ffc 100644 --- a/src/circuit/gadget/ecc/chip/mul_fixed.rs +++ b/src/circuit/gadget/ecc/chip/mul_fixed.rs @@ -491,6 +491,8 @@ impl ScalarFixed { .iter() .map(|window| { if let Some(window) = window { + // TODO: Remove this trait dependency + use pasta_curves::arithmetic::SqrtRatio; let window = window.get_lower_32() as usize; assert!(window < H); Some(window) From f300cea2c81caa7013f475a80818d4901a5331f7 Mon Sep 17 00:00:00 2001 From: Jack Grigg Date: Thu, 20 Jan 2022 15:16:45 +0000 Subject: [PATCH 2/4] Fix clippy lints These became stable lints between 1.51 and 1.54. --- src/bundle/commitments.rs | 6 +++--- src/keys.rs | 4 ++-- src/note.rs | 2 +- src/note_encryption.rs | 2 +- src/spec.rs | 2 +- 5 files changed, 8 insertions(+), 8 deletions(-) diff --git a/src/bundle/commitments.rs b/src/bundle/commitments.rs index 2b0334b0..d5dc17f3 100644 --- a/src/bundle/commitments.rs +++ b/src/bundle/commitments.rs @@ -55,9 +55,9 @@ where .unwrap(); } - h.write_all(&ch.finalize().as_bytes()).unwrap(); - h.write_all(&mh.finalize().as_bytes()).unwrap(); - h.write_all(&nh.finalize().as_bytes()).unwrap(); + h.write_all(ch.finalize().as_bytes()).unwrap(); + h.write_all(mh.finalize().as_bytes()).unwrap(); + h.write_all(nh.finalize().as_bytes()).unwrap(); h.write_all(&[bundle.flags().to_byte()]).unwrap(); h.write_all(&::from(bundle.value_balance()).to_le_bytes()) .unwrap(); diff --git a/src/keys.rs b/src/keys.rs index ad218b15..aeed64c1 100644 --- a/src/keys.rs +++ b/src/keys.rs @@ -227,7 +227,7 @@ impl NullifierDerivingKey { } /// Converts this nullifier deriving key to its serialized form. - pub(crate) fn to_bytes(&self) -> [u8; 32] { + pub(crate) fn to_bytes(self) -> [u8; 32] { <[u8; 32]>::from(self.0) } @@ -262,7 +262,7 @@ impl CommitIvkRandomness { } /// Converts this nullifier deriving key to its serialized form. - pub(crate) fn to_bytes(&self) -> [u8; 32] { + pub(crate) fn to_bytes(self) -> [u8; 32] { <[u8; 32]>::from(self.0) } diff --git a/src/note.rs b/src/note.rs index de318194..229bdef2 100644 --- a/src/note.rs +++ b/src/note.rs @@ -39,7 +39,7 @@ impl RandomSeed { CtOption::new(rseed, esk.is_some()) } - pub(crate) fn to_bytes(&self) -> &[u8; 32] { + pub(crate) fn as_bytes(&self) -> &[u8; 32] { &self.0 } diff --git a/src/note_encryption.rs b/src/note_encryption.rs index 2ae8f21f..b57c11f5 100644 --- a/src/note_encryption.rs +++ b/src/note_encryption.rs @@ -151,7 +151,7 @@ impl Domain for OrchardDomain { np[0] = 0x02; np[1..12].copy_from_slice(note.recipient().diversifer().as_array()); np[12..20].copy_from_slice(¬e.value().to_bytes()); - np[20..52].copy_from_slice(note.rseed().to_bytes()); + np[20..52].copy_from_slice(note.rseed().as_bytes()); np[52..].copy_from_slice(memo); NotePlaintextBytes(np) } diff --git a/src/spec.rs b/src/spec.rs index 7e4f3385..29677faa 100644 --- a/src/spec.rs +++ b/src/spec.rs @@ -73,7 +73,7 @@ impl NonZeroPallasBase { pallas::Base::from_repr(*bytes).and_then(NonZeroPallasBase::from_base) } - pub(crate) fn to_bytes(&self) -> [u8; 32] { + pub(crate) fn to_bytes(self) -> [u8; 32] { self.0.to_repr() } From f74cb9e4d3c616f723c73c10d6acf0a86e2a26cd Mon Sep 17 00:00:00 2001 From: therealyingtong Date: Fri, 28 Jan 2022 23:53:03 +0800 Subject: [PATCH 3/4] Delete gadgets and their primitives; add `halo2_gadgets` dependency. --- Cargo.toml | 17 +- benches/poseidon.rs | 253 - benches/primitives.rs | 70 - src/builder.rs | 8 +- src/bundle.rs | 2 +- src/circuit.rs | 71 +- src/circuit/commit_ivk.rs | 40 +- src/circuit/gadget.rs | 13 +- src/circuit/gadget/ecc.rs | 695 - src/circuit/gadget/ecc/chip.rs | 509 - src/circuit/gadget/ecc/chip/add.rs | 501 - src/circuit/gadget/ecc/chip/add_incomplete.rs | 204 - src/circuit/gadget/ecc/chip/constants.rs | 274 - src/circuit/gadget/ecc/chip/mul.rs | 566 - src/circuit/gadget/ecc/chip/mul/complete.rs | 195 - src/circuit/gadget/ecc/chip/mul/incomplete.rs | 343 - src/circuit/gadget/ecc/chip/mul/overflow.rs | 212 - src/circuit/gadget/ecc/chip/mul_fixed.rs | 505 - .../ecc/chip/mul_fixed/base_field_elem.rs | 520 - .../gadget/ecc/chip/mul_fixed/full_width.rs | 317 - .../gadget/ecc/chip/mul_fixed/short.rs | 617 - src/circuit/gadget/ecc/chip/witness_point.rs | 171 - src/circuit/gadget/poseidon.rs | 298 - src/circuit/gadget/poseidon/pow5.rs | 890 - src/circuit/gadget/sinsemilla.rs | 686 - src/circuit/gadget/sinsemilla/chip.rs | 328 - .../gadget/sinsemilla/chip/generator_table.rs | 104 - .../gadget/sinsemilla/chip/hash_to_point.rs | 450 - src/circuit/gadget/sinsemilla/merkle.rs | 324 - src/circuit/gadget/sinsemilla/merkle/chip.rs | 493 - src/circuit/gadget/sinsemilla/message.rs | 68 - src/circuit/gadget/utilities.rs | 432 - src/circuit/gadget/utilities/cond_swap.rs | 294 - .../gadget/utilities/decompose_running_sum.rs | 391 - .../gadget/utilities/lookup_range_check.rs | 628 - src/circuit/note_commit.rs | 48 +- src/constants/fixed_bases.rs | 2 +- src/constants/fixed_bases/commit_ivk_r.rs | 6 +- src/constants/fixed_bases/note_commit_r.rs | 6 +- src/constants/fixed_bases/nullifier_k.rs | 2 +- src/constants/fixed_bases/spend_auth_g.rs | 2 +- src/constants/fixed_bases/value_commit_r.rs | 2 +- src/constants/fixed_bases/value_commit_v.rs | 2 +- src/constants/sinsemilla.rs | 26 +- src/note/commitment.rs | 2 +- src/note/nullifier.rs | 2 +- src/primitives.rs | 2 - src/primitives/poseidon.rs | 397 - src/primitives/poseidon/fp.rs | 1426 -- src/primitives/poseidon/fq.rs | 1426 -- src/primitives/poseidon/grain.rs | 193 - src/primitives/poseidon/mds.rs | 123 - src/primitives/poseidon/p128pow5t3.rs | 313 - src/primitives/poseidon/test_vectors.rs | 1261 -- src/primitives/sinsemilla.rs | 293 - src/primitives/sinsemilla/addition.rs | 73 - src/primitives/sinsemilla/sinsemilla_s.rs | 14344 ---------------- src/spec.rs | 14 +- src/tree.rs | 2 +- 59 files changed, 124 insertions(+), 31332 deletions(-) delete mode 100644 benches/poseidon.rs delete mode 100644 benches/primitives.rs delete mode 100644 src/circuit/gadget/ecc.rs delete mode 100644 src/circuit/gadget/ecc/chip.rs delete mode 100644 src/circuit/gadget/ecc/chip/add.rs delete mode 100644 src/circuit/gadget/ecc/chip/add_incomplete.rs delete mode 100644 src/circuit/gadget/ecc/chip/constants.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul/complete.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul/incomplete.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul/overflow.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul_fixed.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul_fixed/base_field_elem.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul_fixed/full_width.rs delete mode 100644 src/circuit/gadget/ecc/chip/mul_fixed/short.rs delete mode 100644 src/circuit/gadget/ecc/chip/witness_point.rs delete mode 100644 src/circuit/gadget/poseidon.rs delete mode 100644 src/circuit/gadget/poseidon/pow5.rs delete mode 100644 src/circuit/gadget/sinsemilla.rs delete mode 100644 src/circuit/gadget/sinsemilla/chip.rs delete mode 100644 src/circuit/gadget/sinsemilla/chip/generator_table.rs delete mode 100644 src/circuit/gadget/sinsemilla/chip/hash_to_point.rs delete mode 100644 src/circuit/gadget/sinsemilla/merkle.rs delete mode 100644 src/circuit/gadget/sinsemilla/merkle/chip.rs delete mode 100644 src/circuit/gadget/sinsemilla/message.rs delete mode 100644 src/circuit/gadget/utilities.rs delete mode 100644 src/circuit/gadget/utilities/cond_swap.rs delete mode 100644 src/circuit/gadget/utilities/decompose_running_sum.rs delete mode 100644 src/circuit/gadget/utilities/lookup_range_check.rs delete mode 100644 src/primitives/poseidon.rs delete mode 100644 src/primitives/poseidon/fp.rs delete mode 100644 src/primitives/poseidon/fq.rs delete mode 100644 src/primitives/poseidon/grain.rs delete mode 100644 src/primitives/poseidon/mds.rs delete mode 100644 src/primitives/poseidon/p128pow5t3.rs delete mode 100644 src/primitives/poseidon/test_vectors.rs delete mode 100644 src/primitives/sinsemilla.rs delete mode 100644 src/primitives/sinsemilla/addition.rs delete mode 100644 src/primitives/sinsemilla/sinsemilla_s.rs diff --git a/Cargo.toml b/Cargo.toml index 277ee80f..5a3b4236 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -30,7 +30,8 @@ blake2b_simd = "1" ff = "0.11" fpe = "0.5" group = "0.11" -halo2 = "=0.1.0-beta.1" +halo2_gadgets = { version = "0.0", features = ["test-dependencies"] } +halo2_proofs = "=0.1.0-beta.1" lazy_static = "1" memuse = { version = "0.2", features = ["nonempty"] } pasta_curves = "0.3" @@ -59,17 +60,13 @@ pprof = { version = "=0.6.1", features = ["criterion", "flamegraph"] } bench = false [features] -dev-graph = ["halo2/dev-graph", "plotters"] +dev-graph = ["halo2_proofs/dev-graph", "plotters"] test-dependencies = ["proptest"] [[bench]] name = "note_decryption" harness = false -[[bench]] -name = "primitives" -harness = false - [[bench]] name = "small" harness = false @@ -78,10 +75,6 @@ harness = false name = "circuit" harness = false -[[bench]] -name = "poseidon" -harness = false - [profile.release] debug = true @@ -89,5 +82,5 @@ debug = true debug = true [patch.crates-io] -# halo2_proofs = { git = "https://github.com/zcash/halo2.git", branch = "halo2_gadgets-import" } -# halo2_gadgets = { git = "https://github.com/zcash/halo2.git", branch = "halo2_gadgets-import" } +halo2_proofs = { git = "https://github.com/zcash/halo2.git", rev = "5312343e6d68b1bdd141337b52a5b73cce752bff" } +halo2_gadgets = { git = "https://github.com/zcash/halo2.git", rev = "5312343e6d68b1bdd141337b52a5b73cce752bff" } diff --git a/benches/poseidon.rs b/benches/poseidon.rs deleted file mode 100644 index d8a3a328..00000000 --- a/benches/poseidon.rs +++ /dev/null @@ -1,253 +0,0 @@ -use ff::Field; -use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - pasta::Fp, - plonk::{ - create_proof, keygen_pk, keygen_vk, verify_proof, Advice, Circuit, Column, - ConstraintSystem, Error, - }, - poly::commitment::Params, - transcript::{Blake2bRead, Blake2bWrite, Challenge255}, -}; -use pasta_curves::{pallas, vesta}; - -use orchard::{ - circuit::gadget::poseidon::{Hash, Pow5Chip, Pow5Config}, - primitives::poseidon::{self, ConstantLength, Spec}, -}; -use std::convert::TryInto; -use std::marker::PhantomData; - -use criterion::{criterion_group, criterion_main, Criterion}; -use rand::rngs::OsRng; - -#[derive(Clone, Copy)] -struct HashCircuit -where - S: Spec + Clone + Copy, -{ - message: Option<[Fp; L]>, - // For the purpose of this test, witness the result. - // TODO: Move this into an instance column. - output: Option, - _spec: PhantomData, -} - -#[derive(Debug, Clone)] -struct MyConfig { - input: [Column; L], - poseidon_config: Pow5Config, -} - -impl Circuit - for HashCircuit -where - S: Spec + Copy + Clone, -{ - type Config = MyConfig; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - Self { - message: None, - output: None, - _spec: PhantomData, - } - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let state = (0..WIDTH).map(|_| meta.advice_column()).collect::>(); - let partial_sbox = meta.advice_column(); - - let rc_a = (0..WIDTH).map(|_| meta.fixed_column()).collect::>(); - let rc_b = (0..WIDTH).map(|_| meta.fixed_column()).collect::>(); - - meta.enable_constant(rc_b[0]); - - Self::Config { - input: state[..RATE].try_into().unwrap(), - poseidon_config: Pow5Chip::configure::( - meta, - state.try_into().unwrap(), - partial_sbox, - rc_a.try_into().unwrap(), - rc_b.try_into().unwrap(), - ), - } - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - let chip = Pow5Chip::construct(config.poseidon_config.clone()); - - let message = layouter.assign_region( - || "load message", - |mut region| { - let message_word = |i: usize| { - let value = self.message.map(|message_vals| message_vals[i]); - region.assign_advice( - || format!("load message_{}", i), - config.input[i], - 0, - || value.ok_or(Error::Synthesis), - ) - }; - - let message: Result, Error> = (0..L).map(message_word).collect(); - Ok(message?.try_into().unwrap()) - }, - )?; - - let hasher = Hash::<_, _, S, ConstantLength, WIDTH, RATE>::init( - chip, - layouter.namespace(|| "init"), - )?; - let output = hasher.hash(layouter.namespace(|| "hash"), message)?; - - layouter.assign_region( - || "constrain output", - |mut region| { - let expected_var = region.assign_advice( - || "load output", - config.input[0], - 0, - || self.output.ok_or(Error::Synthesis), - )?; - region.constrain_equal(output.cell(), expected_var.cell()) - }, - ) - } -} - -#[derive(Debug, Clone, Copy)] -struct MySpec; - -impl Spec for MySpec<3, 2> { - fn full_rounds() -> usize { - 8 - } - - fn partial_rounds() -> usize { - 56 - } - - fn sbox(val: Fp) -> Fp { - val.pow_vartime(&[5]) - } - - fn secure_mds() -> usize { - 0 - } -} - -impl Spec for MySpec<9, 8> { - fn full_rounds() -> usize { - 8 - } - - fn partial_rounds() -> usize { - 56 - } - - fn sbox(val: Fp) -> Fp { - val.pow_vartime(&[5]) - } - - fn secure_mds() -> usize { - 0 - } -} - -impl Spec for MySpec<12, 11> { - fn full_rounds() -> usize { - 8 - } - - fn partial_rounds() -> usize { - 56 - } - - fn sbox(val: Fp) -> Fp { - val.pow_vartime(&[5]) - } - - fn secure_mds() -> usize { - 0 - } -} - -const K: u32 = 6; - -fn bench_poseidon( - name: &str, - c: &mut Criterion, -) where - S: Spec + Copy + Clone, -{ - // Initialize the polynomial commitment parameters - let params: Params = Params::new(K); - - let empty_circuit = HashCircuit:: { - message: None, - output: None, - _spec: PhantomData, - }; - - // Initialize the proving key - let vk = keygen_vk(¶ms, &empty_circuit).expect("keygen_vk should not fail"); - let pk = keygen_pk(¶ms, vk, &empty_circuit).expect("keygen_pk should not fail"); - - let prover_name = name.to_string() + "-prover"; - let verifier_name = name.to_string() + "-verifier"; - - let mut rng = OsRng; - let message = (0..L) - .map(|_| pallas::Base::random(rng)) - .collect::>() - .try_into() - .unwrap(); - let output = poseidon::Hash::<_, S, ConstantLength, WIDTH, RATE>::init().hash(message); - - let circuit = HashCircuit:: { - message: Some(message), - output: Some(output), - _spec: PhantomData, - }; - - c.bench_function(&prover_name, |b| { - b.iter(|| { - // Create a proof - let mut transcript = Blake2bWrite::<_, _, Challenge255<_>>::init(vec![]); - create_proof(¶ms, &pk, &[circuit], &[&[]], &mut rng, &mut transcript) - .expect("proof generation should not fail") - }) - }); - - // Create a proof - let mut transcript = Blake2bWrite::<_, _, Challenge255<_>>::init(vec![]); - create_proof(¶ms, &pk, &[circuit], &[&[]], &mut rng, &mut transcript) - .expect("proof generation should not fail"); - let proof = transcript.finalize(); - - c.bench_function(&verifier_name, |b| { - b.iter(|| { - let msm = params.empty_msm(); - let mut transcript = Blake2bRead::<_, _, Challenge255<_>>::init(&proof[..]); - let guard = verify_proof(¶ms, pk.get_vk(), msm, &[&[]], &mut transcript).unwrap(); - let msm = guard.clone().use_challenges(); - assert!(msm.eval()); - }); - }); -} - -fn criterion_benchmark(c: &mut Criterion) { - bench_poseidon::, 3, 2, 2>("WIDTH = 3, RATE = 2", c); - bench_poseidon::, 9, 8, 8>("WIDTH = 9, RATE = 8", c); - bench_poseidon::, 12, 11, 11>("WIDTH = 12, RATE = 11", c); -} - -criterion_group!(benches, criterion_benchmark); -criterion_main!(benches); diff --git a/benches/primitives.rs b/benches/primitives.rs deleted file mode 100644 index e5cadd8a..00000000 --- a/benches/primitives.rs +++ /dev/null @@ -1,70 +0,0 @@ -use std::array; - -use criterion::{criterion_group, criterion_main, BenchmarkId, Criterion}; -use ff::Field; -use orchard::primitives::{ - poseidon::{self, ConstantLength, P128Pow5T3}, - sinsemilla, -}; - -use pasta_curves::pallas; -#[cfg(unix)] -use pprof::criterion::{Output, PProfProfiler}; -use rand::{rngs::OsRng, Rng}; - -fn bench_primitives(c: &mut Criterion) { - let mut rng = OsRng; - - { - let mut group = c.benchmark_group("Poseidon"); - - let message = [pallas::Base::random(rng), pallas::Base::random(rng)]; - - group.bench_function("2-to-1", |b| { - b.iter(|| { - poseidon::Hash::<_, P128Pow5T3, ConstantLength<2>, 3, 2>::init().hash(message) - }) - }); - } - - { - let mut group = c.benchmark_group("Sinsemilla"); - - let hasher = sinsemilla::HashDomain::new("hasher"); - let committer = sinsemilla::CommitDomain::new("committer"); - let bits: Vec = (0..1086).map(|_| rng.gen()).collect(); - let r = pallas::Scalar::random(rng); - - // Benchmark the input sizes we use in Orchard: - // - 510 bits for Commit^ivk - // - 520 bits for MerkleCRH - // - 1086 bits for NoteCommit - for size in array::IntoIter::new([510, 520, 1086]) { - group.bench_function(BenchmarkId::new("hash-to-point", size), |b| { - b.iter(|| hasher.hash_to_point(bits[..size].iter().cloned())) - }); - - group.bench_function(BenchmarkId::new("hash", size), |b| { - b.iter(|| hasher.hash(bits[..size].iter().cloned())) - }); - - group.bench_function(BenchmarkId::new("commit", size), |b| { - b.iter(|| committer.commit(bits[..size].iter().cloned(), &r)) - }); - - group.bench_function(BenchmarkId::new("short-commit", size), |b| { - b.iter(|| committer.commit(bits[..size].iter().cloned(), &r)) - }); - } - } -} - -#[cfg(unix)] -criterion_group! { - name = benches; - config = Criterion::default().with_profiler(PProfProfiler::new(100, Output::Flamegraph(None))); - targets = bench_primitives -} -#[cfg(not(unix))] -criterion_group!(benches, bench_primitives); -criterion_main!(benches); diff --git a/src/builder.rs b/src/builder.rs index a411dc30..35a9b2f7 100644 --- a/src/builder.rs +++ b/src/builder.rs @@ -31,14 +31,14 @@ pub enum Error { /// A bundle could not be built because required signatures were missing. MissingSignatures, /// An error occurred in the process of producing a proof for a bundle. - Proof(halo2::plonk::Error), + Proof(halo2_proofs::plonk::Error), /// An overflow error occurred while attempting to construct the value /// for a bundle. ValueSum(value::OverflowError), } -impl From for Error { - fn from(e: halo2::plonk::Error) -> Self { +impl From for Error { + fn from(e: halo2_proofs::plonk::Error) -> Self { Error::Proof(e) } } @@ -392,7 +392,7 @@ impl InProgress { pk: &ProvingKey, instances: &[Instance], rng: impl RngCore, - ) -> Result { + ) -> Result { Proof::create(pk, &self.proof.circuits, instances, rng) } } diff --git a/src/bundle.rs b/src/bundle.rs index 550b42ca..f9e3ad13 100644 --- a/src/bundle.rs +++ b/src/bundle.rs @@ -461,7 +461,7 @@ impl Bundle { } /// Verifies the proof for this bundle. - pub fn verify_proof(&self, vk: &VerifyingKey) -> Result<(), halo2::plonk::Error> { + pub fn verify_proof(&self, vk: &VerifyingKey) -> Result<(), halo2_proofs::plonk::Error> { self.authorization() .proof() .verify(vk, &self.to_instances()) diff --git a/src/circuit.rs b/src/circuit.rs index e50d1f8f..58ce9354 100644 --- a/src/circuit.rs +++ b/src/circuit.rs @@ -1,7 +1,7 @@ //! The Orchard Action circuit implementation. use group::{Curve, GroupEncoding}; -use halo2::{ +use halo2_proofs::{ circuit::{floor_planner, AssignedCell, Layouter}, plonk::{ self, Advice, Column, Expression, Instance as InstanceColumn, Selector, SingleVerifier, @@ -14,21 +14,6 @@ use pasta_curves::{arithmetic::CurveAffine, pallas, vesta}; use rand::RngCore; use self::commit_ivk::CommitIvkConfig; -use self::gadget::{ - ecc::{ - chip::{EccChip, EccConfig}, - FixedPoint, FixedPointBaseField, FixedPointShort, NonIdentityPoint, Point, - }, - poseidon::{Hash as PoseidonHash, Pow5Chip as PoseidonChip, Pow5Config as PoseidonConfig}, - sinsemilla::{ - chip::{SinsemillaChip, SinsemillaConfig}, - merkle::{ - chip::{MerkleChip, MerkleConfig}, - MerklePath, - }, - }, - utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, -}; use self::note_commit::NoteCommitConfig; use crate::{ constants::{ @@ -43,14 +28,27 @@ use crate::{ nullifier::Nullifier, ExtractedNoteCommitment, }, - primitives::{ - poseidon::{self, ConstantLength}, - redpallas::{SpendAuth, VerificationKey}, - }, + primitives::redpallas::{SpendAuth, VerificationKey}, spec::NonIdentityPallasPoint, tree::{Anchor, MerkleHashOrchard}, value::{NoteValue, ValueCommitTrapdoor, ValueCommitment}, }; +use halo2_gadgets::{ + ecc::{ + chip::{EccChip, EccConfig}, + FixedPoint, FixedPointBaseField, FixedPointShort, NonIdentityPoint, Point, + }, + poseidon::{Hash as PoseidonHash, Pow5Chip as PoseidonChip, Pow5Config as PoseidonConfig}, + primitives::poseidon::{self, ConstantLength}, + sinsemilla::{ + chip::{SinsemillaChip, SinsemillaConfig}, + merkle::{ + chip::{MerkleChip, MerkleConfig}, + MerklePath, + }, + }, + utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, +}; use std::convert::TryInto; @@ -398,13 +396,13 @@ impl plonk::Circuit for Circuit { // TODO: Replace with array::map once MSRV is 1.55.0. gen_const_array(|i| typed_path[i].inner()) }); - let merkle_inputs = MerklePath { - chip_1: config.merkle_chip_1(), - chip_2: config.merkle_chip_2(), - domain: OrchardHashDomains::MerkleCrh, - leaf_pos: self.pos, + let merkle_inputs = MerklePath::construct( + config.merkle_chip_1(), + config.merkle_chip_2(), + OrchardHashDomains::MerkleCrh, + self.pos, path, - }; + ); let leaf = cm_old.extract_p().inner().clone(); merkle_inputs.calculate_root(layouter.namespace(|| "MerkleCRH"), leaf)? }; @@ -717,14 +715,14 @@ impl plonk::Circuit for Circuit { /// The verifying key for the Orchard Action circuit. #[derive(Debug)] pub struct VerifyingKey { - params: halo2::poly::commitment::Params, + params: halo2_proofs::poly::commitment::Params, vk: plonk::VerifyingKey, } impl VerifyingKey { /// Builds the verifying key. pub fn build() -> Self { - let params = halo2::poly::commitment::Params::new(K); + let params = halo2_proofs::poly::commitment::Params::new(K); let circuit: Circuit = Default::default(); let vk = plonk::keygen_vk(¶ms, &circuit).unwrap(); @@ -736,14 +734,14 @@ impl VerifyingKey { /// The proving key for the Orchard Action circuit. #[derive(Debug)] pub struct ProvingKey { - params: halo2::poly::commitment::Params, + params: halo2_proofs::poly::commitment::Params, pk: plonk::ProvingKey, } impl ProvingKey { /// Builds the proving key. pub fn build() -> Self { - let params = halo2::poly::commitment::Params::new(K); + let params = halo2_proofs::poly::commitment::Params::new(K); let circuit: Circuit = Default::default(); let vk = plonk::keygen_vk(¶ms, &circuit).unwrap(); @@ -890,7 +888,7 @@ impl Proof { mod tests { use ff::Field; use group::GroupEncoding; - use halo2::dev::MockProver; + use halo2_proofs::dev::MockProver; use pasta_curves::pallas; use rand::rngs::OsRng; use std::iter; @@ -978,10 +976,11 @@ mod tests { // Test that the proof size is as expected. let expected_proof_size = { - let circuit_cost = halo2::dev::CircuitCost::::measure( - K as usize, - &circuits[0], - ); + let circuit_cost = + halo2_proofs::dev::CircuitCost::::measure( + K as usize, + &circuits[0], + ); assert_eq!(usize::from(circuit_cost.proof_size(1)), 4992); assert_eq!(usize::from(circuit_cost.proof_size(2)), 7264); usize::from(circuit_cost.proof_size(instances.len())) @@ -1042,7 +1041,7 @@ mod tests { rcm_new: None, rcv: None, }; - halo2::dev::CircuitLayout::default() + halo2_proofs::dev::CircuitLayout::default() .show_labels(false) .view_height(0..(1 << 11)) .render(K, &circuit, &root) diff --git a/src/circuit/commit_ivk.rs b/src/circuit/commit_ivk.rs index 4edfd1b6..50a1f534 100644 --- a/src/circuit/commit_ivk.rs +++ b/src/circuit/commit_ivk.rs @@ -1,20 +1,18 @@ -use halo2::{ +use halo2_proofs::{ circuit::{AssignedCell, Layouter}, plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector}, poly::Rotation, }; use pasta_curves::{arithmetic::FieldExt, pallas}; -use crate::{ - circuit::gadget::{ - ecc::{chip::EccChip, X}, - sinsemilla::{ - chip::{SinsemillaChip, SinsemillaConfig}, - CommitDomain, Message, MessagePiece, - }, - utilities::{bitrange_subset, bool_check}, +use crate::constants::{OrchardCommitDomains, OrchardFixedBases, OrchardHashDomains, T_P}; +use halo2_gadgets::{ + ecc::{chip::EccChip, X}, + sinsemilla::{ + chip::{SinsemillaChip, SinsemillaConfig}, + CommitDomain, Message, MessagePiece, }, - constants::{OrchardCommitDomains, OrchardFixedBases, OrchardHashDomains, T_P}, + utilities::{bitrange_subset, bool_check}, }; #[derive(Clone, Debug)] @@ -635,20 +633,18 @@ struct GateCells { #[cfg(test)] mod tests { use super::CommitIvkConfig; - use crate::{ - circuit::gadget::{ - ecc::chip::{EccChip, EccConfig}, - sinsemilla::chip::SinsemillaChip, - utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, - }, - constants::{ - fixed_bases::COMMIT_IVK_PERSONALIZATION, OrchardCommitDomains, OrchardFixedBases, - OrchardHashDomains, L_ORCHARD_BASE, T_Q, - }, - primitives::sinsemilla::CommitDomain, + use crate::constants::{ + fixed_bases::COMMIT_IVK_PERSONALIZATION, OrchardCommitDomains, OrchardFixedBases, + OrchardHashDomains, L_ORCHARD_BASE, T_Q, }; use group::ff::{Field, PrimeFieldBits}; - use halo2::{ + use halo2_gadgets::{ + ecc::chip::{EccChip, EccConfig}, + primitives::sinsemilla::CommitDomain, + sinsemilla::chip::SinsemillaChip, + utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, + }; + use halo2_proofs::{ circuit::{AssignedCell, Layouter, SimpleFloorPlanner}, dev::MockProver, plonk::{Circuit, ConstraintSystem, Error}, diff --git a/src/circuit/gadget.rs b/src/circuit/gadget.rs index a1373c78..2ba7c6fb 100644 --- a/src/circuit/gadget.rs +++ b/src/circuit/gadget.rs @@ -3,14 +3,11 @@ use pasta_curves::pallas; use crate::constants::{OrchardCommitDomains, OrchardFixedBases, OrchardHashDomains}; -use ecc::chip::EccChip; -use poseidon::Pow5Chip as PoseidonChip; -use sinsemilla::{chip::SinsemillaChip, merkle::chip::MerkleChip}; - -pub(crate) mod ecc; -pub mod poseidon; -pub(crate) mod sinsemilla; -pub mod utilities; +use halo2_gadgets::{ + ecc::chip::EccChip, + poseidon::Pow5Chip as PoseidonChip, + sinsemilla::{chip::SinsemillaChip, merkle::chip::MerkleChip}, +}; impl super::Config { pub(super) fn ecc_chip(&self) -> EccChip { diff --git a/src/circuit/gadget/ecc.rs b/src/circuit/gadget/ecc.rs deleted file mode 100644 index 41422cf7..00000000 --- a/src/circuit/gadget/ecc.rs +++ /dev/null @@ -1,695 +0,0 @@ -//! Gadgets for elliptic curve operations. - -use std::fmt::Debug; - -use halo2::{ - arithmetic::CurveAffine, - circuit::{Chip, Layouter}, - plonk::Error, -}; - -use crate::circuit::gadget::utilities::UtilitiesInstructions; - -pub mod chip; - -/// The set of circuit instructions required to use the ECC gadgets. -pub trait EccInstructions: - Chip + UtilitiesInstructions + Clone + Debug + Eq -{ - /// Variable representing an element of the elliptic curve's base field, that - /// is used as a scalar in variable-base scalar mul. - /// - /// It is not true in general that a scalar field element fits in a curve's - /// base field, and in particular it is untrue for the Pallas curve, whose - /// scalar field `Fq` is larger than its base field `Fp`. - /// - /// However, the only use of variable-base scalar mul in the Orchard protocol - /// is in deriving diversified addresses `[ivk] g_d`, and `ivk` is guaranteed - /// to be in the base field of the curve. (See non-normative notes in - /// https://zips.z.cash/protocol/nu5.pdf#orchardkeycomponents.) - type ScalarVar: Clone + Debug; - /// Variable representing a full-width element of the elliptic curve's - /// scalar field, to be used for fixed-base scalar mul. - type ScalarFixed: Clone + Debug; - /// Variable representing a signed short element of the elliptic curve's - /// scalar field, to be used for fixed-base scalar mul. - /// - /// A `ScalarFixedShort` must be in the range [-(2^64 - 1), 2^64 - 1]. - type ScalarFixedShort: Clone + Debug; - /// Variable representing an elliptic curve point. - type Point: From + Clone + Debug; - /// Variable representing a non-identity elliptic curve point. - type NonIdentityPoint: Clone + Debug; - /// Variable representing the affine short Weierstrass x-coordinate of an - /// elliptic curve point. - type X: Clone + Debug; - /// Enumeration of the set of fixed bases to be used in scalar mul. - /// TODO: When associated consts can be used as const generics, introduce - /// `Self::NUM_WINDOWS`, `Self::NUM_WINDOWS_BASE_FIELD`, `Self::NUM_WINDOWS_SHORT` - /// and use them to differentiate `FixedPoints` types. - type FixedPoints: FixedPoints; - - /// Constrains point `a` to be equal in value to point `b`. - fn constrain_equal( - &self, - layouter: &mut impl Layouter, - a: &Self::Point, - b: &Self::Point, - ) -> Result<(), Error>; - - /// Witnesses the given point as a private input to the circuit. - /// This allows the point to be the identity, mapped to (0, 0) in - /// affine coordinates. - fn witness_point( - &self, - layouter: &mut impl Layouter, - value: Option, - ) -> Result; - - /// Witnesses the given point as a private input to the circuit. - /// This returns an error if the point is the identity. - fn witness_point_non_id( - &self, - layouter: &mut impl Layouter, - value: Option, - ) -> Result; - - /// Extracts the x-coordinate of a point. - fn extract_p + Clone>(point: &Point) -> Self::X; - - /// Performs incomplete point addition, returning `a + b`. - /// - /// This returns an error in exceptional cases. - fn add_incomplete( - &self, - layouter: &mut impl Layouter, - a: &Self::NonIdentityPoint, - b: &Self::NonIdentityPoint, - ) -> Result; - - /// Performs complete point addition, returning `a + b`. - fn add + Clone, B: Into + Clone>( - &self, - layouter: &mut impl Layouter, - a: &A, - b: &B, - ) -> Result; - - /// Performs variable-base scalar multiplication, returning `[scalar] base`. - fn mul( - &self, - layouter: &mut impl Layouter, - scalar: &Self::Var, - base: &Self::NonIdentityPoint, - ) -> Result<(Self::Point, Self::ScalarVar), Error>; - - /// Performs fixed-base scalar multiplication using a full-width scalar, returning `[scalar] base`. - fn mul_fixed( - &self, - layouter: &mut impl Layouter, - scalar: Option, - base: &>::FullScalar, - ) -> Result<(Self::Point, Self::ScalarFixed), Error>; - - /// Performs fixed-base scalar multiplication using a short signed scalar, returning - /// `[magnitude * sign] base`. - fn mul_fixed_short( - &self, - layouter: &mut impl Layouter, - magnitude_sign: (Self::Var, Self::Var), - base: &>::ShortScalar, - ) -> Result<(Self::Point, Self::ScalarFixedShort), Error>; - - /// Performs fixed-base scalar multiplication using a base field element as the scalar. - /// In the current implementation, this base field element must be output from another - /// instruction. - fn mul_fixed_base_field_elem( - &self, - layouter: &mut impl Layouter, - base_field_elem: Self::Var, - base: &>::Base, - ) -> Result; -} - -/// Defines the fixed points for a given instantiation of the ECC chip. -pub trait FixedPoints: Debug + Eq + Clone { - type FullScalar: Debug + Eq + Clone; - type ShortScalar: Debug + Eq + Clone; - type Base: Debug + Eq + Clone; -} - -/// An element of the given elliptic curve's base field, that is used as a scalar -/// in variable-base scalar mul. -/// -/// It is not true in general that a scalar field element fits in a curve's -/// base field, and in particular it is untrue for the Pallas curve, whose -/// scalar field `Fq` is larger than its base field `Fp`. -/// -/// However, the only use of variable-base scalar mul in the Orchard protocol -/// is in deriving diversified addresses `[ivk] g_d`, and `ivk` is guaranteed -/// to be in the base field of the curve. (See non-normative notes in -/// https://zips.z.cash/protocol/nu5.pdf#orchardkeycomponents.) -#[derive(Debug)] -pub struct ScalarVar> { - chip: EccChip, - inner: EccChip::ScalarVar, -} - -/// A full-width element of the given elliptic curve's scalar field, to be used for fixed-base scalar mul. -#[derive(Debug)] -pub struct ScalarFixed> { - chip: EccChip, - inner: EccChip::ScalarFixed, -} - -/// A signed short element of the given elliptic curve's scalar field, to be used for fixed-base scalar mul. -#[derive(Debug)] -pub struct ScalarFixedShort> { - chip: EccChip, - inner: EccChip::ScalarFixedShort, -} - -/// A non-identity elliptic curve point over the given curve. -#[derive(Copy, Clone, Debug)] -pub struct NonIdentityPoint> { - chip: EccChip, - inner: EccChip::NonIdentityPoint, -} - -impl> NonIdentityPoint { - /// Constructs a new point with the given value. - pub fn new( - chip: EccChip, - mut layouter: impl Layouter, - value: Option, - ) -> Result { - let point = chip.witness_point_non_id(&mut layouter, value); - point.map(|inner| NonIdentityPoint { chip, inner }) - } - - /// Constrains this point to be equal in value to another point. - pub fn constrain_equal> + Clone>( - &self, - mut layouter: impl Layouter, - other: &Other, - ) -> Result<(), Error> { - let other: Point = (other.clone()).into(); - self.chip.constrain_equal( - &mut layouter, - &Point::::from(self.clone()).inner, - &other.inner, - ) - } - - /// Returns the inner point. - pub fn inner(&self) -> &EccChip::NonIdentityPoint { - &self.inner - } - - /// Extracts the x-coordinate of a point. - pub fn extract_p(&self) -> X { - X::from_inner(self.chip.clone(), EccChip::extract_p(&self.inner)) - } - - /// Wraps the given point (obtained directly from an instruction) in a gadget. - pub fn from_inner(chip: EccChip, inner: EccChip::NonIdentityPoint) -> Self { - NonIdentityPoint { chip, inner } - } - - /// Returns `self + other` using complete addition. - pub fn add> + Clone>( - &self, - mut layouter: impl Layouter, - other: &Other, - ) -> Result, Error> { - let other: Point = (other.clone()).into(); - - assert_eq!(self.chip, other.chip); - self.chip - .add(&mut layouter, &self.inner, &other.inner) - .map(|inner| Point { - chip: self.chip.clone(), - inner, - }) - } - - /// Returns `self + other` using incomplete addition. - /// The arguments are type-constrained not to be the identity point, - /// and since exceptional cases return an Error, the result also cannot - /// be the identity point. - pub fn add_incomplete( - &self, - mut layouter: impl Layouter, - other: &Self, - ) -> Result { - assert_eq!(self.chip, other.chip); - self.chip - .add_incomplete(&mut layouter, &self.inner, &other.inner) - .map(|inner| NonIdentityPoint { - chip: self.chip.clone(), - inner, - }) - } - - /// Returns `[by] self`. - #[allow(clippy::type_complexity)] - pub fn mul( - &self, - mut layouter: impl Layouter, - by: &EccChip::Var, - ) -> Result<(Point, ScalarVar), Error> { - self.chip - .mul(&mut layouter, by, &self.inner.clone()) - .map(|(point, scalar)| { - ( - Point { - chip: self.chip.clone(), - inner: point, - }, - ScalarVar { - chip: self.chip.clone(), - inner: scalar, - }, - ) - }) - } -} - -impl + Clone + Debug + Eq> - From> for Point -{ - fn from(non_id_point: NonIdentityPoint) -> Self { - Self { - chip: non_id_point.chip, - inner: non_id_point.inner.into(), - } - } -} - -/// An elliptic curve point over the given curve. -#[derive(Copy, Clone, Debug)] -pub struct Point + Clone + Debug + Eq> { - chip: EccChip, - inner: EccChip::Point, -} - -impl + Clone + Debug + Eq> Point { - /// Constructs a new point with the given value. - pub fn new( - chip: EccChip, - mut layouter: impl Layouter, - value: Option, - ) -> Result { - let point = chip.witness_point(&mut layouter, value); - point.map(|inner| Point { chip, inner }) - } - - /// Constrains this point to be equal in value to another point. - pub fn constrain_equal> + Clone>( - &self, - mut layouter: impl Layouter, - other: &Other, - ) -> Result<(), Error> { - let other: Point = (other.clone()).into(); - self.chip - .constrain_equal(&mut layouter, &self.inner, &other.inner) - } - - /// Returns the inner point. - pub fn inner(&self) -> &EccChip::Point { - &self.inner - } - - /// Extracts the x-coordinate of a point. - pub fn extract_p(&self) -> X { - X::from_inner(self.chip.clone(), EccChip::extract_p(&self.inner)) - } - - /// Wraps the given point (obtained directly from an instruction) in a gadget. - pub fn from_inner(chip: EccChip, inner: EccChip::Point) -> Self { - Point { chip, inner } - } - - /// Returns `self + other` using complete addition. - pub fn add> + Clone>( - &self, - mut layouter: impl Layouter, - other: &Other, - ) -> Result, Error> { - let other: Point = (other.clone()).into(); - - assert_eq!(self.chip, other.chip); - self.chip - .add(&mut layouter, &self.inner, &other.inner) - .map(|inner| Point { - chip: self.chip.clone(), - inner, - }) - } -} - -/// The affine short Weierstrass x-coordinate of an elliptic curve point over the -/// given curve. -#[derive(Debug)] -pub struct X> { - chip: EccChip, - inner: EccChip::X, -} - -impl> X { - /// Wraps the given x-coordinate (obtained directly from an instruction) in a gadget. - pub fn from_inner(chip: EccChip, inner: EccChip::X) -> Self { - X { chip, inner } - } - - /// Returns the inner x-coordinate. - pub fn inner(&self) -> &EccChip::X { - &self.inner - } -} - -/// A constant elliptic curve point over the given curve, for which window tables have -/// been provided to make scalar multiplication more efficient. -/// -/// Used in scalar multiplication with full-width scalars. -#[derive(Clone, Debug)] -pub struct FixedPoint> { - chip: EccChip, - inner: >::FullScalar, -} - -/// A constant elliptic curve point over the given curve, used in scalar multiplication -/// with a base field element -#[derive(Clone, Debug)] -pub struct FixedPointBaseField> { - chip: EccChip, - inner: >::Base, -} - -/// A constant elliptic curve point over the given curve, used in scalar multiplication -/// with a short signed exponent -#[derive(Clone, Debug)] -pub struct FixedPointShort> { - chip: EccChip, - inner: >::ShortScalar, -} - -impl> FixedPoint { - #[allow(clippy::type_complexity)] - /// Returns `[by] self`. - pub fn mul( - &self, - mut layouter: impl Layouter, - by: Option, - ) -> Result<(Point, ScalarFixed), Error> { - self.chip - .mul_fixed(&mut layouter, by, &self.inner) - .map(|(point, scalar)| { - ( - Point { - chip: self.chip.clone(), - inner: point, - }, - ScalarFixed { - chip: self.chip.clone(), - inner: scalar, - }, - ) - }) - } - - /// Wraps the given fixed base (obtained directly from an instruction) in a gadget. - pub fn from_inner( - chip: EccChip, - inner: >::FullScalar, - ) -> Self { - Self { chip, inner } - } -} - -impl> FixedPointBaseField { - #[allow(clippy::type_complexity)] - /// Returns `[by] self`. - pub fn mul( - &self, - mut layouter: impl Layouter, - by: EccChip::Var, - ) -> Result, Error> { - self.chip - .mul_fixed_base_field_elem(&mut layouter, by, &self.inner) - .map(|inner| Point { - chip: self.chip.clone(), - inner, - }) - } - - /// Wraps the given fixed base (obtained directly from an instruction) in a gadget. - pub fn from_inner( - chip: EccChip, - inner: >::Base, - ) -> Self { - Self { chip, inner } - } -} - -impl> FixedPointShort { - #[allow(clippy::type_complexity)] - /// Returns `[by] self`. - pub fn mul( - &self, - mut layouter: impl Layouter, - magnitude_sign: (EccChip::Var, EccChip::Var), - ) -> Result<(Point, ScalarFixedShort), Error> { - self.chip - .mul_fixed_short(&mut layouter, magnitude_sign, &self.inner) - .map(|(point, scalar)| { - ( - Point { - chip: self.chip.clone(), - inner: point, - }, - ScalarFixedShort { - chip: self.chip.clone(), - inner: scalar, - }, - ) - }) - } - - /// Wraps the given fixed base (obtained directly from an instruction) in a gadget. - pub fn from_inner( - chip: EccChip, - inner: >::ShortScalar, - ) -> Self { - Self { chip, inner } - } -} - -#[cfg(test)] -mod tests { - use group::{prime::PrimeCurveAffine, Curve, Group}; - - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::MockProver, - plonk::{Circuit, ConstraintSystem, Error}, - }; - use pasta_curves::pallas; - - use super::chip::{EccChip, EccConfig}; - use crate::circuit::gadget::utilities::lookup_range_check::LookupRangeCheckConfig; - use crate::constants::OrchardFixedBases; - - struct MyCircuit { - test_errors: bool, - } - - #[allow(non_snake_case)] - impl Circuit for MyCircuit { - type Config = EccConfig; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - MyCircuit { test_errors: false } - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let advices = [ - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - ]; - let lookup_table = meta.lookup_table_column(); - let lagrange_coeffs = [ - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - ]; - // Shared fixed column for loading constants - let constants = meta.fixed_column(); - meta.enable_constant(constants); - - let range_check = LookupRangeCheckConfig::configure(meta, advices[9], lookup_table); - EccChip::::configure(meta, advices, lagrange_coeffs, range_check) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - let chip = EccChip::construct(config.clone()); - - // Load 10-bit lookup table. In the Action circuit, this will be - // provided by the Sinsemilla chip. - config.lookup_config.load(&mut layouter)?; - - // Generate a random non-identity point P - let p_val = pallas::Point::random(rand::rngs::OsRng).to_affine(); // P - let p = super::NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "P"), - Some(p_val), - )?; - let p_neg = -p_val; - let p_neg = super::NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "-P"), - Some(p_neg), - )?; - - // Generate a random non-identity point Q - let q_val = pallas::Point::random(rand::rngs::OsRng).to_affine(); // Q - let q = super::NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "Q"), - Some(q_val), - )?; - - // Make sure P and Q are not the same point. - assert_ne!(p_val, q_val); - - // Test that we can witness the identity as a point, but not as a non-identity point. - { - let _ = super::Point::new( - chip.clone(), - layouter.namespace(|| "identity"), - Some(pallas::Affine::identity()), - )?; - - super::NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "identity"), - Some(pallas::Affine::identity()), - ) - .expect_err("Trying to witness the identity should return an error"); - } - - // Test witness non-identity point - { - super::chip::witness_point::tests::test_witness_non_id( - chip.clone(), - layouter.namespace(|| "witness non-identity point"), - ) - } - - // Test complete addition - { - super::chip::add::tests::test_add( - chip.clone(), - layouter.namespace(|| "complete addition"), - p_val, - &p, - q_val, - &q, - &p_neg, - )?; - } - - // Test incomplete addition - { - super::chip::add_incomplete::tests::test_add_incomplete( - chip.clone(), - layouter.namespace(|| "incomplete addition"), - p_val, - &p, - q_val, - &q, - &p_neg, - self.test_errors, - )?; - } - - // Test variable-base scalar multiplication - { - super::chip::mul::tests::test_mul( - chip.clone(), - layouter.namespace(|| "variable-base scalar mul"), - &p, - p_val, - )?; - } - - // Test full-width fixed-base scalar multiplication - { - super::chip::mul_fixed::full_width::tests::test_mul_fixed( - chip.clone(), - layouter.namespace(|| "full-width fixed-base scalar mul"), - )?; - } - - // Test signed short fixed-base scalar multiplication - { - super::chip::mul_fixed::short::tests::test_mul_fixed_short( - chip.clone(), - layouter.namespace(|| "signed short fixed-base scalar mul"), - )?; - } - - // Test fixed-base scalar multiplication with a base field element - { - super::chip::mul_fixed::base_field_elem::tests::test_mul_fixed_base_field( - chip, - layouter.namespace(|| "fixed-base scalar mul with base field element"), - )?; - } - - Ok(()) - } - } - - #[test] - fn ecc_chip() { - let k = 13; - let circuit = MyCircuit { test_errors: true }; - let prover = MockProver::run(k, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())) - } - - #[cfg(feature = "dev-graph")] - #[test] - fn print_ecc_chip() { - use plotters::prelude::*; - - let root = BitMapBackend::new("ecc-chip-layout.png", (1024, 7680)).into_drawing_area(); - root.fill(&WHITE).unwrap(); - let root = root.titled("Ecc Chip Layout", ("sans-serif", 60)).unwrap(); - - let circuit = MyCircuit { test_errors: false }; - halo2::dev::CircuitLayout::default() - .render(13, &circuit, &root) - .unwrap(); - } -} diff --git a/src/circuit/gadget/ecc/chip.rs b/src/circuit/gadget/ecc/chip.rs deleted file mode 100644 index b265371f..00000000 --- a/src/circuit/gadget/ecc/chip.rs +++ /dev/null @@ -1,509 +0,0 @@ -use super::{EccInstructions, FixedPoints}; -use crate::{ - circuit::gadget::utilities::{ - lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions, - }, - primitives::sinsemilla, -}; -use arrayvec::ArrayVec; - -use ff::Field; -use group::prime::PrimeCurveAffine; -use halo2::{ - circuit::{AssignedCell, Chip, Layouter}, - plonk::{Advice, Column, ConstraintSystem, Error, Fixed}, -}; -use pasta_curves::{arithmetic::CurveAffine, pallas}; - -use std::convert::TryInto; - -pub(super) mod add; -pub(super) mod add_incomplete; -pub mod constants; -pub(super) mod mul; -pub(super) mod mul_fixed; -pub(super) mod witness_point; - -pub use constants::*; - -/// A curve point represented in affine (x, y) coordinates, or the -/// identity represented as (0, 0). -/// Each coordinate is assigned to a cell. -#[derive(Clone, Debug)] -pub struct EccPoint { - /// x-coordinate - x: AssignedCell, - /// y-coordinate - y: AssignedCell, -} - -impl EccPoint { - /// Constructs a point from its coordinates, without checking they are on the curve. - /// - /// This is an internal API that we only use where we know we have a valid curve point - /// (specifically inside Sinsemilla). - pub(in crate::circuit::gadget) fn from_coordinates_unchecked( - x: AssignedCell, - y: AssignedCell, - ) -> Self { - EccPoint { x, y } - } - - /// Returns the value of this curve point, if known. - pub fn point(&self) -> Option { - match (self.x.value(), self.y.value()) { - (Some(x), Some(y)) => { - if x.is_zero_vartime() && y.is_zero_vartime() { - Some(pallas::Affine::identity()) - } else { - Some(pallas::Affine::from_xy(*x, *y).unwrap()) - } - } - _ => None, - } - } - /// The cell containing the affine short-Weierstrass x-coordinate, - /// or 0 for the zero point. - pub fn x(&self) -> AssignedCell { - self.x.clone() - } - /// The cell containing the affine short-Weierstrass y-coordinate, - /// or 0 for the zero point. - pub fn y(&self) -> AssignedCell { - self.y.clone() - } - - #[cfg(test)] - fn is_identity(&self) -> Option { - self.x.value().map(|x| x.is_zero_vartime()) - } -} - -/// A non-identity point represented in affine (x, y) coordinates. -/// Each coordinate is assigned to a cell. -#[derive(Clone, Debug)] -pub struct NonIdentityEccPoint { - /// x-coordinate - x: AssignedCell, - /// y-coordinate - y: AssignedCell, -} - -impl NonIdentityEccPoint { - /// Constructs a point from its coordinates, without checking they are on the curve. - /// - /// This is an internal API that we only use where we know we have a valid non-identity - /// curve point (specifically inside Sinsemilla). - pub(in crate::circuit::gadget) fn from_coordinates_unchecked( - x: AssignedCell, - y: AssignedCell, - ) -> Self { - NonIdentityEccPoint { x, y } - } - - /// Returns the value of this curve point, if known. - pub fn point(&self) -> Option { - match (self.x.value(), self.y.value()) { - (Some(x), Some(y)) => { - assert!(!x.is_zero_vartime() && !y.is_zero_vartime()); - Some(pallas::Affine::from_xy(*x, *y).unwrap()) - } - _ => None, - } - } - /// The cell containing the affine short-Weierstrass x-coordinate. - pub fn x(&self) -> AssignedCell { - self.x.clone() - } - /// The cell containing the affine short-Weierstrass y-coordinate. - pub fn y(&self) -> AssignedCell { - self.y.clone() - } -} - -impl From for EccPoint { - fn from(non_id_point: NonIdentityEccPoint) -> Self { - Self { - x: non_id_point.x, - y: non_id_point.y, - } - } -} - -/// Configuration for the ECC chip -#[derive(Clone, Debug, Eq, PartialEq)] -#[allow(non_snake_case)] -pub struct EccConfig> { - /// Advice columns needed by instructions in the ECC chip. - pub advices: [Column; 10], - - /// Incomplete addition - add_incomplete: add_incomplete::Config, - - /// Complete addition - add: add::Config, - - /// Variable-base scalar multiplication - mul: mul::Config, - - /// Fixed-base full-width scalar multiplication - mul_fixed_full: mul_fixed::full_width::Config, - /// Fixed-base signed short scalar multiplication - mul_fixed_short: mul_fixed::short::Config, - /// Fixed-base mul using a base field element as a scalar - mul_fixed_base_field: mul_fixed::base_field_elem::Config, - - /// Witness point - witness_point: witness_point::Config, - - /// Lookup range check using 10-bit lookup table - pub lookup_config: LookupRangeCheckConfig, -} - -/// A trait representing the kind of scalar used with a particular `FixedPoint`. -/// -/// This trait exists because of limitations around const generics. -pub trait ScalarKind { - const NUM_WINDOWS: usize; -} - -/// Type marker representing a full-width scalar for use in fixed-base scalar -/// multiplication. -pub enum FullScalar {} -impl ScalarKind for FullScalar { - const NUM_WINDOWS: usize = NUM_WINDOWS; -} - -/// Type marker representing a signed 64-bit scalar for use in fixed-base scalar -/// multiplication. -pub enum ShortScalar {} -impl ScalarKind for ShortScalar { - const NUM_WINDOWS: usize = NUM_WINDOWS_SHORT; -} - -/// Type marker representing a base field element being used as a scalar in fixed-base -/// scalar multiplication. -pub enum BaseFieldElem {} -impl ScalarKind for BaseFieldElem { - const NUM_WINDOWS: usize = NUM_WINDOWS; -} - -/// Returns information about a fixed point. -/// -/// TODO: When associated consts can be used as const generics, introduce a -/// `const NUM_WINDOWS: usize` associated const, and return `NUM_WINDOWS`-sized -/// arrays instead of `Vec`s. -pub trait FixedPoint: std::fmt::Debug + Eq + Clone { - type ScalarKind: ScalarKind; - - fn generator(&self) -> C; - fn u(&self) -> Vec<[[u8; 32]; H]>; - fn z(&self) -> Vec; - - fn lagrange_coeffs(&self) -> Vec<[C::Base; H]> { - compute_lagrange_coeffs(self.generator(), Self::ScalarKind::NUM_WINDOWS) - } -} - -/// A chip implementing EccInstructions -#[derive(Clone, Debug, Eq, PartialEq)] -pub struct EccChip> { - config: EccConfig, -} - -impl> Chip for EccChip { - type Config = EccConfig; - type Loaded = (); - - fn config(&self) -> &Self::Config { - &self.config - } - - fn loaded(&self) -> &Self::Loaded { - &() - } -} - -impl> UtilitiesInstructions - for EccChip -{ - type Var = AssignedCell; -} - -impl> EccChip { - pub fn construct(config: >::Config) -> Self { - Self { config } - } - - /// # Side effects - /// - /// All columns in `advices` will be equality-enabled. - #[allow(non_snake_case)] - pub fn configure( - meta: &mut ConstraintSystem, - advices: [Column; 10], - lagrange_coeffs: [Column; 8], - range_check: LookupRangeCheckConfig, - ) -> >::Config { - // Create witness point gate - let witness_point = witness_point::Config::configure(meta, advices[0], advices[1]); - // Create incomplete point addition gate - let add_incomplete = - add_incomplete::Config::configure(meta, advices[0], advices[1], advices[2], advices[3]); - - // Create complete point addition gate - let add = add::Config::configure( - meta, advices[0], advices[1], advices[2], advices[3], advices[4], advices[5], - advices[6], advices[7], advices[8], - ); - - // Create variable-base scalar mul gates - let mul = mul::Config::configure(meta, add, range_check, advices); - - // Create config that is shared across short, base-field, and full-width - // fixed-base scalar mul. - let mul_fixed = mul_fixed::Config::::configure( - meta, - lagrange_coeffs, - advices[4], - advices[0], - advices[1], - advices[5], - add, - add_incomplete, - ); - - // Create gate that is only used in full-width fixed-base scalar mul. - let mul_fixed_full = - mul_fixed::full_width::Config::::configure(meta, mul_fixed.clone()); - - // Create gate that is only used in short fixed-base scalar mul. - let mul_fixed_short = - mul_fixed::short::Config::::configure(meta, mul_fixed.clone()); - - // Create gate that is only used in fixed-base mul using a base field element. - let mul_fixed_base_field = mul_fixed::base_field_elem::Config::::configure( - meta, - advices[6..9].try_into().unwrap(), - range_check, - mul_fixed, - ); - - EccConfig { - advices, - add_incomplete, - add, - mul, - mul_fixed_full, - mul_fixed_short, - mul_fixed_base_field, - witness_point, - lookup_config: range_check, - } - } -} - -/// A full-width scalar used for fixed-base scalar multiplication. -/// This is decomposed into 85 3-bit windows in little-endian order, -/// i.e. `windows` = [k_0, k_1, ..., k_84] (for a 255-bit scalar) -/// where `scalar = k_0 + k_1 * (2^3) + ... + k_84 * (2^3)^84` and -/// each `k_i` is in the range [0..2^3). -#[derive(Clone, Debug)] -pub struct EccScalarFixed { - value: Option, - windows: ArrayVec, { NUM_WINDOWS }>, -} - -// TODO: Make V a `u64` -type MagnitudeCell = AssignedCell; -// TODO: Make V an enum Sign { Positive, Negative } -type SignCell = AssignedCell; -type MagnitudeSign = (MagnitudeCell, SignCell); - -/// A signed short scalar used for fixed-base scalar multiplication. -/// A short scalar must have magnitude in the range [0..2^64), with -/// a sign of either 1 or -1. -/// This is decomposed into 3-bit windows in little-endian order -/// using a running sum `z`, where z_{i+1} = (z_i - a_i) / (2^3) -/// for element α = a_0 + (2^3) a_1 + ... + (2^{3(n-1)}) a_{n-1}. -/// Each `a_i` is in the range [0..2^3). -/// -/// `windows` = [k_0, k_1, ..., k_21] (for a 64-bit magnitude) -/// where `scalar = k_0 + k_1 * (2^3) + ... + k_84 * (2^3)^84` and -/// each `k_i` is in the range [0..2^3). -/// k_21 must be a single bit, i.e. 0 or 1. -#[derive(Clone, Debug)] -pub struct EccScalarFixedShort { - magnitude: MagnitudeCell, - sign: SignCell, - running_sum: ArrayVec, { NUM_WINDOWS_SHORT + 1 }>, -} - -/// A base field element used for fixed-base scalar multiplication. -/// This is decomposed into 3-bit windows in little-endian order -/// using a running sum `z`, where z_{i+1} = (z_i - a_i) / (2^3) -/// for element α = a_0 + (2^3) a_1 + ... + (2^{3(n-1)}) a_{n-1}. -/// Each `a_i` is in the range [0..2^3). -/// -/// `running_sum` = [z_0, ..., z_85], where we expect z_85 = 0. -/// Since z_0 is initialized as the scalar α, we store it as -/// `base_field_elem`. -#[derive(Clone, Debug)] -struct EccBaseFieldElemFixed { - base_field_elem: AssignedCell, - running_sum: ArrayVec, { NUM_WINDOWS + 1 }>, -} - -impl EccBaseFieldElemFixed { - fn base_field_elem(&self) -> AssignedCell { - self.base_field_elem.clone() - } -} - -impl> EccInstructions for EccChip -where - >::Base: - FixedPoint, - >::FullScalar: - FixedPoint, - >::ShortScalar: - FixedPoint, -{ - type ScalarFixed = EccScalarFixed; - type ScalarFixedShort = EccScalarFixedShort; - type ScalarVar = AssignedCell; - type Point = EccPoint; - type NonIdentityPoint = NonIdentityEccPoint; - type X = AssignedCell; - type FixedPoints = Fixed; - - fn constrain_equal( - &self, - layouter: &mut impl Layouter, - a: &Self::Point, - b: &Self::Point, - ) -> Result<(), Error> { - layouter.assign_region( - || "constrain equal", - |mut region| { - // Constrain x-coordinates - region.constrain_equal(a.x().cell(), b.x().cell())?; - // Constrain x-coordinates - region.constrain_equal(a.y().cell(), b.y().cell()) - }, - ) - } - - fn witness_point( - &self, - layouter: &mut impl Layouter, - value: Option, - ) -> Result { - let config = self.config().witness_point; - layouter.assign_region( - || "witness point", - |mut region| config.point(value, 0, &mut region), - ) - } - - fn witness_point_non_id( - &self, - layouter: &mut impl Layouter, - value: Option, - ) -> Result { - let config = self.config().witness_point; - layouter.assign_region( - || "witness non-identity point", - |mut region| config.point_non_id(value, 0, &mut region), - ) - } - - fn extract_p + Clone>(point: &Point) -> Self::X { - let point: EccPoint = (point.clone()).into(); - point.x() - } - - fn add_incomplete( - &self, - layouter: &mut impl Layouter, - a: &Self::NonIdentityPoint, - b: &Self::NonIdentityPoint, - ) -> Result { - let config = self.config().add_incomplete; - layouter.assign_region( - || "incomplete point addition", - |mut region| config.assign_region(a, b, 0, &mut region), - ) - } - - fn add + Clone, B: Into + Clone>( - &self, - layouter: &mut impl Layouter, - a: &A, - b: &B, - ) -> Result { - let config = self.config().add; - layouter.assign_region( - || "complete point addition", - |mut region| { - config.assign_region(&(a.clone()).into(), &(b.clone()).into(), 0, &mut region) - }, - ) - } - - fn mul( - &self, - layouter: &mut impl Layouter, - scalar: &Self::Var, - base: &Self::NonIdentityPoint, - ) -> Result<(Self::Point, Self::ScalarVar), Error> { - let config = self.config().mul; - config.assign( - layouter.namespace(|| "variable-base scalar mul"), - scalar.clone(), - base, - ) - } - - fn mul_fixed( - &self, - layouter: &mut impl Layouter, - scalar: Option, - base: &>::FullScalar, - ) -> Result<(Self::Point, Self::ScalarFixed), Error> { - let config = self.config().mul_fixed_full.clone(); - config.assign( - layouter.namespace(|| format!("fixed-base mul of {:?}", base)), - scalar, - base, - ) - } - - fn mul_fixed_short( - &self, - layouter: &mut impl Layouter, - magnitude_sign: MagnitudeSign, - base: &>::ShortScalar, - ) -> Result<(Self::Point, Self::ScalarFixedShort), Error> { - let config = self.config().mul_fixed_short.clone(); - config.assign( - layouter.namespace(|| format!("short fixed-base mul of {:?}", base)), - magnitude_sign, - base, - ) - } - - fn mul_fixed_base_field_elem( - &self, - layouter: &mut impl Layouter, - base_field_elem: AssignedCell, - base: &>::Base, - ) -> Result { - let config = self.config().mul_fixed_base_field.clone(); - config.assign( - layouter.namespace(|| format!("base-field elem fixed-base mul of {:?}", base)), - base_field_elem, - base, - ) - } -} diff --git a/src/circuit/gadget/ecc/chip/add.rs b/src/circuit/gadget/ecc/chip/add.rs deleted file mode 100644 index 330fc35c..00000000 --- a/src/circuit/gadget/ecc/chip/add.rs +++ /dev/null @@ -1,501 +0,0 @@ -use std::array; - -use super::EccPoint; -use ff::{BatchInvert, Field}; -use halo2::{ - circuit::Region, - plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector}, - poly::Rotation, -}; -use pasta_curves::{arithmetic::FieldExt, pallas}; -use std::collections::HashSet; - -#[derive(Clone, Copy, Debug, Eq, PartialEq)] -pub struct Config { - q_add: Selector, - // lambda - lambda: Column, - // x-coordinate of P in P + Q = R - pub x_p: Column, - // y-coordinate of P in P + Q = R - pub y_p: Column, - // x-coordinate of Q or R in P + Q = R - pub x_qr: Column, - // y-coordinate of Q or R in P + Q = R - pub y_qr: Column, - // α = inv0(x_q - x_p) - alpha: Column, - // β = inv0(x_p) - beta: Column, - // γ = inv0(x_q) - gamma: Column, - // δ = inv0(y_p + y_q) if x_q = x_p, 0 otherwise - delta: Column, -} - -impl Config { - #[allow(clippy::too_many_arguments)] - pub(super) fn configure( - meta: &mut ConstraintSystem, - x_p: Column, - y_p: Column, - x_qr: Column, - y_qr: Column, - lambda: Column, - alpha: Column, - beta: Column, - gamma: Column, - delta: Column, - ) -> Self { - meta.enable_equality(x_p); - meta.enable_equality(y_p); - meta.enable_equality(x_qr); - meta.enable_equality(y_qr); - - let config = Self { - q_add: meta.selector(), - x_p, - y_p, - x_qr, - y_qr, - lambda, - alpha, - beta, - gamma, - delta, - }; - - config.create_gate(meta); - - config - } - - pub(crate) fn advice_columns(&self) -> HashSet> { - core::array::IntoIter::new([ - self.x_p, - self.y_p, - self.x_qr, - self.y_qr, - self.lambda, - self.alpha, - self.beta, - self.gamma, - self.delta, - ]) - .collect() - } - - pub(crate) fn output_columns(&self) -> HashSet> { - core::array::IntoIter::new([self.x_qr, self.y_qr]).collect() - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - meta.create_gate("complete addition gates", |meta| { - let q_add = meta.query_selector(self.q_add); - let x_p = meta.query_advice(self.x_p, Rotation::cur()); - let y_p = meta.query_advice(self.y_p, Rotation::cur()); - let x_q = meta.query_advice(self.x_qr, Rotation::cur()); - let y_q = meta.query_advice(self.y_qr, Rotation::cur()); - let x_r = meta.query_advice(self.x_qr, Rotation::next()); - let y_r = meta.query_advice(self.y_qr, Rotation::next()); - let lambda = meta.query_advice(self.lambda, Rotation::cur()); - - // α = inv0(x_q - x_p) - let alpha = meta.query_advice(self.alpha, Rotation::cur()); - // β = inv0(x_p) - let beta = meta.query_advice(self.beta, Rotation::cur()); - // γ = inv0(x_q) - let gamma = meta.query_advice(self.gamma, Rotation::cur()); - // δ = inv0(y_p + y_q) if x_q = x_p, 0 otherwise - let delta = meta.query_advice(self.delta, Rotation::cur()); - - // Useful composite expressions - // α ⋅(x_q - x_p) - let if_alpha = (x_q.clone() - x_p.clone()) * alpha; - // β ⋅ x_p - let if_beta = x_p.clone() * beta; - // γ ⋅ x_q - let if_gamma = x_q.clone() * gamma; - // δ ⋅(y_p + y_q) - let if_delta = (y_q.clone() + y_p.clone()) * delta; - - // Useful constants - let one = Expression::Constant(pallas::Base::one()); - let two = Expression::Constant(pallas::Base::from(2)); - let three = Expression::Constant(pallas::Base::from(3)); - - // (x_q − x_p)⋅((x_q − x_p)⋅λ − (y_q−y_p)) = 0 - let poly1 = { - let x_q_minus_x_p = x_q.clone() - x_p.clone(); // (x_q − x_p) - - let y_q_minus_y_p = y_q.clone() - y_p.clone(); // (y_q − y_p) - let incomplete = x_q_minus_x_p.clone() * lambda.clone() - y_q_minus_y_p; // (x_q − x_p)⋅λ − (y_q−y_p) - - // q_add ⋅(x_q − x_p)⋅((x_q − x_p)⋅λ − (y_q−y_p)) - x_q_minus_x_p * incomplete - }; - - // (1 - (x_q - x_p)⋅α)⋅(2y_p ⋅λ - 3x_p^2) = 0 - let poly2 = { - let three_x_p_sq = three * x_p.clone().square(); // 3x_p^2 - let two_y_p = two * y_p.clone(); // 2y_p - let tangent_line = two_y_p * lambda.clone() - three_x_p_sq; // (2y_p ⋅λ - 3x_p^2) - - // q_add ⋅(1 - (x_q - x_p)⋅α)⋅(2y_p ⋅λ - 3x_p^2) - (one.clone() - if_alpha.clone()) * tangent_line - }; - - // x_p⋅x_q⋅(x_q - x_p)⋅(λ^2 - x_p - x_q - x_r) = 0 - let secant_line = lambda.clone().square() - x_p.clone() - x_q.clone() - x_r.clone(); // (λ^2 - x_p - x_q - x_r) - let poly3 = { - let x_q_minus_x_p = x_q.clone() - x_p.clone(); // (x_q - x_p) - - // x_p⋅x_q⋅(x_q - x_p)⋅(λ^2 - x_p - x_q - x_r) - x_p.clone() * x_q.clone() * x_q_minus_x_p * secant_line.clone() - }; - - // x_p⋅x_q⋅(x_q - x_p)⋅(λ ⋅(x_p - x_r) - y_p - y_r) = 0 - let poly4 = { - let x_q_minus_x_p = x_q.clone() - x_p.clone(); // (x_q - x_p) - let x_p_minus_x_r = x_p.clone() - x_r.clone(); // (x_p - x_r) - - // x_p⋅x_q⋅(x_q - x_p)⋅(λ ⋅(x_p - x_r) - y_p - y_r) - x_p.clone() - * x_q.clone() - * x_q_minus_x_p - * (lambda.clone() * x_p_minus_x_r - y_p.clone() - y_r.clone()) - }; - - // x_p⋅x_q⋅(y_q + y_p)⋅(λ^2 - x_p - x_q - x_r) = 0 - let poly5 = { - let y_q_plus_y_p = y_q.clone() + y_p.clone(); // (y_q + y_p) - - // x_p⋅x_q⋅(y_q + y_p)⋅(λ^2 - x_p - x_q - x_r) - x_p.clone() * x_q.clone() * y_q_plus_y_p * secant_line - }; - - // x_p⋅x_q⋅(y_q + y_p)⋅(λ ⋅(x_p - x_r) - y_p - y_r) = 0 - let poly6 = { - let y_q_plus_y_p = y_q.clone() + y_p.clone(); // (y_q + y_p) - let x_p_minus_x_r = x_p.clone() - x_r.clone(); // (x_p - x_r) - - // x_p⋅x_q⋅(y_q + y_p)⋅(λ ⋅(x_p - x_r) - y_p - y_r) - x_p.clone() - * x_q.clone() - * y_q_plus_y_p - * (lambda * x_p_minus_x_r - y_p.clone() - y_r.clone()) - }; - - // (1 - x_p * β) * (x_r - x_q) = 0 - let poly7 = (one.clone() - if_beta.clone()) * (x_r.clone() - x_q); - - // (1 - x_p * β) * (y_r - y_q) = 0 - let poly8 = (one.clone() - if_beta) * (y_r.clone() - y_q); - - // (1 - x_q * γ) * (x_r - x_p) = 0 - let poly9 = (one.clone() - if_gamma.clone()) * (x_r.clone() - x_p); - - // (1 - x_q * γ) * (y_r - y_p) = 0 - let poly10 = (one.clone() - if_gamma) * (y_r.clone() - y_p); - - // ((1 - (x_q - x_p) * α - (y_q + y_p) * δ)) * x_r - let poly11 = (one.clone() - if_alpha.clone() - if_delta.clone()) * x_r; - - // ((1 - (x_q - x_p) * α - (y_q + y_p) * δ)) * y_r - let poly12 = (one - if_alpha - if_delta) * y_r; - - array::IntoIter::new([ - poly1, poly2, poly3, poly4, poly5, poly6, poly7, poly8, poly9, poly10, poly11, - poly12, - ]) - .map(move |poly| q_add.clone() * poly) - }); - } - - pub(super) fn assign_region( - &self, - p: &EccPoint, - q: &EccPoint, - offset: usize, - region: &mut Region<'_, pallas::Base>, - ) -> Result { - // Enable `q_add` selector - self.q_add.enable(region, offset)?; - - // Copy point `p` into `x_p`, `y_p` columns - p.x.copy_advice(|| "x_p", region, self.x_p, offset)?; - p.y.copy_advice(|| "y_p", region, self.y_p, offset)?; - - // Copy point `q` into `x_qr`, `y_qr` columns - q.x.copy_advice(|| "x_q", region, self.x_qr, offset)?; - q.y.copy_advice(|| "y_q", region, self.y_qr, offset)?; - - let (x_p, y_p) = (p.x.value(), p.y.value()); - let (x_q, y_q) = (q.x.value(), q.y.value()); - - // [alpha, beta, gamma, delta] - // = [inv0(x_q - x_p), inv0(x_p), inv0(x_q), inv0(y_q + y_p)] - // where inv0(x) = 0 if x = 0, 1/x otherwise. - // - let (alpha, beta, gamma, delta) = { - let inverses = x_p - .zip(x_q) - .zip(y_p) - .zip(y_q) - .map(|(((x_p, x_q), y_p), y_q)| { - let alpha = x_q - x_p; - let beta = x_p; - let gamma = x_q; - let delta = y_q + y_p; - - let mut inverses = [alpha, *beta, *gamma, delta]; - inverses.batch_invert(); - inverses - }); - - if let Some([alpha, beta, gamma, delta]) = inverses { - (Some(alpha), Some(beta), Some(gamma), Some(delta)) - } else { - (None, None, None, None) - } - }; - - // Assign α = inv0(x_q - x_p) - region.assign_advice(|| "α", self.alpha, offset, || alpha.ok_or(Error::Synthesis))?; - - // Assign β = inv0(x_p) - region.assign_advice(|| "β", self.beta, offset, || beta.ok_or(Error::Synthesis))?; - - // Assign γ = inv0(x_q) - region.assign_advice(|| "γ", self.gamma, offset, || gamma.ok_or(Error::Synthesis))?; - - // Assign δ = inv0(y_q + y_p) if x_q = x_p, 0 otherwise - region.assign_advice( - || "δ", - self.delta, - offset, - || { - let x_p = x_p.ok_or(Error::Synthesis)?; - let x_q = x_q.ok_or(Error::Synthesis)?; - - if x_q == x_p { - delta.ok_or(Error::Synthesis) - } else { - Ok(pallas::Base::zero()) - } - }, - )?; - - #[allow(clippy::collapsible_else_if)] - // Assign lambda - let lambda = - x_p.zip(y_p) - .zip(x_q) - .zip(y_q) - .zip(alpha) - .map(|((((x_p, y_p), x_q), y_q), alpha)| { - if x_q != x_p { - // λ = (y_q - y_p)/(x_q - x_p) - // Here, alpha = inv0(x_q - x_p), which suffices since we - // know that x_q != x_p in this branch. - (y_q - y_p) * alpha - } else { - if !y_p.is_zero_vartime() { - // 3(x_p)^2 - let three_x_p_sq = pallas::Base::from(3) * x_p.square(); - // 1 / 2(y_p) - let inv_two_y_p = y_p.invert().unwrap() * pallas::Base::TWO_INV; - // λ = 3(x_p)^2 / 2(y_p) - three_x_p_sq * inv_two_y_p - } else { - pallas::Base::zero() - } - } - }); - region.assign_advice( - || "λ", - self.lambda, - offset, - || lambda.ok_or(Error::Synthesis), - )?; - - // Calculate (x_r, y_r) - let r = - x_p.zip(y_p) - .zip(x_q) - .zip(y_q) - .zip(lambda) - .map(|((((x_p, y_p), x_q), y_q), lambda)| { - { - if x_p.is_zero_vartime() { - // 0 + Q = Q - (*x_q, *y_q) - } else if x_q.is_zero_vartime() { - // P + 0 = P - (*x_p, *y_p) - } else if (x_q == x_p) && (*y_q == -y_p) { - // P + (-P) maps to (0,0) - (pallas::Base::zero(), pallas::Base::zero()) - } else { - // x_r = λ^2 - x_p - x_q - let x_r = lambda.square() - x_p - x_q; - // y_r = λ(x_p - x_r) - y_p - let y_r = lambda * (x_p - x_r) - y_p; - (x_r, y_r) - } - } - }); - - // Assign x_r - let x_r = r.map(|r| r.0); - let x_r_cell = region.assign_advice( - || "x_r", - self.x_qr, - offset + 1, - || x_r.ok_or(Error::Synthesis), - )?; - - // Assign y_r - let y_r = r.map(|r| r.1); - let y_r_cell = region.assign_advice( - || "y_r", - self.y_qr, - offset + 1, - || y_r.ok_or(Error::Synthesis), - )?; - - let result = EccPoint { - x: x_r_cell, - y: y_r_cell, - }; - - #[cfg(test)] - // Check that the correct sum is obtained. - { - use group::Curve; - - let p = p.point(); - let q = q.point(); - let real_sum = p.zip(q).map(|(p, q)| p + q); - let result = result.point(); - - if let (Some(real_sum), Some(result)) = (real_sum, result) { - assert_eq!(real_sum.to_affine(), result); - } - } - - Ok(result) - } -} - -#[cfg(test)] -pub mod tests { - use group::{prime::PrimeCurveAffine, Curve}; - use halo2::{circuit::Layouter, plonk::Error}; - use pasta_curves::{arithmetic::CurveExt, pallas}; - - use crate::circuit::gadget::ecc::{chip::EccPoint, EccInstructions, NonIdentityPoint}; - - #[allow(clippy::too_many_arguments)] - pub fn test_add< - EccChip: EccInstructions + Clone + Eq + std::fmt::Debug, - >( - chip: EccChip, - mut layouter: impl Layouter, - p_val: pallas::Affine, - p: &NonIdentityPoint, - q_val: pallas::Affine, - q: &NonIdentityPoint, - p_neg: &NonIdentityPoint, - ) -> Result<(), Error> { - // Make sure P and Q are not the same point. - assert_ne!(p_val, q_val); - - // Check complete addition P + (-P) - let zero = { - let result = p.add(layouter.namespace(|| "P + (-P)"), p_neg)?; - if let Some(is_identity) = result.inner().is_identity() { - assert!(is_identity); - } - result - }; - - // Check complete addition 𝒪 + 𝒪 - { - let result = zero.add(layouter.namespace(|| "𝒪 + 𝒪"), &zero)?; - result.constrain_equal(layouter.namespace(|| "𝒪 + 𝒪 = 𝒪"), &zero)?; - } - - // Check P + Q - { - let result = p.add(layouter.namespace(|| "P + Q"), q)?; - let witnessed_result = NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "witnessed P + Q"), - Some((p_val + q_val).to_affine()), - )?; - result.constrain_equal(layouter.namespace(|| "constrain P + Q"), &witnessed_result)?; - } - - // P + P - { - let result = p.add(layouter.namespace(|| "P + P"), p)?; - let witnessed_result = NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "witnessed P + P"), - Some((p_val + p_val).to_affine()), - )?; - result.constrain_equal(layouter.namespace(|| "constrain P + P"), &witnessed_result)?; - } - - // P + 𝒪 - { - let result = p.add(layouter.namespace(|| "P + 𝒪"), &zero)?; - result.constrain_equal(layouter.namespace(|| "P + 𝒪 = P"), p)?; - } - - // 𝒪 + P - { - let result = zero.add(layouter.namespace(|| "𝒪 + P"), p)?; - result.constrain_equal(layouter.namespace(|| "𝒪 + P = P"), p)?; - } - - // (x, y) + (ζx, y) should behave like normal P + Q. - let endo_p = p_val.to_curve().endo(); - let endo_p = NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "endo(P)"), - Some(endo_p.to_affine()), - )?; - p.add(layouter.namespace(|| "P + endo(P)"), &endo_p)?; - - // (x, y) + (ζx, -y) should also behave like normal P + Q. - let endo_p_neg = (-p_val).to_curve().endo(); - let endo_p_neg = NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "endo(-P)"), - Some(endo_p_neg.to_affine()), - )?; - p.add(layouter.namespace(|| "P + endo(-P)"), &endo_p_neg)?; - - // (x, y) + ((ζ^2)x, y) - let endo_2_p = p_val.to_curve().endo().endo(); - let endo_2_p = NonIdentityPoint::new( - chip.clone(), - layouter.namespace(|| "endo^2(P)"), - Some(endo_2_p.to_affine()), - )?; - p.add(layouter.namespace(|| "P + endo^2(P)"), &endo_2_p)?; - - // (x, y) + ((ζ^2)x, -y) - let endo_2_p_neg = (-p_val).to_curve().endo().endo(); - let endo_2_p_neg = NonIdentityPoint::new( - chip, - layouter.namespace(|| "endo^2(-P)"), - Some(endo_2_p_neg.to_affine()), - )?; - p.add(layouter.namespace(|| "P + endo^2(-P)"), &endo_2_p_neg)?; - - Ok(()) - } -} diff --git a/src/circuit/gadget/ecc/chip/add_incomplete.rs b/src/circuit/gadget/ecc/chip/add_incomplete.rs deleted file mode 100644 index 5030d3e6..00000000 --- a/src/circuit/gadget/ecc/chip/add_incomplete.rs +++ /dev/null @@ -1,204 +0,0 @@ -use std::{array, collections::HashSet}; - -use super::NonIdentityEccPoint; -use ff::Field; -use group::Curve; -use halo2::{ - circuit::Region, - plonk::{Advice, Column, ConstraintSystem, Error, Selector}, - poly::Rotation, -}; -use pasta_curves::{arithmetic::CurveAffine, pallas}; - -#[derive(Clone, Copy, Debug, Eq, PartialEq)] -pub struct Config { - q_add_incomplete: Selector, - // x-coordinate of P in P + Q = R - pub x_p: Column, - // y-coordinate of P in P + Q = R - pub y_p: Column, - // x-coordinate of Q or R in P + Q = R - pub x_qr: Column, - // y-coordinate of Q or R in P + Q = R - pub y_qr: Column, -} - -impl Config { - pub(super) fn configure( - meta: &mut ConstraintSystem, - x_p: Column, - y_p: Column, - x_qr: Column, - y_qr: Column, - ) -> Self { - meta.enable_equality(x_p); - meta.enable_equality(y_p); - meta.enable_equality(x_qr); - meta.enable_equality(y_qr); - - let config = Self { - q_add_incomplete: meta.selector(), - x_p, - y_p, - x_qr, - y_qr, - }; - - config.create_gate(meta); - - config - } - - pub(crate) fn advice_columns(&self) -> HashSet> { - core::array::IntoIter::new([self.x_p, self.y_p, self.x_qr, self.y_qr]).collect() - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - meta.create_gate("incomplete addition gates", |meta| { - let q_add_incomplete = meta.query_selector(self.q_add_incomplete); - let x_p = meta.query_advice(self.x_p, Rotation::cur()); - let y_p = meta.query_advice(self.y_p, Rotation::cur()); - let x_q = meta.query_advice(self.x_qr, Rotation::cur()); - let y_q = meta.query_advice(self.y_qr, Rotation::cur()); - let x_r = meta.query_advice(self.x_qr, Rotation::next()); - let y_r = meta.query_advice(self.y_qr, Rotation::next()); - - // (x_r + x_q + x_p)⋅(x_p − x_q)^2 − (y_p − y_q)^2 = 0 - let poly1 = { - (x_r.clone() + x_q.clone() + x_p.clone()) - * (x_p.clone() - x_q.clone()) - * (x_p.clone() - x_q.clone()) - - (y_p.clone() - y_q.clone()).square() - }; - - // (y_r + y_q)(x_p − x_q) − (y_p − y_q)(x_q − x_r) = 0 - let poly2 = (y_r + y_q.clone()) * (x_p - x_q.clone()) - (y_p - y_q) * (x_q - x_r); - - array::IntoIter::new([("x_r", poly1), ("y_r", poly2)]) - .map(move |(name, poly)| (name, q_add_incomplete.clone() * poly)) - }); - } - - pub(super) fn assign_region( - &self, - p: &NonIdentityEccPoint, - q: &NonIdentityEccPoint, - offset: usize, - region: &mut Region<'_, pallas::Base>, - ) -> Result { - // Enable `q_add_incomplete` selector - self.q_add_incomplete.enable(region, offset)?; - - // Handle exceptional cases - let (x_p, y_p) = (p.x.value(), p.y.value()); - let (x_q, y_q) = (q.x.value(), q.y.value()); - x_p.zip(y_p) - .zip(x_q) - .zip(y_q) - .map(|(((x_p, y_p), x_q), y_q)| { - // P is point at infinity - if (x_p.is_zero_vartime() && y_p.is_zero_vartime()) - // Q is point at infinity - || (x_q.is_zero_vartime() && y_q.is_zero_vartime()) - // x_p = x_q - || (x_p == x_q) - { - Err(Error::Synthesis) - } else { - Ok(()) - } - }) - .transpose()?; - - // Copy point `p` into `x_p`, `y_p` columns - p.x.copy_advice(|| "x_p", region, self.x_p, offset)?; - p.y.copy_advice(|| "y_p", region, self.y_p, offset)?; - - // Copy point `q` into `x_qr`, `y_qr` columns - q.x.copy_advice(|| "x_q", region, self.x_qr, offset)?; - q.y.copy_advice(|| "y_q", region, self.y_qr, offset)?; - - // Compute the sum `P + Q = R` - let r = { - let p = p.point(); - let q = q.point(); - let r = p - .zip(q) - .map(|(p, q)| (p + q).to_affine().coordinates().unwrap()); - let r_x = r.map(|r| *r.x()); - let r_y = r.map(|r| *r.y()); - - (r_x, r_y) - }; - - // Assign the sum to `x_qr`, `y_qr` columns in the next row - let x_r = r.0; - let x_r_var = region.assign_advice( - || "x_r", - self.x_qr, - offset + 1, - || x_r.ok_or(Error::Synthesis), - )?; - - let y_r = r.1; - let y_r_var = region.assign_advice( - || "y_r", - self.y_qr, - offset + 1, - || y_r.ok_or(Error::Synthesis), - )?; - - let result = NonIdentityEccPoint { - x: x_r_var, - y: y_r_var, - }; - - Ok(result) - } -} - -#[cfg(test)] -pub mod tests { - use group::Curve; - use halo2::{circuit::Layouter, plonk::Error}; - use pasta_curves::pallas; - - use crate::circuit::gadget::ecc::{EccInstructions, NonIdentityPoint}; - - #[allow(clippy::too_many_arguments)] - pub fn test_add_incomplete< - EccChip: EccInstructions + Clone + Eq + std::fmt::Debug, - >( - chip: EccChip, - mut layouter: impl Layouter, - p_val: pallas::Affine, - p: &NonIdentityPoint, - q_val: pallas::Affine, - q: &NonIdentityPoint, - p_neg: &NonIdentityPoint, - test_errors: bool, - ) -> Result<(), Error> { - // P + Q - { - let result = p.add_incomplete(layouter.namespace(|| "P + Q"), q)?; - let witnessed_result = NonIdentityPoint::new( - chip, - layouter.namespace(|| "witnessed P + Q"), - Some((p_val + q_val).to_affine()), - )?; - result.constrain_equal(layouter.namespace(|| "constrain P + Q"), &witnessed_result)?; - } - - if test_errors { - // P + P should return an error - p.add_incomplete(layouter.namespace(|| "P + P"), p) - .expect_err("P + P should return an error"); - - // P + (-P) should return an error - p.add_incomplete(layouter.namespace(|| "P + (-P)"), p_neg) - .expect_err("P + (-P) should return an error"); - } - - Ok(()) - } -} diff --git a/src/circuit/gadget/ecc/chip/constants.rs b/src/circuit/gadget/ecc/chip/constants.rs deleted file mode 100644 index 081bbf6e..00000000 --- a/src/circuit/gadget/ecc/chip/constants.rs +++ /dev/null @@ -1,274 +0,0 @@ -use arrayvec::ArrayVec; -use group::{ - ff::{Field, PrimeField}, - Curve, -}; -use halo2::arithmetic::lagrange_interpolate; -use pasta_curves::{ - arithmetic::{CurveAffine, FieldExt}, - pallas, -}; - -/// Window size for fixed-base scalar multiplication -pub const FIXED_BASE_WINDOW_SIZE: usize = 3; - -/// $2^{`FIXED_BASE_WINDOW_SIZE`}$ -pub const H: usize = 1 << FIXED_BASE_WINDOW_SIZE; - -/// Number of windows for a full-width scalar -pub const NUM_WINDOWS: usize = - (pallas::Scalar::NUM_BITS as usize + FIXED_BASE_WINDOW_SIZE - 1) / FIXED_BASE_WINDOW_SIZE; - -/// Number of windows for a short signed scalar -pub const NUM_WINDOWS_SHORT: usize = - (L_SCALAR_SHORT + FIXED_BASE_WINDOW_SIZE - 1) / FIXED_BASE_WINDOW_SIZE; - -/// $\ell_\mathsf{value}$ -/// Number of bits in an unsigned short scalar. -pub(crate) const L_SCALAR_SHORT: usize = 64; - -/// The Pallas scalar field modulus is $q = 2^{254} + \mathsf{t_q}$. -/// -pub(crate) const T_Q: u128 = 45560315531506369815346746415080538113; - -/// The Pallas base field modulus is $p = 2^{254} + \mathsf{t_p}$. -/// -pub(crate) const T_P: u128 = 45560315531419706090280762371685220353; - -/// For each fixed base, we calculate its scalar multiples in three-bit windows. -/// Each window will have $2^3 = 8$ points. The tables are computed as described in -/// [the Orchard book](https://zcash.github.io/orchard/design/circuit/gadgets/ecc/fixed-base-scalar-mul.html#load-fixed-base). -fn compute_window_table(base: C, num_windows: usize) -> Vec<[C; H]> { - let mut window_table: Vec<[C; H]> = Vec::with_capacity(num_windows); - - // Generate window table entries for all windows but the last. - // For these first `num_windows - 1` windows, we compute the multiple [(k+2)*(2^3)^w]B. - // Here, w ranges from [0..`num_windows - 1`) - for w in 0..(num_windows - 1) { - window_table.push( - (0..H) - .map(|k| { - // scalar = (k+2)*(8^w) - let scalar = C::Scalar::from(k as u64 + 2) - * C::Scalar::from(H as u64).pow(&[w as u64, 0, 0, 0]); - (base * scalar).to_affine() - }) - .collect::>() - .into_inner() - .unwrap(), - ); - } - - // Generate window table entries for the last window, w = `num_windows - 1`. - // For the last window, we compute [k * (2^3)^w - sum]B, where sum is defined - // as sum = \sum_{j = 0}^{`num_windows - 2`} 2^{3j+1} - let sum = (0..(num_windows - 1)).fold(C::Scalar::zero(), |acc, j| { - acc + C::Scalar::from(2).pow(&[FIXED_BASE_WINDOW_SIZE as u64 * j as u64 + 1, 0, 0, 0]) - }); - window_table.push( - (0..H) - .map(|k| { - // scalar = k * (2^3)^w - sum, where w = `num_windows - 1` - let scalar = C::Scalar::from(k as u64) - * C::Scalar::from(H as u64).pow(&[(num_windows - 1) as u64, 0, 0, 0]) - - sum; - (base * scalar).to_affine() - }) - .collect::>() - .into_inner() - .unwrap(), - ); - - window_table -} - -/// For each window, we interpolate the $x$-coordinate. -/// Here, we pre-compute and store the coefficients of the interpolation polynomial. -pub fn compute_lagrange_coeffs(base: C, num_windows: usize) -> Vec<[C::Base; H]> { - // We are interpolating over the 3-bit window, k \in [0..8) - let points: Vec<_> = (0..H).map(|i| C::Base::from(i as u64)).collect(); - - let window_table = compute_window_table(base, num_windows); - - window_table - .iter() - .map(|window_points| { - let x_window_points: Vec<_> = window_points - .iter() - .map(|point| *point.coordinates().unwrap().x()) - .collect(); - lagrange_interpolate(&points, &x_window_points) - .into_iter() - .collect::>() - .into_inner() - .unwrap() - }) - .collect() -} - -/// For each window, $z$ is a field element such that for each point $(x, y)$ in the window: -/// - $z + y = u^2$ (some square in the field); and -/// - $z - y$ is not a square. -/// If successful, return a vector of `(z: u64, us: [C::Base; H])` for each window. -/// -/// This function was used to generate the `z`s and `u`s for the Orchard fixed -/// bases. The outputs of this function have been stored as constants, and it -/// is not called anywhere in this codebase. However, we keep this function here -/// as a utility for those who wish to use it with different parameters. -pub fn find_zs_and_us( - base: C, - num_windows: usize, -) -> Option> { - // Closure to find z and u's for one window - let find_z_and_us = |window_points: &[C]| { - assert_eq!(H, window_points.len()); - - let ys: Vec<_> = window_points - .iter() - .map(|point| *point.coordinates().unwrap().y()) - .collect(); - (0..(1000 * (1 << (2 * H)))).find_map(|z| { - ys.iter() - .map(|&y| { - if (-y + C::Base::from(z)).sqrt().is_none().into() { - (y + C::Base::from(z)).sqrt().into() - } else { - None - } - }) - .collect::>>() - .map(|us| (z, us.into_inner().unwrap())) - }) - }; - - let window_table = compute_window_table(base, num_windows); - window_table - .iter() - .map(|window_points| find_z_and_us(window_points)) - .collect() -} - -// Test that the z-values and u-values satisfy the conditions: -// 1. z + y = u^2, -// 2. z - y is not a square -// for the y-coordinate of each fixed-base multiple in each window. -pub fn test_zs_and_us(base: C, z: &[u64], u: &[[[u8; 32]; H]], num_windows: usize) { - let window_table = compute_window_table(base, num_windows); - - for ((u, z), window_points) in u.iter().zip(z.iter()).zip(window_table) { - for (u, point) in u.iter().zip(window_points.iter()) { - let y = *point.coordinates().unwrap().y(); - let u = C::Base::from_bytes(u).unwrap(); - assert_eq!(C::Base::from_u64(*z) + y, u * u); // allow either square root - assert!(bool::from((C::Base::from_u64(*z) - y).sqrt().is_none())); - } - } -} - -// Test that Lagrange interpolation coefficients reproduce the correct x-coordinate -// for each fixed-base multiple in each window. -pub fn test_lagrange_coeffs(base: C, num_windows: usize) { - /// Evaluate y = f(x) given the coefficients of f(x) - fn evaluate(x: u8, coeffs: &[C::Base]) -> C::Base { - let x = C::Base::from(x as u64); - coeffs - .iter() - .rev() - .cloned() - .reduce(|acc, coeff| acc * x + coeff) - .unwrap_or_else(C::Base::zero) - } - - let lagrange_coeffs = compute_lagrange_coeffs(base, num_windows); - - // Check first 84 windows, i.e. `k_0, k_1, ..., k_83` - for (idx, coeffs) in lagrange_coeffs[0..(num_windows - 1)].iter().enumerate() { - // Test each three-bit chunk in this window. - for bits in 0..(H as u8) { - { - // Interpolate the x-coordinate using this window's coefficients - let interpolated_x = evaluate::(bits, coeffs); - - // Compute the actual x-coordinate of the multiple [(k+2)*(8^w)]B. - let point = base - * C::Scalar::from(bits as u64 + 2) - * C::Scalar::from(H as u64).pow(&[idx as u64, 0, 0, 0]); - let x = *point.to_affine().coordinates().unwrap().x(); - - // Check that the interpolated x-coordinate matches the actual one. - assert_eq!(x, interpolated_x); - } - } - } - - // Check last window. - for bits in 0..(H as u8) { - // Interpolate the x-coordinate using the last window's coefficients - let interpolated_x = evaluate::(bits, &lagrange_coeffs[num_windows - 1]); - - // Compute the actual x-coordinate of the multiple [k * (8^84) - offset]B, - // where offset = \sum_{j = 0}^{83} 2^{3j+1} - let offset = (0..(num_windows - 1)).fold(C::Scalar::zero(), |acc, w| { - acc + C::Scalar::from(2).pow(&[FIXED_BASE_WINDOW_SIZE as u64 * w as u64 + 1, 0, 0, 0]) - }); - let scalar = C::Scalar::from(bits as u64) - * C::Scalar::from(H as u64).pow(&[(num_windows - 1) as u64, 0, 0, 0]) - - offset; - let point = base * scalar; - let x = *point.to_affine().coordinates().unwrap().x(); - - // Check that the interpolated x-coordinate matches the actual one. - assert_eq!(x, interpolated_x); - } -} - -#[cfg(test)] -mod tests { - use group::{ff::Field, Curve, Group}; - use pasta_curves::{ - arithmetic::{CurveAffine, FieldExt}, - pallas, - }; - use proptest::prelude::*; - - use super::{compute_window_table, find_zs_and_us, test_lagrange_coeffs, H, NUM_WINDOWS}; - - prop_compose! { - /// Generate an arbitrary Pallas point. - pub fn arb_point()(bytes in prop::array::uniform32(0u8..)) -> pallas::Point { - // Instead of rejecting out-of-range bytes, let's reduce them. - let mut buf = [0; 64]; - buf[..32].copy_from_slice(&bytes); - let scalar = pallas::Scalar::from_bytes_wide(&buf); - pallas::Point::generator() * scalar - } - } - - proptest! { - #[test] - fn lagrange_coeffs( - base in arb_point(), - ) { - test_lagrange_coeffs(base.to_affine(), NUM_WINDOWS); - } - } - - #[test] - fn zs_and_us() { - let base = pallas::Point::random(rand::rngs::OsRng); - let (z, u): (Vec, Vec<[pallas::Base; H]>) = - find_zs_and_us(base.to_affine(), NUM_WINDOWS) - .unwrap() - .into_iter() - .unzip(); - let window_table = compute_window_table(base.to_affine(), NUM_WINDOWS); - - for ((u, z), window_points) in u.iter().zip(z.iter()).zip(window_table) { - for (u, point) in u.iter().zip(window_points.iter()) { - let y = *point.coordinates().unwrap().y(); - assert_eq!(pallas::Base::from(*z) + y, u * u); // allow either square root - assert!(bool::from((pallas::Base::from(*z) - y).sqrt().is_none())); - } - } - } -} diff --git a/src/circuit/gadget/ecc/chip/mul.rs b/src/circuit/gadget/ecc/chip/mul.rs deleted file mode 100644 index 9779fb22..00000000 --- a/src/circuit/gadget/ecc/chip/mul.rs +++ /dev/null @@ -1,566 +0,0 @@ -use super::{add, EccPoint, NonIdentityEccPoint, T_Q}; -use crate::{ - circuit::gadget::utilities::{bool_check, lookup_range_check::LookupRangeCheckConfig, ternary}, - primitives::sinsemilla, -}; -use std::{ - convert::TryInto, - ops::{Deref, Range}, -}; - -use bigint::U256; -use ff::PrimeField; -use halo2::{ - arithmetic::FieldExt, - circuit::{AssignedCell, Layouter, Region}, - plonk::{Advice, Column, ConstraintSystem, Error, Selector}, - poly::Rotation, -}; - -use pasta_curves::pallas; - -mod complete; -mod incomplete; -mod overflow; - -/// Number of bits for which complete addition needs to be used in variable-base -/// scalar multiplication -const NUM_COMPLETE_BITS: usize = 3; - -// Bits used in incomplete addition. k_{254} to k_{4} inclusive -const INCOMPLETE_LEN: usize = pallas::Scalar::NUM_BITS as usize - 1 - NUM_COMPLETE_BITS; -const INCOMPLETE_RANGE: Range = 0..INCOMPLETE_LEN; - -// Bits k_{254} to k_{4} inclusive are used in incomplete addition. -// The `hi` half is k_{254} to k_{130} inclusive (length 125 bits). -// (It is a coincidence that k_{130} matches the boundary of the -// overflow check described in [the book](https://zcash.github.io/halo2/design/gadgets/ecc/var-base-scalar-mul.html#overflow-check).) -const INCOMPLETE_HI_RANGE: Range = 0..(INCOMPLETE_LEN / 2); -const INCOMPLETE_HI_LEN: usize = INCOMPLETE_LEN / 2; - -// Bits k_{254} to k_{4} inclusive are used in incomplete addition. -// The `lo` half is k_{129} to k_{4} inclusive (length 126 bits). -const INCOMPLETE_LO_RANGE: Range = INCOMPLETE_HI_LEN..INCOMPLETE_LEN; -const INCOMPLETE_LO_LEN: usize = INCOMPLETE_LEN - INCOMPLETE_HI_LEN; - -// Bits k_{3} to k_{1} inclusive are used in complete addition. -// Bit k_{0} is handled separately. -const COMPLETE_RANGE: Range = INCOMPLETE_LEN..(INCOMPLETE_LEN + NUM_COMPLETE_BITS); - -#[derive(Copy, Clone, Debug, Eq, PartialEq)] -pub struct Config { - // Selector used to check switching logic on LSB - q_mul_lsb: Selector, - // Configuration used in complete addition - add_config: add::Config, - // Configuration used for `hi` bits of the scalar - hi_config: incomplete::Config, - // Configuration used for `lo` bits of the scalar - lo_config: incomplete::Config, - // Configuration used for complete addition part of double-and-add algorithm - complete_config: complete::Config, - // Configuration used to check for overflow - overflow_config: overflow::Config, -} - -impl Config { - pub(super) fn configure( - meta: &mut ConstraintSystem, - add_config: add::Config, - lookup_config: LookupRangeCheckConfig, - advices: [Column; 10], - ) -> Self { - let hi_config = incomplete::Config::configure( - meta, advices[9], advices[3], advices[0], advices[1], advices[4], advices[5], - ); - let lo_config = incomplete::Config::configure( - meta, advices[6], advices[7], advices[0], advices[1], advices[8], advices[2], - ); - let complete_config = complete::Config::configure(meta, advices[9], add_config); - let overflow_config = - overflow::Config::configure(meta, lookup_config, advices[6..9].try_into().unwrap()); - - let config = Self { - q_mul_lsb: meta.selector(), - add_config, - hi_config, - lo_config, - complete_config, - overflow_config, - }; - - config.create_gate(meta); - - assert_eq!( - config.hi_config.x_p, config.lo_config.x_p, - "x_p is shared across hi and lo halves." - ); - assert_eq!( - config.hi_config.y_p, config.lo_config.y_p, - "y_p is shared across hi and lo halves." - ); - - // For both hi_config and lo_config: - // z and lambda1 are assigned on the same row as the add_config output. - // Therefore, z and lambda1 must not overlap with add_config.x_qr, add_config.y_qr. - let add_config_outputs = config.add_config.output_columns(); - { - assert!( - !add_config_outputs.contains(&config.hi_config.z), - "incomplete config z cannot overlap with complete addition columns." - ); - assert!( - !add_config_outputs.contains(&config.hi_config.lambda1), - "incomplete config lambda1 cannot overlap with complete addition columns." - ); - } - { - assert!( - !add_config_outputs.contains(&config.lo_config.z), - "incomplete config z cannot overlap with complete addition columns." - ); - assert!( - !add_config_outputs.contains(&config.lo_config.lambda1), - "incomplete config lambda1 cannot overlap with complete addition columns." - ); - } - - config - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - // If `lsb` is 0, (x, y) = (x_p, -y_p). If `lsb` is 1, (x, y) = (0,0). - meta.create_gate("LSB check", |meta| { - let q_mul_lsb = meta.query_selector(self.q_mul_lsb); - - let z_1 = meta.query_advice(self.complete_config.z_complete, Rotation::cur()); - let z_0 = meta.query_advice(self.complete_config.z_complete, Rotation::next()); - let x_p = meta.query_advice(self.add_config.x_p, Rotation::cur()); - let y_p = meta.query_advice(self.add_config.y_p, Rotation::cur()); - let base_x = meta.query_advice(self.add_config.x_p, Rotation::next()); - let base_y = meta.query_advice(self.add_config.y_p, Rotation::next()); - - // z_0 = 2 * z_1 + k_0 - // => k_0 = z_0 - 2 * z_1 - let lsb = z_0 - z_1 * pallas::Base::from(2); - - let bool_check = bool_check(lsb.clone()); - - // `lsb` = 0 => (x_p, y_p) = (x, -y) - // `lsb` = 1 => (x_p, y_p) = (0,0) - let lsb_x = ternary(lsb.clone(), x_p.clone(), x_p - base_x); - let lsb_y = ternary(lsb, y_p.clone(), y_p + base_y); - - std::array::IntoIter::new([ - ("bool_check", bool_check), - ("lsb_x", lsb_x), - ("lsb_y", lsb_y), - ]) - .map(move |(name, poly)| (name, q_mul_lsb.clone() * poly)) - }); - } - - pub(super) fn assign( - &self, - mut layouter: impl Layouter, - alpha: AssignedCell, - base: &NonIdentityEccPoint, - ) -> Result<(EccPoint, AssignedCell), Error> { - let (result, zs): (EccPoint, Vec>) = layouter.assign_region( - || "variable-base scalar mul", - |mut region| { - let offset = 0; - - // Case `base` into an `EccPoint` for later use. - let base_point: EccPoint = base.clone().into(); - - // Decompose `k = alpha + t_q` bitwise (big-endian bit order). - let bits = decompose_for_scalar_mul(alpha.value()); - - // Define ranges for each part of the algorithm. - let bits_incomplete_hi = &bits[INCOMPLETE_HI_RANGE]; - let bits_incomplete_lo = &bits[INCOMPLETE_LO_RANGE]; - let lsb = bits[pallas::Scalar::NUM_BITS as usize - 1]; - - // Initialize the accumulator `acc = [2]base` - let acc = - self.add_config - .assign_region(&base_point, &base_point, offset, &mut region)?; - - // Increase the offset by 1 after complete addition. - let offset = offset + 1; - - // Initialize the running sum for scalar decomposition to zero - let z_init = Z(region.assign_advice_from_constant( - || "z_init = 0", - self.hi_config.z, - offset, - pallas::Base::zero(), - )?); - - // Double-and-add (incomplete addition) for the `hi` half of the scalar decomposition - let (x_a, y_a, zs_incomplete_hi) = self.hi_config.double_and_add( - &mut region, - offset, - base, - bits_incomplete_hi, - (X(acc.x), Y(acc.y), z_init.clone()), - )?; - - // Double-and-add (incomplete addition) for the `lo` half of the scalar decomposition - let z = zs_incomplete_hi.last().expect("should not be empty"); - let (x_a, y_a, zs_incomplete_lo) = self.lo_config.double_and_add( - &mut region, - offset, - base, - bits_incomplete_lo, - (x_a, y_a, z.clone()), - )?; - - // Move from incomplete addition to complete addition. - // Inside incomplete::double_and_add, the offset was increased once after initialization - // of the running sum. - // Then, the final assignment of double-and-add was made on row + offset + 1. - // Outside of incomplete addition, we must account for these offset increases by adding - // 2 to the incomplete addition length. - let offset = offset + INCOMPLETE_LO_RANGE.len() + 2; - - // Complete addition - let (acc, zs_complete) = { - let z = zs_incomplete_lo.last().expect("should not be empty"); - // Bits used in complete addition. k_{3} to k_{1} inclusive - // The LSB k_{0} is handled separately. - let bits_complete = &bits[COMPLETE_RANGE]; - self.complete_config.assign_region( - &mut region, - offset, - bits_complete, - &base_point, - x_a, - y_a, - z.clone(), - )? - }; - - // Each iteration of the complete addition uses two rows. - let offset = offset + COMPLETE_RANGE.len() * 2; - - // Process the least significant bit - let z_1 = zs_complete.last().unwrap().clone(); - let (result, z_0) = self.process_lsb(&mut region, offset, base, acc, z_1, lsb)?; - - #[cfg(test)] - // Check that the correct multiple is obtained. - { - use group::Curve; - - let base = base.point(); - let alpha = alpha - .value() - .map(|alpha| pallas::Scalar::from_repr(alpha.to_repr()).unwrap()); - let real_mul = base.zip(alpha).map(|(base, alpha)| base * alpha); - let result = result.point(); - - if let (Some(real_mul), Some(result)) = (real_mul, result) { - assert_eq!(real_mul.to_affine(), result); - } - } - - let zs = { - let mut zs = std::iter::empty() - .chain(Some(z_init)) - .chain(zs_incomplete_hi.into_iter()) - .chain(zs_incomplete_lo.into_iter()) - .chain(zs_complete.into_iter()) - .chain(Some(z_0)) - .collect::>(); - assert_eq!(zs.len(), pallas::Scalar::NUM_BITS as usize + 1); - - // This reverses zs to give us [z_0, z_1, ..., z_{254}, z_{255}]. - zs.reverse(); - zs - }; - - Ok((result, zs)) - }, - )?; - - self.overflow_config.overflow_check( - layouter.namespace(|| "overflow check"), - alpha.clone(), - &zs, - )?; - - Ok((result, alpha)) - } - - /// Processes the final scalar bit `k_0`. - /// - /// Assumptions for this sub-region: - /// - `acc_x` and `acc_y` are assigned in row `offset` by the previous complete - /// addition. They will be copied into themselves. - /// - `z_1 is assigned in row `offset` by the mul::complete region assignment. We only - /// use its value here. - /// - /// `x_p` and `y_p` are assigned here, and then copied into themselves by the complete - /// addition subregion. - /// - /// ```text - /// | x_p | y_p | acc_x | acc_y | complete addition | z_1 | q_mul_lsb = 1 - /// |base_x|base_y| res_x | res_y | | | | | | z_0 | - /// ``` - fn process_lsb( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - base: &NonIdentityEccPoint, - acc: EccPoint, - z_1: Z, - lsb: Option, - ) -> Result<(EccPoint, Z), Error> { - // Enforce switching logic on LSB using a custom gate - self.q_mul_lsb.enable(region, offset)?; - - // z_1 has been assigned at (z_complete, offset). - // Assign z_0 = 2⋅z_1 + k_0 - let z_0 = { - let z_0_val = z_1.value().zip(lsb).map(|(z_1, lsb)| { - let lsb = pallas::Base::from(lsb as u64); - z_1 * pallas::Base::from(2) + lsb - }); - let z_0_cell = region.assign_advice( - || "z_0", - self.complete_config.z_complete, - offset + 1, - || z_0_val.ok_or(Error::Synthesis), - )?; - - Z(z_0_cell) - }; - - // Copy in `base_x`, `base_y` to use in the LSB gate - base.x() - .copy_advice(|| "copy base_x", region, self.add_config.x_p, offset + 1)?; - base.y() - .copy_advice(|| "copy base_y", region, self.add_config.y_p, offset + 1)?; - - // If `lsb` is 0, return `Acc + (-P)`. If `lsb` is 1, simply return `Acc + 0`. - let x = if let Some(lsb) = lsb { - if !lsb { - base.x.value().cloned() - } else { - Some(pallas::Base::zero()) - } - } else { - None - }; - - let y = if let Some(lsb) = lsb { - if !lsb { - base.y.value().map(|y_p| -y_p) - } else { - Some(pallas::Base::zero()) - } - } else { - None - }; - - let x_cell = region.assign_advice( - || "x", - self.add_config.x_p, - offset, - || x.ok_or(Error::Synthesis), - )?; - - let y_cell = region.assign_advice( - || "y", - self.add_config.y_p, - offset, - || y.ok_or(Error::Synthesis), - )?; - - let p = EccPoint { - x: x_cell, - y: y_cell, - }; - - // Return the result of the final complete addition as `[scalar]B` - let result = self.add_config.assign_region(&p, &acc, offset, region)?; - - Ok((result, z_0)) - } -} - -#[derive(Clone, Debug)] -// `x`-coordinate of the accumulator. -struct X(AssignedCell); -impl Deref for X { - type Target = AssignedCell; - - fn deref(&self) -> &Self::Target { - &self.0 - } -} - -#[derive(Clone, Debug)] -// `y`-coordinate of the accumulator. -struct Y(AssignedCell); -impl Deref for Y { - type Target = AssignedCell; - - fn deref(&self) -> &Self::Target { - &self.0 - } -} - -#[derive(Clone, Debug)] -// Cumulative sum `z` used to decompose the scalar. -struct Z(AssignedCell); -impl Deref for Z { - type Target = AssignedCell; - - fn deref(&self) -> &Self::Target { - &self.0 - } -} - -fn decompose_for_scalar_mul(scalar: Option<&pallas::Base>) -> Vec> { - let bitstring = scalar.map(|scalar| { - // We use `k = scalar + t_q` in the double-and-add algorithm, where - // the scalar field `F_q = 2^254 + t_q`. - // Note that the addition `scalar + t_q` is not reduced. - // - let scalar = U256::from_little_endian(&scalar.to_repr()); - let t_q = U256::from_little_endian(&T_Q.to_le_bytes()); - let k = scalar + t_q; - - // Big-endian bit representation of `k`. - let bitstring: Vec = { - let mut le_bytes = [0u8; 32]; - k.to_little_endian(&mut le_bytes); - le_bytes.iter().fold(Vec::new(), |mut bitstring, byte| { - let bits = (0..8) - .map(|shift| (byte >> shift) % 2 == 1) - .collect::>(); - bitstring.extend_from_slice(&bits); - bitstring - }) - }; - - // Take the first 255 bits. - let mut bitstring = bitstring[0..pallas::Scalar::NUM_BITS as usize].to_vec(); - bitstring.reverse(); - bitstring - }); - - if let Some(bitstring) = bitstring { - bitstring.into_iter().map(Some).collect() - } else { - vec![None; pallas::Scalar::NUM_BITS as usize] - } -} - -#[cfg(test)] -pub mod tests { - use group::{ - ff::{Field, PrimeField}, - Curve, - }; - use halo2::{ - circuit::{Chip, Layouter}, - plonk::Error, - }; - use pasta_curves::pallas; - use rand::rngs::OsRng; - - use crate::circuit::gadget::{ - ecc::{ - chip::{EccChip, EccPoint}, - EccInstructions, NonIdentityPoint, Point, - }, - utilities::UtilitiesInstructions, - }; - use crate::constants::OrchardFixedBases; - - pub fn test_mul( - chip: EccChip, - mut layouter: impl Layouter, - p: &NonIdentityPoint>, - p_val: pallas::Affine, - ) -> Result<(), Error> { - let column = chip.config().advices[0]; - - fn constrain_equal_non_id< - EccChip: EccInstructions + Clone + Eq + std::fmt::Debug, - >( - chip: EccChip, - mut layouter: impl Layouter, - base_val: pallas::Affine, - scalar_val: pallas::Base, - result: Point, - ) -> Result<(), Error> { - // Move scalar from base field into scalar field (which always fits - // for Pallas). - let scalar = pallas::Scalar::from_repr(scalar_val.to_repr()).unwrap(); - let expected = NonIdentityPoint::new( - chip, - layouter.namespace(|| "expected point"), - Some((base_val * scalar).to_affine()), - )?; - result.constrain_equal(layouter.namespace(|| "constrain result"), &expected) - } - - // [a]B - { - let scalar_val = pallas::Base::random(OsRng); - let (result, _) = { - let scalar = chip.load_private( - layouter.namespace(|| "random scalar"), - column, - Some(scalar_val), - )?; - p.mul(layouter.namespace(|| "random [a]B"), &scalar)? - }; - constrain_equal_non_id( - chip.clone(), - layouter.namespace(|| "random [a]B"), - p_val, - scalar_val, - result, - )?; - } - - // [0]B should return (0,0) since variable-base scalar multiplication - // uses complete addition for the final bits of the scalar. - { - let scalar_val = pallas::Base::zero(); - let (result, _) = { - let scalar = - chip.load_private(layouter.namespace(|| "zero"), column, Some(scalar_val))?; - p.mul(layouter.namespace(|| "[0]B"), &scalar)? - }; - if let Some(is_identity) = result.inner().is_identity() { - assert!(is_identity); - } - } - - // [-1]B (the largest possible base field element) - { - let scalar_val = -pallas::Base::one(); - let (result, _) = { - let scalar = - chip.load_private(layouter.namespace(|| "-1"), column, Some(scalar_val))?; - p.mul(layouter.namespace(|| "[-1]B"), &scalar)? - }; - constrain_equal_non_id( - chip, - layouter.namespace(|| "[-1]B"), - p_val, - scalar_val, - result, - )?; - } - - Ok(()) - } -} diff --git a/src/circuit/gadget/ecc/chip/mul/complete.rs b/src/circuit/gadget/ecc/chip/mul/complete.rs deleted file mode 100644 index 2bf10e84..00000000 --- a/src/circuit/gadget/ecc/chip/mul/complete.rs +++ /dev/null @@ -1,195 +0,0 @@ -use super::super::{add, EccPoint}; -use super::{COMPLETE_RANGE, X, Y, Z}; -use crate::circuit::gadget::utilities::{bool_check, ternary}; - -use halo2::{ - circuit::Region, - plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector}, - poly::Rotation, -}; - -use pasta_curves::pallas; - -#[derive(Copy, Clone, Debug, Eq, PartialEq)] -pub struct Config { - // Selector used to constrain the cells used in complete addition. - q_mul_decompose_var: Selector, - // Advice column used to decompose scalar in complete addition. - pub z_complete: Column, - // Configuration used in complete addition - add_config: add::Config, -} - -impl Config { - pub(super) fn configure( - meta: &mut ConstraintSystem, - z_complete: Column, - add_config: add::Config, - ) -> Self { - meta.enable_equality(z_complete); - - let config = Self { - q_mul_decompose_var: meta.selector(), - z_complete, - add_config, - }; - - config.create_gate(meta); - - config - } - - /// Gate used to check scalar decomposition is correct. - /// This is used to check the bits used in complete addition, since the incomplete - /// addition gate (controlled by `q_mul`) already checks scalar decomposition for - /// the other bits. - fn create_gate(&self, meta: &mut ConstraintSystem) { - // | y_p | z_complete | - // -------------------- - // | y_p | z_{i + 1} | - // | | base_y | - // | | z_i | - meta.create_gate( - "Decompose scalar for complete bits of variable-base mul", - |meta| { - let q_mul_decompose_var = meta.query_selector(self.q_mul_decompose_var); - // z_{i + 1} - let z_prev = meta.query_advice(self.z_complete, Rotation::prev()); - // z_i - let z_next = meta.query_advice(self.z_complete, Rotation::next()); - - // k_{i} = z_{i} - 2⋅z_{i+1} - let k = z_next - Expression::Constant(pallas::Base::from(2)) * z_prev; - // (k_i) ⋅ (1 - k_i) = 0 - let bool_check = bool_check(k.clone()); - - // base_y - let base_y = meta.query_advice(self.z_complete, Rotation::cur()); - // y_p - let y_p = meta.query_advice(self.add_config.y_p, Rotation::prev()); - - // k_i = 0 => y_p = -base_y - // k_i = 1 => y_p = base_y - let y_switch = ternary(k, base_y.clone() - y_p.clone(), base_y + y_p); - - std::array::IntoIter::new([("bool_check", bool_check), ("y_switch", y_switch)]) - .map(move |(name, poly)| (name, q_mul_decompose_var.clone() * poly)) - }, - ); - } - - #[allow(clippy::type_complexity)] - #[allow(non_snake_case)] - #[allow(clippy::too_many_arguments)] - pub(super) fn assign_region( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - bits: &[Option], - base: &EccPoint, - x_a: X, - y_a: Y, - z: Z, - ) -> Result<(EccPoint, Vec>), Error> { - // Make sure we have the correct number of bits for the complete addition - // part of variable-base scalar mul. - assert_eq!(bits.len(), COMPLETE_RANGE.len()); - - // Enable selectors for complete range - for row in 0..COMPLETE_RANGE.len() { - // Each iteration uses 2 rows (two complete additions) - let row = 2 * row; - // Check scalar decomposition for each iteration. Since the gate enabled by - // `q_mul_decompose_var` queries the previous row, we enable the selector on - // `row + offset + 1` (instead of `row + offset`). - self.q_mul_decompose_var.enable(region, row + offset + 1)?; - } - - // Use x_a, y_a output from incomplete addition - let mut acc = EccPoint { x: x_a.0, y: y_a.0 }; - - // Copy running sum `z` from incomplete addition - let mut z = { - let z = z.copy_advice( - || "Copy `z` running sum from incomplete addition", - region, - self.z_complete, - offset, - )?; - Z(z) - }; - - // Store interstitial running sum `z`s in vector - let mut zs: Vec> = Vec::with_capacity(bits.len()); - - // Complete addition - for (iter, k) in bits.iter().enumerate() { - // Each iteration uses 2 rows (two complete additions) - let row = 2 * iter; - - // | x_p | y_p | x_qr | y_qr | z_complete | - // ------------------------------------------ - // | U_x | U_y | acc_x | acc_y | z_{i + 1} | row + offset - // |acc_x|acc_y|acc+U_x|acc+U_y| base_y | - // | | | res_x | res_y | z_i | - - // Update `z`. - z = { - // z_next = z_cur * 2 + k_next - let z_val = z.value().zip(k.as_ref()).map(|(z_val, k)| { - pallas::Base::from(2) * z_val + pallas::Base::from(*k as u64) - }); - let z_cell = region.assign_advice( - || "z", - self.z_complete, - row + offset + 2, - || z_val.ok_or(Error::Synthesis), - )?; - Z(z_cell) - }; - zs.push(z.clone()); - - // Assign `y_p` for complete addition. - let y_p = { - let base_y = base.y.copy_advice( - || "Copy `base.y`", - region, - self.z_complete, - row + offset + 1, - )?; - - // If the bit is set, use `y`; if the bit is not set, use `-y` - let y_p = - base_y - .value() - .cloned() - .zip(k.as_ref()) - .map(|(base_y, k)| if !k { -base_y } else { base_y }); - - region.assign_advice( - || "y_p", - self.add_config.y_p, - row + offset, - || y_p.ok_or(Error::Synthesis), - )? - }; - - // U = P if the bit is set; U = -P is the bit is not set. - let U = EccPoint { - x: base.x.clone(), - y: y_p, - }; - - // Acc + U - let tmp_acc = self - .add_config - .assign_region(&U, &acc, row + offset, region)?; - - // Acc + U + Acc - acc = self - .add_config - .assign_region(&acc, &tmp_acc, row + offset + 1, region)?; - } - Ok((acc, zs)) - } -} diff --git a/src/circuit/gadget/ecc/chip/mul/incomplete.rs b/src/circuit/gadget/ecc/chip/mul/incomplete.rs deleted file mode 100644 index 76834fbb..00000000 --- a/src/circuit/gadget/ecc/chip/mul/incomplete.rs +++ /dev/null @@ -1,343 +0,0 @@ -use super::super::NonIdentityEccPoint; -use super::{X, Y, Z}; -use crate::circuit::gadget::utilities::bool_check; -use ff::Field; -use halo2::{ - circuit::Region, - plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector, VirtualCells}, - poly::Rotation, -}; - -use pasta_curves::{arithmetic::FieldExt, pallas}; - -#[derive(Copy, Clone, Debug, Eq, PartialEq)] -pub(crate) struct Config { - // Selectors used to constrain the cells used in incomplete addition. - pub(super) q_mul: (Selector, Selector, Selector), - // Cumulative sum used to decompose the scalar. - pub(super) z: Column, - // x-coordinate of the accumulator in each double-and-add iteration. - pub(super) x_a: Column, - // x-coordinate of the point being added in each double-and-add iteration. - pub(super) x_p: Column, - // y-coordinate of the point being added in each double-and-add iteration. - pub(super) y_p: Column, - // lambda1 in each double-and-add iteration. - pub(super) lambda1: Column, - // lambda2 in each double-and-add iteration. - pub(super) lambda2: Column, -} - -impl Config { - pub(super) fn configure( - meta: &mut ConstraintSystem, - z: Column, - x_a: Column, - x_p: Column, - y_p: Column, - lambda1: Column, - lambda2: Column, - ) -> Self { - meta.enable_equality(z); - meta.enable_equality(lambda1); - - let config = Self { - q_mul: (meta.selector(), meta.selector(), meta.selector()), - z, - x_a, - x_p, - y_p, - lambda1, - lambda2, - }; - - config.create_gate(meta); - - config - } - - // Gate for incomplete addition part of variable-base scalar multiplication. - fn create_gate(&self, meta: &mut ConstraintSystem) { - // Closure to compute x_{R,i} = λ_{1,i}^2 - x_{A,i} - x_{P,i} - let x_r = |meta: &mut VirtualCells, rotation: Rotation| { - let x_a = meta.query_advice(self.x_a, rotation); - let x_p = meta.query_advice(self.x_p, rotation); - let lambda_1 = meta.query_advice(self.lambda1, rotation); - lambda_1.square() - x_a - x_p - }; - - // Closure to compute y_{A,i} = (λ_{1,i} + λ_{2,i}) * (x_{A,i} - x_{R,i}) / 2 - let y_a = |meta: &mut VirtualCells, rotation: Rotation| { - let x_a = meta.query_advice(self.x_a, rotation); - let lambda_1 = meta.query_advice(self.lambda1, rotation); - let lambda_2 = meta.query_advice(self.lambda2, rotation); - - (lambda_1 + lambda_2) * (x_a - x_r(meta, rotation)) * pallas::Base::TWO_INV - }; - - // Constraints used for q_mul_{2, 3} == 1 - let for_loop = |meta: &mut VirtualCells, - q_mul: Expression, - y_a_next: Expression| { - let one = Expression::Constant(pallas::Base::one()); - - // z_i - let z_cur = meta.query_advice(self.z, Rotation::cur()); - // z_{i+1} - let z_prev = meta.query_advice(self.z, Rotation::prev()); - // x_{A,i} - let x_a_cur = meta.query_advice(self.x_a, Rotation::cur()); - // x_{A,i-1} - let x_a_next = meta.query_advice(self.x_a, Rotation::next()); - // x_{P,i} - let x_p_cur = meta.query_advice(self.x_p, Rotation::cur()); - // y_{P,i} - let y_p_cur = meta.query_advice(self.y_p, Rotation::cur()); - // λ_{1,i} - let lambda1_cur = meta.query_advice(self.lambda1, Rotation::cur()); - // λ_{2,i} - let lambda2_cur = meta.query_advice(self.lambda2, Rotation::cur()); - - let y_a_cur = y_a(meta, Rotation::cur()); - - // The current bit in the scalar decomposition, k_i = z_i - 2⋅z_{i+1}. - // Recall that we assigned the cumulative variable `z_i` in descending order, - // i from n down to 0. So z_{i+1} corresponds to the `z_prev` query. - let k = z_cur - z_prev * pallas::Base::from(2); - // Check booleanity of decomposition. - let bool_check = bool_check(k.clone()); - - // λ_{1,i}⋅(x_{A,i} − x_{P,i}) − y_{A,i} + (2k_i - 1) y_{P,i} = 0 - let gradient_1 = lambda1_cur * (x_a_cur.clone() - x_p_cur) - y_a_cur.clone() - + (k * pallas::Base::from(2) - one) * y_p_cur; - - // λ_{2,i}^2 − x_{A,i-1} − x_{R,i} − x_{A,i} = 0 - let secant_line = lambda2_cur.clone().square() - - x_a_next.clone() - - x_r(meta, Rotation::cur()) - - x_a_cur.clone(); - - // λ_{2,i}⋅(x_{A,i} − x_{A,i-1}) − y_{A,i} − y_{A,i-1} = 0 - let gradient_2 = lambda2_cur * (x_a_cur - x_a_next) - y_a_cur - y_a_next; - - std::iter::empty() - .chain(Some(("bool_check", q_mul.clone() * bool_check))) - .chain(Some(("gradient_1", q_mul.clone() * gradient_1))) - .chain(Some(("secant_line", q_mul.clone() * secant_line))) - .chain(Some(("gradient_2", q_mul * gradient_2))) - }; - - // q_mul_1 == 1 checks - meta.create_gate("q_mul_1 == 1 checks", |meta| { - let q_mul_1 = meta.query_selector(self.q_mul.0); - - let y_a_next = y_a(meta, Rotation::next()); - let y_a_witnessed = meta.query_advice(self.lambda1, Rotation::cur()); - vec![("init y_a", q_mul_1 * (y_a_witnessed - y_a_next))] - }); - - // q_mul_2 == 1 checks - meta.create_gate("q_mul_2 == 1 checks", |meta| { - let q_mul_2 = meta.query_selector(self.q_mul.1); - - let y_a_next = y_a(meta, Rotation::next()); - - // x_{P,i} - let x_p_cur = meta.query_advice(self.x_p, Rotation::cur()); - // x_{P,i-1} - let x_p_next = meta.query_advice(self.x_p, Rotation::next()); - // y_{P,i} - let y_p_cur = meta.query_advice(self.y_p, Rotation::cur()); - // y_{P,i-1} - let y_p_next = meta.query_advice(self.y_p, Rotation::next()); - - // The base used in double-and-add remains constant. We check that its - // x- and y- coordinates are the same throughout. - let x_p_check = x_p_cur - x_p_next; - let y_p_check = y_p_cur - y_p_next; - - std::iter::empty() - .chain(Some(("x_p_check", q_mul_2.clone() * x_p_check))) - .chain(Some(("y_p_check", q_mul_2.clone() * y_p_check))) - .chain(for_loop(meta, q_mul_2, y_a_next)) - }); - - // q_mul_3 == 1 checks - meta.create_gate("q_mul_3 == 1 checks", |meta| { - let q_mul_3 = meta.query_selector(self.q_mul.2); - let y_a_final = meta.query_advice(self.lambda1, Rotation::next()); - for_loop(meta, q_mul_3, y_a_final) - }); - } - - /// We perform incomplete addition on all but the last three bits of the - /// decomposed scalar. - /// We split the bits in the incomplete addition range into "hi" and "lo" - /// halves and process them side by side, using the same rows but with - /// non-overlapping columns. The base is never the identity point even at - /// the boundary between halves. - /// Returns (x, y, z). - #[allow(clippy::type_complexity)] - pub(super) fn double_and_add( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - base: &NonIdentityEccPoint, - bits: &[Option], - acc: (X, Y, Z), - ) -> Result<(X, Y, Vec>), Error> { - // Check that we have the correct number of bits for this double-and-add. - assert_eq!(bits.len(), NUM_BITS); - - // Handle exceptional cases - let (x_p, y_p) = (base.x.value().cloned(), base.y.value().cloned()); - let (x_a, y_a) = (acc.0.value().cloned(), acc.1.value().cloned()); - - if let (Some(x_a), Some(y_a), Some(x_p), Some(y_p)) = (x_a, y_a, x_p, y_p) { - // A is point at infinity - if (x_p.is_zero_vartime() && y_p.is_zero_vartime()) - // Q is point at infinity - || (x_a.is_zero_vartime() && y_a.is_zero_vartime()) - // x_p = x_a - || (x_p == x_a) - { - return Err(Error::Synthesis); - } - } - - // Set q_mul values - { - // q_mul_1 = 1 on offset 0 - self.q_mul.0.enable(region, offset)?; - - let offset = offset + 1; - // q_mul_2 = 1 on all rows after offset 0, excluding the last row. - for idx in 0..(NUM_BITS - 1) { - self.q_mul.1.enable(region, offset + idx)?; - } - - // q_mul_3 = 1 on the last row. - self.q_mul.2.enable(region, offset + NUM_BITS - 1)?; - } - - // Initialise double-and-add - let (mut x_a, mut y_a, mut z) = { - // Initialise the running `z` sum for the scalar bits. - let z = acc.2.copy_advice(|| "starting z", region, self.z, offset)?; - - // Initialise acc - let x_a = acc - .0 - .copy_advice(|| "starting x_a", region, self.x_a, offset + 1)?; - let y_a = acc - .1 - .copy_advice(|| "starting y_a", region, self.lambda1, offset)?; - - (x_a, y_a.value().cloned(), z) - }; - - // Increase offset by 1; we used row 0 for initializing `z`. - let offset = offset + 1; - - // Initialise vector to store all interstitial `z` running sum values. - let mut zs: Vec> = Vec::with_capacity(bits.len()); - - // Incomplete addition - for (row, k) in bits.iter().enumerate() { - // z_{i} = 2 * z_{i+1} + k_i - let z_val = z - .value() - .zip(k.as_ref()) - .map(|(z_val, k)| pallas::Base::from(2) * z_val + pallas::Base::from(*k as u64)); - z = region.assign_advice( - || "z", - self.z, - row + offset, - || z_val.ok_or(Error::Synthesis), - )?; - zs.push(Z(z.clone())); - - // Assign `x_p`, `y_p` - region.assign_advice( - || "x_p", - self.x_p, - row + offset, - || x_p.ok_or(Error::Synthesis), - )?; - region.assign_advice( - || "y_p", - self.y_p, - row + offset, - || y_p.ok_or(Error::Synthesis), - )?; - - // If the bit is set, use `y`; if the bit is not set, use `-y` - let y_p = y_p - .zip(k.as_ref()) - .map(|(y_p, k)| if !k { -y_p } else { y_p }); - - // Compute and assign λ1⋅(x_A − x_P) = y_A − y_P - let lambda1 = y_a - .zip(y_p) - .zip(x_a.value()) - .zip(x_p) - .map(|(((y_a, y_p), x_a), x_p)| (y_a - y_p) * (x_a - x_p).invert().unwrap()); - region.assign_advice( - || "lambda1", - self.lambda1, - row + offset, - || lambda1.ok_or(Error::Synthesis), - )?; - - // x_R = λ1^2 - x_A - x_P - let x_r = lambda1 - .zip(x_a.value()) - .zip(x_p) - .map(|((lambda1, x_a), x_p)| lambda1 * lambda1 - x_a - x_p); - - // λ2 = (2(y_A) / (x_A - x_R)) - λ1 - let lambda2 = - lambda1 - .zip(y_a) - .zip(x_a.value()) - .zip(x_r) - .map(|(((lambda1, y_a), x_a), x_r)| { - pallas::Base::from(2) * y_a * (x_a - x_r).invert().unwrap() - lambda1 - }); - region.assign_advice( - || "lambda2", - self.lambda2, - row + offset, - || lambda2.ok_or(Error::Synthesis), - )?; - - // Compute and assign `x_a` for the next row - let x_a_new = lambda2 - .zip(x_a.value()) - .zip(x_r) - .map(|((lambda2, x_a), x_r)| lambda2.square() - x_a - x_r); - y_a = lambda2 - .zip(x_a.value().cloned()) - .zip(x_a_new) - .zip(y_a) - .map(|(((lambda2, x_a), x_a_new), y_a)| lambda2 * (x_a - x_a_new) - y_a); - let x_a_val = x_a_new; - x_a = region.assign_advice( - || "x_a", - self.x_a, - row + offset + 1, - || x_a_val.ok_or(Error::Synthesis), - )?; - } - - // Witness final y_a - let y_a = region.assign_advice( - || "y_a", - self.lambda1, - offset + NUM_BITS, - || y_a.ok_or(Error::Synthesis), - )?; - - Ok((X(x_a), Y(y_a), zs)) - } -} diff --git a/src/circuit/gadget/ecc/chip/mul/overflow.rs b/src/circuit/gadget/ecc/chip/mul/overflow.rs deleted file mode 100644 index bca998d2..00000000 --- a/src/circuit/gadget/ecc/chip/mul/overflow.rs +++ /dev/null @@ -1,212 +0,0 @@ -use super::{T_Q, Z}; -use crate::{ - circuit::gadget::utilities::lookup_range_check::LookupRangeCheckConfig, primitives::sinsemilla, -}; -use halo2::circuit::AssignedCell; -use halo2::{ - circuit::Layouter, - plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector}, - poly::Rotation, -}; - -use ff::Field; -use pasta_curves::{arithmetic::FieldExt, pallas}; - -use std::iter; - -#[derive(Copy, Clone, Debug, Eq, PartialEq)] -pub struct Config { - // Selector to check z_0 = alpha + t_q (mod p) - q_mul_overflow: Selector, - // 10-bit lookup table - lookup_config: LookupRangeCheckConfig, - // Advice columns - advices: [Column; 3], -} - -impl Config { - pub(super) fn configure( - meta: &mut ConstraintSystem, - lookup_config: LookupRangeCheckConfig, - advices: [Column; 3], - ) -> Self { - for advice in advices.iter() { - meta.enable_equality(*advice); - } - - let config = Self { - q_mul_overflow: meta.selector(), - lookup_config, - advices, - }; - - config.create_gate(meta); - - config - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - meta.create_gate("overflow checks", |meta| { - let q_mul_overflow = meta.query_selector(self.q_mul_overflow); - - // Constant expressions - let one = Expression::Constant(pallas::Base::one()); - let two_pow_124 = Expression::Constant(pallas::Base::from_u128(1 << 124)); - let two_pow_130 = - two_pow_124.clone() * Expression::Constant(pallas::Base::from_u128(1 << 6)); - - let z_0 = meta.query_advice(self.advices[0], Rotation::prev()); - let z_130 = meta.query_advice(self.advices[0], Rotation::cur()); - let eta = meta.query_advice(self.advices[0], Rotation::next()); - - let k_254 = meta.query_advice(self.advices[1], Rotation::prev()); - let alpha = meta.query_advice(self.advices[1], Rotation::cur()); - - // s_minus_lo_130 = s - sum_{i = 0}^{129} 2^i ⋅ s_i - let s_minus_lo_130 = meta.query_advice(self.advices[1], Rotation::next()); - - let s = meta.query_advice(self.advices[2], Rotation::cur()); - let s_check = s - (alpha.clone() + k_254.clone() * two_pow_130); - - // q = 2^254 + t_q is the Pallas scalar field modulus. - // We cast t_q into the base field to check alpha + t_q (mod p). - let t_q = Expression::Constant(pallas::Base::from_u128(T_Q)); - - // z_0 - alpha - t_q = 0 (mod p) - let recovery = z_0 - alpha - t_q; - - // k_254 * (z_130 - 2^124) = 0 - let lo_zero = k_254.clone() * (z_130.clone() - two_pow_124); - - // k_254 * s_minus_lo_130 = 0 - let s_minus_lo_130_check = k_254.clone() * s_minus_lo_130.clone(); - - // (1 - k_254) * (1 - z_130 * eta) * s_minus_lo_130 = 0 - let canonicity = (one.clone() - k_254) * (one - z_130 * eta) * s_minus_lo_130; - - iter::empty() - .chain(Some(("s_check", s_check))) - .chain(Some(("recovery", recovery))) - .chain(Some(("lo_zero", lo_zero))) - .chain(Some(("s_minus_lo_130_check", s_minus_lo_130_check))) - .chain(Some(("canonicity", canonicity))) - .map(|(name, poly)| (name, q_mul_overflow.clone() * poly)) - .collect::>() - }); - } - - pub(super) fn overflow_check( - &self, - mut layouter: impl Layouter, - alpha: AssignedCell, - zs: &[Z], // [z_0, z_1, ..., z_{254}, z_{255}] - ) -> Result<(), Error> { - // s = alpha + k_254 ⋅ 2^130 is witnessed here, and then copied into - // the decomposition as well as the overflow check gate. - // In the overflow check gate, we check that s is properly derived - // from alpha and k_254. - let s = { - let k_254 = zs[254].clone(); - let s_val = alpha - .value() - .zip(k_254.value()) - .map(|(alpha, k_254)| alpha + k_254 * pallas::Base::from_u128(1 << 65).square()); - - layouter.assign_region( - || "s = alpha + k_254 ⋅ 2^130", - |mut region| { - region.assign_advice( - || "s = alpha + k_254 ⋅ 2^130", - self.advices[0], - 0, - || s_val.ok_or(Error::Synthesis), - ) - }, - )? - }; - - // Subtract the first 130 low bits of s = alpha + k_254 ⋅ 2^130 - // using thirteen 10-bit lookups, s_{0..=129} - let s_minus_lo_130 = - self.s_minus_lo_130(layouter.namespace(|| "decompose s_{0..=129}"), s.clone())?; - - layouter.assign_region( - || "overflow check", - |mut region| { - let offset = 0; - - // Enable overflow check gate - self.q_mul_overflow.enable(&mut region, offset + 1)?; - - // Copy `z_0` - zs[0].copy_advice(|| "copy z_0", &mut region, self.advices[0], offset)?; - - // Copy `z_130` - zs[130].copy_advice(|| "copy z_130", &mut region, self.advices[0], offset + 1)?; - - // Witness η = inv0(z_130), where inv0(x) = 0 if x = 0, 1/x otherwise - { - let eta = zs[130].value().map(|z_130| { - if z_130.is_zero_vartime() { - pallas::Base::zero() - } else { - z_130.invert().unwrap() - } - }); - region.assign_advice( - || "η = inv0(z_130)", - self.advices[0], - offset + 2, - || eta.ok_or(Error::Synthesis), - )?; - } - - // Copy `k_254` = z_254 - zs[254].copy_advice(|| "copy k_254", &mut region, self.advices[1], offset)?; - - // Copy original alpha - alpha.copy_advice( - || "copy original alpha", - &mut region, - self.advices[1], - offset + 1, - )?; - - // Copy weighted sum of the decomposition of s = alpha + k_254 ⋅ 2^130. - s_minus_lo_130.copy_advice( - || "copy s_minus_lo_130", - &mut region, - self.advices[1], - offset + 2, - )?; - - // Copy witnessed s to check that it was properly derived from alpha and k_254. - s.copy_advice(|| "copy s", &mut region, self.advices[2], offset + 1)?; - - Ok(()) - }, - )?; - - Ok(()) - } - - fn s_minus_lo_130( - &self, - mut layouter: impl Layouter, - s: AssignedCell, - ) -> Result, Error> { - // Number of k-bit words we can use in the lookup decomposition. - let num_words = 130 / sinsemilla::K; - assert!(num_words * sinsemilla::K == 130); - - // Decompose the low 130 bits of `s` using thirteen 10-bit lookups. - let zs = self.lookup_config.copy_check( - layouter.namespace(|| "Decompose low 130 bits of s"), - s, - num_words, - false, - )?; - // (s - (2^0 s_0 + 2^1 s_1 + ... + 2^129 s_129)) / 2^130 - Ok(zs[zs.len() - 1].clone()) - } -} diff --git a/src/circuit/gadget/ecc/chip/mul_fixed.rs b/src/circuit/gadget/ecc/chip/mul_fixed.rs deleted file mode 100644 index 4d6b1ffc..00000000 --- a/src/circuit/gadget/ecc/chip/mul_fixed.rs +++ /dev/null @@ -1,505 +0,0 @@ -use super::{ - add, add_incomplete, EccBaseFieldElemFixed, EccScalarFixed, EccScalarFixedShort, FixedPoint, - NonIdentityEccPoint, FIXED_BASE_WINDOW_SIZE, H, -}; -use crate::circuit::gadget::utilities::decompose_running_sum::RunningSumConfig; - -use std::marker::PhantomData; - -use group::{ff::PrimeField, Curve}; -use halo2::{ - circuit::{AssignedCell, Region}, - plonk::{Advice, Column, ConstraintSystem, Error, Expression, Fixed, Selector, VirtualCells}, - poly::Rotation, -}; -use lazy_static::lazy_static; -use pasta_curves::{ - arithmetic::{CurveAffine, FieldExt}, - pallas, -}; - -pub mod base_field_elem; -pub mod full_width; -pub mod short; - -lazy_static! { - static ref TWO_SCALAR: pallas::Scalar = pallas::Scalar::from(2); - // H = 2^3 (3-bit window) - static ref H_SCALAR: pallas::Scalar = pallas::Scalar::from(H as u64); - static ref H_BASE: pallas::Base = pallas::Base::from(H as u64); -} - -#[derive(Clone, Debug, Eq, PartialEq)] -pub struct Config> { - running_sum_config: RunningSumConfig, - // The fixed Lagrange interpolation coefficients for `x_p`. - lagrange_coeffs: [Column; H], - // The fixed `z` for each window such that `y + z = u^2`. - fixed_z: Column, - // Decomposition of an `n-1`-bit scalar into `k`-bit windows: - // a = a_0 + 2^k(a_1) + 2^{2k}(a_2) + ... + 2^{(n-1)k}(a_{n-1}) - window: Column, - // x-coordinate of the multiple of the fixed base at the current window. - x_p: Column, - // y-coordinate of the multiple of the fixed base at the current window. - y_p: Column, - // y-coordinate of accumulator (only used in the final row). - u: Column, - // Configuration for `add` - add_config: add::Config, - // Configuration for `add_incomplete` - add_incomplete_config: add_incomplete::Config, - _marker: PhantomData, -} - -impl> Config { - #[allow(clippy::too_many_arguments)] - pub(super) fn configure( - meta: &mut ConstraintSystem, - lagrange_coeffs: [Column; H], - window: Column, - x_p: Column, - y_p: Column, - u: Column, - add_config: add::Config, - add_incomplete_config: add_incomplete::Config, - ) -> Self { - meta.enable_equality(window); - meta.enable_equality(u); - - let q_running_sum = meta.selector(); - let running_sum_config = RunningSumConfig::configure(meta, q_running_sum, window); - - let config = Self { - running_sum_config, - lagrange_coeffs, - fixed_z: meta.fixed_column(), - window, - x_p, - y_p, - u, - add_config, - add_incomplete_config, - _marker: PhantomData, - }; - - // Check relationships between this config and `add_config`. - assert_eq!( - config.x_p, config.add_config.x_p, - "add is used internally in mul_fixed." - ); - assert_eq!( - config.y_p, config.add_config.y_p, - "add is used internally in mul_fixed." - ); - - // Check relationships between this config and `add_incomplete_config`. - assert_eq!( - config.x_p, config.add_incomplete_config.x_p, - "add_incomplete is used internally in mul_fixed." - ); - assert_eq!( - config.y_p, config.add_incomplete_config.y_p, - "add_incomplete is used internally in mul_fixed." - ); - for advice in [config.x_p, config.y_p, config.window, config.u].iter() { - assert_ne!( - *advice, config.add_config.x_qr, - "Do not overlap with output columns of add." - ); - assert_ne!( - *advice, config.add_config.y_qr, - "Do not overlap with output columns of add." - ); - } - - config.running_sum_coords_gate(meta); - - config - } - - /// Check that each window in the running sum decomposition uses the correct y_p - /// and interpolated x_p. - /// - /// This gate is used both in the mul_fixed::base_field_elem and mul_fixed::short - /// helpers, which decompose the scalar using a running sum. - /// - /// This gate is not used in the mul_fixed::full_width helper, since the full-width - /// scalar is witnessed directly as three-bit windows instead of being decomposed - /// via a running sum. - fn running_sum_coords_gate(&self, meta: &mut ConstraintSystem) { - meta.create_gate("Running sum coordinates check", |meta| { - let q_mul_fixed_running_sum = - meta.query_selector(self.running_sum_config.q_range_check); - - let z_cur = meta.query_advice(self.window, Rotation::cur()); - let z_next = meta.query_advice(self.window, Rotation::next()); - - // z_{i+1} = (z_i - a_i) / 2^3 - // => a_i = z_i - z_{i+1} * 2^3 - let word = z_cur - z_next * pallas::Base::from(H as u64); - - self.coords_check(meta, q_mul_fixed_running_sum, word) - }); - } - - #[allow(clippy::op_ref)] - fn coords_check( - &self, - meta: &mut VirtualCells<'_, pallas::Base>, - toggle: Expression, - window: Expression, - ) -> Vec<(&'static str, Expression)> { - let y_p = meta.query_advice(self.y_p, Rotation::cur()); - let x_p = meta.query_advice(self.x_p, Rotation::cur()); - let z = meta.query_fixed(self.fixed_z, Rotation::cur()); - let u = meta.query_advice(self.u, Rotation::cur()); - - let window_pow: Vec> = (0..H) - .map(|pow| { - (0..pow).fold(Expression::Constant(pallas::Base::one()), |acc, _| { - acc * window.clone() - }) - }) - .collect(); - - let interpolated_x = window_pow.iter().zip(self.lagrange_coeffs.iter()).fold( - Expression::Constant(pallas::Base::zero()), - |acc, (window_pow, coeff)| { - acc + (window_pow.clone() * meta.query_fixed(*coeff, Rotation::cur())) - }, - ); - - // Check interpolation of x-coordinate - let x_check = interpolated_x - x_p.clone(); - // Check that `y + z = u^2`, where `z` is fixed and `u`, `y` are witnessed - let y_check = u.square() - y_p.clone() - z; - // Check that (x, y) is on the curve - let on_curve = - y_p.square() - x_p.clone().square() * x_p - Expression::Constant(pallas::Affine::b()); - - vec![ - ("check x", toggle.clone() * x_check), - ("check y", toggle.clone() * y_check), - ("on-curve", toggle * on_curve), - ] - } - - #[allow(clippy::type_complexity)] - fn assign_region_inner, const NUM_WINDOWS: usize>( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - scalar: &ScalarFixed, - base: &F, - coords_check_toggle: Selector, - ) -> Result<(NonIdentityEccPoint, NonIdentityEccPoint), Error> { - // Assign fixed columns for given fixed base - self.assign_fixed_constants::(region, offset, base, coords_check_toggle)?; - - // Initialize accumulator - let acc = self.initialize_accumulator::(region, offset, base, scalar)?; - - // Process all windows excluding least and most significant windows - let acc = self.add_incomplete::(region, offset, acc, base, scalar)?; - - // Process most significant window using complete addition - let mul_b = self.process_msb::(region, offset, base, scalar)?; - - Ok((acc, mul_b)) - } - - fn assign_fixed_constants, const NUM_WINDOWS: usize>( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - base: &F, - coords_check_toggle: Selector, - ) -> Result<(), Error> { - let mut constants = None; - let build_constants = || { - let lagrange_coeffs = base.lagrange_coeffs(); - assert_eq!(lagrange_coeffs.len(), NUM_WINDOWS); - - let z = base.z(); - assert_eq!(z.len(), NUM_WINDOWS); - - (lagrange_coeffs, z) - }; - - // Assign fixed columns for given fixed base - for window in 0..NUM_WINDOWS { - coords_check_toggle.enable(region, window + offset)?; - - // Assign x-coordinate Lagrange interpolation coefficients - for k in 0..H { - region.assign_fixed( - || { - format!( - "Lagrange interpolation coeff for window: {:?}, k: {:?}", - window, k - ) - }, - self.lagrange_coeffs[k], - window + offset, - || { - if constants.as_ref().is_none() { - constants = Some(build_constants()); - } - let lagrange_coeffs = &constants.as_ref().unwrap().0; - Ok(lagrange_coeffs[window][k]) - }, - )?; - } - - // Assign z-values for each window - region.assign_fixed( - || format!("z-value for window: {:?}", window), - self.fixed_z, - window + offset, - || { - let z = &constants.as_ref().unwrap().1; - Ok(pallas::Base::from(z[window])) - }, - )?; - } - - Ok(()) - } - - fn process_window, const NUM_WINDOWS: usize>( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - w: usize, - k: Option, - k_usize: Option, - base: &F, - ) -> Result { - let base_value = base.generator(); - let base_u = base.u(); - assert_eq!(base_u.len(), NUM_WINDOWS); - - // Compute [(k_w + 2) ⋅ 8^w]B - let mul_b = { - let mul_b = - k.map(|k| base_value * (k + *TWO_SCALAR) * H_SCALAR.pow(&[w as u64, 0, 0, 0])); - let mul_b = mul_b.map(|mul_b| mul_b.to_affine().coordinates().unwrap()); - - let x = mul_b.map(|mul_b| { - let x = *mul_b.x(); - assert!(x != pallas::Base::zero()); - x - }); - let x = region.assign_advice( - || format!("mul_b_x, window {}", w), - self.x_p, - offset + w, - || x.ok_or(Error::Synthesis), - )?; - - let y = mul_b.map(|mul_b| { - let y = *mul_b.y(); - assert!(y != pallas::Base::zero()); - y - }); - let y = region.assign_advice( - || format!("mul_b_y, window {}", w), - self.y_p, - offset + w, - || y.ok_or(Error::Synthesis), - )?; - - NonIdentityEccPoint { x, y } - }; - - // Assign u = (y_p + z_w).sqrt() - let u_val = k_usize.map(|k| pallas::Base::from_bytes(&base_u[w][k]).unwrap()); - region.assign_advice(|| "u", self.u, offset + w, || u_val.ok_or(Error::Synthesis))?; - - Ok(mul_b) - } - - fn initialize_accumulator, const NUM_WINDOWS: usize>( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - base: &F, - scalar: &ScalarFixed, - ) -> Result { - // Recall that the message at each window `w` is represented as - // `m_w = [(k_w + 2) ⋅ 8^w]B`. - // When `w = 0`, we have `m_0 = [(k_0 + 2)]B`. - let w = 0; - let k0 = scalar.windows_field()[0]; - let k0_usize = scalar.windows_usize()[0]; - self.process_window::<_, NUM_WINDOWS>(region, offset, w, k0, k0_usize, base) - } - - fn add_incomplete, const NUM_WINDOWS: usize>( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - mut acc: NonIdentityEccPoint, - base: &F, - scalar: &ScalarFixed, - ) -> Result { - let scalar_windows_field = scalar.windows_field(); - let scalar_windows_usize = scalar.windows_usize(); - - for (w, (k, k_usize)) in scalar_windows_field[..(scalar_windows_field.len() - 1)] - .iter() - .zip(scalar_windows_usize[..(scalar_windows_field.len() - 1)].iter()) - .enumerate() - // Skip k_0 (already processed). - .skip(1) - { - // Compute [(k_w + 2) ⋅ 8^w]B - let mul_b = - self.process_window::<_, NUM_WINDOWS>(region, offset, w, *k, *k_usize, base)?; - - // Add to the accumulator - acc = self - .add_incomplete_config - .assign_region(&mul_b, &acc, offset + w, region)?; - } - Ok(acc) - } - - fn process_msb, const NUM_WINDOWS: usize>( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - base: &F, - scalar: &ScalarFixed, - ) -> Result { - // Assign u = (y_p + z_w).sqrt() for the most significant window - { - let u_val = scalar.windows_usize()[NUM_WINDOWS - 1] - .map(|k| pallas::Base::from_bytes(&base.u()[NUM_WINDOWS - 1][k]).unwrap()); - region.assign_advice( - || "u", - self.u, - offset + NUM_WINDOWS - 1, - || u_val.ok_or(Error::Synthesis), - )?; - } - - // offset_acc = \sum_{j = 0}^{NUM_WINDOWS - 2} 2^{FIXED_BASE_WINDOW_SIZE*j + 1} - let offset_acc = (0..(NUM_WINDOWS - 1)).fold(pallas::Scalar::zero(), |acc, w| { - acc + (*TWO_SCALAR).pow(&[FIXED_BASE_WINDOW_SIZE as u64 * w as u64 + 1, 0, 0, 0]) - }); - - // `scalar = [k * 8^84 - offset_acc]`, where `offset_acc = \sum_{j = 0}^{83} 2^{FIXED_BASE_WINDOW_SIZE*j + 1}`. - let scalar = scalar.windows_field()[scalar.windows_field().len() - 1] - .map(|k| k * (*H_SCALAR).pow(&[(NUM_WINDOWS - 1) as u64, 0, 0, 0]) - offset_acc); - - let mul_b = { - let mul_b = scalar.map(|scalar| base.generator() * scalar); - let mul_b = mul_b.map(|mul_b| mul_b.to_affine().coordinates().unwrap()); - - let x = mul_b.map(|mul_b| { - let x = *mul_b.x(); - assert!(x != pallas::Base::zero()); - x - }); - let x = region.assign_advice( - || format!("mul_b_x, window {}", NUM_WINDOWS - 1), - self.x_p, - offset + NUM_WINDOWS - 1, - || x.ok_or(Error::Synthesis), - )?; - - let y = mul_b.map(|mul_b| { - let y = *mul_b.y(); - assert!(y != pallas::Base::zero()); - y - }); - let y = region.assign_advice( - || format!("mul_b_y, window {}", NUM_WINDOWS - 1), - self.y_p, - offset + NUM_WINDOWS - 1, - || y.ok_or(Error::Synthesis), - )?; - - NonIdentityEccPoint { x, y } - }; - - Ok(mul_b) - } -} - -enum ScalarFixed { - FullWidth(EccScalarFixed), - Short(EccScalarFixedShort), - BaseFieldElem(EccBaseFieldElemFixed), -} - -impl From<&EccScalarFixed> for ScalarFixed { - fn from(scalar_fixed: &EccScalarFixed) -> Self { - Self::FullWidth(scalar_fixed.clone()) - } -} - -impl From<&EccScalarFixedShort> for ScalarFixed { - fn from(scalar_fixed: &EccScalarFixedShort) -> Self { - Self::Short(scalar_fixed.clone()) - } -} - -impl From<&EccBaseFieldElemFixed> for ScalarFixed { - fn from(base_field_elem: &EccBaseFieldElemFixed) -> Self { - Self::BaseFieldElem(base_field_elem.clone()) - } -} - -impl ScalarFixed { - // The scalar decomposition was done in the base field. For computation - // outside the circuit, we now convert them back into the scalar field. - fn windows_field(&self) -> Vec> { - let running_sum_to_windows = |zs: Vec>| { - (0..(zs.len() - 1)) - .map(|idx| { - let z_cur = zs[idx].value(); - let z_next = zs[idx + 1].value(); - let word = z_cur - .zip(z_next) - .map(|(z_cur, z_next)| z_cur - z_next * *H_BASE); - word.map(|word| pallas::Scalar::from_repr(word.to_repr()).unwrap()) - }) - .collect::>() - }; - match self { - Self::BaseFieldElem(scalar) => running_sum_to_windows(scalar.running_sum.to_vec()), - Self::Short(scalar) => running_sum_to_windows(scalar.running_sum.to_vec()), - Self::FullWidth(scalar) => scalar - .windows - .iter() - .map(|bits| { - bits.value() - .map(|value| pallas::Scalar::from_repr(value.to_repr()).unwrap()) - }) - .collect::>(), - } - } - - // The scalar decomposition is guaranteed to be in three-bit windows, - // so we also cast the least significant 4 bytes in their serialisation - // into usize for convenient indexing into `u`-values - fn windows_usize(&self) -> Vec> { - self.windows_field() - .iter() - .map(|window| { - if let Some(window) = window { - // TODO: Remove this trait dependency - use pasta_curves::arithmetic::SqrtRatio; - let window = window.get_lower_32() as usize; - assert!(window < H); - Some(window) - } else { - None - } - }) - .collect::>() - } -} diff --git a/src/circuit/gadget/ecc/chip/mul_fixed/base_field_elem.rs b/src/circuit/gadget/ecc/chip/mul_fixed/base_field_elem.rs deleted file mode 100644 index 15589bb9..00000000 --- a/src/circuit/gadget/ecc/chip/mul_fixed/base_field_elem.rs +++ /dev/null @@ -1,520 +0,0 @@ -use super::super::{EccBaseFieldElemFixed, EccPoint, FixedPoints, NUM_WINDOWS, T_P}; -use super::H_BASE; - -use crate::{ - circuit::gadget::utilities::{ - bitrange_subset, lookup_range_check::LookupRangeCheckConfig, range_check, - }, - primitives::sinsemilla, -}; - -use group::ff::PrimeField; -use halo2::{ - circuit::{AssignedCell, Layouter}, - plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector}, - poly::Rotation, -}; -use pasta_curves::{arithmetic::FieldExt, pallas}; - -use std::convert::TryInto; - -#[derive(Clone, Debug, Eq, PartialEq)] -pub struct Config> { - q_mul_fixed_base_field: Selector, - canon_advices: [Column; 3], - lookup_config: LookupRangeCheckConfig, - super_config: super::Config, -} - -impl> Config { - pub(crate) fn configure( - meta: &mut ConstraintSystem, - canon_advices: [Column; 3], - lookup_config: LookupRangeCheckConfig, - super_config: super::Config, - ) -> Self { - for advice in canon_advices.iter() { - meta.enable_equality(*advice); - } - - let config = Self { - q_mul_fixed_base_field: meta.selector(), - canon_advices, - lookup_config, - super_config, - }; - - let add_incomplete_advices = config.super_config.add_incomplete_config.advice_columns(); - for canon_advice in config.canon_advices.iter() { - assert!( - !add_incomplete_advices.contains(canon_advice), - "Deconflict canon_advice columns with incomplete addition columns." - ); - } - - config.create_gate(meta); - - config - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - // Check that the base field element is canonical. - meta.create_gate("Canonicity checks", |meta| { - let q_mul_fixed_base_field = meta.query_selector(self.q_mul_fixed_base_field); - - let alpha = meta.query_advice(self.canon_advices[0], Rotation::prev()); - // The last three bits of α. - let z_84_alpha = meta.query_advice(self.canon_advices[2], Rotation::prev()); - - // Decompose α into three pieces, in little-endian order: - // α = α_0 (252 bits) || α_1 (2 bits) || α_2 (1 bit). - // - // α_0 is derived, not witnessed. - let alpha_0 = { - let two_pow_252 = pallas::Base::from_u128(1 << 126).square(); - alpha - (z_84_alpha.clone() * two_pow_252) - }; - let alpha_1 = meta.query_advice(self.canon_advices[1], Rotation::cur()); - let alpha_2 = meta.query_advice(self.canon_advices[2], Rotation::cur()); - - let alpha_0_prime = meta.query_advice(self.canon_advices[0], Rotation::cur()); - let z_13_alpha_0_prime = meta.query_advice(self.canon_advices[0], Rotation::next()); - let z_44_alpha = meta.query_advice(self.canon_advices[1], Rotation::next()); - let z_43_alpha = meta.query_advice(self.canon_advices[2], Rotation::next()); - - let decomposition_checks = { - // Range-constrain α_1 to be 2 bits - let alpha_1_range_check = range_check(alpha_1.clone(), 1 << 2); - // Boolean-constrain α_2 - let alpha_2_range_check = range_check(alpha_2.clone(), 1 << 1); - // Check that α_1 + 2^2 α_2 = z_84_alpha - let z_84_alpha_check = z_84_alpha.clone() - - (alpha_1.clone() + alpha_2.clone() * pallas::Base::from(1 << 2)); - - std::iter::empty() - .chain(Some(("alpha_1_range_check", alpha_1_range_check))) - .chain(Some(("alpha_2_range_check", alpha_2_range_check))) - .chain(Some(("z_84_alpha_check", z_84_alpha_check))) - }; - - // Check α_0_prime = α_0 + 2^130 - t_p - let alpha_0_prime_check = { - let two_pow_130 = Expression::Constant(pallas::Base::from_u128(1 << 65).square()); - let t_p = Expression::Constant(pallas::Base::from_u128(T_P)); - alpha_0_prime - (alpha_0 + two_pow_130 - t_p) - }; - - // We want to enforce canonicity of a 255-bit base field element, α. - // That is, we want to check that 0 ≤ α < p, where p is Pallas base - // field modulus p = 2^254 + t_p - // = 2^254 + 45560315531419706090280762371685220353. - // Note that t_p < 2^130. - // - // α has been decomposed into three pieces in little-endian order: - // α = α_0 (252 bits) || α_1 (2 bits) || α_2 (1 bit). - // = α_0 + 2^252 α_1 + 2^254 α_2. - // - // If the MSB α_2 = 1, then: - // - α_2 = 1 => α_1 = 0, and - // - α_2 = 1 => α_0 < t_p. To enforce this: - // - α_2 = 1 => 0 ≤ α_0 < 2^130 - // - alpha_0_hi_120 = 0 (constrain α_0 to be 132 bits) - // - a_43 = 0 or 1 (constrain α_0[130..=131] to be 0) - // - α_2 = 1 => 0 ≤ α_0 + 2^130 - t_p < 2^130 - // => 13 ten-bit lookups of α_0 + 2^130 - t_p - // => z_13_alpha_0_prime = 0 - // - let canon_checks = { - // alpha_0_hi_120 = z_44 - 2^120 z_84 - let alpha_0_hi_120 = { - let two_pow_120 = - Expression::Constant(pallas::Base::from_u128(1 << 60).square()); - z_44_alpha.clone() - z_84_alpha * two_pow_120 - }; - // a_43 = z_43 - (2^3)z_44 - let a_43 = z_43_alpha - z_44_alpha * *H_BASE; - - std::iter::empty() - .chain(Some(("MSB = 1 => alpha_1 = 0", alpha_2.clone() * alpha_1))) - .chain(Some(( - "MSB = 1 => alpha_0_hi_120 = 0", - alpha_2.clone() * alpha_0_hi_120, - ))) - .chain(Some(( - "MSB = 1 => a_43 = 0 or 1", - alpha_2.clone() * range_check(a_43, 2), - ))) - .chain(Some(( - "MSB = 1 => z_13_alpha_0_prime = 0", - alpha_2 * z_13_alpha_0_prime, - ))) - }; - - canon_checks - .chain(decomposition_checks) - .chain(Some(("alpha_0_prime check", alpha_0_prime_check))) - .map(move |(name, poly)| (name, q_mul_fixed_base_field.clone() * poly)) - }); - } - - pub fn assign( - &self, - mut layouter: impl Layouter, - scalar: AssignedCell, - base: &>::Base, - ) -> Result - where - >::Base: super::super::FixedPoint, - { - let (scalar, acc, mul_b) = layouter.assign_region( - || "Base-field elem fixed-base mul (incomplete addition)", - |mut region| { - let offset = 0; - - // Decompose scalar - let scalar = { - let running_sum = self.super_config.running_sum_config.copy_decompose( - &mut region, - offset, - scalar.clone(), - true, - pallas::Base::NUM_BITS as usize, - NUM_WINDOWS, - )?; - EccBaseFieldElemFixed { - base_field_elem: running_sum[0].clone(), - running_sum: (*running_sum).as_slice().try_into().unwrap(), - } - }; - - let (acc, mul_b) = self.super_config.assign_region_inner::<_, NUM_WINDOWS>( - &mut region, - offset, - &(&scalar).into(), - base, - self.super_config.running_sum_config.q_range_check, - )?; - - Ok((scalar, acc, mul_b)) - }, - )?; - - // Add to the accumulator and return the final result as `[scalar]B`. - let result = layouter.assign_region( - || "Base-field elem fixed-base mul (complete addition)", - |mut region| { - self.super_config.add_config.assign_region( - &mul_b.clone().into(), - &acc.clone().into(), - 0, - &mut region, - ) - }, - )?; - - #[cfg(test)] - // Check that the correct multiple is obtained. - { - use super::super::FixedPoint; - use group::Curve; - - let scalar = &scalar - .base_field_elem() - .value() - .map(|scalar| pallas::Scalar::from_repr(scalar.to_repr()).unwrap()); - let real_mul = scalar.map(|scalar| base.generator() * scalar); - let result = result.point(); - - if let (Some(real_mul), Some(result)) = (real_mul, result) { - assert_eq!(real_mul.to_affine(), result); - } - } - - // We want to enforce canonicity of a 255-bit base field element, α. - // That is, we want to check that 0 ≤ α < p, where p is Pallas base - // field modulus p = 2^254 + t_p - // = 2^254 + 45560315531419706090280762371685220353. - // Note that t_p < 2^130. - // - // α has been decomposed into three pieces in little-endian order: - // α = α_0 (252 bits) || α_1 (2 bits) || α_2 (1 bit). - // = α_0 + 2^252 α_1 + 2^254 α_2. - // - // If the MSB α_2 = 1, then: - // - α_2 = 1 => α_1 = 0, and - // - α_2 = 1 => α_0 < t_p. To enforce this: - // - α_2 = 1 => 0 ≤ α_0 < 2^130 - // => 13 ten-bit lookups of α_0 - // - α_2 = 1 => 0 ≤ α_0 + 2^130 - t_p < 2^130 - // => 13 ten-bit lookups of α_0 + 2^130 - t_p - // => z_13_alpha_0_prime = 0 - // - let (alpha, running_sum) = (scalar.base_field_elem, &scalar.running_sum); - let z_43_alpha = running_sum[43].clone(); - let z_44_alpha = running_sum[44].clone(); - let z_84_alpha = running_sum[84].clone(); - - // α_0 = α - z_84_alpha * 2^252 - let alpha_0 = alpha - .value() - .zip(z_84_alpha.value()) - .map(|(alpha, z_84_alpha)| { - let two_pow_252 = pallas::Base::from_u128(1 << 126).square(); - alpha - z_84_alpha * two_pow_252 - }); - - let (alpha_0_prime, z_13_alpha_0_prime) = { - // alpha_0_prime = alpha + 2^130 - t_p. - let alpha_0_prime = alpha_0.map(|alpha_0| { - let two_pow_130 = pallas::Base::from_u128(1 << 65).square(); - let t_p = pallas::Base::from_u128(T_P); - alpha_0 + two_pow_130 - t_p - }); - let zs = self.lookup_config.witness_check( - layouter.namespace(|| "Lookup range check alpha_0 + 2^130 - t_p"), - alpha_0_prime, - 13, - false, - )?; - let alpha_0_prime = zs[0].clone(); - - (alpha_0_prime, zs[13].clone()) - }; - - layouter.assign_region( - || "Canonicity checks", - |mut region| { - // Activate canonicity check gate - self.q_mul_fixed_base_field.enable(&mut region, 1)?; - - // Offset 0 - { - let offset = 0; - - // Copy α - alpha.copy_advice(|| "Copy α", &mut region, self.canon_advices[0], offset)?; - - // z_84_alpha = the top three bits of alpha. - z_84_alpha.copy_advice( - || "Copy z_84_alpha", - &mut region, - self.canon_advices[2], - offset, - )?; - } - - // Offset 1 - { - let offset = 1; - // Copy alpha_0_prime = alpha_0 + 2^130 - t_p. - // We constrain this in the custom gate to be derived correctly. - alpha_0_prime.copy_advice( - || "Copy α_0 + 2^130 - t_p", - &mut region, - self.canon_advices[0], - offset, - )?; - - // Decompose α into three pieces, - // α = α_0 (252 bits) || α_1 (2 bits) || α_2 (1 bit). - // We only need to witness α_1 and α_2. α_0 is derived in the gate. - // Witness α_1 = α[252..=253] - let alpha_1 = alpha.value().map(|alpha| bitrange_subset(alpha, 252..254)); - region.assign_advice( - || "α_1 = α[252..=253]", - self.canon_advices[1], - offset, - || alpha_1.ok_or(Error::Synthesis), - )?; - - // Witness the MSB α_2 = α[254] - let alpha_2 = alpha.value().map(|alpha| bitrange_subset(alpha, 254..255)); - region.assign_advice( - || "α_2 = α[254]", - self.canon_advices[2], - offset, - || alpha_2.ok_or(Error::Synthesis), - )?; - } - - // Offset 2 - { - let offset = 2; - // Copy z_13_alpha_0_prime - z_13_alpha_0_prime.copy_advice( - || "Copy z_13_alpha_0_prime", - &mut region, - self.canon_advices[0], - offset, - )?; - - // Copy z_44_alpha - z_44_alpha.copy_advice( - || "Copy z_44_alpha", - &mut region, - self.canon_advices[1], - offset, - )?; - - // Copy z_43_alpha - z_43_alpha.copy_advice( - || "Copy z_43_alpha", - &mut region, - self.canon_advices[2], - offset, - )?; - } - - Ok(()) - }, - )?; - - Ok(result) - } -} - -#[cfg(test)] -pub mod tests { - use group::{ - ff::{Field, PrimeField}, - Curve, - }; - use halo2::{ - circuit::{Chip, Layouter}, - plonk::Error, - }; - use pasta_curves::pallas; - use rand::rngs::OsRng; - - use crate::circuit::gadget::{ - ecc::{ - chip::{EccChip, FixedPoint, H}, - FixedPointBaseField, NonIdentityPoint, Point, - }, - utilities::UtilitiesInstructions, - }; - use crate::constants::{NullifierK, OrchardFixedBases}; - - pub fn test_mul_fixed_base_field( - chip: EccChip, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - // nullifier_k - test_single_base( - chip.clone(), - layouter.namespace(|| "nullifier_k"), - FixedPointBaseField::from_inner(chip, NullifierK), - NullifierK.generator(), - ) - } - - #[allow(clippy::op_ref)] - fn test_single_base( - chip: EccChip, - mut layouter: impl Layouter, - base: FixedPointBaseField>, - base_val: pallas::Affine, - ) -> Result<(), Error> { - let rng = OsRng; - - let column = chip.config().advices[0]; - - fn constrain_equal_non_id( - chip: EccChip, - mut layouter: impl Layouter, - base_val: pallas::Affine, - scalar_val: pallas::Base, - result: Point>, - ) -> Result<(), Error> { - // Move scalar from base field into scalar field (which always fits for Pallas). - let scalar = pallas::Scalar::from_repr(scalar_val.to_repr()).unwrap(); - let expected = NonIdentityPoint::new( - chip, - layouter.namespace(|| "expected point"), - Some((base_val * scalar).to_affine()), - )?; - result.constrain_equal(layouter.namespace(|| "constrain result"), &expected) - } - - // [a]B - { - let scalar_fixed = pallas::Base::random(rng); - let result = { - let scalar_fixed = chip.load_private( - layouter.namespace(|| "random base field element"), - column, - Some(scalar_fixed), - )?; - base.mul(layouter.namespace(|| "random [a]B"), scalar_fixed)? - }; - constrain_equal_non_id( - chip.clone(), - layouter.namespace(|| "random [a]B"), - base_val, - scalar_fixed, - result, - )?; - } - - // There is a single canonical sequence of window values for which a doubling occurs on the last step: - // 1333333333333333333333333333333333333333333333333333333333333333333333333333333333334 in octal. - // (There is another *non-canonical* sequence - // 5333333333333333333333333333333333333333332711161673731021062440252244051273333333333 in octal.) - { - let h = pallas::Base::from(H as u64); - let scalar_fixed = "1333333333333333333333333333333333333333333333333333333333333333333333333333333333334" - .chars() - .fold(pallas::Base::zero(), |acc, c| { - acc * &h + &pallas::Base::from(c.to_digit(8).unwrap() as u64) - }); - let result = { - let scalar_fixed = chip.load_private( - layouter.namespace(|| "mul with double"), - column, - Some(scalar_fixed), - )?; - base.mul(layouter.namespace(|| "mul with double"), scalar_fixed)? - }; - constrain_equal_non_id( - chip.clone(), - layouter.namespace(|| "mul with double"), - base_val, - scalar_fixed, - result, - )?; - } - - // [0]B should return (0,0) since it uses complete addition - // on the last step. - { - let scalar_fixed = pallas::Base::zero(); - let result = { - let scalar_fixed = - chip.load_private(layouter.namespace(|| "zero"), column, Some(scalar_fixed))?; - base.mul(layouter.namespace(|| "mul by zero"), scalar_fixed)? - }; - if let Some(is_identity) = result.inner().is_identity() { - assert!(is_identity); - } - } - - // [-1]B is the largest base field element - { - let scalar_fixed = -pallas::Base::one(); - let result = { - let scalar_fixed = - chip.load_private(layouter.namespace(|| "-1"), column, Some(scalar_fixed))?; - base.mul(layouter.namespace(|| "mul by -1"), scalar_fixed)? - }; - constrain_equal_non_id( - chip, - layouter.namespace(|| "mul by -1"), - base_val, - scalar_fixed, - result, - )?; - } - - Ok(()) - } -} diff --git a/src/circuit/gadget/ecc/chip/mul_fixed/full_width.rs b/src/circuit/gadget/ecc/chip/mul_fixed/full_width.rs deleted file mode 100644 index 5dcef72d..00000000 --- a/src/circuit/gadget/ecc/chip/mul_fixed/full_width.rs +++ /dev/null @@ -1,317 +0,0 @@ -use super::super::{EccPoint, EccScalarFixed, FixedPoints, FIXED_BASE_WINDOW_SIZE, H, NUM_WINDOWS}; - -use crate::circuit::gadget::utilities::{decompose_word, range_check}; -use arrayvec::ArrayVec; -use ff::PrimeField; -use halo2::{ - circuit::{AssignedCell, Layouter, Region}, - plonk::{ConstraintSystem, Error, Selector}, - poly::Rotation, -}; -use pasta_curves::pallas; - -#[derive(Clone, Debug, Eq, PartialEq)] -pub struct Config> { - q_mul_fixed_full: Selector, - super_config: super::Config, -} - -impl> Config { - pub(crate) fn configure( - meta: &mut ConstraintSystem, - super_config: super::Config, - ) -> Self { - let config = Self { - q_mul_fixed_full: meta.selector(), - super_config, - }; - - config.create_gate(meta); - - config - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - // Check that each window `k` is within 3 bits - meta.create_gate("Full-width fixed-base scalar mul", |meta| { - let q_mul_fixed_full = meta.query_selector(self.q_mul_fixed_full); - let window = meta.query_advice(self.super_config.window, Rotation::cur()); - - self.super_config - .coords_check(meta, q_mul_fixed_full.clone(), window.clone()) - .into_iter() - // Constrain each window to a 3-bit value: - // 1 * (window - 0) * (window - 1) * ... * (window - 7) - .chain(Some(( - "window range check", - q_mul_fixed_full * range_check(window, H), - ))) - }); - } - - /// Witnesses the given scalar as `NUM_WINDOWS` 3-bit windows. - /// - /// The scalar is allowed to be non-canonical. - fn witness( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - scalar: Option, - ) -> Result { - let windows = self.decompose_scalar_fixed::<{ pallas::Scalar::NUM_BITS as usize }>( - scalar, offset, region, - )?; - - Ok(EccScalarFixed { - value: scalar, - windows, - }) - } - - /// Witnesses the given scalar as `NUM_WINDOWS` 3-bit windows. - /// - /// The scalar is allowed to be non-canonical. - fn decompose_scalar_fixed( - &self, - scalar: Option, - offset: usize, - region: &mut Region<'_, pallas::Base>, - ) -> Result, NUM_WINDOWS>, Error> { - // Enable `q_mul_fixed_full` selector - for idx in 0..NUM_WINDOWS { - self.q_mul_fixed_full.enable(region, offset + idx)?; - } - - // Decompose scalar into `k-bit` windows - let scalar_windows: Option> = scalar.map(|scalar| { - decompose_word::(&scalar, SCALAR_NUM_BITS, FIXED_BASE_WINDOW_SIZE) - }); - - // Store the scalar decomposition - let mut windows: ArrayVec, NUM_WINDOWS> = - ArrayVec::new(); - - let scalar_windows: Vec> = if let Some(windows) = scalar_windows { - assert_eq!(windows.len(), NUM_WINDOWS); - windows - .into_iter() - .map(|window| Some(pallas::Base::from(window as u64))) - .collect() - } else { - vec![None; NUM_WINDOWS] - }; - - for (idx, window) in scalar_windows.into_iter().enumerate() { - let window_cell = region.assign_advice( - || format!("k[{:?}]", offset + idx), - self.super_config.window, - offset + idx, - || window.ok_or(Error::Synthesis), - )?; - windows.push(window_cell); - } - - Ok(windows) - } - - pub fn assign( - &self, - mut layouter: impl Layouter, - scalar: Option, - base: &>::FullScalar, - ) -> Result<(EccPoint, EccScalarFixed), Error> - where - >::FullScalar: - super::super::FixedPoint, - { - let (scalar, acc, mul_b) = layouter.assign_region( - || "Full-width fixed-base mul (incomplete addition)", - |mut region| { - let offset = 0; - - let scalar = self.witness(&mut region, offset, scalar)?; - - let (acc, mul_b) = self.super_config.assign_region_inner::<_, NUM_WINDOWS>( - &mut region, - offset, - &(&scalar).into(), - base, - self.q_mul_fixed_full, - )?; - - Ok((scalar, acc, mul_b)) - }, - )?; - - // Add to the accumulator and return the final result as `[scalar]B`. - let result = layouter.assign_region( - || "Full-width fixed-base mul (last window, complete addition)", - |mut region| { - self.super_config.add_config.assign_region( - &mul_b.clone().into(), - &acc.clone().into(), - 0, - &mut region, - ) - }, - )?; - - #[cfg(test)] - // Check that the correct multiple is obtained. - { - use super::super::FixedPoint; - use group::Curve; - - let real_mul = scalar.value.map(|scalar| base.generator() * scalar); - let result = result.point(); - - if let (Some(real_mul), Some(result)) = (real_mul, result) { - assert_eq!(real_mul.to_affine(), result); - } - } - - Ok((result, scalar)) - } -} - -#[cfg(test)] -pub mod tests { - use group::{ff::Field, Curve}; - use halo2::{circuit::Layouter, plonk::Error}; - use pasta_curves::pallas; - use rand::rngs::OsRng; - - use crate::circuit::gadget::ecc::{ - chip::{EccChip, FixedPoint as _, H}, - FixedPoint, NonIdentityPoint, Point, - }; - use crate::constants::{OrchardFixedBases, OrchardFixedBasesFull}; - - pub fn test_mul_fixed( - chip: EccChip, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - // commit_ivk_r - let commit_ivk_r = OrchardFixedBasesFull::CommitIvkR; - test_single_base( - chip.clone(), - layouter.namespace(|| "commit_ivk_r"), - FixedPoint::from_inner(chip.clone(), commit_ivk_r), - commit_ivk_r.generator(), - )?; - - // note_commit_r - let note_commit_r = OrchardFixedBasesFull::NoteCommitR; - test_single_base( - chip.clone(), - layouter.namespace(|| "note_commit_r"), - FixedPoint::from_inner(chip.clone(), note_commit_r), - note_commit_r.generator(), - )?; - - // value_commit_r - let value_commit_r = OrchardFixedBasesFull::ValueCommitR; - test_single_base( - chip.clone(), - layouter.namespace(|| "value_commit_r"), - FixedPoint::from_inner(chip.clone(), value_commit_r), - value_commit_r.generator(), - )?; - - // spend_auth_g - let spend_auth_g = OrchardFixedBasesFull::SpendAuthG; - test_single_base( - chip.clone(), - layouter.namespace(|| "spend_auth_g"), - FixedPoint::from_inner(chip, spend_auth_g), - spend_auth_g.generator(), - )?; - - Ok(()) - } - - #[allow(clippy::op_ref)] - fn test_single_base( - chip: EccChip, - mut layouter: impl Layouter, - base: FixedPoint>, - base_val: pallas::Affine, - ) -> Result<(), Error> { - fn constrain_equal_non_id( - chip: EccChip, - mut layouter: impl Layouter, - base_val: pallas::Affine, - scalar_val: pallas::Scalar, - result: Point>, - ) -> Result<(), Error> { - let expected = NonIdentityPoint::new( - chip, - layouter.namespace(|| "expected point"), - Some((base_val * scalar_val).to_affine()), - )?; - result.constrain_equal(layouter.namespace(|| "constrain result"), &expected) - } - - // [a]B - { - let scalar_fixed = pallas::Scalar::random(OsRng); - - let (result, _) = base.mul(layouter.namespace(|| "random [a]B"), Some(scalar_fixed))?; - constrain_equal_non_id( - chip.clone(), - layouter.namespace(|| "random [a]B"), - base_val, - scalar_fixed, - result, - )?; - } - - // There is a single canonical sequence of window values for which a doubling occurs on the last step: - // 1333333333333333333333333333333333333333333333333333333333333333333333333333333333334 in octal. - // (There is another *non-canonical* sequence - // 5333333333333333333333333333333333333333332711161673731021062440252244051273333333333 in octal.) - { - let h = pallas::Scalar::from(H as u64); - let scalar_fixed = "1333333333333333333333333333333333333333333333333333333333333333333333333333333333334" - .chars() - .fold(pallas::Scalar::zero(), |acc, c| { - acc * &h + &pallas::Scalar::from(c.to_digit(8).unwrap() as u64) - }); - let (result, _) = - base.mul(layouter.namespace(|| "mul with double"), Some(scalar_fixed))?; - - constrain_equal_non_id( - chip.clone(), - layouter.namespace(|| "mul with double"), - base_val, - scalar_fixed, - result, - )?; - } - - // [0]B should return (0,0) since it uses complete addition - // on the last step. - { - let scalar_fixed = pallas::Scalar::zero(); - let (result, _) = base.mul(layouter.namespace(|| "mul by zero"), Some(scalar_fixed))?; - if let Some(is_identity) = result.inner().is_identity() { - assert!(is_identity); - } - } - - // [-1]B is the largest scalar field element. - { - let scalar_fixed = -pallas::Scalar::one(); - let (result, _) = base.mul(layouter.namespace(|| "mul by -1"), Some(scalar_fixed))?; - constrain_equal_non_id( - chip, - layouter.namespace(|| "mul by -1"), - base_val, - scalar_fixed, - result, - )?; - } - - Ok(()) - } -} diff --git a/src/circuit/gadget/ecc/chip/mul_fixed/short.rs b/src/circuit/gadget/ecc/chip/mul_fixed/short.rs deleted file mode 100644 index d8915b52..00000000 --- a/src/circuit/gadget/ecc/chip/mul_fixed/short.rs +++ /dev/null @@ -1,617 +0,0 @@ -use std::{array, convert::TryInto}; - -use super::super::{EccPoint, EccScalarFixedShort, FixedPoints, L_SCALAR_SHORT, NUM_WINDOWS_SHORT}; -use crate::circuit::gadget::{ecc::chip::MagnitudeSign, utilities::bool_check}; - -use halo2::{ - circuit::{Layouter, Region}, - plonk::{ConstraintSystem, Error, Expression, Selector}, - poly::Rotation, -}; -use pasta_curves::pallas; - -#[derive(Clone, Debug, Eq, PartialEq)] -pub struct Config> { - // Selector used for fixed-base scalar mul with short signed exponent. - q_mul_fixed_short: Selector, - super_config: super::Config, -} - -impl> Config { - pub(crate) fn configure( - meta: &mut ConstraintSystem, - super_config: super::Config, - ) -> Self { - let config = Self { - q_mul_fixed_short: meta.selector(), - super_config, - }; - - config.create_gate(meta); - - config - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - meta.create_gate("Short fixed-base mul gate", |meta| { - let q_mul_fixed_short = meta.query_selector(self.q_mul_fixed_short); - let y_p = meta.query_advice(self.super_config.y_p, Rotation::cur()); - let y_a = meta.query_advice(self.super_config.add_config.y_qr, Rotation::cur()); - // z_21 - let last_window = meta.query_advice(self.super_config.u, Rotation::cur()); - let sign = meta.query_advice(self.super_config.window, Rotation::cur()); - - let one = Expression::Constant(pallas::Base::one()); - - // Check that last window is either 0 or 1. - let last_window_check = bool_check(last_window); - // Check that sign is either 1 or -1. - let sign_check = sign.clone() * sign.clone() - one; - - // `(x_a, y_a)` is the result of `[m]B`, where `m` is the magnitude. - // We conditionally negate this result using `y_p = y_a * s`, where `s` is the sign. - - // Check that the final `y_p = y_a` or `y_p = -y_a` - let y_check = (y_p.clone() - y_a.clone()) * (y_p.clone() + y_a.clone()); - - // Check that the correct sign is witnessed s.t. sign * y_p = y_a - let negation_check = sign * y_p - y_a; - - array::IntoIter::new([ - ("last_window_check", last_window_check), - ("sign_check", sign_check), - ("y_check", y_check), - ("negation_check", negation_check), - ]) - .map(move |(name, poly)| (name, q_mul_fixed_short.clone() * poly)) - }); - } - - fn decompose( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - magnitude_sign: MagnitudeSign, - ) -> Result { - let (magnitude, sign) = magnitude_sign; - - // Decompose magnitude - let running_sum = self.super_config.running_sum_config.copy_decompose( - region, - offset, - magnitude.clone(), - true, - L_SCALAR_SHORT, - NUM_WINDOWS_SHORT, - )?; - - Ok(EccScalarFixedShort { - magnitude, - sign, - running_sum: (*running_sum).as_slice().try_into().unwrap(), - }) - } - - pub fn assign( - &self, - mut layouter: impl Layouter, - magnitude_sign: MagnitudeSign, - base: &>::ShortScalar, - ) -> Result<(EccPoint, EccScalarFixedShort), Error> - where - >::ShortScalar: - super::super::FixedPoint, - { - let (scalar, acc, mul_b) = layouter.assign_region( - || "Short fixed-base mul (incomplete addition)", - |mut region| { - let offset = 0; - - // Decompose the scalar - let scalar = self.decompose(&mut region, offset, magnitude_sign.clone())?; - - let (acc, mul_b) = self - .super_config - .assign_region_inner::<_, NUM_WINDOWS_SHORT>( - &mut region, - offset, - &(&scalar).into(), - base, - self.super_config.running_sum_config.q_range_check, - )?; - - Ok((scalar, acc, mul_b)) - }, - )?; - - // Last window - let result = layouter.assign_region( - || "Short fixed-base mul (most significant word)", - |mut region| { - let offset = 0; - // Add to the cumulative sum to get `[magnitude]B`. - let magnitude_mul = self.super_config.add_config.assign_region( - &mul_b.clone().into(), - &acc.clone().into(), - offset, - &mut region, - )?; - - // Increase offset by 1 after complete addition - let offset = offset + 1; - - // Copy sign to `window` column - let sign = scalar.sign.copy_advice( - || "sign", - &mut region, - self.super_config.window, - offset, - )?; - - // Copy last window to `u` column. - // (Although the last window is not a `u` value; we are copying it into the `u` - // column because there is an available cell there.) - let z_21 = scalar.running_sum[21].clone(); - z_21.copy_advice(|| "last_window", &mut region, self.super_config.u, offset)?; - - // Conditionally negate `y`-coordinate - let y_val = if let Some(sign) = sign.value() { - if sign == &-pallas::Base::one() { - magnitude_mul.y.value().cloned().map(|y: pallas::Base| -y) - } else { - magnitude_mul.y.value().cloned() - } - } else { - None - }; - - // Enable mul_fixed_short selector on final row - self.q_mul_fixed_short.enable(&mut region, offset)?; - - // Assign final `y` to `y_p` column and return final point - let y_var = region.assign_advice( - || "y_var", - self.super_config.y_p, - offset, - || y_val.ok_or(Error::Synthesis), - )?; - - Ok(EccPoint { - x: magnitude_mul.x, - y: y_var, - }) - }, - )?; - - #[cfg(test)] - // Check that the correct multiple is obtained. - // This inlined test is only done for valid 64-bit magnitudes - // and valid +/- 1 signs. - // Invalid values result in constraint failures which are - // tested at the circuit-level. - { - use super::super::FixedPoint; - use group::{ff::PrimeField, Curve}; - - if let (Some(magnitude), Some(sign)) = (scalar.magnitude.value(), scalar.sign.value()) { - let magnitude_is_valid = magnitude <= &pallas::Base::from(0xFFFF_FFFF_FFFF_FFFFu64); - let sign_is_valid = sign * sign == pallas::Base::one(); - if magnitude_is_valid && sign_is_valid { - let scalar = scalar.magnitude.value().zip(scalar.sign.value()).map( - |(magnitude, sign)| { - // Move magnitude from base field into scalar field (which always fits - // for Pallas). - let magnitude = pallas::Scalar::from_repr(magnitude.to_repr()).unwrap(); - - let sign = if sign == &pallas::Base::one() { - pallas::Scalar::one() - } else { - -pallas::Scalar::one() - }; - - magnitude * sign - }, - ); - let real_mul = scalar.map(|scalar| base.generator() * scalar); - - let result = result.point(); - - if let (Some(real_mul), Some(result)) = (real_mul, result) { - assert_eq!(real_mul.to_affine(), result); - } - } - } - } - - Ok((result, scalar)) - } -} - -#[cfg(test)] -pub mod tests { - use group::{ff::PrimeField, Curve}; - use halo2::{ - arithmetic::CurveAffine, - circuit::{AssignedCell, Chip, Layouter}, - plonk::{Any, Error}, - }; - use pasta_curves::{arithmetic::FieldExt, pallas}; - - use crate::circuit::gadget::{ - ecc::{ - chip::{EccChip, FixedPoint, MagnitudeSign}, - FixedPointShort, NonIdentityPoint, Point, - }, - utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, - }; - use crate::constants::{OrchardFixedBases, ValueCommitV}; - - #[allow(clippy::op_ref)] - pub fn test_mul_fixed_short( - chip: EccChip, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - // value_commit_v - let base_val = ValueCommitV.generator(); - let value_commit_v = FixedPointShort::from_inner(chip.clone(), ValueCommitV); - - fn load_magnitude_sign( - chip: EccChip, - mut layouter: impl Layouter, - magnitude: pallas::Base, - sign: pallas::Base, - ) -> Result { - let column = chip.config().advices[0]; - let magnitude = - chip.load_private(layouter.namespace(|| "magnitude"), column, Some(magnitude))?; - let sign = chip.load_private(layouter.namespace(|| "sign"), column, Some(sign))?; - - Ok((magnitude, sign)) - } - - fn constrain_equal_non_id( - chip: EccChip, - mut layouter: impl Layouter, - base_val: pallas::Affine, - scalar_val: pallas::Scalar, - result: Point>, - ) -> Result<(), Error> { - let expected = NonIdentityPoint::new( - chip, - layouter.namespace(|| "expected point"), - Some((base_val * scalar_val).to_affine()), - )?; - result.constrain_equal(layouter.namespace(|| "constrain result"), &expected) - } - - let magnitude_signs = [ - ("random [a]B", pallas::Base::from(rand::random::()), { - let mut random_sign = pallas::Base::one(); - if rand::random::() { - random_sign = -random_sign; - } - random_sign - }), - ( - "[2^64 - 1]B", - pallas::Base::from(0xFFFF_FFFF_FFFF_FFFFu64), - pallas::Base::one(), - ), - ( - "-[2^64 - 1]B", - pallas::Base::from(0xFFFF_FFFF_FFFF_FFFFu64), - -pallas::Base::one(), - ), - // There is a single canonical sequence of window values for which a doubling occurs on the last step: - // 1333333333333333333334 in octal. - // [0xB6DB_6DB6_DB6D_B6DC] B - ( - "mul_with_double", - pallas::Base::from(0xB6DB_6DB6_DB6D_B6DCu64), - pallas::Base::one(), - ), - ( - "mul_with_double negative", - pallas::Base::from(0xB6DB_6DB6_DB6D_B6DCu64), - -pallas::Base::one(), - ), - ]; - - for (name, magnitude, sign) in magnitude_signs.iter() { - let (result, _) = { - let magnitude_sign = load_magnitude_sign( - chip.clone(), - layouter.namespace(|| *name), - *magnitude, - *sign, - )?; - value_commit_v.mul(layouter.namespace(|| *name), magnitude_sign)? - }; - // Move from base field into scalar field - let scalar = { - let magnitude = pallas::Scalar::from_repr(magnitude.to_repr()).unwrap(); - let sign = if *sign == pallas::Base::one() { - pallas::Scalar::one() - } else { - -pallas::Scalar::one() - }; - magnitude * sign - }; - constrain_equal_non_id( - chip.clone(), - layouter.namespace(|| *name), - base_val, - scalar, - result, - )?; - } - - let zero_magnitude_signs = [ - ("mul by +zero", pallas::Base::zero(), pallas::Base::one()), - ("mul by -zero", pallas::Base::zero(), -pallas::Base::one()), - ]; - - for (name, magnitude, sign) in zero_magnitude_signs.iter() { - let (result, _) = { - let magnitude_sign = load_magnitude_sign( - chip.clone(), - layouter.namespace(|| *name), - *magnitude, - *sign, - )?; - value_commit_v.mul(layouter.namespace(|| *name), magnitude_sign)? - }; - if let Some(is_identity) = result.inner().is_identity() { - assert!(is_identity); - } - } - - Ok(()) - } - - #[test] - fn invalid_magnitude_sign() { - use crate::circuit::gadget::{ - ecc::chip::{EccConfig, FixedPoint}, - utilities::UtilitiesInstructions, - }; - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::{FailureLocation, MockProver, VerifyFailure}, - plonk::{Circuit, ConstraintSystem, Error}, - }; - - #[derive(Default)] - struct MyCircuit { - magnitude: Option, - sign: Option, - // For test checking - magnitude_error: Option, - } - - impl UtilitiesInstructions for MyCircuit { - type Var = AssignedCell; - } - - impl Circuit for MyCircuit { - type Config = EccConfig; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - Self::default() - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let advices = [ - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - ]; - let lookup_table = meta.lookup_table_column(); - let lagrange_coeffs = [ - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - ]; - - // Shared fixed column for loading constants - let constants = meta.fixed_column(); - meta.enable_constant(constants); - - let range_check = LookupRangeCheckConfig::configure(meta, advices[9], lookup_table); - EccChip::::configure(meta, advices, lagrange_coeffs, range_check) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - let column = config.advices[0]; - - let short_config = config.mul_fixed_short; - let magnitude_sign = { - let magnitude = self.load_private( - layouter.namespace(|| "load magnitude"), - column, - self.magnitude, - )?; - let sign = - self.load_private(layouter.namespace(|| "load sign"), column, self.sign)?; - (magnitude, sign) - }; - - short_config.assign(layouter, magnitude_sign, &ValueCommitV)?; - - Ok(()) - } - } - - // Copied from halo2::dev::util - fn format_value(v: pallas::Base) -> String { - use ff::Field; - if v.is_zero_vartime() { - "0".into() - } else if v == pallas::Base::one() { - "1".into() - } else if v == -pallas::Base::one() { - "-1".into() - } else { - // Format value as hex. - let s = format!("{:?}", v); - // Remove leading zeroes. - let s = s.strip_prefix("0x").unwrap(); - let s = s.trim_start_matches('0'); - format!("0x{}", s) - } - } - - // Magnitude larger than 64 bits should fail - { - let circuits = [ - // 2^64 - MyCircuit { - magnitude: Some(pallas::Base::from_u128(1 << 64)), - sign: Some(pallas::Base::one()), - magnitude_error: Some(pallas::Base::from(1 << 1)), - }, - // -2^64 - MyCircuit { - magnitude: Some(pallas::Base::from_u128(1 << 64)), - sign: Some(-pallas::Base::one()), - magnitude_error: Some(pallas::Base::from(1 << 1)), - }, - // 2^66 - MyCircuit { - magnitude: Some(pallas::Base::from_u128(1 << 66)), - sign: Some(pallas::Base::one()), - magnitude_error: Some(pallas::Base::from(1 << 3)), - }, - // -2^66 - MyCircuit { - magnitude: Some(pallas::Base::from_u128(1 << 66)), - sign: Some(-pallas::Base::one()), - magnitude_error: Some(pallas::Base::from(1 << 3)), - }, - // 2^254 - MyCircuit { - magnitude: Some(pallas::Base::from_u128(1 << 127).square()), - sign: Some(pallas::Base::one()), - magnitude_error: Some( - pallas::Base::from_u128(1 << 95).square() * pallas::Base::from(2), - ), - }, - // -2^254 - MyCircuit { - magnitude: Some(pallas::Base::from_u128(1 << 127).square()), - sign: Some(-pallas::Base::one()), - magnitude_error: Some( - pallas::Base::from_u128(1 << 95).square() * pallas::Base::from(2), - ), - }, - ]; - - for circuit in circuits.iter() { - let prover = MockProver::::run(11, circuit, vec![]).unwrap(); - assert_eq!( - prover.verify(), - Err(vec![ - VerifyFailure::ConstraintNotSatisfied { - constraint: ( - (17, "Short fixed-base mul gate").into(), - 0, - "last_window_check" - ) - .into(), - location: FailureLocation::InRegion { - region: (3, "Short fixed-base mul (most significant word)").into(), - offset: 1, - }, - cell_values: vec![( - ((Any::Advice, 5).into(), 0).into(), - format_value(circuit.magnitude_error.unwrap()), - )], - }, - VerifyFailure::Permutation { - column: (Any::Fixed, 9).into(), - row: 0 - }, - VerifyFailure::Permutation { - column: (Any::Advice, 4).into(), - row: 24 - } - ]) - ); - } - } - - // Sign that is not +/- 1 should fail - { - let magnitude_u64 = rand::random::(); - let circuit = MyCircuit { - magnitude: Some(pallas::Base::from(magnitude_u64)), - sign: Some(pallas::Base::zero()), - magnitude_error: None, - }; - - let negation_check_y = { - *(ValueCommitV.generator() * pallas::Scalar::from(magnitude_u64)) - .to_affine() - .coordinates() - .unwrap() - .y() - }; - - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!( - prover.verify(), - Err(vec![ - VerifyFailure::ConstraintNotSatisfied { - constraint: ((17, "Short fixed-base mul gate").into(), 1, "sign_check") - .into(), - location: FailureLocation::InRegion { - region: (3, "Short fixed-base mul (most significant word)").into(), - offset: 1, - }, - cell_values: vec![(((Any::Advice, 4).into(), 0).into(), "0".to_string())], - }, - VerifyFailure::ConstraintNotSatisfied { - constraint: ( - (17, "Short fixed-base mul gate").into(), - 3, - "negation_check" - ) - .into(), - location: FailureLocation::InRegion { - region: (3, "Short fixed-base mul (most significant word)").into(), - offset: 1, - }, - cell_values: vec![ - ( - ((Any::Advice, 1).into(), 0).into(), - format_value(negation_check_y), - ), - ( - ((Any::Advice, 3).into(), 0).into(), - format_value(negation_check_y), - ), - (((Any::Advice, 4).into(), 0).into(), "0".to_string()), - ], - } - ]) - ); - } - } -} diff --git a/src/circuit/gadget/ecc/chip/witness_point.rs b/src/circuit/gadget/ecc/chip/witness_point.rs deleted file mode 100644 index 1623529c..00000000 --- a/src/circuit/gadget/ecc/chip/witness_point.rs +++ /dev/null @@ -1,171 +0,0 @@ -use super::{EccPoint, NonIdentityEccPoint}; - -use group::prime::PrimeCurveAffine; - -use halo2::{ - circuit::{AssignedCell, Region}, - plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector, VirtualCells}, - poly::Rotation, -}; -use pasta_curves::{arithmetic::CurveAffine, pallas}; - -type Coordinates = ( - AssignedCell, - AssignedCell, -); - -#[derive(Clone, Copy, Debug, Eq, PartialEq)] -pub struct Config { - q_point: Selector, - q_point_non_id: Selector, - // x-coordinate - pub x: Column, - // y-coordinate - pub y: Column, -} - -impl Config { - pub(super) fn configure( - meta: &mut ConstraintSystem, - x: Column, - y: Column, - ) -> Self { - let config = Self { - q_point: meta.selector(), - q_point_non_id: meta.selector(), - x, - y, - }; - - config.create_gate(meta); - - config - } - - fn create_gate(&self, meta: &mut ConstraintSystem) { - let curve_eqn = |meta: &mut VirtualCells| { - let x = meta.query_advice(self.x, Rotation::cur()); - let y = meta.query_advice(self.y, Rotation::cur()); - - // y^2 = x^3 + b - y.square() - (x.clone().square() * x) - Expression::Constant(pallas::Affine::b()) - }; - - meta.create_gate("witness point", |meta| { - // Check that the point being witnessed is either: - // - the identity, which is mapped to (0, 0) in affine coordinates; or - // - a valid curve point y^2 = x^3 + b, where b = 5 in the Pallas equation - - let q_point = meta.query_selector(self.q_point); - let x = meta.query_advice(self.x, Rotation::cur()); - let y = meta.query_advice(self.y, Rotation::cur()); - - vec![ - ("x == 0 v on_curve", q_point.clone() * x * curve_eqn(meta)), - ("y == 0 v on_curve", q_point * y * curve_eqn(meta)), - ] - }); - - meta.create_gate("witness non-identity point", |meta| { - // Check that the point being witnessed is a valid curve point y^2 = x^3 + b, - // where b = 5 in the Pallas equation - - let q_point_non_id = meta.query_selector(self.q_point_non_id); - - vec![("on_curve", q_point_non_id * curve_eqn(meta))] - }); - } - - fn assign_xy( - &self, - value: Option<(pallas::Base, pallas::Base)>, - offset: usize, - region: &mut Region<'_, pallas::Base>, - ) -> Result { - // Assign `x` value - let x_val = value.map(|value| value.0); - let x_var = - region.assign_advice(|| "x", self.x, offset, || x_val.ok_or(Error::Synthesis))?; - - // Assign `y` value - let y_val = value.map(|value| value.1); - let y_var = - region.assign_advice(|| "y", self.y, offset, || y_val.ok_or(Error::Synthesis))?; - - Ok((x_var, y_var)) - } - - /// Assigns a point that can be the identity. - pub(super) fn point( - &self, - value: Option, - offset: usize, - region: &mut Region<'_, pallas::Base>, - ) -> Result { - // Enable `q_point` selector - self.q_point.enable(region, offset)?; - - let value = value.map(|value| { - // Map the identity to (0, 0). - if value == pallas::Affine::identity() { - (pallas::Base::zero(), pallas::Base::zero()) - } else { - let value = value.coordinates().unwrap(); - (*value.x(), *value.y()) - } - }); - - self.assign_xy(value, offset, region) - .map(|(x, y)| EccPoint { x, y }) - } - - /// Assigns a non-identity point. - pub(super) fn point_non_id( - &self, - value: Option, - offset: usize, - region: &mut Region<'_, pallas::Base>, - ) -> Result { - // Enable `q_point_non_id` selector - self.q_point_non_id.enable(region, offset)?; - - if let Some(value) = value { - // Return an error if the point is the identity. - if value == pallas::Affine::identity() { - return Err(Error::Synthesis); - } - }; - - let value = value.map(|value| { - let value = value.coordinates().unwrap(); - (*value.x(), *value.y()) - }); - - self.assign_xy(value, offset, region) - .map(|(x, y)| NonIdentityEccPoint { x, y }) - } -} - -#[cfg(test)] -pub mod tests { - use halo2::circuit::Layouter; - use pasta_curves::pallas; - - use super::*; - use crate::circuit::gadget::ecc::{EccInstructions, NonIdentityPoint}; - - pub fn test_witness_non_id< - EccChip: EccInstructions + Clone + Eq + std::fmt::Debug, - >( - chip: EccChip, - mut layouter: impl Layouter, - ) { - // Witnessing the identity should return an error. - NonIdentityPoint::new( - chip, - layouter.namespace(|| "witness identity"), - Some(pallas::Affine::identity()), - ) - .expect_err("witnessing 𝒪 should return an error"); - } -} diff --git a/src/circuit/gadget/poseidon.rs b/src/circuit/gadget/poseidon.rs deleted file mode 100644 index 92c8f409..00000000 --- a/src/circuit/gadget/poseidon.rs +++ /dev/null @@ -1,298 +0,0 @@ -//! Gadget and chips for the Poseidon algebraic hash function. - -use std::array; -use std::convert::TryInto; -use std::fmt; -use std::marker::PhantomData; - -use group::ff::Field; -use halo2::{ - arithmetic::FieldExt, - circuit::{AssignedCell, Chip, Layouter}, - plonk::Error, -}; - -mod pow5; -pub use pow5::{Pow5Chip, Pow5Config, StateWord}; - -use crate::primitives::poseidon::{ - Absorbing, ConstantLength, Domain, Spec, SpongeMode, Squeezing, State, -}; - -/// A word from the padded input to a Poseidon sponge. -#[derive(Clone, Debug)] -pub enum PaddedWord { - /// A message word provided by the prover. - Message(AssignedCell), - /// A padding word, that will be fixed in the circuit parameters. - Padding(F), -} - -/// The set of circuit instructions required to use the Poseidon permutation. -pub trait PoseidonInstructions, const T: usize, const RATE: usize>: - Chip -{ - /// Variable representing the word over which the Poseidon permutation operates. - type Word: Clone + fmt::Debug + From> + Into>; - - /// Applies the Poseidon permutation to the given state. - fn permute( - &self, - layouter: &mut impl Layouter, - initial_state: &State, - ) -> Result, Error>; -} - -/// The set of circuit instructions required to use the [`Sponge`] and [`Hash`] gadgets. -/// -/// [`Hash`]: self::Hash -pub trait PoseidonSpongeInstructions< - F: FieldExt, - S: Spec, - D: Domain, - const T: usize, - const RATE: usize, ->: PoseidonInstructions -{ - /// Returns the initial empty state for the given domain. - fn initial_state(&self, layouter: &mut impl Layouter) - -> Result, Error>; - - /// Adds the given input to the state. - fn add_input( - &self, - layouter: &mut impl Layouter, - initial_state: &State, - input: &Absorbing, RATE>, - ) -> Result, Error>; - - /// Extracts sponge output from the given state. - fn get_output(state: &State) -> Squeezing; -} - -/// A word over which the Poseidon permutation operates. -#[derive(Debug)] -pub struct Word< - F: FieldExt, - PoseidonChip: PoseidonInstructions, - S: Spec, - const T: usize, - const RATE: usize, -> { - inner: PoseidonChip::Word, -} - -impl< - F: FieldExt, - PoseidonChip: PoseidonInstructions, - S: Spec, - const T: usize, - const RATE: usize, - > Word -{ - /// The word contained in this gadget. - pub fn inner(&self) -> PoseidonChip::Word { - self.inner.clone() - } - - /// Construct a [`Word`] gadget from the inner word. - pub fn from_inner(inner: PoseidonChip::Word) -> Self { - Self { inner } - } -} - -fn poseidon_sponge< - F: FieldExt, - PoseidonChip: PoseidonSpongeInstructions, - S: Spec, - D: Domain, - const T: usize, - const RATE: usize, ->( - chip: &PoseidonChip, - mut layouter: impl Layouter, - state: &mut State, - input: Option<&Absorbing, RATE>>, -) -> Result, Error> { - if let Some(input) = input { - *state = chip.add_input(&mut layouter, state, input)?; - } - *state = chip.permute(&mut layouter, state)?; - Ok(PoseidonChip::get_output(state)) -} - -/// A Poseidon sponge. -#[derive(Debug)] -pub struct Sponge< - F: FieldExt, - PoseidonChip: PoseidonSpongeInstructions, - S: Spec, - M: SpongeMode, - D: Domain, - const T: usize, - const RATE: usize, -> { - chip: PoseidonChip, - mode: M, - state: State, - _marker: PhantomData, -} - -impl< - F: FieldExt, - PoseidonChip: PoseidonSpongeInstructions, - S: Spec, - D: Domain, - const T: usize, - const RATE: usize, - > Sponge, RATE>, D, T, RATE> -{ - /// Constructs a new duplex sponge for the given Poseidon specification. - pub fn new(chip: PoseidonChip, mut layouter: impl Layouter) -> Result { - chip.initial_state(&mut layouter).map(|state| Sponge { - chip, - mode: Absorbing( - (0..RATE) - .map(|_| None) - .collect::>() - .try_into() - .unwrap(), - ), - state, - _marker: PhantomData::default(), - }) - } - - /// Absorbs an element into the sponge. - pub fn absorb( - &mut self, - mut layouter: impl Layouter, - value: PaddedWord, - ) -> Result<(), Error> { - for entry in self.mode.0.iter_mut() { - if entry.is_none() { - *entry = Some(value); - return Ok(()); - } - } - - // We've already absorbed as many elements as we can - let _ = poseidon_sponge( - &self.chip, - layouter.namespace(|| "PoseidonSponge"), - &mut self.state, - Some(&self.mode), - )?; - self.mode = Absorbing::init_with(value); - - Ok(()) - } - - /// Transitions the sponge into its squeezing state. - #[allow(clippy::type_complexity)] - pub fn finish_absorbing( - mut self, - mut layouter: impl Layouter, - ) -> Result, D, T, RATE>, Error> - { - let mode = poseidon_sponge( - &self.chip, - layouter.namespace(|| "PoseidonSponge"), - &mut self.state, - Some(&self.mode), - )?; - - Ok(Sponge { - chip: self.chip, - mode, - state: self.state, - _marker: PhantomData::default(), - }) - } -} - -impl< - F: FieldExt, - PoseidonChip: PoseidonSpongeInstructions, - S: Spec, - D: Domain, - const T: usize, - const RATE: usize, - > Sponge, D, T, RATE> -{ - /// Squeezes an element from the sponge. - pub fn squeeze(&mut self, mut layouter: impl Layouter) -> Result, Error> { - loop { - for entry in self.mode.0.iter_mut() { - if let Some(inner) = entry.take() { - return Ok(inner.into()); - } - } - - // We've already squeezed out all available elements - self.mode = poseidon_sponge( - &self.chip, - layouter.namespace(|| "PoseidonSponge"), - &mut self.state, - None, - )?; - } - } -} - -/// A Poseidon hash function, built around a sponge. -#[derive(Debug)] -pub struct Hash< - F: FieldExt, - PoseidonChip: PoseidonSpongeInstructions, - S: Spec, - D: Domain, - const T: usize, - const RATE: usize, -> { - sponge: Sponge, RATE>, D, T, RATE>, -} - -impl< - F: FieldExt, - PoseidonChip: PoseidonSpongeInstructions, - S: Spec, - D: Domain, - const T: usize, - const RATE: usize, - > Hash -{ - /// Initializes a new hasher. - pub fn init(chip: PoseidonChip, layouter: impl Layouter) -> Result { - Sponge::new(chip, layouter).map(|sponge| Hash { sponge }) - } -} - -impl< - F: FieldExt, - PoseidonChip: PoseidonSpongeInstructions, T, RATE>, - S: Spec, - const T: usize, - const RATE: usize, - const L: usize, - > Hash, T, RATE> -{ - /// Hashes the given input. - pub fn hash( - mut self, - mut layouter: impl Layouter, - message: [AssignedCell; L], - ) -> Result, Error> { - for (i, value) in array::IntoIter::new(message) - .map(PaddedWord::Message) - .chain( as Domain>::padding(L).map(PaddedWord::Padding)) - .enumerate() - { - self.sponge - .absorb(layouter.namespace(|| format!("absorb_{}", i)), value)?; - } - self.sponge - .finish_absorbing(layouter.namespace(|| "finish absorbing"))? - .squeeze(layouter.namespace(|| "squeeze")) - } -} diff --git a/src/circuit/gadget/poseidon/pow5.rs b/src/circuit/gadget/poseidon/pow5.rs deleted file mode 100644 index ad3fa31c..00000000 --- a/src/circuit/gadget/poseidon/pow5.rs +++ /dev/null @@ -1,890 +0,0 @@ -use std::convert::TryInto; -use std::iter; - -use halo2::{ - arithmetic::FieldExt, - circuit::{AssignedCell, Cell, Chip, Layouter, Region}, - plonk::{Advice, Any, Column, ConstraintSystem, Error, Expression, Fixed, Selector}, - poly::Rotation, -}; - -use super::{PaddedWord, PoseidonInstructions, PoseidonSpongeInstructions}; -use crate::primitives::poseidon::{Domain, Mds, Spec, State}; -use crate::{ - circuit::gadget::utilities::Var, - primitives::poseidon::{Absorbing, Squeezing}, -}; - -/// Configuration for a [`Pow5Chip`]. -#[derive(Clone, Debug)] -pub struct Pow5Config { - pub(in crate::circuit) state: [Column; WIDTH], - partial_sbox: Column, - rc_a: [Column; WIDTH], - rc_b: [Column; WIDTH], - s_full: Selector, - s_partial: Selector, - s_pad_and_add: Selector, - - half_full_rounds: usize, - half_partial_rounds: usize, - alpha: [u64; 4], - round_constants: Vec<[F; WIDTH]>, - m_reg: Mds, - m_inv: Mds, -} - -/// A Poseidon chip using an $x^5$ S-Box. -/// -/// The chip is implemented using a single round per row for full rounds, and two rounds -/// per row for partial rounds. -#[derive(Debug)] -pub struct Pow5Chip { - config: Pow5Config, -} - -impl Pow5Chip { - /// Configures this chip for use in a circuit. - /// - /// # Side-effects - /// - /// All columns in `state` will be equality-enabled. - // - // TODO: Does the rate need to be hard-coded here, or only the width? It probably - // needs to be known wherever we implement the hashing gadget, but it isn't strictly - // necessary for the permutation. - pub fn configure>( - meta: &mut ConstraintSystem, - state: [Column; WIDTH], - partial_sbox: Column, - rc_a: [Column; WIDTH], - rc_b: [Column; WIDTH], - ) -> Pow5Config { - assert_eq!(RATE, WIDTH - 1); - // Generate constants for the Poseidon permutation. - // This gadget requires R_F and R_P to be even. - assert!(S::full_rounds() & 1 == 0); - assert!(S::partial_rounds() & 1 == 0); - let half_full_rounds = S::full_rounds() / 2; - let half_partial_rounds = S::partial_rounds() / 2; - let (round_constants, m_reg, m_inv) = S::constants(); - - // This allows state words to be initialized (by constraining them equal to fixed - // values), and used in a permutation from an arbitrary region. rc_a is used in - // every permutation round, while rc_b is empty in the initial and final full - // rounds, so we use rc_b as "scratch space" for fixed values (enabling potential - // layouter optimisations). - for column in iter::empty() - .chain(state.iter().cloned().map(Column::::from)) - .chain(rc_b.iter().cloned().map(Column::::from)) - { - meta.enable_equality(column); - } - - let s_full = meta.selector(); - let s_partial = meta.selector(); - let s_pad_and_add = meta.selector(); - - let alpha = [5, 0, 0, 0]; - let pow_5 = |v: Expression| { - let v2 = v.clone() * v.clone(); - v2.clone() * v2 * v - }; - - meta.create_gate("full round", |meta| { - let s_full = meta.query_selector(s_full); - - (0..WIDTH) - .map(|next_idx| { - let state_next = meta.query_advice(state[next_idx], Rotation::next()); - let expr = (0..WIDTH) - .map(|idx| { - let state_cur = meta.query_advice(state[idx], Rotation::cur()); - let rc_a = meta.query_fixed(rc_a[idx], Rotation::cur()); - pow_5(state_cur + rc_a) * m_reg[next_idx][idx] - }) - .reduce(|acc, term| acc + term) - .expect("WIDTH > 0"); - s_full.clone() * (expr - state_next) - }) - .collect::>() - }); - - meta.create_gate("partial rounds", |meta| { - let cur_0 = meta.query_advice(state[0], Rotation::cur()); - let mid_0 = meta.query_advice(partial_sbox, Rotation::cur()); - - let rc_a0 = meta.query_fixed(rc_a[0], Rotation::cur()); - let rc_b0 = meta.query_fixed(rc_b[0], Rotation::cur()); - - let s_partial = meta.query_selector(s_partial); - - use halo2::plonk::VirtualCells; - let mid = |idx: usize, meta: &mut VirtualCells| { - let mid = mid_0.clone() * m_reg[idx][0]; - (1..WIDTH).fold(mid, |acc, cur_idx| { - let cur = meta.query_advice(state[cur_idx], Rotation::cur()); - let rc_a = meta.query_fixed(rc_a[cur_idx], Rotation::cur()); - acc + (cur + rc_a) * m_reg[idx][cur_idx] - }) - }; - - let next = |idx: usize, meta: &mut VirtualCells| { - (0..WIDTH) - .map(|next_idx| { - let next = meta.query_advice(state[next_idx], Rotation::next()); - next * m_inv[idx][next_idx] - }) - .reduce(|acc, next| acc + next) - .expect("WIDTH > 0") - }; - - let partial_round_linear = |idx: usize, meta: &mut VirtualCells| { - let expr = { - let rc_b = meta.query_fixed(rc_b[idx], Rotation::cur()); - mid(idx, meta) + rc_b - next(idx, meta) - }; - s_partial.clone() * expr - }; - - std::iter::empty() - // state[0] round a - .chain(Some( - s_partial.clone() * (pow_5(cur_0 + rc_a0) - mid_0.clone()), - )) - // state[0] round b - .chain(Some( - s_partial.clone() * (pow_5(mid(0, meta) + rc_b0) - next(0, meta)), - )) - .chain((1..WIDTH).map(|idx| partial_round_linear(idx, meta))) - .collect::>() - }); - - meta.create_gate("pad-and-add", |meta| { - let initial_state_rate = meta.query_advice(state[RATE], Rotation::prev()); - let output_state_rate = meta.query_advice(state[RATE], Rotation::next()); - - let s_pad_and_add = meta.query_selector(s_pad_and_add); - - let pad_and_add = |idx: usize| { - let initial_state = meta.query_advice(state[idx], Rotation::prev()); - let input = meta.query_advice(state[idx], Rotation::cur()); - let output_state = meta.query_advice(state[idx], Rotation::next()); - - // We pad the input by storing the required padding in fixed columns and - // then constraining the corresponding input columns to be equal to it. - s_pad_and_add.clone() * (initial_state + input - output_state) - }; - - (0..RATE) - .map(pad_and_add) - // The capacity element is never altered by the input. - .chain(Some( - s_pad_and_add.clone() * (initial_state_rate - output_state_rate), - )) - .collect::>() - }); - - Pow5Config { - state, - partial_sbox, - rc_a, - rc_b, - s_full, - s_partial, - s_pad_and_add, - half_full_rounds, - half_partial_rounds, - alpha, - round_constants, - m_reg, - m_inv, - } - } - - /// Construct a [`Pow5Chip`]. - pub fn construct(config: Pow5Config) -> Self { - Pow5Chip { config } - } -} - -impl Chip for Pow5Chip { - type Config = Pow5Config; - type Loaded = (); - - fn config(&self) -> &Self::Config { - &self.config - } - - fn loaded(&self) -> &Self::Loaded { - &() - } -} - -impl, const WIDTH: usize, const RATE: usize> - PoseidonInstructions for Pow5Chip -{ - type Word = StateWord; - - fn permute( - &self, - layouter: &mut impl Layouter, - initial_state: &State, - ) -> Result, Error> { - let config = self.config(); - - layouter.assign_region( - || "permute state", - |mut region| { - // Load the initial state into this region. - let state = Pow5State::load(&mut region, config, initial_state)?; - - let state = (0..config.half_full_rounds).fold(Ok(state), |res, r| { - res.and_then(|state| state.full_round(&mut region, config, r, r)) - })?; - - let state = (0..config.half_partial_rounds).fold(Ok(state), |res, r| { - res.and_then(|state| { - state.partial_round( - &mut region, - config, - config.half_full_rounds + 2 * r, - config.half_full_rounds + r, - ) - }) - })?; - - let state = (0..config.half_full_rounds).fold(Ok(state), |res, r| { - res.and_then(|state| { - state.full_round( - &mut region, - config, - config.half_full_rounds + 2 * config.half_partial_rounds + r, - config.half_full_rounds + config.half_partial_rounds + r, - ) - }) - })?; - - Ok(state.0) - }, - ) - } -} - -impl< - F: FieldExt, - S: Spec, - D: Domain, - const WIDTH: usize, - const RATE: usize, - > PoseidonSpongeInstructions for Pow5Chip -{ - fn initial_state( - &self, - layouter: &mut impl Layouter, - ) -> Result, Error> { - let config = self.config(); - let state = layouter.assign_region( - || format!("initial state for domain {}", D::name()), - |mut region| { - let mut state = Vec::with_capacity(WIDTH); - let mut load_state_word = |i: usize, value: F| -> Result<_, Error> { - let var = region.assign_advice_from_constant( - || format!("state_{}", i), - config.state[i], - 0, - value, - )?; - state.push(StateWord(var)); - - Ok(()) - }; - - for i in 0..RATE { - load_state_word(i, F::zero())?; - } - load_state_word(RATE, D::initial_capacity_element())?; - - Ok(state) - }, - )?; - - Ok(state.try_into().unwrap()) - } - - fn add_input( - &self, - layouter: &mut impl Layouter, - initial_state: &State, - input: &Absorbing, RATE>, - ) -> Result, Error> { - let config = self.config(); - layouter.assign_region( - || format!("add input for domain {}", D::name()), - |mut region| { - config.s_pad_and_add.enable(&mut region, 1)?; - - // Load the initial state into this region. - let load_state_word = |i: usize| { - initial_state[i] - .0 - .copy_advice( - || format!("load state_{}", i), - &mut region, - config.state[i], - 0, - ) - .map(StateWord) - }; - let initial_state: Result, Error> = - (0..WIDTH).map(load_state_word).collect(); - let initial_state = initial_state?; - - // Load the input into this region. - let load_input_word = |i: usize| { - let constraint_var = match input.0[i].clone() { - Some(PaddedWord::Message(word)) => word, - Some(PaddedWord::Padding(padding_value)) => region.assign_fixed( - || format!("load pad_{}", i), - config.rc_b[i], - 1, - || Ok(padding_value), - )?, - _ => panic!("Input is not padded"), - }; - constraint_var - .copy_advice( - || format!("load input_{}", i), - &mut region, - config.state[i], - 1, - ) - .map(StateWord) - }; - let input: Result, Error> = (0..RATE).map(load_input_word).collect(); - let input = input?; - - // Constrain the output. - let constrain_output_word = |i: usize| { - let value = initial_state[i].0.value().and_then(|initial_word| { - input - .get(i) - .map(|word| word.0.value().cloned()) - // The capacity element is never altered by the input. - .unwrap_or_else(|| Some(F::zero())) - .map(|input_word| *initial_word + input_word) - }); - region - .assign_advice( - || format!("load output_{}", i), - config.state[i], - 2, - || value.ok_or(Error::Synthesis), - ) - .map(StateWord) - }; - - let output: Result, Error> = (0..WIDTH).map(constrain_output_word).collect(); - output.map(|output| output.try_into().unwrap()) - }, - ) - } - - fn get_output(state: &State) -> Squeezing { - Squeezing( - state[..RATE] - .iter() - .map(|word| Some(word.clone())) - .collect::>() - .try_into() - .unwrap(), - ) - } -} - -/// A word in the Poseidon state. -#[derive(Clone, Debug)] -pub struct StateWord(AssignedCell); - -impl From> for AssignedCell { - fn from(state_word: StateWord) -> AssignedCell { - state_word.0 - } -} - -impl From> for StateWord { - fn from(cell_value: AssignedCell) -> StateWord { - StateWord(cell_value) - } -} - -impl Var for StateWord { - fn cell(&self) -> Cell { - self.0.cell() - } - - fn value(&self) -> Option { - self.0.value().cloned() - } -} - -#[derive(Debug)] -struct Pow5State([StateWord; WIDTH]); - -impl Pow5State { - fn full_round( - self, - region: &mut Region, - config: &Pow5Config, - round: usize, - offset: usize, - ) -> Result { - Self::round(region, config, round, offset, config.s_full, |_| { - let q = self.0.iter().enumerate().map(|(idx, word)| { - word.0 - .value() - .map(|v| *v + config.round_constants[round][idx]) - }); - let r: Option> = q.map(|q| q.map(|q| q.pow(&config.alpha))).collect(); - let m = &config.m_reg; - let state = m.iter().map(|m_i| { - r.as_ref().map(|r| { - r.iter() - .enumerate() - .fold(F::zero(), |acc, (j, r_j)| acc + m_i[j] * r_j) - }) - }); - - Ok((round + 1, state.collect::>().try_into().unwrap())) - }) - } - - fn partial_round( - self, - region: &mut Region, - config: &Pow5Config, - round: usize, - offset: usize, - ) -> Result { - Self::round(region, config, round, offset, config.s_partial, |region| { - let m = &config.m_reg; - let p: Option> = self.0.iter().map(|word| word.0.value().cloned()).collect(); - - let r: Option> = p.map(|p| { - let r_0 = (p[0] + config.round_constants[round][0]).pow(&config.alpha); - let r_i = p[1..] - .iter() - .enumerate() - .map(|(i, p_i)| *p_i + config.round_constants[round][i + 1]); - std::iter::empty().chain(Some(r_0)).chain(r_i).collect() - }); - - region.assign_advice( - || format!("round_{} partial_sbox", round), - config.partial_sbox, - offset, - || r.as_ref().map(|r| r[0]).ok_or(Error::Synthesis), - )?; - - let p_mid: Option> = m - .iter() - .map(|m_i| { - r.as_ref().map(|r| { - m_i.iter() - .zip(r.iter()) - .fold(F::zero(), |acc, (m_ij, r_j)| acc + *m_ij * r_j) - }) - }) - .collect(); - - // Load the second round constants. - let mut load_round_constant = |i: usize| { - region.assign_fixed( - || format!("round_{} rc_{}", round + 1, i), - config.rc_b[i], - offset, - || Ok(config.round_constants[round + 1][i]), - ) - }; - for i in 0..WIDTH { - load_round_constant(i)?; - } - - let r_mid: Option> = p_mid.map(|p| { - let r_0 = (p[0] + config.round_constants[round + 1][0]).pow(&config.alpha); - let r_i = p[1..] - .iter() - .enumerate() - .map(|(i, p_i)| *p_i + config.round_constants[round + 1][i + 1]); - std::iter::empty().chain(Some(r_0)).chain(r_i).collect() - }); - - let state: Vec> = m - .iter() - .map(|m_i| { - r_mid.as_ref().map(|r| { - m_i.iter() - .zip(r.iter()) - .fold(F::zero(), |acc, (m_ij, r_j)| acc + *m_ij * r_j) - }) - }) - .collect(); - - Ok((round + 2, state.try_into().unwrap())) - }) - } - - fn load( - region: &mut Region, - config: &Pow5Config, - initial_state: &State, WIDTH>, - ) -> Result { - let load_state_word = |i: usize| { - initial_state[i] - .0 - .copy_advice(|| format!("load state_{}", i), region, config.state[i], 0) - .map(StateWord) - }; - - let state: Result, _> = (0..WIDTH).map(load_state_word).collect(); - state.map(|state| Pow5State(state.try_into().unwrap())) - } - - fn round( - region: &mut Region, - config: &Pow5Config, - round: usize, - offset: usize, - round_gate: Selector, - round_fn: impl FnOnce(&mut Region) -> Result<(usize, [Option; WIDTH]), Error>, - ) -> Result { - // Enable the required gate. - round_gate.enable(region, offset)?; - - // Load the round constants. - let mut load_round_constant = |i: usize| { - region.assign_fixed( - || format!("round_{} rc_{}", round, i), - config.rc_a[i], - offset, - || Ok(config.round_constants[round][i]), - ) - }; - for i in 0..WIDTH { - load_round_constant(i)?; - } - - // Compute the next round's state. - let (next_round, next_state) = round_fn(region)?; - - let next_state_word = |i: usize| { - let value = next_state[i]; - let var = region.assign_advice( - || format!("round_{} state_{}", next_round, i), - config.state[i], - offset + 1, - || value.ok_or(Error::Synthesis), - )?; - Ok(StateWord(var)) - }; - - let next_state: Result, _> = (0..WIDTH).map(next_state_word).collect(); - next_state.map(|next_state| Pow5State(next_state.try_into().unwrap())) - } -} - -#[cfg(test)] -mod tests { - use group::ff::{Field, PrimeField}; - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::MockProver, - pasta::Fp, - plonk::{Circuit, ConstraintSystem, Error}, - }; - use pasta_curves::pallas; - use rand::rngs::OsRng; - - use super::{PoseidonInstructions, Pow5Chip, Pow5Config, StateWord}; - use crate::{ - circuit::gadget::poseidon::Hash, - primitives::poseidon::{self, ConstantLength, P128Pow5T3 as OrchardNullifier, Spec}, - }; - use std::convert::TryInto; - use std::marker::PhantomData; - - struct PermuteCircuit, const WIDTH: usize, const RATE: usize>( - PhantomData, - ); - - impl, const WIDTH: usize, const RATE: usize> Circuit - for PermuteCircuit - { - type Config = Pow5Config; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - PermuteCircuit::(PhantomData) - } - - fn configure(meta: &mut ConstraintSystem) -> Pow5Config { - let state = (0..WIDTH).map(|_| meta.advice_column()).collect::>(); - let partial_sbox = meta.advice_column(); - - let rc_a = (0..WIDTH).map(|_| meta.fixed_column()).collect::>(); - let rc_b = (0..WIDTH).map(|_| meta.fixed_column()).collect::>(); - - Pow5Chip::configure::( - meta, - state.try_into().unwrap(), - partial_sbox, - rc_a.try_into().unwrap(), - rc_b.try_into().unwrap(), - ) - } - - fn synthesize( - &self, - config: Pow5Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - let initial_state = layouter.assign_region( - || "prepare initial state", - |mut region| { - let state_word = |i: usize| { - let value = Some(Fp::from(i as u64)); - let var = region.assign_advice( - || format!("load state_{}", i), - config.state[i], - 0, - || value.ok_or(Error::Synthesis), - )?; - Ok(StateWord(var)) - }; - - let state: Result, Error> = (0..WIDTH).map(state_word).collect(); - Ok(state?.try_into().unwrap()) - }, - )?; - - let chip = Pow5Chip::construct(config.clone()); - let final_state = as PoseidonInstructions< - Fp, - S, - WIDTH, - RATE, - >>::permute(&chip, &mut layouter, &initial_state)?; - - // For the purpose of this test, compute the real final state inline. - let mut expected_final_state = (0..WIDTH) - .map(|idx| Fp::from(idx as u64)) - .collect::>() - .try_into() - .unwrap(); - let (round_constants, mds, _) = S::constants(); - poseidon::permute::<_, S, WIDTH, RATE>( - &mut expected_final_state, - &mds, - &round_constants, - ); - - layouter.assign_region( - || "constrain final state", - |mut region| { - let mut final_state_word = |i: usize| { - let var = region.assign_advice( - || format!("load final_state_{}", i), - config.state[i], - 0, - || Ok(expected_final_state[i]), - )?; - region.constrain_equal(final_state[i].0.cell(), var.cell()) - }; - - for i in 0..(WIDTH) { - final_state_word(i)?; - } - - Ok(()) - }, - ) - } - } - - #[test] - fn poseidon_permute() { - let k = 6; - let circuit = PermuteCircuit::(PhantomData); - let prover = MockProver::run(k, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())) - } - - struct HashCircuit< - S: Spec, - const WIDTH: usize, - const RATE: usize, - const L: usize, - > { - message: Option<[Fp; L]>, - // For the purpose of this test, witness the result. - // TODO: Move this into an instance column. - output: Option, - _spec: PhantomData, - } - - impl, const WIDTH: usize, const RATE: usize, const L: usize> - Circuit for HashCircuit - { - type Config = Pow5Config; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - Self { - message: None, - output: None, - _spec: PhantomData, - } - } - - fn configure(meta: &mut ConstraintSystem) -> Pow5Config { - let state = (0..WIDTH).map(|_| meta.advice_column()).collect::>(); - let partial_sbox = meta.advice_column(); - - let rc_a = (0..WIDTH).map(|_| meta.fixed_column()).collect::>(); - let rc_b = (0..WIDTH).map(|_| meta.fixed_column()).collect::>(); - - meta.enable_constant(rc_b[0]); - - Pow5Chip::configure::( - meta, - state.try_into().unwrap(), - partial_sbox, - rc_a.try_into().unwrap(), - rc_b.try_into().unwrap(), - ) - } - - fn synthesize( - &self, - config: Pow5Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - let chip = Pow5Chip::construct(config.clone()); - - let message = layouter.assign_region( - || "load message", - |mut region| { - let message_word = |i: usize| { - let value = self.message.map(|message_vals| message_vals[i]); - region.assign_advice( - || format!("load message_{}", i), - config.state[i], - 0, - || value.ok_or(Error::Synthesis), - ) - }; - - let message: Result, Error> = (0..L).map(message_word).collect(); - Ok(message?.try_into().unwrap()) - }, - )?; - - let hasher = Hash::<_, _, S, ConstantLength, WIDTH, RATE>::init( - chip, - layouter.namespace(|| "init"), - )?; - let output = hasher.hash(layouter.namespace(|| "hash"), message)?; - - layouter.assign_region( - || "constrain output", - |mut region| { - let expected_var = region.assign_advice( - || "load output", - config.state[0], - 0, - || self.output.ok_or(Error::Synthesis), - )?; - region.constrain_equal(output.cell(), expected_var.cell()) - }, - ) - } - } - - #[test] - fn poseidon_hash() { - let rng = OsRng; - - let message = [Fp::random(rng), Fp::random(rng)]; - let output = - poseidon::Hash::<_, OrchardNullifier, ConstantLength<2>, 3, 2>::init().hash(message); - - let k = 6; - let circuit = HashCircuit:: { - message: Some(message), - output: Some(output), - _spec: PhantomData, - }; - let prover = MockProver::run(k, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())) - } - - #[test] - fn poseidon_hash_longer_input() { - let rng = OsRng; - - let message = [Fp::random(rng), Fp::random(rng), Fp::random(rng)]; - let output = - poseidon::Hash::<_, OrchardNullifier, ConstantLength<3>, 3, 2>::init().hash(message); - - let k = 7; - let circuit = HashCircuit:: { - message: Some(message), - output: Some(output), - _spec: PhantomData, - }; - let prover = MockProver::run(k, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())) - } - - #[test] - fn hash_test_vectors() { - for tv in crate::primitives::poseidon::test_vectors::fp::hash() { - let message = [ - pallas::Base::from_repr(tv.input[0]).unwrap(), - pallas::Base::from_repr(tv.input[1]).unwrap(), - ]; - let output = poseidon::Hash::<_, OrchardNullifier, ConstantLength<2>, 3, 2>::init() - .hash(message); - - let k = 6; - let circuit = HashCircuit:: { - message: Some(message), - output: Some(output), - _spec: PhantomData, - }; - let prover = MockProver::run(k, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - } - - #[cfg(feature = "dev-graph")] - #[test] - fn print_poseidon_chip() { - use plotters::prelude::*; - - let root = BitMapBackend::new("poseidon-chip-layout.png", (1024, 768)).into_drawing_area(); - root.fill(&WHITE).unwrap(); - let root = root - .titled("Poseidon Chip Layout", ("sans-serif", 60)) - .unwrap(); - - let circuit = HashCircuit:: { - message: None, - output: None, - _spec: PhantomData, - }; - halo2::dev::CircuitLayout::default() - .render(6, &circuit, &root) - .unwrap(); - } -} diff --git a/src/circuit/gadget/sinsemilla.rs b/src/circuit/gadget/sinsemilla.rs deleted file mode 100644 index 17cce3fa..00000000 --- a/src/circuit/gadget/sinsemilla.rs +++ /dev/null @@ -1,686 +0,0 @@ -//! Gadget and chips for the Sinsemilla hash function. -use crate::circuit::gadget::{ - ecc::{self, EccInstructions, FixedPoints}, - utilities::Var, -}; -use group::ff::{Field, PrimeField}; -use halo2::{circuit::Layouter, plonk::Error}; -use pasta_curves::arithmetic::CurveAffine; -use std::fmt::Debug; - -pub mod chip; -pub mod merkle; -mod message; - -/// The set of circuit instructions required to use the [`Sinsemilla`](https://zcash.github.io/halo2/design/gadgets/sinsemilla.html) gadget. -/// This trait is bounded on two constant parameters: `K`, the number of bits -/// in each word accepted by the Sinsemilla hash, and `MAX_WORDS`, the maximum -/// number of words that a single hash instance can process. -pub trait SinsemillaInstructions { - /// A variable in the circuit. - type CellValue: Var; - - /// A message composed of [`Self::MessagePiece`]s. - type Message: From>; - - /// A piece in a message containing a number of `K`-bit words. - /// A [`Self::MessagePiece`] fits in a single base field element, - /// which means it can only contain up to `N` words, where - /// `N*K <= C::Base::CAPACITY`. - /// - /// For example, in the case `K = 10`, `CAPACITY = 254`, we can fit - /// up to `N = 25` words in a single base field element. - type MessagePiece: Clone + Debug; - - /// A cumulative sum `z` is used to decompose a Sinsemilla message. It - /// produces intermediate values for each word in the message, such - /// that `z_next` = (`z_cur` - `word_next`) / `2^K`. - /// - /// These intermediate values are useful for range checks on subsets - /// of the Sinsemilla message. Sinsemilla messages in the Orchard - /// protocol are composed of field elements, and we need to check - /// the canonicity of the field element encodings in certain cases. - type RunningSum; - - /// The x-coordinate of a point output of [`Self::hash_to_point`]. - type X; - /// A point output of [`Self::hash_to_point`]. - type NonIdentityPoint: Clone + Debug; - /// A type enumerating the fixed points used in `CommitDomains`. - type FixedPoints: FixedPoints; - - /// HashDomains used in this instruction. - type HashDomains: HashDomains; - /// CommitDomains used in this instruction. - type CommitDomains: CommitDomains; - - /// Witness a message piece given a field element. Returns a [`Self::MessagePiece`] - /// encoding the given message. - /// - /// # Panics - /// - /// Panics if `num_words` exceed the maximum number of `K`-bit words that - /// can fit into a single base field element. - fn witness_message_piece( - &self, - layouter: impl Layouter, - value: Option, - num_words: usize, - ) -> Result; - - /// Hashes a message to an ECC curve point. - /// This returns both the resulting point, as well as the message - /// decomposition in the form of intermediate values in a cumulative - /// sum. - /// - #[allow(non_snake_case)] - #[allow(clippy::type_complexity)] - fn hash_to_point( - &self, - layouter: impl Layouter, - Q: C, - message: Self::Message, - ) -> Result<(Self::NonIdentityPoint, Vec), Error>; - - /// Extracts the x-coordinate of the output of a Sinsemilla hash. - fn extract(point: &Self::NonIdentityPoint) -> Self::X; -} - -/// A message to be hashed. -/// -/// Composed of [`MessagePiece`]s with bitlength some multiple of `K`. -/// -/// [`MessagePiece`]: SinsemillaInstructions::MessagePiece -#[derive(Clone, Debug)] -pub struct Message -where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, -{ - chip: SinsemillaChip, - inner: SinsemillaChip::Message, -} - -impl - Message -where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, -{ - fn from_bitstring( - chip: SinsemillaChip, - mut layouter: impl Layouter, - bitstring: Vec>, - ) -> Result { - // Message must be composed of `K`-bit words. - assert_eq!(bitstring.len() % K, 0); - - // Message must have at most `MAX_WORDS` words. - assert!(bitstring.len() / K <= MAX_WORDS); - - // Each message piece must have at most `floor(C::CAPACITY / K)` words. - let piece_num_words = C::Base::CAPACITY as usize / K; - let pieces: Result, _> = bitstring - .chunks(piece_num_words * K) - .enumerate() - .map( - |(i, piece)| -> Result, Error> { - MessagePiece::from_bitstring( - chip.clone(), - layouter.namespace(|| format!("message piece {}", i)), - piece, - ) - }, - ) - .collect(); - - pieces.map(|pieces| Self::from_pieces(chip, pieces)) - } - - /// Constructs a message from a vector of [`MessagePiece`]s. - /// - /// [`MessagePiece`]: SinsemillaInstructions::MessagePiece - pub fn from_pieces( - chip: SinsemillaChip, - pieces: Vec>, - ) -> Self { - Self { - chip, - inner: pieces - .into_iter() - .map(|piece| piece.inner) - .collect::>() - .into(), - } - } -} - -#[derive(Copy, Clone, Debug)] -pub struct MessagePiece -where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, -{ - chip: SinsemillaChip, - inner: SinsemillaChip::MessagePiece, -} - -impl - MessagePiece -where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, -{ - /// Returns the inner MessagePiece contained in this gadget. - pub fn inner(&self) -> SinsemillaChip::MessagePiece { - self.inner.clone() - } -} - -impl - MessagePiece -where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, -{ - fn from_bitstring( - chip: SinsemillaChip, - layouter: impl Layouter, - bitstring: &[Option], - ) -> Result { - // Message must be composed of `K`-bit words. - assert_eq!(bitstring.len() % K, 0); - let num_words = bitstring.len() / K; - - // Each message piece must have at most `floor(C::Base::CAPACITY / K)` words. - // This ensures that the all-ones bitstring is canonical in the field. - let piece_max_num_words = C::Base::CAPACITY as usize / K; - assert!(num_words <= piece_max_num_words as usize); - - // Closure to parse a bitstring (little-endian) into a base field element. - let to_base_field = |bits: &[Option]| -> Option { - let bits: Option> = bits.iter().cloned().collect(); - bits.map(|bits| { - bits.into_iter().rev().fold(C::Base::zero(), |acc, bit| { - if bit { - acc.double() + C::Base::one() - } else { - acc.double() - } - }) - }) - }; - - let piece_value = to_base_field(bitstring); - Self::from_field_elem(chip, layouter, piece_value, num_words) - } - - /// Constructs a MessagePiece from a field element. - pub fn from_field_elem( - chip: SinsemillaChip, - layouter: impl Layouter, - field_elem: Option, - num_words: usize, - ) -> Result { - let inner = chip.witness_message_piece(layouter, field_elem, num_words)?; - Ok(Self { chip, inner }) - } -} - -/// A domain in which $\mathsf{SinsemillaHashToPoint}$ and $\mathsf{SinsemillaHash}$ can -/// be used. -#[allow(non_snake_case)] -pub struct HashDomain< - C: CurveAffine, - SinsemillaChip, - EccChip, - const K: usize, - const MAX_WORDS: usize, -> where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, - EccChip: EccInstructions< - C, - NonIdentityPoint = >::NonIdentityPoint, - FixedPoints = >::FixedPoints, - > + Clone - + Debug - + Eq, -{ - sinsemilla_chip: SinsemillaChip, - ecc_chip: EccChip, - Q: C, -} - -impl - HashDomain -where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, - EccChip: EccInstructions< - C, - NonIdentityPoint = >::NonIdentityPoint, - FixedPoints = >::FixedPoints, - > + Clone - + Debug - + Eq, -{ - #[allow(non_snake_case)] - /// Constructs a new `HashDomain` for the given domain. - pub fn new( - sinsemilla_chip: SinsemillaChip, - ecc_chip: EccChip, - domain: &SinsemillaChip::HashDomains, - ) -> Self { - HashDomain { - sinsemilla_chip, - ecc_chip, - Q: domain.Q(), - } - } - - #[allow(clippy::type_complexity)] - /// $\mathsf{SinsemillaHashToPoint}$ from [§ 5.4.1.9][concretesinsemillahash]. - /// - /// [concretesinsemillahash]: https://zips.z.cash/protocol/protocol.pdf#concretesinsemillahash - pub fn hash_to_point( - &self, - layouter: impl Layouter, - message: Message, - ) -> Result<(ecc::NonIdentityPoint, Vec), Error> { - assert_eq!(self.sinsemilla_chip, message.chip); - self.sinsemilla_chip - .hash_to_point(layouter, self.Q, message.inner) - .map(|(point, zs)| (ecc::NonIdentityPoint::from_inner(self.ecc_chip.clone(), point), zs)) - } - - /// $\mathsf{SinsemillaHash}$ from [§ 5.4.1.9][concretesinsemillahash]. - /// - /// [concretesinsemillahash]: https://zips.z.cash/protocol/protocol.pdf#concretesinsemillahash - #[allow(clippy::type_complexity)] - pub fn hash( - &self, - layouter: impl Layouter, - message: Message, - ) -> Result<(ecc::X, Vec), Error> { - assert_eq!(self.sinsemilla_chip, message.chip); - let (p, zs) = self.hash_to_point(layouter, message)?; - Ok((p.extract_p(), zs)) - } -} - -/// Trait allowing circuit's Sinsemilla CommitDomains to be enumerated. -pub trait CommitDomains, H: HashDomains>: - Clone + Debug -{ - /// Returns the fixed point corresponding to the R constant used for - /// randomization in this CommitDomain. - fn r(&self) -> F::FullScalar; - - /// Returns the HashDomain contained in this CommitDomain - fn hash_domain(&self) -> H; -} - -/// Trait allowing circuit's Sinsemilla HashDomains to be enumerated. -#[allow(non_snake_case)] -pub trait HashDomains: Clone + Debug { - fn Q(&self) -> C; -} - -#[allow(non_snake_case)] -pub struct CommitDomain< - C: CurveAffine, - SinsemillaChip, - EccChip, - const K: usize, - const MAX_WORDS: usize, -> where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, - EccChip: EccInstructions< - C, - NonIdentityPoint = >::NonIdentityPoint, - FixedPoints = >::FixedPoints, - > + Clone - + Debug - + Eq, -{ - M: HashDomain, - R: ecc::FixedPoint, -} - -impl - CommitDomain -where - SinsemillaChip: SinsemillaInstructions + Clone + Debug + Eq, - EccChip: EccInstructions< - C, - NonIdentityPoint = >::NonIdentityPoint, - FixedPoints = >::FixedPoints, - > + Clone - + Debug - + Eq, -{ - /// Constructs a new `CommitDomain` for the given domain. - pub fn new( - sinsemilla_chip: SinsemillaChip, - ecc_chip: EccChip, - // TODO: Instead of using SinsemilllaChip::CommitDomains, just use something that implements a CommitDomains trait - domain: &SinsemillaChip::CommitDomains, - ) -> Self { - CommitDomain { - M: HashDomain::new(sinsemilla_chip, ecc_chip.clone(), &domain.hash_domain()), - R: ecc::FixedPoint::from_inner(ecc_chip, domain.r()), - } - } - - #[allow(clippy::type_complexity)] - /// $\mathsf{SinsemillaCommit}$ from [§ 5.4.8.4][concretesinsemillacommit]. - /// - /// [concretesinsemillacommit]: https://zips.z.cash/protocol/nu5.pdf#concretesinsemillacommit - pub fn commit( - &self, - mut layouter: impl Layouter, - message: Message, - r: Option, - ) -> Result< - ( - ecc::Point, - Vec, - ), - Error, - > { - assert_eq!(self.M.sinsemilla_chip, message.chip); - let (blind, _) = self.R.mul(layouter.namespace(|| "[r] R"), r)?; - let (p, zs) = self.M.hash_to_point(layouter.namespace(|| "M"), message)?; - let commitment = p.add(layouter.namespace(|| "M + [r] R"), &blind)?; - Ok((commitment, zs)) - } - - #[allow(clippy::type_complexity)] - /// $\mathsf{SinsemillaShortCommit}$ from [§ 5.4.8.4][concretesinsemillacommit]. - /// - /// [concretesinsemillacommit]: https://zips.z.cash/protocol/nu5.pdf#concretesinsemillacommit - pub fn short_commit( - &self, - mut layouter: impl Layouter, - message: Message, - r: Option, - ) -> Result<(ecc::X, Vec), Error> { - assert_eq!(self.M.sinsemilla_chip, message.chip); - let (p, zs) = self.commit(layouter.namespace(|| "commit"), message, r)?; - Ok((p.extract_p(), zs)) - } -} - -#[cfg(test)] -mod tests { - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::MockProver, - plonk::{Circuit, ConstraintSystem, Error}, - }; - use rand::rngs::OsRng; - - use super::{ - chip::{SinsemillaChip, SinsemillaConfig}, - CommitDomain, HashDomain, Message, MessagePiece, - }; - - use crate::{ - circuit::gadget::{ - ecc::{ - chip::{EccChip, EccConfig}, - NonIdentityPoint, - }, - utilities::lookup_range_check::LookupRangeCheckConfig, - }, - constants::{ - fixed_bases::COMMIT_IVK_PERSONALIZATION, sinsemilla::MERKLE_CRH_PERSONALIZATION, - OrchardCommitDomains, OrchardFixedBases, OrchardHashDomains, - }, - primitives::sinsemilla::{self, K}, - }; - - use group::{ff::Field, Curve}; - use pasta_curves::pallas; - - use std::convert::TryInto; - - struct MyCircuit {} - - impl Circuit for MyCircuit { - #[allow(clippy::type_complexity)] - type Config = ( - EccConfig, - SinsemillaConfig, - SinsemillaConfig, - ); - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - MyCircuit {} - } - - #[allow(non_snake_case)] - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let advices = [ - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - ]; - - // Shared fixed column for loading constants - let constants = meta.fixed_column(); - meta.enable_constant(constants); - - let table_idx = meta.lookup_table_column(); - let lagrange_coeffs = [ - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - meta.fixed_column(), - ]; - - // Fixed columns for the Sinsemilla generator lookup table - let lookup = ( - table_idx, - meta.lookup_table_column(), - meta.lookup_table_column(), - ); - - let range_check = LookupRangeCheckConfig::configure(meta, advices[9], table_idx); - - let ecc_config = EccChip::::configure( - meta, - advices, - lagrange_coeffs, - range_check, - ); - - let config1 = SinsemillaChip::configure( - meta, - advices[..5].try_into().unwrap(), - advices[2], - lagrange_coeffs[0], - lookup, - range_check, - ); - let config2 = SinsemillaChip::configure( - meta, - advices[5..].try_into().unwrap(), - advices[7], - lagrange_coeffs[1], - lookup, - range_check, - ); - (ecc_config, config1, config2) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - let rng = OsRng; - - let ecc_chip = EccChip::construct(config.0); - - // The two `SinsemillaChip`s share the same lookup table. - SinsemillaChip::::load( - config.1.clone(), - &mut layouter, - )?; - - // This MerkleCRH example is purely for illustrative purposes. - // It is not an implementation of the Orchard protocol spec. - { - let chip1 = SinsemillaChip::construct(config.1); - - let merkle_crh = HashDomain::new( - chip1.clone(), - ecc_chip.clone(), - &OrchardHashDomains::MerkleCrh, - ); - - // Layer 31, l = MERKLE_DEPTH - 1 - layer = 0 - let l_bitstring = vec![Some(false); K]; - let l = MessagePiece::from_bitstring( - chip1.clone(), - layouter.namespace(|| "l"), - &l_bitstring, - )?; - - // Left leaf - let left_bitstring: Vec> = - (0..250).map(|_| Some(rand::random::())).collect(); - let left = MessagePiece::from_bitstring( - chip1.clone(), - layouter.namespace(|| "left"), - &left_bitstring, - )?; - - // Right leaf - let right_bitstring: Vec> = - (0..250).map(|_| Some(rand::random::())).collect(); - let right = MessagePiece::from_bitstring( - chip1.clone(), - layouter.namespace(|| "right"), - &right_bitstring, - )?; - - let l_bitstring: Option> = l_bitstring.into_iter().collect(); - let left_bitstring: Option> = left_bitstring.into_iter().collect(); - let right_bitstring: Option> = right_bitstring.into_iter().collect(); - - // Witness expected parent - let expected_parent = { - let expected_parent = if let (Some(l), Some(left), Some(right)) = - (l_bitstring, left_bitstring, right_bitstring) - { - let merkle_crh = sinsemilla::HashDomain::new(MERKLE_CRH_PERSONALIZATION); - let point = merkle_crh - .hash_to_point( - l.into_iter() - .chain(left.into_iter()) - .chain(right.into_iter()), - ) - .unwrap(); - Some(point.to_affine()) - } else { - None - }; - - NonIdentityPoint::new( - ecc_chip.clone(), - layouter.namespace(|| "Witness expected parent"), - expected_parent, - )? - }; - - // Parent - let (parent, _) = { - let message = Message::from_pieces(chip1, vec![l, left, right]); - merkle_crh.hash_to_point(layouter.namespace(|| "parent"), message)? - }; - - parent.constrain_equal( - layouter.namespace(|| "parent == expected parent"), - &expected_parent, - )?; - } - - { - let chip2 = SinsemillaChip::construct(config.2); - - let commit_ivk = CommitDomain::new( - chip2.clone(), - ecc_chip.clone(), - &OrchardCommitDomains::CommitIvk, - ); - let r_val = pallas::Scalar::random(rng); - let message: Vec> = - (0..500).map(|_| Some(rand::random::())).collect(); - - let (result, _) = { - let message = Message::from_bitstring( - chip2, - layouter.namespace(|| "witness message"), - message.clone(), - )?; - commit_ivk.commit(layouter.namespace(|| "commit"), message, Some(r_val))? - }; - - // Witness expected result. - let expected_result = { - let message: Option> = message.into_iter().collect(); - let expected_result = if let Some(message) = message { - let domain = sinsemilla::CommitDomain::new(COMMIT_IVK_PERSONALIZATION); - let point = domain.commit(message.into_iter(), &r_val).unwrap(); - Some(point.to_affine()) - } else { - None - }; - - NonIdentityPoint::new( - ecc_chip, - layouter.namespace(|| "Witness expected result"), - expected_result, - )? - }; - - result.constrain_equal( - layouter.namespace(|| "result == expected result"), - &expected_result, - ) - } - } - } - - #[test] - fn sinsemilla_chip() { - let k = 11; - let circuit = MyCircuit {}; - let prover = MockProver::run(k, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())) - } - - #[cfg(feature = "dev-graph")] - #[test] - fn print_sinsemilla_chip() { - use plotters::prelude::*; - - let root = - BitMapBackend::new("sinsemilla-hash-layout.png", (1024, 7680)).into_drawing_area(); - root.fill(&WHITE).unwrap(); - let root = root.titled("SinsemillaHash", ("sans-serif", 60)).unwrap(); - - let circuit = MyCircuit {}; - halo2::dev::CircuitLayout::default() - .render(11, &circuit, &root) - .unwrap(); - } -} diff --git a/src/circuit/gadget/sinsemilla/chip.rs b/src/circuit/gadget/sinsemilla/chip.rs deleted file mode 100644 index 2b9577a5..00000000 --- a/src/circuit/gadget/sinsemilla/chip.rs +++ /dev/null @@ -1,328 +0,0 @@ -use super::{ - message::{Message, MessagePiece}, - CommitDomains, HashDomains, SinsemillaInstructions, -}; -use crate::{ - circuit::gadget::{ - ecc::{chip::NonIdentityEccPoint, FixedPoints}, - utilities::lookup_range_check::LookupRangeCheckConfig, - }, - primitives::sinsemilla, -}; -use std::marker::PhantomData; - -use halo2::{ - circuit::{AssignedCell, Chip, Layouter}, - plonk::{ - Advice, Column, ConstraintSystem, Error, Expression, Fixed, Selector, TableColumn, - VirtualCells, - }, - poly::Rotation, -}; -use pasta_curves::pallas; - -mod generator_table; -use generator_table::GeneratorTableConfig; - -mod hash_to_point; - -/// Configuration for the Sinsemilla hash chip -#[derive(Eq, PartialEq, Clone, Debug)] -pub struct SinsemillaConfig -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - /// Binary selector used in lookup argument and in the body of the Sinsemilla hash. - q_sinsemilla1: Selector, - /// Non-binary selector used in lookup argument and in the body of the Sinsemilla hash. - q_sinsemilla2: Column, - /// q_sinsemilla2 is used to define a synthetic selector, - /// q_sinsemilla3 = (q_sinsemilla2) ⋅ (q_sinsemilla2 - 1) - /// Simple selector used to constrain hash initialization to be consistent with - /// the y-coordinate of the domain $Q$. - q_sinsemilla4: Selector, - /// Fixed column used to load the y-coordinate of the domain $Q$. - fixed_y_q: Column, - /// Advice column used to store the x-coordinate of the accumulator at each - /// iteration of the hash. - x_a: Column, - /// Advice column used to store the x-coordinate of the generator corresponding - /// to the message word at each iteration of the hash. This is looked up in the - /// generator table. - x_p: Column, - /// Advice column used to load the message. - bits: Column, - /// Advice column used to store the $\lambda_1$ intermediate value at each - /// iteration. - lambda_1: Column, - /// Advice column used to store the $\lambda_2$ intermediate value at each - /// iteration. - lambda_2: Column, - /// Advice column used to witness message pieces. This may or may not be the same - /// column as `bits`. - witness_pieces: Column, - /// The lookup table where $(\mathsf{idx}, x_p, y_p)$ are loaded for the $2^K$ - /// generators of the Sinsemilla hash. - pub(super) generator_table: GeneratorTableConfig, - /// An advice column configured to perform lookup range checks. - lookup_config: LookupRangeCheckConfig, - _marker: PhantomData<(Hash, Commit, F)>, -} - -impl SinsemillaConfig -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - /// Returns an array of all advice columns in this config, in arbitrary order. - pub(super) fn advices(&self) -> [Column; 5] { - [self.x_a, self.x_p, self.bits, self.lambda_1, self.lambda_2] - } - - /// Returns the lookup range check config used in this config. - pub fn lookup_config(&self) -> LookupRangeCheckConfig { - self.lookup_config - } -} - -#[derive(Eq, PartialEq, Clone, Debug)] -pub struct SinsemillaChip -where - Hash: HashDomains, - Fixed: FixedPoints, - Commit: CommitDomains, -{ - config: SinsemillaConfig, -} - -impl Chip for SinsemillaChip -where - Hash: HashDomains, - Fixed: FixedPoints, - Commit: CommitDomains, -{ - type Config = SinsemillaConfig; - type Loaded = (); - - fn config(&self) -> &Self::Config { - &self.config - } - - fn loaded(&self) -> &Self::Loaded { - &() - } -} - -impl SinsemillaChip -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - pub fn construct(config: >::Config) -> Self { - Self { config } - } - - pub fn load( - config: SinsemillaConfig, - layouter: &mut impl Layouter, - ) -> Result<>::Loaded, Error> { - // Load the lookup table. - config.generator_table.load(layouter) - } - - /// # Side-effects - /// - /// All columns in `advices` and will be equality-enabled. - #[allow(clippy::too_many_arguments)] - #[allow(non_snake_case)] - pub fn configure( - meta: &mut ConstraintSystem, - advices: [Column; 5], - witness_pieces: Column, - fixed_y_q: Column, - lookup: (TableColumn, TableColumn, TableColumn), - range_check: LookupRangeCheckConfig, - ) -> >::Config { - // Enable equality on all advice columns - for advice in advices.iter() { - meta.enable_equality(*advice); - } - - let config = SinsemillaConfig:: { - q_sinsemilla1: meta.complex_selector(), - q_sinsemilla2: meta.fixed_column(), - q_sinsemilla4: meta.selector(), - fixed_y_q, - x_a: advices[0], - x_p: advices[1], - bits: advices[2], - lambda_1: advices[3], - lambda_2: advices[4], - witness_pieces, - generator_table: GeneratorTableConfig { - table_idx: lookup.0, - table_x: lookup.1, - table_y: lookup.2, - }, - lookup_config: range_check, - _marker: PhantomData, - }; - - // Set up lookup argument - GeneratorTableConfig::configure(meta, config.clone()); - - let two = pallas::Base::from(2); - - // Closures for expressions that are derived multiple times - // x_r = lambda_1^2 - x_a - x_p - let x_r = |meta: &mut VirtualCells, rotation| { - let x_a = meta.query_advice(config.x_a, rotation); - let x_p = meta.query_advice(config.x_p, rotation); - let lambda_1 = meta.query_advice(config.lambda_1, rotation); - lambda_1.square() - x_a - x_p - }; - - // Y_A = (lambda_1 + lambda_2) * (x_a - x_r) - let Y_A = |meta: &mut VirtualCells, rotation| { - let x_a = meta.query_advice(config.x_a, rotation); - let lambda_1 = meta.query_advice(config.lambda_1, rotation); - let lambda_2 = meta.query_advice(config.lambda_2, rotation); - (lambda_1 + lambda_2) * (x_a - x_r(meta, rotation)) - }; - - // Check that the initial x_A, x_P, lambda_1, lambda_2 are consistent with y_Q. - meta.create_gate("Initial y_Q", |meta| { - let q_s4 = meta.query_selector(config.q_sinsemilla4); - let y_q = meta.query_fixed(config.fixed_y_q, Rotation::cur()); - - // Y_A = (lambda_1 + lambda_2) * (x_a - x_r) - let Y_A_cur = Y_A(meta, Rotation::cur()); - - // 2 * y_q - Y_{A,0} = 0 - let init_y_q_check = y_q * two - Y_A_cur; - - vec![q_s4 * init_y_q_check] - }); - - meta.create_gate("Sinsemilla gate", |meta| { - let q_s1 = meta.query_selector(config.q_sinsemilla1); - // q_s3 = (q_s2) * (q_s2 - 1) - let q_s3 = { - let one = Expression::Constant(pallas::Base::one()); - let q_s2 = meta.query_fixed(config.q_sinsemilla2, Rotation::cur()); - q_s2.clone() * (q_s2 - one) - }; - - let lambda_1_next = meta.query_advice(config.lambda_1, Rotation::next()); - let lambda_2_cur = meta.query_advice(config.lambda_2, Rotation::cur()); - let x_a_cur = meta.query_advice(config.x_a, Rotation::cur()); - let x_a_next = meta.query_advice(config.x_a, Rotation::next()); - - // x_r = lambda_1^2 - x_a_cur - x_p - let x_r = x_r(meta, Rotation::cur()); - - // Y_A = (lambda_1 + lambda_2) * (x_a - x_r) - let Y_A_cur = Y_A(meta, Rotation::cur()); - - // Y_A = (lambda_1 + lambda_2) * (x_a - x_r) - let Y_A_next = Y_A(meta, Rotation::next()); - - // lambda2^2 - (x_a_next + x_r + x_a_cur) = 0 - let secant_line = - lambda_2_cur.clone().square() - (x_a_next.clone() + x_r + x_a_cur.clone()); - - // lhs - rhs = 0, where - // - lhs = 4 * lambda_2_cur * (x_a_cur - x_a_next) - // - rhs = (2 * Y_A_cur + (2 - q_s3) * Y_A_next + 2 * q_s3 * y_a_final) - let y_check = { - // lhs = 4 * lambda_2_cur * (x_a_cur - x_a_next) - let lhs = lambda_2_cur * pallas::Base::from(4) * (x_a_cur - x_a_next); - - // rhs = 2 * Y_A_cur + (2 - q_s3) * Y_A_next + 2 * q_s3 * y_a_final - let rhs = { - // y_a_final is assigned to the lambda1 column on the next offset. - let y_a_final = lambda_1_next; - - Y_A_cur * two - + (Expression::Constant(two) - q_s3.clone()) * Y_A_next - + q_s3 * two * y_a_final - }; - lhs - rhs - }; - - vec![ - ("Secant line", q_s1.clone() * secant_line), - ("y check", q_s1 * y_check), - ] - }); - - config - } -} - -// Implement `SinsemillaInstructions` for `SinsemillaChip` -impl SinsemillaInstructions - for SinsemillaChip -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - type CellValue = AssignedCell; - - type Message = Message; - type MessagePiece = MessagePiece; - - type RunningSum = Vec; - - type X = AssignedCell; - type NonIdentityPoint = NonIdentityEccPoint; - type FixedPoints = F; - - type HashDomains = Hash; - type CommitDomains = Commit; - - fn witness_message_piece( - &self, - mut layouter: impl Layouter, - field_elem: Option, - num_words: usize, - ) -> Result { - let config = self.config().clone(); - - let cell = layouter.assign_region( - || "witness message piece", - |mut region| { - region.assign_advice( - || "witness message piece", - config.witness_pieces, - 0, - || field_elem.ok_or(Error::Synthesis), - ) - }, - )?; - Ok(MessagePiece::new(cell, num_words)) - } - - #[allow(non_snake_case)] - #[allow(clippy::type_complexity)] - fn hash_to_point( - &self, - mut layouter: impl Layouter, - Q: pallas::Affine, - message: Self::Message, - ) -> Result<(Self::NonIdentityPoint, Vec), Error> { - layouter.assign_region( - || "hash_to_point", - |mut region| self.hash_message(&mut region, Q, &message), - ) - } - - fn extract(point: &Self::NonIdentityPoint) -> Self::X { - point.x() - } -} diff --git a/src/circuit/gadget/sinsemilla/chip/generator_table.rs b/src/circuit/gadget/sinsemilla/chip/generator_table.rs deleted file mode 100644 index 1bb109f9..00000000 --- a/src/circuit/gadget/sinsemilla/chip/generator_table.rs +++ /dev/null @@ -1,104 +0,0 @@ -use crate::primitives::sinsemilla::{self, SINSEMILLA_S}; -use halo2::{ - circuit::Layouter, - plonk::{ConstraintSystem, Error, Expression, TableColumn}, - poly::Rotation, -}; - -use super::{CommitDomains, FixedPoints, HashDomains}; -use pasta_curves::{arithmetic::FieldExt, pallas}; - -/// Table containing independent generators S[0..2^k] -#[derive(Eq, PartialEq, Copy, Clone, Debug)] -pub struct GeneratorTableConfig { - pub table_idx: TableColumn, - pub table_x: TableColumn, - pub table_y: TableColumn, -} - -impl GeneratorTableConfig { - #[allow(clippy::too_many_arguments)] - #[allow(non_snake_case)] - /// Even though the lookup table can be used in other parts of the circuit, - /// this specific configuration sets up Sinsemilla-specific constraints - /// controlled by `q_sinsemilla`, and would likely not apply to other chips. - pub fn configure( - meta: &mut ConstraintSystem, - config: super::SinsemillaConfig, - ) where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, - { - let (table_idx, table_x, table_y) = ( - config.generator_table.table_idx, - config.generator_table.table_x, - config.generator_table.table_y, - ); - - meta.lookup(|meta| { - let q_s1 = meta.query_selector(config.q_sinsemilla1); - let q_s2 = meta.query_fixed(config.q_sinsemilla2, Rotation::cur()); - let q_s3 = { - let one = Expression::Constant(pallas::Base::one()); - q_s2.clone() * (q_s2.clone() - one) - }; - - // m_{i+1} = z_{i} - 2^K * (q_s2 - q_s3) * z_{i + 1} - // Note that the message words m_i's are 1-indexed while the - // running sum z_i's are 0-indexed. - let word = { - let z_cur = meta.query_advice(config.bits, Rotation::cur()); - let z_next = meta.query_advice(config.bits, Rotation::next()); - z_cur - ((q_s2 - q_s3) * z_next * pallas::Base::from(1 << sinsemilla::K)) - }; - - let x_p = meta.query_advice(config.x_p, Rotation::cur()); - - // y_{p,i} = (Y_{A,i} / 2) - lambda1 * (x_{A,i} - x_{P,i}), - // where Y_{A,i} = (lambda1_i + lambda2_i) * (x_{A,i} - x_{R,i}), - // x_{R,i} = lambda1^2 - x_{A,i} - x_{P,i} - // - let y_p = { - let lambda1 = meta.query_advice(config.lambda_1, Rotation::cur()); - let lambda2 = meta.query_advice(config.lambda_2, Rotation::cur()); - let x_a = meta.query_advice(config.x_a, Rotation::cur()); - - let x_r = lambda1.clone().square() - x_a.clone() - x_p.clone(); - let Y_A = (lambda1.clone() + lambda2) * (x_a.clone() - x_r); - - (Y_A * pallas::Base::TWO_INV) - (lambda1 * (x_a - x_p.clone())) - }; - - // Lookup expressions default to the first entry when `q_s1` - // is not enabled. - let (init_x, init_y) = SINSEMILLA_S[0]; - let not_q_s1 = Expression::Constant(pallas::Base::one()) - q_s1.clone(); - - let m = q_s1.clone() * word; // The first table index is 0. - let x_p = q_s1.clone() * x_p + not_q_s1.clone() * init_x; - let y_p = q_s1 * y_p + not_q_s1 * init_y; - - vec![(m, table_idx), (x_p, table_x), (y_p, table_y)] - }); - } - - pub fn load(&self, layouter: &mut impl Layouter) -> Result<(), Error> { - layouter.assign_table( - || "generator_table", - |mut table| { - for (index, (x, y)) in SINSEMILLA_S.iter().enumerate() { - table.assign_cell( - || "table_idx", - self.table_idx, - index, - || Ok(pallas::Base::from(index as u64)), - )?; - table.assign_cell(|| "table_x", self.table_x, index, || Ok(*x))?; - table.assign_cell(|| "table_y", self.table_y, index, || Ok(*y))?; - } - Ok(()) - }, - ) - } -} diff --git a/src/circuit/gadget/sinsemilla/chip/hash_to_point.rs b/src/circuit/gadget/sinsemilla/chip/hash_to_point.rs deleted file mode 100644 index 4fd9103b..00000000 --- a/src/circuit/gadget/sinsemilla/chip/hash_to_point.rs +++ /dev/null @@ -1,450 +0,0 @@ -use super::super::{CommitDomains, HashDomains, SinsemillaInstructions}; -use super::{NonIdentityEccPoint, SinsemillaChip}; - -use crate::circuit::gadget::ecc::FixedPoints; -use crate::primitives::sinsemilla::{self, lebs2ip_k, INV_TWO_POW_K, SINSEMILLA_S}; -use halo2::circuit::AssignedCell; -use halo2::{ - circuit::{Chip, Region}, - plonk::Error, -}; - -use group::ff::{Field, PrimeField, PrimeFieldBits}; -use pasta_curves::{ - arithmetic::{CurveAffine, FieldExt}, - pallas, -}; - -use std::ops::Deref; - -impl SinsemillaChip -where - Hash: HashDomains, - Fixed: FixedPoints, - Commit: CommitDomains, -{ - #[allow(non_snake_case)] - #[allow(clippy::type_complexity)] - pub(super) fn hash_message( - &self, - region: &mut Region<'_, pallas::Base>, - Q: pallas::Affine, - message: &>::Message, - ) -> Result< - ( - NonIdentityEccPoint, - Vec>>, - ), - Error, - > { - let config = self.config().clone(); - let mut offset = 0; - - // Get the `x`- and `y`-coordinates of the starting `Q` base. - let x_q = *Q.coordinates().unwrap().x(); - let y_q = *Q.coordinates().unwrap().y(); - - // Constrain the initial x_a, lambda_1, lambda_2, x_p using the q_sinsemilla4 - // selector. - let mut y_a: Y = { - // Enable `q_sinsemilla4` on the first row. - config.q_sinsemilla4.enable(region, offset)?; - region.assign_fixed(|| "fixed y_q", config.fixed_y_q, offset, || Ok(y_q))?; - - (Some(y_q)).into() - }; - - // Constrain the initial x_q to equal the x-coordinate of the domain's `Q`. - let mut x_a: X = { - let x_a = - region.assign_advice_from_constant(|| "fixed x_q", config.x_a, offset, x_q)?; - - x_a.into() - }; - - let mut zs_sum: Vec>> = Vec::new(); - - // Hash each piece in the message. - for (idx, piece) in message.iter().enumerate() { - let final_piece = idx == message.len() - 1; - - // The value of the accumulator after this piece is processed. - let (x, y, zs) = self.hash_piece(region, offset, piece, x_a, y_a, final_piece)?; - - // Since each message word takes one row to process, we increase - // the offset by `piece.num_words` on each iteration. - offset += piece.num_words(); - - // Update the accumulator to the latest value. - x_a = x; - y_a = y; - zs_sum.push(zs); - } - - // Assign the final y_a. - let y_a = { - // Assign the final y_a. - let y_a_cell = region.assign_advice( - || "y_a", - config.lambda_1, - offset, - || y_a.ok_or(Error::Synthesis), - )?; - - // Assign lambda_2 and x_p zero values since they are queried - // in the gate. (The actual values do not matter since they are - // multiplied by zero.) - { - region.assign_advice( - || "dummy lambda2", - config.lambda_2, - offset, - || Ok(pallas::Base::zero()), - )?; - region.assign_advice( - || "dummy x_p", - config.x_p, - offset, - || Ok(pallas::Base::zero()), - )?; - } - - y_a_cell - }; - - #[cfg(test)] - #[allow(non_snake_case)] - // Check equivalence to result from primitives::sinsemilla::hash_to_point - { - use crate::circuit::gadget::sinsemilla::message::MessagePiece; - use crate::primitives::sinsemilla::{K, S_PERSONALIZATION}; - use group::{prime::PrimeCurveAffine, Curve}; - use pasta_curves::arithmetic::CurveExt; - - let field_elems: Option> = - message.iter().map(|piece| piece.field_elem()).collect(); - - if field_elems.is_some() && x_a.value().is_some() && y_a.value().is_some() { - // Get message as a bitstring. - let bitstring: Vec = message - .iter() - .map(|piece: &MessagePiece| { - piece - .field_elem() - .unwrap() - .to_le_bits() - .into_iter() - .take(K * piece.num_words()) - .collect::>() - }) - .flatten() - .collect(); - - let hasher_S = pallas::Point::hash_to_curve(S_PERSONALIZATION); - let S = |chunk: &[bool]| hasher_S(&lebs2ip_k(chunk).to_le_bytes()); - - // We can use complete addition here because it differs from - // incomplete addition with negligible probability. - let expected_point = bitstring - .chunks(K) - .fold(Q.to_curve(), |acc, chunk| (acc + S(chunk)) + acc); - let actual_point = - pallas::Affine::from_xy(*x_a.value().unwrap(), *y_a.value().unwrap()).unwrap(); - assert_eq!(expected_point.to_affine(), actual_point); - } - } - - if let Some(x_a) = x_a.value() { - if let Some(y_a) = y_a.value() { - if x_a.is_zero_vartime() || y_a.is_zero_vartime() { - return Err(Error::Synthesis); - } - } - } - Ok(( - NonIdentityEccPoint::from_coordinates_unchecked(x_a.0, y_a), - zs_sum, - )) - } - - #[allow(clippy::type_complexity)] - /// Hashes a message piece containing `piece.length` number of `K`-bit words. - /// - /// To avoid a duplicate assignment, the accumulator x-coordinate provided - /// by the caller is not copied. This only works because `hash_piece()` is - /// an internal API. Before this call to `hash_piece()`, x_a MUST have been - /// already assigned within this region at the correct offset. - fn hash_piece( - &self, - region: &mut Region<'_, pallas::Base>, - offset: usize, - piece: &>::MessagePiece, - mut x_a: X, - mut y_a: Y, - final_piece: bool, - ) -> Result< - ( - X, - Y, - Vec>, - ), - Error, - > { - let config = self.config().clone(); - - // Selector assignments - { - // Enable `q_sinsemilla1` selector on every row. - for row in 0..piece.num_words() { - config.q_sinsemilla1.enable(region, offset + row)?; - } - - // Set `q_sinsemilla2` fixed column to 1 on every row but the last. - for row in 0..(piece.num_words() - 1) { - region.assign_fixed( - || "q_s2 = 1", - config.q_sinsemilla2, - offset + row, - || Ok(pallas::Base::one()), - )?; - } - - // Set `q_sinsemilla2` fixed column to 0 on the last row if this is - // not the final piece, or to 2 on the last row of the final piece. - region.assign_fixed( - || { - if final_piece { - "q_s2 for final piece" - } else { - "q_s2 between pieces" - } - }, - config.q_sinsemilla2, - offset + piece.num_words() - 1, - || { - Ok(if final_piece { - pallas::Base::from(2) - } else { - pallas::Base::zero() - }) - }, - )?; - } - - // Message piece as K * piece.length bitstring - let bitstring: Option> = piece.field_elem().map(|value| { - value - .to_le_bits() - .into_iter() - .take(sinsemilla::K * piece.num_words()) - .collect() - }); - - let words: Option> = bitstring.map(|bitstring| { - bitstring - .chunks_exact(sinsemilla::K) - .map(|word| lebs2ip_k(word)) - .collect() - }); - - // Get (x_p, y_p) for each word. - let generators: Option> = words.clone().map(|words| { - words - .iter() - .map(|word| SINSEMILLA_S[*word as usize]) - .collect() - }); - - // Convert `words` from `Option>` to `Vec>` - let words: Vec> = if let Some(words) = words { - words.into_iter().map(Some).collect() - } else { - vec![None; piece.num_words()] - }; - - // Decompose message piece into `K`-bit pieces with a running sum `z`. - let zs = { - let mut zs = Vec::with_capacity(piece.num_words() + 1); - - // Copy message and initialize running sum `z` to decompose message in-circuit - let initial_z = piece.cell_value().copy_advice( - || "z_0 (copy of message piece)", - region, - config.bits, - offset, - )?; - zs.push(initial_z); - - // Assign cumulative sum such that for 0 <= i < n, - // z_i = 2^K * z_{i + 1} + m_{i + 1} - // => z_{i + 1} = (z_i - m_{i + 1}) / 2^K - // - // For a message piece m = m_1 + 2^K m_2 + ... + 2^{K(n-1)} m_n}, initialize z_0 = m. - // We end up with z_n = 0. (z_n is not directly encoded as a cell value; - // it is implicitly taken as 0 by adjusting the definition of m_{i+1}.) - let mut z = piece.field_elem(); - let inv_2_k = pallas::Base::from_repr(INV_TWO_POW_K).unwrap(); - - // We do not assign the final z_n as it is constrained to be zero. - for (idx, word) in words[0..(words.len() - 1)].iter().enumerate() { - // z_{i + 1} = (z_i - m_{i + 1}) / 2^K - z = z - .zip(*word) - .map(|(z, word)| (z - pallas::Base::from(word as u64)) * inv_2_k); - let cell = region.assign_advice( - || format!("z_{:?}", idx + 1), - config.bits, - offset + idx + 1, - || z.ok_or(Error::Synthesis), - )?; - zs.push(cell) - } - - zs - }; - - // The accumulator x-coordinate provided by the caller MUST have been assigned - // within this region. - - let generators: Vec> = - if let Some(generators) = generators { - generators.into_iter().map(Some).collect() - } else { - vec![None; piece.num_words()] - }; - - for (row, gen) in generators.iter().enumerate() { - let x_p = gen.map(|gen| gen.0); - let y_p = gen.map(|gen| gen.1); - - // Assign `x_p` - region.assign_advice( - || "x_p", - config.x_p, - offset + row, - || x_p.ok_or(Error::Synthesis), - )?; - - // Compute and assign `lambda_1` - let lambda_1 = { - let lambda_1 = x_a - .value() - .zip(y_a.0) - .zip(x_p) - .zip(y_p) - .map(|(((x_a, y_a), x_p), y_p)| (y_a - y_p) * (x_a - x_p).invert().unwrap()); - - // Assign lambda_1 - region.assign_advice( - || "lambda_1", - config.lambda_1, - offset + row, - || lambda_1.ok_or(Error::Synthesis), - )?; - - lambda_1 - }; - - // Compute `x_r` - let x_r = lambda_1 - .zip(x_a.value()) - .zip(x_p) - .map(|((lambda_1, x_a), x_p)| lambda_1.square() - x_a - x_p); - - // Compute and assign `lambda_2` - let lambda_2 = { - let lambda_2 = x_a.value().zip(y_a.0).zip(x_r).zip(lambda_1).map( - |(((x_a, y_a), x_r), lambda_1)| { - pallas::Base::from(2) * y_a * (x_a - x_r).invert().unwrap() - lambda_1 - }, - ); - - region.assign_advice( - || "lambda_2", - config.lambda_2, - offset + row, - || lambda_2.ok_or(Error::Synthesis), - )?; - - lambda_2 - }; - - // Compute and assign `x_a` for the next row. - let x_a_new: X = { - let x_a_new = lambda_2 - .zip(x_a.value()) - .zip(x_r) - .map(|((lambda_2, x_a), x_r)| lambda_2.square() - x_a - x_r); - - let x_a_cell = region.assign_advice( - || "x_a", - config.x_a, - offset + row + 1, - || x_a_new.ok_or(Error::Synthesis), - )?; - - x_a_cell.into() - }; - - // Compute y_a for the next row. - let y_a_new: Y = lambda_2 - .zip(x_a.value()) - .zip(x_a_new.value()) - .zip(y_a.0) - .map(|(((lambda_2, x_a), x_a_new), y_a)| lambda_2 * (x_a - x_a_new) - y_a) - .into(); - - // Update the mutable `x_a`, `y_a` variables. - x_a = x_a_new; - y_a = y_a_new; - } - - Ok((x_a, y_a, zs)) - } -} - -/// The x-coordinate of the accumulator in a Sinsemilla hash instance. -struct X(AssignedCell); - -impl From> for X { - fn from(cell_value: AssignedCell) -> Self { - X(cell_value) - } -} - -impl Deref for X { - type Target = AssignedCell; - - fn deref(&self) -> &AssignedCell { - &self.0 - } -} - -/// The y-coordinate of the accumulator in a Sinsemilla hash instance. -/// -/// This is never actually witnessed until the last round, since it -/// can be derived from other variables. Thus it only exists as a field -/// element, not a `CellValue`. -struct Y(Option); - -impl From> for Y { - fn from(value: Option) -> Self { - Y(value) - } -} - -impl Deref for Y { - type Target = Option; - - fn deref(&self) -> &Option { - &self.0 - } -} diff --git a/src/circuit/gadget/sinsemilla/merkle.rs b/src/circuit/gadget/sinsemilla/merkle.rs deleted file mode 100644 index 6f7920ab..00000000 --- a/src/circuit/gadget/sinsemilla/merkle.rs +++ /dev/null @@ -1,324 +0,0 @@ -use halo2::{ - circuit::{Chip, Layouter}, - plonk::Error, -}; -use pasta_curves::arithmetic::CurveAffine; - -use super::{HashDomains, SinsemillaInstructions}; - -use crate::circuit::gadget::utilities::{ - cond_swap::CondSwapInstructions, i2lebsp, transpose_option_array, UtilitiesInstructions, -}; -use std::iter; - -pub(in crate::circuit) mod chip; - -/// SWU hash-to-curve personalization for the Merkle CRH generator -pub const MERKLE_CRH_PERSONALIZATION: &str = "z.cash:Orchard-MerkleCRH"; - -/// Instructions to check the validity of a Merkle path of a given `PATH_LENGTH`. -/// The hash function used is a Sinsemilla instance with `K`-bit words. -/// The hash function can process `MAX_WORDS` words. -pub trait MerkleInstructions< - C: CurveAffine, - const PATH_LENGTH: usize, - const K: usize, - const MAX_WORDS: usize, ->: - SinsemillaInstructions - + CondSwapInstructions - + UtilitiesInstructions - + Chip -{ - /// Compute MerkleCRH for a given `layer`. The hash that computes the root - /// is at layer 0, and the hashes that are applied to two leaves are at - /// layer `MERKLE_DEPTH - 1` = layer 31. - #[allow(non_snake_case)] - fn hash_layer( - &self, - layouter: impl Layouter, - Q: C, - l: usize, - left: Self::Var, - right: Self::Var, - ) -> Result; -} - -#[derive(Clone, Debug)] -pub struct MerklePath< - C: CurveAffine, - MerkleChip, - const PATH_LENGTH: usize, - const K: usize, - const MAX_WORDS: usize, -> where - MerkleChip: MerkleInstructions + Clone, -{ - pub(in crate::circuit) chip_1: MerkleChip, - pub(in crate::circuit) chip_2: MerkleChip, - pub(in crate::circuit) domain: MerkleChip::HashDomains, - pub(in crate::circuit) leaf_pos: Option, - // The Merkle path is ordered from leaves to root. - pub(in crate::circuit) path: Option<[C::Base; PATH_LENGTH]>, -} - -#[allow(non_snake_case)] -impl< - C: CurveAffine, - MerkleChip, - const PATH_LENGTH: usize, - const K: usize, - const MAX_WORDS: usize, - > MerklePath -where - MerkleChip: MerkleInstructions + Clone, -{ - /// Calculates the root of the tree containing the given leaf at this Merkle path. - pub(in crate::circuit) fn calculate_root( - &self, - mut layouter: impl Layouter, - leaf: MerkleChip::Var, - ) -> Result { - // A Sinsemilla chip uses 5 advice columns, but the full Orchard action circuit - // uses 10 advice columns. We distribute the path hashing across two Sinsemilla - // chips to make better use of the available circuit area. - let chips = iter::empty() - .chain(iter::repeat(self.chip_1.clone()).take(PATH_LENGTH / 2)) - .chain(iter::repeat(self.chip_2.clone())); - - // The Merkle path is ordered from leaves to root, which is consistent with the - // little-endian representation of `pos` below. - let path = transpose_option_array(self.path); - - // Get position as a PATH_LENGTH-bit bitstring (little-endian bit order). - let pos: [Option; PATH_LENGTH] = { - let pos: Option<[bool; PATH_LENGTH]> = self.leaf_pos.map(|pos| i2lebsp(pos as u64)); - transpose_option_array(pos) - }; - - let Q = self.domain.Q(); - - let mut node = leaf; - for (l, ((sibling, pos), chip)) in path.iter().zip(pos.iter()).zip(chips).enumerate() { - // `l` = MERKLE_DEPTH - layer - 1, which is the index obtained from - // enumerating this Merkle path (going from leaf to root). - // For example, when `layer = 31` (the first sibling on the Merkle path), - // we have `l` = 32 - 31 - 1 = 0. - // On the other hand, when `layer = 0` (the final sibling on the Merkle path), - // we have `l` = 32 - 0 - 1 = 31. - let pair = { - let pair = (node, *sibling); - - // Swap node and sibling if needed - chip.swap(layouter.namespace(|| "node position"), pair, *pos)? - }; - - // Each `hash_layer` consists of 52 Sinsemilla words: - // - l (10 bits) = 1 word - // - left (255 bits) || right (255 bits) = 51 words (510 bits) - node = chip.hash_layer( - layouter.namespace(|| format!("hash l {}", l)), - Q, - l, - pair.0, - pair.1, - )?; - } - - Ok(node) - } -} - -#[cfg(test)] -pub mod tests { - use super::{ - chip::{MerkleChip, MerkleConfig}, - MerklePath, - }; - - use crate::{ - circuit::gadget::{ - sinsemilla::chip::SinsemillaChip, - utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, - }, - constants::{OrchardCommitDomains, OrchardFixedBases, OrchardHashDomains}, - note::commitment::ExtractedNoteCommitment, - tree, - }; - - use group::ff::{Field, PrimeField}; - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::MockProver, - pasta::pallas, - plonk::{Circuit, ConstraintSystem, Error}, - }; - - use rand::{rngs::OsRng, RngCore}; - use std::convert::TryInto; - - const MERKLE_DEPTH: usize = 32; - - #[derive(Default)] - struct MyCircuit { - leaf: Option, - leaf_pos: Option, - merkle_path: Option<[pallas::Base; MERKLE_DEPTH]>, - } - - impl Circuit for MyCircuit { - type Config = ( - MerkleConfig, - MerkleConfig, - ); - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - Self::default() - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let advices = [ - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - ]; - - // Shared fixed column for loading constants - let constants = meta.fixed_column(); - meta.enable_constant(constants); - - // NB: In the actual Action circuit, these fixed columns will be reused - // by other chips. For this test, we are creating new fixed columns. - let fixed_y_q_1 = meta.fixed_column(); - let fixed_y_q_2 = meta.fixed_column(); - - // Fixed columns for the Sinsemilla generator lookup table - let lookup = ( - meta.lookup_table_column(), - meta.lookup_table_column(), - meta.lookup_table_column(), - ); - - let range_check = LookupRangeCheckConfig::configure(meta, advices[9], lookup.0); - - let sinsemilla_config_1 = SinsemillaChip::configure( - meta, - advices[5..].try_into().unwrap(), - advices[7], - fixed_y_q_1, - lookup, - range_check, - ); - let config1 = MerkleChip::configure(meta, sinsemilla_config_1); - - let sinsemilla_config_2 = SinsemillaChip::configure( - meta, - advices[..5].try_into().unwrap(), - advices[2], - fixed_y_q_2, - lookup, - range_check, - ); - let config2 = MerkleChip::configure(meta, sinsemilla_config_2); - - (config1, config2) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - // Load generator table (shared across both configs) - SinsemillaChip::::load( - config.0.sinsemilla_config.clone(), - &mut layouter, - )?; - - // Construct Merkle chips which will be placed side-by-side in the circuit. - let chip_1 = MerkleChip::construct(config.0.clone()); - let chip_2 = MerkleChip::construct(config.1.clone()); - - let leaf = chip_1.load_private( - layouter.namespace(|| ""), - config.0.cond_swap_config.a, - self.leaf, - )?; - - let path = MerklePath { - chip_1, - chip_2, - domain: OrchardHashDomains::MerkleCrh, - leaf_pos: self.leaf_pos, - path: self.merkle_path, - }; - - let computed_final_root = - path.calculate_root(layouter.namespace(|| "calculate root"), leaf)?; - - if let Some(leaf_pos) = self.leaf_pos { - // The expected final root - let final_root = { - let path = tree::MerklePath::new(leaf_pos, self.merkle_path.unwrap()); - let leaf = - ExtractedNoteCommitment::from_bytes(&self.leaf.unwrap().to_repr()).unwrap(); - path.root(leaf) - }; - - // Check the computed final root against the expected final root. - assert_eq!(computed_final_root.value().unwrap(), &final_root.inner()); - } - - Ok(()) - } - } - - #[test] - fn merkle_chip() { - let mut rng = OsRng; - - // Choose a random leaf and position - let leaf = pallas::Base::random(rng); - let pos = rng.next_u32(); - - // Choose a path of random inner nodes - let path: Vec<_> = (0..(MERKLE_DEPTH)) - .map(|_| pallas::Base::random(rng)) - .collect(); - - // The root is provided as a public input in the Orchard circuit. - - let circuit = MyCircuit { - leaf: Some(leaf), - leaf_pos: Some(pos), - merkle_path: Some(path.try_into().unwrap()), - }; - - let prover = MockProver::run(11, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())) - } - - #[cfg(feature = "dev-graph")] - #[test] - fn print_merkle_chip() { - use plotters::prelude::*; - - let root = BitMapBackend::new("merkle-path-layout.png", (1024, 7680)).into_drawing_area(); - root.fill(&WHITE).unwrap(); - let root = root.titled("MerkleCRH Path", ("sans-serif", 60)).unwrap(); - - let circuit = MyCircuit::default(); - halo2::dev::CircuitLayout::default() - .show_labels(false) - .render(11, &circuit, &root) - .unwrap(); - } -} diff --git a/src/circuit/gadget/sinsemilla/merkle/chip.rs b/src/circuit/gadget/sinsemilla/merkle/chip.rs deleted file mode 100644 index b1679b90..00000000 --- a/src/circuit/gadget/sinsemilla/merkle/chip.rs +++ /dev/null @@ -1,493 +0,0 @@ -use halo2::{ - circuit::{AssignedCell, Chip, Layouter}, - plonk::{Advice, Column, ConstraintSystem, Error, Selector}, - poly::Rotation, -}; -use pasta_curves::{arithmetic::FieldExt, pallas}; - -use super::MerkleInstructions; - -use crate::{ - circuit::gadget::{ - ecc::FixedPoints, - sinsemilla::{ - chip::{SinsemillaChip, SinsemillaConfig}, - CommitDomains, HashDomains, SinsemillaInstructions, - }, - utilities::{ - bitrange_subset, - cond_swap::{CondSwapChip, CondSwapConfig, CondSwapInstructions}, - UtilitiesInstructions, - }, - }, - primitives::sinsemilla, -}; -use group::ff::PrimeField; -use std::array; - -#[derive(Clone, Debug)] -pub struct MerkleConfig -where - Hash: HashDomains, - Fixed: FixedPoints, - Commit: CommitDomains, -{ - advices: [Column; 5], - q_decompose: Selector, - pub(super) cond_swap_config: CondSwapConfig, - pub(super) sinsemilla_config: SinsemillaConfig, -} - -#[derive(Clone, Debug)] -pub struct MerkleChip -where - Hash: HashDomains, - Fixed: FixedPoints, - Commit: CommitDomains, -{ - config: MerkleConfig, -} - -impl Chip for MerkleChip -where - Hash: HashDomains, - Fixed: FixedPoints, - Commit: CommitDomains, -{ - type Config = MerkleConfig; - type Loaded = (); - - fn config(&self) -> &Self::Config { - &self.config - } - - fn loaded(&self) -> &Self::Loaded { - &() - } -} - -impl MerkleChip -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - pub fn configure( - meta: &mut ConstraintSystem, - sinsemilla_config: SinsemillaConfig, - ) -> MerkleConfig { - // All five advice columns are equality-enabled by SinsemillaConfig. - let advices = sinsemilla_config.advices(); - let cond_swap_config = CondSwapChip::configure(meta, advices); - - // This selector enables the decomposition gate. - let q_decompose = meta.selector(); - - // Check that pieces have been decomposed correctly for Sinsemilla hash. - // - // - // a = a_0||a_1 = l || (bits 0..=239 of left) - // b = b_0||b_1||b_2 - // = (bits 240..=249 of left) || (bits 250..=254 of left) || (bits 0..=4 of right) - // c = bits 5..=254 of right - // - // The message pieces `a`, `b`, `c` are constrained by Sinsemilla to be - // 250 bits, 20 bits, and 250 bits respectively. - // - /* - The pieces and subpieces are arranged in the following configuration: - | A_0 | A_1 | A_2 | A_3 | A_4 | q_decompose | - ------------------------------------------------------- - | a | b | c | left | right | 1 | - | z1_a | z1_b | b_1 | b_2 | l | | - */ - meta.create_gate("Decomposition check", |meta| { - let q_decompose = meta.query_selector(q_decompose); - let l_whole = meta.query_advice(advices[4], Rotation::next()); - - let two_pow_5 = pallas::Base::from(1 << 5); - let two_pow_10 = two_pow_5.square(); - - // a_whole is constrained by Sinsemilla to be 250 bits. - let a_whole = meta.query_advice(advices[0], Rotation::cur()); - // b_whole is constrained by Sinsemilla to be 20 bits. - let b_whole = meta.query_advice(advices[1], Rotation::cur()); - // c_whole is constrained by Sinsemilla to be 250 bits. - let c_whole = meta.query_advice(advices[2], Rotation::cur()); - let left_node = meta.query_advice(advices[3], Rotation::cur()); - let right_node = meta.query_advice(advices[4], Rotation::cur()); - - // a = a_0||a_1 = l || (bits 0..=239 of left) - // Check that a_0 = l - // - // z_1 of SinsemillaHash(a) = a_1 - let z1_a = meta.query_advice(advices[0], Rotation::next()); - let a_1 = z1_a; - // a_0 = a - (a_1 * 2^10) - let a_0 = a_whole - a_1.clone() * pallas::Base::from(1 << 10); - let l_check = a_0 - l_whole; - - // b = b_0||b_1||b_2 - // = (bits 240..=249 of left) || (bits 250..=254 of left) || (bits 0..=4 of right) - // The Orchard specification allows this representation to be non-canonical. - // - // - // z_1 of SinsemillaHash(b) = b_1 + 2^5 b_2 - // => b_0 = b - (z1_b * 2^10) - let z1_b = meta.query_advice(advices[1], Rotation::next()); - // b_1 has been constrained to be 5 bits outside this gate. - let b_1 = meta.query_advice(advices[2], Rotation::next()); - // b_2 has been constrained to be 5 bits outside this gate. - let b_2 = meta.query_advice(advices[3], Rotation::next()); - // Constrain b_1 + 2^5 b_2 = z1_b - let b1_b2_check = z1_b.clone() - (b_1.clone() + b_2.clone() * two_pow_5); - // Derive b_0 (constrained by SinsemillaHash to be 10 bits) - let b_0 = b_whole - (z1_b * two_pow_10); - - // Check that left = a_1 (240 bits) || b_0 (10 bits) || b_1 (5 bits) - let left_check = { - let reconstructed = { - let two_pow_240 = pallas::Base::from_u128(1 << 120).square(); - a_1 + (b_0 + b_1 * two_pow_10) * two_pow_240 - }; - reconstructed - left_node - }; - - // Check that right = b_2 (5 bits) || c (250 bits) - // The Orchard specification allows this representation to be non-canonical. - // - let right_check = b_2 + c_whole * two_pow_5 - right_node; - - array::IntoIter::new([ - ("l_check", l_check), - ("left_check", left_check), - ("right_check", right_check), - ("b1_b2_check", b1_b2_check), - ]) - .map(move |(name, poly)| (name, q_decompose.clone() * poly)) - }); - - MerkleConfig { - advices, - q_decompose, - cond_swap_config, - sinsemilla_config, - } - } - - pub fn construct(config: MerkleConfig) -> Self { - MerkleChip { config } - } -} - -impl - MerkleInstructions - for MerkleChip -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - #[allow(non_snake_case)] - fn hash_layer( - &self, - mut layouter: impl Layouter, - Q: pallas::Affine, - // l = MERKLE_DEPTH - layer - 1 - l: usize, - left: Self::Var, - right: Self::Var, - ) -> Result { - let config = self.config().clone(); - - // - // We need to hash `l || left || right`, where `l` is a 10-bit value. - // We allow `left` and `right` to be non-canonical 255-bit encodings. - // - // a = a_0||a_1 = l || (bits 0..=239 of left) - // b = b_0||b_1||b_2 - // = (bits 240..=249 of left) || (bits 250..=254 of left) || (bits 0..=4 of right) - // c = bits 5..=254 of right - - // `a = a_0||a_1` = `l` || (bits 0..=239 of `left`) - let a = { - let a = { - // a_0 = l - let a_0 = bitrange_subset(&pallas::Base::from(l as u64), 0..10); - - // a_1 = (bits 0..=239 of `left`) - let a_1 = left.value().map(|value| bitrange_subset(value, 0..240)); - - a_1.map(|a_1| a_0 + a_1 * pallas::Base::from(1 << 10)) - }; - - self.witness_message_piece(layouter.namespace(|| "Witness a = a_0 || a_1"), a, 25)? - }; - - // b = b_0 || b_1 || b_2 - // = (bits 240..=249 of left) || (bits 250..=254 of left) || (bits 0..=4 of right) - let (b_1, b_2, b) = { - // b_0 = (bits 240..=249 of `left`) - let b_0 = left.value().map(|value| bitrange_subset(value, 240..250)); - - // b_1 = (bits 250..=254 of `left`) - // Constrain b_1 to 5 bits. - let b_1 = { - let b_1 = left - .value() - .map(|value| bitrange_subset(value, 250..(pallas::Base::NUM_BITS as usize))); - - config - .sinsemilla_config - .lookup_config() - .witness_short_check(layouter.namespace(|| "Constrain b_1 to 5 bits"), b_1, 5)? - }; - - // b_2 = (bits 0..=4 of `right`) - // Constrain b_2 to 5 bits. - let b_2 = { - let b_2 = right.value().map(|value| bitrange_subset(value, 0..5)); - - config - .sinsemilla_config - .lookup_config() - .witness_short_check(layouter.namespace(|| "Constrain b_2 to 5 bits"), b_2, 5)? - }; - - let b = { - let b = b_0 - .zip(b_1.value()) - .zip(b_2.value()) - .map(|((b_0, b_1), b_2)| { - b_0 + b_1 * pallas::Base::from(1 << 10) + b_2 * pallas::Base::from(1 << 15) - }); - self.witness_message_piece( - layouter.namespace(|| "Witness b = b_0 || b_1 || b_2"), - b, - 2, - )? - }; - - (b_1, b_2, b) - }; - - let c = { - // `c = bits 5..=254 of `right` - let c = right - .value() - .map(|value| bitrange_subset(value, 5..(pallas::Base::NUM_BITS as usize))); - self.witness_message_piece(layouter.namespace(|| "Witness c"), c, 25)? - }; - - let (point, zs) = self.hash_to_point( - layouter.namespace(|| format!("hash at l = {}", l)), - Q, - vec![a.clone(), b.clone(), c.clone()].into(), - )?; - let z1_a = zs[0][1].clone(); - let z1_b = zs[1][1].clone(); - - // Check that the pieces have been decomposed properly. - /* - The pieces and subpieces are arranged in the following configuration: - | A_0 | A_1 | A_2 | A_3 | A_4 | q_decompose | - ------------------------------------------------------- - | a | b | c | left | right | 1 | - | z1_a | z1_b | b_1 | b_2 | l | | - */ - { - layouter.assign_region( - || "Check piece decomposition", - |mut region| { - // Set the fixed column `l` to the current l. - // Recall that l = MERKLE_DEPTH - layer - 1. - // The layer with 2^n nodes is called "layer n". - config.q_decompose.enable(&mut region, 0)?; - region.assign_advice_from_constant( - || format!("l {}", l), - config.advices[4], - 1, - pallas::Base::from(l as u64), - )?; - - // Offset 0 - // Copy and assign `a` at the correct position. - a.cell_value() - .copy_advice(|| "copy a", &mut region, config.advices[0], 0)?; - // Copy and assign `b` at the correct position. - b.cell_value() - .copy_advice(|| "copy b", &mut region, config.advices[1], 0)?; - // Copy and assign `c` at the correct position. - c.cell_value() - .copy_advice(|| "copy c", &mut region, config.advices[2], 0)?; - // Copy and assign the left node at the correct position. - left.copy_advice(|| "left", &mut region, config.advices[3], 0)?; - // Copy and assign the right node at the correct position. - right.copy_advice(|| "right", &mut region, config.advices[4], 0)?; - - // Offset 1 - // Copy and assign z_1 of SinsemillaHash(a) = a_1 - z1_a.copy_advice(|| "z1_a", &mut region, config.advices[0], 1)?; - // Copy and assign z_1 of SinsemillaHash(b) = b_1 - z1_b.copy_advice(|| "z1_b", &mut region, config.advices[1], 1)?; - // Copy `b_1`, which has been constrained to be a 5-bit value - b_1.copy_advice(|| "b_1", &mut region, config.advices[2], 1)?; - // Copy `b_2`, which has been constrained to be a 5-bit value - b_2.copy_advice(|| "b_2", &mut region, config.advices[3], 1)?; - - Ok(()) - }, - )?; - } - - let result = Self::extract(&point); - - // Check layer hash output against Sinsemilla primitives hash - #[cfg(test)] - { - use super::MERKLE_CRH_PERSONALIZATION; - use crate::{primitives::sinsemilla::HashDomain, spec::i2lebsp}; - use group::ff::PrimeFieldBits; - - if let (Some(left), Some(right)) = (left.value(), right.value()) { - let l = i2lebsp::<10>(l as u64); - let left: Vec<_> = left - .to_le_bits() - .iter() - .by_val() - .take(pallas::Base::NUM_BITS as usize) - .collect(); - let right: Vec<_> = right - .to_le_bits() - .iter() - .by_val() - .take(pallas::Base::NUM_BITS as usize) - .collect(); - let merkle_crh = HashDomain::new(MERKLE_CRH_PERSONALIZATION); - - let mut message = l.to_vec(); - message.extend_from_slice(&left); - message.extend_from_slice(&right); - - let expected = merkle_crh.hash(message.into_iter()).unwrap(); - - assert_eq!(expected.to_repr(), result.value().unwrap().to_repr()); - } - } - - Ok(result) - } -} - -impl UtilitiesInstructions for MerkleChip -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - type Var = AssignedCell; -} - -impl CondSwapInstructions for MerkleChip -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - #[allow(clippy::type_complexity)] - fn swap( - &self, - layouter: impl Layouter, - pair: (Self::Var, Option), - swap: Option, - ) -> Result<(Self::Var, Self::Var), Error> { - let config = self.config().cond_swap_config.clone(); - let chip = CondSwapChip::::construct(config); - chip.swap(layouter, pair, swap) - } -} - -impl SinsemillaInstructions - for MerkleChip -where - Hash: HashDomains, - F: FixedPoints, - Commit: CommitDomains, -{ - type CellValue = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::CellValue; - - type Message = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::Message; - type MessagePiece = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::MessagePiece; - type RunningSum = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::RunningSum; - - type X = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::X; - type NonIdentityPoint = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::NonIdentityPoint; - type FixedPoints = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::FixedPoints; - - type HashDomains = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::HashDomains; - type CommitDomains = as SinsemillaInstructions< - pallas::Affine, - { sinsemilla::K }, - { sinsemilla::C }, - >>::CommitDomains; - - fn witness_message_piece( - &self, - layouter: impl Layouter, - value: Option, - num_words: usize, - ) -> Result { - let config = self.config().sinsemilla_config.clone(); - let chip = SinsemillaChip::::construct(config); - chip.witness_message_piece(layouter, value, num_words) - } - - #[allow(non_snake_case)] - #[allow(clippy::type_complexity)] - fn hash_to_point( - &self, - layouter: impl Layouter, - Q: pallas::Affine, - message: Self::Message, - ) -> Result<(Self::NonIdentityPoint, Vec>), Error> { - let config = self.config().sinsemilla_config.clone(); - let chip = SinsemillaChip::::construct(config); - chip.hash_to_point(layouter, Q, message) - } - - fn extract(point: &Self::NonIdentityPoint) -> Self::X { - SinsemillaChip::::extract(point) - } -} diff --git a/src/circuit/gadget/sinsemilla/message.rs b/src/circuit/gadget/sinsemilla/message.rs deleted file mode 100644 index 2581453a..00000000 --- a/src/circuit/gadget/sinsemilla/message.rs +++ /dev/null @@ -1,68 +0,0 @@ -//! Gadget and chips for the Sinsemilla hash function. -use ff::PrimeFieldBits; -use halo2::{ - arithmetic::FieldExt, - circuit::{AssignedCell, Cell}, -}; -use std::fmt::Debug; - -/// A [`Message`] composed of several [`MessagePiece`]s. -#[derive(Clone, Debug)] -pub struct Message(Vec>); - -impl - From>> for Message -{ - fn from(pieces: Vec>) -> Self { - // A message cannot contain more than `MAX_WORDS` words. - assert!(pieces.iter().map(|piece| piece.num_words()).sum::() < MAX_WORDS); - Message(pieces) - } -} - -impl std::ops::Deref - for Message -{ - type Target = [MessagePiece]; - - fn deref(&self) -> &[MessagePiece] { - &self.0 - } -} - -/// A [`MessagePiece`] of some bitlength. -/// -/// The piece must fit within a base field element, which means its length -/// cannot exceed the base field's `NUM_BITS`. -#[derive(Clone, Debug)] -pub struct MessagePiece { - cell_value: AssignedCell, - /// The number of K-bit words in this message piece. - num_words: usize, -} - -impl MessagePiece { - pub fn new(cell_value: AssignedCell, num_words: usize) -> Self { - assert!(num_words * K < F::NUM_BITS as usize); - Self { - cell_value, - num_words, - } - } - - pub fn num_words(&self) -> usize { - self.num_words - } - - pub fn cell(&self) -> Cell { - self.cell_value.cell() - } - - pub fn field_elem(&self) -> Option { - self.cell_value.value().cloned() - } - - pub fn cell_value(&self) -> AssignedCell { - self.cell_value.clone() - } -} diff --git a/src/circuit/gadget/utilities.rs b/src/circuit/gadget/utilities.rs deleted file mode 100644 index 8973a74f..00000000 --- a/src/circuit/gadget/utilities.rs +++ /dev/null @@ -1,432 +0,0 @@ -//! Utility gadgets. - -use ff::PrimeFieldBits; -use halo2::{ - circuit::{AssignedCell, Cell, Layouter}, - plonk::{Advice, Column, Error, Expression}, -}; -use pasta_curves::arithmetic::FieldExt; -use std::{array, ops::Range}; - -pub(crate) mod cond_swap; -pub(crate) mod decompose_running_sum; -pub(crate) mod lookup_range_check; - -/// Trait for a variable in the circuit. -pub trait Var: Clone + std::fmt::Debug + From> { - /// The cell at which this variable was allocated. - fn cell(&self) -> Cell; - - /// The value allocated to this variable. - fn value(&self) -> Option; -} - -impl Var for AssignedCell { - fn cell(&self) -> Cell { - self.cell() - } - - fn value(&self) -> Option { - self.value().cloned() - } -} - -/// Trait for utilities used across circuits. -pub trait UtilitiesInstructions { - /// Variable in the circuit. - type Var: Var; - - /// Load a variable. - fn load_private( - &self, - mut layouter: impl Layouter, - column: Column, - value: Option, - ) -> Result { - layouter.assign_region( - || "load private", - |mut region| { - region - .assign_advice( - || "load private", - column, - 0, - || value.ok_or(Error::Synthesis), - ) - .map(Self::Var::from) - }, - ) - } -} - -pub(crate) fn transpose_option_array( - option_array: Option<[T; LEN]>, -) -> [Option; LEN] { - let mut ret = [None; LEN]; - if let Some(arr) = option_array { - for (entry, value) in ret.iter_mut().zip(array::IntoIter::new(arr)) { - *entry = Some(value); - } - } - ret -} - -/// Checks that an expresssion is either 1 or 0. -pub fn bool_check(value: Expression) -> Expression { - range_check(value, 2) -} - -/// If `a` then `b`, else `c`. Returns (a * b) + (1 - a) * c. -/// -/// `a` must be a boolean-constrained expression. -pub fn ternary(a: Expression, b: Expression, c: Expression) -> Expression { - let one_minus_a = Expression::Constant(F::one()) - a.clone(); - a * b + one_minus_a * c -} - -/// Takes a specified subsequence of the little-endian bit representation of a field element. -/// The bits are numbered from 0 for the LSB. -pub fn bitrange_subset(field_elem: &F, bitrange: Range) -> F { - // We can allow a subsequence of length NUM_BITS, because - // field_elem.to_le_bits() returns canonical bitstrings. - assert!(bitrange.end <= F::NUM_BITS as usize); - - field_elem - .to_le_bits() - .iter() - .by_val() - .skip(bitrange.start) - .take(bitrange.end - bitrange.start) - .rev() - .fold(F::zero(), |acc, bit| { - if bit { - acc.double() + F::one() - } else { - acc.double() - } - }) -} - -/// Check that an expression is in the small range [0..range), -/// i.e. 0 ≤ word < range. -pub fn range_check(word: Expression, range: usize) -> Expression { - (1..range).fold(word.clone(), |acc, i| { - acc * (Expression::Constant(F::from(i as u64)) - word.clone()) - }) -} - -/// Decompose a word `alpha` into `window_num_bits` bits (little-endian) -/// For a window size of `w`, this returns [k_0, ..., k_n] where each `k_i` -/// is a `w`-bit value, and `scalar = k_0 + k_1 * w + k_n * w^n`. -/// -/// # Panics -/// -/// We are returning a `Vec` which means the window size is limited to -/// <= 8 bits. -pub fn decompose_word( - word: &F, - word_num_bits: usize, - window_num_bits: usize, -) -> Vec { - assert!(window_num_bits <= 8); - - // Pad bits to multiple of window_num_bits - let padding = (window_num_bits - (word_num_bits % window_num_bits)) % window_num_bits; - let bits: Vec = word - .to_le_bits() - .into_iter() - .take(word_num_bits) - .chain(std::iter::repeat(false).take(padding)) - .collect(); - assert_eq!(bits.len(), word_num_bits + padding); - - bits.chunks_exact(window_num_bits) - .map(|chunk| chunk.iter().rev().fold(0, |acc, b| (acc << 1) + (*b as u8))) - .collect() -} - -/// The u64 integer represented by an L-bit little-endian bitstring. -/// -/// # Panics -/// -/// Panics if the bitstring is longer than 64 bits. -pub fn lebs2ip(bits: &[bool; L]) -> u64 { - assert!(L <= 64); - bits.iter() - .enumerate() - .fold(0u64, |acc, (i, b)| acc + if *b { 1 << i } else { 0 }) -} - -/// The sequence of bits representing a u64 in little-endian order. -/// -/// # Panics -/// -/// Panics if the expected length of the sequence `NUM_BITS` exceeds -/// 64. -pub fn i2lebsp(int: u64) -> [bool; NUM_BITS] { - /// Takes in an FnMut closure and returns a constant-length array with elements of - /// type `Output`. - fn gen_const_array( - mut closure: impl FnMut(usize) -> Output, - ) -> [Output; LEN] { - let mut ret: [Output; LEN] = [Default::default(); LEN]; - for (bit, val) in ret.iter_mut().zip((0..LEN).map(|idx| closure(idx))) { - *bit = val; - } - ret - } - assert!(NUM_BITS <= 64); - gen_const_array(|mask: usize| (int & (1 << mask)) != 0) -} - -#[cfg(test)] -mod tests { - use super::*; - use bigint::U256; - use group::ff::{Field, PrimeField}; - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::{FailureLocation, MockProver, VerifyFailure}, - plonk::{Any, Circuit, ConstraintSystem, Error, Selector}, - poly::Rotation, - }; - use pasta_curves::{arithmetic::FieldExt, pallas}; - use proptest::prelude::*; - use rand::rngs::OsRng; - use std::convert::TryInto; - use std::iter; - - #[test] - fn test_range_check() { - struct MyCircuit(u8); - - impl UtilitiesInstructions for MyCircuit { - type Var = AssignedCell; - } - - #[derive(Clone)] - struct Config { - selector: Selector, - advice: Column, - } - - impl Circuit for MyCircuit { - type Config = Config; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - MyCircuit(self.0) - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let selector = meta.selector(); - let advice = meta.advice_column(); - - meta.create_gate("range check", |meta| { - let selector = meta.query_selector(selector); - let advice = meta.query_advice(advice, Rotation::cur()); - - vec![selector * range_check(advice, RANGE)] - }); - - Config { selector, advice } - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - layouter.assign_region( - || "range constrain", - |mut region| { - config.selector.enable(&mut region, 0)?; - region.assign_advice( - || format!("witness {}", self.0), - config.advice, - 0, - || Ok(pallas::Base::from(self.0 as u64)), - )?; - - Ok(()) - }, - ) - } - } - - for i in 0..8 { - let circuit: MyCircuit<8> = MyCircuit(i); - let prover = MockProver::::run(3, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - - { - let circuit: MyCircuit<8> = MyCircuit(8); - let prover = MockProver::::run(3, &circuit, vec![]).unwrap(); - assert_eq!( - prover.verify(), - Err(vec![VerifyFailure::ConstraintNotSatisfied { - constraint: ((0, "range check").into(), 0, "").into(), - location: FailureLocation::InRegion { - region: (0, "range constrain").into(), - offset: 0, - }, - cell_values: vec![(((Any::Advice, 0).into(), 0).into(), "0x8".to_string())], - }]) - ); - } - } - - #[test] - fn test_bitrange_subset() { - let rng = OsRng; - - // Subset full range. - { - let field_elem = pallas::Base::random(rng); - let bitrange = 0..(pallas::Base::NUM_BITS as usize); - let subset = bitrange_subset(&field_elem, bitrange); - assert_eq!(field_elem, subset); - } - - // Subset zero bits - { - let field_elem = pallas::Base::random(rng); - let bitrange = 0..0; - let subset = bitrange_subset(&field_elem, bitrange); - assert_eq!(pallas::Base::zero(), subset); - } - - // Closure to decompose field element into pieces using consecutive ranges, - // and check that we recover the original. - let decompose = |field_elem: pallas::Base, ranges: &[Range]| { - assert_eq!( - ranges.iter().map(|range| range.len()).sum::(), - pallas::Base::NUM_BITS as usize - ); - assert_eq!(ranges[0].start, 0); - assert_eq!(ranges.last().unwrap().end, pallas::Base::NUM_BITS as usize); - - // Check ranges are contiguous - #[allow(unused_assignments)] - { - let mut ranges = ranges.iter(); - let mut range = ranges.next().unwrap(); - if let Some(next_range) = ranges.next() { - assert_eq!(range.end, next_range.start); - range = next_range; - } - } - - let subsets = ranges - .iter() - .map(|range| bitrange_subset(&field_elem, range.clone())) - .collect::>(); - - let mut sum = subsets[0]; - let mut num_bits = 0; - for (idx, subset) in subsets.iter().skip(1).enumerate() { - // 2^num_bits - let range_shift: [u8; 32] = { - num_bits += ranges[idx].len(); - let mut range_shift = [0u8; 32]; - U256([2, 0, 0, 0]) - .pow(U256([num_bits as u64, 0, 0, 0])) - .to_little_endian(&mut range_shift); - range_shift - }; - sum += subset * pallas::Base::from_repr(range_shift).unwrap(); - } - assert_eq!(field_elem, sum); - }; - - decompose(pallas::Base::random(rng), &[0..255]); - decompose(pallas::Base::random(rng), &[0..1, 1..255]); - decompose(pallas::Base::random(rng), &[0..254, 254..255]); - decompose(pallas::Base::random(rng), &[0..127, 127..255]); - decompose(pallas::Base::random(rng), &[0..128, 128..255]); - decompose( - pallas::Base::random(rng), - &[0..50, 50..100, 100..150, 150..200, 200..255], - ); - } - - prop_compose! { - fn arb_scalar()(bytes in prop::array::uniform32(0u8..)) -> pallas::Scalar { - // Instead of rejecting out-of-range bytes, let's reduce them. - let mut buf = [0; 64]; - buf[..32].copy_from_slice(&bytes); - pallas::Scalar::from_bytes_wide(&buf) - } - } - - proptest! { - #[test] - fn test_decompose_word( - scalar in arb_scalar(), - window_num_bits in 1u8..9 - ) { - // Get decomposition into `window_num_bits` bits - let decomposed = decompose_word(&scalar, pallas::Scalar::NUM_BITS as usize, window_num_bits as usize); - - // Flatten bits - let bits = decomposed - .iter() - .flat_map(|window| (0..window_num_bits).map(move |mask| (window & (1 << mask)) != 0)); - - // Ensure this decomposition contains 256 or fewer set bits. - assert!(!bits.clone().skip(32*8).any(|b| b)); - - // Pad or truncate bits to 32 bytes - let bits: Vec = bits.chain(iter::repeat(false)).take(32*8).collect(); - - let bytes: Vec = bits.chunks_exact(8).map(|chunk| chunk.iter().rev().fold(0, |acc, b| (acc << 1) + (*b as u8))).collect(); - - // Check that original scalar is recovered from decomposition - assert_eq!(scalar, pallas::Scalar::from_repr(bytes.try_into().unwrap()).unwrap()); - } - } - - #[test] - fn lebs2ip_round_trip() { - use rand::rngs::OsRng; - - let mut rng = OsRng; - { - let int = rng.next_u64(); - assert_eq!(lebs2ip::<64>(&i2lebsp(int)), int); - } - - assert_eq!(lebs2ip::<64>(&i2lebsp(0)), 0); - assert_eq!( - lebs2ip::<64>(&i2lebsp(0xFFFFFFFFFFFFFFFF)), - 0xFFFFFFFFFFFFFFFF - ); - } - - #[test] - fn i2lebsp_round_trip() { - { - let bitstring = (0..64).map(|_| rand::random()).collect::>(); - assert_eq!( - i2lebsp::<64>(lebs2ip::<64>(&bitstring.clone().try_into().unwrap())).to_vec(), - bitstring - ); - } - - { - let bitstring = [false; 64]; - assert_eq!(i2lebsp(lebs2ip(&bitstring)), bitstring); - } - - { - let bitstring = [true; 64]; - assert_eq!(i2lebsp(lebs2ip(&bitstring)), bitstring); - } - - { - let bitstring = []; - assert_eq!(i2lebsp(lebs2ip(&bitstring)), bitstring); - } - } -} diff --git a/src/circuit/gadget/utilities/cond_swap.rs b/src/circuit/gadget/utilities/cond_swap.rs deleted file mode 100644 index 10d84841..00000000 --- a/src/circuit/gadget/utilities/cond_swap.rs +++ /dev/null @@ -1,294 +0,0 @@ -use super::{bool_check, ternary, UtilitiesInstructions}; -use halo2::{ - circuit::{AssignedCell, Chip, Layouter}, - plonk::{Advice, Column, ConstraintSystem, Error, Selector}, - poly::Rotation, -}; -use pasta_curves::arithmetic::FieldExt; -use std::{array, marker::PhantomData}; - -pub trait CondSwapInstructions: UtilitiesInstructions { - #[allow(clippy::type_complexity)] - /// Given an input pair (a,b) and a `swap` boolean flag, returns - /// (b,a) if `swap` is set, else (a,b) if `swap` is not set. - /// - /// The second element of the pair is required to be a witnessed - /// value, not a variable that already exists in the circuit. - fn swap( - &self, - layouter: impl Layouter, - pair: (Self::Var, Option), - swap: Option, - ) -> Result<(Self::Var, Self::Var), Error>; -} - -/// A chip implementing a conditional swap. -#[derive(Clone, Debug)] -pub struct CondSwapChip { - config: CondSwapConfig, - _marker: PhantomData, -} - -impl Chip for CondSwapChip { - type Config = CondSwapConfig; - type Loaded = (); - - fn config(&self) -> &Self::Config { - &self.config - } - - fn loaded(&self) -> &Self::Loaded { - &() - } -} - -#[derive(Clone, Debug)] -pub struct CondSwapConfig { - pub q_swap: Selector, - pub a: Column, - pub b: Column, - pub a_swapped: Column, - pub b_swapped: Column, - pub swap: Column, -} - -impl UtilitiesInstructions for CondSwapChip { - type Var = AssignedCell; -} - -impl CondSwapInstructions for CondSwapChip { - #[allow(clippy::type_complexity)] - fn swap( - &self, - mut layouter: impl Layouter, - pair: (Self::Var, Option), - swap: Option, - ) -> Result<(Self::Var, Self::Var), Error> { - let config = self.config(); - - layouter.assign_region( - || "swap", - |mut region| { - // Enable `q_swap` selector - config.q_swap.enable(&mut region, 0)?; - - // Copy in `a` value - let a = pair.0.copy_advice(|| "copy a", &mut region, config.a, 0)?; - - // Witness `b` value - let b = region.assign_advice( - || "witness b", - config.b, - 0, - || pair.1.ok_or(Error::Synthesis), - )?; - - // Witness `swap` value - let swap_val = swap.map(|swap| F::from(swap as u64)); - region.assign_advice( - || "swap", - config.swap, - 0, - || swap_val.ok_or(Error::Synthesis), - )?; - - // Conditionally swap a - let a_swapped = { - let a_swapped = a - .value() - .zip(b.value()) - .zip(swap) - .map(|((a, b), swap)| if swap { b } else { a }) - .cloned(); - region.assign_advice( - || "a_swapped", - config.a_swapped, - 0, - || a_swapped.ok_or(Error::Synthesis), - )? - }; - - // Conditionally swap b - let b_swapped = { - let b_swapped = a - .value() - .zip(b.value()) - .zip(swap) - .map(|((a, b), swap)| if swap { a } else { b }) - .cloned(); - region.assign_advice( - || "b_swapped", - config.b_swapped, - 0, - || b_swapped.ok_or(Error::Synthesis), - )? - }; - - // Return swapped pair - Ok((a_swapped, b_swapped)) - }, - ) - } -} - -impl CondSwapChip { - /// Configures this chip for use in a circuit. - /// - /// # Side-effects - /// - /// `advices[0]` will be equality-enabled. - pub fn configure( - meta: &mut ConstraintSystem, - advices: [Column; 5], - ) -> CondSwapConfig { - let a = advices[0]; - // Only column a is used in an equality constraint directly by this chip. - meta.enable_equality(a); - - let q_swap = meta.selector(); - - let config = CondSwapConfig { - q_swap, - a, - b: advices[1], - a_swapped: advices[2], - b_swapped: advices[3], - swap: advices[4], - }; - - // TODO: optimise shape of gate for Merkle path validation - - meta.create_gate("a' = b ⋅ swap + a ⋅ (1-swap)", |meta| { - let q_swap = meta.query_selector(q_swap); - - let a = meta.query_advice(config.a, Rotation::cur()); - let b = meta.query_advice(config.b, Rotation::cur()); - let a_swapped = meta.query_advice(config.a_swapped, Rotation::cur()); - let b_swapped = meta.query_advice(config.b_swapped, Rotation::cur()); - let swap = meta.query_advice(config.swap, Rotation::cur()); - - // This checks that `a_swapped` is equal to `b` when `swap` is set, - // but remains as `a` when `swap` is not set. - let a_check = a_swapped - ternary(swap.clone(), b.clone(), a.clone()); - - // This checks that `b_swapped` is equal to `a` when `swap` is set, - // but remains as `b` when `swap` is not set. - let b_check = b_swapped - ternary(swap.clone(), a, b); - - // Check `swap` is boolean. - let bool_check = bool_check(swap); - - array::IntoIter::new([a_check, b_check, bool_check]) - .map(move |poly| q_swap.clone() * poly) - }); - - config - } - - pub fn construct(config: CondSwapConfig) -> Self { - CondSwapChip { - config, - _marker: PhantomData, - } - } -} - -#[cfg(test)] -mod tests { - use super::super::UtilitiesInstructions; - use super::{CondSwapChip, CondSwapConfig, CondSwapInstructions}; - use group::ff::Field; - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::MockProver, - plonk::{Circuit, ConstraintSystem, Error}, - }; - use pasta_curves::{arithmetic::FieldExt, pallas::Base}; - use rand::rngs::OsRng; - - #[test] - fn cond_swap() { - #[derive(Default)] - struct MyCircuit { - a: Option, - b: Option, - swap: Option, - } - - impl Circuit for MyCircuit { - type Config = CondSwapConfig; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - Self::default() - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let advices = [ - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - meta.advice_column(), - ]; - - CondSwapChip::::configure(meta, advices) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - let chip = CondSwapChip::::construct(config.clone()); - - // Load the pair and the swap flag into the circuit. - let a = chip.load_private(layouter.namespace(|| "a"), config.a, self.a)?; - // Return the swapped pair. - let swapped_pair = chip.swap( - layouter.namespace(|| "swap"), - (a.clone(), self.b), - self.swap, - )?; - - if let Some(swap) = self.swap { - if swap { - // Check that `a` and `b` have been swapped - assert_eq!(swapped_pair.0.value().unwrap(), &self.b.unwrap()); - assert_eq!(swapped_pair.1.value().unwrap(), a.value().unwrap()); - } else { - // Check that `a` and `b` have not been swapped - assert_eq!(swapped_pair.0.value().unwrap(), a.value().unwrap()); - assert_eq!(swapped_pair.1.value().unwrap(), &self.b.unwrap()); - } - } - - Ok(()) - } - } - - let rng = OsRng; - - // Test swap case - { - let circuit: MyCircuit = MyCircuit { - a: Some(Base::random(rng)), - b: Some(Base::random(rng)), - swap: Some(true), - }; - let prover = MockProver::::run(3, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - - // Test non-swap case - { - let circuit: MyCircuit = MyCircuit { - a: Some(Base::random(rng)), - b: Some(Base::random(rng)), - swap: Some(false), - }; - let prover = MockProver::::run(3, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - } -} diff --git a/src/circuit/gadget/utilities/decompose_running_sum.rs b/src/circuit/gadget/utilities/decompose_running_sum.rs deleted file mode 100644 index 170655c1..00000000 --- a/src/circuit/gadget/utilities/decompose_running_sum.rs +++ /dev/null @@ -1,391 +0,0 @@ -//! Decomposes an $n$-bit field element $\alpha$ into $W$ windows, each window -//! being a $K$-bit word, using a running sum $z$. -//! We constrain $K \leq 3$ for this helper. -//! $$\alpha = k_0 + (2^K) k_1 + (2^{2K}) k_2 + ... + (2^{(W-1)K}) k_{W-1}$$ -//! -//! $z_0$ is initialized as $\alpha$. Each successive $z_{i+1}$ is computed as -//! $$z_{i+1} = (z_{i} - k_i) / (2^K).$$ -//! $z_W$ is constrained to be zero. -//! The difference between each interstitial running sum output is constrained -//! to be $K$ bits, i.e. -//! `range_check`($k_i$, $2^K$), -//! where -//! ```text -//! range_check(word, range) -//! = word * (1 - word) * (2 - word) * ... * ((range - 1) - word) -//! ``` -//! -//! Given that the `range_check` constraint will be toggled by a selector, in -//! practice we will have a `selector * range_check(word, range)` expression -//! of degree `range + 1`. -//! -//! This means that $2^K$ has to be at most `degree_bound - 1` in order for -//! the range check constraint to stay within the degree bound. - -use ff::PrimeFieldBits; -use halo2::{ - circuit::{AssignedCell, Region}, - plonk::{Advice, Column, ConstraintSystem, Error, Selector}, - poly::Rotation, -}; - -use super::range_check; -use pasta_curves::arithmetic::FieldExt; -use std::marker::PhantomData; - -/// The running sum $[z_0, ..., z_W]$. If created in strict mode, $z_W = 0$. -pub struct RunningSum(Vec>); -impl std::ops::Deref for RunningSum { - type Target = Vec>; - - fn deref(&self) -> &Vec> { - &self.0 - } -} - -#[derive(Debug, Clone, Copy, Eq, PartialEq)] -pub struct RunningSumConfig { - pub q_range_check: Selector, - pub z: Column, - _marker: PhantomData, -} - -impl - RunningSumConfig -{ - /// `perm` MUST include the advice column `z`. - /// - /// # Panics - /// - /// Panics if WINDOW_NUM_BITS > 3. - /// - /// # Side-effects - /// - /// `z` will be equality-enabled. - pub fn configure( - meta: &mut ConstraintSystem, - q_range_check: Selector, - z: Column, - ) -> Self { - assert!(WINDOW_NUM_BITS <= 3); - - meta.enable_equality(z); - - let config = Self { - q_range_check, - z, - _marker: PhantomData, - }; - - meta.create_gate("range check", |meta| { - let q_range_check = meta.query_selector(config.q_range_check); - let z_cur = meta.query_advice(config.z, Rotation::cur()); - let z_next = meta.query_advice(config.z, Rotation::next()); - // z_i = 2^{K}⋅z_{i + 1} + k_i - // => k_i = z_i - 2^{K}⋅z_{i + 1} - let word = z_cur - z_next * F::from(1 << WINDOW_NUM_BITS); - - vec![q_range_check * range_check(word, 1 << WINDOW_NUM_BITS)] - }); - - config - } - - /// Decompose a field element alpha that is witnessed in this helper. - /// - /// `strict` = true constrains the final running sum to be zero, i.e. - /// constrains alpha to be within WINDOW_NUM_BITS * num_windows bits. - pub fn witness_decompose( - &self, - region: &mut Region<'_, F>, - offset: usize, - alpha: Option, - strict: bool, - word_num_bits: usize, - num_windows: usize, - ) -> Result, Error> { - let z_0 = region.assign_advice( - || "z_0 = alpha", - self.z, - offset, - || alpha.ok_or(Error::Synthesis), - )?; - self.decompose(region, offset, z_0, strict, word_num_bits, num_windows) - } - - /// Decompose an existing variable alpha that is copied into this helper. - /// - /// `strict` = true constrains the final running sum to be zero, i.e. - /// constrains alpha to be within WINDOW_NUM_BITS * num_windows bits. - pub fn copy_decompose( - &self, - region: &mut Region<'_, F>, - offset: usize, - alpha: AssignedCell, - strict: bool, - word_num_bits: usize, - num_windows: usize, - ) -> Result, Error> { - let z_0 = alpha.copy_advice(|| "copy z_0 = alpha", region, self.z, offset)?; - self.decompose(region, offset, z_0, strict, word_num_bits, num_windows) - } - - /// `z_0` must be the cell at `(self.z, offset)` in `region`. - /// - /// # Panics - /// - /// Panics if there are too many windows for the given word size. - fn decompose( - &self, - region: &mut Region<'_, F>, - offset: usize, - z_0: AssignedCell, - strict: bool, - word_num_bits: usize, - num_windows: usize, - ) -> Result, Error> { - // Make sure that we do not have more windows than required for the number - // of bits in the word. In other words, every window must contain at least - // one bit of the word (no empty windows). - // - // For example, let: - // - word_num_bits = 64 - // - WINDOW_NUM_BITS = 3 - // In this case, the maximum allowed num_windows is 22: - // 3 * 22 < 64 + 3 - // - assert!(WINDOW_NUM_BITS * num_windows < word_num_bits + WINDOW_NUM_BITS); - - // Enable selectors - for idx in 0..num_windows { - self.q_range_check.enable(region, offset + idx)?; - } - - // Decompose base field element into K-bit words. - let words: Vec> = { - let words = z_0 - .value() - .map(|word| super::decompose_word::(word, word_num_bits, WINDOW_NUM_BITS)); - - if let Some(words) = words { - words.into_iter().map(Some).collect() - } else { - vec![None; num_windows] - } - }; - - // Initialize empty vector to store running sum values [z_0, ..., z_W]. - let mut zs: Vec> = vec![z_0.clone()]; - let mut z = z_0; - - // Assign running sum `z_{i+1}` = (z_i - k_i) / (2^K) for i = 0..=n-1. - // Outside of this helper, z_0 = alpha must have already been loaded into the - // `z` column at `offset`. - let two_pow_k_inv = F::from(1 << WINDOW_NUM_BITS as u64).invert().unwrap(); - for (i, word) in words.iter().enumerate() { - // z_next = (z_cur - word) / (2^K) - let z_next = { - let word = word.map(|word| F::from(word as u64)); - let z_next_val = z - .value() - .zip(word) - .map(|(z_cur_val, word)| (*z_cur_val - word) * two_pow_k_inv); - region.assign_advice( - || format!("z_{:?}", i + 1), - self.z, - offset + i + 1, - || z_next_val.ok_or(Error::Synthesis), - )? - }; - - // Update `z`. - z = z_next; - zs.push(z.clone()); - } - assert_eq!(zs.len(), num_windows + 1); - - if strict { - // Constrain the final running sum output to be zero. - region.constrain_constant(zs.last().unwrap().cell(), F::zero())?; - } - - Ok(RunningSum(zs)) - } -} - -#[cfg(test)] -mod tests { - use super::*; - use group::ff::{Field, PrimeField}; - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::{MockProver, VerifyFailure}, - plonk::{Any, Circuit, ConstraintSystem, Error}, - }; - use pasta_curves::{arithmetic::FieldExt, pallas}; - use rand::rngs::OsRng; - - use crate::circuit::gadget::ecc::chip::{ - FIXED_BASE_WINDOW_SIZE, L_SCALAR_SHORT as L_SHORT, NUM_WINDOWS, NUM_WINDOWS_SHORT, - }; - - const L_BASE: usize = pallas::Base::NUM_BITS as usize; - - #[test] - fn test_running_sum() { - struct MyCircuit< - F: FieldExt + PrimeFieldBits, - const WORD_NUM_BITS: usize, - const WINDOW_NUM_BITS: usize, - const NUM_WINDOWS: usize, - > { - alpha: Option, - strict: bool, - } - - impl< - F: FieldExt + PrimeFieldBits, - const WORD_NUM_BITS: usize, - const WINDOW_NUM_BITS: usize, - const NUM_WINDOWS: usize, - > Circuit for MyCircuit - { - type Config = RunningSumConfig; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - Self { - alpha: None, - strict: self.strict, - } - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let z = meta.advice_column(); - let q_range_check = meta.selector(); - let constants = meta.fixed_column(); - meta.enable_constant(constants); - - RunningSumConfig::::configure(meta, q_range_check, z) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - layouter.assign_region( - || "decompose", - |mut region| { - let offset = 0; - let zs = config.witness_decompose( - &mut region, - offset, - self.alpha, - self.strict, - WORD_NUM_BITS, - NUM_WINDOWS, - )?; - let alpha = zs[0].clone(); - - let offset = offset + NUM_WINDOWS + 1; - - config.copy_decompose( - &mut region, - offset, - alpha, - self.strict, - WORD_NUM_BITS, - NUM_WINDOWS, - )?; - - Ok(()) - }, - ) - } - } - - // Random base field element - { - let alpha = pallas::Base::random(OsRng); - - // Strict full decomposition should pass. - let circuit: MyCircuit = - MyCircuit { - alpha: Some(alpha), - strict: true, - }; - let prover = MockProver::::run(8, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - - // Random 64-bit word - { - let alpha = pallas::Base::from(rand::random::()); - - // Strict full decomposition should pass. - let circuit: MyCircuit< - pallas::Base, - L_SHORT, - FIXED_BASE_WINDOW_SIZE, - { NUM_WINDOWS_SHORT }, - > = MyCircuit { - alpha: Some(alpha), - strict: true, - }; - let prover = MockProver::::run(8, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - - // 2^66 - { - let alpha = pallas::Base::from_u128(1 << 66); - - // Strict partial decomposition should fail. - let circuit: MyCircuit< - pallas::Base, - L_SHORT, - FIXED_BASE_WINDOW_SIZE, - { NUM_WINDOWS_SHORT }, - > = MyCircuit { - alpha: Some(alpha), - strict: true, - }; - let prover = MockProver::::run(8, &circuit, vec![]).unwrap(); - assert_eq!( - prover.verify(), - Err(vec![ - VerifyFailure::Permutation { - column: (Any::Fixed, 0).into(), - row: 0 - }, - VerifyFailure::Permutation { - column: (Any::Fixed, 0).into(), - row: 1 - }, - VerifyFailure::Permutation { - column: (Any::Advice, 0).into(), - row: 22 - }, - VerifyFailure::Permutation { - column: (Any::Advice, 0).into(), - row: 45 - }, - ]) - ); - - // Non-strict partial decomposition should pass. - let circuit: MyCircuit< - pallas::Base, - { L_SHORT }, - FIXED_BASE_WINDOW_SIZE, - { NUM_WINDOWS_SHORT }, - > = MyCircuit { - alpha: Some(alpha), - strict: false, - }; - let prover = MockProver::::run(8, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - } -} diff --git a/src/circuit/gadget/utilities/lookup_range_check.rs b/src/circuit/gadget/utilities/lookup_range_check.rs deleted file mode 100644 index 909d937c..00000000 --- a/src/circuit/gadget/utilities/lookup_range_check.rs +++ /dev/null @@ -1,628 +0,0 @@ -//! Make use of a K-bit lookup table to decompose a field element into K-bit -//! words. - -use halo2::{ - circuit::{AssignedCell, Layouter, Region}, - plonk::{Advice, Column, ConstraintSystem, Error, Selector, TableColumn}, - poly::Rotation, -}; -use std::{convert::TryInto, marker::PhantomData}; - -use ff::PrimeFieldBits; - -use super::*; - -/// The running sum $[z_0, ..., z_W]$. If created in strict mode, $z_W = 0$. -pub struct RunningSum(Vec>); -impl std::ops::Deref for RunningSum { - type Target = Vec>; - - fn deref(&self) -> &Vec> { - &self.0 - } -} - -#[derive(Eq, PartialEq, Debug, Clone, Copy)] -pub struct LookupRangeCheckConfig { - pub q_lookup: Selector, - pub q_running: Selector, - pub q_bitshift: Selector, - pub running_sum: Column, - table_idx: TableColumn, - _marker: PhantomData, -} - -impl LookupRangeCheckConfig { - /// The `running_sum` advice column breaks the field element into `K`-bit - /// words. It is used to construct the input expression to the lookup - /// argument. - /// - /// The `table_idx` fixed column contains values from [0..2^K). Looking up - /// a value in `table_idx` constrains it to be within this range. The table - /// can be loaded outside this helper. - /// - /// # Side-effects - /// - /// Both the `running_sum` and `constants` columns will be equality-enabled. - pub fn configure( - meta: &mut ConstraintSystem, - running_sum: Column, - table_idx: TableColumn, - ) -> Self { - meta.enable_equality(running_sum); - - let q_lookup = meta.complex_selector(); - let q_running = meta.complex_selector(); - let q_bitshift = meta.selector(); - let config = LookupRangeCheckConfig { - q_lookup, - q_running, - q_bitshift, - running_sum, - table_idx, - _marker: PhantomData, - }; - - meta.lookup(|meta| { - let q_lookup = meta.query_selector(config.q_lookup); - let q_running = meta.query_selector(config.q_running); - let z_cur = meta.query_advice(config.running_sum, Rotation::cur()); - - // In the case of a running sum decomposition, we recover the word from - // the difference of the running sums: - // z_i = 2^{K}⋅z_{i + 1} + a_i - // => a_i = z_i - 2^{K}⋅z_{i + 1} - let running_sum_lookup = { - let running_sum_word = { - let z_next = meta.query_advice(config.running_sum, Rotation::next()); - z_cur.clone() - z_next * F::from(1 << K) - }; - - q_running.clone() * running_sum_word - }; - - // In the short range check, the word is directly witnessed. - let short_lookup = { - let short_word = z_cur; - let q_short = Expression::Constant(F::one()) - q_running; - - q_short * short_word - }; - - // Combine the running sum and short lookups: - vec![( - q_lookup * (running_sum_lookup + short_lookup), - config.table_idx, - )] - }); - - // For short lookups, check that the word has been shifted by the correct number of bits. - meta.create_gate("Short lookup bitshift", |meta| { - let q_bitshift = meta.query_selector(config.q_bitshift); - let word = meta.query_advice(config.running_sum, Rotation::prev()); - let shifted_word = meta.query_advice(config.running_sum, Rotation::cur()); - let inv_two_pow_s = meta.query_advice(config.running_sum, Rotation::next()); - - let two_pow_k = F::from(1 << K); - - // shifted_word = word * 2^{K-s} - // = word * 2^K * inv_two_pow_s - vec![q_bitshift * (word * two_pow_k * inv_two_pow_s - shifted_word)] - }); - - config - } - - #[cfg(test)] - // Loads the values [0..2^K) into `table_idx`. This is only used in testing - // for now, since the Sinsemilla chip provides a pre-loaded table in the - // Orchard context. - pub fn load(&self, layouter: &mut impl Layouter) -> Result<(), Error> { - layouter.assign_table( - || "table_idx", - |mut table| { - // We generate the row values lazily (we only need them during keygen). - for index in 0..(1 << K) { - table.assign_cell( - || "table_idx", - self.table_idx, - index, - || Ok(F::from(index as u64)), - )?; - } - Ok(()) - }, - ) - } - - /// Range check on an existing cell that is copied into this helper. - /// - /// Returns an error if `element` is not in a column that was passed to - /// [`ConstraintSystem::enable_equality`] during circuit configuration. - pub fn copy_check( - &self, - mut layouter: impl Layouter, - element: AssignedCell, - num_words: usize, - strict: bool, - ) -> Result, Error> { - layouter.assign_region( - || format!("{:?} words range check", num_words), - |mut region| { - // Copy `element` and initialize running sum `z_0 = element` to decompose it. - let z_0 = element.copy_advice(|| "z_0", &mut region, self.running_sum, 0)?; - self.range_check(&mut region, z_0, num_words, strict) - }, - ) - } - - /// Range check on a value that is witnessed in this helper. - pub fn witness_check( - &self, - mut layouter: impl Layouter, - value: Option, - num_words: usize, - strict: bool, - ) -> Result, Error> { - layouter.assign_region( - || "Witness element", - |mut region| { - let z_0 = region.assign_advice( - || "Witness element", - self.running_sum, - 0, - || value.ok_or(Error::Synthesis), - )?; - self.range_check(&mut region, z_0, num_words, strict) - }, - ) - } - - /// If `strict` is set to "true", the field element must fit into - /// `num_words * K` bits. In other words, the the final cumulative sum `z_{num_words}` - /// must be zero. - /// - /// If `strict` is set to "false", the final `z_{num_words}` is not constrained. - /// - /// `element` must have been assigned to `self.running_sum` at offset 0. - fn range_check( - &self, - region: &mut Region<'_, F>, - element: AssignedCell, - num_words: usize, - strict: bool, - ) -> Result, Error> { - // `num_words` must fit into a single field element. - assert!(num_words * K <= F::CAPACITY as usize); - let num_bits = num_words * K; - - // Chunk the first num_bits bits into K-bit words. - let words = { - // Take first num_bits bits of `element`. - let bits = element.value().map(|element| { - element - .to_le_bits() - .into_iter() - .take(num_bits) - .collect::>() - }); - - let words: Option> = bits.map(|bits| { - bits.chunks_exact(K) - .map(|word| F::from(lebs2ip::(&(word.try_into().unwrap())))) - .collect::>() - }); - if let Some(words) = words { - words.into_iter().map(Some).collect() - } else { - vec![None; num_words] - } - }; - - let mut zs = vec![element.clone()]; - - // Assign cumulative sum such that - // z_i = 2^{K}⋅z_{i + 1} + a_i - // => z_{i + 1} = (z_i - a_i) / (2^K) - // - // For `element` = a_0 + 2^10 a_1 + ... + 2^{120} a_{12}}, initialize z_0 = `element`. - // If `element` fits in 130 bits, we end up with z_{13} = 0. - let mut z = element; - let inv_two_pow_k = F::from(1u64 << K).invert().unwrap(); - for (idx, word) in words.iter().enumerate() { - // Enable q_lookup on this row - self.q_lookup.enable(region, idx)?; - // Enable q_running on this row - self.q_running.enable(region, idx)?; - - // z_next = (z_cur - m_cur) / 2^K - z = { - let z_val = z - .value() - .zip(*word) - .map(|(z, word)| (*z - word) * inv_two_pow_k); - - // Assign z_next - region.assign_advice( - || format!("z_{:?}", idx + 1), - self.running_sum, - idx + 1, - || z_val.ok_or(Error::Synthesis), - )? - }; - zs.push(z.clone()); - } - - if strict { - // Constrain the final `z` to be zero. - region.constrain_constant(zs.last().unwrap().cell(), F::zero())?; - } - - Ok(RunningSum(zs)) - } - - /// Short range check on an existing cell that is copied into this helper. - /// - /// # Panics - /// - /// Panics if NUM_BITS is equal to or larger than K. - pub fn copy_short_check( - &self, - mut layouter: impl Layouter, - element: AssignedCell, - num_bits: usize, - ) -> Result<(), Error> { - assert!(num_bits < K); - layouter.assign_region( - || format!("Range check {:?} bits", num_bits), - |mut region| { - // Copy `element` to use in the k-bit lookup. - let element = - element.copy_advice(|| "element", &mut region, self.running_sum, 0)?; - - self.short_range_check(&mut region, element, num_bits) - }, - ) - } - - /// Short range check on value that is witnessed in this helper. - /// - /// # Panics - /// - /// Panics if num_bits is larger than K. - pub fn witness_short_check( - &self, - mut layouter: impl Layouter, - element: Option, - num_bits: usize, - ) -> Result, Error> { - assert!(num_bits <= K); - layouter.assign_region( - || format!("Range check {:?} bits", num_bits), - |mut region| { - // Witness `element` to use in the k-bit lookup. - let element = region.assign_advice( - || "Witness element", - self.running_sum, - 0, - || element.ok_or(Error::Synthesis), - )?; - - self.short_range_check(&mut region, element.clone(), num_bits)?; - - Ok(element) - }, - ) - } - - /// Constrain `x` to be a NUM_BITS word. - /// - /// `element` must have been assigned to `self.running_sum` at offset 0. - fn short_range_check( - &self, - region: &mut Region<'_, F>, - element: AssignedCell, - num_bits: usize, - ) -> Result<(), Error> { - // Enable lookup for `element`, to constrain it to 10 bits. - self.q_lookup.enable(region, 0)?; - - // Enable lookup for shifted element, to constrain it to 10 bits. - self.q_lookup.enable(region, 1)?; - - // Check element has been shifted by the correct number of bits. - self.q_bitshift.enable(region, 1)?; - - // Assign shifted `element * 2^{K - num_bits}` - let shifted = element.value().map(|element| { - let shift = F::from(1 << (K - num_bits)); - *element * shift - }); - - region.assign_advice( - || format!("element * 2^({}-{})", K, num_bits), - self.running_sum, - 1, - || shifted.ok_or(Error::Synthesis), - )?; - - // Assign 2^{-num_bits} from a fixed column. - let inv_two_pow_s = F::from(1 << num_bits).invert().unwrap(); - region.assign_advice_from_constant( - || format!("2^(-{})", num_bits), - self.running_sum, - 2, - inv_two_pow_s, - )?; - - Ok(()) - } -} - -#[cfg(test)] -mod tests { - use super::LookupRangeCheckConfig; - - use super::super::lebs2ip; - use crate::primitives::sinsemilla::K; - use ff::{Field, PrimeFieldBits}; - use halo2::{ - circuit::{Layouter, SimpleFloorPlanner}, - dev::{FailureLocation, MockProver, VerifyFailure}, - plonk::{Circuit, ConstraintSystem, Error}, - }; - use pasta_curves::{arithmetic::FieldExt, pallas}; - - use std::{convert::TryInto, marker::PhantomData}; - - #[test] - fn lookup_range_check() { - #[derive(Clone, Copy)] - struct MyCircuit { - num_words: usize, - _marker: PhantomData, - } - - impl Circuit for MyCircuit { - type Config = LookupRangeCheckConfig; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - *self - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let running_sum = meta.advice_column(); - let table_idx = meta.lookup_table_column(); - let constants = meta.fixed_column(); - meta.enable_constant(constants); - - LookupRangeCheckConfig::::configure(meta, running_sum, table_idx) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - // Load table_idx - config.load(&mut layouter)?; - - // Lookup constraining element to be no longer than num_words * K bits. - let elements_and_expected_final_zs = [ - (F::from((1 << (self.num_words * K)) - 1), F::zero(), true), // a word that is within self.num_words * K bits long - (F::from(1 << (self.num_words * K)), F::one(), false), // a word that is just over self.num_words * K bits long - ]; - - fn expected_zs( - element: F, - num_words: usize, - ) -> Vec { - let chunks = { - element - .to_le_bits() - .iter() - .by_val() - .take(num_words * K) - .collect::>() - .chunks_exact(K) - .map(|chunk| F::from(lebs2ip::(chunk.try_into().unwrap()))) - .collect::>() - }; - let expected_zs = { - let inv_two_pow_k = F::from(1 << K).invert().unwrap(); - chunks.iter().fold(vec![element], |mut zs, a_i| { - // z_{i + 1} = (z_i - a_i) / 2^{K} - let z = (zs[zs.len() - 1] - a_i) * inv_two_pow_k; - zs.push(z); - zs - }) - }; - expected_zs - } - - for (element, expected_final_z, strict) in elements_and_expected_final_zs.iter() { - let expected_zs = expected_zs::(*element, self.num_words); - - let zs = config.witness_check( - layouter.namespace(|| format!("Lookup {:?}", self.num_words)), - Some(*element), - self.num_words, - *strict, - )?; - - assert_eq!(*expected_zs.last().unwrap(), *expected_final_z); - - for (expected_z, z) in expected_zs.into_iter().zip(zs.iter()) { - if let Some(z) = z.value() { - assert_eq!(&expected_z, z); - } - } - } - Ok(()) - } - } - - { - let circuit: MyCircuit = MyCircuit { - num_words: 6, - _marker: PhantomData, - }; - - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - } - - #[test] - fn short_range_check() { - struct MyCircuit { - element: Option, - num_bits: usize, - } - - impl Circuit for MyCircuit { - type Config = LookupRangeCheckConfig; - type FloorPlanner = SimpleFloorPlanner; - - fn without_witnesses(&self) -> Self { - MyCircuit { - element: None, - num_bits: self.num_bits, - } - } - - fn configure(meta: &mut ConstraintSystem) -> Self::Config { - let running_sum = meta.advice_column(); - let table_idx = meta.lookup_table_column(); - let constants = meta.fixed_column(); - meta.enable_constant(constants); - - LookupRangeCheckConfig::::configure(meta, running_sum, table_idx) - } - - fn synthesize( - &self, - config: Self::Config, - mut layouter: impl Layouter, - ) -> Result<(), Error> { - // Load table_idx - config.load(&mut layouter)?; - - // Lookup constraining element to be no longer than num_bits. - config.witness_short_check( - layouter.namespace(|| format!("Lookup {:?} bits", self.num_bits)), - self.element, - self.num_bits, - )?; - - Ok(()) - } - } - - // Edge case: zero bits - { - let circuit: MyCircuit = MyCircuit { - element: Some(pallas::Base::zero()), - num_bits: 0, - }; - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - - // Edge case: K bits - { - let circuit: MyCircuit = MyCircuit { - element: Some(pallas::Base::from((1 << K) - 1)), - num_bits: K, - }; - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - - // Element within `num_bits` - { - let circuit: MyCircuit = MyCircuit { - element: Some(pallas::Base::from((1 << 6) - 1)), - num_bits: 6, - }; - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!(prover.verify(), Ok(())); - } - - // Element larger than `num_bits` but within K bits - { - let circuit: MyCircuit = MyCircuit { - element: Some(pallas::Base::from(1 << 6)), - num_bits: 6, - }; - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!( - prover.verify(), - Err(vec![VerifyFailure::Lookup { - lookup_index: 0, - location: FailureLocation::InRegion { - region: (1, "Range check 6 bits").into(), - offset: 1, - }, - }]) - ); - } - - // Element larger than K bits - { - let circuit: MyCircuit = MyCircuit { - element: Some(pallas::Base::from(1 << K)), - num_bits: 6, - }; - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!( - prover.verify(), - Err(vec![ - VerifyFailure::Lookup { - lookup_index: 0, - location: FailureLocation::InRegion { - region: (1, "Range check 6 bits").into(), - offset: 0, - }, - }, - VerifyFailure::Lookup { - lookup_index: 0, - location: FailureLocation::InRegion { - region: (1, "Range check 6 bits").into(), - offset: 1, - }, - }, - ]) - ); - } - - // Element which is not within `num_bits`, but which has a shifted value within - // num_bits - { - let num_bits = 6; - let shifted = pallas::Base::from((1 << num_bits) - 1); - // Recall that shifted = element * 2^{K-s} - // => element = shifted * 2^{s-K} - let element = shifted - * pallas::Base::from(1 << (K as u64 - num_bits)) - .invert() - .unwrap(); - let circuit: MyCircuit = MyCircuit { - element: Some(element), - num_bits: num_bits as usize, - }; - let prover = MockProver::::run(11, &circuit, vec![]).unwrap(); - assert_eq!( - prover.verify(), - Err(vec![VerifyFailure::Lookup { - lookup_index: 0, - location: FailureLocation::InRegion { - region: (1, "Range check 6 bits").into(), - offset: 0, - }, - }]) - ); - } - } -} diff --git a/src/circuit/note_commit.rs b/src/circuit/note_commit.rs index e6590460..de71f27d 100644 --- a/src/circuit/note_commit.rs +++ b/src/circuit/note_commit.rs @@ -1,23 +1,21 @@ -use halo2::{ +use halo2_proofs::{ circuit::{AssignedCell, Layouter}, plonk::{Advice, Column, ConstraintSystem, Error, Expression, Selector}, poly::Rotation, }; use pasta_curves::{arithmetic::FieldExt, pallas}; -use crate::{ - circuit::gadget::{ - ecc::{ - chip::{EccChip, NonIdentityEccPoint}, - Point, - }, - sinsemilla::{ - chip::{SinsemillaChip, SinsemillaConfig}, - CommitDomain, Message, MessagePiece, - }, - utilities::{bitrange_subset, bool_check}, +use crate::constants::{OrchardCommitDomains, OrchardFixedBases, OrchardHashDomains, T_P}; +use halo2_gadgets::{ + ecc::{ + chip::{EccChip, NonIdentityEccPoint}, + Point, }, - constants::{OrchardCommitDomains, OrchardFixedBases, OrchardHashDomains, T_P}, + sinsemilla::{ + chip::{SinsemillaChip, SinsemillaConfig}, + CommitDomain, Message, MessagePiece, + }, + utilities::{bitrange_subset, bool_check}, }; /// The values of the running sum at the start and end of the range being used for a @@ -1455,25 +1453,23 @@ struct GateCells { #[cfg(test)] mod tests { use super::NoteCommitConfig; - use crate::{ - circuit::gadget::{ - ecc::{ - chip::{EccChip, EccConfig}, - NonIdentityPoint, - }, - sinsemilla::chip::SinsemillaChip, - utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, - }, - constants::{ - fixed_bases::NOTE_COMMITMENT_PERSONALIZATION, OrchardCommitDomains, OrchardFixedBases, - OrchardHashDomains, L_ORCHARD_BASE, L_VALUE, T_Q, + use crate::constants::{ + fixed_bases::NOTE_COMMITMENT_PERSONALIZATION, OrchardCommitDomains, OrchardFixedBases, + OrchardHashDomains, L_ORCHARD_BASE, L_VALUE, T_Q, + }; + use halo2_gadgets::{ + ecc::{ + chip::{EccChip, EccConfig}, + NonIdentityPoint, }, primitives::sinsemilla::CommitDomain, + sinsemilla::chip::SinsemillaChip, + utilities::{lookup_range_check::LookupRangeCheckConfig, UtilitiesInstructions}, }; use ff::{Field, PrimeField, PrimeFieldBits}; use group::Curve; - use halo2::{ + use halo2_proofs::{ circuit::{AssignedCell, Layouter, SimpleFloorPlanner}, dev::MockProver, plonk::{Circuit, ConstraintSystem, Error}, diff --git a/src/constants/fixed_bases.rs b/src/constants/fixed_bases.rs index 90a15858..d6c7c770 100644 --- a/src/constants/fixed_bases.rs +++ b/src/constants/fixed_bases.rs @@ -1,6 +1,6 @@ //! Orchard fixed bases. use super::{L_ORCHARD_SCALAR, L_VALUE}; -use crate::circuit::gadget::ecc::{ +use halo2_gadgets::ecc::{ chip::{BaseFieldElem, FixedPoint, FullScalar, ShortScalar}, FixedPoints, }; diff --git a/src/constants/fixed_bases/commit_ivk_r.rs b/src/constants/fixed_bases/commit_ivk_r.rs index d4b23ae7..38a47b4c 100644 --- a/src/constants/fixed_bases/commit_ivk_r.rs +++ b/src/constants/fixed_bases/commit_ivk_r.rs @@ -2930,9 +2930,11 @@ pub fn generator() -> pallas::Affine { mod tests { use super::super::{COMMIT_IVK_PERSONALIZATION, NUM_WINDOWS}; use super::*; - use crate::circuit::gadget::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; - use crate::primitives::sinsemilla::CommitDomain; use group::Curve; + use halo2_gadgets::{ + ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}, + primitives::sinsemilla::CommitDomain, + }; use pasta_curves::{arithmetic::CurveAffine, pallas}; #[test] diff --git a/src/constants/fixed_bases/note_commit_r.rs b/src/constants/fixed_bases/note_commit_r.rs index 179f4af8..a35a2a37 100644 --- a/src/constants/fixed_bases/note_commit_r.rs +++ b/src/constants/fixed_bases/note_commit_r.rs @@ -2930,8 +2930,10 @@ pub fn generator() -> pallas::Affine { mod tests { use super::super::{NOTE_COMMITMENT_PERSONALIZATION, NUM_WINDOWS}; use super::*; - use crate::circuit::gadget::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; - use crate::primitives::sinsemilla::CommitDomain; + use halo2_gadgets::{ + ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}, + primitives::sinsemilla::CommitDomain, + }; use group::Curve; use pasta_curves::{arithmetic::CurveAffine, pallas}; diff --git a/src/constants/fixed_bases/nullifier_k.rs b/src/constants/fixed_bases/nullifier_k.rs index 0f494984..8e1338d9 100644 --- a/src/constants/fixed_bases/nullifier_k.rs +++ b/src/constants/fixed_bases/nullifier_k.rs @@ -2929,8 +2929,8 @@ pub fn generator() -> pallas::Affine { mod tests { use super::super::{NUM_WINDOWS, ORCHARD_PERSONALIZATION}; use super::*; - use crate::circuit::gadget::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use group::Curve; + use halo2_gadgets::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use pasta_curves::{arithmetic::CurveExt, pallas}; #[test] diff --git a/src/constants/fixed_bases/spend_auth_g.rs b/src/constants/fixed_bases/spend_auth_g.rs index b7daf323..b4a48e9f 100644 --- a/src/constants/fixed_bases/spend_auth_g.rs +++ b/src/constants/fixed_bases/spend_auth_g.rs @@ -2931,8 +2931,8 @@ pub fn generator() -> pallas::Affine { mod tests { use super::super::{NUM_WINDOWS, ORCHARD_PERSONALIZATION}; use super::*; - use crate::circuit::gadget::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use group::Curve; + use halo2_gadgets::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use pasta_curves::{ arithmetic::{CurveAffine, CurveExt}, pallas, diff --git a/src/constants/fixed_bases/value_commit_r.rs b/src/constants/fixed_bases/value_commit_r.rs index f25a369a..088cebe7 100644 --- a/src/constants/fixed_bases/value_commit_r.rs +++ b/src/constants/fixed_bases/value_commit_r.rs @@ -2931,8 +2931,8 @@ pub fn generator() -> pallas::Affine { mod tests { use super::super::{NUM_WINDOWS, VALUE_COMMITMENT_PERSONALIZATION}; use super::*; - use crate::circuit::gadget::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use group::Curve; + use halo2_gadgets::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use pasta_curves::{ arithmetic::{CurveAffine, CurveExt}, pallas, diff --git a/src/constants/fixed_bases/value_commit_v.rs b/src/constants/fixed_bases/value_commit_v.rs index 83cbe37a..998e087f 100644 --- a/src/constants/fixed_bases/value_commit_v.rs +++ b/src/constants/fixed_bases/value_commit_v.rs @@ -784,8 +784,8 @@ pub fn generator() -> pallas::Affine { mod tests { use super::super::{NUM_WINDOWS_SHORT, VALUE_COMMITMENT_PERSONALIZATION}; use super::*; - use crate::circuit::gadget::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use group::Curve; + use halo2_gadgets::ecc::chip::constants::{test_lagrange_coeffs, test_zs_and_us}; use pasta_curves::{ arithmetic::{CurveAffine, CurveExt}, pallas, diff --git a/src/constants/sinsemilla.rs b/src/constants/sinsemilla.rs index d15d91da..5ac70012 100644 --- a/src/constants/sinsemilla.rs +++ b/src/constants/sinsemilla.rs @@ -1,12 +1,10 @@ //! Sinsemilla generators use super::{OrchardFixedBases, OrchardFixedBasesFull}; -use crate::circuit::gadget::sinsemilla::{CommitDomains, HashDomains}; use crate::spec::i2lebsp; +use halo2_gadgets::sinsemilla::{CommitDomains, HashDomains}; -use pasta_curves::{ - arithmetic::{CurveAffine, FieldExt}, - pallas, -}; +use group::ff::PrimeField; +use pasta_curves::{arithmetic::CurveAffine, pallas}; /// Number of bits of each message piece in $\mathsf{SinsemillaHashToPoint}$ pub const K: usize = 10; @@ -89,18 +87,18 @@ impl HashDomains for OrchardHashDomains { fn Q(&self) -> pallas::Affine { match self { OrchardHashDomains::CommitIvk => pallas::Affine::from_xy( - pallas::Base::from_bytes(&Q_COMMIT_IVK_M_GENERATOR.0).unwrap(), - pallas::Base::from_bytes(&Q_COMMIT_IVK_M_GENERATOR.1).unwrap(), + pallas::Base::from_repr(Q_COMMIT_IVK_M_GENERATOR.0).unwrap(), + pallas::Base::from_repr(Q_COMMIT_IVK_M_GENERATOR.1).unwrap(), ) .unwrap(), OrchardHashDomains::NoteCommit => pallas::Affine::from_xy( - pallas::Base::from_bytes(&Q_NOTE_COMMITMENT_M_GENERATOR.0).unwrap(), - pallas::Base::from_bytes(&Q_NOTE_COMMITMENT_M_GENERATOR.1).unwrap(), + pallas::Base::from_repr(Q_NOTE_COMMITMENT_M_GENERATOR.0).unwrap(), + pallas::Base::from_repr(Q_NOTE_COMMITMENT_M_GENERATOR.1).unwrap(), ) .unwrap(), OrchardHashDomains::MerkleCrh => pallas::Affine::from_xy( - pallas::Base::from_bytes(&Q_MERKLE_CRH.0).unwrap(), - pallas::Base::from_bytes(&Q_MERKLE_CRH.1).unwrap(), + pallas::Base::from_repr(Q_MERKLE_CRH.0).unwrap(), + pallas::Base::from_repr(Q_MERKLE_CRH.1).unwrap(), ) .unwrap(), } @@ -136,10 +134,10 @@ mod tests { fixed_bases::{COMMIT_IVK_PERSONALIZATION, NOTE_COMMITMENT_PERSONALIZATION}, sinsemilla::MERKLE_CRH_PERSONALIZATION, }; - use crate::primitives::sinsemilla::{CommitDomain, HashDomain}; use group::{ff::PrimeField, Curve}; - use halo2::arithmetic::CurveAffine; - use halo2::pasta::pallas; + use halo2_gadgets::primitives::sinsemilla::{CommitDomain, HashDomain}; + use halo2_proofs::arithmetic::CurveAffine; + use halo2_proofs::pasta::pallas; use rand::{self, rngs::OsRng, Rng}; #[test] diff --git a/src/note/commitment.rs b/src/note/commitment.rs index 05636dce..8fc124ec 100644 --- a/src/note/commitment.rs +++ b/src/note/commitment.rs @@ -7,10 +7,10 @@ use subtle::{ConstantTimeEq, CtOption}; use crate::{ constants::{fixed_bases::NOTE_COMMITMENT_PERSONALIZATION, L_ORCHARD_BASE}, - primitives::sinsemilla, spec::extract_p, value::NoteValue, }; +use halo2_gadgets::primitives::sinsemilla; #[derive(Debug)] pub(crate) struct NoteCommitTrapdoor(pub(super) pallas::Scalar); diff --git a/src/note/nullifier.rs b/src/note/nullifier.rs index f1b8e4fe..db2c583d 100644 --- a/src/note/nullifier.rs +++ b/src/note/nullifier.rs @@ -1,5 +1,5 @@ use group::{ff::PrimeField, Group}; -use halo2::arithmetic::CurveExt; +use halo2_proofs::arithmetic::CurveExt; use pasta_curves::pallas; use rand::RngCore; use subtle::CtOption; diff --git a/src/primitives.rs b/src/primitives.rs index 25e8142f..42a01fe4 100644 --- a/src/primitives.rs +++ b/src/primitives.rs @@ -4,6 +4,4 @@ // - EphemeralPublicKey // - EphemeralSecretKey -pub mod poseidon; pub mod redpallas; -pub mod sinsemilla; diff --git a/src/primitives/poseidon.rs b/src/primitives/poseidon.rs deleted file mode 100644 index 1f3922c7..00000000 --- a/src/primitives/poseidon.rs +++ /dev/null @@ -1,397 +0,0 @@ -//! The Poseidon algebraic hash function. - -use std::array; -use std::convert::TryInto; -use std::fmt; -use std::iter; -use std::marker::PhantomData; - -use halo2::arithmetic::FieldExt; - -pub(crate) mod fp; -pub(crate) mod fq; -pub(crate) mod grain; -pub(crate) mod mds; - -#[cfg(test)] -pub(crate) mod test_vectors; - -mod p128pow5t3; -pub use p128pow5t3::P128Pow5T3; - -use grain::SboxType; - -/// The type used to hold permutation state. -pub(crate) type State = [F; T]; - -/// The type used to hold sponge rate. -pub(crate) type SpongeRate = [Option; RATE]; - -/// The type used to hold the MDS matrix and its inverse. -pub(crate) type Mds = [[F; T]; T]; - -/// A specification for a Poseidon permutation. -pub trait Spec: fmt::Debug { - /// The number of full rounds for this specification. - /// - /// This must be an even number. - fn full_rounds() -> usize; - - /// The number of partial rounds for this specification. - fn partial_rounds() -> usize; - - /// The S-box for this specification. - fn sbox(val: F) -> F; - - /// Side-loaded index of the first correct and secure MDS that will be generated by - /// the reference implementation. - /// - /// This is used by the default implementation of [`Spec::constants`]. If you are - /// hard-coding the constants, you may leave this unimplemented. - fn secure_mds() -> usize; - - /// Generates `(round_constants, mds, mds^-1)` corresponding to this specification. - fn constants() -> (Vec<[F; T]>, Mds, Mds) { - let r_f = Self::full_rounds(); - let r_p = Self::partial_rounds(); - - let mut grain = grain::Grain::new(SboxType::Pow, T as u16, r_f as u16, r_p as u16); - - let round_constants = (0..(r_f + r_p)) - .map(|_| { - let mut rc_row = [F::zero(); T]; - for (rc, value) in rc_row - .iter_mut() - .zip((0..T).map(|_| grain.next_field_element())) - { - *rc = value; - } - rc_row - }) - .collect(); - - let (mds, mds_inv) = mds::generate_mds::(&mut grain, Self::secure_mds()); - - (round_constants, mds, mds_inv) - } -} - -/// Runs the Poseidon permutation on the given state. -pub(crate) fn permute, const T: usize, const RATE: usize>( - state: &mut State, - mds: &Mds, - round_constants: &[[F; T]], -) { - let r_f = S::full_rounds() / 2; - let r_p = S::partial_rounds(); - - let apply_mds = |state: &mut State| { - let mut new_state = [F::zero(); T]; - // Matrix multiplication - #[allow(clippy::needless_range_loop)] - for i in 0..T { - for j in 0..T { - new_state[i] += mds[i][j] * state[j]; - } - } - *state = new_state; - }; - - let full_round = |state: &mut State, rcs: &[F; T]| { - for (word, rc) in state.iter_mut().zip(rcs.iter()) { - *word = S::sbox(*word + rc); - } - apply_mds(state); - }; - - let part_round = |state: &mut State, rcs: &[F; T]| { - for (word, rc) in state.iter_mut().zip(rcs.iter()) { - *word += rc; - } - // In a partial round, the S-box is only applied to the first state word. - state[0] = S::sbox(state[0]); - apply_mds(state); - }; - - iter::empty() - .chain(iter::repeat(&full_round as &dyn Fn(&mut State, &[F; T])).take(r_f)) - .chain(iter::repeat(&part_round as &dyn Fn(&mut State, &[F; T])).take(r_p)) - .chain(iter::repeat(&full_round as &dyn Fn(&mut State, &[F; T])).take(r_f)) - .zip(round_constants.iter()) - .fold(state, |state, (round, rcs)| { - round(state, rcs); - state - }); -} - -fn poseidon_sponge, const T: usize, const RATE: usize>( - state: &mut State, - input: Option<&Absorbing>, - mds_matrix: &Mds, - round_constants: &[[F; T]], -) -> Squeezing { - if let Some(Absorbing(input)) = input { - // `Iterator::zip` short-circuits when one iterator completes, so this will only - // mutate the rate portion of the state. - for (word, value) in state.iter_mut().zip(input.iter()) { - *word += value.expect("poseidon_sponge is called with a padded input"); - } - } - - permute::(state, mds_matrix, round_constants); - - let mut output = [None; RATE]; - for (word, value) in output.iter_mut().zip(state.iter()) { - *word = Some(*value); - } - Squeezing(output) -} - -mod private { - pub trait SealedSpongeMode {} - impl SealedSpongeMode for super::Absorbing {} - impl SealedSpongeMode for super::Squeezing {} -} - -/// The state of the `Sponge`. -pub trait SpongeMode: private::SealedSpongeMode {} - -/// The absorbing state of the `Sponge`. -#[derive(Debug)] -pub struct Absorbing(pub(crate) SpongeRate); - -/// The squeezing state of the `Sponge`. -#[derive(Debug)] -pub struct Squeezing(pub(crate) SpongeRate); - -impl SpongeMode for Absorbing {} -impl SpongeMode for Squeezing {} - -impl Absorbing { - pub(crate) fn init_with(val: F) -> Self { - Self( - iter::once(Some(val)) - .chain((1..RATE).map(|_| None)) - .collect::>() - .try_into() - .unwrap(), - ) - } -} - -/// A Poseidon sponge. -pub(crate) struct Sponge< - F: FieldExt, - S: Spec, - M: SpongeMode, - const T: usize, - const RATE: usize, -> { - mode: M, - state: State, - mds_matrix: Mds, - round_constants: Vec<[F; T]>, - _marker: PhantomData, -} - -impl, const T: usize, const RATE: usize> - Sponge, T, RATE> -{ - /// Constructs a new sponge for the given Poseidon specification. - pub(crate) fn new(initial_capacity_element: F) -> Self { - let (round_constants, mds_matrix, _) = S::constants(); - - let mode = Absorbing([None; RATE]); - let mut state = [F::zero(); T]; - state[RATE] = initial_capacity_element; - - Sponge { - mode, - state, - mds_matrix, - round_constants, - _marker: PhantomData::default(), - } - } - - /// Absorbs an element into the sponge. - pub(crate) fn absorb(&mut self, value: F) { - for entry in self.mode.0.iter_mut() { - if entry.is_none() { - *entry = Some(value); - return; - } - } - - // We've already absorbed as many elements as we can - let _ = poseidon_sponge::( - &mut self.state, - Some(&self.mode), - &self.mds_matrix, - &self.round_constants, - ); - self.mode = Absorbing::init_with(value); - } - - /// Transitions the sponge into its squeezing state. - pub(crate) fn finish_absorbing(mut self) -> Sponge, T, RATE> { - let mode = poseidon_sponge::( - &mut self.state, - Some(&self.mode), - &self.mds_matrix, - &self.round_constants, - ); - - Sponge { - mode, - state: self.state, - mds_matrix: self.mds_matrix, - round_constants: self.round_constants, - _marker: PhantomData::default(), - } - } -} - -impl, const T: usize, const RATE: usize> - Sponge, T, RATE> -{ - /// Squeezes an element from the sponge. - pub(crate) fn squeeze(&mut self) -> F { - loop { - for entry in self.mode.0.iter_mut() { - if let Some(e) = entry.take() { - return e; - } - } - - // We've already squeezed out all available elements - self.mode = poseidon_sponge::( - &mut self.state, - None, - &self.mds_matrix, - &self.round_constants, - ); - } - } -} - -/// A domain in which a Poseidon hash function is being used. -pub trait Domain { - /// Iterator that outputs padding field elements. - type Padding: IntoIterator; - - /// The name of this domain, for debug formatting purposes. - fn name() -> String; - - /// The initial capacity element, encoding this domain. - fn initial_capacity_element() -> F; - - /// Returns the padding to be appended to the input. - fn padding(input_len: usize) -> Self::Padding; -} - -/// A Poseidon hash function used with constant input length. -/// -/// Domain specified in section 4.2 of https://eprint.iacr.org/2019/458.pdf -#[derive(Clone, Copy, Debug)] -pub struct ConstantLength; - -impl Domain for ConstantLength { - type Padding = iter::Take>; - - fn name() -> String { - format!("ConstantLength<{}>", L) - } - - fn initial_capacity_element() -> F { - // Capacity value is $length \cdot 2^64 + (o-1)$ where o is the output length. - // We hard-code an output length of 1. - F::from_u128((L as u128) << 64) - } - - fn padding(input_len: usize) -> Self::Padding { - assert_eq!(input_len, L); - // For constant-input-length hashing, we pad the input with zeroes to a multiple - // of RATE. On its own this would not be sponge-compliant padding, but the - // Poseidon authors encode the constant length into the capacity element, ensuring - // that inputs of different lengths do not share the same permutation. - let k = (L + RATE - 1) / RATE; - iter::repeat(F::zero()).take(k * RATE - L) - } -} - -/// A Poseidon hash function, built around a sponge. -pub struct Hash< - F: FieldExt, - S: Spec, - D: Domain, - const T: usize, - const RATE: usize, -> { - sponge: Sponge, T, RATE>, - _domain: PhantomData, -} - -impl, D: Domain, const T: usize, const RATE: usize> - fmt::Debug for Hash -{ - fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result { - f.debug_struct("Hash") - .field("width", &T) - .field("rate", &RATE) - .field("R_F", &S::full_rounds()) - .field("R_P", &S::partial_rounds()) - .field("domain", &D::name()) - .finish() - } -} - -impl, D: Domain, const T: usize, const RATE: usize> - Hash -{ - /// Initializes a new hasher. - pub fn init() -> Self { - Hash { - sponge: Sponge::new(D::initial_capacity_element()), - _domain: PhantomData::default(), - } - } -} - -impl, const T: usize, const RATE: usize, const L: usize> - Hash, T, RATE> -{ - /// Hashes the given input. - pub fn hash(mut self, message: [F; L]) -> F { - for value in - array::IntoIter::new(message).chain( as Domain>::padding(L)) - { - self.sponge.absorb(value); - } - self.sponge.finish_absorbing().squeeze() - } -} - -#[cfg(test)] -mod tests { - use halo2::arithmetic::FieldExt; - use pasta_curves::pallas; - - use super::{permute, ConstantLength, Hash, P128Pow5T3 as OrchardNullifier, Spec}; - - #[test] - fn orchard_spec_equivalence() { - let message = [pallas::Base::from(6), pallas::Base::from(42)]; - - let (round_constants, mds, _) = OrchardNullifier::constants(); - - let hasher = Hash::<_, OrchardNullifier, ConstantLength<2>, 3, 2>::init(); - let result = hasher.hash(message); - - // The result should be equivalent to just directly applying the permutation and - // taking the first state element as the output. - let mut state = [message[0], message[1], pallas::Base::from_u128(2 << 64)]; - permute::<_, OrchardNullifier, 3, 2>(&mut state, &mds, &round_constants); - assert_eq!(state[0], result); - } -} diff --git a/src/primitives/poseidon/fp.rs b/src/primitives/poseidon/fp.rs deleted file mode 100644 index 7e2a117e..00000000 --- a/src/primitives/poseidon/fp.rs +++ /dev/null @@ -1,1426 +0,0 @@ -//! https://github.com/daira/pasta-hadeshash -//! -//! $ sage generate_parameters_grain.sage 1 0 255 3 8 56 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001 -use pasta_curves::pallas; - -// Number of round constants: 192 -// Round constants for GF(p): -pub(crate) const ROUND_CONSTANTS: [[pallas::Base; 3]; 64] = [ - [ - pallas::Base::from_raw([ - 0x5753_8c25_9642_6303, - 0x4e71_162f_3100_3b70, - 0x353f_628f_76d1_10f3, - 0x360d_7470_611e_473d, - ]), - pallas::Base::from_raw([ - 0xbdb7_4213_bf63_188b, - 0x4908_ac2f_12eb_e06f, - 0x5dc3_c6c5_febf_aa31, - 0x2bab_94d7_ae22_2d13, - ]), - pallas::Base::from_raw([ - 0x0939_d927_53cc_5dc8, - 0xef77_e7d7_3676_6c5d, - 0x2bf0_3e1a_29aa_871f, - 0x150c_93fe_f652_fb1c, - ]), - ], - [ - pallas::Base::from_raw([ - 0x1425_9dce_5377_82b2, - 0x03cc_0a60_141e_894e, - 0x955d_55db_56dc_57c1, - 0x3270_661e_6892_8b3a, - ]), - pallas::Base::from_raw([ - 0xce9f_b9ff_c345_afb3, - 0xb407_c370_f2b5_a1cc, - 0xa0b7_afe4_e205_7299, - 0x073f_116f_0412_2e25, - ]), - pallas::Base::from_raw([ - 0x8eba_d76f_c715_54d8, - 0x55c9_cd20_61ae_93ca, - 0x7aff_d09c_1f53_f5fd, - 0x2a32_ec5c_4ee5_b183, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2d8c_cbe2_92ef_eead, - 0x634d_24fc_6e25_59f2, - 0x651e_2cfc_7406_28ca, - 0x2703_26ee_039d_f19e, - ]), - pallas::Base::from_raw([ - 0xa068_fc37_c182_e274, - 0x8af8_95bc_e012_f182, - 0xdc10_0fe7_fcfa_5491, - 0x27c6_642a_c633_bc66, - ]), - pallas::Base::from_raw([ - 0x9ca1_8682_e26d_7ff9, - 0x710e_1fb6_ab97_6a45, - 0xd27f_5739_6989_129d, - 0x1bdf_d8b0_1401_c70a, - ]), - ], - [ - pallas::Base::from_raw([ - 0xc832_d824_261a_35ea, - 0xf4f6_fb3f_9054_d373, - 0x14b9_d6a9_c84d_d678, - 0x162a_14c6_2f9a_89b8, - ]), - pallas::Base::from_raw([ - 0xf798_2466_7b5b_6bec, - 0xac0a_1fc7_1e2c_f0c0, - 0x2af6_f79e_3127_feea, - 0x2d19_3e0f_76de_586b, - ]), - pallas::Base::from_raw([ - 0x5d0b_f58d_c8a4_aa94, - 0x4fef_f829_8499_0ff8, - 0x8169_6ef1_104e_674f, - 0x044c_a3cc_4a85_d73b, - ]), - ], - [ - pallas::Base::from_raw([ - 0x6198_785f_0cd6_b9af, - 0xb8d9_e2d4_f314_f46f, - 0x1d04_5341_6d3e_235c, - 0x1cba_f2b3_71da_c6a8, - ]), - pallas::Base::from_raw([ - 0x343e_0761_0f3f_ede5, - 0x293c_4ab0_38fd_bbdc, - 0x0e6c_49d0_61b6_b5f4, - 0x1d5b_2777_692c_205b, - ]), - pallas::Base::from_raw([ - 0xf60e_971b_8d73_b04f, - 0x06a9_adb0_c1e6_f962, - 0xaa30_535b_dd74_9a7e, - 0x2e9b_dbba_3dd3_4bff, - ]), - ], - [ - pallas::Base::from_raw([ - 0x035a_1366_1f22_418b, - 0xde40_fbe2_6d04_7b05, - 0x8bd5_bae3_6969_299f, - 0x2de1_1886_b180_11ca, - ]), - pallas::Base::from_raw([ - 0xbc99_8884_ba96_a721, - 0x2ab9_395c_449b_e947, - 0x0d5b_4a3f_1841_dcd8, - 0x2e07_de17_80b8_a70d, - ]), - pallas::Base::from_raw([ - 0x825e_4c2b_b749_25ca, - 0x2504_40a9_9d6b_8af3, - 0xbbdb_63db_d52d_ad16, - 0x0f69_f185_4d20_ca0c, - ]), - ], - [ - pallas::Base::from_raw([ - 0x816c_0594_22dc_705e, - 0x6ce5_1135_07f9_6de9, - 0x0d13_5dc6_39fb_09a4, - 0x2eb1_b254_17fe_1767, - ]), - pallas::Base::from_raw([ - 0xb8b1_bdf4_953b_d82c, - 0xff36_c661_d26c_c42d, - 0x8c24_cb44_c3fa_b48a, - 0x115c_d0a0_643c_fb98, - ]), - pallas::Base::from_raw([ - 0xde80_1612_311d_04cd, - 0xbb57_ddf1_4e0f_958a, - 0x066d_7378_b999_868b, - 0x26ca_293f_7b2c_462d, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf520_9d14_b248_20ca, - 0x0f16_0bf9_f71e_967f, - 0x2a83_0aa1_6241_2cd9, - 0x17bf_1b93_c4c7_e01a, - ]), - pallas::Base::from_raw([ - 0x05c8_6f2e_7dc2_93c5, - 0xe03c_0354_bd8c_fd38, - 0xa24f_8456_369c_85df, - 0x35b4_1a7a_c4f3_c571, - ]), - pallas::Base::from_raw([ - 0x72ac_156a_f435_d09e, - 0x64e1_4d3b_eb2d_ddde, - 0x4359_2799_4849_bea9, - 0x3b14_8008_0523_c439, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2716_18d8_74b1_4c6d, - 0x08e2_8644_2a2d_3eb2, - 0x4950_856d_c907_d575, - 0x2cc6_8100_31dc_1b0d, - ]), - pallas::Base::from_raw([ - 0x91f3_18c0_9f0c_b566, - 0x9e51_7aa9_3b78_341d, - 0x0596_18e2_afd2_ef99, - 0x25bd_bbed_a1bd_e8c1, - ]), - pallas::Base::from_raw([ - 0xc631_3487_073f_7f7b, - 0x2a5e_d0a2_7b61_926c, - 0xb95f_33c2_5dde_8ac0, - 0x392a_4a87_58e0_6ee8, - ]), - ], - [ - pallas::Base::from_raw([ - 0xe7bb_cef0_2eb5_866c, - 0x5e6a_6fd1_5db8_9365, - 0x9aa6_111f_4de0_0948, - 0x272a_5587_8a08_442b, - ]), - pallas::Base::from_raw([ - 0x9b92_5b3c_5b21_e0e2, - 0xa6eb_ba01_1694_dd12, - 0xefa1_3c4e_60e2_6239, - 0x2d5b_308b_0cf0_2cdf, - ]), - pallas::Base::from_raw([ - 0xef38_c57c_3116_73ac, - 0x44df_f42f_18b4_6c56, - 0xdd5d_293d_72e2_e5f2, - 0x1654_9fc6_af2f_3b72, - ]), - ], - [ - pallas::Base::from_raw([ - 0x9b71_26d9_b468_60df, - 0x7639_8265_3442_0311, - 0xfa69_c3a2_ad52_f76d, - 0x1b10_bb7a_82af_ce39, - ]), - pallas::Base::from_raw([ - 0x90d2_7f6a_00b7_dfc8, - 0xd1b3_6968_ba04_05c0, - 0xc79c_2df7_dc98_a3be, - 0x0f1e_7505_ebd9_1d2f, - ]), - pallas::Base::from_raw([ - 0xff45_7756_b819_bb20, - 0x797f_d6e3_f18e_b1ca, - 0x537a_7497_a3b4_3f46, - 0x2f31_3faf_0d3f_6187, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf0bc_3e73_2ecb_26f6, - 0x5cad_11eb_f0f7_ceb8, - 0xfa3c_a61c_0ed1_5bc5, - 0x3a5c_bb6d_e450_b481, - ]), - pallas::Base::from_raw([ - 0x8655_27cb_ca91_5982, - 0x51ba_a6e2_0f89_2b62, - 0xd920_86e2_53b4_39d6, - 0x3dab_54bc_9bef_688d, - ]), - pallas::Base::from_raw([ - 0x3680_45ac_f2b7_1ae3, - 0x4c24_b33b_410f_efd4, - 0xe280_d316_7012_3f74, - 0x06db_fb42_b979_884d, - ]), - ], - [ - pallas::Base::from_raw([ - 0xa7fc_32d2_2f18_b9d3, - 0xb8d2_de72_e3d2_c9ec, - 0xc6f0_39ea_1973_a63e, - 0x068d_6b46_08aa_e810, - ]), - pallas::Base::from_raw([ - 0x2b5d_fcc5_5725_55df, - 0xb868_a7d7_e1f1_f69a, - 0x0ee2_58c9_b8fd_fccd, - 0x366e_bfaf_a3ad_381c, - ]), - pallas::Base::from_raw([ - 0xe6bc_229e_95bc_76b1, - 0x7ef6_6d89_d044_d022, - 0x04db_3024_f41d_3f56, - 0x3967_8f65_512f_1ee4, - ]), - ], - [ - pallas::Base::from_raw([ - 0xe534_c88f_e53d_85fe, - 0xcf82_c25f_99dc_01a4, - 0xd58b_7750_a3bc_2fe1, - 0x2166_8f01_6a80_63c0, - ]), - pallas::Base::from_raw([ - 0x4bef_429b_c533_1608, - 0xe34d_ea56_439f_e195, - 0x1bc7_4936_3e98_a768, - 0x39d0_0994_a8a5_046a, - ]), - pallas::Base::from_raw([ - 0x770c_956f_60d8_81b3, - 0xb163_d416_05d3_9f99, - 0x6b20_3bbe_12fb_3425, - 0x1f9d_bdc3_f843_1263, - ]), - ], - [ - pallas::Base::from_raw([ - 0x9794_a9f7_c336_eab2, - 0xbe0b_c829_fe5e_66c6, - 0xe5f1_7b9e_0ee0_cab6, - 0x0277_45a9_cddf_ad95, - ]), - pallas::Base::from_raw([ - 0x5202_5657_abd8_aee0, - 0x2fa4_3fe2_0a45_c78d, - 0x788d_695c_61e9_3212, - 0x1cec_0803_c504_b635, - ]), - pallas::Base::from_raw([ - 0xd387_2a95_59a0_3a73, - 0xed50_82c8_dbf3_1365, - 0x7207_7448_ef87_cc6e, - 0x1235_23d7_5e9f_abc1, - ]), - ], - [ - pallas::Base::from_raw([ - 0x0017_79e3_a1d3_57f4, - 0x27fe_ba35_975e_e7e5, - 0xf419_b848_e5d6_94bf, - 0x1723_d145_2c9c_f02d, - ]), - pallas::Base::from_raw([ - 0x9dab_1ee4_dcf9_6622, - 0x21c3_f776_f572_836d, - 0xfcc0_573d_7e61_3694, - 0x1739_d180_a160_10bd, - ]), - pallas::Base::from_raw([ - 0x7029_0452_042d_048d, - 0xfafa_96fb_eb0a_b893, - 0xacce_3239_1794_b627, - 0x2d4e_6354_da9c_c554, - ]), - ], - [ - pallas::Base::from_raw([ - 0x670b_cf6f_8b48_5dcd, - 0x8f3b_d43f_9926_0621, - 0x4a86_9553_c9d0_07f8, - 0x153e_e614_2e53_5e33, - ]), - pallas::Base::from_raw([ - 0xd258_d2e2_b778_2172, - 0x968a_d442_4af8_3700, - 0x635e_f7e7_a430_b486, - 0x0c45_bfd3_a69a_aa65, - ]), - pallas::Base::from_raw([ - 0x0e56_33d2_51f7_3307, - 0x6897_ac0a_8ffa_5ff1, - 0xf2d5_6aec_8314_4600, - 0x0adf_d53b_256a_6957, - ]), - ], - [ - pallas::Base::from_raw([ - 0xac9d_36a8_b751_6d63, - 0x3f87_b28f_1c1b_e4bd, - 0x8cd1_726b_7cba_b8ee, - 0x315d_2ac8_ebdb_ac3c, - ]), - pallas::Base::from_raw([ - 0x299c_e44e_a423_d8e1, - 0xc9bb_60d1_f695_9879, - 0xcfae_c23d_2b16_883f, - 0x1b84_7271_2d02_eef4, - ]), - pallas::Base::from_raw([ - 0xc4a5_4041_98ad_f70c, - 0x367d_2c54_e369_28c9, - 0xbd0b_70fa_2255_eb6f, - 0x3c1c_d07e_fda6_ff24, - ]), - ], - [ - pallas::Base::from_raw([ - 0xbbe5_23ae_f9ab_107a, - 0x4a16_073f_738f_7e0c, - 0x687f_4e51_b2e1_dcd3, - 0x1360_52d2_6bb3_d373, - ]), - pallas::Base::from_raw([ - 0x676c_36c2_4ef9_67dd, - 0x7b3c_fbb8_7303_2681, - 0xc1bd_d859_a123_2a1d, - 0x16c9_6bee_f6a0_a848, - ]), - pallas::Base::from_raw([ - 0x067e_ec7f_2d63_40c4, - 0x0123_87ba_b4f1_662d, - 0x2ab7_fed8_f499_a9fb, - 0x284b_38c5_7ff6_5c26, - ]), - ], - [ - pallas::Base::from_raw([ - 0xaf1d_ff20_4c92_2f86, - 0xfc06_772c_1c04_11a6, - 0x39e2_4219_8897_d17c, - 0x0c59_93d1_75e8_1f66, - ]), - pallas::Base::from_raw([ - 0xbbf5_3f67_b1f8_7b15, - 0xf248_87ad_48e1_7759, - 0xfcda_655d_1ba9_c8f9, - 0x03bf_7a3f_7bd0_43da, - ]), - pallas::Base::from_raw([ - 0x9b5c_d09e_36d8_be62, - 0x4c8f_9cbe_69f0_e827, - 0xb0cf_9995_67f0_0e73, - 0x3188_fe4e_e9f9_fafb, - ]), - ], - [ - pallas::Base::from_raw([ - 0xafea_99a2_ec6c_595a, - 0x3af5_bf77_c1c4_2652, - 0x5a39_768c_480d_61e1, - 0x171f_528c_cf65_8437, - ]), - pallas::Base::from_raw([ - 0x5a05_63b9_b8e9_f1d5, - 0x812c_3286_ee70_0067, - 0x196e_4185_9b35_ef88, - 0x12f4_175c_4ab4_5afc, - ]), - pallas::Base::from_raw([ - 0x0e74_d4d3_6911_8b79, - 0x7e23_e1aa_be96_cfab, - 0x8f8f_dcf8_00a9_ac69, - 0x3a50_9e15_5cb7_ebfd, - ]), - ], - [ - pallas::Base::from_raw([ - 0x9871_2c65_678c_fd30, - 0x984b_c8f2_e4c1_b69e, - 0x1a89_920e_2504_c3b3, - 0x10f2_a685_df4a_27c8, - ]), - pallas::Base::from_raw([ - 0xe8a1_6728_cc9d_4918, - 0x5457_3c93_33c5_6321, - 0x1d8d_93d5_4ab9_1a0e, - 0x09e5_f497_90c8_a0e2, - ]), - pallas::Base::from_raw([ - 0x609a_7403_47cf_5fea, - 0x42d1_7ed6_ee0f_ab7e, - 0x2bf3_5705_d9f8_4a34, - 0x352d_69be_d80e_e3e5, - ]), - ], - [ - pallas::Base::from_raw([ - 0x3a75_8af6_fa84_e0e8, - 0xc634_debd_281b_76a6, - 0x4915_62fa_f2b1_90d3, - 0x058e_e73b_a9f3_f293, - ]), - pallas::Base::from_raw([ - 0x621a_1325_10a4_3904, - 0x092c_b921_19bc_76be, - 0xcd0f_1fc5_5b1a_3250, - 0x232f_99cc_911e_ddd9, - ]), - pallas::Base::from_raw([ - 0xc3b9_7c1e_301b_c213, - 0xf9ef_d52c_a6bc_2961, - 0x86c2_2c6c_5d48_69f0, - 0x201b_eed7_b8f3_ab81, - ]), - ], - [ - pallas::Base::from_raw([ - 0xbf6b_3431_ba94_e9bc, - 0x2938_8842_744a_1210, - 0xa1c9_291d_5860_2f51, - 0x1376_dce6_5800_30c6, - ]), - pallas::Base::from_raw([ - 0x6454_843c_5486_d7b3, - 0x072b_a8b0_2d92_e722, - 0x2b33_56c3_8238_f761, - 0x1793_199e_6fd6_ba34, - ]), - pallas::Base::from_raw([ - 0x06a3_f1d3_b433_311b, - 0x3c66_160d_c62a_acac, - 0x9fee_9c20_c87a_67df, - 0x22de_7a74_88dc_c735, - ]), - ], - [ - pallas::Base::from_raw([ - 0x30d6_e3fd_516b_47a8, - 0xdbe0_b77f_ae77_e1d0, - 0xdf8f_f37f_e2d8_edf8, - 0x3514_d5e9_066b_b160, - ]), - pallas::Base::from_raw([ - 0x1937_7427_137a_81c7, - 0xff45_3d6f_900f_144a, - 0xf919_a00d_abbf_5fa5, - 0x30cd_3006_931a_d636, - ]), - pallas::Base::from_raw([ - 0x5b6a_7422_0692_b506, - 0x8f9e_4b2c_ae2e_bb51, - 0x41f8_1a5c_f613_c8df, - 0x253d_1a5c_5293_4127, - ]), - ], - [ - pallas::Base::from_raw([ - 0x73f6_66cb_86a4_8e8e, - 0x851b_3a59_c990_fafc, - 0xa35e_9613_e7f5_fe92, - 0x035b_461c_02d7_9d19, - ]), - pallas::Base::from_raw([ - 0x7cfb_f86a_3aa0_4780, - 0x92b1_283c_2d5f_ccde, - 0x5bc0_0eed_d56b_93e0, - 0x23a9_9280_79d1_75bd, - ]), - pallas::Base::from_raw([ - 0xf1e4_ccd7_3fa0_0a82, - 0xb5e2_ea34_36ee_f957, - 0xf159_4a07_63c6_11ab, - 0x13a7_785a_e134_ea92, - ]), - ], - [ - pallas::Base::from_raw([ - 0xbbf0_4f52_52de_4279, - 0x3889_c578_6344_6d88, - 0x4962_ae3c_0da1_7e31, - 0x39fc_e308_b7d4_3c57, - ]), - pallas::Base::from_raw([ - 0x3b57_e344_89b5_3fad, - 0xbef0_0a08_c6ed_38d2, - 0xc0fd_f016_62f6_0d22, - 0x1aae_1883_3f8e_1d3a, - ]), - pallas::Base::from_raw([ - 0x5551_3e03_3398_513f, - 0x27c1_b3fd_8f85_d8a8, - 0x8b2e_80c0_64fd_83ed, - 0x1a76_1ce8_2400_af01, - ]), - ], - [ - pallas::Base::from_raw([ - 0x5244_ca74_9b73_e481, - 0xdcf6_af28_30a5_0287, - 0x16dd_1a87_ca22_e1cc, - 0x275a_03e4_5add_a7c3, - ]), - pallas::Base::from_raw([ - 0x58a2_53cf_b6a9_5786, - 0x07e5_6145_3fc5_648b, - 0xeb08_e47e_5fea_bcf8, - 0x2e5a_10f0_8b5a_b8bb, - ]), - pallas::Base::from_raw([ - 0xe033_d82c_efe7_8ce3, - 0xc141_a5b6_d594_bec4, - 0xb84e_9c33_3b29_32f1, - 0x1459_cb85_8720_8473, - ]), - ], - [ - pallas::Base::from_raw([ - 0x5cec_7e7b_338f_be1b, - 0x52f9_332f_bffc_fbbd, - 0x7b92_ce81_0e14_a400, - 0x193a_e592_1d78_b5de, - ]), - pallas::Base::from_raw([ - 0x6022_4be6_7248_e82c, - 0x3743_84f4_a072_8205, - 0x8911_1fb2_c466_0281, - 0x3097_898a_5d00_11a4, - ]), - pallas::Base::from_raw([ - 0x5499_80de_8629_30f5, - 0x1979_b2d1_c465_b4d9, - 0x5717_82fd_96ce_54b4, - 0x378d_97bf_8c86_4ae7, - ]), - ], - [ - pallas::Base::from_raw([ - 0x37ea_32a9_71d1_7884, - 0xdbc7_f5cb_4609_3421, - 0x8813_6287_ce37_6b08, - 0x2eb0_4ea7_c01d_97ec, - ]), - pallas::Base::from_raw([ - 0xead3_726f_1af2_e7b0, - 0x861c_bda4_7680_4e6c, - 0x2302_a1c2_2e49_baec, - 0x3642_5347_ea03_f641, - ]), - pallas::Base::from_raw([ - 0xecd6_27e5_9590_d09e, - 0x3f5b_5ca5_a19a_9701, - 0xcc99_6cd8_5c98_a1d8, - 0x26b7_2df4_7408_ad42, - ]), - ], - [ - pallas::Base::from_raw([ - 0x59be_ce31_f0a3_1e95, - 0xde01_212e_e458_8f89, - 0x1f05_636c_610b_89aa, - 0x1301_80e4_4e29_24db, - ]), - pallas::Base::from_raw([ - 0x9ea8_e7bc_7926_3550, - 0xdf77_93cc_89e5_b52f, - 0x7327_5aca_ed5f_579c, - 0x219e_9773_7d39_79ba, - ]), - pallas::Base::from_raw([ - 0x9c12_635d_f251_d153, - 0x3b06_72dd_7d42_cbb4, - 0x3461_363f_81c4_89a2, - 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0x0f85_b4ac_2c36_7406, - 0xfa66_1465_c656_ad99, - 0xef5c_08f8_478f_663a, - 0x1af4_7a48_a601_6a49, - ]), - pallas::Base::from_raw([ - 0x0eab_cd87_e7d0_1b15, - 0x1c36_98b0_a2e3_da10, - 0x009d_5733_8c69_3505, - 0x3c8e_e901_956e_3d3f, - ]), - ], - [ - pallas::Base::from_raw([ - 0x8b94_7721_8967_3476, - 0xe10c_e2b7_069f_4dbd, - 0x68d0_b024_f591_b520, - 0x1660_a8cd_e7fe_c553, - ]), - pallas::Base::from_raw([ - 0x9d8d_0f67_fdaa_79d5, - 0x3963_c2c1_f558_6e2f, - 0x1303_9363_34dd_1132, - 0x0f6d_9919_29d5_e4e7, - ]), - pallas::Base::from_raw([ - 0x7a43_3091_e1ce_2d3a, - 0x4e7f_da77_0712_f343, - 0xcc62_5eaa_ab52_b4dc, - 0x02b9_cea1_921c_d9f6, - ]), - ], - [ - pallas::Base::from_raw([ - 0x3797_b2d8_3760_43b3, - 0xd8ca_f468_976f_0472, - 0x214f_7c67_84ac_b565, - 0x14a3_23b9_9b90_0331, - ]), - pallas::Base::from_raw([ - 0x347f_ef2c_00f0_953a, - 0x718b_7fbc_7788_af78, - 0xec01_ea79_642d_5760, - 0x1904_76b5_80cb_9277, - ]), - pallas::Base::from_raw([ - 0xff4e_7e6f_b268_dfd7, - 0x9660_902b_6008_7651, - 0xa424_63d3_0b44_2b6f, - 0x090a_3a9d_869d_2eef, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf983_387e_a045_6203, - 0xe365_0013_04f9_a11e, - 0x0dbe_8fd2_270a_6795, - 0x3877_a955_8636_7567, - ]), - pallas::Base::from_raw([ - 0x39c0_af0f_e01f_4a06, - 0x6011_8c53_a218_1352, - 0x5df3_9a2c_c63d_dc0a, - 0x2d89_4691_240f_e953, - ]), - pallas::Base::from_raw([ - 0x1aca_9eaf_9bba_9850, - 0x5914_e855_eeb4_4aa1, - 0x7ef7_1780_2016_6189, - 0x21b9_c182_92bd_bc59, - ]), - ], - [ - pallas::Base::from_raw([ - 0x33f5_09a7_4ad9_d39b, - 0x272e_1cc6_c36a_2968, - 0x505a_05f2_a6ae_834c, - 0x2fe7_6be7_cff7_23e2, - ]), - pallas::Base::from_raw([ - 0x0df9_fa97_277f_a8b4, - 0xd15b_ff84_0dda_e8a5, - 0x9299_81d7_cfce_253b, - 0x187a_a448_f391_e3ca, - ]), - pallas::Base::from_raw([ - 0xf0c6_6af5_ffc7_3736, - 0x663c_cf7b_2ffe_4b5e, - 0x007a_b3aa_3617_f422, - 0x0b70_83ad_7517_07bf, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2f9b_20f1_fbd4_9791, - 0x1975_b962_f6cb_8e0b, - 0x3bc4_ca99_02c5_2acb, - 0x030d_dbb4_7049_3f16, - ]), - pallas::Base::from_raw([ - 0x3a1c_62ca_8fbf_2525, - 0x8fb8_ab9d_60ea_17b2, - 0x950b_0ab1_8d35_46df, - 0x3130_fbaf_fb5a_a82a, - ]), - pallas::Base::from_raw([ - 0x43a8_7618_0dc3_82e0, - 0x15ce_2ead_2fcd_051e, - 0x4f74_d74b_ac2e_e457, - 0x337f_5447_07c4_30f0, - ]), - ], - [ - pallas::Base::from_raw([ - 0x26de_98a8_736d_1d11, - 0x7d8e_471a_9fb9_5fef, - 0xac9d_91b0_930d_ac75, - 0x3499_7991_9015_394f, - ]), - pallas::Base::from_raw([ - 0xccfc_b618_31d5_c775, - 0x3bf9_3da6_fff3_1d95, - 0x2305_cd7a_921e_c5f1, - 0x027c_c4ef_e3fb_35dd, - ]), - pallas::Base::from_raw([ - 0xc3fa_2629_635d_27de, - 0x67f1_c6b7_3147_64af, - 0x61b7_1a36_9868_2ad2, - 0x037f_9f23_6595_4c5b, - ]), - ], - [ - pallas::Base::from_raw([ - 0x77c5_b024_8483_71ae, - 0x6041_4abe_362d_01c9, - 0x10f1_cc6d_f8b4_bcd7, - 0x1f69_7cac_4d07_feb7, - ]), - pallas::Base::from_raw([ - 0x786a_dd24_4aa0_ef29, - 0x3145_c478_0631_09d6, - 0x26e6_c851_fbd5_72a6, - 0x267a_750f_e5d7_cfbc, - ]), - pallas::Base::from_raw([ - 0x180e_2b4d_3e75_6f65, - 0xaf28_5fa8_2ce4_fae5, - 0x678c_9996_d9a4_72c8, - 0x0c91_feab_4a43_193a, - ]), - ], - [ - pallas::Base::from_raw([ - 0x79c4_7c57_3ac4_10f7, - 0x7e3b_83af_4a4b_a3ba, - 0x2186_c303_8ea0_5e69, - 0x1745_569a_0a3e_3014, - ]), - pallas::Base::from_raw([ - 0x1e03_8852_2696_191f, - 0xfdff_66c6_f3b5_ffe1, - 0xeca5_1207_78a5_6711, - 0x2986_3d54_6e7e_7c0d, - ]), - pallas::Base::from_raw([ - 0x2f22_5e63_66bf_e390, - 0xa79a_03df_8339_94c6, - 0xbf06_bae4_9ef8_53f6, - 0x1148_d6ab_2bd0_0192, - ]), - ], - [ - pallas::Base::from_raw([ - 0xf4f6_331a_8b26_5d15, - 0xf745_f45d_350d_41d4, - 0xe18b_1499_060d_a366, - 0x02e0_e121_b0f3_dfef, - ]), - pallas::Base::from_raw([ - 0x078a_e6aa_1510_54b7, - 0x6904_0173_6d44_a653, - 0xb89e_f73a_40a2_b274, - 0x0d0a_a46e_76a6_a278, - ]), - pallas::Base::from_raw([ - 0x9a4d_532c_7b6e_0958, - 0x392d_de71_0f1f_06db, - 0xeee5_45f3_fa6d_3d08, - 0x1394_3675_b04a_a986, - ]), - ], - [ - pallas::Base::from_raw([ - 0x961f_c818_dcbb_66b5, - 0xc9f2_b325_7530_dafe, - 0xd97a_11d6_3088_f5d9, - 0x2901_ec61_942d_34aa, - ]), - pallas::Base::from_raw([ - 0xfdf5_44b9_63d1_fdc7, - 0x22ff_a2a2_af9f_a3e3, - 0xf431_d544_34a3_e0cf, - 0x2020_4a21_05d2_2e7e, - ]), - pallas::Base::from_raw([ - 0x1211_b9e2_190d_6852, - 0xa004_abe8_e015_28c4, - 0x5c1e_3e9e_27a5_71c3, - 0x3a8a_6282_9512_1d5c, - ]), - ], -]; -// Secure MDS: 0 -// n: 255 -// t: 3 -// N: 765 -// Result Algorithm 1: -// [True, 0] -// Result Algorithm 2: -// [True, None] -// Result Algorithm 3: -// [True, None] -// Prime number: 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001 -// MDS matrix: -pub(crate) const MDS: [[pallas::Base; 3]; 3] = [ - [ - pallas::Base::from_raw([ - 0x323f_2486_d7e1_1b63, - 0x97d7_a0ab_2385_0b56, - 0xb3d5_9fbd_c8c9_ead4, - 0x0ab5_e5b8_74a6_8de7, - ]), - pallas::Base::from_raw([ - 0x8eca_5596_e996_ab5e, - 0x240d_4a7c_bf73_5736, - 0x293f_0f0d_886c_7954, - 0x3191_6628_e58a_5abb, - ]), - pallas::Base::from_raw([ - 0x19d1_cf25_d8e8_345d, - 0xa0a3_b71a_5fb1_5735, - 0xd803_952b_bb36_4fdf, - 0x07c0_45d5_f5e9_e5a6, - ]), - ], - [ - pallas::Base::from_raw([ - 0xd049_cdc8_d085_167c, - 0x3a0a_4640_48bd_770a, - 0xf8e2_4f66_822c_2d9f, - 0x2331_6263_0ebf_9ed7, - ]), - pallas::Base::from_raw([ - 0x4022_7011_3e04_7a2e, - 0x78f8_365c_85bb_ab07, - 0xb366_6454_8d60_957d, - 0x25ca_e259_9892_a8b0, - ]), - pallas::Base::from_raw([ - 0xf84d_806f_685f_747a, - 0x9aad_3d82_62ef_d83f, - 0x7493_8717_989a_1957, - 0x22f5_b5e1_e608_1c97, - ]), - ], - [ - pallas::Base::from_raw([ - 0xfee7_a994_4f84_dbe4, - 0x2168_0eab_c56b_c15d, - 0xf333_aa91_c383_3464, - 0x2e29_dd59_c64b_1037, - ]), - pallas::Base::from_raw([ - 0xc771_effa_4326_3664, - 0xcbea_f48b_3a06_24c3, - 0x92d1_5e7d_ceef_1665, - 0x1d1a_ab4e_c1cd_6788, - ]), - pallas::Base::from_raw([ - 0x1563_9415_f6e8_5ef1, - 0x7587_2c39_b59a_31f6, - 0x51e0_cbea_d655_16b9, - 0x3bf7_6308_6a18_9364, - ]), - ], -]; - -pub(crate) const MDS_INV: [[pallas::Base; 3]; 3] = [ - [ - pallas::Base::from_raw([ - 0xc6de_463c_d140_4e6b, - 0x4543_705f_35e9_8ab5, - 0xcc59_ffd0_0de8_6443, - 0x2cc0_57f3_fa14_687a, - ]), - pallas::Base::from_raw([ - 0x1718_4041_7cab_7576, - 0xfadb_f8ae_7ae2_4796, - 0x5fd7_2b55_df20_8385, - 0x32e7_c439_f2f9_67e5, - ]), - pallas::Base::from_raw([ - 0x9426_45bd_7d44_64e0, - 0x1403_db6f_5030_2040, - 0xf461_778a_bf6c_91fa, - 0x2eae_5df8_c311_5969, - ]), - ], - [ - pallas::Base::from_raw([ - 0xa1ca_1516_a4a1_a6a0, - 0x13f0_74fd_e9a1_8b29, - 0xdb18_b4ae_fe68_d26d, - 0x07bf_3684_8106_7199, - ]), - pallas::Base::from_raw([ - 0xe824_25bc_1b23_a059, - 0xbb1d_6504_0c85_c1bf, - 0x018a_918b_9dac_5dad, - 0x2aec_6906_c63f_3cf1, - ]), - pallas::Base::from_raw([ - 0xe054_1adf_238e_0781, - 0x76b2_a713_9db7_1b36, - 0x1215_944a_64a2_46b2, - 0x0952_e024_3aec_2af0, - ]), - ], - [ - pallas::Base::from_raw([ - 0x2a41_8d8d_73a7_c908, - 0xaef9_112e_952f_dbb5, - 0x723a_63a0_c09d_ab26, - 0x2fcb_ba6f_9159_a219, - ]), - pallas::Base::from_raw([ - 0x76ef_ab42_d4fb_a90b, - 0xc5e4_960d_7424_cd37, - 0xb4dd_d4b4_d645_2256, - 0x1ec7_3725_74f3_851b, - ]), - pallas::Base::from_raw([ - 0xadc8_933c_6f3c_72ee, - 0x87a7_435d_30f8_be81, - 0x3c26_fa4b_7d25_b1e4, - 0x0d0c_2efd_6472_f12a, - ]), - ], -]; diff --git a/src/primitives/poseidon/fq.rs b/src/primitives/poseidon/fq.rs deleted file mode 100644 index 36bd4d66..00000000 --- a/src/primitives/poseidon/fq.rs +++ /dev/null @@ -1,1426 +0,0 @@ -//! https://github.com/daira/pasta-hadeshash -//! -//! sage generate_parameters_grain.sage 1 0 255 3 8 56 0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001 -use pasta_curves::vesta; - -// Number of round constants: 192 -// Round constants for GF(p): -pub(crate) const ROUND_CONSTANTS: [[vesta::Base; 3]; 64] = [ - [ - vesta::Base::from_raw([ - 0x5753_8c25_9642_6303, - 0x4e71_162f_3100_3b70, - 0x353f_628f_76d1_10f3, - 0x360d_7470_611e_473d, - ]), - vesta::Base::from_raw([ - 0xbdb7_4213_bf63_188b, - 0x4908_ac2f_12eb_e06f, - 0x5dc3_c6c5_febf_aa31, - 0x2bab_94d7_ae22_2d13, - ]), - vesta::Base::from_raw([ - 0x0939_d927_53cc_5dc8, - 0xef77_e7d7_3676_6c5d, - 0x2bf0_3e1a_29aa_871f, - 0x150c_93fe_f652_fb1c, - ]), - ], - [ - vesta::Base::from_raw([ - 0x1425_9dce_5377_82b2, - 0x03cc_0a60_141e_894e, - 0x955d_55db_56dc_57c1, - 0x3270_661e_6892_8b3a, - ]), - vesta::Base::from_raw([ - 0xce9f_b9ff_c345_afb3, - 0xb407_c370_f2b5_a1cc, - 0xa0b7_afe4_e205_7299, - 0x073f_116f_0412_2e25, - ]), - vesta::Base::from_raw([ - 0x8eba_d76f_c715_54d8, - 0x55c9_cd20_61ae_93ca, - 0x7aff_d09c_1f53_f5fd, - 0x2a32_ec5c_4ee5_b183, - ]), - ], - [ - vesta::Base::from_raw([ - 0x2d8c_cbe2_92ef_eead, - 0x634d_24fc_6e25_59f2, - 0x651e_2cfc_7406_28ca, - 0x2703_26ee_039d_f19e, - ]), - vesta::Base::from_raw([ - 0xa068_fc37_c182_e274, - 0x8af8_95bc_e012_f182, - 0xdc10_0fe7_fcfa_5491, - 0x27c6_642a_c633_bc66, - ]), - vesta::Base::from_raw([ - 0x9ca1_8682_e26d_7ff9, - 0x710e_1fb6_ab97_6a45, - 0xd27f_5739_6989_129d, - 0x1bdf_d8b0_1401_c70a, - ]), - ], - [ - vesta::Base::from_raw([ - 0xc832_d824_261a_35ea, - 0xf4f6_fb3f_9054_d373, - 0x14b9_d6a9_c84d_d678, - 0x162a_14c6_2f9a_89b8, - ]), - vesta::Base::from_raw([ - 0xf798_2466_7b5b_6bec, - 0xac0a_1fc7_1e2c_f0c0, - 0x2af6_f79e_3127_feea, - 0x2d19_3e0f_76de_586b, - ]), - vesta::Base::from_raw([ - 0x5d0b_f58d_c8a4_aa94, - 0x4fef_f829_8499_0ff8, - 0x8169_6ef1_104e_674f, - 0x044c_a3cc_4a85_d73b, - ]), - ], - [ - vesta::Base::from_raw([ - 0x6198_785f_0cd6_b9af, - 0xb8d9_e2d4_f314_f46f, - 0x1d04_5341_6d3e_235c, - 0x1cba_f2b3_71da_c6a8, - ]), - vesta::Base::from_raw([ - 0x343e_0761_0f3f_ede5, - 0x293c_4ab0_38fd_bbdc, - 0x0e6c_49d0_61b6_b5f4, - 0x1d5b_2777_692c_205b, - ]), - vesta::Base::from_raw([ - 0xf60e_971b_8d73_b04f, - 0x06a9_adb0_c1e6_f962, - 0xaa30_535b_dd74_9a7e, - 0x2e9b_dbba_3dd3_4bff, - ]), - ], - [ - vesta::Base::from_raw([ - 0x035a_1366_1f22_418b, - 0xde40_fbe2_6d04_7b05, - 0x8bd5_bae3_6969_299f, - 0x2de1_1886_b180_11ca, - ]), - vesta::Base::from_raw([ - 0xbc99_8884_ba96_a721, - 0x2ab9_395c_449b_e947, - 0x0d5b_4a3f_1841_dcd8, - 0x2e07_de17_80b8_a70d, - ]), - vesta::Base::from_raw([ - 0x825e_4c2b_b749_25ca, - 0x2504_40a9_9d6b_8af3, - 0xbbdb_63db_d52d_ad16, - 0x0f69_f185_4d20_ca0c, - ]), - ], - [ - vesta::Base::from_raw([ - 0x816c_0594_22dc_705e, - 0x6ce5_1135_07f9_6de9, - 0x0d13_5dc6_39fb_09a4, - 0x2eb1_b254_17fe_1767, - ]), - vesta::Base::from_raw([ - 0xb8b1_bdf4_953b_d82c, - 0xff36_c661_d26c_c42d, - 0x8c24_cb44_c3fa_b48a, - 0x115c_d0a0_643c_fb98, - ]), - vesta::Base::from_raw([ - 0xde80_1612_311d_04cd, - 0xbb57_ddf1_4e0f_958a, - 0x066d_7378_b999_868b, - 0x26ca_293f_7b2c_462d, - ]), - ], - [ - vesta::Base::from_raw([ - 0xf520_9d14_b248_20ca, - 0x0f16_0bf9_f71e_967f, - 0x2a83_0aa1_6241_2cd9, - 0x17bf_1b93_c4c7_e01a, - ]), - vesta::Base::from_raw([ - 0x05c8_6f2e_7dc2_93c5, - 0xe03c_0354_bd8c_fd38, - 0xa24f_8456_369c_85df, - 0x35b4_1a7a_c4f3_c571, - ]), - vesta::Base::from_raw([ - 0x72ac_156a_f435_d09e, - 0x64e1_4d3b_eb2d_ddde, - 0x4359_2799_4849_bea9, - 0x3b14_8008_0523_c439, - ]), - ], - [ - vesta::Base::from_raw([ - 0x2716_18d8_74b1_4c6d, - 0x08e2_8644_2a2d_3eb2, - 0x4950_856d_c907_d575, - 0x2cc6_8100_31dc_1b0d, - ]), - vesta::Base::from_raw([ - 0x91f3_18c0_9f0c_b566, - 0x9e51_7aa9_3b78_341d, - 0x0596_18e2_afd2_ef99, - 0x25bd_bbed_a1bd_e8c1, - ]), - vesta::Base::from_raw([ - 0xc631_3487_073f_7f7b, - 0x2a5e_d0a2_7b61_926c, - 0xb95f_33c2_5dde_8ac0, - 0x392a_4a87_58e0_6ee8, - ]), - ], - [ - vesta::Base::from_raw([ - 0xe7bb_cef0_2eb5_866c, - 0x5e6a_6fd1_5db8_9365, - 0x9aa6_111f_4de0_0948, - 0x272a_5587_8a08_442b, - ]), - vesta::Base::from_raw([ - 0x9b92_5b3c_5b21_e0e2, - 0xa6eb_ba01_1694_dd12, - 0xefa1_3c4e_60e2_6239, - 0x2d5b_308b_0cf0_2cdf, - ]), - vesta::Base::from_raw([ - 0xef38_c57c_3116_73ac, - 0x44df_f42f_18b4_6c56, - 0xdd5d_293d_72e2_e5f2, - 0x1654_9fc6_af2f_3b72, - ]), - ], - [ - vesta::Base::from_raw([ - 0x9b71_26d9_b468_60df, - 0x7639_8265_3442_0311, - 0xfa69_c3a2_ad52_f76d, - 0x1b10_bb7a_82af_ce39, - ]), - vesta::Base::from_raw([ - 0x90d2_7f6a_00b7_dfc8, - 0xd1b3_6968_ba04_05c0, - 0xc79c_2df7_dc98_a3be, - 0x0f1e_7505_ebd9_1d2f, - ]), - vesta::Base::from_raw([ - 0xff45_7756_b819_bb20, - 0x797f_d6e3_f18e_b1ca, - 0x537a_7497_a3b4_3f46, - 0x2f31_3faf_0d3f_6187, - ]), - ], - [ - vesta::Base::from_raw([ - 0xf0bc_3e73_2ecb_26f6, - 0x5cad_11eb_f0f7_ceb8, - 0xfa3c_a61c_0ed1_5bc5, - 0x3a5c_bb6d_e450_b481, - ]), - vesta::Base::from_raw([ - 0x8655_27cb_ca91_5982, - 0x51ba_a6e2_0f89_2b62, - 0xd920_86e2_53b4_39d6, - 0x3dab_54bc_9bef_688d, - ]), - vesta::Base::from_raw([ - 0x3680_45ac_f2b7_1ae3, - 0x4c24_b33b_410f_efd4, - 0xe280_d316_7012_3f74, - 0x06db_fb42_b979_884d, - ]), - ], - [ - vesta::Base::from_raw([ - 0xa7fc_32d2_2f18_b9d3, - 0xb8d2_de72_e3d2_c9ec, - 0xc6f0_39ea_1973_a63e, - 0x068d_6b46_08aa_e810, - ]), - vesta::Base::from_raw([ - 0x2b5d_fcc5_5725_55df, - 0xb868_a7d7_e1f1_f69a, - 0x0ee2_58c9_b8fd_fccd, - 0x366e_bfaf_a3ad_381c, - ]), - vesta::Base::from_raw([ - 0xe6bc_229e_95bc_76b1, - 0x7ef6_6d89_d044_d022, - 0x04db_3024_f41d_3f56, - 0x3967_8f65_512f_1ee4, - ]), - ], - [ - vesta::Base::from_raw([ - 0xe534_c88f_e53d_85fe, - 0xcf82_c25f_99dc_01a4, - 0xd58b_7750_a3bc_2fe1, - 0x2166_8f01_6a80_63c0, - ]), - vesta::Base::from_raw([ - 0x4bef_429b_c533_1608, - 0xe34d_ea56_439f_e195, - 0x1bc7_4936_3e98_a768, - 0x39d0_0994_a8a5_046a, - 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0xb8ee_335d_8828_4cbe, - 0xca2a_d0fb_5667_2500, - 0x2301_ef9c_63ea_84c5, - ]), - vesta::Base::from_raw([ - 0x5e68_478c_4d60_27a9, - 0xc861_82d1_b424_6b58, - 0xd10f_4cd5_2be9_7f6b, - 0x029a_5a47_da79_a488, - ]), - vesta::Base::from_raw([ - 0x2cc4_f962_eaae_2260, - 0xf97f_e46b_6a92_5428, - 0x2360_d17d_890e_55cb, - 0x32d7_b16a_7f11_cc96, - ]), - ], - [ - vesta::Base::from_raw([ - 0xc0ca_b915_d536_3d9f, - 0xa5f2_404c_d7b3_5eb0, - 0x18e8_57a9_8d49_8cf7, - 0x2670_3e48_c03b_81ca, - ]), - vesta::Base::from_raw([ - 0xf691_123a_e112_b928, - 0xf443_88bd_6b89_221e, - 0x88ac_8d25_a246_03f1, - 0x0486_82a3_5b32_65bc, - ]), - vesta::Base::from_raw([ - 0x3ab7_defc_b8d8_03e2, - 0x91d6_e171_5164_775e, - 0xd72c_ddc6_cf06_b507, - 0x06b1_3904_41fa_7030, - ]), - ], - [ - vesta::Base::from_raw([ - 0xbcd7_9541_4a6e_2e86, - 0x43b3_60f6_386a_86d7, - 0x1689_426d_ce05_fcd8, - 0x31aa_0eeb_868c_626d, - ]), - vesta::Base::from_raw([ - 0xed77_f5d5_76b9_9cc3, - 0x90ef_d8f4_1b20_78b2, - 0x057a_bad3_764c_104b, - 0x2394_64f7_5bf7_b6af, - ]), - vesta::Base::from_raw([ - 0xb2cb_4873_07c1_cecf, - 0xa5cc_47c5_9654_b2a7, - 0xa45e_19ed_813a_54ab, - 0x0a64_d4c0_4fd4_26bd, - ]), - ], - [ - vesta::Base::from_raw([ - 0x1f73_1532_2f65_8735, - 0x777c_7a92_1a06_2e9d, - 0x576a_4ad2_5986_0fb1, - 0x21fb_bdbb_7367_0734, - ]), - vesta::Base::from_raw([ - 0x6743_2400_3fc5_2146, - 0x5b86_d294_63d3_1564, - 0xd937_1ca2_eb95_acf3, - 0x31b8_6f3c_f017_05d4, - ]), - vesta::Base::from_raw([ - 0x7045_f48a_a4eb_4f6f, - 0x1354_1d65_157e_e1ce, - 0x05ef_1736_d090_56f6, - 0x2bfd_e533_5437_7c91, - ]), - ], - [ - vesta::Base::from_raw([ - 0x5a13_a58d_2001_1e2f, - 0xf4d5_239c_11d0_eafa, - 0xd558_f36e_65f8_eca7, - 0x1233_ca93_6ec2_4671, - ]), - vesta::Base::from_raw([ - 0x6e70_af0a_7a92_4b3a, - 0x8780_58d0_234a_576f, - 0xc437_846d_8e0b_2b30, - 0x27d4_52a4_3ac7_dea2, - ]), - vesta::Base::from_raw([ - 0xa025_76b9_4392_f980, - 0x6a30_641a_1c3d_87b2, - 0xe816_ea8d_a493_e0fa, - 0x2699_dba8_2184_e413, - ]), - ], - [ - vesta::Base::from_raw([ - 0x608c_6f7a_61b5_6e55, - 0xf185_8466_4f8c_ab49, - 0xc398_8bae_e42e_4b10, - 0x36c7_22f0_efcc_8803, - ]), - vesta::Base::from_raw([ - 0x6e49_ac17_0dbb_7fcd, - 0x85c3_8899_a7b5_a833, - 0x08b0_f2ec_89cc_aa37, - 0x02b3_ff48_861e_339b, - ]), - vesta::Base::from_raw([ - 0xa8c5_ae03_ad98_e405, - 0x6fc3_ff4c_49eb_59ad, - 0x6016_2f44_27bc_657b, - 0x0b70_d061_d58d_8a7f, - ]), - ], - [ - vesta::Base::from_raw([ - 0x2e06_cc4a_f33b_0a06, - 0xad3d_e8be_46ed_9693, - 0xf875_3ade_b9d7_cee2, - 0x3fc2_a13f_127f_96a4, - ]), - vesta::Base::from_raw([ - 0xc120_80ac_117e_e15f, - 0x00cb_3d62_1e17_1d80, - 0x1bd6_3434_ac8c_419f, - 0x0c41_a6e4_8dd2_3a51, - ]), - vesta::Base::from_raw([ - 0x9685_213e_9692_f5e1, - 0x72aa_ad7e_4e75_339d, - 0xed44_7653_7169_084e, - 0x2de8_072a_6bd8_6884, - ]), - ], - [ - vesta::Base::from_raw([ - 0x0ad0_1184_567b_027c, - 0xb81c_f735_cc9c_39c0, - 0x9d34_96a3_d9fe_05ec, - 0x0355_7a8f_7b38_a17f, - ]), - vesta::Base::from_raw([ - 0x45bc_b5ac_0082_6abc, - 0x060f_4336_3d81_8e54, - 0xee97_6d34_282f_1a37, - 0x0b5f_5955_2f49_8735, - ]), - vesta::Base::from_raw([ - 0x2f29_09e1_7e22_b0df, - 0xf5d6_46e5_7507_e548, - 0xfedb_b185_70dc_7300, - 0x0e29_23a5_fee7_b878, - ]), - ], - [ - vesta::Base::from_raw([ - 0xf71e_ed73_f15b_3326, - 0xcf1c_b37c_3b03_2af6, - 0xc787_be97_020a_7fdd, - 0x1d78_5005_a7a0_0592, - ]), - vesta::Base::from_raw([ - 0x0acf_bfb2_23f8_f00d, - 0xa590_b88a_3b06_0294, - 0x0ba5_fedc_b8f2_5bd2, - 0x1ad7_72c2_73d9_c6df, - ]), - vesta::Base::from_raw([ - 0xc1ce_13d6_0f2f_5031, - 0x8105_10eb_61f0_672d, - 0xa78f_3275_c278_234b, - 0x027b_d647_85fc_bd2a, - ]), - ], - [ - vesta::Base::from_raw([ - 0x8337_f5e0_7923_a853, - 0xe224_3134_6945_7b8e, - 0xce6f_8ffe_a103_1b6d, - 0x2080_0f44_1b4a_0526, - ]), - vesta::Base::from_raw([ - 0xa33d_7bed_89a4_408a, - 0x36cd_c8ee_d662_ad37, - 0x6eea_2cd4_9f43_12b4, - 0x3d5a_d61d_7b65_f938, - ]), - vesta::Base::from_raw([ - 0x3bbb_ae94_cc19_5284, - 0x1df9_6cc0_3ea4_b26d, - 0x02c5_f91b_e4dd_8e3d, - 0x1333_8bc3_51fc_46dd, - ]), - ], - [ - vesta::Base::from_raw([ - 0xc527_1c29_7852_819e, - 0x646c_49f9_b46c_bf19, - 0xb87d_b1e2_af3e_a923, - 0x25e5_2be5_07c9_2760, - ]), - vesta::Base::from_raw([ - 0x5c38_0ab7_01b5_2ea9, - 0xa34c_83a3_485c_6b2d, - 0x7109_6d8b_1b98_3c98, - 0x1c49_2d64_c157_aaa4, - ]), - vesta::Base::from_raw([ - 0xa20c_0b3d_a0da_4ca3, - 0xd434_87bc_288d_f682, - 0xf4e6_c5e7_a573_f592, - 0x0c5b_8015_7999_2718, - ]), - ], - [ - vesta::Base::from_raw([ - 0x7ea3_3c93_e408_33cf, - 0x584e_9e62_a7f9_554e, - 0x6869_5c0c_d7cb_f43d, - 0x1090_b1b4_d2be_be7a, - ]), - vesta::Base::from_raw([ - 0xe383_e1ec_3baa_8d69, - 0x1b21_8e35_ecf2_328e, - 0x68f5_ce5c_bed1_9cad, - 0x33e3_8018_a801_387a, - ]), - vesta::Base::from_raw([ - 0xb76b_0b3d_787e_e953, - 0x5f4a_02d2_8729_e3ae, - 0xeef8_d83d_0e87_6bac, - 0x1654_af18_772b_2da5, - ]), - ], - [ - vesta::Base::from_raw([ - 0xef7c_e6a0_1326_5477, - 0xbb08_9387_0367_ec6c, - 0x4474_2de8_8c5a_b0d5, - 0x1678_be3c_c9c6_7993, - ]), - vesta::Base::from_raw([ - 0xaf5d_4789_3348_f766, - 0xdaf1_8183_55b1_3b4f, - 0x7ff9_c6be_546e_928a, - 0x3780_bd1e_01f3_4c22, - ]), - vesta::Base::from_raw([ - 0xa123_8032_0d7c_c1de, - 0x5d11_e69a_a6c0_b98c, - 0x0786_018e_7cb7_7267, - 0x1e83_d631_5c9f_125b, - ]), - ], - [ - vesta::Base::from_raw([ - 0x1799_603e_855c_e731, - 0xc486_894d_76e0_c33b, - 0x160b_4155_2f29_31c8, - 0x354a_fd0a_2f9d_0b26, - ]), - vesta::Base::from_raw([ - 0x8b99_7ee0_6be1_bff3, - 0x60b0_0dbe_1fac_ed07, - 0x2d8a_ffa6_2905_c5a5, - 0x00cd_6d29_f166_eadc, - ]), - vesta::Base::from_raw([ - 0x08d0_6419_1708_2f2c, - 0xc60d_0197_3f18_3057, - 0xdbe0_e3d7_cdbc_66ef, - 0x1d62_1935_2768_e3ae, - ]), - ], - [ - vesta::Base::from_raw([ - 0xfa08_dd98_0638_7577, - 0xafe3_ca1d_b8d4_f529, - 0xe48d_2370_d7d1_a142, - 0x1463_36e2_5db5_181d, - ]), - vesta::Base::from_raw([ - 0xa901_d3ce_84de_0ad4, - 0x022e_54b4_9c13_d907, - 0x997a_2116_3e2e_43df, - 0x0005_d8e0_85fd_72ee, - ]), - vesta::Base::from_raw([ - 0x1c36_f313_4196_4484, - 0x6f8e_bc1d_2296_021a, - 0x0dd5_e61c_8a4e_8642, - 0x364e_97c7_a389_3227, - ]), - ], - [ - vesta::Base::from_raw([ - 0xd7a0_0c03_d2e0_baaa, - 0xfa97_ec80_ad30_7a52, - 0x561c_6fff_1534_6878, - 0x0118_9910_671b_c16b, - ]), - vesta::Base::from_raw([ - 0x63fd_8ac5_7a95_ca8c, - 0x4c0f_7e00_1df4_90aa, - 0x5229_dfaa_0123_1a45, - 0x162a_7c80_f4d2_d12e, - ]), - vesta::Base::from_raw([ - 0x32e6_9efb_22f4_0b96, - 0xcaff_31b4_fda3_2124, - 0x2604_e4af_b09f_8603, - 0x2a0d_6c09_5766_66bb, - ]), - ], - [ - vesta::Base::from_raw([ - 0xc0a0_180f_8cbf_c0d2, - 0xf444_d10d_63a7_4e2c, - 0xe16a_4d60_3d5a_808e, - 0x0978_e5c5_1e1e_5649, - ]), - vesta::Base::from_raw([ - 0x03f4_460e_bc35_1b6e, - 0x0508_7d90_3bda_cfd1, - 0xebe1_9bbd_ce25_1011, - 0x1bdc_ee3a_aca9_cd25, - ]), - vesta::Base::from_raw([ - 0xf619_64bf_3ade_7670, - 0x0c94_7321_e007_5e3f, - 0xe494_7914_0b19_44fd, - 0x1862_cccb_70b5_b885, - ]), - ], - [ - vesta::Base::from_raw([ - 0xc326_7da6_e94a_dc50, - 0x39ee_99c1_cc6e_5dda, - 0xbc26_cc88_3a19_87e1, - 0x1f3e_91d8_63c1_6922, - ]), - vesta::Base::from_raw([ - 0x0f85_b4ac_2c36_7406, - 0xfa66_1465_c656_ad99, - 0xef5c_08f8_478f_663a, - 0x1af4_7a48_a601_6a49, - ]), - vesta::Base::from_raw([ - 0x0eab_cd87_e7d0_1b15, - 0x1c36_98b0_a2e3_da10, - 0x009d_5733_8c69_3505, - 0x3c8e_e901_956e_3d3f, - ]), - ], - [ - vesta::Base::from_raw([ - 0x8b94_7721_8967_3476, - 0xe10c_e2b7_069f_4dbd, - 0x68d0_b024_f591_b520, - 0x1660_a8cd_e7fe_c553, - ]), - vesta::Base::from_raw([ - 0x9d8d_0f67_fdaa_79d5, - 0x3963_c2c1_f558_6e2f, - 0x1303_9363_34dd_1132, - 0x0f6d_9919_29d5_e4e7, - ]), - vesta::Base::from_raw([ - 0x7a43_3091_e1ce_2d3a, - 0x4e7f_da77_0712_f343, - 0xcc62_5eaa_ab52_b4dc, - 0x02b9_cea1_921c_d9f6, - ]), - ], - [ - vesta::Base::from_raw([ - 0x3797_b2d8_3760_43b3, - 0xd8ca_f468_976f_0472, - 0x214f_7c67_84ac_b565, - 0x14a3_23b9_9b90_0331, - ]), - vesta::Base::from_raw([ - 0x347f_ef2c_00f0_953a, - 0x718b_7fbc_7788_af78, - 0xec01_ea79_642d_5760, - 0x1904_76b5_80cb_9277, - ]), - vesta::Base::from_raw([ - 0xff4e_7e6f_b268_dfd7, - 0x9660_902b_6008_7651, - 0xa424_63d3_0b44_2b6f, - 0x090a_3a9d_869d_2eef, - ]), - ], - [ - vesta::Base::from_raw([ - 0xf983_387e_a045_6203, - 0xe365_0013_04f9_a11e, - 0x0dbe_8fd2_270a_6795, - 0x3877_a955_8636_7567, - ]), - vesta::Base::from_raw([ - 0x39c0_af0f_e01f_4a06, - 0x6011_8c53_a218_1352, - 0x5df3_9a2c_c63d_dc0a, - 0x2d89_4691_240f_e953, - ]), - vesta::Base::from_raw([ - 0x1aca_9eaf_9bba_9850, - 0x5914_e855_eeb4_4aa1, - 0x7ef7_1780_2016_6189, - 0x21b9_c182_92bd_bc59, - ]), - ], - [ - vesta::Base::from_raw([ - 0x33f5_09a7_4ad9_d39b, - 0x272e_1cc6_c36a_2968, - 0x505a_05f2_a6ae_834c, - 0x2fe7_6be7_cff7_23e2, - ]), - vesta::Base::from_raw([ - 0x0df9_fa97_277f_a8b4, - 0xd15b_ff84_0dda_e8a5, - 0x9299_81d7_cfce_253b, - 0x187a_a448_f391_e3ca, - ]), - vesta::Base::from_raw([ - 0xf0c6_6af5_ffc7_3736, - 0x663c_cf7b_2ffe_4b5e, - 0x007a_b3aa_3617_f422, - 0x0b70_83ad_7517_07bf, - ]), - ], - [ - vesta::Base::from_raw([ - 0x2f9b_20f1_fbd4_9791, - 0x1975_b962_f6cb_8e0b, - 0x3bc4_ca99_02c5_2acb, - 0x030d_dbb4_7049_3f16, - ]), - vesta::Base::from_raw([ - 0x3a1c_62ca_8fbf_2525, - 0x8fb8_ab9d_60ea_17b2, - 0x950b_0ab1_8d35_46df, - 0x3130_fbaf_fb5a_a82a, - ]), - vesta::Base::from_raw([ - 0x43a8_7618_0dc3_82e0, - 0x15ce_2ead_2fcd_051e, - 0x4f74_d74b_ac2e_e457, - 0x337f_5447_07c4_30f0, - ]), - ], - [ - vesta::Base::from_raw([ - 0x26de_98a8_736d_1d11, - 0x7d8e_471a_9fb9_5fef, - 0xac9d_91b0_930d_ac75, - 0x3499_7991_9015_394f, - ]), - vesta::Base::from_raw([ - 0xccfc_b618_31d5_c775, - 0x3bf9_3da6_fff3_1d95, - 0x2305_cd7a_921e_c5f1, - 0x027c_c4ef_e3fb_35dd, - ]), - vesta::Base::from_raw([ - 0xc3fa_2629_635d_27de, - 0x67f1_c6b7_3147_64af, - 0x61b7_1a36_9868_2ad2, - 0x037f_9f23_6595_4c5b, - ]), - ], - [ - vesta::Base::from_raw([ - 0x77c5_b024_8483_71ae, - 0x6041_4abe_362d_01c9, - 0x10f1_cc6d_f8b4_bcd7, - 0x1f69_7cac_4d07_feb7, - ]), - vesta::Base::from_raw([ - 0x786a_dd24_4aa0_ef29, - 0x3145_c478_0631_09d6, - 0x26e6_c851_fbd5_72a6, - 0x267a_750f_e5d7_cfbc, - ]), - vesta::Base::from_raw([ - 0x180e_2b4d_3e75_6f65, - 0xaf28_5fa8_2ce4_fae5, - 0x678c_9996_d9a4_72c8, - 0x0c91_feab_4a43_193a, - ]), - ], - [ - vesta::Base::from_raw([ - 0x79c4_7c57_3ac4_10f7, - 0x7e3b_83af_4a4b_a3ba, - 0x2186_c303_8ea0_5e69, - 0x1745_569a_0a3e_3014, - ]), - vesta::Base::from_raw([ - 0x1e03_8852_2696_191f, - 0xfdff_66c6_f3b5_ffe1, - 0xeca5_1207_78a5_6711, - 0x2986_3d54_6e7e_7c0d, - ]), - vesta::Base::from_raw([ - 0x2f22_5e63_66bf_e390, - 0xa79a_03df_8339_94c6, - 0xbf06_bae4_9ef8_53f6, - 0x1148_d6ab_2bd0_0192, - ]), - ], - [ - vesta::Base::from_raw([ - 0xf4f6_331a_8b26_5d15, - 0xf745_f45d_350d_41d4, - 0xe18b_1499_060d_a366, - 0x02e0_e121_b0f3_dfef, - ]), - vesta::Base::from_raw([ - 0x078a_e6aa_1510_54b7, - 0x6904_0173_6d44_a653, - 0xb89e_f73a_40a2_b274, - 0x0d0a_a46e_76a6_a278, - ]), - vesta::Base::from_raw([ - 0x9a4d_532c_7b6e_0958, - 0x392d_de71_0f1f_06db, - 0xeee5_45f3_fa6d_3d08, - 0x1394_3675_b04a_a986, - ]), - ], - [ - vesta::Base::from_raw([ - 0x961f_c818_dcbb_66b5, - 0xc9f2_b325_7530_dafe, - 0xd97a_11d6_3088_f5d9, - 0x2901_ec61_942d_34aa, - ]), - vesta::Base::from_raw([ - 0xfdf5_44b9_63d1_fdc7, - 0x22ff_a2a2_af9f_a3e3, - 0xf431_d544_34a3_e0cf, - 0x2020_4a21_05d2_2e7e, - ]), - vesta::Base::from_raw([ - 0x1211_b9e2_190d_6852, - 0xa004_abe8_e015_28c4, - 0x5c1e_3e9e_27a5_71c3, - 0x3a8a_6282_9512_1d5c, - ]), - ], -]; - -// n: 255 -// t: 3 -// N: 765 -// Result Algorithm 1: -// [True, 0] -// Result Algorithm 2: -// [True, None] -// Result Algorithm 3: -// [True, None] -// Prime number: 0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001 -// MDS matrix: -pub(crate) const MDS: [[vesta::Base; 3]; 3] = [ - [ - vesta::Base::from_raw([ - 0xeb4f_1f74_2963_421f, - 0x5f71_0afc_43dd_c5f6, - 0x9191_3f56_cf21_af2b, - 0x1853_b497_7c6f_a227, - ]), - vesta::Base::from_raw([ - 0x45e5_1db6_ac6f_e4a7, - 0x5a0f_a4df_a500_bcad, - 0x63f4_84c1_0fcf_0586, - 0x3d83_1189_cfbb_c452, - ]), - vesta::Base::from_raw([ - 0xd188_37f9_8347_f137, - 0x3f89_65c7_8083_8a94, - 0x4ba8_8b9e_4017_19c0, - 0x3a0e_3f84_d3c1_77d8, - ]), - ], - [ - vesta::Base::from_raw([ - 0x84fd_7923_337c_f77e, - 0x2896_f8d0_fd5c_9a75, - 0x8e9d_c529_f471_8f83, - 0x35e2_6e39_8450_6279, - ]), - vesta::Base::from_raw([ - 0x3eb9_24f5_6fff_7908, - 0x3641_cecf_3a2a_5a8a, - 0x00cd_7dbe_a799_70ab, - 0x10a8_1663_02cb_753c, - ]), - vesta::Base::from_raw([ - 0xb672_27c1_a141_ae94, - 0x198e_1aee_777e_2521, - 0xf434_92ce_5121_4b00, - 0x314f_762a_506d_321b, - ]), - ], - [ - vesta::Base::from_raw([ - 0xabcb_d614_eaf5_eba1, - 0xa90f_28b0_cb31_76fb, - 0xcb2e_ab86_ef31_d915, - 0x07b8_5627_c832_782a, - ]), - vesta::Base::from_raw([ - 0xc255_efd0_06b5_db1c, - 0xb5d9_85dc_1630_a4b2, - 0x9756_4e1b_5d1a_c72f, - 0x2a2d_e13e_70f2_7e16, - ]), - vesta::Base::from_raw([ - 0xcffd_f529_3334_29fc, - 0x21e3_af7e_f123_32cd, - 0xfff5_40a8_7327_c7ce, - 0x2c60_94d1_c6e1_caba, - ]), - ], -]; - -pub(crate) const MDS_INV: [[vesta::Base; 3]; 3] = [ - [ - vesta::Base::from_raw([ - 0xb204_ddc6_5e58_2044, - 0x47a6_0484_b0a9_9c91, - 0xcaf5_4d78_24c1_200e, - 0x36df_4950_21cf_7828, - ]), - vesta::Base::from_raw([ - 0x6a6b_94ad_aa0d_9c9e, - 0xe2cd_38b9_59d4_61ff, - 0xe43e_c4bf_3e0d_f00c, - 0x034f_beae_4650_c2c7, - ]), - vesta::Base::from_raw([ - 0xa862_7a02_8c1a_f7d6, - 0x841b_ebf1_a15b_746e, - 0x1fd5_6832_d0ab_5570, - 0x20a8_64d6_790f_7c1c, - ]), - ], - [ - vesta::Base::from_raw([ - 0x3470_d5c5_53bc_9d20, - 0x1f95_660f_eb5d_b121, - 0xdd31_97ac_c894_9076, - 0x2d08_703d_48ec_d7dc, - ]), - vesta::Base::from_raw([ - 0x6b5b_42b0_67d8_30f3, - 0x6169_b6fa_721a_470e, - 0xeff3_18a2_8983_158a, - 0x2db1_0ecd_507a_2f27, - ]), - vesta::Base::from_raw([ - 0xfbae_b537_d278_4760, - 0x0068_e709_07e7_089d, - 0x926a_5fc0_cc1e_f726, - 0x0c8a_58c0_6473_cdfa, - ]), - ], - [ - vesta::Base::from_raw([ - 0x3a5a_ca10_7129_6e61, - 0x4ad4_442e_96c9_d5e8, - 0x5432_f0c0_b908_a411, - 0x2a64_2dca_695d_744d, - ]), - vesta::Base::from_raw([ - 0x1bd9_bfcb_be02_5ff1, - 0x24f6_ad43_b703_ad90, - 0xebb7_238d_f00d_17e7, - 0x114e_c796_fb40_3f5f, - ]), - vesta::Base::from_raw([ - 0x67f0_642e_14a9_c3bf, - 0xf6a6_9176_7069_7a97, - 0x0408_110d_c66e_b147, - 0x2825_e067_5968_dbeb, - ]), - ], -]; diff --git a/src/primitives/poseidon/grain.rs b/src/primitives/poseidon/grain.rs deleted file mode 100644 index 580f86d4..00000000 --- a/src/primitives/poseidon/grain.rs +++ /dev/null @@ -1,193 +0,0 @@ -//! The Grain LFSR in self-shrinking mode, as used by Poseidon. - -use std::marker::PhantomData; - -use bitvec::prelude::*; -use halo2::arithmetic::FieldExt; - -const STATE: usize = 80; - -#[derive(Debug, Clone, Copy)] -pub(super) enum FieldType { - /// GF(2^n) - #[allow(dead_code)] - Binary, - /// GF(p) - PrimeOrder, -} - -impl FieldType { - fn tag(&self) -> u8 { - match self { - FieldType::Binary => 0, - FieldType::PrimeOrder => 1, - } - } -} - -#[derive(Debug, Clone, Copy)] -pub(super) enum SboxType { - /// x^alpha - Pow, - /// x^(-1) - #[allow(dead_code)] - Inv, -} - -impl SboxType { - fn tag(&self) -> u8 { - match self { - SboxType::Pow => 0, - SboxType::Inv => 1, - } - } -} - -pub(super) struct Grain { - state: BitArr!(for 80, in Msb0, u8), - next_bit: usize, - _field: PhantomData, -} - -impl Grain { - pub(super) fn new(sbox: SboxType, t: u16, r_f: u16, r_p: u16) -> Self { - // Initialize the LFSR state. - let mut state = bitarr![Msb0, u8; 1; STATE]; - let mut set_bits = |offset: usize, len, value| { - // Poseidon reference impl sets initial state bits in MSB order. - for i in 0..len { - *state.get_mut(offset + len - 1 - i).unwrap() = (value >> i) & 1 != 0; - } - }; - set_bits(0, 2, FieldType::PrimeOrder.tag() as u16); - set_bits(2, 4, sbox.tag() as u16); - set_bits(6, 12, F::NUM_BITS as u16); - set_bits(18, 12, t); - set_bits(30, 10, r_f); - set_bits(40, 10, r_p); - - let mut grain = Grain { - state, - next_bit: STATE, - _field: PhantomData::default(), - }; - - // Discard the first 160 bits. - for _ in 0..20 { - grain.load_next_8_bits(); - grain.next_bit = STATE; - } - - grain - } - - fn load_next_8_bits(&mut self) { - let mut new_bits = 0u8; - for i in 0..8 { - new_bits |= ((self.state[i + 62] - ^ self.state[i + 51] - ^ self.state[i + 38] - ^ self.state[i + 23] - ^ self.state[i + 13] - ^ self.state[i]) as u8) - << i; - } - self.state.rotate_left(8); - self.next_bit -= 8; - for i in 0..8 { - *self.state.get_mut(self.next_bit + i).unwrap() = (new_bits >> i) & 1 != 0; - } - } - - fn get_next_bit(&mut self) -> bool { - if self.next_bit == STATE { - self.load_next_8_bits(); - } - let ret = self.state[self.next_bit]; - self.next_bit += 1; - ret - } - - /// Returns the next field element from this Grain instantiation. - pub(super) fn next_field_element(&mut self) -> F { - // Loop until we get an element in the field. - loop { - let mut bytes = F::Repr::default(); - - // Poseidon reference impl interprets the bits as a repr in MSB order, because - // it's easy to do that in Python. Meanwhile, our field elements all use LSB - // order. There's little motivation to diverge from the reference impl; these - // are all constants, so we aren't introducing big-endianness into the rest of - // the circuit (assuming unkeyed Poseidon, but we probably wouldn't want to - // implement Grain inside a circuit, so we'd use a different round constant - // derivation function there). - let view = bytes.as_mut(); - for (i, bit) in self.take(F::NUM_BITS as usize).enumerate() { - // If we diverged from the reference impl and interpreted the bits in LSB - // order, we would remove this line. - let i = F::NUM_BITS as usize - 1 - i; - - view[i / 8] |= if bit { 1 << (i % 8) } else { 0 }; - } - - if let Some(f) = F::from_repr_vartime(bytes) { - break f; - } - } - } - - /// Returns the next field element from this Grain instantiation, without using - /// rejection sampling. - pub(super) fn next_field_element_without_rejection(&mut self) -> F { - let mut bytes = [0u8; 64]; - - // Poseidon reference impl interprets the bits as a repr in MSB order, because - // it's easy to do that in Python. Additionally, it does not use rejection - // sampling in cases where the constants don't specifically need to be uniformly - // random for security. We do not provide APIs that take a field-element-sized - // array and reduce it modulo the field order, because those are unsafe APIs to - // offer generally (accidentally using them can lead to divergence in consensus - // systems due to not rejecting canonical forms). - // - // Given that we don't want to diverge from the reference implementation, we hack - // around this restriction by serializing the bits into a 64-byte array and then - // calling F::from_bytes_wide. PLEASE DO NOT COPY THIS INTO YOUR OWN CODE! - let view = bytes.as_mut(); - for (i, bit) in self.take(F::NUM_BITS as usize).enumerate() { - // If we diverged from the reference impl and interpreted the bits in LSB - // order, we would remove this line. - let i = F::NUM_BITS as usize - 1 - i; - - view[i / 8] |= if bit { 1 << (i % 8) } else { 0 }; - } - - F::from_bytes_wide(&bytes) - } -} - -impl Iterator for Grain { - type Item = bool; - - fn next(&mut self) -> Option { - // Evaluate bits in pairs: - // - If the first bit is a 1, output the second bit. - // - If the first bit is a 0, discard the second bit. - while !self.get_next_bit() { - self.get_next_bit(); - } - Some(self.get_next_bit()) - } -} - -#[cfg(test)] -mod tests { - use pasta_curves::Fp; - - use super::{Grain, SboxType}; - - #[test] - fn grain() { - let mut grain = Grain::::new(SboxType::Pow, 3, 8, 56); - let _f = grain.next_field_element(); - } -} diff --git a/src/primitives/poseidon/mds.rs b/src/primitives/poseidon/mds.rs deleted file mode 100644 index 7f9d1460..00000000 --- a/src/primitives/poseidon/mds.rs +++ /dev/null @@ -1,123 +0,0 @@ -use halo2::arithmetic::FieldExt; - -use super::{grain::Grain, Mds}; - -pub(super) fn generate_mds( - grain: &mut Grain, - mut select: usize, -) -> (Mds, Mds) { - let (xs, ys, mds) = loop { - // Generate two [F; T] arrays of unique field elements. - let (xs, ys) = loop { - let mut vals: Vec<_> = (0..2 * T) - .map(|_| grain.next_field_element_without_rejection()) - .collect(); - - // Check that we have unique field elements. - let mut unique = vals.clone(); - unique.sort_unstable(); - unique.dedup(); - if vals.len() == unique.len() { - let rhs = vals.split_off(T); - break (vals, rhs); - } - }; - - // We need to ensure that the MDS is secure. Instead of checking the MDS against - // the relevant algorithms directly, we witness a fixed number of MDS matrices - // that we need to sample from the given Grain state before obtaining a secure - // matrix. This can be determined out-of-band via the reference implementation in - // Sage. - if select != 0 { - select -= 1; - continue; - } - - // Generate a Cauchy matrix, with elements a_ij in the form: - // a_ij = 1/(x_i + y_j); x_i + y_j != 0 - // - // It would be much easier to use the alternate definition: - // a_ij = 1/(x_i - y_j); x_i - y_j != 0 - // - // These are clearly equivalent on `y <- -y`, but it is easier to work with the - // negative formulation, because ensuring that xs ∪ ys is unique implies that - // x_i - y_j != 0 by construction (whereas the positive case does not hold). It - // also makes computation of the matrix inverse simpler below (the theorem used - // was formulated for the negative definition). - // - // However, the Poseidon paper and reference impl use the positive formulation, - // and we want to rely on the reference impl for MDS security, so we use the same - // formulation. - let mut mds = [[F::zero(); T]; T]; - #[allow(clippy::needless_range_loop)] - for i in 0..T { - for j in 0..T { - let sum = xs[i] + ys[j]; - // We leverage the secure MDS selection counter to also check this. - assert!(!sum.is_zero_vartime()); - mds[i][j] = sum.invert().unwrap(); - } - } - - break (xs, ys, mds); - }; - - // Compute the inverse. All square Cauchy matrices have a non-zero determinant and - // thus are invertible. The inverse for a Cauchy matrix of the form: - // - // a_ij = 1/(x_i - y_j); x_i - y_j != 0 - // - // has elements b_ij given by: - // - // b_ij = (x_j - y_i) A_j(y_i) B_i(x_j) (Schechter 1959, Theorem 1) - // - // where A_i(x) and B_i(x) are the Lagrange polynomials for xs and ys respectively. - // - // We adapt this to the positive Cauchy formulation by negating ys. - let mut mds_inv = [[F::zero(); T]; T]; - let l = |xs: &[F], j, x: F| { - let x_j = xs[j]; - xs.iter().enumerate().fold(F::one(), |acc, (m, x_m)| { - if m == j { - acc - } else { - // We can invert freely; by construction, the elements of xs are distinct. - acc * (x - x_m) * (x_j - x_m).invert().unwrap() - } - }) - }; - let neg_ys: Vec<_> = ys.iter().map(|y| -*y).collect(); - for i in 0..T { - for j in 0..T { - mds_inv[i][j] = (xs[j] - neg_ys[i]) * l(&xs, j, neg_ys[i]) * l(&neg_ys, i, xs[j]); - } - } - - (mds, mds_inv) -} - -#[cfg(test)] -mod tests { - use pasta_curves::Fp; - - use super::{generate_mds, Grain}; - - #[test] - fn poseidon_mds() { - const T: usize = 3; - let mut grain = Grain::new(super::super::grain::SboxType::Pow, T as u16, 8, 56); - let (mds, mds_inv) = generate_mds::(&mut grain, 0); - - // Verify that MDS * MDS^-1 = I. - #[allow(clippy::needless_range_loop)] - for i in 0..T { - for j in 0..T { - let expected = if i == j { Fp::one() } else { Fp::zero() }; - assert_eq!( - (0..T).fold(Fp::zero(), |acc, k| acc + (mds[i][k] * mds_inv[k][j])), - expected - ); - } - } - } -} diff --git a/src/primitives/poseidon/p128pow5t3.rs b/src/primitives/poseidon/p128pow5t3.rs deleted file mode 100644 index 5052613d..00000000 --- a/src/primitives/poseidon/p128pow5t3.rs +++ /dev/null @@ -1,313 +0,0 @@ -use halo2::arithmetic::Field; -use pasta_curves::{pallas::Base as Fp, vesta::Base as Fq}; - -use super::{Mds, Spec}; - -/// Poseidon-128 using the $x^5$ S-box, with a width of 3 field elements, and the -/// standard number of rounds for 128-bit security "with margin". -/// -/// The standard specification for this set of parameters (on either of the Pasta -/// fields) uses $R_F = 8, R_P = 56$. This is conveniently an even number of -/// partial rounds, making it easier to construct a Halo 2 circuit. -#[derive(Debug)] -pub struct P128Pow5T3; - -impl Spec for P128Pow5T3 { - fn full_rounds() -> usize { - 8 - } - - fn partial_rounds() -> usize { - 56 - } - - fn sbox(val: Fp) -> Fp { - val.pow_vartime(&[5]) - } - - fn secure_mds() -> usize { - unimplemented!() - } - - fn constants() -> (Vec<[Fp; 3]>, Mds, Mds) { - ( - super::fp::ROUND_CONSTANTS[..].to_vec(), - super::fp::MDS, - super::fp::MDS_INV, - ) - } -} - -impl Spec for P128Pow5T3 { - fn full_rounds() -> usize { - 8 - } - - fn partial_rounds() -> usize { - 56 - } - - fn sbox(val: Fq) -> Fq { - val.pow_vartime(&[5]) - } - - fn secure_mds() -> usize { - unimplemented!() - } - - fn constants() -> (Vec<[Fq; 3]>, Mds, Mds) { - ( - super::fq::ROUND_CONSTANTS[..].to_vec(), - super::fq::MDS, - super::fq::MDS_INV, - ) - } -} - -#[cfg(test)] -mod tests { - use ff::PrimeField; - use std::marker::PhantomData; - - use pasta_curves::arithmetic::FieldExt; - - use super::{ - super::{fp, fq}, - Fp, Fq, - }; - use crate::primitives::poseidon::{permute, ConstantLength, Hash, Spec}; - - /// The same Poseidon specification as poseidon::P128Pow5T3, but constructed - /// such that its constants will be generated at runtime. - #[derive(Debug)] - pub struct P128Pow5T3Gen(PhantomData); - - impl P128Pow5T3Gen { - pub fn new() -> Self { - P128Pow5T3Gen(PhantomData::default()) - } - } - - impl Spec for P128Pow5T3Gen { - fn full_rounds() -> usize { - 8 - } - - fn partial_rounds() -> usize { - 56 - } - - fn sbox(val: F) -> F { - val.pow_vartime(&[5]) - } - - fn secure_mds() -> usize { - SECURE_MDS - } - } - - #[test] - fn verify_constants() { - fn verify_constants_helper( - expected_round_constants: [[F; 3]; 64], - expected_mds: [[F; 3]; 3], - expected_mds_inv: [[F; 3]; 3], - ) { - let (round_constants, mds, mds_inv) = P128Pow5T3Gen::::constants(); - - for (actual, expected) in round_constants - .iter() - .flatten() - .zip(expected_round_constants.iter().flatten()) - { - assert_eq!(actual, expected); - } - - for (actual, expected) in mds.iter().flatten().zip(expected_mds.iter().flatten()) { - assert_eq!(actual, expected); - } - - for (actual, expected) in mds_inv - .iter() - .flatten() - .zip(expected_mds_inv.iter().flatten()) - { - assert_eq!(actual, expected); - } - } - - verify_constants_helper(fp::ROUND_CONSTANTS, fp::MDS, fp::MDS_INV); - verify_constants_helper(fq::ROUND_CONSTANTS, fq::MDS, fq::MDS_INV); - } - - #[test] - fn test_against_reference() { - { - // , using parameters from - // `generate_parameters_grain.sage 1 0 255 3 8 56 0x40000000000000000000000000000000224698fc094cf91b992d30ed00000001`. - // The test vector is generated by `sage poseidonperm_x5_pallas_3.sage --rust` - - let mut input = [ - Fp::from_raw([ - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - ]), - Fp::from_raw([ - 0x0000_0000_0000_0001, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - ]), - Fp::from_raw([ - 0x0000_0000_0000_0002, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - ]), - ]; - - let expected_output = [ - Fp::from_raw([ - 0xaeb1_bc02_4aec_a456, - 0xf7e6_9a71_d0b6_42a0, - 0x94ef_b364_f966_240f, - 0x2a52_6acd_0b64_b453, - ]), - Fp::from_raw([ - 0x012a_3e96_28e5_b82a, - 0xdcd4_2e7f_bed9_dafe, - 0x76ff_7dae_343d_5512, - 0x13c5_d156_8b4a_a430, - ]), - Fp::from_raw([ - 0x3590_29a1_d34e_9ddd, - 0xf7cf_dfe1_bda4_2c7b, - 0x256f_cd59_7984_561a, - 0x0a49_c868_c697_6544, - ]), - ]; - - permute::, 3, 2>(&mut input, &fp::MDS, &fp::ROUND_CONSTANTS); - assert_eq!(input, expected_output); - } - - { - // , using parameters from - // `generate_parameters_grain.sage 1 0 255 3 8 56 0x40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001`. - // The test vector is generated by `sage poseidonperm_x5_vesta_3.sage --rust` - - let mut input = [ - Fq::from_raw([ - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - ]), - Fq::from_raw([ - 0x0000_0000_0000_0001, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - ]), - Fq::from_raw([ - 0x0000_0000_0000_0002, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - 0x0000_0000_0000_0000, - ]), - ]; - - let expected_output = [ - Fq::from_raw([ - 0x0eb0_8ea8_13be_be59, - 0x4d43_d197_3dd3_36c6, - 0xeddd_74f2_2f8f_2ff7, - 0x315a_1f4c_db94_2f7c, - ]), - Fq::from_raw([ - 0xf9f1_26e6_1ea1_65f1, - 0x413e_e0eb_7bbd_2198, - 0x642a_dee0_dd13_aa48, - 0x3be4_75f2_d764_2bde, - ]), - Fq::from_raw([ - 0x14d5_4237_2a7b_a0d9, - 0x5019_bfd4_e042_3fa0, - 0x117f_db24_20d8_ea60, - 0x25ab_8aec_e953_7168, - ]), - ]; - - permute::, 3, 2>(&mut input, &fq::MDS, &fq::ROUND_CONSTANTS); - assert_eq!(input, expected_output); - } - } - - #[test] - fn permute_test_vectors() { - { - let (round_constants, mds, _) = super::P128Pow5T3::constants(); - - for tv in crate::primitives::poseidon::test_vectors::fp::permute() { - let mut state = [ - Fp::from_repr(tv.initial_state[0]).unwrap(), - Fp::from_repr(tv.initial_state[1]).unwrap(), - Fp::from_repr(tv.initial_state[2]).unwrap(), - ]; - - permute::(&mut state, &mds, &round_constants); - - for (expected, actual) in tv.final_state.iter().zip(state.iter()) { - assert_eq!(&actual.to_repr(), expected); - } - } - } - - { - let (round_constants, mds, _) = super::P128Pow5T3::constants(); - - for tv in crate::primitives::poseidon::test_vectors::fq::permute() { - let mut state = [ - Fq::from_repr(tv.initial_state[0]).unwrap(), - Fq::from_repr(tv.initial_state[1]).unwrap(), - Fq::from_repr(tv.initial_state[2]).unwrap(), - ]; - - permute::(&mut state, &mds, &round_constants); - - for (expected, actual) in tv.final_state.iter().zip(state.iter()) { - assert_eq!(&actual.to_repr(), expected); - } - } - } - } - - #[test] - fn hash_test_vectors() { - for tv in crate::primitives::poseidon::test_vectors::fp::hash() { - let message = [ - Fp::from_repr(tv.input[0]).unwrap(), - Fp::from_repr(tv.input[1]).unwrap(), - ]; - - let result = - Hash::<_, super::P128Pow5T3, ConstantLength<2>, 3, 2>::init().hash(message); - - assert_eq!(result.to_repr(), tv.output); - } - - for tv in crate::primitives::poseidon::test_vectors::fq::hash() { - let message = [ - Fq::from_repr(tv.input[0]).unwrap(), - Fq::from_repr(tv.input[1]).unwrap(), - ]; - - let result = - Hash::<_, super::P128Pow5T3, ConstantLength<2>, 3, 2>::init().hash(message); - - assert_eq!(result.to_repr(), tv.output); - } - } -} diff --git a/src/primitives/poseidon/test_vectors.rs b/src/primitives/poseidon/test_vectors.rs deleted file mode 100644 index 1c345a48..00000000 --- a/src/primitives/poseidon/test_vectors.rs +++ /dev/null @@ -1,1261 +0,0 @@ -//! Test vectors for [`OrchardNullifier`]. - -pub(crate) struct PermuteTestVector { - pub(crate) initial_state: [[u8; 32]; 3], - pub(crate) final_state: [[u8; 32]; 3], -} - -pub(crate) struct HashTestVector { - pub(crate) input: [[u8; 32]; 2], - pub(crate) output: [u8; 32], -} - -pub(crate) mod fp { - use super::*; - - pub(crate) fn permute() -> Vec { - use PermuteTestVector as TestVector; - - // From https://github.com/zcash-hackworks/zcash-test-vectors/blob/master/orchard_poseidon/permute/fp.py - vec![ - TestVector { - initial_state: [ - [ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - [ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - [ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - ], - final_state: [ - [ - 0x56, 0xa4, 0xec, 0x4a, 0x02, 0xbc, 0xb1, 0xae, 0xa0, 0x42, 0xb6, 0xd0, - 0x71, 0x9a, 0xe6, 0xf7, 0x0f, 0x24, 0x66, 0xf9, 0x64, 0xb3, 0xef, 0x94, - 0x53, 0xb4, 0x64, 0x0b, 0xcd, 0x6a, 0x52, 0x2a, - ], - [ - 0x2a, 0xb8, 0xe5, 0x28, 0x96, 0x3e, 0x2a, 0x01, 0xfe, 0xda, 0xd9, 0xbe, - 0x7f, 0x2e, 0xd4, 0xdc, 0x12, 0x55, 0x3d, 0x34, 0xae, 0x7d, 0xff, 0x76, - 0x30, 0xa4, 0x4a, 0x8b, 0x56, 0xd1, 0xc5, 0x13, - ], - [ - 0xdd, 0x9d, 0x4e, 0xd3, 0xa1, 0x29, 0x90, 0x35, 0x7b, 0x2c, 0xa4, 0xbd, - 0xe1, 0xdf, 0xcf, 0xf7, 0x1a, 0x56, 0x84, 0x79, 0x59, 0xcd, 0x6f, 0x25, - 0x44, 0x65, 0x97, 0xc6, 0x68, 0xc8, 0x49, 0x0a, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x5c, 0x7a, 0x8f, 0x73, 0xad, 0xfc, 0x70, 0xfb, 0x3f, 0x13, 0x94, 0x49, - 0xac, 0x6b, 0x57, 0x07, 0x4c, 0x4d, 0x6e, 0x66, 0xb1, 0x64, 0x93, 0x9d, - 0xaf, 0xfa, 0x2e, 0xf6, 0xee, 0x69, 0x21, 0x08, - ], - [ - 0x1a, 0xdd, 0x86, 0xb3, 0xf2, 0xe1, 0xbd, 0xa6, 0x2a, 0x5d, 0x2e, 0x0e, - 0x98, 0x2b, 0x77, 0xe6, 0xb0, 0xef, 0x9c, 0xa3, 0xf2, 0x49, 0x88, 0xc7, - 0xb3, 0x53, 0x42, 0x01, 0xcf, 0xb1, 0xcd, 0x0d, - ], - [ - 0xbd, 0x69, 0xb8, 0x25, 0x32, 0xb6, 0x94, 0x0f, 0xf2, 0x59, 0x0f, 0x67, - 0x9b, 0xa9, 0xc7, 0x27, 0x1f, 0xe0, 0x1f, 0x7e, 0x9c, 0x8e, 0x36, 0xd6, - 0xa5, 0xe2, 0x9d, 0x4e, 0x30, 0xa7, 0x35, 0x14, - ], - ], - final_state: [ - [ - 0xd0, 0x6e, 0x2f, 0x83, 0x38, 0x92, 0x8a, 0x7e, 0xe7, 0x38, 0x0c, 0x77, - 0x92, 0x80, 0x87, 0xcd, 0xa2, 0xfd, 0x29, 0x61, 0xa1, 0x52, 0x69, 0x03, - 0x7a, 0x22, 0xd6, 0xd1, 0x20, 0xae, 0xdd, 0x21, - ], - [ - 0x29, 0x55, 0xa4, 0x5f, 0x41, 0x6f, 0x10, 0xd6, 0xbc, 0x79, 0xac, 0x94, - 0xd0, 0xc0, 0x69, 0xc9, 0x49, 0xe5, 0xf4, 0xbd, 0x09, 0x48, 0x1e, 0x1f, - 0x36, 0x8c, 0xb9, 0xb8, 0xee, 0x51, 0x14, 0x0d, - ], - [ - 0x0d, 0x83, 0x76, 0xbb, 0xe9, 0xd6, 0x5d, 0x2b, 0x1e, 0x13, 0x6f, 0xb7, - 0xd9, 0x82, 0xab, 0x87, 0xc5, 0x1c, 0x40, 0x30, 0x44, 0xbe, 0x5c, 0x79, - 0x9d, 0x56, 0xbb, 0x68, 0xac, 0xf9, 0x5b, 0x10, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0xbc, 0x50, 0x98, 0x42, 0x55, 0xd6, 0xaf, 0xbe, 0x9e, 0xf9, 0x28, 0x48, - 0xed, 0x5a, 0xc0, 0x08, 0x62, 0xc2, 0xfa, 0x7b, 0x2f, 0xec, 0xbc, 0xb6, - 0x4b, 0x69, 0x68, 0x91, 0x2a, 0x63, 0x81, 0x0e, - ], - [ - 0x3d, 0xc1, 0x66, 0xd5, 0x6a, 0x1d, 0x62, 0xf5, 0xa8, 0xd7, 0x55, 0x1d, - 0xb5, 0xfd, 0x93, 0x13, 0xe8, 0xc7, 0x20, 0x3d, 0x99, 0x6a, 0xf7, 0xd4, - 0x77, 0x08, 0x37, 0x56, 0xd5, 0x9a, 0xf8, 0x0d, - ], - [ - 0x05, 0xa7, 0x45, 0xf4, 0x5d, 0x7f, 0xf6, 0xdb, 0x10, 0xbc, 0x67, 0xfd, - 0xf0, 0xf0, 0x3e, 0xbf, 0x81, 0x30, 0xab, 0x33, 0x36, 0x26, 0x97, 0xb0, - 0xe4, 0xe4, 0xc7, 0x63, 0xcc, 0xb8, 0xf6, 0x36, - ], - ], - final_state: [ - [ - 0x0b, 0x77, 0xec, 0x53, 0x07, 0x14, 0x5a, 0x0c, 0x05, 0x2d, 0xc7, 0xa9, - 0xd6, 0xf9, 0x6a, 0xc3, 0x41, 0xae, 0x72, 0x64, 0x08, 0x32, 0xd5, 0x8e, - 0x51, 0xeb, 0x92, 0xa4, 0x17, 0x80, 0x17, 0x12, - ], - [ - 0x3b, 0x52, 0x3f, 0x44, 0xf0, 0x0e, 0x46, 0x3f, 0x8b, 0x0f, 0xd7, 0xd4, - 0xfc, 0x0e, 0x28, 0x0c, 0xdb, 0xde, 0xb9, 0x27, 0xf1, 0x81, 0x68, 0x07, - 0x7b, 0xb3, 0x62, 0xf2, 0x67, 0x5a, 0x2e, 0x18, - ], - [ - 0x95, 0x7a, 0x97, 0x06, 0xff, 0xcc, 0x35, 0x15, 0x64, 0xae, 0x80, 0x2a, - 0x99, 0x11, 0x31, 0x4c, 0x05, 0xe2, 0x3e, 0x22, 0xaf, 0xcf, 0x83, 0x40, - 0x59, 0xdf, 0x80, 0xfa, 0xc1, 0x05, 0x76, 0x26, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x49, 0x5c, 0x22, 0x2f, 0x7f, 0xba, 0x1e, 0x31, 0xde, 0xfa, 0x3d, 0x5a, - 0x57, 0xef, 0xc2, 0xe1, 0xe9, 0xb0, 0x1a, 0x03, 0x55, 0x87, 0xd5, 0xfb, - 0x1a, 0x38, 0xe0, 0x1d, 0x94, 0x90, 0x3d, 0x3c, - ], - [ - 0x3d, 0x0a, 0xd3, 0x36, 0x1f, 0xec, 0x09, 0x77, 0x90, 0xd9, 0xbe, 0x0e, - 0x42, 0x98, 0x8d, 0x7d, 0x25, 0xc9, 0xa1, 0x38, 0xf4, 0x9b, 0x1a, 0x53, - 0x7e, 0xdc, 0xf0, 0x4b, 0xe3, 0x4a, 0x98, 0x11, - ], - [ - 0xa4, 0xaf, 0x9d, 0xb6, 0xd2, 0x7b, 0x50, 0x72, 0x83, 0x5f, 0x0c, 0x3e, - 0x88, 0x39, 0x5e, 0xd7, 0xa4, 0x1b, 0x00, 0x52, 0xad, 0x80, 0x84, 0xa8, - 0xb9, 0xda, 0x94, 0x8d, 0x32, 0x0d, 0xad, 0x16, - ], - ], - final_state: [ - [ - 0x67, 0x80, 0x08, 0x3f, 0x7f, 0x82, 0xcb, 0x42, 0x54, 0xe7, 0xb6, 0x6f, - 0x4b, 0x83, 0x84, 0x6a, 0xc9, 0x77, 0x3f, 0xb9, 0xc3, 0x9c, 0x6e, 0xc9, - 0x81, 0x8b, 0x06, 0x22, 0x23, 0x09, 0x55, 0x2a, - ], - [ - 0xa5, 0xf9, 0xa5, 0x7e, 0x2c, 0x40, 0xb1, 0x58, 0xd8, 0x16, 0x53, 0x43, - 0xe6, 0x02, 0x65, 0x2c, 0x3e, 0xfc, 0x0b, 0x64, 0xdd, 0xca, 0xee, 0xe5, - 0xce, 0x3d, 0x95, 0x1f, 0xd5, 0x9f, 0x50, 0x08, - ], - [ - 0xdc, 0xa4, 0x64, 0x36, 0x12, 0x7c, 0x47, 0x7e, 0x83, 0x95, 0x0f, 0xa0, - 0x7c, 0xc6, 0x8a, 0x56, 0x6e, 0x54, 0x18, 0x55, 0xad, 0xc2, 0x68, 0x52, - 0x97, 0x87, 0x35, 0x24, 0x88, 0x92, 0x1e, 0x3b, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x4d, 0x54, 0x31, 0xe6, 0x43, 0x7d, 0x0b, 0x5b, 0xed, 0xbb, 0xcd, 0xaf, - 0x34, 0x5b, 0x86, 0xc4, 0x12, 0x1f, 0xc0, 0x0f, 0xe7, 0xf2, 0x35, 0x73, - 0x42, 0x76, 0xd3, 0x8d, 0x47, 0xf1, 0xe1, 0x11, - ], - [ - 0xdd, 0x0c, 0x7a, 0x1d, 0x81, 0x1c, 0x7d, 0x9c, 0xd4, 0x6d, 0x37, 0x7b, - 0x3f, 0xde, 0xab, 0x3f, 0xb6, 0x79, 0xf3, 0xdc, 0x60, 0x1d, 0x00, 0x82, - 0x85, 0xed, 0xcb, 0xda, 0xe6, 0x9c, 0xe8, 0x3c, - ], - [ - 0x19, 0xe4, 0xaa, 0xc0, 0x35, 0x90, 0x17, 0xec, 0x85, 0xa1, 0x83, 0xd2, - 0x20, 0x53, 0xdb, 0x33, 0xf7, 0x34, 0x76, 0xf2, 0x1a, 0x48, 0x2e, 0xc9, - 0x37, 0x83, 0x65, 0xc8, 0xf7, 0x39, 0x3c, 0x14, - ], - ], - final_state: [ - [ - 0x89, 0x99, 0x8e, 0x5e, 0x0f, 0xa1, 0x95, 0x2a, 0x40, 0xb8, 0xb5, 0x2b, - 0x62, 0xd9, 0x45, 0x70, 0xa4, 0x9a, 0x7d, 0x91, 0xdd, 0x22, 0x6d, 0x69, - 0x2b, 0xc9, 0xb1, 0xa6, 0x13, 0xc9, 0x08, 0x30, - ], - [ - 0xd0, 0xee, 0x44, 0xd9, 0xa9, 0x0d, 0x90, 0x79, 0xef, 0xfb, 0x24, 0x86, - 0xd3, 0xd8, 0x4d, 0x1a, 0x18, 0x4e, 0xdf, 0x14, 0x97, 0x0b, 0xac, 0x36, - 0xc7, 0x48, 0x04, 0xc7, 0xff, 0xbe, 0xe5, 0x0b, - ], - [ - 0x04, 0x81, 0x45, 0xa6, 0x61, 0xce, 0x78, 0x7c, 0x7e, 0x12, 0x2a, 0xc6, - 0x44, 0x7e, 0x9b, 0xa3, 0x93, 0xd3, 0x67, 0xac, 0x05, 0x4f, 0xaa, 0xc5, - 0xb7, 0xb5, 0xf7, 0x19, 0x2b, 0x2f, 0xde, 0x21, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0xe2, 0x88, 0x53, 0x15, 0xeb, 0x46, 0x71, 0x09, 0x8b, 0x79, 0x53, 0x5e, - 0x79, 0x0f, 0xe5, 0x3e, 0x29, 0xfe, 0xf2, 0xb3, 0x76, 0x66, 0x97, 0xac, - 0x32, 0xb4, 0xf4, 0x73, 0xf4, 0x68, 0xa0, 0x08, - ], - [ - 0xe6, 0x23, 0x89, 0xfc, 0x16, 0x57, 0xe0, 0xde, 0xf0, 0xb6, 0x32, 0xc6, - 0xae, 0x25, 0xf9, 0xf7, 0x83, 0xb2, 0x7d, 0xb5, 0x9a, 0x4a, 0x15, 0x3d, - 0x88, 0x2d, 0x2b, 0x21, 0x03, 0x59, 0x65, 0x15, - ], - [ - 0xeb, 0x94, 0x94, 0xc6, 0xd2, 0x27, 0xe2, 0x16, 0x3b, 0x46, 0x99, 0xd9, - 0x91, 0xf4, 0x33, 0xbf, 0x94, 0x86, 0xa7, 0xaf, 0xcf, 0x4a, 0x0d, 0x9c, - 0x73, 0x1e, 0x98, 0x5d, 0x99, 0x58, 0x9c, 0x0b, - ], - ], - final_state: [ - [ - 0xce, 0x2d, 0x1f, 0x8d, 0x67, 0x7f, 0xfb, 0xfd, 0x73, 0xb2, 0x35, 0xe8, - 0xc6, 0x87, 0xfb, 0x42, 0x18, 0x7f, 0x78, 0x81, 0xc3, 0xce, 0x9c, 0x79, - 0x4f, 0x2b, 0xd4, 0x61, 0x40, 0xf7, 0xcc, 0x2a, - ], - [ - 0xaf, 0x82, 0x92, 0x39, 0xb6, 0xd5, 0x5d, 0x5f, 0x43, 0xec, 0x6f, 0x32, - 0xb8, 0x4a, 0x2a, 0x01, 0x1e, 0x64, 0xc5, 0x74, 0x73, 0x9f, 0x87, 0xcb, - 0x47, 0xdc, 0x70, 0x23, 0x83, 0xfa, 0x5a, 0x34, - ], - [ - 0x03, 0xd1, 0x08, 0x5b, 0x21, 0x4c, 0x69, 0xb8, 0xbf, 0xe8, 0x91, 0x02, - 0xbd, 0x61, 0x7e, 0xce, 0x0c, 0x54, 0x00, 0x17, 0x96, 0x40, 0x41, 0x05, - 0xc5, 0x33, 0x30, 0xd2, 0x49, 0x58, 0x1d, 0x0f, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0xb7, 0x38, 0xe8, 0xaa, 0x0a, 0x15, 0x26, 0xa5, 0xbd, 0xef, 0x61, 0x31, - 0x20, 0x37, 0x2e, 0x83, 0x1a, 0x20, 0xda, 0x8a, 0xba, 0x18, 0xd1, 0xdb, - 0xeb, 0xbc, 0x86, 0x2d, 0xed, 0x42, 0x43, 0x1e, - ], - [ - 0x91, 0x47, 0x69, 0x30, 0xe3, 0x38, 0x5c, 0xd3, 0xe3, 0x37, 0x9e, 0x38, - 0x53, 0xd9, 0x34, 0x67, 0xe0, 0x01, 0xaf, 0xa2, 0xfb, 0x8d, 0xc3, 0x43, - 0x6d, 0x75, 0xa4, 0xa6, 0xf2, 0x65, 0x72, 0x10, - ], - [ - 0x4b, 0x19, 0x22, 0x32, 0xec, 0xb9, 0xf0, 0xc0, 0x24, 0x11, 0xe5, 0x25, - 0x96, 0xbc, 0x5e, 0x90, 0x45, 0x7e, 0x74, 0x59, 0x39, 0xff, 0xed, 0xbd, - 0x12, 0x86, 0x3c, 0xe7, 0x1a, 0x02, 0xaf, 0x11, - ], - ], - final_state: [ - [ - 0x5f, 0xcc, 0xd8, 0x7d, 0x2f, 0x66, 0x7b, 0x9e, 0xe3, 0x88, 0xf3, 0x4c, - 0x1c, 0x71, 0x06, 0x87, 0x12, 0x7b, 0xff, 0x5b, 0x02, 0x21, 0xfd, 0x8a, - 0x52, 0x94, 0x88, 0x66, 0x91, 0x57, 0x94, 0x2b, - ], - [ - 0x89, 0x62, 0xb5, 0x80, 0x30, 0xaa, 0x63, 0x52, 0xd9, 0x90, 0xf3, 0xb9, - 0x00, 0x1c, 0xcb, 0xe8, 0x8a, 0x56, 0x27, 0x58, 0x1b, 0xbf, 0xb9, 0x01, - 0xac, 0x4a, 0x6a, 0xed, 0xfa, 0xe5, 0xc6, 0x34, - ], - [ - 0x7c, 0x0b, 0x76, 0x59, 0xf2, 0x4c, 0x98, 0xaf, 0x31, 0x0e, 0x3e, 0x8d, - 0x82, 0xb5, 0xf3, 0x99, 0x43, 0x3c, 0xdd, 0xa5, 0x8f, 0x48, 0xd9, 0xef, - 0x8d, 0xd0, 0xca, 0x86, 0x42, 0x72, 0xda, 0x3f, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x7b, 0x41, 0x7a, 0xdb, 0x63, 0xb3, 0x71, 0x22, 0xa5, 0xbf, 0x62, 0xd2, - 0x6f, 0x1e, 0x7f, 0x26, 0x8f, 0xb8, 0x6b, 0x12, 0xb5, 0x6d, 0xa9, 0xc3, - 0x82, 0x85, 0x7d, 0xee, 0xcc, 0x40, 0xa9, 0x0d, - ], - [ - 0x5e, 0x29, 0x35, 0x39, 0x71, 0xb3, 0x49, 0x94, 0xb6, 0x21, 0xb0, 0xb2, - 0x61, 0xae, 0xb3, 0x78, 0x6d, 0xd9, 0x84, 0xd5, 0x67, 0xdb, 0x28, 0x57, - 0xb9, 0x27, 0xb7, 0xfa, 0xe2, 0xdb, 0x58, 0x31, - ], - [ - 0x05, 0x41, 0x5d, 0x46, 0x42, 0x78, 0x9d, 0x38, 0xf5, 0x0b, 0x8d, 0xbc, - 0xc1, 0x29, 0xca, 0xb3, 0xd1, 0x7d, 0x19, 0xf3, 0x35, 0x5b, 0xcf, 0x73, - 0xce, 0xcb, 0x8c, 0xb8, 0xa5, 0xda, 0x01, 0x30, - ], - ], - final_state: [ - [ - 0x9e, 0xe1, 0xad, 0xdc, 0x6f, 0x64, 0xda, 0xb6, 0xac, 0xdc, 0xea, 0xec, - 0xc1, 0xfb, 0xbc, 0x8a, 0x32, 0x45, 0x8e, 0x49, 0xc1, 0x9e, 0x79, 0x85, - 0x56, 0xc6, 0x4b, 0x59, 0x8b, 0xa6, 0xff, 0x14, - ], - [ - 0x42, 0xcc, 0x10, 0x36, 0x4f, 0xd6, 0x59, 0xc3, 0xcc, 0x77, 0x25, 0x84, - 0xdb, 0x91, 0xc4, 0x9a, 0x38, 0x67, 0x2b, 0x69, 0x24, 0x93, 0xb9, 0x07, - 0x5f, 0x16, 0x53, 0xca, 0x1f, 0xae, 0x1c, 0x33, - ], - [ - 0xff, 0x41, 0xf3, 0x51, 0x80, 0x14, 0x56, 0xc4, 0x96, 0x0b, 0x39, 0x3a, - 0xff, 0xa8, 0x62, 0x13, 0xa7, 0xea, 0xc0, 0x6c, 0x66, 0x21, 0x3b, 0x45, - 0xc3, 0xb5, 0x0e, 0xc6, 0x48, 0xd6, 0x7d, 0x0d, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x71, 0x52, 0xf1, 0x39, 0x36, 0xa2, 0x70, 0x57, 0x26, 0x70, 0xdc, 0x82, - 0xd3, 0x90, 0x26, 0xc6, 0xcb, 0x4c, 0xd4, 0xb0, 0xf7, 0xf5, 0xaa, 0x2a, - 0x4f, 0x5a, 0x53, 0x41, 0xec, 0x5d, 0xd7, 0x15, - ], - [ - 0x40, 0x6f, 0x2f, 0xdd, 0x2a, 0xfa, 0x73, 0x3f, 0x5f, 0x64, 0x1c, 0x8c, - 0x21, 0x86, 0x2a, 0x1b, 0xaf, 0xce, 0x26, 0x09, 0xd9, 0xee, 0xcf, 0xa1, - 0x58, 0xcf, 0xb5, 0xcd, 0x79, 0xf8, 0x80, 0x08, - ], - [ - 0xe2, 0x15, 0xdc, 0x7d, 0x96, 0x57, 0xba, 0xd3, 0xfb, 0x88, 0xb0, 0x1e, - 0x99, 0x38, 0x44, 0x54, 0x36, 0x24, 0xc2, 0x5f, 0xa9, 0x59, 0xcc, 0x97, - 0x48, 0x9c, 0xe7, 0x57, 0x45, 0x82, 0x4b, 0x37, - ], - ], - final_state: [ - [ - 0x63, 0x09, 0x15, 0xd7, 0xd8, 0x25, 0xeb, 0x74, 0x37, 0xb0, 0xe4, 0x6e, - 0x37, 0x28, 0x6a, 0x88, 0xb3, 0x89, 0xdc, 0x69, 0x85, 0x93, 0x07, 0x11, - 0x6d, 0x34, 0x7b, 0x98, 0xca, 0x14, 0x5c, 0x31, - ], - [ - 0xaa, 0x58, 0x1b, 0xae, 0xe9, 0x4f, 0xb5, 0x46, 0xa7, 0x61, 0xf1, 0x7a, - 0x5d, 0x6e, 0xaa, 0x70, 0x29, 0x52, 0x78, 0x42, 0xf3, 0x1c, 0x39, 0x87, - 0xb8, 0x68, 0xed, 0x7d, 0xaf, 0xfd, 0xb5, 0x34, - ], - [ - 0x7d, 0xc1, 0x17, 0xb3, 0x39, 0x1a, 0xab, 0x85, 0xde, 0x9f, 0x42, 0x4d, - 0xb6, 0x65, 0x1e, 0x00, 0x45, 0xab, 0x79, 0x98, 0xf2, 0x8e, 0x54, 0x10, - 0x15, 0x35, 0x90, 0x61, 0x99, 0xce, 0x1f, 0x1a, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x86, 0x8c, 0x53, 0x23, 0x9c, 0xfb, 0xdf, 0x73, 0xca, 0xec, 0x65, 0x60, - 0x40, 0x37, 0x31, 0x4f, 0xaa, 0xce, 0xb5, 0x62, 0x18, 0xc6, 0xbd, 0x30, - 0xf8, 0x37, 0x4a, 0xc1, 0x33, 0x86, 0x79, 0x3f, - ], - [ - 0x21, 0xa9, 0xfb, 0x80, 0xad, 0x03, 0xbc, 0x0c, 0xda, 0x4a, 0x44, 0x94, - 0x6c, 0x00, 0xe1, 0xb1, 0xa1, 0xdf, 0x0e, 0x5b, 0x87, 0xb5, 0xbe, 0xce, - 0x47, 0x7a, 0x70, 0x96, 0x49, 0xe9, 0x50, 0x06, - ], - [ - 0x04, 0x91, 0x39, 0x48, 0x25, 0x64, 0xf1, 0x85, 0xc7, 0x90, 0x0e, 0x83, - 0xc7, 0x38, 0x07, 0x0a, 0xf6, 0x55, 0x6d, 0xf6, 0xed, 0x4b, 0x4d, 0xdd, - 0x3d, 0x9a, 0x69, 0xf5, 0x33, 0x57, 0xd7, 0x36, - ], - ], - final_state: [ - [ - 0x6a, 0x5a, 0x19, 0x19, 0xa4, 0x49, 0xa5, 0xe0, 0x29, 0x71, 0x1f, 0x48, - 0x8a, 0xdb, 0xd6, 0xb0, 0x3e, 0x5c, 0x92, 0x7b, 0x6f, 0x9d, 0x9d, 0x35, - 0xc5, 0xb3, 0xcc, 0xeb, 0x76, 0x60, 0x52, 0x03, - ], - [ - 0x80, 0x47, 0x5b, 0x46, 0x89, 0x59, 0x61, 0x47, 0xab, 0x2a, 0xdf, 0x01, - 0x73, 0xdb, 0x28, 0x9b, 0x3a, 0x26, 0xa1, 0x04, 0x84, 0x21, 0x73, 0xe8, - 0x8b, 0xdb, 0xfe, 0xc0, 0x4a, 0x28, 0x67, 0x1b, - ], - [ - 0x1e, 0xf3, 0xc8, 0xd0, 0xf5, 0x44, 0x44, 0xf5, 0x55, 0xb1, 0x5f, 0x7b, - 0xc9, 0xfa, 0x4f, 0xfa, 0x0f, 0x56, 0x7c, 0x0f, 0x19, 0xac, 0x7d, 0x0f, - 0xf9, 0x44, 0xfd, 0x36, 0x42, 0x6e, 0x32, 0x3a, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x7d, 0x4f, 0x5c, 0xcb, 0x01, 0x64, 0x3c, 0x31, 0xdb, 0x84, 0x5e, 0xec, - 0xd5, 0xd6, 0x3d, 0xc1, 0x6a, 0x95, 0xe3, 0x02, 0x5b, 0x97, 0x92, 0xff, - 0xf7, 0xf2, 0x44, 0xfc, 0x71, 0x62, 0x69, 0x39, - ], - [ - 0x26, 0xd6, 0x2e, 0x95, 0x96, 0xfa, 0x82, 0x5c, 0x6b, 0xf2, 0x1a, 0xff, - 0x9e, 0x68, 0x62, 0x5a, 0x19, 0x24, 0x40, 0xea, 0x06, 0x82, 0x81, 0x23, - 0xd9, 0x78, 0x84, 0x80, 0x6f, 0x15, 0xfa, 0x08, - ], - [ - 0xd9, 0x52, 0x75, 0x4a, 0x23, 0x64, 0xb6, 0x66, 0xff, 0xc3, 0x0f, 0xdb, - 0x01, 0x47, 0x86, 0xda, 0x3a, 0x61, 0x28, 0xae, 0xf7, 0x84, 0xa6, 0x46, - 0x10, 0xa8, 0x9d, 0x1a, 0x70, 0x99, 0x21, 0x2d, - ], - ], - final_state: [ - [ - 0x1b, 0x4a, 0xc9, 0xbe, 0xf5, 0x6b, 0xdb, 0x6f, 0xb4, 0x2d, 0x3e, 0x3c, - 0xd3, 0xa2, 0xac, 0x70, 0xa4, 0xc4, 0x0c, 0x42, 0x5b, 0x0b, 0xd6, 0x67, - 0x9c, 0xa5, 0x7b, 0x30, 0x7e, 0xf1, 0xd4, 0x2f, - ], - [ - 0x1a, 0x2e, 0xf4, 0x11, 0x94, 0xaa, 0xa2, 0x34, 0x32, 0xe0, 0x86, 0xed, - 0x8a, 0xdb, 0xd1, 0xde, 0xec, 0x3c, 0x7c, 0xb3, 0x96, 0xde, 0x35, 0xba, - 0xe9, 0x5a, 0xaf, 0x5a, 0x08, 0xa0, 0xec, 0x36, - ], - [ - 0x68, 0xeb, 0x80, 0xc7, 0x3e, 0x2c, 0xcb, 0xde, 0xe1, 0xba, 0x71, 0x24, - 0x77, 0x61, 0xd5, 0xb5, 0xec, 0xc6, 0x20, 0xe6, 0xe4, 0x8e, 0x00, 0x3b, - 0x02, 0x3d, 0x9f, 0x55, 0x61, 0x66, 0x2f, 0x20, - ], - ], - }, - ] - } - - pub(crate) fn hash() -> Vec { - use HashTestVector as TestVector; - - // From https://github.com/zcash-hackworks/zcash-test-vectors/blob/master/orchard_poseidon/hash/fp.py - vec![ - TestVector { - input: [ - [ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - [ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - ], - output: [ - 0x83, 0x58, 0xd7, 0x11, 0xa0, 0x32, 0x9d, 0x38, 0xbe, 0xcd, 0x54, 0xfb, 0xa7, - 0xc2, 0x83, 0xed, 0x3e, 0x08, 0x9a, 0x39, 0xc9, 0x1b, 0x6a, 0x9d, 0x10, 0xef, - 0xb0, 0x2b, 0xc3, 0xf1, 0x2f, 0x06, - ], - }, - TestVector { - input: [ - [ - 0x5c, 0x7a, 0x8f, 0x73, 0xad, 0xfc, 0x70, 0xfb, 0x3f, 0x13, 0x94, 0x49, - 0xac, 0x6b, 0x57, 0x07, 0x4c, 0x4d, 0x6e, 0x66, 0xb1, 0x64, 0x93, 0x9d, - 0xaf, 0xfa, 0x2e, 0xf6, 0xee, 0x69, 0x21, 0x08, - ], - [ - 0x1a, 0xdd, 0x86, 0xb3, 0xf2, 0xe1, 0xbd, 0xa6, 0x2a, 0x5d, 0x2e, 0x0e, - 0x98, 0x2b, 0x77, 0xe6, 0xb0, 0xef, 0x9c, 0xa3, 0xf2, 0x49, 0x88, 0xc7, - 0xb3, 0x53, 0x42, 0x01, 0xcf, 0xb1, 0xcd, 0x0d, - ], - ], - output: [ - 0xdb, 0x26, 0x75, 0xff, 0x3e, 0xf8, 0xfe, 0x30, 0xc4, 0xd5, 0xde, 0x61, 0xca, - 0xc0, 0x2a, 0x8e, 0xf1, 0xa0, 0x85, 0x23, 0xbe, 0x92, 0x39, 0x4b, 0x79, 0xd2, - 0x67, 0x26, 0x30, 0x3b, 0xe6, 0x03, - ], - }, - TestVector { - input: [ - [ - 0xbd, 0x69, 0xb8, 0x25, 0x32, 0xb6, 0x94, 0x0f, 0xf2, 0x59, 0x0f, 0x67, - 0x9b, 0xa9, 0xc7, 0x27, 0x1f, 0xe0, 0x1f, 0x7e, 0x9c, 0x8e, 0x36, 0xd6, - 0xa5, 0xe2, 0x9d, 0x4e, 0x30, 0xa7, 0x35, 0x14, - ], - [ - 0xbc, 0x50, 0x98, 0x42, 0x55, 0xd6, 0xaf, 0xbe, 0x9e, 0xf9, 0x28, 0x48, - 0xed, 0x5a, 0xc0, 0x08, 0x62, 0xc2, 0xfa, 0x7b, 0x2f, 0xec, 0xbc, 0xb6, - 0x4b, 0x69, 0x68, 0x91, 0x2a, 0x63, 0x81, 0x0e, - ], - ], - output: [ - 0xf5, 0x12, 0x1d, 0x1e, 0x1d, 0x5c, 0xfe, 0x8d, 0xa8, 0x96, 0xac, 0x0f, 0x9c, - 0x18, 0x3d, 0x76, 0x00, 0x31, 0xf6, 0xef, 0x8c, 0x7a, 0x41, 0xe6, 0x5e, 0xb0, - 0x07, 0xcd, 0xdc, 0x1d, 0x14, 0x3d, - ], - }, - TestVector { - input: [ - [ - 0x3d, 0xc1, 0x66, 0xd5, 0x6a, 0x1d, 0x62, 0xf5, 0xa8, 0xd7, 0x55, 0x1d, - 0xb5, 0xfd, 0x93, 0x13, 0xe8, 0xc7, 0x20, 0x3d, 0x99, 0x6a, 0xf7, 0xd4, - 0x77, 0x08, 0x37, 0x56, 0xd5, 0x9a, 0xf8, 0x0d, - ], - [ - 0x05, 0xa7, 0x45, 0xf4, 0x5d, 0x7f, 0xf6, 0xdb, 0x10, 0xbc, 0x67, 0xfd, - 0xf0, 0xf0, 0x3e, 0xbf, 0x81, 0x30, 0xab, 0x33, 0x36, 0x26, 0x97, 0xb0, - 0xe4, 0xe4, 0xc7, 0x63, 0xcc, 0xb8, 0xf6, 0x36, - ], - ], - output: [ - 0xa4, 0x16, 0xa5, 0xe7, 0x13, 0x51, 0x36, 0xa0, 0x50, 0x56, 0x90, 0x00, 0x58, - 0xfa, 0x50, 0xbf, 0x18, 0x6a, 0xd7, 0x33, 0x90, 0xac, 0xe6, 0x32, 0x3d, 0x8d, - 0x81, 0xaa, 0x8a, 0xdb, 0xd4, 0x11, - ], - }, - TestVector { - input: [ - [ - 0x49, 0x5c, 0x22, 0x2f, 0x7f, 0xba, 0x1e, 0x31, 0xde, 0xfa, 0x3d, 0x5a, - 0x57, 0xef, 0xc2, 0xe1, 0xe9, 0xb0, 0x1a, 0x03, 0x55, 0x87, 0xd5, 0xfb, - 0x1a, 0x38, 0xe0, 0x1d, 0x94, 0x90, 0x3d, 0x3c, - ], - [ - 0x3d, 0x0a, 0xd3, 0x36, 0x1f, 0xec, 0x09, 0x77, 0x90, 0xd9, 0xbe, 0x0e, - 0x42, 0x98, 0x8d, 0x7d, 0x25, 0xc9, 0xa1, 0x38, 0xf4, 0x9b, 0x1a, 0x53, - 0x7e, 0xdc, 0xf0, 0x4b, 0xe3, 0x4a, 0x98, 0x11, - ], - ], - output: [ - 0x1a, 0xba, 0xf3, 0x06, 0xfe, 0xd0, 0x5f, 0xa8, 0x92, 0x84, 0x8c, 0x49, 0xf6, - 0xba, 0x10, 0x41, 0x63, 0x43, 0x3f, 0x3f, 0x63, 0x31, 0x08, 0xa1, 0x3b, 0xc1, - 0x5b, 0x2a, 0x1d, 0x55, 0xd4, 0x0c, - ], - }, - TestVector { - input: [ - [ - 0xa4, 0xaf, 0x9d, 0xb6, 0xd2, 0x7b, 0x50, 0x72, 0x83, 0x5f, 0x0c, 0x3e, - 0x88, 0x39, 0x5e, 0xd7, 0xa4, 0x1b, 0x00, 0x52, 0xad, 0x80, 0x84, 0xa8, - 0xb9, 0xda, 0x94, 0x8d, 0x32, 0x0d, 0xad, 0x16, - ], - [ - 0x4d, 0x54, 0x31, 0xe6, 0x43, 0x7d, 0x0b, 0x5b, 0xed, 0xbb, 0xcd, 0xaf, - 0x34, 0x5b, 0x86, 0xc4, 0x12, 0x1f, 0xc0, 0x0f, 0xe7, 0xf2, 0x35, 0x73, - 0x42, 0x76, 0xd3, 0x8d, 0x47, 0xf1, 0xe1, 0x11, - ], - ], - output: [ - 0x04, 0xa1, 0x8a, 0xeb, 0x59, 0x3f, 0x79, 0x0b, 0x76, 0xa3, 0x99, 0xb7, 0xc1, - 0x52, 0x8a, 0xcd, 0xed, 0xe9, 0x3b, 0x3b, 0x2c, 0x49, 0x6b, 0xd7, 0x1b, 0xd5, - 0x87, 0xcb, 0xd7, 0xcf, 0xdf, 0x35, - ], - }, - TestVector { - input: [ - [ - 0xdd, 0x0c, 0x7a, 0x1d, 0x81, 0x1c, 0x7d, 0x9c, 0xd4, 0x6d, 0x37, 0x7b, - 0x3f, 0xde, 0xab, 0x3f, 0xb6, 0x79, 0xf3, 0xdc, 0x60, 0x1d, 0x00, 0x82, - 0x85, 0xed, 0xcb, 0xda, 0xe6, 0x9c, 0xe8, 0x3c, - ], - [ - 0x19, 0xe4, 0xaa, 0xc0, 0x35, 0x90, 0x17, 0xec, 0x85, 0xa1, 0x83, 0xd2, - 0x20, 0x53, 0xdb, 0x33, 0xf7, 0x34, 0x76, 0xf2, 0x1a, 0x48, 0x2e, 0xc9, - 0x37, 0x83, 0x65, 0xc8, 0xf7, 0x39, 0x3c, 0x14, - ], - ], - output: [ - 0x11, 0x03, 0xcc, 0xdc, 0x00, 0xd0, 0xf3, 0x5f, 0x65, 0x83, 0x14, 0x11, 0x6b, - 0xc2, 0xbc, 0xd9, 0x43, 0x74, 0xa9, 0x1f, 0xf9, 0x87, 0x7e, 0x70, 0x66, 0x33, - 0x29, 0x04, 0x2b, 0xd2, 0xf6, 0x1f, - ], - }, - TestVector { - input: [ - [ - 0xe2, 0x88, 0x53, 0x15, 0xeb, 0x46, 0x71, 0x09, 0x8b, 0x79, 0x53, 0x5e, - 0x79, 0x0f, 0xe5, 0x3e, 0x29, 0xfe, 0xf2, 0xb3, 0x76, 0x66, 0x97, 0xac, - 0x32, 0xb4, 0xf4, 0x73, 0xf4, 0x68, 0xa0, 0x08, - ], - [ - 0xe6, 0x23, 0x89, 0xfc, 0x16, 0x57, 0xe0, 0xde, 0xf0, 0xb6, 0x32, 0xc6, - 0xae, 0x25, 0xf9, 0xf7, 0x83, 0xb2, 0x7d, 0xb5, 0x9a, 0x4a, 0x15, 0x3d, - 0x88, 0x2d, 0x2b, 0x21, 0x03, 0x59, 0x65, 0x15, - ], - ], - output: [ - 0xf8, 0xf8, 0xc6, 0x5f, 0x43, 0x7c, 0x45, 0xbe, 0xac, 0x11, 0xeb, 0x7d, 0x9e, - 0x47, 0x58, 0x6d, 0x87, 0x9a, 0xfd, 0x6f, 0x93, 0x04, 0x35, 0xbe, 0x0c, 0x01, - 0xd1, 0x9c, 0x89, 0x5b, 0x8d, 0x10, - ], - }, - TestVector { - input: [ - [ - 0xeb, 0x94, 0x94, 0xc6, 0xd2, 0x27, 0xe2, 0x16, 0x3b, 0x46, 0x99, 0xd9, - 0x91, 0xf4, 0x33, 0xbf, 0x94, 0x86, 0xa7, 0xaf, 0xcf, 0x4a, 0x0d, 0x9c, - 0x73, 0x1e, 0x98, 0x5d, 0x99, 0x58, 0x9c, 0x0b, - ], - [ - 0xb7, 0x38, 0xe8, 0xaa, 0x0a, 0x15, 0x26, 0xa5, 0xbd, 0xef, 0x61, 0x31, - 0x20, 0x37, 0x2e, 0x83, 0x1a, 0x20, 0xda, 0x8a, 0xba, 0x18, 0xd1, 0xdb, - 0xeb, 0xbc, 0x86, 0x2d, 0xed, 0x42, 0x43, 0x1e, - ], - ], - output: [ - 0x5a, 0xeb, 0x48, 0x96, 0x21, 0xb0, 0x2e, 0x8e, 0x69, 0x27, 0xb9, 0x4f, 0xd2, - 0x9a, 0x61, 0x01, 0x83, 0xdf, 0x7f, 0x42, 0x87, 0xe9, 0xcb, 0xf1, 0xcc, 0xc8, - 0x81, 0xd7, 0xd0, 0xb7, 0x38, 0x27, - ], - }, - TestVector { - input: [ - [ - 0x91, 0x47, 0x69, 0x30, 0xe3, 0x38, 0x5c, 0xd3, 0xe3, 0x37, 0x9e, 0x38, - 0x53, 0xd9, 0x34, 0x67, 0xe0, 0x01, 0xaf, 0xa2, 0xfb, 0x8d, 0xc3, 0x43, - 0x6d, 0x75, 0xa4, 0xa6, 0xf2, 0x65, 0x72, 0x10, - ], - [ - 0x4b, 0x19, 0x22, 0x32, 0xec, 0xb9, 0xf0, 0xc0, 0x24, 0x11, 0xe5, 0x25, - 0x96, 0xbc, 0x5e, 0x90, 0x45, 0x7e, 0x74, 0x59, 0x39, 0xff, 0xed, 0xbd, - 0x12, 0x86, 0x3c, 0xe7, 0x1a, 0x02, 0xaf, 0x11, - ], - ], - output: [ - 0xb0, 0x14, 0x47, 0x20, 0xf5, 0xf2, 0xa2, 0x5d, 0x49, 0x2a, 0x50, 0x4e, 0xc0, - 0x73, 0x7f, 0x09, 0x7e, 0xd8, 0x52, 0x17, 0x4f, 0x55, 0xf5, 0x86, 0x30, 0x91, - 0x30, 0x6c, 0x1a, 0xf2, 0x00, 0x35, - ], - }, - TestVector { - input: [ - [ - 0x7b, 0x41, 0x7a, 0xdb, 0x63, 0xb3, 0x71, 0x22, 0xa5, 0xbf, 0x62, 0xd2, - 0x6f, 0x1e, 0x7f, 0x26, 0x8f, 0xb8, 0x6b, 0x12, 0xb5, 0x6d, 0xa9, 0xc3, - 0x82, 0x85, 0x7d, 0xee, 0xcc, 0x40, 0xa9, 0x0d, - ], - [ - 0x5e, 0x29, 0x35, 0x39, 0x71, 0xb3, 0x49, 0x94, 0xb6, 0x21, 0xb0, 0xb2, - 0x61, 0xae, 0xb3, 0x78, 0x6d, 0xd9, 0x84, 0xd5, 0x67, 0xdb, 0x28, 0x57, - 0xb9, 0x27, 0xb7, 0xfa, 0xe2, 0xdb, 0x58, 0x31, - ], - ], - output: [ - 0xbb, 0xbe, 0xb7, 0x42, 0xd6, 0xe7, 0xc0, 0x1a, 0xdb, 0xf4, 0xd3, 0x85, 0x5e, - 0x35, 0xfe, 0xc4, 0x62, 0x04, 0x30, 0x89, 0xc1, 0x8b, 0xa8, 0x02, 0x90, 0x64, - 0x7b, 0xb0, 0xe5, 0x81, 0xad, 0x11, - ], - }, - ] - } -} - -pub(crate) mod fq { - use super::*; - - pub(crate) fn permute() -> Vec { - use PermuteTestVector as TestVector; - - // From https://github.com/zcash-hackworks/zcash-test-vectors/blob/master/orchard_poseidon/permute/fq.py - vec![ - TestVector { - initial_state: [ - [ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - [ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - [ - 0x02, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - ], - final_state: [ - [ - 0x59, 0xbe, 0xbe, 0x13, 0xa8, 0x8e, 0xb0, 0x0e, 0xc6, 0x36, 0xd3, 0x3d, - 0x97, 0xd1, 0x43, 0x4d, 0xf7, 0x2f, 0x8f, 0x2f, 0xf2, 0x74, 0xdd, 0xed, - 0x7c, 0x2f, 0x94, 0xdb, 0x4c, 0x1f, 0x5a, 0x31, - ], - [ - 0xf1, 0x65, 0xa1, 0x1e, 0xe6, 0x26, 0xf1, 0xf9, 0x98, 0x21, 0xbd, 0x7b, - 0xeb, 0xe0, 0x3e, 0x41, 0x48, 0xaa, 0x13, 0xdd, 0xe0, 0xde, 0x2a, 0x64, - 0xde, 0x2b, 0x64, 0xd7, 0xf2, 0x75, 0xe4, 0x3b, - ], - [ - 0xd9, 0xa0, 0x7b, 0x2a, 0x37, 0x42, 0xd5, 0x14, 0xa0, 0x3f, 0x42, 0xe0, - 0xd4, 0xbf, 0x19, 0x50, 0x60, 0xea, 0xd8, 0x20, 0x24, 0xdb, 0x7f, 0x11, - 0x68, 0x71, 0x53, 0xe9, 0xec, 0x8a, 0xab, 0x25, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x5c, 0x7a, 0x8f, 0x73, 0x79, 0x42, 0x57, 0x08, 0x7e, 0x63, 0x4c, 0x49, - 0xac, 0x6b, 0x57, 0x07, 0x4c, 0x4d, 0x6e, 0x66, 0xb1, 0x64, 0x93, 0x9d, - 0xaf, 0xfa, 0x2e, 0xf6, 0xee, 0x69, 0x21, 0x08, - ], - [ - 0x1a, 0xdd, 0x86, 0xb3, 0x8a, 0x6d, 0x8a, 0xc0, 0xa6, 0xfd, 0x9e, 0x0d, - 0x98, 0x2b, 0x77, 0xe6, 0xb0, 0xef, 0x9c, 0xa3, 0xf2, 0x49, 0x88, 0xc7, - 0xb3, 0x53, 0x42, 0x01, 0xcf, 0xb1, 0xcd, 0x0d, - ], - [ - 0xbd, 0x69, 0xb8, 0x25, 0xca, 0x41, 0x61, 0x29, 0x6e, 0xfa, 0x7f, 0x66, - 0x9b, 0xa9, 0xc7, 0x27, 0x1f, 0xe0, 0x1f, 0x7e, 0x9c, 0x8e, 0x36, 0xd6, - 0xa5, 0xe2, 0x9d, 0x4e, 0x30, 0xa7, 0x35, 0x14, - ], - ], - final_state: [ - [ - 0xcd, 0x8f, 0x83, 0x92, 0xdf, 0xc7, 0x72, 0x8f, 0x5f, 0x6d, 0x85, 0x4c, - 0xc4, 0x60, 0x70, 0xa4, 0x0c, 0xba, 0x7a, 0x80, 0x33, 0x2d, 0xdc, 0x65, - 0xcb, 0xe2, 0x4a, 0xc3, 0xde, 0x23, 0x5e, 0x0e, - ], - [ - 0xc2, 0x53, 0xe5, 0x95, 0x3c, 0x83, 0xaa, 0x8a, 0x23, 0xd4, 0xd5, 0x58, - 0x7f, 0xbf, 0xc0, 0x7e, 0x78, 0x33, 0x1f, 0x7d, 0x46, 0xd1, 0xf5, 0xfa, - 0x54, 0x4d, 0x6a, 0xbd, 0xd4, 0x24, 0x1b, 0x27, - ], - [ - 0xb8, 0xc8, 0x33, 0x9b, 0xf9, 0x47, 0x2a, 0xd1, 0xc5, 0x27, 0xb7, 0x5e, - 0x99, 0x81, 0x2c, 0xa9, 0x1c, 0x5c, 0xbd, 0x7f, 0x4d, 0x46, 0x6f, 0x1a, - 0x13, 0x5a, 0x67, 0x50, 0x66, 0x76, 0x64, 0x34, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0xbc, 0x50, 0x98, 0x42, 0xb9, 0xa7, 0x62, 0xe5, 0x58, 0xea, 0x51, 0x47, - 0xed, 0x5a, 0xc0, 0x08, 0x62, 0xc2, 0xfa, 0x7b, 0x2f, 0xec, 0xbc, 0xb6, - 0x4b, 0x69, 0x68, 0x91, 0x2a, 0x63, 0x81, 0x0e, - ], - [ - 0x3d, 0xc1, 0x66, 0xd5, 0x6a, 0x1d, 0x62, 0xf5, 0xa8, 0xd7, 0x55, 0x1d, - 0xb5, 0xfd, 0x93, 0x13, 0xe8, 0xc7, 0x20, 0x3d, 0x99, 0x6a, 0xf7, 0xd4, - 0x77, 0x08, 0x37, 0x56, 0xd5, 0x9a, 0xf8, 0x0d, - ], - [ - 0x05, 0xa7, 0x45, 0xf4, 0x29, 0xc5, 0xdc, 0xe8, 0x4e, 0x0c, 0x20, 0xfd, - 0xf0, 0xf0, 0x3e, 0xbf, 0x81, 0x30, 0xab, 0x33, 0x36, 0x26, 0x97, 0xb0, - 0xe4, 0xe4, 0xc7, 0x63, 0xcc, 0xb8, 0xf6, 0x36, - ], - ], - final_state: [ - [ - 0xa3, 0x5b, 0x56, 0x64, 0x62, 0x4a, 0x78, 0x49, 0x9e, 0xce, 0xe0, 0xfa, - 0x05, 0x18, 0x79, 0xa2, 0xad, 0x1c, 0xa4, 0x53, 0x9b, 0x5b, 0xd2, 0xa4, - 0x67, 0xe2, 0xea, 0x8d, 0x4e, 0x2d, 0x40, 0x08, - ], - [ - 0x36, 0xc2, 0x21, 0x7a, 0xe5, 0x75, 0xaa, 0xf8, 0xf2, 0x54, 0xd6, 0xe0, - 0x60, 0x10, 0x1c, 0xdc, 0x85, 0xaa, 0x39, 0x3c, 0x09, 0x54, 0x3b, 0xf0, - 0x48, 0x99, 0x7a, 0x7c, 0x5c, 0xb9, 0x27, 0x02, - ], - [ - 0x38, 0x12, 0x7e, 0xbe, 0xaf, 0x11, 0xae, 0x56, 0x64, 0x47, 0x14, 0x05, - 0x29, 0x3b, 0x60, 0x1c, 0x43, 0xf0, 0x3e, 0x8e, 0x40, 0x78, 0x11, 0x3a, - 0x63, 0x37, 0x10, 0x11, 0x9f, 0x9a, 0x1b, 0x1f, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x49, 0x5c, 0x22, 0x2f, 0x7f, 0xba, 0x1e, 0x31, 0xde, 0xfa, 0x3d, 0x5a, - 0x57, 0xef, 0xc2, 0xe1, 0xe9, 0xb0, 0x1a, 0x03, 0x55, 0x87, 0xd5, 0xfb, - 0x1a, 0x38, 0xe0, 0x1d, 0x94, 0x90, 0x3d, 0x3c, - ], - [ - 0x3d, 0x0a, 0xd3, 0x36, 0xeb, 0x31, 0xf0, 0x83, 0xce, 0x29, 0x77, 0x0e, - 0x42, 0x98, 0x8d, 0x7d, 0x25, 0xc9, 0xa1, 0x38, 0xf4, 0x9b, 0x1a, 0x53, - 0x7e, 0xdc, 0xf0, 0x4b, 0xe3, 0x4a, 0x98, 0x11, - ], - [ - 0xa4, 0xaf, 0x9d, 0xb6, 0x36, 0x4d, 0x03, 0x99, 0x3d, 0x50, 0x35, 0x3d, - 0x88, 0x39, 0x5e, 0xd7, 0xa4, 0x1b, 0x00, 0x52, 0xad, 0x80, 0x84, 0xa8, - 0xb9, 0xda, 0x94, 0x8d, 0x32, 0x0d, 0xad, 0x16, - ], - ], - final_state: [ - [ - 0x5c, 0x76, 0x63, 0x4f, 0xc7, 0x1a, 0x43, 0x7a, 0x3c, 0xc7, 0x89, 0x9d, - 0xb3, 0xb5, 0x1c, 0xea, 0xe6, 0x9a, 0xd0, 0x0b, 0x14, 0x96, 0xa6, 0x80, - 0x32, 0xd3, 0x83, 0x17, 0x37, 0x08, 0x79, 0x18, - ], - [ - 0xd3, 0xcc, 0x4e, 0xab, 0x45, 0x0a, 0xac, 0xc4, 0x5f, 0x9b, 0x32, 0x7e, - 0xbb, 0x9a, 0x50, 0xb8, 0x59, 0xca, 0x08, 0x0e, 0x10, 0x6b, 0x54, 0xc3, - 0x1c, 0x09, 0xc2, 0x1e, 0x1d, 0x79, 0xdf, 0x2a, - ], - [ - 0x09, 0x1e, 0x8f, 0x1e, 0xe9, 0xba, 0x00, 0xa3, 0xe3, 0xcf, 0x85, 0xd5, - 0xd6, 0x95, 0x3d, 0x25, 0xe0, 0x1e, 0x8b, 0xdb, 0x43, 0xde, 0x0f, 0xb7, - 0x30, 0x82, 0x4e, 0x6a, 0x8f, 0x69, 0x7e, 0x1c, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x4d, 0x54, 0x31, 0xe6, 0xdb, 0x08, 0xd8, 0x74, 0x69, 0x5c, 0x3e, 0xaf, - 0x34, 0x5b, 0x86, 0xc4, 0x12, 0x1f, 0xc0, 0x0f, 0xe7, 0xf2, 0x35, 0x73, - 0x42, 0x76, 0xd3, 0x8d, 0x47, 0xf1, 0xe1, 0x11, - ], - [ - 0xdd, 0x0c, 0x7a, 0x1d, 0xe5, 0xed, 0x2f, 0xc3, 0x8e, 0x5e, 0x60, 0x7a, - 0x3f, 0xde, 0xab, 0x3f, 0xb6, 0x79, 0xf3, 0xdc, 0x60, 0x1d, 0x00, 0x82, - 0x85, 0xed, 0xcb, 0xda, 0xe6, 0x9c, 0xe8, 0x3c, - ], - [ - 0x19, 0xe4, 0xaa, 0xc0, 0xcd, 0x1b, 0xe4, 0x05, 0x02, 0x42, 0xf4, 0xd1, - 0x20, 0x53, 0xdb, 0x33, 0xf7, 0x34, 0x76, 0xf2, 0x1a, 0x48, 0x2e, 0xc9, - 0x37, 0x83, 0x65, 0xc8, 0xf7, 0x39, 0x3c, 0x14, - ], - ], - final_state: [ - [ - 0x00, 0xff, 0x3c, 0x20, 0xd5, 0xac, 0x28, 0x33, 0xe6, 0xd3, 0x84, 0x27, - 0xd0, 0x44, 0x06, 0x17, 0x9e, 0x31, 0xf3, 0xde, 0xd0, 0xe0, 0x33, 0xab, - 0x4f, 0x51, 0xfc, 0xb4, 0x28, 0xf8, 0x39, 0x1b, - ], - [ - 0x2a, 0x63, 0x7a, 0xa0, 0x4f, 0xb8, 0x0d, 0x9c, 0x50, 0xf3, 0x16, 0xb6, - 0x36, 0x7f, 0xa4, 0xf6, 0xed, 0x52, 0xd0, 0x7c, 0x99, 0xa1, 0x30, 0x29, - 0xd9, 0x3f, 0xae, 0xd3, 0xdd, 0x1e, 0xbc, 0x2f, - ], - [ - 0x12, 0x31, 0x54, 0xbb, 0x87, 0x60, 0x13, 0x94, 0x5f, 0x54, 0x69, 0x34, - 0x9d, 0x5f, 0xc3, 0xfc, 0xfc, 0xc9, 0xd2, 0xda, 0xb8, 0x06, 0x43, 0x0d, - 0x49, 0x69, 0x46, 0xf3, 0xbf, 0x2b, 0x61, 0x11, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0xe2, 0x88, 0x53, 0x15, 0xeb, 0x46, 0x71, 0x09, 0x8b, 0x79, 0x53, 0x5e, - 0x79, 0x0f, 0xe5, 0x3e, 0x29, 0xfe, 0xf2, 0xb3, 0x76, 0x66, 0x97, 0xac, - 0x32, 0xb4, 0xf4, 0x73, 0xf4, 0x68, 0xa0, 0x08, - ], - [ - 0xe6, 0x23, 0x89, 0xfc, 0xe2, 0x9c, 0xc6, 0xeb, 0x2e, 0x07, 0xeb, 0xc5, - 0xae, 0x25, 0xf9, 0xf7, 0x83, 0xb2, 0x7d, 0xb5, 0x9a, 0x4a, 0x15, 0x3d, - 0x88, 0x2d, 0x2b, 0x21, 0x03, 0x59, 0x65, 0x15, - ], - [ - 0xeb, 0x94, 0x94, 0xc6, 0x6a, 0xb3, 0xae, 0x30, 0xb7, 0xe6, 0x09, 0xd9, - 0x91, 0xf4, 0x33, 0xbf, 0x94, 0x86, 0xa7, 0xaf, 0xcf, 0x4a, 0x0d, 0x9c, - 0x73, 0x1e, 0x98, 0x5d, 0x99, 0x58, 0x9c, 0x0b, - ], - ], - final_state: [ - [ - 0xe7, 0x1e, 0xb4, 0x88, 0x51, 0xd7, 0x73, 0xb5, 0xa3, 0xb5, 0xd2, 0xb6, - 0xf6, 0xeb, 0x01, 0xc3, 0x79, 0x3f, 0x2f, 0xeb, 0xdf, 0xd1, 0xb9, 0x53, - 0xf0, 0x6f, 0xa9, 0x59, 0xc7, 0x26, 0xbc, 0x18, - ], - [ - 0x37, 0x71, 0xf8, 0x29, 0xfb, 0xf2, 0x74, 0x87, 0xf1, 0xdf, 0x2b, 0x5e, - 0xe9, 0x94, 0x97, 0x0b, 0x14, 0xd7, 0x13, 0xce, 0xae, 0x73, 0xa6, 0x33, - 0x95, 0x78, 0x4d, 0xcd, 0xf9, 0xaa, 0x30, 0x30, - ], - [ - 0x48, 0x06, 0xaf, 0xf7, 0x5e, 0xd3, 0xc6, 0xb9, 0x72, 0x1b, 0xc5, 0x23, - 0x0d, 0xd7, 0x76, 0xf9, 0x27, 0x44, 0x62, 0x90, 0x97, 0xcf, 0x5c, 0x2b, - 0x7f, 0x14, 0x2c, 0xf2, 0x74, 0xa5, 0x07, 0x37, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0xb7, 0x38, 0xe8, 0xaa, 0xd6, 0x5a, 0x0c, 0xb2, 0xfb, 0x3f, 0x1a, 0x31, - 0x20, 0x37, 0x2e, 0x83, 0x1a, 0x20, 0xda, 0x8a, 0xba, 0x18, 0xd1, 0xdb, - 0xeb, 0xbc, 0x86, 0x2d, 0xed, 0x42, 0x43, 0x1e, - ], - [ - 0x91, 0x47, 0x69, 0x30, 0xaf, 0x7e, 0x42, 0xe0, 0x21, 0x88, 0x56, 0x38, - 0x53, 0xd9, 0x34, 0x67, 0xe0, 0x01, 0xaf, 0xa2, 0xfb, 0x8d, 0xc3, 0x43, - 0x6d, 0x75, 0xa4, 0xa6, 0xf2, 0x65, 0x72, 0x10, - ], - [ - 0x4b, 0x19, 0x22, 0x32, 0xec, 0xb9, 0xf0, 0xc0, 0x24, 0x11, 0xe5, 0x25, - 0x96, 0xbc, 0x5e, 0x90, 0x45, 0x7e, 0x74, 0x59, 0x39, 0xff, 0xed, 0xbd, - 0x12, 0x86, 0x3c, 0xe7, 0x1a, 0x02, 0xaf, 0x11, - ], - ], - final_state: [ - [ - 0x9d, 0x58, 0x16, 0x08, 0x94, 0x8a, 0xd0, 0x15, 0xf5, 0x38, 0x82, 0xc0, - 0x2d, 0x22, 0x40, 0x2f, 0x71, 0xbd, 0x52, 0x7a, 0xb6, 0xb0, 0xbd, 0xab, - 0x5e, 0xaf, 0xef, 0x0c, 0xd9, 0x41, 0xe8, 0x33, - ], - [ - 0xf4, 0x69, 0xd9, 0x80, 0x6d, 0x0b, 0x9d, 0x92, 0x46, 0x6b, 0xbd, 0xe4, - 0x90, 0x4b, 0x88, 0x2d, 0x29, 0xcc, 0x45, 0x6d, 0xef, 0xa4, 0x77, 0x3f, - 0x5d, 0x9a, 0x92, 0x79, 0x6c, 0x60, 0xed, 0x1d, - ], - [ - 0x3c, 0xf1, 0xa7, 0x38, 0x35, 0xf9, 0x42, 0x5d, 0x46, 0x87, 0xa0, 0x9b, - 0xea, 0xcf, 0x48, 0x9a, 0xa6, 0x0e, 0xcb, 0xfc, 0xae, 0xa0, 0x61, 0xc9, - 0x7e, 0xd3, 0x72, 0x86, 0x1c, 0x08, 0x0a, 0x3d, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x7b, 0x41, 0x7a, 0xdb, 0xfb, 0x3e, 0x3e, 0x3c, 0x21, 0x60, 0xd3, 0xd1, - 0x6f, 0x1e, 0x7f, 0x26, 0x8f, 0xb8, 0x6b, 0x12, 0xb5, 0x6d, 0xa9, 0xc3, - 0x82, 0x85, 0x7d, 0xee, 0xcc, 0x40, 0xa9, 0x0d, - ], - [ - 0x5e, 0x29, 0x35, 0x39, 0x3d, 0xf9, 0x2f, 0xa1, 0xf4, 0x71, 0x68, 0xb2, - 0x61, 0xae, 0xb3, 0x78, 0x6d, 0xd9, 0x84, 0xd5, 0x67, 0xdb, 0x28, 0x57, - 0xb9, 0x27, 0xb7, 0xfa, 0xe2, 0xdb, 0x58, 0x31, - ], - [ - 0x05, 0x41, 0x5d, 0x46, 0x42, 0x78, 0x9d, 0x38, 0xf5, 0x0b, 0x8d, 0xbc, - 0xc1, 0x29, 0xca, 0xb3, 0xd1, 0x7d, 0x19, 0xf3, 0x35, 0x5b, 0xcf, 0x73, - 0xce, 0xcb, 0x8c, 0xb8, 0xa5, 0xda, 0x01, 0x30, - ], - ], - final_state: [ - [ - 0x73, 0x2c, 0x01, 0x83, 0x41, 0x7f, 0xdf, 0x33, 0x43, 0xc1, 0xef, 0x69, - 0xfd, 0xf6, 0xb3, 0xe7, 0xfd, 0x52, 0x9e, 0xe8, 0x44, 0x63, 0x48, 0xf2, - 0x78, 0x50, 0x74, 0xaf, 0xe2, 0x97, 0xe5, 0x39, - ], - [ - 0xc0, 0x33, 0xd0, 0x1c, 0xb2, 0x29, 0x7f, 0x14, 0xdc, 0xcf, 0x8a, 0x37, - 0xc8, 0x90, 0x02, 0x09, 0x46, 0x5c, 0xc7, 0x41, 0x24, 0x50, 0xe0, 0xb0, - 0x82, 0x84, 0xf9, 0xaa, 0xa1, 0x18, 0xde, 0x34, - ], - [ - 0x17, 0xf9, 0xa6, 0x65, 0x38, 0x93, 0xea, 0x76, 0xbe, 0x60, 0x00, 0x20, - 0xb8, 0xff, 0xbf, 0xd9, 0x53, 0xae, 0x4a, 0x94, 0xad, 0x00, 0x10, 0x43, - 0x37, 0xb9, 0xf7, 0xde, 0x69, 0x88, 0x60, 0x31, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x71, 0x52, 0xf1, 0x39, 0x36, 0xa2, 0x70, 0x57, 0x26, 0x70, 0xdc, 0x82, - 0xd3, 0x90, 0x26, 0xc6, 0xcb, 0x4c, 0xd4, 0xb0, 0xf7, 0xf5, 0xaa, 0x2a, - 0x4f, 0x5a, 0x53, 0x41, 0xec, 0x5d, 0xd7, 0x15, - ], - [ - 0x40, 0x6f, 0x2f, 0xdd, 0x2a, 0xfa, 0x73, 0x3f, 0x5f, 0x64, 0x1c, 0x8c, - 0x21, 0x86, 0x2a, 0x1b, 0xaf, 0xce, 0x26, 0x09, 0xd9, 0xee, 0xcf, 0xa1, - 0x58, 0xcf, 0xb5, 0xcd, 0x79, 0xf8, 0x80, 0x08, - ], - [ - 0xe2, 0x15, 0xdc, 0x7d, 0x62, 0x9d, 0xa0, 0xe0, 0x39, 0xd9, 0x68, 0x1e, - 0x99, 0x38, 0x44, 0x54, 0x36, 0x24, 0xc2, 0x5f, 0xa9, 0x59, 0xcc, 0x97, - 0x48, 0x9c, 0xe7, 0x57, 0x45, 0x82, 0x4b, 0x37, - ], - ], - final_state: [ - [ - 0x16, 0x0a, 0x24, 0x98, 0x48, 0x62, 0xea, 0xe0, 0xa3, 0x33, 0x50, 0x7b, - 0x36, 0x11, 0x93, 0x13, 0x71, 0xc6, 0x1d, 0x8e, 0x65, 0x71, 0x38, 0xcf, - 0xb2, 0xfa, 0x3b, 0x0f, 0x4d, 0xe5, 0xed, 0x3b, - ], - [ - 0xc5, 0xbd, 0x5a, 0x00, 0x44, 0xb6, 0xdb, 0xfe, 0x88, 0xb6, 0x97, 0xf7, - 0x1e, 0xa0, 0x55, 0xb4, 0xe2, 0x32, 0x42, 0x66, 0x6b, 0xf4, 0xe1, 0xb0, - 0x27, 0x52, 0xee, 0xce, 0x08, 0xfb, 0xe8, 0x05, - ], - [ - 0x30, 0x34, 0xdc, 0x8e, 0x8d, 0x4f, 0x6e, 0x33, 0x53, 0x83, 0xb9, 0x01, - 0x35, 0x8a, 0xe4, 0xb7, 0x5f, 0xcc, 0xc7, 0x22, 0x69, 0xdb, 0x83, 0x37, - 0x89, 0xce, 0xd4, 0xc0, 0xad, 0x83, 0x25, 0x1e, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x86, 0x8c, 0x53, 0x23, 0x9c, 0xfb, 0xdf, 0x73, 0xca, 0xec, 0x65, 0x60, - 0x40, 0x37, 0x31, 0x4f, 0xaa, 0xce, 0xb5, 0x62, 0x18, 0xc6, 0xbd, 0x30, - 0xf8, 0x37, 0x4a, 0xc1, 0x33, 0x86, 0x79, 0x3f, - ], - [ - 0x21, 0xa9, 0xfb, 0x80, 0xad, 0x03, 0xbc, 0x0c, 0xda, 0x4a, 0x44, 0x94, - 0x6c, 0x00, 0xe1, 0xb1, 0xa1, 0xdf, 0x0e, 0x5b, 0x87, 0xb5, 0xbe, 0xce, - 0x47, 0x7a, 0x70, 0x96, 0x49, 0xe9, 0x50, 0x06, - ], - [ - 0x04, 0x91, 0x39, 0x48, 0xf1, 0xa9, 0xd7, 0x92, 0x05, 0xe1, 0xc6, 0x82, - 0xc7, 0x38, 0x07, 0x0a, 0xf6, 0x55, 0x6d, 0xf6, 0xed, 0x4b, 0x4d, 0xdd, - 0x3d, 0x9a, 0x69, 0xf5, 0x33, 0x57, 0xd7, 0x36, - ], - ], - final_state: [ - [ - 0x63, 0xe6, 0x3f, 0x14, 0xcc, 0x49, 0xec, 0x8f, 0x59, 0x93, 0x33, 0xae, - 0x04, 0x2c, 0xb4, 0x0c, 0x6f, 0xa8, 0x5f, 0x2d, 0x67, 0x64, 0xde, 0xad, - 0x13, 0x16, 0x44, 0x04, 0x97, 0x8b, 0x12, 0x03, - ], - [ - 0xc5, 0x61, 0xf3, 0x87, 0xb4, 0xaa, 0x32, 0x60, 0x09, 0x0f, 0x01, 0x73, - 0x88, 0x01, 0xb5, 0x34, 0xbe, 0x39, 0x6a, 0x13, 0xee, 0x11, 0x6b, 0x21, - 0xdb, 0x76, 0x10, 0x69, 0x59, 0x3d, 0xb6, 0x2f, - ], - [ - 0x10, 0x1a, 0x4b, 0xfd, 0x56, 0x89, 0xd5, 0x5a, 0xa7, 0x0e, 0xcf, 0x44, - 0x6d, 0xc3, 0x1a, 0x89, 0xbc, 0x62, 0xde, 0xb7, 0xed, 0x36, 0xf5, 0x49, - 0x19, 0x9c, 0xe1, 0x7b, 0xac, 0xe7, 0x32, 0x1b, - ], - ], - }, - TestVector { - initial_state: [ - [ - 0x7d, 0x4f, 0x5c, 0xcb, 0x99, 0xef, 0x08, 0x4b, 0x57, 0x25, 0xcf, 0xeb, - 0xd5, 0xd6, 0x3d, 0xc1, 0x6a, 0x95, 0xe3, 0x02, 0x5b, 0x97, 0x92, 0xff, - 0xf7, 0xf2, 0x44, 0xfc, 0x71, 0x62, 0x69, 0x39, - ], - [ - 0x26, 0xd6, 0x2e, 0x95, 0x96, 0xfa, 0x82, 0x5c, 0x6b, 0xf2, 0x1a, 0xff, - 0x9e, 0x68, 0x62, 0x5a, 0x19, 0x24, 0x40, 0xea, 0x06, 0x82, 0x81, 0x23, - 0xd9, 0x78, 0x84, 0x80, 0x6f, 0x15, 0xfa, 0x08, - ], - [ - 0xd9, 0x52, 0x75, 0x4a, 0xef, 0xa9, 0x9c, 0x73, 0x3d, 0x14, 0xc8, 0xda, - 0x01, 0x47, 0x86, 0xda, 0x3a, 0x61, 0x28, 0xae, 0xf7, 0x84, 0xa6, 0x46, - 0x10, 0xa8, 0x9d, 0x1a, 0x70, 0x99, 0x21, 0x2d, - ], - ], - final_state: [ - [ - 0x45, 0xed, 0x54, 0x17, 0x40, 0x7b, 0xfd, 0xb7, 0x97, 0xbc, 0xfe, 0x70, - 0x74, 0xdf, 0xf8, 0x0e, 0x32, 0xa5, 0x62, 0xed, 0x88, 0x73, 0x78, 0x1d, - 0xbc, 0xf4, 0xf6, 0x7e, 0x06, 0xbe, 0x0c, 0x23, - ], - [ - 0x13, 0x2f, 0x3f, 0x55, 0xd8, 0xfb, 0xfd, 0x46, 0x7b, 0x2a, 0xe2, 0x2b, - 0x8c, 0x64, 0x93, 0x43, 0x64, 0xcf, 0x9c, 0x4a, 0x0b, 0x07, 0xed, 0xb4, - 0x02, 0x87, 0xc3, 0x92, 0xc9, 0xc1, 0x45, 0x12, - ], - [ - 0xd0, 0x51, 0xc3, 0x7f, 0xf6, 0x4c, 0xad, 0xa2, 0xb4, 0x82, 0xf1, 0x1f, - 0x85, 0x64, 0x39, 0x6b, 0x75, 0xe3, 0xf8, 0x1b, 0x35, 0x52, 0xd8, 0x9a, - 0xf4, 0x92, 0xcf, 0x00, 0x52, 0x3c, 0x04, 0x15, - ], - ], - }, - ] - } - - pub(crate) fn hash() -> Vec { - use HashTestVector as TestVector; - - // From https://github.com/zcash-hackworks/zcash-test-vectors/blob/master/orchard_poseidon/hash/fq.py - vec![ - TestVector { - input: [ - [ - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - [ - 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, - ], - ], - output: [ - 0x4e, 0x68, 0xf6, 0x85, 0x70, 0x29, 0x57, 0xf3, 0xbf, 0x54, 0x6b, 0x7a, 0x09, - 0x01, 0x31, 0x4e, 0x51, 0x4f, 0x19, 0x5e, 0xe3, 0xb1, 0x64, 0x46, 0x22, 0x77, - 0x9d, 0x93, 0xdf, 0x96, 0xba, 0x15, - ], - }, - TestVector { - input: [ - [ - 0x5c, 0x7a, 0x8f, 0x73, 0x79, 0x42, 0x57, 0x08, 0x7e, 0x63, 0x4c, 0x49, - 0xac, 0x6b, 0x57, 0x07, 0x4c, 0x4d, 0x6e, 0x66, 0xb1, 0x64, 0x93, 0x9d, - 0xaf, 0xfa, 0x2e, 0xf6, 0xee, 0x69, 0x21, 0x08, - ], - [ - 0x1a, 0xdd, 0x86, 0xb3, 0x8a, 0x6d, 0x8a, 0xc0, 0xa6, 0xfd, 0x9e, 0x0d, - 0x98, 0x2b, 0x77, 0xe6, 0xb0, 0xef, 0x9c, 0xa3, 0xf2, 0x49, 0x88, 0xc7, - 0xb3, 0x53, 0x42, 0x01, 0xcf, 0xb1, 0xcd, 0x0d, - ], - ], - output: [ - 0x0c, 0x0a, 0xd9, 0x0a, 0x2e, 0x0c, 0xba, 0x0e, 0xe6, 0xa5, 0x5a, 0xc5, 0x38, - 0xa4, 0x35, 0xc9, 0x39, 0x04, 0x98, 0xae, 0xb5, 0x30, 0x3e, 0x3d, 0xad, 0x70, - 0x3a, 0xd1, 0xdc, 0xdb, 0x43, 0x2b, - ], - }, - TestVector { - input: [ - [ - 0xbd, 0x69, 0xb8, 0x25, 0xca, 0x41, 0x61, 0x29, 0x6e, 0xfa, 0x7f, 0x66, - 0x9b, 0xa9, 0xc7, 0x27, 0x1f, 0xe0, 0x1f, 0x7e, 0x9c, 0x8e, 0x36, 0xd6, - 0xa5, 0xe2, 0x9d, 0x4e, 0x30, 0xa7, 0x35, 0x14, - ], - [ - 0xbc, 0x50, 0x98, 0x42, 0xb9, 0xa7, 0x62, 0xe5, 0x58, 0xea, 0x51, 0x47, - 0xed, 0x5a, 0xc0, 0x08, 0x62, 0xc2, 0xfa, 0x7b, 0x2f, 0xec, 0xbc, 0xb6, - 0x4b, 0x69, 0x68, 0x91, 0x2a, 0x63, 0x81, 0x0e, - ], - ], - output: [ - 0xa6, 0x0c, 0xc8, 0xb8, 0x53, 0xaf, 0xce, 0xdb, 0xa1, 0x44, 0x65, 0xd5, 0x31, - 0xc7, 0x3c, 0xbc, 0xe1, 0x9e, 0x46, 0x0b, 0xa8, 0x04, 0x62, 0x2d, 0xf5, 0x21, - 0x23, 0x1d, 0xa1, 0x21, 0xc6, 0x08, - ], - }, - TestVector { - input: [ - [ - 0x3d, 0xc1, 0x66, 0xd5, 0x6a, 0x1d, 0x62, 0xf5, 0xa8, 0xd7, 0x55, 0x1d, - 0xb5, 0xfd, 0x93, 0x13, 0xe8, 0xc7, 0x20, 0x3d, 0x99, 0x6a, 0xf7, 0xd4, - 0x77, 0x08, 0x37, 0x56, 0xd5, 0x9a, 0xf8, 0x0d, - ], - [ - 0x05, 0xa7, 0x45, 0xf4, 0x29, 0xc5, 0xdc, 0xe8, 0x4e, 0x0c, 0x20, 0xfd, - 0xf0, 0xf0, 0x3e, 0xbf, 0x81, 0x30, 0xab, 0x33, 0x36, 0x26, 0x97, 0xb0, - 0xe4, 0xe4, 0xc7, 0x63, 0xcc, 0xb8, 0xf6, 0x36, - ], - ], - output: [ - 0xad, 0xa8, 0xca, 0xe4, 0x6a, 0x04, 0x2d, 0x00, 0xb0, 0x2e, 0x33, 0xc3, 0x6e, - 0x65, 0x8c, 0x22, 0x13, 0xfe, 0x81, 0x34, 0x53, 0x8b, 0x56, 0x03, 0x19, 0xe9, - 0x99, 0xf3, 0xf5, 0x82, 0x90, 0x00, - ], - }, - TestVector { - input: [ - [ - 0x49, 0x5c, 0x22, 0x2f, 0x7f, 0xba, 0x1e, 0x31, 0xde, 0xfa, 0x3d, 0x5a, - 0x57, 0xef, 0xc2, 0xe1, 0xe9, 0xb0, 0x1a, 0x03, 0x55, 0x87, 0xd5, 0xfb, - 0x1a, 0x38, 0xe0, 0x1d, 0x94, 0x90, 0x3d, 0x3c, - ], - [ - 0x3d, 0x0a, 0xd3, 0x36, 0xeb, 0x31, 0xf0, 0x83, 0xce, 0x29, 0x77, 0x0e, - 0x42, 0x98, 0x8d, 0x7d, 0x25, 0xc9, 0xa1, 0x38, 0xf4, 0x9b, 0x1a, 0x53, - 0x7e, 0xdc, 0xf0, 0x4b, 0xe3, 0x4a, 0x98, 0x11, - ], - ], - output: [ - 0x19, 0x94, 0x9f, 0xc7, 0x74, 0x04, 0x99, 0x37, 0x00, 0x58, 0x12, 0x7d, 0x04, - 0x0f, 0x11, 0x24, 0x5e, 0xba, 0x6c, 0x37, 0x80, 0xe9, 0x3e, 0x26, 0x16, 0xf4, - 0xc1, 0x77, 0x56, 0x30, 0x78, 0x2d, - ], - }, - TestVector { - input: [ - [ - 0xa4, 0xaf, 0x9d, 0xb6, 0x36, 0x4d, 0x03, 0x99, 0x3d, 0x50, 0x35, 0x3d, - 0x88, 0x39, 0x5e, 0xd7, 0xa4, 0x1b, 0x00, 0x52, 0xad, 0x80, 0x84, 0xa8, - 0xb9, 0xda, 0x94, 0x8d, 0x32, 0x0d, 0xad, 0x16, - ], - [ - 0x4d, 0x54, 0x31, 0xe6, 0xdb, 0x08, 0xd8, 0x74, 0x69, 0x5c, 0x3e, 0xaf, - 0x34, 0x5b, 0x86, 0xc4, 0x12, 0x1f, 0xc0, 0x0f, 0xe7, 0xf2, 0x35, 0x73, - 0x42, 0x76, 0xd3, 0x8d, 0x47, 0xf1, 0xe1, 0x11, - ], - ], - output: [ - 0x29, 0x6e, 0xba, 0xb4, 0xb4, 0x5a, 0xb9, 0x20, 0x97, 0xa7, 0xe6, 0xe7, 0xcc, - 0x6d, 0xd7, 0xd4, 0x7a, 0x12, 0x3e, 0x85, 0x50, 0xa3, 0x3d, 0xf1, 0x20, 0xcc, - 0xa5, 0x38, 0x90, 0x67, 0x1b, 0x21, - ], - }, - TestVector { - input: [ - [ - 0xdd, 0x0c, 0x7a, 0x1d, 0xe5, 0xed, 0x2f, 0xc3, 0x8e, 0x5e, 0x60, 0x7a, - 0x3f, 0xde, 0xab, 0x3f, 0xb6, 0x79, 0xf3, 0xdc, 0x60, 0x1d, 0x00, 0x82, - 0x85, 0xed, 0xcb, 0xda, 0xe6, 0x9c, 0xe8, 0x3c, - ], - [ - 0x19, 0xe4, 0xaa, 0xc0, 0xcd, 0x1b, 0xe4, 0x05, 0x02, 0x42, 0xf4, 0xd1, - 0x20, 0x53, 0xdb, 0x33, 0xf7, 0x34, 0x76, 0xf2, 0x1a, 0x48, 0x2e, 0xc9, - 0x37, 0x83, 0x65, 0xc8, 0xf7, 0x39, 0x3c, 0x14, - ], - ], - output: [ - 0xa8, 0x87, 0x6e, 0x8d, 0x2f, 0x30, 0x0a, 0x62, 0x05, 0x4b, 0x49, 0x4c, 0x8f, - 0x21, 0xc1, 0xd0, 0xad, 0xbd, 0xac, 0x89, 0xbf, 0x2a, 0xad, 0x9f, 0x3c, 0x1b, - 0x10, 0xc4, 0x78, 0x8c, 0x2d, 0x3d, - ], - }, - TestVector { - input: [ - [ - 0xe2, 0x88, 0x53, 0x15, 0xeb, 0x46, 0x71, 0x09, 0x8b, 0x79, 0x53, 0x5e, - 0x79, 0x0f, 0xe5, 0x3e, 0x29, 0xfe, 0xf2, 0xb3, 0x76, 0x66, 0x97, 0xac, - 0x32, 0xb4, 0xf4, 0x73, 0xf4, 0x68, 0xa0, 0x08, - ], - [ - 0xe6, 0x23, 0x89, 0xfc, 0xe2, 0x9c, 0xc6, 0xeb, 0x2e, 0x07, 0xeb, 0xc5, - 0xae, 0x25, 0xf9, 0xf7, 0x83, 0xb2, 0x7d, 0xb5, 0x9a, 0x4a, 0x15, 0x3d, - 0x88, 0x2d, 0x2b, 0x21, 0x03, 0x59, 0x65, 0x15, - ], - ], - output: [ - 0xc2, 0xda, 0xcb, 0x1e, 0xea, 0xed, 0x88, 0x0b, 0x87, 0xd0, 0x4d, 0xd9, 0x61, - 0x95, 0x73, 0x0e, 0x98, 0xbd, 0x0f, 0x14, 0x77, 0x7b, 0x3e, 0xf0, 0xda, 0x40, - 0xe4, 0xc0, 0x87, 0xb1, 0x9d, 0x28, - ], - }, - TestVector { - input: [ - [ - 0xeb, 0x94, 0x94, 0xc6, 0x6a, 0xb3, 0xae, 0x30, 0xb7, 0xe6, 0x09, 0xd9, - 0x91, 0xf4, 0x33, 0xbf, 0x94, 0x86, 0xa7, 0xaf, 0xcf, 0x4a, 0x0d, 0x9c, - 0x73, 0x1e, 0x98, 0x5d, 0x99, 0x58, 0x9c, 0x0b, - ], - [ - 0xb7, 0x38, 0xe8, 0xaa, 0xd6, 0x5a, 0x0c, 0xb2, 0xfb, 0x3f, 0x1a, 0x31, - 0x20, 0x37, 0x2e, 0x83, 0x1a, 0x20, 0xda, 0x8a, 0xba, 0x18, 0xd1, 0xdb, - 0xeb, 0xbc, 0x86, 0x2d, 0xed, 0x42, 0x43, 0x1e, - ], - ], - output: [ - 0x5a, 0x55, 0xe3, 0x08, 0x2e, 0x55, 0xa5, 0x66, 0xb9, 0xca, 0xb1, 0xca, 0xf4, - 0x48, 0xf7, 0x0f, 0x8c, 0x9a, 0x53, 0xa1, 0xc9, 0xf6, 0x9e, 0x2a, 0x80, 0xdd, - 0xb8, 0x58, 0x3f, 0x99, 0x01, 0x26, - ], - }, - TestVector { - input: [ - [ - 0x91, 0x47, 0x69, 0x30, 0xaf, 0x7e, 0x42, 0xe0, 0x21, 0x88, 0x56, 0x38, - 0x53, 0xd9, 0x34, 0x67, 0xe0, 0x01, 0xaf, 0xa2, 0xfb, 0x8d, 0xc3, 0x43, - 0x6d, 0x75, 0xa4, 0xa6, 0xf2, 0x65, 0x72, 0x10, - ], - [ - 0x4b, 0x19, 0x22, 0x32, 0xec, 0xb9, 0xf0, 0xc0, 0x24, 0x11, 0xe5, 0x25, - 0x96, 0xbc, 0x5e, 0x90, 0x45, 0x7e, 0x74, 0x59, 0x39, 0xff, 0xed, 0xbd, - 0x12, 0x86, 0x3c, 0xe7, 0x1a, 0x02, 0xaf, 0x11, - ], - ], - output: [ - 0xca, 0xc6, 0x68, 0x8a, 0x3d, 0x2a, 0x7d, 0xca, 0xe1, 0xd4, 0x60, 0x1f, 0x9b, - 0xf0, 0x6d, 0x58, 0x00, 0x8f, 0x24, 0x85, 0x6a, 0xe6, 0x00, 0xf0, 0xe0, 0x90, - 0x07, 0x23, 0xaf, 0xa1, 0x20, 0x03, - ], - }, - TestVector { - input: [ - [ - 0x7b, 0x41, 0x7a, 0xdb, 0xfb, 0x3e, 0x3e, 0x3c, 0x21, 0x60, 0xd3, 0xd1, - 0x6f, 0x1e, 0x7f, 0x26, 0x8f, 0xb8, 0x6b, 0x12, 0xb5, 0x6d, 0xa9, 0xc3, - 0x82, 0x85, 0x7d, 0xee, 0xcc, 0x40, 0xa9, 0x0d, - ], - [ - 0x5e, 0x29, 0x35, 0x39, 0x3d, 0xf9, 0x2f, 0xa1, 0xf4, 0x71, 0x68, 0xb2, - 0x61, 0xae, 0xb3, 0x78, 0x6d, 0xd9, 0x84, 0xd5, 0x67, 0xdb, 0x28, 0x57, - 0xb9, 0x27, 0xb7, 0xfa, 0xe2, 0xdb, 0x58, 0x31, - ], - ], - output: [ - 0xd7, 0xe7, 0x83, 0x91, 0x97, 0x83, 0xb0, 0x8b, 0x5f, 0xad, 0x08, 0x9d, 0x57, - 0x1e, 0xc1, 0x8f, 0xb4, 0x63, 0x28, 0x53, 0x99, 0x3f, 0x35, 0xe3, 0xee, 0x54, - 0x3d, 0x4e, 0xed, 0xf6, 0x5f, 0x38, - ], - }, - ] - } -} diff --git a/src/primitives/sinsemilla.rs b/src/primitives/sinsemilla.rs deleted file mode 100644 index f6776b92..00000000 --- a/src/primitives/sinsemilla.rs +++ /dev/null @@ -1,293 +0,0 @@ -//! The Sinsemilla hash function and commitment scheme. - -use group::{Curve, Wnaf}; -use halo2::arithmetic::{CurveAffine, CurveExt}; -use pasta_curves::pallas; -use subtle::CtOption; - -mod addition; -use self::addition::IncompletePoint; -mod sinsemilla_s; -pub use sinsemilla_s::SINSEMILLA_S; - -/// Number of bits of each message piece in $\mathsf{SinsemillaHashToPoint}$ -pub const K: usize = 10; - -/// $\frac{1}{2^K}$ -pub const INV_TWO_POW_K: [u8; 32] = [ - 1, 0, 192, 196, 160, 229, 70, 82, 221, 165, 74, 202, 85, 7, 62, 34, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 240, 63, -]; - -/// The largest integer such that $2^c \leq (r_P - 1) / 2$, where $r_P$ is the order -/// of Pallas. -pub const C: usize = 253; - -// Sinsemilla Q generators - -/// SWU hash-to-curve personalization for Sinsemilla $Q$ generators. -pub const Q_PERSONALIZATION: &str = "z.cash:SinsemillaQ"; - -// Sinsemilla S generators - -/// SWU hash-to-curve personalization for Sinsemilla $S$ generators. -pub const S_PERSONALIZATION: &str = "z.cash:SinsemillaS"; - -pub(crate) fn lebs2ip_k(bits: &[bool]) -> u32 { - assert!(bits.len() == K); - bits.iter() - .enumerate() - .fold(0u32, |acc, (i, b)| acc + if *b { 1 << i } else { 0 }) -} - -/// Coordinate extractor for Pallas. -/// -/// Defined in [Zcash Protocol Spec § 5.4.9.7: Coordinate Extractor for Pallas][concreteextractorpallas]. -/// -/// [concreteextractorpallas]: https://zips.z.cash/protocol/nu5.pdf#concreteextractorpallas -fn extract_p_bottom(point: CtOption) -> CtOption { - point.map(|p| { - p.to_affine() - .coordinates() - .map(|c| *c.x()) - .unwrap_or_else(pallas::Base::zero) - }) -} - -/// Pads the given iterator (which MUST have length $\leq K * C$) with zero-bits to a -/// multiple of $K$ bits. -struct Pad> { - /// The iterator we are padding. - inner: I, - /// The measured length of the inner iterator. - /// - /// This starts as a lower bound, and will be accurate once `padding_left.is_some()`. - len: usize, - /// The amount of padding that remains to be emitted. - padding_left: Option, -} - -impl> Pad { - fn new(inner: I) -> Self { - Pad { - inner, - len: 0, - padding_left: None, - } - } -} - -impl> Iterator for Pad { - type Item = bool; - - fn next(&mut self) -> Option { - loop { - // If we have identified the required padding, the inner iterator has ended, - // and we will never poll it again. - if let Some(n) = self.padding_left.as_mut() { - if *n == 0 { - // Either we already emitted all necessary padding, or there was no - // padding required. - break None; - } else { - // Emit the next padding bit. - *n -= 1; - break Some(false); - } - } else if let Some(ret) = self.inner.next() { - // We haven't reached the end of the inner iterator yet. - self.len += 1; - assert!(self.len <= K * C); - break Some(ret); - } else { - // Inner iterator just ended, so we now know its length. - let rem = self.len % K; - if rem > 0 { - // The inner iterator requires padding in the range [1,K). - self.padding_left = Some(K - rem); - } else { - // No padding required. - self.padding_left = Some(0); - } - } - } - } -} - -/// A domain in which $\mathsf{SinsemillaHashToPoint}$ and $\mathsf{SinsemillaHash}$ can -/// be used. -#[derive(Debug, Clone)] -#[allow(non_snake_case)] -pub struct HashDomain { - Q: pallas::Point, -} - -impl HashDomain { - /// Constructs a new `HashDomain` with a specific prefix string. - pub fn new(domain: &str) -> Self { - HashDomain { - Q: pallas::Point::hash_to_curve(Q_PERSONALIZATION)(domain.as_bytes()), - } - } - - /// $\mathsf{SinsemillaHashToPoint}$ from [§ 5.4.1.9][concretesinsemillahash]. - /// - /// [concretesinsemillahash]: https://zips.z.cash/protocol/nu5.pdf#concretesinsemillahash - pub fn hash_to_point(&self, msg: impl Iterator) -> CtOption { - self.hash_to_point_inner(msg).into() - } - - #[allow(non_snake_case)] - fn hash_to_point_inner(&self, msg: impl Iterator) -> IncompletePoint { - let padded: Vec<_> = Pad::new(msg).collect(); - - padded - .chunks(K) - .fold(IncompletePoint::from(self.Q), |acc, chunk| { - let (S_x, S_y) = SINSEMILLA_S[lebs2ip_k(chunk) as usize]; - let S_chunk = pallas::Affine::from_xy(S_x, S_y).unwrap(); - (acc + S_chunk) + acc - }) - } - - /// $\mathsf{SinsemillaHash}$ from [§ 5.4.1.9][concretesinsemillahash]. - /// - /// [concretesinsemillahash]: https://zips.z.cash/protocol/nu5.pdf#concretesinsemillahash - /// - /// # Panics - /// - /// This panics if the message length is greater than [`K`] * [`C`] - pub fn hash(&self, msg: impl Iterator) -> CtOption { - extract_p_bottom(self.hash_to_point(msg)) - } - - /// Returns the Sinsemilla $Q$ constant for this domain. - #[cfg(test)] - #[allow(non_snake_case)] - pub(crate) fn Q(&self) -> pallas::Point { - self.Q - } -} - -/// A domain in which $\mathsf{SinsemillaCommit}$ and $\mathsf{SinsemillaShortCommit}$ can -/// be used. -#[derive(Debug)] -#[allow(non_snake_case)] -pub struct CommitDomain { - M: HashDomain, - R: pallas::Point, -} - -impl CommitDomain { - /// Constructs a new `CommitDomain` with a specific prefix string. - pub fn new(domain: &str) -> Self { - let m_prefix = format!("{}-M", domain); - let r_prefix = format!("{}-r", domain); - let hasher_r = pallas::Point::hash_to_curve(&r_prefix); - CommitDomain { - M: HashDomain::new(&m_prefix), - R: hasher_r(&[]), - } - } - - /// $\mathsf{SinsemillaCommit}$ from [§ 5.4.8.4][concretesinsemillacommit]. - /// - /// [concretesinsemillacommit]: https://zips.z.cash/protocol/nu5.pdf#concretesinsemillacommit - #[allow(non_snake_case)] - pub fn commit( - &self, - msg: impl Iterator, - r: &pallas::Scalar, - ) -> CtOption { - // We use complete addition for the blinding factor. - CtOption::::from(self.M.hash_to_point_inner(msg)) - .map(|p| p + Wnaf::new().scalar(r).base(self.R)) - } - - /// $\mathsf{SinsemillaShortCommit}$ from [§ 5.4.8.4][concretesinsemillacommit]. - /// - /// [concretesinsemillacommit]: https://zips.z.cash/protocol/nu5.pdf#concretesinsemillacommit - pub fn short_commit( - &self, - msg: impl Iterator, - r: &pallas::Scalar, - ) -> CtOption { - extract_p_bottom(self.commit(msg, r)) - } - - /// Returns the Sinsemilla $R$ constant for this domain. - #[cfg(test)] - #[allow(non_snake_case)] - pub(crate) fn R(&self) -> pallas::Point { - self.R - } - - /// Returns the Sinsemilla $Q$ constant for this domain. - #[cfg(test)] - #[allow(non_snake_case)] - pub(crate) fn Q(&self) -> pallas::Point { - self.M.Q - } -} - -#[cfg(test)] -mod tests { - use super::{Pad, K}; - use pasta_curves::{arithmetic::CurveExt, pallas}; - - #[test] - fn pad() { - assert_eq!(Pad::new([].iter().cloned()).collect::>(), vec![]); - assert_eq!( - Pad::new([true].iter().cloned()).collect::>(), - vec![true, false, false, false, false, false, false, false, false, false] - ); - assert_eq!( - Pad::new([true, true].iter().cloned()).collect::>(), - vec![true, true, false, false, false, false, false, false, false, false] - ); - assert_eq!( - Pad::new([true, true, true].iter().cloned()).collect::>(), - vec![true, true, true, false, false, false, false, false, false, false] - ); - assert_eq!( - Pad::new( - [true, true, false, true, false, true, false, true, false, true] - .iter() - .cloned() - ) - .collect::>(), - vec![true, true, false, true, false, true, false, true, false, true] - ); - assert_eq!( - Pad::new( - [true, true, false, true, false, true, false, true, false, true, true] - .iter() - .cloned() - ) - .collect::>(), - vec![ - true, true, false, true, false, true, false, true, false, true, true, false, false, - false, false, false, false, false, false, false - ] - ); - } - - #[test] - fn sinsemilla_s() { - use super::sinsemilla_s::SINSEMILLA_S; - use group::Curve; - use pasta_curves::arithmetic::CurveAffine; - - let hasher = pallas::Point::hash_to_curve(super::S_PERSONALIZATION); - - for j in 0..(1u32 << K) { - let computed = { - let point = hasher(&j.to_le_bytes()).to_affine().coordinates().unwrap(); - (*point.x(), *point.y()) - }; - let actual = SINSEMILLA_S[j as usize]; - assert_eq!(computed, actual); - } - } -} diff --git a/src/primitives/sinsemilla/addition.rs b/src/primitives/sinsemilla/addition.rs deleted file mode 100644 index 3949adda..00000000 --- a/src/primitives/sinsemilla/addition.rs +++ /dev/null @@ -1,73 +0,0 @@ -use std::ops::Add; - -use group::{cofactor::CofactorCurveAffine, Group}; -use pasta_curves::pallas; -use subtle::{ConstantTimeEq, CtOption}; - -/// P ∪ {⊥} -/// -/// Simulated incomplete addition built over complete addition. -#[derive(Clone, Copy, Debug)] -pub(super) struct IncompletePoint(CtOption); - -impl From for IncompletePoint { - fn from(p: pallas::Point) -> Self { - IncompletePoint(CtOption::new(p, 1.into())) - } -} - -impl From for CtOption { - fn from(p: IncompletePoint) -> Self { - p.0 - } -} - -impl Add for IncompletePoint { - type Output = IncompletePoint; - - #[allow(clippy::suspicious_arithmetic_impl)] - fn add(self, rhs: Self) -> Self::Output { - // ⊥ ⸭ ⊥ = ⊥ - // ⊥ ⸭ P = ⊥ - IncompletePoint(self.0.and_then(|p| { - // P ⸭ ⊥ = ⊥ - rhs.0.and_then(|q| { - // 0 ⸭ 0 = ⊥ - // 0 ⸭ P = ⊥ - // P ⸭ 0 = ⊥ - // (x, y) ⸭ (x', y') = ⊥ if x == x' - // (x, y) ⸭ (x', y') = (x, y) + (x', y') if x != x' - CtOption::new( - p + q, - !(p.is_identity() | q.is_identity() | p.ct_eq(&q) | p.ct_eq(&-q)), - ) - }) - })) - } -} - -impl Add for IncompletePoint { - type Output = IncompletePoint; - - /// Specialisation of incomplete addition for mixed addition. - #[allow(clippy::suspicious_arithmetic_impl)] - fn add(self, rhs: pallas::Affine) -> Self::Output { - // ⊥ ⸭ ⊥ = ⊥ - // ⊥ ⸭ P = ⊥ - IncompletePoint(self.0.and_then(|p| { - // P ⸭ ⊥ = ⊥ is satisfied by definition. - let q = rhs.to_curve(); - - // 0 ⸭ 0 = ⊥ - // 0 ⸭ P = ⊥ - // P ⸭ 0 = ⊥ - // (x, y) ⸭ (x', y') = ⊥ if x == x' - // (x, y) ⸭ (x', y') = (x, y) + (x', y') if x != x' - CtOption::new( - // Use mixed addition for efficiency. - p + rhs, - !(p.is_identity() | q.is_identity() | p.ct_eq(&q) | p.ct_eq(&-q)), - ) - })) - } -} diff --git a/src/primitives/sinsemilla/sinsemilla_s.rs b/src/primitives/sinsemilla/sinsemilla_s.rs deleted file mode 100644 index 1ae826ca..00000000 --- a/src/primitives/sinsemilla/sinsemilla_s.rs +++ /dev/null @@ -1,14344 +0,0 @@ -use super::K; -use pasta_curves::pallas; - -/// The precomputed bases for the Sinsemilla hash function. -/// -/// https://zips.z.cash/protocol/protocol.pdf#concretesinsemillahash -pub const SINSEMILLA_S: [(pallas::Base, pallas::Base); 1 << K] = [ - ( - pallas::Base::from_raw([ - 0x5a91_eb91_2044_ea5f, - 0x29a0_5baf_bede_62b5, - 0x1431_d4ea_7d4a_fc7b, - 0x0db5_218b_e688_1f0f, - ]), - pallas::Base::from_raw([ - 0x17c2_4f76_bf8e_6483, - 0x944a_041c_2e65_ba01, - 0x9caf_6629_8493_d5d0, - 0x2f0f_40c2_f152_a01c, - ]), - ), - ( - pallas::Base::from_raw([ - 0xce4a_e33e_a108_af91, - 0xe677_00ca_2464_9b8f, - 0xc8fd_33eb_3917_5404, - 0x2111_12b4_b3e1_9518, - ]), - pallas::Base::from_raw([ - 0x1d83_c293_f810_c5ee, - 0xb43c_744a_670e_19bc, - 0xa38a_3e79_cd5a_35fe, - 0x06c5_9939_93ad_b03b, - ]), - ), - ( - pallas::Base::from_raw([ - 0x22e0_c475_a18f_6d24, - 0xf40c_b333_4b54_11c0, - 0x4661_a4e2_355b_9b33, - 0x25b3_2ccd_49f9_25a3, - ]), - pallas::Base::from_raw([ - 0xa67d_6b8d_b8fd_9757, - 0x4be1_ebb9_f945_ccd2, - 0x7d53_d0f3_23b4_4711, - 0x140f_f2ba_70d0_692c, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa5fa_ef0f_0419_dabc, - 0x6539_ca12_938b_1826, - 0x60ff_465c_d02c_701f, - 0x1421_5a48_e118_32c9, - ]), - pallas::Base::from_raw([ - 0x011d_5d36_25ca_36dc, - 0x97b6_3b4b_53e2_ad56, - 0xc711_a0b9_0b58_03bd, - 0x1066_6957_becb_884d, - ]), - ), - ( - pallas::Base::from_raw([ - 0xcd48_cef6_4bed_0936, - 0x0e94_8b52_f738_61ce, - 0x9ab9_b595_d23f_059f, - 0x315c_f93b_9e63_151c, - ]), - pallas::Base::from_raw([ - 0xe257_7684_a31c_721a, - 0x81ef_1386_c070_a51d, - 0x2afb_9a52_d043_78ca, - 0x2c54_c0b3_8dfb_ad40, - ]), - ), - ( - pallas::Base::from_raw([ - 0x1e62_9662_aa5a_3fdf, - 0x94fb_57dc_9d31_389b, - 0x63c5_542e_be6c_3ab7, - 0x1d74_51a5_7e92_5ec5, - ]), - pallas::Base::from_raw([ - 0x934c_1dc8_aaca_454b, - 0xc086_048c_4eef_c0dd, - 0xc49c_1472_164b_6fbc, - 0x0a4b_5139_9347_7ec7, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7e7c_cebd_ac44_118f, - 0xe055_272f_8429_ff1c, - 0x3c80_b5f8_24a7_5f24, - 0x0d3d_3c74_10d4_4668, - ]), - pallas::Base::from_raw([ - 0x79ea_b21b_b522_55cc, - 0x1268_61c0_de4f_0982, - 0xa02e_3186_23a5_5ae9, - 0x2b94_e712_9758_334f, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0e77_383e_d712_9d2f, - 0x6283_df71_4b0f_9b18, - 0x0864_617c_d666_062c, - 0x197e_faba_7491_0b57, - ]), - pallas::Base::from_raw([ - 0x85b8_e2cb_12fd_c127, - 0x7a88_75b5_de27_45cd, - 0x8df5_6a97_ed99_d31b, - 0x34d9_5547_d6e9_56a9, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd21c_d292_6b24_b055, - 0xa416_7a07_7246_418e, - 0x3e29_11ab_ef54_9b47, - 0x305a_d0e8_b11c_ee66, - ]), - pallas::Base::from_raw([ - 0x9b39_73cf_a5bf_b938, - 0x12a2_0ca5_d138_80d6, - 0x8207_1242_c3b7_34a4, - 0x3e25_9102_6dbb_bfd8, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf6bc_e362_6b48_56be, - 0xdf5e_e6f1_5b66_3484, - 0xbc37_bdf1_4766_3e61, - 0x2a80_ed20_aecc_771f, - ]), - pallas::Base::from_raw([ - 0xaeaf_58cd_40d9_d753, - 0x6776_81a1_39a9_44eb, - 0xdb78_4220_d080_d1ae, - 0x3bed_9f53_2f89_c873, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa96d_351c_69e7_3b34, - 0xe5df_e62c_bb74_b432, - 0x3e0b_f886_c563_3909, - 0x1169_679d_516b_0f52, - ]), - pallas::Base::from_raw([ - 0x447f_2648_3a56_52ee, - 0x77d8_03b3_afe8_3912, - 0xbe1e_a779_988f_4fd3, - 0x24dc_58d8_46ef_f85d, - ]), - ), - ( - pallas::Base::from_raw([ - 0x851d_c62e_bc87_5030, - 0x1957_510c_703c_5765, - 0xd439_8de8_3aae_c992, - 0x0a64_5164_e0e0_d1cb, - ]), - pallas::Base::from_raw([ - 0xd768_494c_1aa6_936d, - 0x0c89_d7ee_a548_c2a4, - 0x7e1f_87b7_9978_76b1, - 0x153f_b63d_3879_f182, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc565_0619_42a8_3439, - 0x7716_f57c_193a_3df2, - 0x1325_b0e1_8d7a_ea0a, - 0x05a9_1753_a68b_7601, - ]), - pallas::Base::from_raw([ - 0x2443_2316_26bd_d43c, - 0x959f_e764_a3f2_575f, - 0xd709_6a40_9799_144e, - 0x1c29_c630_347e_9508, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe843_6f46_1411_e72a, - 0x2c1a_4034_7249_2a59, - 0x1347_0a8d_938a_b691, - 0x25e3_34b5_cec9_3544, - ]), - pallas::Base::from_raw([ - 0xcec5_d233_9cad_4b3d, - 0xa40d_0761_a4cc_45ab, - 0x194c_d250_2d80_84b2, - 0x0160_64db_6159_2474, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe2f0_65b5_2537_5cc9, - 0x2528_5987_8c88_25ab, - 0x9252_31c1_bc9d_6a66, - 0x379c_2bd0_c190_9c7e, - ]), - pallas::Base::from_raw([ - 0xa0fb_efa7_6375_9430, - 0x430e_1e41_7b73_83f0, - 0xddea_123a_66f3_6e40, - 0x11a9_c254_99d5_9f1b, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0b5a_9e1e_862e_edaa, - 0xc0a3_4382_61ff_61c6, - 0x4b41_f6dc_4801_f3a1, - 0x0c6f_c7b2_d365_6f82, - ]), - pallas::Base::from_raw([ - 0xf30d_50e8_3e60_3bb5, - 0x589f_b478_7d54_8e5f, - 0x06d5_b032_d1ea_0eeb, - 0x2492_a76d_96dc_fe8e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0719_4d69_3a4f_e5d9, - 0xc3f4_ced6_5ced_7022, - 0x1965_c5c3_f9ee_e6b7, - 0x0c17_5d45_3bb5_0e04, - ]), - pallas::Base::from_raw([ - 0x6e28_e65c_02a8_979a, - 0x9155_bdb2_213a_1ec2, - 0xa592_5dd2_ac1b_a08a, - 0x106e_3d4f_2d01_2990, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2af5_5769_718f_6d0a, - 0x0acc_0135_db3d_9c80, - 0x31f8_9d95_9313_5e05, - 0x26e5_eae3_20ed_b155, - ]), - pallas::Base::from_raw([ - 0xd75b_fdee_b95f_d1c9, - 0x1e63_a80a_818c_5374, - 0x4bb1_c3e6_0f0b_c040, - 0x1d05_882a_cd14_4b0c, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7ec3_90f2_5e39_5b94, - 0x4230_0755_c68f_a549, - 0x9210_9733_af81_0407, - 0x310d_60d7_14eb_00d9, - ]), - pallas::Base::from_raw([ - 0xce04_43cb_4410_650a, - 0xb1c0_4053_f900_ef43, - 0x4087_e7a3_9312_1fdd, - 0x3ee2_559e_cdce_ec5c, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa2a0_b2bb_c709_eb43, - 0x8ade_17ea_bf18_0624, - 0xbe3d_cee5_1eac_8187, - 0x1719_0481_09ec_ac8d, - ]), - pallas::Base::from_raw([ - 0x2abc_973a_cc15_a05b, - 0x50a8_df0b_570a_193a, - 0x87f1_e098_4f0e_1d44, - 0x1267_3ac5_b9fe_f8c5, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb461_d0fe_6d58_3369, - 0xccbc_110f_c982_9287, - 0x0263_da47_2626_a5f0, - 0x1289_d222_9c37_19c6, - ]), - pallas::Base::from_raw([ - 0x7f84_d109_f869_6212, - 0xe7b6_8435_60c9_f37e, - 0xc9ab_26a3_a8a3_b9aa, - 0x08a7_e5e9_d4ad_1e44, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd657_d70e_67a6_cffb, - 0x1bc2_8f7a_f5d8_d663, - 0x176c_cb97_5e2e_acdd, - 0x08dc_48f1_a91c_222a, - ]), - pallas::Base::from_raw([ - 0xc6aa_0ceb_40b6_128c, - 0x94a1_9ee5_c270_a217, - 0x9f79_f114_a1f4_083a, - 0x21f4_0941_aa55_b3d0, - ]), - ), - ( - pallas::Base::from_raw([ - 0x84c6_e703_7113_c2c1, - 0x9549_5a9a_5e2c_f521, - 0xae9d_c0a2_1bc8_b85e, - 0x2bde_7809_257f_2d02, - ]), - pallas::Base::from_raw([ - 0xa114_c0a6_314e_d2f9, - 0x9be7_e608_3d7e_876f, - 0xc105_6823_d929_fd2a, - 0x15ac_6d2a_83e2_50bd, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb0fe_9fd5_a421_340b, - 0x48e4_f171_3c9e_cd26, - 0xe4f4_ac71_3d4a_95bc, - 0x312b_6128_1ab5_d033, - ]), - pallas::Base::from_raw([ - 0x405b_d400_afdb_5d9c, - 0xaaeb_8090_ef6b_9390, - 0x7469_c0b3_e23c_53dd, - 0x2e4f_21bf_b05d_4559, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa0bf_d82b_7612_2e84, - 0x6c78_ca0a_b548_2d27, - 0x75ae_5653_62af_eb1d, - 0x089b_3b7f_8bd4_ea08, - ]), - pallas::Base::from_raw([ - 0x7fca_3834_c670_2579, - 0xa062_31d2_085d_6258, - 0xb32f_6836_d782_eb34, - 0x3708_e831_35ae_10c4, - ]), - ), - ( - pallas::Base::from_raw([ - 0x9f6d_c014_6c05_c7fe, - 0x1119_b3b5_d67c_a65f, - 0x45bf_6d2e_f7e6_fe54, - 0x0141_08ac_9ab6_3e4f, - ]), - pallas::Base::from_raw([ - 0x57f9_36e7_a514_d173, - 0x3d4e_a9b8_283e_a3f2, - 0x0b45_9bbe_bf56_d8df, - 0x0096_be83_6417_c3ce, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbf84_7e6e_a60a_1e10, - 0x007d_0da9_59a1_8af7, - 0x9b66_6f39_805d_f26e, - 0x2dda_a8b1_c70d_4798, - ]), - pallas::Base::from_raw([ - 0x8afa_e4a1_2104_3215, - 0xfc45_281d_665c_435f, - 0xcf42_5d23_97a4_d0d6, - 0x203b_d5e4_3544_e416, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6355_a342_c769_b991, - 0xaf94_3561_7ca8_fba5, - 0x9bc6_1953_1bc6_867c, - 0x35c6_b4b2_7ce9_8c84, - ]), - pallas::Base::from_raw([ - 0x358b_52f2_aa05_d0e2, - 0x1e36_f404_1069_11a7, - 0xdfb1_775d_f512_925e, - 0x2f0e_4cff_2885_5660, - ]), - ), - ( - pallas::Base::from_raw([ - 0x9bc6_45aa_659d_394f, - 0x63fb_f9d5_aff5_52c2, - 0x2a81_a1f9_157d_0ddf, - 0x0840_8d6d_792b_1bdd, - ]), - pallas::Base::from_raw([ - 0x6214_c9e0_a442_6fed, - 0x580c_2dc1_b2dc_4db0, - 0xdf6e_7ce6_7c07_8b91, - 0x149b_86c7_aa0a_5807, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2366_fb20_016a_d15d, - 0x7e11_a509_32be_92a2, - 0xdf46_3c90_d34d_85db, - 0x3b7d_3524_37fb_ddae, - ]), - pallas::Base::from_raw([ - 0xd701_78a2_e2e7_3b2c, - 0xeb76_7a60_49bb_fd17, - 0xa081_0c5a_7118_8504, - 0x30e1_da14_7a31_ac8a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x996c_1cc3_79a3_05e2, - 0x61d9_35a7_da7f_f9df, - 0xe77e_3c50_0e84_d1fe, - 0x119d_6098_c1df_c009, - ]), - pallas::Base::from_raw([ - 0xe83c_68f6_0bac_ad89, - 0xe3e4_5f6b_7f33_8aea, - 0xcb02_edb7_2703_0a11, - 0x0dfe_fcd8_c7a0_37d2, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0249_e1ef_c0c1_2e3f, - 0xfd35_f750_fc1b_140e, - 0x34cc_fd25_ee0a_24a4, - 0x2d85_ea37_1450_e936, - ]), - pallas::Base::from_raw([ - 0xea03_7e87_7076_c6a6, - 0x1e86_054a_7181_9a98, - 0xc8b2_0a67_de55_ffdd, - 0x2fa0_f1dc_c560_6ead, - ]), - ), - ( - pallas::Base::from_raw([ - 0x149d_4058_8269_142a, - 0xc47e_8699_87cd_0c7e, - 0x9083_84e4_4ce8_c260, - 0x0d65_ccec_99ef_3d51, - ]), - pallas::Base::from_raw([ - 0x3d9f_bece_1b95_bb5c, - 0x7369_87ea_5b12_60ce, - 0x69c5_cc43_e099_3c2c, - 0x1296_2805_bcb2_5e3d, - ]), - ), - ( - pallas::Base::from_raw([ - 0xfd0f_79ac_f857_70f6, - 0x2cad_5ad0_3b87_58f2, - 0xd79d_4eba_953a_f087, - 0x0074_778c_62d8_0363, - ]), - pallas::Base::from_raw([ - 0x4d53_43bd_75b7_04b2, - 0xfb69_64df_389f_bd6c, - 0x0999_4f51_36f1_c414, - 0x0776_f4ae_c6cb_4e85, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2207_b16e_8cac_9dc4, - 0x6fcc_2464_92c3_0265, - 0x1f05_e00a_14f4_b845, - 0x01a9_d4be_c204_e872, - ]), - pallas::Base::from_raw([ - 0xf783_69ae_24fb_81a8, - 0xf741_a8a2_38ae_9967, - 0x4408_0885_faae_b30d, - 0x03f7_7f1f_49b9_18e6, - ]), - ), - ( - pallas::Base::from_raw([ - 0xad73_e083_fd4b_c101, - 0xb299_c606_ca3b_197f, - 0x61c8_0000_0ba8_6506, - 0x1691_35f3_c4b5_4f76, - ]), - pallas::Base::from_raw([ - 0x8760_58ce_eb92_e28c, - 0x34f0_16e0_f86c_0e2d, - 0x86b0_495e_c47b_3f50, - 0x03f1_c42b_c4c5_85ff, - ]), - ), - ( - pallas::Base::from_raw([ - 0x017d_94b7_2cab_798c, - 0x8d6d_cb5b_18aa_f523, - 0x8e08_8b5d_8994_c20b, - 0x19ba_e178_e635_fe13, - ]), - pallas::Base::from_raw([ - 0xab27_84b4_994a_0119, - 0x9da4_fe0e_635c_7e33, - 0x1143_8112_caa2_afc4, - 0x3acf_da94_ded9_c4e7, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbbce_cb08_317a_55bc, - 0x36aa_ddcd_3238_f0e6, - 0xdf00_05b6_e6ab_d61e, - 0x2527_c64e_053d_087c, - ]), - pallas::Base::from_raw([ - 0x6be8_48ee_033a_68ef, - 0x55a3_f9ac_d4f4_cee1, - 0xf6dd_57ce_d465_28bf, - 0x1e27_ea7d_b509_cc96, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe5bc_12d9_9516_4280, - 0x2a00_0dc2_5125_5df6, - 0xa936_924b_164c_d882, - 0x34a9_358a_32a8_ce49, - ]), - pallas::Base::from_raw([ - 0x60e8_77e4_dfcb_aca2, - 0x0aa5_3e88_25f8_a521, - 0xe325_6cc5_83dd_f098, - 0x3bdb_fc5c_5aa3_cdb8, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6d95_f7ea_ea3d_16d8, - 0x03c0_4e9a_6bd6_5383, - 0xec05_bb17_c4fe_b283, - 0x289e_03a5_ed1f_3b07, - ]), - pallas::Base::from_raw([ - 0x2b6a_c52f_feb1_7686, - 0xbcb7_da92_4e49_8948, - 0xa995_cd81_d04d_dbd3, - 0x0c46_6c57_1159_224a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6093_9be7_a4d2_9f0c, - 0x1518_62a2_b799_0aa2, - 0x44a3_e62c_1ce7_8cc2, - 0x201e_25ea_427d_e5f3, - 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0x46fc_698d_e305_8e9d, - 0xed82_7429_e58b_0e53, - 0xff3b_2ab5_65d8_30e8, - 0x2ee6_898e_6f25_1e50, - ]), - pallas::Base::from_raw([ - 0x2fea_1665_b778_7f9e, - 0xa84c_eb52_339e_9083, - 0xfc32_2809_6906_9bf6, - 0x22a0_7570_d244_95a4, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8b2e_1430_028d_9350, - 0xa9ad_41fb_bf86_26c0, - 0xecff_6798_0a63_b4a7, - 0x38ec_640b_0d84_abd2, - ]), - pallas::Base::from_raw([ - 0xda17_249d_9fd9_ddc4, - 0x3862_5d42_a318_2c13, - 0x74b0_4c68_5377_a262, - 0x1e61_c8ab_ab50_80ed, - ]), - ), - ( - pallas::Base::from_raw([ - 0x9263_3bf4_9d92_db8c, - 0x5b42_7e02_12d6_fcc3, - 0xd20c_2b5b_3c99_9c68, - 0x34a7_46a8_736d_3635, - ]), - pallas::Base::from_raw([ - 0x484c_9af1_9fc0_7320, - 0x2362_4c04_4eb0_ddc2, - 0x27e8_3514_854d_3b73, - 0x3064_16e8_7ca7_c73b, - ]), - ), - ( - pallas::Base::from_raw([ - 0x32d4_110d_cc45_356b, - 0x48f4_7f5e_fc03_07ae, - 0x7853_0e2b_f3ff_9683, - 0x36d6_91ab_da05_2e5f, - ]), - pallas::Base::from_raw([ - 0xbedb_da77_5302_ff2e, - 0x4a4c_5917_f279_7024, - 0x0a89_7f1c_02e3_d7f5, - 0x01ac_b0f3_614f_a0e4, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4ed3_24c0_f046_d8ff, - 0xd81f_1aca_41bc_54b4, - 0x633d_70fd_3193_5850, - 0x2f15_eb03_9398_a90e, - ]), - pallas::Base::from_raw([ - 0xe7be_4499_5af7_37c9, - 0x073c_911b_0333_2ce7, - 0x6ea6_25ed_f5ff_2dda, - 0x0290_63f6_092d_d3df, - ]), - ), - ( - pallas::Base::from_raw([ - 0x15f2_260b_7092_c6c1, - 0x00fd_36e3_678b_2424, - 0x1463_36d5_403d_3290, - 0x26cc_d620_a8dd_a6be, - ]), - pallas::Base::from_raw([ - 0x24d6_05f8_d93c_5bf6, - 0xbe50_1490_75ca_0894, - 0x70ea_d543_4183_1118, - 0x197e_4293_be61_e514, - ]), - ), - ( - pallas::Base::from_raw([ - 0x9b50_3271_5c73_4456, - 0x2aff_79cf_b329_881f, - 0x20ad_27f7_8677_2305, - 0x1fb2_df9c_0084_6254, - ]), - pallas::Base::from_raw([ - 0xd726_501c_633c_d28f, - 0xee75_e9bd_87c7_1d7e, - 0xe5a0_ffd1_3d7a_a3dc, - 0x3501_2a18_8aab_9aed, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa5e3_3bb7_1725_a038, - 0x1a6f_44fa_d126_caec, - 0xc682_0c7b_8b6b_3c11, - 0x1e69_1a87_f24b_4f92, - ]), - pallas::Base::from_raw([ - 0xef4b_cf4f_cd8d_ce42, - 0x9ed4_61f9_5a17_0c8a, - 0x885b_451a_cc3e_7b33, - 0x17e0_4dc9_ffb0_95b4, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe134_a4de_1af0_e032, - 0x6055_abca_fd65_aa29, - 0x8109_bd0f_7563_29f6, - 0x3d92_2e0c_6fcd_9ba6, - ]), - pallas::Base::from_raw([ - 0xa51d_b5ff_c901_49ed, - 0x8886_223c_be3a_44da, - 0x9cf3_0d83_8bc7_63f1, - 0x23d6_dc61_5576_d09a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x79e2_836e_2b2a_990c, - 0x982d_0f03_434f_7eb9, - 0x8bd2_b47f_e76c_d5ab, - 0x1560_a3d5_02ce_9002, - ]), - pallas::Base::from_raw([ - 0x38ca_701d_79f6_f538, - 0x0e6a_15a2_265a_5ca7, - 0x6941_bbbd_ce8a_3cdb, - 0x22ed_bcbd_725d_71c2, - ]), - ), - ( - pallas::Base::from_raw([ - 0xeb62_42b4_9b2b_17cc, - 0xdc45_c0bf_cfb3_b708, - 0x1ae9_71ab_fd1a_3f3e, - 0x3850_926a_6116_f9d5, - ]), - pallas::Base::from_raw([ - 0xdb46_22f9_99d5_1a3a, - 0xddcd_2618_7398_1ef3, - 0x3bb5_8508_b3d1_3894, - 0x2001_6ee8_a7ee_6a67, - ]), - ), - ( - pallas::Base::from_raw([ - 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0x14f3_b690_9f60_efab, - 0x27ba_de97_ba05_a771, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3781_a814_a454_5341, - 0xa839_4f11_8db0_db87, - 0x5f89_9340_4408_04e2, - 0x32c2_7af2_a581_5018, - ]), - pallas::Base::from_raw([ - 0x5072_470a_53d8_4521, - 0xf3ca_f426_f878_4d19, - 0x59c7_fc07_0d03_a314, - 0x05c9_4781_d82a_2a15, - ]), - ), - ( - pallas::Base::from_raw([ - 0x80d1_8205_7021_0e5c, - 0xc3c1_9d74_bb05_c3fd, - 0xb4d7_0972_795d_dc32, - 0x1703_d858_90b0_1ff2, - ]), - pallas::Base::from_raw([ - 0x48a1_ba30_d95b_8f1c, - 0xd8f0_0c72_cf1d_2306, - 0x13ac_ce4c_3128_9a52, - 0x3e18_5f4b_f046_df12, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6fe5_75df_15be_5ace, - 0x2c1f_ad80_7746_0b25, - 0x1fb9_8d91_95ff_e580, - 0x25d2_f86b_25f6_0374, - ]), - pallas::Base::from_raw([ - 0xe56d_dd9b_adaa_a04d, - 0x443a_5452_103d_3d0c, - 0x268f_e354_2b01_c30f, - 0x360a_d0af_c036_b6ec, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd5be_3219_7358_df23, - 0x36cd_6c6c_65c0_9b4d, - 0x2886_ca9d_7d3a_f212, - 0x0ad0_c100_2c7f_f83f, - 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0xf61d_1974_ab2a_d20b, - 0x3a16_a2b3_28cd_a978, - ]), - ), - ( - pallas::Base::from_raw([ - 0x479a_9ac8_e884_e011, - 0x504e_93b0_cd03_ae26, - 0xc711_9e1f_1319_e977, - 0x3793_11e7_db77_15e7, - ]), - pallas::Base::from_raw([ - 0xf05b_ef48_6578_ec58, - 0x05b9_b52f_deca_50dd, - 0x6c92_c4fe_9bf6_95a2, - 0x2ae6_65e4_8ad7_556d, - ]), - ), - ( - pallas::Base::from_raw([ - 0x9418_f007_3a11_5039, - 0x84ba_f7e6_293c_aa1d, - 0x4be5_7bb5_6c37_e8e8, - 0x2e01_0c6c_ba9d_2f9e, - ]), - pallas::Base::from_raw([ - 0xb30c_63c5_793a_1373, - 0xc2a7_a868_e4da_a692, - 0x789f_e67b_b71f_b6dd, - 0x2812_c192_3126_8e2a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8a3e_8b6d_d6fb_bcb6, - 0xfab6_9586_3583_cbe2, - 0x3d2e_3c47_a4bf_b5a1, - 0x1715_0e76_b351_e99d, - ]), - pallas::Base::from_raw([ - 0x2ea8_22fa_65a4_7757, - 0x1f2f_e64a_c655_741c, - 0xd1aa_205a_f5ac_9570, - 0x27cf_dd88_0836_c8e9, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7d30_5f29_822a_7979, - 0x8082_4fc1_a364_96e2, - 0xf73d_1cf4_c77a_0f4d, - 0x1c9c_be3c_6a19_26be, - ]), - pallas::Base::from_raw([ - 0xaa17_af8c_1c76_1823, - 0x09d0_a290_baf6_e926, - 0xf61c_06f8_b5d6_c22b, - 0x172f_1a6d_fc32_d9cd, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5ad3_8743_b520_2fb9, - 0x083a_2695_50be_40d2, - 0xb911_1803_3f67_cde3, - 0x2846_f462_30cf_b810, - ]), - pallas::Base::from_raw([ - 0xe223_b5e7_e937_c54c, - 0xf2c5_77fd_b08b_3f21, - 0xb6c1_652b_7505_a7d3, - 0x2c8f_a498_2e60_e130, - ]), - ), - ( - pallas::Base::from_raw([ - 0x56bb_e185_4175_95f3, - 0xecc1_0053_9407_c202, - 0x90a5_c415_7630_fd2e, - 0x1f33_8ef2_6410_ce20, - ]), - pallas::Base::from_raw([ - 0x1a3b_5459_1a56_b7d4, - 0x2711_c42b_cfc8_bd25, - 0xb313_42d6_a462_1965, - 0x1e04_5727_6c6a_be28, - ]), - ), - ( - pallas::Base::from_raw([ - 0x33f0_122d_1fc2_e9d6, - 0xbbaf_07e2_6d0d_b5f4, - 0xada4_e1db_90f2_0928, - 0x320d_78d3_7e1f_9b51, - ]), - pallas::Base::from_raw([ - 0x6d4f_fe2f_b80e_79f9, - 0x1697_46f5_0160_9c4d, - 0x9c94_aa69_371f_e117, - 0x08ff_a47d_8297_7661, - ]), - ), - ( - pallas::Base::from_raw([ - 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0xab74_33bd_7e33_68dc, - 0x1792_ad2e_7f54_a000, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8792_f6ef_0395_a9a7, - 0xd375_7f3d_66c2_7229, - 0x6949_e876_d5c7_9010, - 0x176c_f116_0c7f_8ba7, - ]), - pallas::Base::from_raw([ - 0xf0f5_d8f0_a98d_c2bf, - 0x4118_e09e_ac6c_d9e9, - 0x4ed1_51e4_5f97_f657, - 0x13e7_3756_26b8_54e4, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbccd_3257_f3c2_06d0, - 0x3139_8eae_f991_a342, - 0x5a2d_4414_2fa3_5a6c, - 0x3cef_bcc7_13f6_3152, - ]), - pallas::Base::from_raw([ - 0xc806_3b97_017e_00ab, - 0x5e20_fdd5_44b5_acc3, - 0x6cce_c0f6_ef8f_18cd, - 0x14ee_4b77_ec6a_bfeb, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc096_2238_58db_eab3, - 0x5c0e_61b0_db10_ef29, - 0x6c9a_f1ed_8acb_1da4, - 0x3f76_fe73_c425_d939, - ]), - pallas::Base::from_raw([ - 0xdad4_82e8_b280_556f, - 0xc3f4_06de_7fdc_c54e, - 0x37ca_88b8_1d36_54b9, - 0x0261_f776_7244_a4d3, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7e1c_ca9a_a12a_8efe, - 0x948b_62a8_c522_ec9b, - 0x9dbb_049b_218c_3df8, - 0x1efd_3a6c_d255_af78, - 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0x37c7_a20c_4619_28c1, - 0x2adc_5a85_4126_6b62, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3932_ba35_42e2_61ba, - 0x3a1e_399e_82de_4dcd, - 0x3a5f_6dff_03ac_3c73, - 0x2cbd_15f4_53d9_16a9, - ]), - pallas::Base::from_raw([ - 0x2425_a35f_a98d_8937, - 0x0a66_a2d3_5d9f_588c, - 0xf832_8c5a_3951_852b, - 0x0848_6f66_b4a2_dd55, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa4c3_8380_3a4d_9564, - 0x109a_bd0c_31eb_54f2, - 0xa83d_57b4_b012_a211, - 0x3949_c80c_4cfd_3f85, - ]), - pallas::Base::from_raw([ - 0xfdcd_3f0d_1ef1_9e40, - 0x47f8_5477_4692_b481, - 0x60fc_0e1d_252f_8607, - 0x1547_2a08_45c3_dc19, - ]), - ), - ( - pallas::Base::from_raw([ - 0x042e_596d_48e5_7baf, - 0xd9d7_3041_cb15_f628, - 0x65ec_a378_4e88_0916, - 0x059f_7f0d_27e9_01da, - ]), - pallas::Base::from_raw([ - 0xd37d_77d4_4cf8_b443, - 0xbfa1_72a6_7d41_76ec, - 0xd8c8_b761_2524_7b4e, - 0x079b_6488_5c2d_24f5, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd29f_0703_a4b5_6dbe, - 0x75e2_6aa8_956b_46fc, - 0x84a4_49e7_02e2_2806, - 0x38bb_f1d6_ceac_121c, - 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0x5ef0_9554_fa27_b6cc, - 0x21dd_5ec1_51e4_e135, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc382_c4ea_f9e5_4b3c, - 0x47ea_f27a_b13e_c143, - 0x2a6c_3775_caaf_400f, - 0x08d1_cba6_65ee_26df, - ]), - pallas::Base::from_raw([ - 0xfdf2_f10d_f382_cd25, - 0x812b_4d72_4045_d2f3, - 0xc1c3_32e2_6422_084b, - 0x26a4_9ea4_f176_8cd3, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe132_91ea_94e5_9353, - 0x7d69_5680_fc7b_82e5, - 0xada6_bc9f_fcd7_fe02, - 0x2ad4_e94f_ac41_1335, - ]), - pallas::Base::from_raw([ - 0xf166_8557_d845_98ef, - 0xb6f8_78df_9c3a_5c6a, - 0x0993_e2b9_0073_8ccf, - 0x09b0_6867_4885_ae31, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4161_dea7_2c51_a176, - 0x147b_e228_82c1_8e17, - 0xf47c_b827_d4af_8bcd, - 0x30a0_5ec4_90a9_aa33, - ]), - pallas::Base::from_raw([ - 0x3209_f6db_3ea8_a841, - 0x1d9c_06c6_ea2d_6905, - 0x6afe_34c8_ac39_628f, - 0x35f8_03ed_ac2f_acde, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbe8d_dfdb_83eb_b5ed, - 0x185a_8a55_57ab_07c3, - 0x109c_99b1_64d5_ebb0, - 0x0243_40be_c0e7_c4f7, - 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0x7137_1420_909c_4455, - 0x79a8_72fa_e5ff_4895, - 0x64c5_8a11_259d_2d60, - 0x1b4a_243f_2c40_9d0b, - ]), - pallas::Base::from_raw([ - 0x24b7_097b_3e5c_77cf, - 0x103c_bbe4_8a2c_d3c1, - 0xfb53_ff35_bd2b_0ac1, - 0x3520_075c_da2f_93c3, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf70f_d61e_7311_192b, - 0x663f_6658_1f78_66bb, - 0xb223_dcf3_6099_76c2, - 0x22c3_ced3_c628_b166, - ]), - pallas::Base::from_raw([ - 0xc390_e15b_4656_71ea, - 0x839c_7a74_12c7_d85b, - 0x9eab_c165_478d_f2c2, - 0x0426_245e_279f_b951, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf32e_587b_08ac_a16a, - 0xef0f_0954_a0d1_18d6, - 0x663a_0d0e_0f93_711b, - 0x3ba9_d989_09c2_1586, - ]), - pallas::Base::from_raw([ - 0x67b0_fe69_78fa_f39b, - 0x4365_7c97_5d17_8817, - 0x3634_3954_9a26_d391, - 0x2912_61a5_3c05_d61d, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb213_f8dc_16d9_4935, - 0x6c08_5bb9_8b3f_b3d8, - 0x3c8e_7712_a323_61cb, - 0x1186_5328_9691_8dbf, - ]), - pallas::Base::from_raw([ - 0xdd0f_6a6f_c395_0461, - 0x402e_cdec_f30a_8b9a, - 0x63c0_5442_4a3d_9c82, - 0x1e3b_87b0_e601_4734, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd2bf_fe22_3f25_f8aa, - 0x3d13_dad2_88e3_899a, - 0xe40c_042b_1047_1796, - 0x20ef_355f_b2b9_b7a4, - ]), - pallas::Base::from_raw([ - 0x2584_fc90_05a4_4eb7, - 0xc73d_0faa_e860_285e, - 0xa3a9_e4b5_9dce_93f6, - 0x1002_4764_5a67_73fa, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb44d_d4ef_f05f_ee9d, - 0xd311_e35e_57c3_af04, - 0x6afa_e748_df35_ace0, - 0x2852_47bf_ed5c_af05, - ]), - pallas::Base::from_raw([ - 0x67e1_bbc4_0409_5959, - 0x1064_023c_f1ce_c606, - 0x12ea_7b93_7755_8d2c, - 0x14e6_9d5a_a6ca_0da4, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3dad_64a1_41cc_bf58, - 0xcd45_cc95_e1bb_6d96, - 0x4f71_1071_c168_9f44, - 0x0f42_27ce_35ad_602c, - ]), - pallas::Base::from_raw([ - 0x54ef_0524_e72a_f65c, - 0x7baf_4d83_432e_dfbc, - 0x3479_4bfb_b7eb_9917, - 0x1bad_5ff2_bc75_3f5e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x17df_6323_6eb4_e4a0, - 0xec9a_1e58_c280_b973, - 0x5a8d_46ad_12ab_e217, - 0x0222_2ecc_4b1f_79a4, - ]), - pallas::Base::from_raw([ - 0x8dc6_c26b_627e_cfc3, - 0xcad4_3492_8c57_feac, - 0x4c7e_c57f_f201_761e, - 0x1a7a_19c9_ebec_a09f, - ]), - ), - ( - pallas::Base::from_raw([ - 0xfbdd_d33a_def4_3e8f, - 0xd650_1c5d_0b0f_e30a, - 0x6fd5_fd34_c4c8_ef1b, - 0x337e_4fbe_c8b3_3a4e, - ]), - pallas::Base::from_raw([ - 0xfe9a_5311_7c98_6fb1, - 0x90fe_d9ee_d112_899c, - 0xa935_19db_c171_8814, - 0x1a32_d859_2e42_f132, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbd1f_570e_d595_ab4c, - 0x2e11_069e_dc17_bceb, - 0x5c63_4ef5_02d2_93e8, - 0x3be4_949d_9d7b_53c5, - ]), - pallas::Base::from_raw([ - 0xf087_456a_6cc0_0eac, - 0xb68e_6724_73b7_edeb, - 0x9548_e552_8391_9a99, - 0x0107_0f1f_04ae_b5d6, - ]), - ), - ( - pallas::Base::from_raw([ - 0x493a_9aea_3262_6e17, - 0x7b8e_4c15_74b2_e969, - 0x8053_61b6_b5f2_ca98, - 0x39d7_c501_1792_79a3, - ]), - pallas::Base::from_raw([ - 0x53d3_5c19_43dc_f2e9, - 0xba13_604f_47bf_3260, - 0x8324_b8e7_4d46_596a, - 0x1882_9bdb_b7d8_45eb, - ]), - ), - ( - pallas::Base::from_raw([ - 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0x50dd_72f0_eb8a_e400, - 0x3f3c_db56_a787_8aad, - ]), - ), - ( - pallas::Base::from_raw([ - 0xff0a_53a6_55f4_b430, - 0x0fbe_41a2_841c_8e6b, - 0xe44a_6249_5534_24da, - 0x3d16_d183_cfd9_e4f3, - ]), - pallas::Base::from_raw([ - 0xf173_7a47_4a12_010d, - 0x3386_2a20_5ae3_010c, - 0x9475_ac8c_7cc9_6eb2, - 0x2d5e_edba_92e3_787e, - ]), - ), - ( - pallas::Base::from_raw([ - 0xec32_bdcc_3ab6_8bc8, - 0x5ef1_c68d_8205_6ba8, - 0x2a79_c6b1_760f_230a, - 0x0269_c007_4842_ac02, - ]), - pallas::Base::from_raw([ - 0xdea5_6a73_acf7_0dd7, - 0xefae_24fd_d605_d32c, - 0x7644_0179_5a72_8a8f, - 0x29bf_5935_ee3b_cf0d, - ]), - ), - ( - pallas::Base::from_raw([ - 0xafec_fca4_d928_57e0, - 0xa2ef_4a25_2d8d_462a, - 0x3f9c_1cd2_7b1f_8c08, - 0x3f06_e865_ae86_e74e, - ]), - pallas::Base::from_raw([ - 0x2bca_60c6_542a_5cce, - 0x2017_a0ca_ddf9_1f45, - 0x9ee1_6a4f_f103_b9cf, - 0x3795_5bec_4580_dd2a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8691_e4b4_c1cf_edc6, - 0xb4f6_468c_8120_fd13, - 0x05b1_7517_b826_dc89, - 0x0c61_3568_3cef_710c, - ]), - pallas::Base::from_raw([ - 0xb119_025f_6be2_1c59, - 0xe60e_c8d4_cc1a_34da, - 0x61ba_a8f8_bd7a_34ff, - 0x1c27_2a98_a433_d3ba, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc775_8f6e_229b_53c4, - 0x8187_14e3_1fd4_834f, - 0x9b72_1c14_5292_b1f4, - 0x2ad0_635e_fd85_69a0, - ]), - pallas::Base::from_raw([ - 0x359a_b6e7_a119_d83e, - 0x598f_fc63_1f64_1ef0, - 0x444e_4b2b_7792_20fd, - 0x03df_5258_e7c9_9279, - ]), - ), - ( - pallas::Base::from_raw([ - 0x9134_5261_be30_5e2e, - 0xe6d4_a11d_a37a_2874, - 0xba1c_281f_b344_e7ec, - 0x160d_d9d7_58da_88b5, - ]), - pallas::Base::from_raw([ - 0xdade_8f8f_bbfe_566a, - 0x2000_6526_5423_f35f, - 0x0f19_01f2_71a6_22a5, - 0x32a0_503a_fecb_2320, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0683_5997_1217_55ba, - 0x2a57_c9d0_8730_2e1b, - 0x8f07_c57b_3fdc_d076, - 0x0849_b2af_ec11_13b5, - ]), - pallas::Base::from_raw([ - 0x13d6_5361_9c27_882d, - 0x84d9_028a_a60f_5d93, - 0xf1ee_437b_33fa_62f2, - 0x0c6f_0de4_3fdb_971d, - ]), - ), - ( - pallas::Base::from_raw([ - 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0x756b_e2a2_52bd_b271, - 0x33f2_bb74_d656_6f3b, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc8fd_7256_d6dc_d9b9, - 0xca03_c9d8_7f65_7f5e, - 0xfd39_43fa_2bf6_46db, - 0x22c1_594f_6399_a591, - ]), - pallas::Base::from_raw([ - 0xa3d3_1b89_58be_066c, - 0x3776_df4c_4371_d751, - 0x6b4f_1dcd_0000_7a87, - 0x3a6d_83e9_a433_e219, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2bac_92ca_749d_8ca1, - 0xcdff_b76a_d983_64c1, - 0x4a71_9e43_074b_e266, - 0x211d_199f_4af1_3d31, - ]), - pallas::Base::from_raw([ - 0x615c_f375_7d8a_3f72, - 0xe271_0a4e_2b25_e0cf, - 0xe07e_62f8_a9e1_180f, - 0x3668_5169_d28f_4663, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5026_b92b_a025_7211, - 0x0f61_be9a_2a03_558b, - 0x6eb5_4fce_c558_57ce, - 0x3193_20a0_380e_6bd7, - ]), - pallas::Base::from_raw([ - 0x6fe5_1d43_554a_f6a8, - 0x6ff0_48c0_b9c9_f972, - 0xb6f3_7bca_07a3_0477, - 0x01b4_080c_f397_6ea1, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0c85_14b2_21c5_bf83, - 0x6a65_f7f8_f786_f1e3, - 0x3c45_3a2c_865b_f046, - 0x18e2_8c3f_fbc1_e707, - 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0xc306_776a_68aa_2318, - 0x2ac3_5afb_37f0_64ac, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3ade_cfe8_e5e3_3497, - 0x6c41_930f_374a_cbed, - 0x12b0_f864_c7a8_8ad8, - 0x370f_dfb0_97f4_2558, - ]), - pallas::Base::from_raw([ - 0x7220_b1e4_1ab5_cf99, - 0x1632_92de_779c_623c, - 0xb034_0022_4b4a_86e7, - 0x309b_afa2_6ef2_925b, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3406_5012_f9c0_5127, - 0xc828_f419_9900_4b75, - 0xf6d7_a11d_f480_e3f3, - 0x2d33_2d46_fc42_f207, - ]), - pallas::Base::from_raw([ - 0x2e46_6250_9e68_6ee3, - 0xabfd_de7c_df9e_5e25, - 0xfd57_0e95_4b02_75d5, - 0x2477_ef02_28ea_9a13, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbc3e_e22f_76ca_58be, - 0x3ea8_77d8_d59b_c50b, - 0xa88b_9b65_778b_d746, - 0x3ac6_7681_a682_1563, - ]), - pallas::Base::from_raw([ - 0x012d_26a1_75a2_a60c, - 0xd293_1675_5b9e_520e, - 0x7bb3_81b2_f90a_0804, - 0x33a1_bb0d_70de_7a89, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb0ca_c9ca_8444_ee90, - 0x968e_19ad_ff27_1d61, - 0x3f26_3e09_835a_f66b, - 0x05bd_71f7_da1c_0c64, - 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0xbddd_f903_c50f_6c61, - 0x2f3f_845e_eaa9_03e7, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7338_6610_264b_147f, - 0xe78a_eae6_e018_7005, - 0x909e_4f4d_6e92_b8fc, - 0x20ec_33c4_98b4_3f28, - ]), - pallas::Base::from_raw([ - 0x29a8_eaa1_5507_3eea, - 0x729d_227c_2a31_1b0f, - 0xb154_9c99_6dee_651b, - 0x3060_2ac3_8a24_17f5, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3fa1_0f32_fc38_d1e7, - 0x1130_716c_d00c_2e12, - 0x8b7b_e7ee_bb9c_cf07, - 0x03dc_0d4e_7c25_b4c8, - ]), - pallas::Base::from_raw([ - 0xcc37_2d2f_1cf0_494e, - 0xf281_1971_693f_a7cb, - 0x71c8_5723_0112_d789, - 0x0b3a_4062_de68_d35a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2e57_965d_8fe6_3cf5, - 0x1e7d_0375_96cf_b42f, - 0xe4eb_acfa_e071_f221, - 0x18c8_30aa_25a9_b96b, - ]), - pallas::Base::from_raw([ - 0x1e35_c955_b145_dba5, - 0x38bf_a239_4c66_8c55, - 0x2b79_b6c0_0ae1_44e5, - 0x3306_70f2_2a1a_de18, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0337_c17d_8089_522c, - 0x8cf3_b7f9_e509_1e93, - 0x30c2_0095_5bf9_2882, - 0x1803_6e94_3474_308f, - 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0xc64a_aab0_e77d_ddc3, - 0x28b6_ce44_dd17_b086, - ]), - ), - ( - pallas::Base::from_raw([ - 0x1729_f03e_c757_de09, - 0x8714_d598_3cae_ddd6, - 0x46bc_981b_76f8_5cbe, - 0x1b7c_7a5d_98d4_34b6, - ]), - pallas::Base::from_raw([ - 0xfb61_8881_0f97_fafc, - 0x769e_1253_4744_7d00, - 0xe166_94e5_6b37_ac66, - 0x0e0d_592c_aaa4_40d6, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb477_691c_7b9a_4e74, - 0x1c61_eaa0_b273_998a, - 0x9295_2b04_a869_8738, - 0x18ae_d1c7_f94d_31cb, - ]), - pallas::Base::from_raw([ - 0x63b4_a102_91a0_3aa0, - 0x8456_6a59_cd00_e2e8, - 0xd9ac_8f76_f4fb_99ea, - 0x249a_c33c_1f19_006c, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa611_c5c5_9dd9_c129, - 0xb449_431e_460c_3b9a, - 0x8aca_28de_50ac_6407, - 0x2be1_f2a6_a7a7_ef47, - ]), - pallas::Base::from_raw([ - 0xa14c_46c9_87ca_1f52, - 0x40fd_f4bb_a4f9_9362, - 0x99f2_8ce2_fff0_5d47, - 0x2339_e672_20fd_6223, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb07e_39ee_d553_19df, - 0x2e2e_a2b6_cd63_7b9e, - 0xb230_1c5c_5876_4d85, - 0x3101_8876_853f_6e11, - 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0x1a49_dcca_d569_77a0, - 0x2769_7440_2b48_e461, - 0x7635_b7b2_f6c1_424a, - 0x2be6_10f4_a289_b89f, - ]), - pallas::Base::from_raw([ - 0x3e61_c167_3ef3_fc04, - 0x704f_268b_ce47_f0ed, - 0x1445_3f5f_d2de_d836, - 0x2cc9_d834_4ecd_1dd8, - ]), - ), - ( - pallas::Base::from_raw([ - 0x11be_a2a7_7c43_e243, - 0xaecc_1a58_bb49_1e6a, - 0xad18_3b6c_844b_4f3e, - 0x3af2_29a8_1e78_8c01, - ]), - pallas::Base::from_raw([ - 0xe5c9_8811_3857_46dd, - 0x18a2_37a6_3f4b_065b, - 0x95eb_77a3_8a4f_506e, - 0x0f19_e7b4_bb81_9e9f, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4289_8695_120d_ccc9, - 0x7c47_76b5_b28f_500d, - 0x7387_a0f6_6257_0e43, - 0x3e0a_1a75_0403_726f, - ]), - pallas::Base::from_raw([ - 0xa4b8_617f_f5a5_e2d0, - 0xbf01_7517_8dc0_be8f, - 0x3e12_8a0f_5763_aace, - 0x1019_05b6_1b1b_c5f2, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6a1c_6336_c37a_69b0, - 0xab01_b8f5_4c9c_c938, - 0x4b70_77c2_8858_0ff1, - 0x219d_9462_2657_9313, - ]), - pallas::Base::from_raw([ - 0xf0ca_ec54_481d_b8b4, - 0x9caa_706e_8ced_f819, - 0x892e_4cf8_342d_d927, - 0x241c_1980_c2a8_9519, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2257_583e_eb36_4cc3, - 0x2729_3e7e_d528_5088, - 0x7eca_1457_60f9_6fcd, - 0x366d_41fd_d540_9bb6, - ]), - pallas::Base::from_raw([ - 0x8bfe_2959_1e82_19f9, - 0xbbcf_1722_efec_e216, - 0x9560_fd43_03ee_a5fe, - 0x01a2_ccf4_056f_faa8, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf4b5_ad0b_5218_a94c, - 0x3a24_9090_dd6d_9354, - 0x98dc_0f69_de87_c57c, - 0x3dda_357c_5ff1_403e, - ]), - pallas::Base::from_raw([ - 0x5119_459b_c85d_b13a, - 0x2bfc_720c_90b0_7f40, - 0x8537_0f1d_f88b_d581, - 0x37db_226e_c00e_a298, - ]), - ), - ( - pallas::Base::from_raw([ - 0x63b3_23a9_39a1_77d2, - 0xe62f_9748_713d_01cc, - 0x2508_9050_a0a1_59bf, - 0x3d7c_7c78_e9b8_851d, - ]), - pallas::Base::from_raw([ - 0x3984_54cb_b4b2_6fce, - 0xc06e_f1b1_b11f_d4b9, - 0x4456_781c_e7d7_a297, - 0x04cd_8194_f1b8_f453, - ]), - ), - ( - pallas::Base::from_raw([ - 0x1848_83cb_b617_7af4, - 0x2d57_546c_a4fe_c3d5, - 0x984d_e3a8_9232_dc0a, - 0x0fe5_7d7a_b313_f576, - ]), - pallas::Base::from_raw([ - 0x675f_4ab1_700e_2db7, - 0xb044_6bdd_3a0d_7127, - 0x8d66_c6a3_c174_8080, - 0x339e_ae89_0552_92fb, - ]), - ), - ( - pallas::Base::from_raw([ - 0x28c6_46e7_5497_b6ce, - 0xa3fa_753a_0908_d101, - 0x1f09_d0f5_065d_2adc, - 0x178a_d1dd_216e_1573, - ]), - pallas::Base::from_raw([ - 0x030e_a306_b041_1e57, - 0x762a_03ec_df28_bda9, - 0xa2c1_f35a_ecc9_b51c, - 0x037f_7114_803f_e131, - ]), - ), - ( - pallas::Base::from_raw([ - 0x59ea_b5bb_9453_8366, - 0x5fd1_07f8_c2f0_3024, - 0x491f_9e0a_77a0_85f2, - 0x1948_5bba_5ad6_3346, - ]), - pallas::Base::from_raw([ - 0xe07d_8570_5ff6_f740, - 0xa7eb_9f4b_f78f_ebfb, - 0x4ec7_d8d5_ba74_87e2, - 0x152f_bf0c_1ad3_a448, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8951_a4b7_b88a_e304, - 0xfbba_f494_63d6_2de5, - 0x52dc_f4cf_46fb_b604, - 0x3867_61af_f0a2_8253, - ]), - pallas::Base::from_raw([ - 0xa79e_a333_0c3d_f255, - 0x98c0_1806_eff3_7bfa, - 0xce04_7c7b_36b8_bcd6, - 0x3c8b_a7f4_c363_edea, - ]), - ), - ( - pallas::Base::from_raw([ - 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0x3642_fa4b_19fd_822a, - 0x2485_d135_0391_bb52, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5768_e306_b266_4925, - 0xd2ef_fda1_e729_f652, - 0x21c6_d47c_319c_a9c0, - 0x2401_0c36_e54d_b3ee, - ]), - pallas::Base::from_raw([ - 0x4951_90fc_eb1b_0b80, - 0xf0c2_c315_ee04_91f2, - 0x61bc_9d08_1307_b3d6, - 0x024a_b73e_3607_a264, - ]), - ), - ( - pallas::Base::from_raw([ - 0x107f_387e_54f4_ef3f, - 0x290a_32da_0a43_f56b, - 0x8b9f_8656_4e83_0909, - 0x277f_0f45_b6ae_6203, - ]), - pallas::Base::from_raw([ - 0x546b_2865_f5cc_4c0e, - 0x8270_55d6_07bf_0010, - 0x3f7e_68bd_fe61_0371, - 0x1687_eb45_0f4d_7235, - ]), - ), - ( - pallas::Base::from_raw([ - 0x78a6_4eac_316d_2648, - 0x753e_2521_a67f_50aa, - 0x6e78_79a5_f11f_46fd, - 0x05d9_18ff_b1da_6eb7, - ]), - pallas::Base::from_raw([ - 0xbab9_5863_9bc9_3ae9, - 0xc37b_3f46_04cf_5755, - 0x7de4_ae79_9f29_d2df, - 0x047b_e1a6_060c_00a3, - ]), - ), - ( - pallas::Base::from_raw([ - 0x49c8_71c2_61df_7cb6, - 0x5380_ca6c_e9ea_0b1a, - 0xd05a_4403_41b8_fe0e, - 0x080c_d18c_035f_3d1c, - 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0xd58c_11ef_e1b6_7c84, - 0x01c7_cbc6_23e0_fde1, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5dc4_11b7_be41_9bf8, - 0x6102_61de_71fd_509e, - 0x93df_5fe5_4b6f_15c1, - 0x2b17_a62a_ef55_fc8c, - ]), - pallas::Base::from_raw([ - 0x13e9_27e7_5428_fe43, - 0x3d07_6e3a_5358_d948, - 0x321d_9085_07a0_7394, - 0x2648_17bc_3f85_f5f9, - ]), - ), - ( - pallas::Base::from_raw([ - 0xda55_668c_c5c9_544a, - 0x7dd5_42c2_06f1_4ae9, - 0xb88a_afeb_3d1c_ee22, - 0x1a12_25c2_42a6_d6dc, - ]), - pallas::Base::from_raw([ - 0xd8d8_02d6_7061_f4e7, - 0x1a21_e3e6_ed3e_e0e2, - 0xcbe5_9238_89e5_856b, - 0x0390_44ab_2e17_bd89, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3ae8_41df_e3b7_290b, - 0xf13f_ecde_fd80_6170, - 0xac39_a24e_4ce5_3f97, - 0x26ce_75c5_b2d5_e122, - ]), - pallas::Base::from_raw([ - 0xe473_f056_dc79_115d, - 0x76e3_15a5_ad62_0dae, - 0xa313_6c1e_483c_9721, - 0x3e6d_83ea_86d5_d926, - ]), - ), - ( - pallas::Base::from_raw([ - 0xae2f_741a_d983_16f1, - 0x382d_5858_cf9d_44bd, - 0x384e_98ab_f72d_0fbe, - 0x30f3_d34b_406d_3804, - 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0x4a21_f9c7_5a25_793d, - 0x051f_b653_7e5c_669a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5c77_2c3e_2739_e3fc, - 0xfef3_5127_c5dc_20fd, - 0x93d1_092b_43f0_b004, - 0x3610_1ab4_3a30_2e81, - ]), - pallas::Base::from_raw([ - 0xa206_2c8a_6927_2961, - 0x95ae_1eda_33fe_553c, - 0x0c55_8ed6_13c3_1d9f, - 0x2679_b3ad_0bb1_f518, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4c99_4a2d_9356_6587, - 0xdeeb_0d82_95d1_2d60, - 0xe1c2_2593_45ec_8dc4, - 0x2a35_d2f2_3772_88eb, - ]), - pallas::Base::from_raw([ - 0xdd98_203f_af9d_ee4d, - 0x5c66_2c8c_c521_19b8, - 0xa63e_cdcb_8480_514e, - 0x18da_f4d5_332a_1baa, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd84c_d0ad_ccfa_70c3, - 0x007c_d209_cc31_09a0, - 0x78ed_585e_3225_fa0f, - 0x039e_aa43_428a_bea0, - ]), - pallas::Base::from_raw([ - 0xb8f7_04f9_aa61_c65c, - 0xb502_1eee_d781_1fd1, - 0x5e3a_d1e1_0641_c3b6, - 0x286d_2d99_97fb_09c8, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2f16_78b3_f543_9c73, - 0x9f1b_1cdd_d30a_111b, - 0x1601_479f_9b32_834d, - 0x17c1_c1b6_9420_721b, - ]), - pallas::Base::from_raw([ - 0x5b68_0b72_90c2_201a, - 0xf9f9_cb4d_b01a_bc23, - 0x1d4e_6bd4_f26a_e504, - 0x389d_e069_5988_822f, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb1cc_a546_a26c_bd86, - 0xd581_36f0_8d48_7530, - 0xc022_5c61_93c4_2f07, - 0x3900_59d2_1cdc_6bd4, - ]), - pallas::Base::from_raw([ - 0x6b0c_72de_318e_22d4, - 0xc25b_9e3a_542f_b6b6, - 0xa7a8_06e6_da9f_7440, - 0x3c2a_71ce_4326_8d4d, - ]), - ), - ( - pallas::Base::from_raw([ - 0x50e1_11a2_0489_f122, - 0x07db_1ada_fd5f_8ecb, - 0xf6a6_51ee_1f90_02b9, - 0x25dc_8f85_41ca_57ca, - ]), - pallas::Base::from_raw([ - 0x8241_e6e0_c4ed_eedc, - 0xe1db_5a05_57a0_5392, - 0x4b07_d4a1_6ee5_32a3, - 0x1d1a_0c97_70ed_f432, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb26b_68f6_0086_71f4, - 0x75db_a00b_0b9e_4307, - 0xd9a7_65b7_c82f_711f, - 0x2765_f4c0_27cb_e853, - ]), - pallas::Base::from_raw([ - 0xb2a7_d024_e97a_b65b, - 0x1df5_ee26_7727_2a6d, - 0x6c0e_4551_c789_273d, - 0x27a1_7d99_2875_639d, - ]), - ), - ( - pallas::Base::from_raw([ - 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0xcb52_a623_3314_e4d3, - 0x2ced_c552_f9fc_da21, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe2f2_d321_bc0b_2ca7, - 0xb252_6d8b_b9f2_415b, - 0xbf60_2a8f_52fe_1001, - 0x3d68_f289_95eb_8ebc, - ]), - pallas::Base::from_raw([ - 0x15bc_988c_f260_e0ae, - 0xd3fe_7253_a715_73b4, - 0x5d6e_a086_5a30_55b9, - 0x08ef_9afd_ec67_40fe, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4fa6_d6c3_91be_c514, - 0xb5a8_3229_b864_ecb8, - 0x3559_3f27_4198_2167, - 0x1402_abd3_64b4_91e4, - ]), - pallas::Base::from_raw([ - 0xad4f_91b5_5f82_9cbf, - 0x6078_24ce_bd17_46c1, - 0x8941_5aad_ad35_5caf, - 0x1e1d_54b1_8e31_aa02, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf268_ffe3_ff17_92f0, - 0xd30d_826d_c124_7ab7, - 0xd835_dea8_0451_546a, - 0x07f3_787f_5b1b_6728, - ]), - pallas::Base::from_raw([ - 0x06be_7c30_22da_5b48, - 0x6119_b0af_e57e_eece, - 0xffb2_ef93_3bd0_ebed, - 0x0169_f72c_db1b_2fcb, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe456_2834_294b_888d, - 0xbcfd_513b_64f2_5684, - 0xf08e_b8fb_c4ab_d423, - 0x0fb6_00e3_c86b_b49f, - 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0x1e0c_8c02_6408_9be0, - 0x24b2_4b27_139e_827e, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf33d_521e_4818_701b, - 0x0ed0_6b9b_4fb1_12eb, - 0xd38d_f6b1_d568_5738, - 0x2f83_54a3_e364_1f2d, - ]), - pallas::Base::from_raw([ - 0x2f57_b58b_8e5d_489c, - 0x88b1_ab17_4dc3_61c5, - 0xfffe_6160_1707_a091, - 0x0797_75d9_3fd9_4026, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7d09_4b08_9f06_34e0, - 0x3260_4273_2097_b4f3, - 0x2d95_5d56_8f05_4ae3, - 0x2094_83e1_a0b0_a837, - ]), - pallas::Base::from_raw([ - 0x7432_cb32_c68b_2165, - 0x7bd9_2165_7fb0_2d3f, - 0x0f8e_cd9e_6143_ed8a, - 0x1e80_5fa9_b94a_ec49, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5113_896c_8344_ca04, - 0x3ef8_8140_14dc_b062, - 0x4412_402a_64e3_8636, - 0x2ca2_c0ca_7fdf_3aab, - ]), - pallas::Base::from_raw([ - 0xaed4_11b6_dd39_334e, - 0xacbf_64e8_3c88_59f5, - 0xc68a_900f_bbf1_8b0f, - 0x35c2_a197_59b7_ad1c, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3d3e_18af_68d8_62fa, - 0xe3d5_0649_7f05_6b13, - 0x4e45_faad_be7b_7fd3, - 0x1859_da3e_20cd_e957, - 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0x8e9f_fe18_293c_5856, - 0x257e_cda9_99c3_d0cf, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8313_e47e_aa56_0f12, - 0xa288_d1ce_19d0_c1ce, - 0x0de7_47c8_24b5_d9ce, - 0x1ef9_17f6_6050_f9b8, - ]), - pallas::Base::from_raw([ - 0x51b3_c417_aae3_d512, - 0x308c_26cb_3ef9_b520, - 0x9e24_fee2_0510_c124, - 0x10c4_5920_4a45_09fa, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5354_70f6_26b1_1d0b, - 0x366e_2b98_c3f8_51b4, - 0xc02a_1aef_b019_705e, - 0x0ef2_f878_dec4_3a29, - ]), - pallas::Base::from_raw([ - 0xbbe1_eafd_c8f8_d6fb, - 0xba82_354a_c062_0fc1, - 0x4984_289a_d39b_917c, - 0x32b0_046e_bbd5_1e14, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe5af_e709_3216_cf73, - 0xce7c_ea62_2592_e580, - 0x073b_be3d_9d7b_463d, - 0x0205_976f_e9c1_b9d7, - ]), - pallas::Base::from_raw([ - 0x1eef_2946_b9ab_16dc, - 0x5513_ea0e_5cab_a5c4, - 0x0174_f38f_88f9_1425, - 0x16b7_f6c6_6548_4de9, - ]), - ), - ( - pallas::Base::from_raw([ - 0x07cb_2e9c_7762_5c85, - 0x33f6_d324_7351_1aec, - 0xf7f0_ac0e_f1f1_e7ae, - 0x3e3f_c594_4e97_90ef, - 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0xd5e1_cfea_a531_971d, - 0x049f_733f_9545_e7b0, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0730_f7ca_1dba_2634, - 0x229c_c86c_ac49_a95d, - 0x299f_5487_67f0_5bff, - 0x1ff0_6c6f_bbc9_7265, - ]), - pallas::Base::from_raw([ - 0x42d4_85b3_c343_fb9e, - 0xa6a0_b509_d7f4_32ed, - 0xea60_7525_3e54_c341, - 0x2c00_143d_8e9b_261e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8fda_58ae_2efc_f247, - 0xee35_0022_54f7_e10e, - 0x736e_f067_a1d8_6854, - 0x171b_73f6_f381_7bdb, - ]), - pallas::Base::from_raw([ - 0xc34f_b482_2878_1165, - 0xf1a5_16af_a161_fc8f, - 0x98c7_8cbd_6d9f_f721, - 0x3b38_7dd3_b99f_11c1, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf52c_8ddc_ff5b_01c2, - 0x523d_70df_bd93_ca28, - 0x9c29_d3a5_c4c1_3774, - 0x31cd_fecb_38de_73c3, - ]), - pallas::Base::from_raw([ - 0xc68c_3f28_26b1_9cb8, - 0xfa8b_7593_0610_fe60, - 0xdef2_d495_2f51_9984, - 0x2221_6cb6_ddad_b185, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6bed_8edf_f3c0_d24e, - 0x99ef_37b9_cdba_a0d4, - 0xaf57_7449_65fd_54db, - 0x2704_ec4e_2419_ca44, - 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0x8806_08c5_d89f_9255, - 0x2de3_b3e1_6dc1_2b33, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0c96_2934_58ec_b2cb, - 0x0d7d_864d_7d1e_560e, - 0xec28_d3a6_3cdd_c555, - 0x0de0_eb00_0263_741a, - ]), - pallas::Base::from_raw([ - 0x1cc8_207d_937b_6f0e, - 0x9797_e7ee_dc7e_c8c6, - 0x2286_088a_e441_e77a, - 0x242f_4811_c54f_c5a4, - ]), - ), - ( - pallas::Base::from_raw([ - 0x02e6_08b8_b421_3091, - 0x04f9_d82c_26af_83fb, - 0x4d9c_e544_ba2f_2525, - 0x3f8e_e248_4851_a53b, - ]), - pallas::Base::from_raw([ - 0x9dac_0a3c_f93d_2ab4, - 0x7ed7_5569_f31b_ed67, - 0xb530_b73f_14e7_8731, - 0x320a_6858_c7ef_b1d8, - ]), - ), - ( - pallas::Base::from_raw([ - 0xf1c7_9c73_c18c_5bef, - 0xb4dc_fb27_be5d_af33, - 0x00fb_3437_a413_9ab8, - 0x27a9_6926_feb8_4658, - ]), - pallas::Base::from_raw([ - 0xf94f_9504_a805_5901, - 0xd816_70b5_5f8c_c186, - 0xd80a_41c9_3fca_d44c, - 0x35fb_6dfa_6996_faf9, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbad4_1cc8_8afd_dd08, - 0x49d2_bda3_3181_eb27, - 0x6bd9_a42e_e764_f287, - 0x1bf9_7fbc_aad6_3dd3, - 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]), - pallas::Base::from_raw([ - 0xf7b0_a409_9047_5ffc, - 0xf227_8b45_596c_d47f, - 0x8e89_3c33_0061_9b20, - 0x1e9a_0a12_9951_b344, - ]), - ), - ( - pallas::Base::from_raw([ - 0x273e_1d1d_25f4_def7, - 0x2003_845a_3171_beb1, - 0x6d17_8165_5f29_f2d4, - 0x0870_5e7f_5d5b_29c0, - ]), - pallas::Base::from_raw([ - 0x5593_5829_fa5d_7cff, - 0xf32a_41cd_f789_5d7e, - 0x1bf2_ea43_d1a2_e73d, - 0x020f_bf08_0453_d654, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc7cc_99c7_2db8_9a13, - 0xe869_f872_1a3e_457f, - 0xf8d5_9b75_f9e9_5e27, - 0x2a3c_dfb9_b0ec_7221, - ]), - pallas::Base::from_raw([ - 0xda92_9b87_c8b3_43ae, - 0xb33c_22e3_1aca_23f0, - 0x7ef6_c020_43d5_029b, - 0x0f16_75e5_fb1b_6016, - ]), - ), - ( - pallas::Base::from_raw([ - 0xdaa7_c49c_581e_a8f5, - 0x5e24_60df_0bf6_68a4, - 0x04e2_ec29_9caf_6146, - 0x2438_e7ee_c6b6_6289, - ]), - pallas::Base::from_raw([ - 0xd94c_c550_0990_5ce3, - 0x9149_39c9_7c98_acbb, - 0x90d6_a0d5_e69d_004f, - 0x0e30_9799_430a_005e, - ]), - ), - ( - pallas::Base::from_raw([ - 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0x4d02_2a9e_1cfd_6d33, - 0x1f3c_e37d_51aa_b4c1, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd2e8_277a_9787_ad9b, - 0x06b8_ef87_3d81_def3, - 0xcb3f_a058_0cdc_9294, - 0x3e0e_b866_b610_dad5, - ]), - pallas::Base::from_raw([ - 0x416f_988d_290b_fce1, - 0xe99d_9c46_9eea_a7fc, - 0xe826_d37c_968c_f31a, - 0x303a_5065_2996_bc3e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x970d_c43d_b7f9_6596, - 0x8bbe_a004_7bbe_b37a, - 0xffbf_c07c_4f86_ff20, - 0x2eb0_e870_2a5b_817b, - ]), - pallas::Base::from_raw([ - 0xcdec_df92_c73a_cf15, - 0xa349_b8f4_4bc1_1a4b, - 0x4ca2_5c82_1a35_0486, - 0x0c35_a8ee_8f63_ce4e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3330_feff_82c5_909d, - 0xa037_ccf5_1576_8f65, - 0x04b4_e5bf_d165_ab7e, - 0x3d8f_d30d_2e98_701f, - ]), - pallas::Base::from_raw([ - 0x76cf_354c_613f_6916, - 0xb3ac_8cfc_ef68_b8e4, - 0x121e_23ec_fb6d_3348, - 0x049c_4676_6965_007e, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd28b_5af8_208a_ad16, - 0x85cc_0c01_2522_9ec1, - 0x0010_00b7_fcba_b744, - 0x2f16_3cb5_e159_50da, - 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0x410c_df5f_93a9_6258, - 0x3588_8b68_24c6_e8a0, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5dc2_2a72_4a62_d492, - 0x2660_9b2b_a750_8d8c, - 0x5059_5ae6_1b53_8471, - 0x266a_34b1_9765_cdff, - ]), - pallas::Base::from_raw([ - 0x7fbe_5bdb_d358_a2cb, - 0x40a4_f7fd_1ca8_a76a, - 0x491d_3273_a50e_004a, - 0x3568_0e4a_dc4f_62ad, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbfdb_990c_f977_fd4e, - 0x6437_369d_ca6d_cc9e, - 0xc7b5_d048_b550_51ee, - 0x250b_73ec_71d5_4645, - ]), - pallas::Base::from_raw([ - 0x41ae_e46b_4412_b381, - 0x9e9e_e500_6ddc_61fb, - 0xec2f_6df5_bbce_cf94, - 0x1793_e215_0b16_603d, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6f88_6d79_770c_6247, - 0x1500_0374_0fa1_e182, - 0xf376_03b2_1769_2f82, - 0x3d1f_7368_0af5_b7ec, - ]), - pallas::Base::from_raw([ - 0x81b6_a75a_e4f9_729e, - 0xe735_aeaa_341f_ae17, - 0x4eff_b7c5_e1aa_bb0a, - 0x0223_c1d4_4c5d_c34a, - ]), - ), - ( - pallas::Base::from_raw([ - 0x419d_f14d_7945_7532, - 0xd780_283f_4e02_c512, - 0xf0fc_47a1_756c_c536, - 0x1ce3_0702_a06b_ed82, - 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0xb49b_ffe3_9a97_dd6b, - 0x073c_ef7a_eab5_e67c, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbb8c_2ebd_02ef_5c02, - 0x9f3e_fb6b_a8a3_d5e7, - 0xdd5e_afd6_8224_7afd, - 0x0a4d_0696_34c2_1d49, - ]), - pallas::Base::from_raw([ - 0xde8b_2693_7445_2117, - 0x8827_3e13_9ac8_9175, - 0xaf4d_3f11_60fa_ce22, - 0x372e_f7de_420c_f5b0, - ]), - ), - ( - pallas::Base::from_raw([ - 0x007a_3171_e694_ad4f, - 0x0b63_7d43_b499_6483, - 0x3f41_d9a4_71d9_e31e, - 0x2304_4159_f767_5fe2, - ]), - pallas::Base::from_raw([ - 0xc689_d9d9_98f0_22c3, - 0x3843_04a4_96ef_f3ea, - 0xcdf7_07fb_a786_9698, - 0x00ff_aa52_52f3_1075, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc7ed_5950_3bbd_ae0c, - 0x0771_0a4e_f363_a8cf, - 0xb854_a41d_2524_2222, - 0x361c_d998_8c71_f7d1, - ]), - pallas::Base::from_raw([ - 0xd1c3_f5a8_e31d_e85e, - 0x61f9_1fe1_a2ed_72f5, - 0xd02a_3047_b442_7a6b, - 0x28a9_2ac8_140a_7f61, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe69b_8ff5_68db_09ef, - 0xa955_a884_45b6_1b1d, - 0x0181_0ff8_0bc0_0a37, - 0x3f77_7487_2da1_b634, - 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0x4b07_d6dd_a718_dc3c, - 0x046e_e6b1_16a4_d680, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8827_884a_0d84_93fb, - 0xb641_d4be_17e5_2a25, - 0xd1bb_d65e_ca13_f1e5, - 0x14e6_8375_9dbd_f9b7, - ]), - pallas::Base::from_raw([ - 0xc5bc_27f2_043e_09d6, - 0x4383_1bd8_740d_18bc, - 0x4d28_b951_db51_646c, - 0x2ff2_925c_ae35_4106, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd2ab_b8ea_a809_c065, - 0xa526_4c4f_d558_42f7, - 0x36bd_6833_52ed_686a, - 0x3e03_a120_a2d9_028e, - ]), - pallas::Base::from_raw([ - 0xadcd_15a2_2b64_bcff, - 0x8b41_fbcf_fa41_1d4e, - 0x6275_e729_aac4_1718, - 0x05f4_d1dd_a528_76ca, - ]), - ), - ( - pallas::Base::from_raw([ - 0x259f_45df_db18_4292, - 0x85a3_9f21_bd27_88a2, - 0x7741_d050_9d2b_a469, - 0x3628_e48a_fad3_7caf, - ]), - pallas::Base::from_raw([ - 0xf38c_a509_52c2_edd4, - 0xdbc8_3dce_fa5d_964f, - 0x67e5_1358_704a_dc0d, - 0x2dd7_037f_7772_b72a, - ]), - ), - ( - pallas::Base::from_raw([ - 0xde93_38bd_92bb_3d57, - 0x944b_7238_c860_9441, - 0xe03d_5bc0_6ceb_4255, - 0x2889_0bf6_1603_be43, - 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0xec32_f124_f67c_b6a6, - 0xe76f_c0a9_bb04_6fc7, - 0x08c9_2fb9_a869_9d4b, - 0x0aa4_f0ca_3613_1f19, - ]), - pallas::Base::from_raw([ - 0xc77a_383a_f5f9_298c, - 0x6c2a_0c57_8f61_7a6a, - 0xa8fb_83f4_8769_5723, - 0x0dac_9338_2fb1_7d74, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa4ae_ed26_9bd7_f7af, - 0xcf45_5590_be79_8165, - 0xbb66_a5c2_ca07_ba02, - 0x2f71_97fb_33e0_2f3b, - ]), - pallas::Base::from_raw([ - 0xc6f5_fa79_26dc_55ff, - 0xb1d7_1d00_792c_b875, - 0x4300_1b82_b34b_fc81, - 0x2585_89f9_249d_35ff, - ]), - ), - ( - pallas::Base::from_raw([ - 0xca86_6954_84ea_c326, - 0x64d8_b454_7605_528f, - 0x47a1_1398_f1c8_6914, - 0x0626_f333_6694_8b96, - ]), - pallas::Base::from_raw([ - 0xcb9a_c695_8cdf_ac1a, - 0x51a2_395d_f28c_5a56, - 0x2982_997a_0143_8762, - 0x20a0_3634_e587_cdea, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4a22_3815_ad6a_af87, - 0xb23d_c239_fe51_f114, - 0xe744_6fbc_1d76_71f9, - 0x008f_b3c4_f277_6241, - ]), - pallas::Base::from_raw([ - 0xef35_ffbc_38cf_2be1, - 0x6406_1067_6e4b_152a, - 0xcd39_1b65_f743_55ca, - 0x33a9_ac54_8faa_2dc4, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb43e_6160_16b7_ac1a, - 0x2d17_45fa_33dd_dbbe, - 0xfcf2_c7dc_158c_b996, - 0x222d_d6b4_22f5_41da, - ]), - pallas::Base::from_raw([ - 0xd15f_8eb6_6b9a_1971, - 0x735e_b437_8b76_de8c, - 0x7a9e_fd09_e21c_cb2f, - 0x2605_6891_36d0_47e3, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa728_670e_b27d_0c27, - 0x0ffa_859b_d86e_09f4, - 0xfc12_1ddd_5bca_1d3e, - 0x3ed5_f5ac_9270_3915, - ]), - pallas::Base::from_raw([ - 0x2d66_ad9c_f3b0_9eb5, - 0x0f76_4a1b_3975_493f, - 0x311c_7d39_de6c_80e4, - 0x10c5_a910_538e_2161, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd8ef_2e55_08fe_449e, - 0x9795_f0b4_9b38_21dc, - 0x436d_3359_1956_ff92, - 0x2ef0_c2a1_ff67_562f, - ]), - pallas::Base::from_raw([ - 0xea61_5ac0_2396_252c, - 0xd3c3_e572_248f_f4ec, - 0x0891_5193_35ef_15f8, - 0x0e0b_7ddf_c509_d053, - ]), - ), - ( - pallas::Base::from_raw([ - 0x595f_7475_529b_3ad1, - 0xc202_93a2_e114_ef1a, - 0xa318_7931_4b87_03f2, - 0x25b5_defe_56df_8131, - 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0x1881_58c9_d4f8_37b3, - 0x35e1_f53a_12ea_d4bf, - 0x43b0_1080_7105_9672, - 0x12a1_bb18_f6ae_aff4, - ]), - pallas::Base::from_raw([ - 0xd0c9_3a8c_6405_aeff, - 0x7c79_db4b_21ed_b868, - 0xfe64_ab4d_3285_580d, - 0x21f2_6e9b_4e96_4ad6, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5ead_7427_d8bc_93be, - 0x1074_df9b_a240_dc10, - 0x5e02_f458_b883_e475, - 0x1658_9488_1a71_48ba, - ]), - pallas::Base::from_raw([ - 0xcf20_d6a3_30b6_e493, - 0xc050_fc5b_3e2a_b5ca, - 0xcad1_ca64_521c_4b4d, - 0x2d9b_99eb_4fa9_4da9, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbf05_9e52_20ab_1fc0, - 0x8a7d_612b_8a1e_0e3a, - 0xeade_4244_f4cd_b38c, - 0x3331_7f8e_8124_54f2, - ]), - pallas::Base::from_raw([ - 0xc888_9b91_0593_4c5e, - 0xe569_c70e_0a7c_97f6, - 0x44d5_b9c8_f891_48f4, - 0x2312_5a5b_68f5_c72f, - ]), - ), - ( - pallas::Base::from_raw([ - 0x94e4_bf9b_f2a6_1428, - 0xa590_5768_df89_f310, - 0x5f26_eac4_e6d7_bf48, - 0x1777_8461_3a31_42ef, - ]), - pallas::Base::from_raw([ - 0xd4c5_a93d_01a9_e944, - 0x00f3_0bb3_f382_1ab4, - 0x3e30_b05e_9001_115c, - 0x13aa_867d_0d62_d501, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0d77_6ee6_83d5_6884, - 0xc690_3133_0cb0_7fad, - 0x03f9_fa71_d83c_b6ac, - 0x385b_2c3f_69f2_2e4e, - ]), - pallas::Base::from_raw([ - 0xe52a_da77_f926_479c, - 0x4032_18dd_a3f9_f7d5, - 0x698a_ca67_0fe0_3b63, - 0x1be6_e46f_45a9_0d73, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb54f_2488_b34c_23f3, - 0x20f7_4d0f_dcf3_556c, - 0xb629_c46b_87ca_5183, - 0x3e05_1b07_97e5_4d7d, - ]), - pallas::Base::from_raw([ - 0x2845_df6b_a7f4_c4a9, - 0x01d8_7bb3_efc5_3212, - 0x7438_846f_f0c3_68eb, - 0x054c_4ccd_9568_783e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0e03_2b41_edf2_601e, - 0xca56_6380_2656_a1ab, - 0xa9c1_73f4_5b36_4aba, - 0x370b_f6a4_76fe_98c7, - ]), - pallas::Base::from_raw([ - 0xe83a_b9c8_7073_23c8, - 0x68cb_12fc_922c_e463, - 0x1d58_cba7_aae2_cd1d, - 0x1641_dcbe_d773_85ac, - ]), - ), - ( - pallas::Base::from_raw([ - 0x33d9_50b2_0786_8cb1, - 0x5546_4d24_79b0_1881, - 0xcef8_ae63_70b3_e7cf, - 0x1edd_0d6f_5654_df9f, - ]), - pallas::Base::from_raw([ - 0xca19_5fd2_3bf8_6d7d, - 0xd888_778b_481d_0c87, - 0x7718_4cb6_9a9c_a004, - 0x18cd_8422_c539_1785, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd3d0_061d_3c40_38a9, - 0x35d2_ba6f_b33a_337d, - 0x2b5a_ccd0_a048_8c8c, - 0x3177_51f9_70f0_55c8, - ]), - pallas::Base::from_raw([ - 0x7da0_2d46_e5dc_cf44, - 0x1948_7204_00fd_ac87, - 0xd35d_2f05_7952_09ed, - 0x067b_66e4_8fd4_40ae, - ]), - ), - ( - pallas::Base::from_raw([ - 0xbe67_f5c1_c53b_6219, - 0x0c4d_d3eb_49dc_5141, - 0x1985_6e06_c83d_dc72, - 0x0580_4e34_6c60_f39d, - ]), - pallas::Base::from_raw([ - 0xd970_b5f8_e84e_2eca, - 0x8dee_bae7_6faa_0b0a, - 0xce36_460d_4c75_cfdd, - 0x0c0b_30a8_4eb6_c2ff, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd211_b3b4_85da_f337, - 0x7caf_c1c9_d176_8b9b, - 0x4f29_6d08_6aa0_6691, - 0x1469_1756_396e_e450, - ]), - pallas::Base::from_raw([ - 0x908c_5ebe_6cb7_9318, - 0x485e_123c_8a7a_1993, - 0xba9c_8297_dc30_544d, - 0x0b1b_b3c8_67ad_579f, - ]), - ), - ( - pallas::Base::from_raw([ - 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0x49f8_808f_b1f8_2460, - 0x26df_2492_c732_e56c, - ]), - ), - ( - pallas::Base::from_raw([ - 0xcc02_e14a_ed10_15df, - 0x7ab2_e6da_6148_1b32, - 0xf1b8_ccf5_7959_7c1f, - 0x1f39_1c76_d2a5_87d4, - ]), - pallas::Base::from_raw([ - 0x6161_8e3c_c900_c078, - 0x8051_d2da_5db8_ca06, - 0xf00c_bba6_4a81_7e59, - 0x0212_f279_9961_28a4, - ]), - ), - ( - pallas::Base::from_raw([ - 0xba12_bea4_1ed1_352d, - 0xc72a_1238_3074_4e06, - 0x774b_4680_7bce_521e, - 0x1b55_f307_4483_1944, - ]), - pallas::Base::from_raw([ - 0x4339_05b5_7199_f756, - 0x5018_a2d2_8374_18cd, - 0xc369_3735_482c_e33f, - 0x06d1_33c4_e935_ed22, - ]), - ), - ( - pallas::Base::from_raw([ - 0x17d2_e055_42f8_9a6b, - 0x63c4_572c_834a_9911, - 0x7c98_197d_30e9_06b9, - 0x1bb8_0e9c_7b1c_a773, - ]), - pallas::Base::from_raw([ - 0x757f_5677_f5dd_82dd, - 0x6030_5392_57bb_182b, - 0x22e8_e711_493b_46f2, - 0x2462_9d6c_1107_6339, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc227_0007_0d48_67fa, - 0x5a14_a6ed_8e5a_164c, - 0xf31b_979b_e4fa_a4dc, - 0x2260_9c32_ae8a_2fe1, - 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0xd82e_903f_c00f_3f8b, - 0x20b2_7ae6_263f_b41a, - ]), - ), - ( - pallas::Base::from_raw([ - 0xef97_ec2a_52ec_aaab, - 0x6456_0e73_b84c_0532, - 0xf42e_0f1e_2164_9dbc, - 0x362d_769b_3e3b_429b, - ]), - pallas::Base::from_raw([ - 0xa849_45d4_8229_07c7, - 0x8319_319a_9dfd_eb24, - 0x1b53_33bd_832f_9d47, - 0x1a8d_4605_440e_14eb, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2cfe_f055_520e_c484, - 0xd39b_1ad9_5e10_8589, - 0x1aaf_3ba7_8102_4b08, - 0x39c3_c628_22fe_6009, - ]), - pallas::Base::from_raw([ - 0x45f8_894e_2232_67ac, - 0x4296_0ed4_94f2_d879, - 0x91c3_5975_0a2e_a628, - 0x0055_3f58_2ea2_b9d8, - ]), - ), - ( - pallas::Base::from_raw([ - 0x9dd7_97f4_738d_a24c, - 0x2759_7dca_3390_3158, - 0x2569_cf2d_55e1_3988, - 0x3a35_4403_855a_ecc7, - ]), - pallas::Base::from_raw([ - 0x8cd4_53df_2421_8d58, - 0x3eb8_606a_39df_7bba, - 0xe1b6_b3cd_016d_2c04, - 0x2ac0_1e01_122f_2859, - ]), - ), - ( - pallas::Base::from_raw([ - 0x05ee_bec3_ee74_bbef, - 0x9235_beb6_d261_7620, - 0xbe1b_e89b_c34f_92fd, - 0x3e52_f01c_752c_b88b, - 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0x7e2e_531d_048b_6ae2, - 0x1796_bb64_46b9_0567, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6b90_eb45_561d_04dc, - 0xe743_9460_131c_ae9a, - 0x2735_4e72_d3b1_3274, - 0x181b_8996_1ce6_dbf2, - ]), - pallas::Base::from_raw([ - 0x4393_a574_6e7d_ebcb, - 0x17b9_57b0_374b_7321, - 0xf48f_1499_0aeb_f4ff, - 0x2af0_a0cc_80d8_ad59, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8a86_d29c_9a81_c5a9, - 0x2393_6d2f_411a_1f97, - 0x50f6_242a_40fa_9525, - 0x05b0_faf1_c315_0a4b, - ]), - pallas::Base::from_raw([ - 0xc70c_9a93_ab83_1c95, - 0x6ed2_9ae9_ceea_efb1, - 0xc7fe_68b2_22e1_cf03, - 0x381d_cfd0_1918_44b4, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7d5a_3127_5dbe_b7d9, - 0x79e0_3de5_25ce_dab6, - 0x935a_02dc_9fdc_eab4, - 0x2b4d_4719_7811_4448, - ]), - pallas::Base::from_raw([ - 0x7673_78df_e2fe_1eb2, - 0xbe91_9301_c9aa_5f18, - 0x60ee_48c0_4796_a28e, - 0x2f24_3e8c_7b7f_4693, - ]), - ), - ( - pallas::Base::from_raw([ - 0x58ac_fcec_3b6a_6302, - 0x778c_ceb2_8a49_ffb4, - 0x8c28_f55d_2771_8a04, - 0x3c4e_cb86_6f24_7db3, - 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0x314d_d52e_0919_736c, - 0xf554_b5ea_55e9_39ff, - 0x7775_a5d8_d07f_9f27, - 0x18b9_43fb_57be_afd4, - ]), - pallas::Base::from_raw([ - 0xf563_1374_8745_63e7, - 0xbd1c_a9d6_622e_8cd2, - 0xd060_6006_611b_cc4e, - 0x360d_025e_38f6_02a0, - ]), - ), - ( - pallas::Base::from_raw([ - 0x399e_2e74_4e2d_d3b9, - 0x43e3_74f8_8b83_0cba, - 0x4289_a1c4_48cd_f4e0, - 0x196d_f315_b594_9716, - ]), - pallas::Base::from_raw([ - 0xc288_6cd6_673f_4deb, - 0x21f2_2728_b89f_4ed3, - 0x3439_6d66_d9a9_48fe, - 0x1089_5fb4_40fe_bb75, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4316_a351_fc82_dd4a, - 0xc959_7950_4cfc_ed50, - 0x7273_943a_84cf_d15e, - 0x15aa_aa6c_c1b9_6ac1, - ]), - pallas::Base::from_raw([ - 0x1b99_d676_512b_796d, - 0xce39_dff1_cba5_dbbb, - 0x421d_4fa7_1462_6d44, - 0x34ad_9d2a_dfaf_5b69, - ]), - ), - ( - pallas::Base::from_raw([ - 0x49ad_a6d1_104a_6eef, - 0xcf8b_024f_cfb5_b7cf, - 0x840c_cc9d_3a3b_cc91, - 0x29b9_5744_64e1_ddfc, - ]), - pallas::Base::from_raw([ - 0x0b87_716a_708c_c280, - 0xf93d_800f_6f21_4435, - 0x1d51_3c67_2d6a_83ff, - 0x0ae6_d491_c1bd_f3bc, - ]), - ), - ( - pallas::Base::from_raw([ - 0x475e_41b0_f1fc_c172, - 0x09b7_1408_69c4_0bb0, - 0xc7ed_2eaa_6b58_0c14, - 0x1d5a_ddce_4556_7eae, - ]), - pallas::Base::from_raw([ - 0xb805_a989_ed0a_19a9, - 0x18f0_a092_4a48_ce6a, - 0x377c_c390_6667_48ba, - 0x0101_7bec_5e9b_8784, - ]), - ), - ( - pallas::Base::from_raw([ - 0xc424_869d_df4a_4fd1, - 0xcb89_e9c6_1506_8e77, - 0x6573_5f9d_0d64_ad1e, - 0x1a16_1910_f3ef_d2a8, - ]), - pallas::Base::from_raw([ - 0x1c2a_ec44_2e96_e2b9, - 0xe5e2_6cbb_e793_3cd1, - 0x4152_f5a5_afcf_0b33, - 0x18bd_33f6_2cd7_afc2, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6cef_2ed4_0f12_62a3, - 0x629f_be6a_9a08_13b6, - 0xe188_e97a_fd70_5e9a, - 0x1c81_abae_085e_bbdd, - ]), - pallas::Base::from_raw([ - 0x6b64_e32d_d83d_14cc, - 0x051c_e812_b7d3_8e72, - 0x7c9c_e5ff_9dab_955d, - 0x2c11_dcb2_7ed5_553a, - ]), - ), - ( - pallas::Base::from_raw([ - 0xa486_1053_6543_7c5c, - 0xbaef_3528_5949_99b5, - 0x6ebc_2d21_8bd5_7856, - 0x1194_f3a8_8f8d_20d8, - 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0xf46c_d397_277b_f15b, - 0x0e42_e600_a788_4e1e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x42d7_c6e8_1a54_7d39, - 0xb171_695f_50a8_bd62, - 0xfe87_5f93_5739_16ba, - 0x2b7b_81a1_9e1a_f147, - ]), - pallas::Base::from_raw([ - 0x5479_f6bc_eb58_7cf0, - 0x55a1_827c_f39e_06ab, - 0x2a9c_0fc4_d3e9_aaae, - 0x1934_b567_9c19_e682, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe18f_eb78_018f_21fb, - 0xcfa5_4075_0fa5_0007, - 0x05e3_f7d5_9d0f_5e8b, - 0x2cc9_4cc1_fe1a_3754, - ]), - pallas::Base::from_raw([ - 0xc2d2_f324_8b4c_ae1c, - 0x447f_7745_c5a9_dedd, - 0x3c21_26cb_32f6_9c68, - 0x08d2_cff6_fba5_5d5b, - ]), - ), - ( - pallas::Base::from_raw([ - 0xb5d8_5390_444c_c212, - 0xe08f_cf9d_bef6_3c10, - 0xe6cc_866a_fb3c_80e3, - 0x1973_ffe7_d02f_0fa4, - ]), - pallas::Base::from_raw([ - 0x433d_1974_b639_e380, - 0x10e3_a8f5_d79c_3bb2, - 0xc48b_7633_c798_f597, - 0x2b49_6a88_af43_e434, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6be3_5a9e_4646_9b0a, - 0x21fe_d657_d107_f630, - 0x99d3_0abd_ab7b_8d62, - 0x3509_1866_4a0e_e32f, - 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0xd7a2_306f_08c8_bcc4, - 0x14f0_fcd5_0316_e459, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8f32_c8f3_5b64_6f4e, - 0x21aa_08fc_88eb_4def, - 0x2801_597f_de58_9a34, - 0x3a30_a417_2ad6_0466, - ]), - pallas::Base::from_raw([ - 0x7d06_9540_e011_19ee, - 0xc967_557c_731b_7356, - 0xda5a_4c02_83a4_2f1d, - 0x3d3a_57fb_c972_c1e0, - ]), - ), - ( - pallas::Base::from_raw([ - 0xd3c1_f6cc_c3e0_2a53, - 0x0547_5fdc_7ec7_1268, - 0xf000_9637_f19f_5b9d, - 0x30ff_defd_ca48_bd81, - ]), - pallas::Base::from_raw([ - 0x91ae_9409_8215_c29a, - 0x6132_5ed0_20eb_03f6, - 0x7902_c795_04be_18dc, - 0x2fd2_0d09_cb6b_ffe2, - ]), - ), - ( - pallas::Base::from_raw([ - 0x1a31_a60b_d542_73dc, - 0xdb7f_1cc7_04b6_b150, - 0x1861_c054_0121_d013, - 0x206c_c173_9153_a5a3, - ]), - pallas::Base::from_raw([ - 0xe0e9_cb82_5775_fbd5, - 0x4376_49cc_7524_f7df, - 0x7bd2_080e_2134_cd15, - 0x31f0_de88_e2da_7e71, - ]), - ), - ( - pallas::Base::from_raw([ - 0xfc72_8173_780b_d7a5, - 0x7aef_d664_bcbf_065b, - 0xb00b_a3b7_0b2c_e355, - 0x3699_84a7_28c9_f5db, - 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0x71e3_e8e2_2feb_ec64, - 0x08a9_eaf7_b5a5_39fc, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5e06_c2b1_b31b_93b4, - 0xc313_a37c_4320_dc75, - 0x7efc_a295_2612_6f7b, - 0x0aff_f83d_40bf_1741, - ]), - pallas::Base::from_raw([ - 0xc7cb_8f4c_fdc8_1d4b, - 0x5a50_fd94_f40c_8457, - 0x71d6_4791_1e74_f12b, - 0x1541_6661_ee80_7c70, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2802_c3f2_89e9_5d61, - 0xf33c_77fb_6c07_ea84, - 0xbbc9_320f_0df4_143a, - 0x356c_a3df_9cc0_4f80, - ]), - pallas::Base::from_raw([ - 0x4f45_fa2b_9fd8_1daa, - 0x7f47_5e59_7199_616e, - 0x7d3b_df29_ce4e_dfb5, - 0x1dae_8d6b_f927_1f87, - ]), - ), - ( - pallas::Base::from_raw([ - 0x473f_87de_7e94_192f, - 0xd393_9d88_1211_44b0, - 0x963b_e798_1010_c5ea, - 0x17ef_3597_df23_de2e, - ]), - pallas::Base::from_raw([ - 0x1e95_8dac_55e3_db76, - 0x12d2_c681_d82e_ed9c, - 0xd3d5_1684_1d5e_e0cf, - 0x0ac9_26dd_9cea_3447, - ]), - ), - ( - pallas::Base::from_raw([ - 0x6858_89c4_1505_8b08, - 0x6db7_b0e4_db13_97af, - 0x5b80_1548_f65c_a777, - 0x0bc7_e844_145e_084b, - 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0x0e48_3cee_96b6_3430, - 0x310a_f969_9f04_356b, - ]), - ), - ( - pallas::Base::from_raw([ - 0x49d9_568f_4b49_90b2, - 0xff1d_52e9_6c43_0eed, - 0x9dab_c67e_0ab6_7fbc, - 0x15b8_acf0_dafc_6bd0, - ]), - pallas::Base::from_raw([ - 0x04db_2abc_c8af_ebe1, - 0x858a_4302_b8ed_aede, - 0x857e_f9df_9683_371a, - 0x0ed5_6792_c5bc_56a9, - ]), - ), - ( - pallas::Base::from_raw([ - 0x8fc8_c4bb_97be_29b8, - 0x723f_ec3a_c6fd_9388, - 0xcc18_5b44_14ce_3800, - 0x1903_31a9_ed7c_af8c, - ]), - pallas::Base::from_raw([ - 0x6e48_8eb0_820c_1768, - 0x7fcb_5d2c_98f1_ca49, - 0x32c6_8966_238e_4125, - 0x06ca_d05e_b165_eacc, - ]), - ), - ( - pallas::Base::from_raw([ - 0x05d6_73c0_9942_4c38, - 0x9b1c_e944_65d8_d36c, - 0x4192_c0f4_f365_0b99, - 0x3383_b385_084d_b871, - ]), - pallas::Base::from_raw([ - 0x41a3_b162_abb4_42dc, - 0x017f_86b0_2583_46ed, - 0x458e_9783_e3ed_a2b5, - 0x083e_e1cb_29d3_6b81, - ]), - ), - ( - pallas::Base::from_raw([ - 0xe476_9543_7977_767d, - 0xed9c_7b2a_f66c_175f, - 0xb833_a588_5741_cd5e, - 0x363d_b7fb_cd58_d72c, - 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0xc7b4_860c_a4fd_0f1a, - 0x3fb3_5b5c_9ff2_ce92, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3eb4_cbe9_57c3_215d, - 0xe3bb_1c30_aa5a_2018, - 0x6829_f364_04df_ce6a, - 0x1e4c_9bb8_5e77_3502, - ]), - pallas::Base::from_raw([ - 0xf927_5406_c35a_b692, - 0xedb3_cacf_43f8_d2eb, - 0x5b04_6f41_e82f_fa8d, - 0x16c2_b490_1be1_772e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x91f2_5bb0_0df3_b325, - 0x9fa2_042e_bf14_310e, - 0x440d_8c06_8bb1_5a05, - 0x000a_e05a_1117_51b6, - ]), - pallas::Base::from_raw([ - 0x71a9_f252_e8dc_96fc, - 0x93e9_0e94_a948_47fc, - 0x35bd_756d_82e4_6522, - 0x0dd4_182d_0922_90ad, - ]), - ), - ( - pallas::Base::from_raw([ - 0xac7d_898a_152e_395a, - 0x893e_8851_1ab3_33da, - 0xf069_82b1_791e_1812, - 0x1fb6_f3c4_cf65_d002, - ]), - pallas::Base::from_raw([ - 0x65c5_e104_bca2_bc38, - 0xcd1b_883c_113f_a262, - 0x96bc_af49_58ae_d45e, - 0x3c4c_e7d2_6eb9_a372, - ]), - ), - ( - pallas::Base::from_raw([ - 0x867f_b40f_ed90_02ea, - 0x40a5_041b_7cba_a776, - 0xc206_37a4_c7c4_ac98, - 0x2570_9da2_0e46_8fbe, - 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0x86c3_b612_1d8d_3fa4, - 0x4914_c783_0ca4_f15f, - 0x04ea_4fe6_f986_a7ec, - 0x2026_f468_4a50_7b0c, - ]), - pallas::Base::from_raw([ - 0x435e_50f3_7974_66eb, - 0x8b5c_73b6_b70e_0033, - 0x7ed9_4ab6_144a_18bf, - 0x2b10_91f0_ffa9_d775, - ]), - ), - ( - pallas::Base::from_raw([ - 0x7335_a5d6_15f2_85a5, - 0x65e3_ce55_379a_4653, - 0xc59c_ed4a_cc76_2af0, - 0x0429_7a2c_6046_7f76, - ]), - pallas::Base::from_raw([ - 0x38f3_ec3f_0286_6257, - 0x1e13_f010_a49e_a5c0, - 0xdaf1_e8bb_06ca_2eec, - 0x329d_3ddb_9b5a_922d, - ]), - ), - ( - pallas::Base::from_raw([ - 0x400a_e7f0_113b_1b88, - 0x6505_dd5a_729f_0ed9, - 0xf46d_81a6_8261_b4c8, - 0x2450_8490_e887_3820, - ]), - pallas::Base::from_raw([ - 0x35b8_1e5b_7fea_8621, - 0x9ab1_93bd_5e06_6a86, - 0x8692_12f1_d266_8fc3, - 0x15ea_d070_2b54_0d1e, - ]), - ), - ( - pallas::Base::from_raw([ - 0x958c_8b6a_f42e_66da, - 0xdfcd_951f_1c14_d6f5, - 0xb5bc_07dc_6f54_f30a, - 0x1d82_d649_7016_56da, - ]), - pallas::Base::from_raw([ - 0x05be_a7e3_a36e_01f9, - 0x77ab_d96c_4618_47be, - 0xa7b5_16d3_9767_5ff3, - 0x1785_5e76_cc3c_e4be, - ]), - ), - ( - pallas::Base::from_raw([ - 0xfd0a_310a_b4fb_5f5a, - 0xd05f_e1c2_4618_bb6f, - 0x5741_e067_013d_e384, - 0x2373_0ed6_879c_4bf1, - ]), - pallas::Base::from_raw([ - 0x7e9f_f7bc_b94c_5d16, - 0xd75e_56b3_9f76_fd96, - 0x5562_35b1_256d_ea0f, - 0x3ecd_11be_4f08_056d, - ]), - ), - ( - pallas::Base::from_raw([ - 0x3d04_4438_d2b7_8ca6, - 0xa679_db14_51f3_dcb0, - 0x922b_166c_a2b2_bb15, - 0x1107_3835_6e3d_778a, - ]), - pallas::Base::from_raw([ - 0x95ce_a45d_d63e_b7e2, - 0x2af0_c617_e626_d526, - 0x9d55_3537_9131_d95d, - 0x0d84_161a_6b99_3a77, - ]), - ), - ( - pallas::Base::from_raw([ - 0x4df8_74c2_f161_5191, - 0xd297_0d9a_0843_1ff4, - 0x66c1_4b9b_525d_f889, - 0x3b83_8a77_8a22_ed9a, - ]), - pallas::Base::from_raw([ - 0x6786_9621_06cb_caae, - 0x83f2_0b98_433f_f62b, - 0xff05_c2a9_4d11_970e, - 0x32db_3f0c_596c_894c, - ]), - ), - ( - pallas::Base::from_raw([ - 0x18d2_6b17_c5b7_95b4, - 0x5097_014c_31df_3d6b, - 0xc1bc_54b7_a9a3_6f47, - 0x003f_0149_4252_2ca4, - ]), - pallas::Base::from_raw([ - 0xe704_1773_6871_2b5d, - 0x012a_3a17_1425_6ed0, - 0x750f_6ae1_dac8_4dba, - 0x39fa_e6ac_0da9_dcec, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0022_fc4f_c196_3017, - 0x6e6d_a891_b75a_a6f2, - 0x8e65_aa60_d9c7_8441, - 0x2ff0_f181_181a_9fa8, - ]), - pallas::Base::from_raw([ - 0x08ea_646a_eaa0_74f3, - 0xe893_09ca_01bb_be00, - 0x0021_c936_55f7_2464, - 0x2e6f_5fdc_b38c_af4f, - ]), - ), - ( - pallas::Base::from_raw([ - 0x99bf_57d6_5784_c501, - 0x7017_bd72_7c8e_b52c, - 0xe919_d31c_2d32_8f5d, - 0x0bcd_43af_aaf5_2fb7, - ]), - pallas::Base::from_raw([ - 0x60d0_5ba3_c3d4_e2a8, - 0x03a1_39f0_df52_02d2, - 0xe5c8_8a6e_21e1_9481, - 0x384a_d0a4_1d52_9ba5, - ]), - ), - ( - pallas::Base::from_raw([ - 0xac1f_1153_693b_c3fb, - 0x95cb_3d54_26f8_0864, - 0xacc9_531f_91c2_17a7, - 0x37a0_65ab_2b62_bad6, - ]), - pallas::Base::from_raw([ - 0x2556_2833_d728_cc98, - 0x157a_5fe3_6bdc_7a86, - 0x45a9_fabe_1703_6e96, - 0x15a6_2e9a_3e84_6efb, - ]), - ), - ( - pallas::Base::from_raw([ - 0x84eb_0966_60b5_7d7e, - 0xbcb3_c183_689f_69b6, - 0xc179_6b0c_1aa2_7a8d, - 0x1f47_12b0_6b77_73e3, - ]), - pallas::Base::from_raw([ - 0x2e00_a10a_f3c4_6f66, - 0xd4d2_d9a4_4958_e31e, - 0xaae5_c9f9_9f8c_6e6a, - 0x0ffb_5c9c_6c4a_c3aa, - ]), - ), - ( - pallas::Base::from_raw([ - 0xebdf_427c_e6aa_6032, - 0x2284_d8b0_888f_cc3a, - 0x3f9c_8166_83f2_fe8d, - 0x3be0_c3d2_1862_d2b0, - ]), - pallas::Base::from_raw([ - 0xd068_4fe3_7825_0382, - 0x29a3_85cf_563b_538f, - 0xb401_2ac9_07b0_9161, - 0x3fe4_fabe_5f26_0616, - ]), - ), - ( - pallas::Base::from_raw([ - 0x0bc2_86a7_8d4d_c29a, - 0xa808_bac0_57cb_7c72, - 0x1e71_e213_e7ad_d6cd, - 0x3d6b_987c_9596_0b11, - ]), - pallas::Base::from_raw([ - 0xe4ac_cdd3_7e1d_475a, - 0xe6b1_afb2_8e9a_e97c, - 0xb43c_7942_dc38_771b, - 0x0a9f_622c_5b76_581d, - ]), - ), - ( - pallas::Base::from_raw([ - 0x346d_1c37_d315_d20d, - 0x2f90_33b6_9759_2232, - 0x19fa_9995_c446_fd03, - 0x0e97_a5fa_b367_fc42, - ]), - pallas::Base::from_raw([ - 0xa4f9_7858_7b47_3a80, - 0x5c3a_72cf_5848_9bcc, - 0x812b_72e4_2421_a299, - 0x2b11_99ab_416d_bef7, - ]), - ), - ( - pallas::Base::from_raw([ - 0x5e07_f1b3_b73a_4e48, - 0x19b0_925f_6f8f_6b83, - 0xcf98_c5cc_7f9a_9cb2, - 0x0f1a_0d41_9b39_1617, - ]), - pallas::Base::from_raw([ - 0x632f_c83e_f090_fdec, - 0x2f3c_0e5b_a18e_d660, - 0xce90_d880_46e7_cabf, - 0x0cad_fd0b_a42e_ea59, - ]), - ), - ( - pallas::Base::from_raw([ - 0x238c_cf74_76ab_5023, - 0x074a_888a_fb1b_0035, - 0x3763_56e8_efeb_ecee, - 0x203e_1e97_4451_db54, - ]), - pallas::Base::from_raw([ - 0x205f_a8cc_d857_d1b7, - 0xa271_379b_274f_7284, - 0x3d47_8f66_532f_d8fc, - 0x1366_88be_56b9_e771, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2b08_b53d_bb1c_746f, - 0xded6_6332_130e_59f9, - 0xec3e_7d70_890f_11b3, - 0x070b_8394_0557_a571, - ]), - pallas::Base::from_raw([ - 0x9320_2c85_006c_febc, - 0x679f_3693_3fc6_5b4d, - 0xea12_f030_0d2a_06e1, - 0x2e11_4723_802f_792c, - ]), - ), - ( - pallas::Base::from_raw([ - 0x356f_e85c_2e67_e247, - 0x1d0d_775e_a300_5f6d, - 0x80f8_64c6_bbd0_c16c, - 0x317a_eda0_114e_e9f0, - ]), - pallas::Base::from_raw([ - 0xcda6_4589_4bfc_0455, - 0xf9fc_3a76_ac88_3c1f, - 0x61f6_a208_798d_28ec, - 0x2c02_1be9_a8c2_9b49, - ]), - ), - ( - pallas::Base::from_raw([ - 0x717a_a137_f5c5_be89, - 0x9028_5359_3102_985b, - 0x4ffc_0b33_2c5a_0750, - 0x2494_2c9c_ed84_3a53, - ]), - pallas::Base::from_raw([ - 0xfbdb_198d_0cae_4fa7, - 0x301e_d666_339f_ae29, - 0xe8db_271b_351f_54c1, - 0x1ec6_b81d_e40c_48da, - ]), - ), - ( - pallas::Base::from_raw([ - 0x1fad_ffb9_7149_61e3, - 0xa176_3927_04e4_6feb, - 0x335d_89f8_2091_038d, - 0x0556_0da5_b68a_034a, - ]), - pallas::Base::from_raw([ - 0x7cbc_a061_15ef_3129, - 0x8e19_e08d_db9c_008d, - 0xa745_abb6_b7a1_36fb, - 0x2ccc_b707_6bde_5545, - ]), - ), - ( - pallas::Base::from_raw([ - 0x66ba_c59c_6f88_1b40, - 0xae9b_1f86_51c5_f96c, - 0x688e_7e00_9bdc_52e1, - 0x27e4_380e_842e_d733, - ]), - pallas::Base::from_raw([ - 0x1be8_47f3_618d_78db, - 0xcbf1_c63d_6c8b_f57f, - 0x62cb_3b48_a39f_91dc, - 0x0ced_7d2b_0b84_8552, - ]), - ), - ( - pallas::Base::from_raw([ - 0x2bc3_ed47_d3b1_9dae, - 0x7929_235c_2bdf_6880, - 0x4ec8_7166_4d23_deae, - 0x026a_bf29_d792_9647, - ]), - pallas::Base::from_raw([ - 0x8951_204b_5262_6b96, - 0x15ba_29c7_c672_fad2, - 0x0d49_9ba7_a480_134c, - 0x397c_dfb1_4d54_65ce, - ]), - ), -]; diff --git a/src/spec.rs b/src/spec.rs index 29677faa..cb751023 100644 --- a/src/spec.rs +++ b/src/spec.rs @@ -6,16 +6,14 @@ use std::ops::Deref; use ff::{Field, PrimeField, PrimeFieldBits}; use group::GroupEncoding; use group::{Curve, Group}; -use halo2::arithmetic::{CurveAffine, CurveExt, FieldExt}; +use halo2_gadgets::primitives::{poseidon, sinsemilla}; +use halo2_proofs::arithmetic::{CurveAffine, CurveExt, FieldExt}; use pasta_curves::pallas; use subtle::{ConditionallySelectable, CtOption}; -use crate::{ - constants::{ - fixed_bases::COMMIT_IVK_PERSONALIZATION, util::gen_const_array, - KEY_DIVERSIFICATION_PERSONALIZATION, L_ORCHARD_BASE, - }, - primitives::{poseidon, sinsemilla}, +use crate::constants::{ + fixed_bases::COMMIT_IVK_PERSONALIZATION, util::gen_const_array, + KEY_DIVERSIFICATION_PERSONALIZATION, L_ORCHARD_BASE, }; mod prf_expand; @@ -283,7 +281,7 @@ mod tests { use super::{i2lebsp, lebs2ip}; use group::Group; - use halo2::arithmetic::CurveExt; + use halo2_proofs::arithmetic::CurveExt; use pasta_curves::pallas; use rand::{rngs::OsRng, RngCore}; use std::convert::TryInto; diff --git a/src/tree.rs b/src/tree.rs index f4c6b461..ccc03ada 100644 --- a/src/tree.rs +++ b/src/tree.rs @@ -7,8 +7,8 @@ use crate::{ MERKLE_DEPTH_ORCHARD, }, note::commitment::ExtractedNoteCommitment, - primitives::sinsemilla::HashDomain, }; +use halo2_gadgets::primitives::sinsemilla::HashDomain; use incrementalmerkletree::{Altitude, Hashable}; use pasta_curves::pallas; From 942f0846b600676cb0e5cb74d101d588be141e6e Mon Sep 17 00:00:00 2001 From: therealyingtong Date: Sat, 29 Jan 2022 02:07:55 +0800 Subject: [PATCH 4/4] Only enable halo2_gadgets test-dependencies in dev. --- Cargo.toml | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/Cargo.toml b/Cargo.toml index 5a3b4236..e7d9666f 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -30,7 +30,7 @@ blake2b_simd = "1" ff = "0.11" fpe = "0.5" group = "0.11" -halo2_gadgets = { version = "0.0", features = ["test-dependencies"] } +halo2_gadgets = "0.0" halo2_proofs = "=0.1.0-beta.1" lazy_static = "1" memuse = { version = "0.2", features = ["nonempty"] } @@ -49,6 +49,7 @@ plotters = { version = "0.3.0", optional = true } [dev-dependencies] criterion = "0.3" +halo2_gadgets = { version = "0.0", features = ["test-dependencies"] } hex = "0.4" proptest = "1.0.0" zcash_note_encryption = { version = "0.1", features = ["pre-zip-212"] }