arnaucube
arnaucube/ark-r1cs-stdPublic Self-hosted repository
Merge branch 'master' into inline-asm
jon-chuang 9093549+jon-chuang@users.noreply.github.com
Wed, 08 Apr 2020 20:40:30 +0800
commit

0427d2a678b0b30ed653a39734cebfae96f8b7dd

parent

8631f883c4ef92d79921fb8e0f7199a24229410f

44 files changed, 649 insertions(+), 843 deletions(-)

jump to
M .hooks/pre-commit → .hooks/pre-commit

@@ -13,7 +13,7 @@

# collect ill-formatted files for file in $(git diff --name-only --cached); do if [ ${file: -3} == ".rs" ]; then - rustfmt +nightly --check $file &>/dev/null + rustfmt +stable --check $file &>/dev/null if [ $? != 0 ]; then problem_files+=($file) fi

@@ -27,7 +27,7 @@ else

# reformat the files that need it and re-stage them. printf "[pre_commit] the following files were rustfmt'd before commit: \n" for file in ${problem_files[@]}; do - rustfmt $file + rustfmt +stable $file git add $file printf "\033[0;32m $file\033[0m \n" done
M cp-benches/benches/crypto_primitives/nizk.rs → cp-benches/benches/crypto_primitives/nizk.rs

@@ -11,7 +11,7 @@

type TestProofSystem = Gm17<Bls12_377, Bench<Fr>, Fr>; struct Bench<F: Field> { - inputs: Vec<Option<F>>, + inputs: Vec<Option<F>>, num_constraints: usize, }
M crypto-primitives/src/commitment/injective_map/constraints.rs → crypto-primitives/src/commitment/injective_map/constraints.rs

@@ -26,9 +26,9 @@ ConstraintF: Field,

GG: GroupGadget<G, ConstraintF>, IG: InjectiveMapGadget<G, I, ConstraintF, GG>, { - _compressor: PhantomData<I>, + _compressor: PhantomData<I>, _compressor_gadget: PhantomData<IG>, - _crh: PedersenCommitmentGadget<G, ConstraintF, GG>, + _crh: PedersenCommitmentGadget<G, ConstraintF, GG>, } impl<G, I, ConstraintF, GG, IG, W> CommitmentGadget<PedersenCommCompressor<G, I, W>, ConstraintF>
M crypto-primitives/src/commitment/injective_map/mod.rs → crypto-primitives/src/commitment/injective_map/mod.rs

@@ -13,9 +13,9 @@ #[cfg(feature = "r1cs")]

pub mod constraints; pub struct PedersenCommCompressor<G: Group, I: InjectiveMap<G>, W: PedersenWindow> { - _group: PhantomData<G>, + _group: PhantomData<G>, _compressor: PhantomData<I>, - _comm: PedersenCommitment<G, W>, + _comm: PedersenCommitment<G, W>, } impl<G: Group, I: InjectiveMap<G>, W: PedersenWindow> CommitmentScheme
M crypto-primitives/src/commitment/pedersen/constraints.rs → crypto-primitives/src/commitment/pedersen/constraints.rs

@@ -15,9 +15,9 @@

#[derive(Derivative)] #[derivative(Clone(bound = "G: Group, W: PedersenWindow, ConstraintF: Field"))] pub struct PedersenCommitmentGadgetParameters<G: Group, W: PedersenWindow, ConstraintF: Field> { - params: PedersenParameters<G>, + params: PedersenParameters<G>, #[doc(hidden)] - _group: PhantomData<G>, + _group: PhantomData<G>, #[doc(hidden)] _engine: PhantomData<ConstraintF>, #[doc(hidden)]

@@ -109,8 +109,8 @@ let temp = value_gen()?;

let parameters = temp.borrow().clone(); Ok(PedersenCommitmentGadgetParameters { - params: parameters, - _group: PhantomData, + params: parameters, + _group: PhantomData, _engine: PhantomData, _window: PhantomData, })

@@ -128,8 +128,8 @@ let temp = value_gen()?;

let parameters = temp.borrow().clone(); Ok(PedersenCommitmentGadgetParameters { - params: parameters, - _group: PhantomData, + params: parameters, + _group: PhantomData, _engine: PhantomData, _window: PhantomData, })
M crypto-primitives/src/commitment/pedersen/mod.rs → crypto-primitives/src/commitment/pedersen/mod.rs

@@ -23,11 +23,11 @@

#[derive(Clone)] pub struct PedersenParameters<G: Group> { pub randomness_generator: Vec<G>, - pub generators: Vec<Vec<G>>, + pub generators: Vec<Vec<G>>, } pub struct PedersenCommitment<G: Group, W: PedersenWindow> { - group: PhantomData<G>, + group: PhantomData<G>, window: PhantomData<W>, }
M crypto-primitives/src/crh/bowe_hopwood/constraints.rs → crypto-primitives/src/crh/bowe_hopwood/constraints.rs

@@ -21,10 +21,10 @@ W: PedersenWindow,

ConstraintF: Field, GG: GroupGadget<G, ConstraintF>, > { - params: BoweHopwoodPedersenParameters<G>, + params: BoweHopwoodPedersenParameters<G>, _group_g: PhantomData<GG>, - _engine: PhantomData<ConstraintF>, - _window: PhantomData<W>, + _engine: PhantomData<ConstraintF>, + _window: PhantomData<W>, } pub struct BoweHopwoodPedersenCRHGadget<

@@ -32,9 +32,9 @@ G: Group,

ConstraintF: Field, GG: GroupGadget<G, ConstraintF>, > { - _group: PhantomData<*const G>, + _group: PhantomData<*const G>, _group_gadget: PhantomData<*const GG>, - _engine: PhantomData<ConstraintF>, + _engine: PhantomData<ConstraintF>, } impl<ConstraintF, G, GG, W> FixedLengthCRHGadget<BoweHopwoodPedersenCRH<G, W>, ConstraintF>
M crypto-primitives/src/crh/bowe_hopwood/mod.rs → crypto-primitives/src/crh/bowe_hopwood/mod.rs

@@ -23,7 +23,7 @@ pub generators: Vec<Vec<G>>,

} pub struct BoweHopwoodPedersenCRH<G: Group, W: PedersenWindow> { - group: PhantomData<G>, + group: PhantomData<G>, window: PhantomData<W>, }
M crypto-primitives/src/crh/injective_map/constraints.rs → crypto-primitives/src/crh/injective_map/constraints.rs

@@ -97,9 +97,9 @@ ConstraintF: Field,

GG: GroupGadget<G, ConstraintF>, IG: InjectiveMapGadget<G, I, ConstraintF, GG>, { - _compressor: PhantomData<I>, + _compressor: PhantomData<I>, _compressor_gadget: PhantomData<IG>, - _crh: PedersenCRHGadget<G, ConstraintF, GG>, + _crh: PedersenCRHGadget<G, ConstraintF, GG>, } impl<G, I, ConstraintF, GG, IG, W> FixedLengthCRHGadget<PedersenCRHCompressor<G, I, W>, ConstraintF>
M crypto-primitives/src/crh/injective_map/mod.rs → crypto-primitives/src/crh/injective_map/mod.rs

@@ -46,9 +46,9 @@ }

} pub struct PedersenCRHCompressor<G: Group, I: InjectiveMap<G>, W: PedersenWindow> { - _group: PhantomData<G>, + _group: PhantomData<G>, _compressor: PhantomData<I>, - _crh: PedersenCRH<G, W>, + _crh: PedersenCRH<G, W>, } impl<G: Group, I: InjectiveMap<G>, W: PedersenWindow> FixedLengthCRH
M crypto-primitives/src/crh/pedersen/constraints.rs → crypto-primitives/src/crh/pedersen/constraints.rs

@@ -18,19 +18,19 @@ W: PedersenWindow,

ConstraintF: Field, GG: GroupGadget<G, ConstraintF>, > { - params: PedersenParameters<G>, + params: PedersenParameters<G>, _group_g: PhantomData<GG>, - _engine: PhantomData<ConstraintF>, - _window: PhantomData<W>, + _engine: PhantomData<ConstraintF>, + _window: PhantomData<W>, } pub struct PedersenCRHGadget<G: Group, ConstraintF: Field, GG: GroupGadget<G, ConstraintF>> { #[doc(hideen)] - _group: PhantomData<*const G>, + _group: PhantomData<*const G>, #[doc(hideen)] _group_gadget: PhantomData<*const GG>, #[doc(hideen)] - _engine: PhantomData<ConstraintF>, + _engine: PhantomData<ConstraintF>, } impl<ConstraintF, G, GG, W> FixedLengthCRHGadget<PedersenCRH<G, W>, ConstraintF>
M crypto-primitives/src/crh/pedersen/mod.rs → crypto-primitives/src/crh/pedersen/mod.rs

@@ -25,7 +25,7 @@ pub generators: Vec<Vec<G>>,

} pub struct PedersenCRH<G: Group, W: PedersenWindow> { - group: PhantomData<G>, + group: PhantomData<G>, window: PhantomData<W>, }
M crypto-primitives/src/merkle_tree/mod.rs → crypto-primitives/src/merkle_tree/mod.rs

@@ -82,13 +82,13 @@ }

} pub struct MerkleHashTree<P: MerkleTreeConfig> { - tree: Vec<<P::H as FixedLengthCRH>::Output>, + tree: Vec<<P::H as FixedLengthCRH>::Output>, padding_tree: Vec<( <P::H as FixedLengthCRH>::Output, <P::H as FixedLengthCRH>::Output, )>, - parameters: <P::H as FixedLengthCRH>::Parameters, - root: Option<<P::H as FixedLengthCRH>::Output>, + parameters: <P::H as FixedLengthCRH>::Parameters, + root: Option<<P::H as FixedLengthCRH>::Output>, } impl<P: MerkleTreeConfig> MerkleHashTree<P> {

@@ -248,7 +248,7 @@ fn fmt(&self, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result {

let msg = match self { MerkleTreeError::IncorrectLeafIndex(index) => { format!("incorrect leaf index: {}", index) - }, + } MerkleTreeError::IncorrectPathLength(len) => format!("incorrect path length: {}", len), }; write!(f, "{}", msg)
M crypto-primitives/src/nizk/gm17/constraints.rs → crypto-primitives/src/nizk/gm17/constraints.rs

@@ -28,12 +28,12 @@ PairingE: PairingEngine,

ConstraintF: Field, P: PairingGadget<PairingE, ConstraintF>, > { - pub h_g2: P::G2Gadget, + pub h_g2: P::G2Gadget, pub g_alpha_g1: P::G1Gadget, - pub h_beta_g2: P::G2Gadget, + pub h_beta_g2: P::G2Gadget, pub g_gamma_g1: P::G1Gadget, pub h_gamma_g2: P::G2Gadget, - pub query: Vec<P::G1Gadget>, + pub query: Vec<P::G1Gadget>, } impl<PairingE: PairingEngine, ConstraintF: Field, P: PairingGadget<PairingE, ConstraintF>>

@@ -72,14 +72,14 @@ PairingE: PairingEngine,

ConstraintF: Field, P: PairingGadget<PairingE, ConstraintF>, > { - pub g_alpha: P::G1Gadget, - pub h_beta: P::G2Gadget, + pub g_alpha: P::G1Gadget, + pub h_beta: P::G2Gadget, pub g_alpha_pc: P::G1PreparedGadget, - pub h_beta_pc: P::G2PreparedGadget, + pub h_beta_pc: P::G2PreparedGadget, pub g_gamma_pc: P::G1PreparedGadget, pub h_gamma_pc: P::G2PreparedGadget, - pub h_pc: P::G2PreparedGadget, - pub query: Vec<P::G1Gadget>, + pub h_pc: P::G2PreparedGadget, + pub query: Vec<P::G1Gadget>, } pub struct Gm17VerifierGadget<PairingE, ConstraintF, P>

@@ -89,7 +89,7 @@ ConstraintF: Field,

P: PairingGadget<PairingE, ConstraintF>, { _pairing_engine: PhantomData<PairingE>, - _engine: PhantomData<ConstraintF>, + _engine: PhantomData<ConstraintF>, _pairing_gadget: PhantomData<P>, }

@@ -412,7 +412,7 @@ type TestProofGadget = ProofGadget<Bls12_377, Fq, Bls12_377PairingGadget>;

type TestVkGadget = VerifyingKeyGadget<Bls12_377, Fq, Bls12_377PairingGadget>; struct Bench<F: Field> { - inputs: Vec<Option<F>>, + inputs: Vec<Option<F>>, num_constraints: usize, }

@@ -564,7 +564,7 @@ type TestVkGadget2 = VerifyingKeyGadget<MNT4_298, MNT4Fq, MNT4_298PairingGadget>;

#[derive(Clone)] struct Bench<F: Field> { - inputs: Vec<Option<F>>, + inputs: Vec<Option<F>>, num_constraints: usize, }

@@ -612,7 +612,7 @@

struct Wrapper { inputs: Vec<Option<MNT4Fq>>, params: Parameters<MNT6_298>, - proof: Proof<MNT6_298>, + proof: Proof<MNT6_298>, } impl ConstraintSynthesizer<MNT6Fq> for Wrapper {

@@ -709,7 +709,7 @@ let params = {

let c = Wrapper { inputs: inputs.clone(), params: inner_params.clone(), - proof: inner_proof.clone(), + proof: inner_proof.clone(), }; generate_random_parameters(c, rng).unwrap()

@@ -722,7 +722,7 @@ // witness)

let c = Wrapper { inputs: inputs.clone(), params: inner_params.clone(), - proof: inner_proof.clone(), + proof: inner_proof.clone(), }; // Create a groth16 proof with our parameters. create_random_proof(c, &params, rng).unwrap()
M crypto-primitives/src/nizk/gm17/mod.rs → crypto-primitives/src/nizk/gm17/mod.rs

@@ -23,9 +23,9 @@ C: ConstraintSynthesizer<E::Fr>,

V: ToConstraintField<E::Fr> + ?Sized, > { #[doc(hidden)] - _engine: PhantomData<E>, + _engine: PhantomData<E>, #[doc(hidden)] - _circuit: PhantomData<C>, + _circuit: PhantomData<C>, #[doc(hidden)] _verifier_input: PhantomData<V>, }
M crypto-primitives/src/nizk/groth16/constraints.rs → crypto-primitives/src/nizk/groth16/constraints.rs

@@ -28,10 +28,10 @@ PairingE: PairingEngine,

ConstraintF: Field, P: PairingGadget<PairingE, ConstraintF>, > { - pub alpha_g1: P::G1Gadget, - pub beta_g2: P::G2Gadget, - pub gamma_g2: P::G2Gadget, - pub delta_g2: P::G2Gadget, + pub alpha_g1: P::G1Gadget, + pub beta_g2: P::G2Gadget, + pub gamma_g2: P::G2Gadget, + pub delta_g2: P::G2Gadget, pub gamma_abc_g1: Vec<P::G1Gadget>, }

@@ -78,9 +78,9 @@ ConstraintF: Field,

P: PairingGadget<PairingE, ConstraintF>, > { pub alpha_g1_beta_g2: P::GTGadget, - pub gamma_g2_neg_pc: P::G2PreparedGadget, - pub delta_g2_neg_pc: P::G2PreparedGadget, - pub gamma_abc_g1: Vec<P::G1Gadget>, + pub gamma_g2_neg_pc: P::G2PreparedGadget, + pub delta_g2_neg_pc: P::G2PreparedGadget, + pub gamma_abc_g1: Vec<P::G1Gadget>, } pub struct Groth16VerifierGadget<PairingE, ConstraintF, P>

@@ -90,7 +90,7 @@ ConstraintF: Field,

P: PairingGadget<PairingE, ConstraintF>, { _pairing_engine: PhantomData<PairingE>, - _engine: PhantomData<ConstraintF>, + _engine: PhantomData<ConstraintF>, _pairing_gadget: PhantomData<P>, }

@@ -359,7 +359,7 @@ type TestProofGadget = ProofGadget<Bls12_377, Fq, Bls12_377PairingGadget>;

type TestVkGadget = VerifyingKeyGadget<Bls12_377, Fq, Bls12_377PairingGadget>; struct Bench<F: Field> { - inputs: Vec<Option<F>>, + inputs: Vec<Option<F>>, num_constraints: usize, }

@@ -511,7 +511,7 @@ type TestVkGadget2 = VerifyingKeyGadget<MNT4_298, MNT4Fq, MNT4_298PairingGadget>;

#[derive(Clone)] struct Bench<F: Field> { - inputs: Vec<Option<F>>, + inputs: Vec<Option<F>>, num_constraints: usize, }

@@ -559,7 +559,7 @@

struct Wrapper { inputs: Vec<Option<MNT4Fq>>, params: Parameters<MNT6_298>, - proof: Proof<MNT6_298>, + proof: Proof<MNT6_298>, } impl ConstraintSynthesizer<MNT6Fq> for Wrapper {

@@ -656,7 +656,7 @@ let params = {

let c = Wrapper { inputs: inputs.clone(), params: inner_params.clone(), - proof: inner_proof.clone(), + proof: inner_proof.clone(), }; generate_random_parameters(c, rng).unwrap()

@@ -669,7 +669,7 @@ // witness)

let c = Wrapper { inputs: inputs.clone(), params: inner_params.clone(), - proof: inner_proof.clone(), + proof: inner_proof.clone(), }; // Create a groth16 proof with our parameters. create_random_proof(c, &params, rng).unwrap()
M crypto-primitives/src/nizk/groth16/mod.rs → crypto-primitives/src/nizk/groth16/mod.rs

@@ -23,9 +23,9 @@ C: ConstraintSynthesizer<E::Fr>,

V: ToConstraintField<E::Fr> + ?Sized, > { #[doc(hidden)] - _engine: PhantomData<E>, + _engine: PhantomData<E>, #[doc(hidden)] - _circuit: PhantomData<C>, + _circuit: PhantomData<C>, #[doc(hidden)] _verifier_input: PhantomData<V>, }
M crypto-primitives/src/nizk/mod.rs → crypto-primitives/src/nizk/mod.rs

@@ -67,17 +67,17 @@ use r1cs_core::{ConstraintSynthesizer, ConstraintSystem, SynthesisError};

#[derive(Copy, Clone)] struct R1CSCircuit { - x: Option<Fr>, + x: Option<Fr>, sum: Option<Fr>, - w: Option<Fr>, + w: Option<Fr>, } impl R1CSCircuit { pub(super) fn new(x: Fr, sum: Fr, w: Fr) -> Self { Self { - x: Some(x), + x: Some(x), sum: Some(sum), - w: Some(w), + w: Some(w), } } }
M crypto-primitives/src/prf/blake2s/constraints.rs → crypto-primitives/src/prf/blake2s/constraints.rs

@@ -664,14 +664,14 @@ for b in chunk.to_bits_le() {

match b { Boolean::Is(b) => { assert!(s.next().unwrap() == b.get_value().unwrap()); - }, + } Boolean::Not(b) => { assert!(s.next().unwrap() != b.get_value().unwrap()); - }, + } Boolean::Constant(b) => { assert!(input_len == 0); assert!(s.next().unwrap() == b); - }, + } } } }
M crypto-primitives/src/prf/blake2s/mod.rs → crypto-primitives/src/prf/blake2s/mod.rs

@@ -30,17 +30,17 @@ }

#[derive(Clone)] pub struct Blake2sWithParameterBlock { - pub digest_length: u8, - pub key_length: u8, - pub fan_out: u8, - pub depth: u8, - pub leaf_length: u32, - pub node_offset: u32, + pub digest_length: u8, + pub key_length: u8, + pub fan_out: u8, + pub depth: u8, + pub leaf_length: u32, + pub node_offset: u32, pub xof_digest_length: u16, - pub node_depth: u8, - pub inner_length: u8, - pub salt: [u8; 8], - pub personalization: [u8; 8], + pub node_depth: u8, + pub inner_length: u8, + pub salt: [u8; 8], + pub personalization: [u8; 8], } impl Blake2sWithParameterBlock {
M crypto-primitives/src/signature/schnorr/constraints.rs → crypto-primitives/src/signature/schnorr/constraints.rs

@@ -12,8 +12,8 @@

pub struct SchnorrSigGadgetParameters<G: Group, ConstraintF: Field, GG: GroupGadget<G, ConstraintF>> { generator: GG, - _group: PhantomData<*const G>, - _engine: PhantomData<*const ConstraintF>, + _group: PhantomData<*const G>, + _engine: PhantomData<*const ConstraintF>, } impl<G: Group, ConstraintF: Field, GG: GroupGadget<G, ConstraintF>> Clone

@@ -22,8 +22,8 @@ {

fn clone(&self) -> Self { Self { generator: self.generator.clone(), - _group: PhantomData, - _engine: PhantomData, + _group: PhantomData, + _engine: PhantomData, } } }

@@ -38,18 +38,18 @@ )]

pub struct SchnorrSigGadgetPk<G: Group, ConstraintF: Field, GG: GroupGadget<G, ConstraintF>> { pub_key: GG, #[doc(hidden)] - _group: PhantomData<*const G>, + _group: PhantomData<*const G>, #[doc(hidden)] _engine: PhantomData<*const ConstraintF>, } pub struct SchnorrRandomizePkGadget<G: Group, ConstraintF: Field, GG: GroupGadget<G, ConstraintF>> { #[doc(hidden)] - _group: PhantomData<*const G>, + _group: PhantomData<*const G>, #[doc(hidden)] _group_gadget: PhantomData<*const GG>, #[doc(hidden)] - _engine: PhantomData<*const ConstraintF>, + _engine: PhantomData<*const ConstraintF>, } impl<G, GG, D, ConstraintF> SigRandomizePkGadget<SchnorrSignature<G, D>, ConstraintF>

@@ -81,7 +81,7 @@ randomness.iter(),

)?; Ok(SchnorrSigGadgetPk { pub_key: rand_pk, - _group: PhantomData, + _group: PhantomData, _engine: PhantomData, }) }
M crypto-primitives/src/signature/schnorr/mod.rs → crypto-primitives/src/signature/schnorr/mod.rs

@@ -15,15 +15,15 @@ pub mod constraints;

pub struct SchnorrSignature<G: Group, D: Digest> { _group: PhantomData<G>, - _hash: PhantomData<D>, + _hash: PhantomData<D>, } #[derive(Derivative)] #[derivative(Clone(bound = "G: Group, H: Digest"))] pub struct SchnorrSigParameters<G: Group, H: Digest> { - _hash: PhantomData<H>, + _hash: PhantomData<H>, pub generator: G, - pub salt: [u8; 32], + pub salt: [u8; 32], } pub type SchnorrPublicKey<G> = G;

@@ -42,7 +42,7 @@

#[derive(Derivative)] #[derivative(Clone(bound = "G: Group"), Default(bound = "G: Group"))] pub struct SchnorrSig<G: Group> { - pub prover_response: G::ScalarField, + pub prover_response: G::ScalarField, pub verifier_challenge: G::ScalarField, }

@@ -198,7 +198,7 @@ base.double_in_place();

} let new_sig = SchnorrSig { - prover_response: *prover_response - &(*verifier_challenge * &multiplier), + prover_response: *prover_response - &(*verifier_challenge * &multiplier), verifier_challenge: *verifier_challenge, }; end_timer!(rand_signature_time);
M r1cs-std/src/bits/boolean.rs → r1cs-std/src/bits/boolean.rs

@@ -9,7 +9,7 @@ /// to be either zero or one.

#[derive(Copy, Clone, Debug)] pub struct AllocatedBit { variable: Variable, - value: Option<bool>, + value: Option<bool>, } impl AllocatedBit {

@@ -69,7 +69,7 @@ );

Ok(AllocatedBit { variable: result_var, - value: result_value, + value: result_value, }) }

@@ -108,7 +108,7 @@ );

Ok(AllocatedBit { variable: result_var, - value: result_value, + value: result_value, }) }

@@ -145,7 +145,7 @@ );

Ok(AllocatedBit { variable: result_var, - value: result_value, + value: result_value, }) }

@@ -183,7 +183,7 @@ );

Ok(AllocatedBit { variable: result_var, - value: result_value, + value: result_value, }) }

@@ -221,7 +221,7 @@ );

Ok(AllocatedBit { variable: result_var, - value: result_value, + value: result_value, }) } }

@@ -362,7 +362,7 @@ |lc| ConstraintVar::from(result_var) - &second_var + lc,

); Ok(AllocatedBit { - value: result_val, + value: result_val, variable: result_var, }) }

@@ -400,11 +400,11 @@ (coeff, one).into()

} else { LinearCombination::<ConstraintF>::zero() } - }, + } Boolean::Is(ref v) => (coeff, v.get_variable()).into(), Boolean::Not(ref v) => { LinearCombination::<ConstraintF>::zero() + (coeff, one) - (coeff, v.get_variable()) - }, + } } }

@@ -458,12 +458,12 @@ // a XOR (NOT b) = NOT(a XOR b)

(is @ &Boolean::Is(_), not @ &Boolean::Not(_)) | (not @ &Boolean::Not(_), is @ &Boolean::Is(_)) => { Ok(Boolean::xor(cs, is, &not.not())?.not()) - }, + } // a XOR b = (NOT a) XOR (NOT b) (&Boolean::Is(ref a), &Boolean::Is(ref b)) | (&Boolean::Not(ref a), &Boolean::Not(ref b)) => { Ok(Boolean::Is(AllocatedBit::xor(cs, a, b)?)) - }, + } } }

@@ -477,16 +477,16 @@ match (a, b) {

(&Boolean::Constant(false), x) | (x, &Boolean::Constant(false)) => Ok(*x), (&Boolean::Constant(true), _) | (_, &Boolean::Constant(true)) => { Ok(Boolean::Constant(true)) - }, + } // a OR b = NOT ((NOT a) AND b) (a @ &Boolean::Is(_), b @ &Boolean::Not(_)) | (b @ &Boolean::Not(_), a @ &Boolean::Is(_)) | (b @ &Boolean::Not(_), a @ &Boolean::Not(_)) => { Ok(Boolean::and(cs, &a.not(), &b.not())?.not()) - }, + } (&Boolean::Is(ref a), &Boolean::Is(ref b)) => { AllocatedBit::or(cs, a, b).map(Boolean::from) - }, + } } }

@@ -504,22 +504,22 @@ match (a, b) {

// false AND x is always false (&Boolean::Constant(false), _) | (_, &Boolean::Constant(false)) => { Ok(Boolean::Constant(false)) - }, + } // true AND x is always x (&Boolean::Constant(true), x) | (x, &Boolean::Constant(true)) => Ok(*x), // a AND (NOT b) (&Boolean::Is(ref is), &Boolean::Not(ref not)) | (&Boolean::Not(ref not), &Boolean::Is(ref is)) => { Ok(Boolean::Is(AllocatedBit::and_not(cs, is, not)?)) - }, + } // (NOT a) AND (NOT b) = a NOR b (&Boolean::Not(ref a), &Boolean::Not(ref b)) => { Ok(Boolean::Is(AllocatedBit::nor(cs, a, b)?)) - }, + } // a AND b (&Boolean::Is(ref a), &Boolean::Is(ref b)) => { Ok(Boolean::Is(AllocatedBit::and(cs, a, b)?)) - }, + } } }

@@ -559,7 +559,7 @@ |lc| lc + res.get_variable(),

); Ok(()) - }, + } Boolean::Not(ref res) => { cs.enforce( || "enforce nand",

@@ -569,7 +569,7 @@ |lc| lc + CS::one() - res.get_variable(),

); Ok(()) - }, + } } }

@@ -760,25 +760,25 @@ (Constant(_), Constant(_)) => return Err(SynthesisError::AssignmentMissing),

// 1 - a (Constant(true), Is(a)) | (Is(a), Constant(true)) => { LinearCombination::zero() + one - a.get_variable() - }, + } // a - 0 = a (Constant(false), Is(a)) | (Is(a), Constant(false)) => { LinearCombination::zero() + a.get_variable() - }, + } // 1 - !a = 1 - (1 - a) = a (Constant(true), Not(a)) | (Not(a), Constant(true)) => { LinearCombination::zero() + a.get_variable() - }, + } // !a - 0 = !a = 1 - a (Constant(false), Not(a)) | (Not(a), Constant(false)) => { LinearCombination::zero() + one - a.get_variable() - }, + } // b - a, (Is(a), Is(b)) => LinearCombination::zero() + b.get_variable() - a.get_variable(), // !b - a = (1 - b) - a (Is(a), Not(b)) | (Not(b), Is(a)) => { LinearCombination::zero() + one - b.get_variable() - a.get_variable() - }, + } // !b - !a = (1 - b) - (1 - a) = a - b, (Not(a), Not(b)) => LinearCombination::zero() + a.get_variable() - b.get_variable(), };

@@ -831,7 +831,7 @@ Boolean::Constant(true) => Ok(true_value.clone()),

Boolean::Constant(false) => Ok(false_value.clone()), cond @ Boolean::Not(_) => { Self::conditionally_select(cs, &cond.not(), false_value, true_value) - }, + } cond @ Boolean::Is(_) => match (true_value, false_value) { (x, &Boolean::Constant(false)) => Boolean::and(cs.ns(|| "and"), cond, x).into(), (&Boolean::Constant(false), x) => Boolean::and(cs.ns(|| "and"), &cond.not(), x),

@@ -847,7 +847,7 @@ Ok(

cond_select_helper(cs, cond, (a.get_value(), a_lc), (b.get_value(), b_lc))? .into(), ) - }, + } }, } }

@@ -1138,42 +1138,42 @@

let mut b = Boolean::from(AllocatedBit::alloc(&mut cs, || Ok(true)).unwrap()); match b { - Boolean::Is(_) => {}, + Boolean::Is(_) => {} _ => panic!("unexpected value"), } b = b.not(); match b { - Boolean::Not(_) => {}, + Boolean::Not(_) => {} _ => panic!("unexpected value"), } b = b.not(); match b { - Boolean::Is(_) => {}, + Boolean::Is(_) => {} _ => panic!("unexpected value"), } b = Boolean::constant(true); match b { - Boolean::Constant(true) => {}, + Boolean::Constant(true) => {} _ => panic!("unexpected value"), } b = b.not(); match b { - Boolean::Constant(false) => {}, + Boolean::Constant(false) => {} _ => panic!("unexpected value"), } b = b.not(); match b { - Boolean::Constant(true) => {}, + Boolean::Constant(true) => {} _ => panic!("unexpected value"), } }

@@ -1215,16 +1215,16 @@ OperandType::True => Boolean::constant(true),

OperandType::False => Boolean::constant(false), OperandType::AllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()) - }, + } OperandType::AllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()) - }, + } OperandType::NegatedAllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()).not() - }, + } OperandType::NegatedAllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()).not() - }, + } } };

@@ -1237,22 +1237,22 @@

assert!(cs.is_satisfied()); match (first_operand, second_operand, c) { - (OperandType::True, OperandType::True, Boolean::Constant(false)) => {}, - (OperandType::True, OperandType::False, Boolean::Constant(true)) => {}, - (OperandType::True, OperandType::AllocatedTrue, Boolean::Not(_)) => {}, - (OperandType::True, OperandType::AllocatedFalse, Boolean::Not(_)) => {}, - (OperandType::True, OperandType::NegatedAllocatedTrue, Boolean::Is(_)) => {}, - (OperandType::True, OperandType::NegatedAllocatedFalse, Boolean::Is(_)) => {}, + (OperandType::True, OperandType::True, Boolean::Constant(false)) => {} + (OperandType::True, OperandType::False, Boolean::Constant(true)) => {} + (OperandType::True, OperandType::AllocatedTrue, Boolean::Not(_)) => {} + (OperandType::True, OperandType::AllocatedFalse, Boolean::Not(_)) => {} + (OperandType::True, OperandType::NegatedAllocatedTrue, Boolean::Is(_)) => {} + (OperandType::True, OperandType::NegatedAllocatedFalse, Boolean::Is(_)) => {} - (OperandType::False, OperandType::True, Boolean::Constant(true)) => {}, - (OperandType::False, OperandType::False, Boolean::Constant(false)) => {}, - (OperandType::False, OperandType::AllocatedTrue, Boolean::Is(_)) => {}, - (OperandType::False, OperandType::AllocatedFalse, Boolean::Is(_)) => {}, - (OperandType::False, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {}, - (OperandType::False, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {}, + (OperandType::False, OperandType::True, Boolean::Constant(true)) => {} + (OperandType::False, OperandType::False, Boolean::Constant(false)) => {} + (OperandType::False, OperandType::AllocatedTrue, Boolean::Is(_)) => {} + (OperandType::False, OperandType::AllocatedFalse, Boolean::Is(_)) => {} + (OperandType::False, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {} + (OperandType::False, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {} - (OperandType::AllocatedTrue, OperandType::True, Boolean::Not(_)) => {}, - (OperandType::AllocatedTrue, OperandType::False, Boolean::Is(_)) => {}, + (OperandType::AllocatedTrue, OperandType::True, Boolean::Not(_)) => {} + (OperandType::AllocatedTrue, OperandType::False, Boolean::Is(_)) => {} ( OperandType::AllocatedTrue, OperandType::AllocatedTrue,

@@ -1260,7 +1260,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedTrue, OperandType::AllocatedFalse,

@@ -1268,7 +1268,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedTrue, OperandType::NegatedAllocatedTrue,

@@ -1276,7 +1276,7 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedTrue, OperandType::NegatedAllocatedFalse,

@@ -1284,10 +1284,10 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } - (OperandType::AllocatedFalse, OperandType::True, Boolean::Not(_)) => {}, - (OperandType::AllocatedFalse, OperandType::False, Boolean::Is(_)) => {}, + (OperandType::AllocatedFalse, OperandType::True, Boolean::Not(_)) => {} + (OperandType::AllocatedFalse, OperandType::False, Boolean::Is(_)) => {} ( OperandType::AllocatedFalse, OperandType::AllocatedTrue,

@@ -1295,7 +1295,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedFalse, OperandType::AllocatedFalse,

@@ -1303,7 +1303,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedFalse, OperandType::NegatedAllocatedTrue,

@@ -1311,7 +1311,7 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedFalse, OperandType::NegatedAllocatedFalse,

@@ -1319,10 +1319,10 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } - (OperandType::NegatedAllocatedTrue, OperandType::True, Boolean::Is(_)) => {}, - (OperandType::NegatedAllocatedTrue, OperandType::False, Boolean::Not(_)) => {}, + (OperandType::NegatedAllocatedTrue, OperandType::True, Boolean::Is(_)) => {} + (OperandType::NegatedAllocatedTrue, OperandType::False, Boolean::Not(_)) => {} ( OperandType::NegatedAllocatedTrue, OperandType::AllocatedTrue,

@@ -1330,7 +1330,7 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::AllocatedFalse,

@@ -1338,7 +1338,7 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedTrue,

@@ -1346,7 +1346,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedFalse,

@@ -1354,10 +1354,10 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } - (OperandType::NegatedAllocatedFalse, OperandType::True, Boolean::Is(_)) => {}, - (OperandType::NegatedAllocatedFalse, OperandType::False, Boolean::Not(_)) => {}, + (OperandType::NegatedAllocatedFalse, OperandType::True, Boolean::Is(_)) => {} + (OperandType::NegatedAllocatedFalse, OperandType::False, Boolean::Not(_)) => {} ( OperandType::NegatedAllocatedFalse, OperandType::AllocatedTrue,

@@ -1365,7 +1365,7 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::AllocatedFalse,

@@ -1373,7 +1373,7 @@ Boolean::Not(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedTrue,

@@ -1381,7 +1381,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedFalse,

@@ -1389,7 +1389,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("xor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } _ => panic!("this should never be encountered"), }

@@ -1426,18 +1426,18 @@ OperandType::True => Boolean::constant(true),

OperandType::False => Boolean::constant(false), OperandType::AllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()) - }, + } OperandType::AllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()) - }, + } OperandType::NegatedAllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()) .not() - }, + } OperandType::NegatedAllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()) .not() - }, + } } };

@@ -1498,16 +1498,16 @@ OperandType::True => Boolean::constant(true),

OperandType::False => Boolean::constant(false), OperandType::AllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()) - }, + } OperandType::AllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()) - }, + } OperandType::NegatedAllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()).not() - }, + } OperandType::NegatedAllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()).not() - }, + } } };

@@ -1520,159 +1520,159 @@

assert!(cs.is_satisfied()); match (first_operand, second_operand, c) { - (OperandType::True, OperandType::True, Boolean::Constant(true)) => {}, - (OperandType::True, OperandType::False, Boolean::Constant(true)) => {}, - (OperandType::True, OperandType::AllocatedTrue, Boolean::Constant(true)) => {}, - (OperandType::True, OperandType::AllocatedFalse, Boolean::Constant(true)) => {}, + (OperandType::True, OperandType::True, Boolean::Constant(true)) => {} + (OperandType::True, OperandType::False, Boolean::Constant(true)) => {} + (OperandType::True, OperandType::AllocatedTrue, Boolean::Constant(true)) => {} + (OperandType::True, OperandType::AllocatedFalse, Boolean::Constant(true)) => {} ( OperandType::True, OperandType::NegatedAllocatedTrue, Boolean::Constant(true), - ) => {}, + ) => {} ( OperandType::True, OperandType::NegatedAllocatedFalse, Boolean::Constant(true), - ) => {}, + ) => {} - (OperandType::False, OperandType::True, Boolean::Constant(true)) => {}, - (OperandType::False, OperandType::False, Boolean::Constant(false)) => {}, - (OperandType::False, OperandType::AllocatedTrue, Boolean::Is(_)) => {}, - (OperandType::False, OperandType::AllocatedFalse, Boolean::Is(_)) => {}, - (OperandType::False, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {}, - (OperandType::False, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {}, + (OperandType::False, OperandType::True, Boolean::Constant(true)) => {} + (OperandType::False, OperandType::False, Boolean::Constant(false)) => {} + (OperandType::False, OperandType::AllocatedTrue, Boolean::Is(_)) => {} + (OperandType::False, OperandType::AllocatedFalse, Boolean::Is(_)) => {} + (OperandType::False, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {} + (OperandType::False, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {} - (OperandType::AllocatedTrue, OperandType::True, Boolean::Constant(true)) => {}, - (OperandType::AllocatedTrue, OperandType::False, Boolean::Is(_)) => {}, + (OperandType::AllocatedTrue, OperandType::True, Boolean::Constant(true)) => {} + (OperandType::AllocatedTrue, OperandType::False, Boolean::Is(_)) => {} ( OperandType::AllocatedTrue, OperandType::AllocatedTrue, Boolean::Is(ref v), ) => { assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedTrue, OperandType::AllocatedFalse, Boolean::Is(ref v), ) => { assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedTrue, OperandType::NegatedAllocatedTrue, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedTrue, OperandType::NegatedAllocatedFalse, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } - (OperandType::AllocatedFalse, OperandType::True, Boolean::Constant(true)) => {}, - (OperandType::AllocatedFalse, OperandType::False, Boolean::Is(_)) => {}, + (OperandType::AllocatedFalse, OperandType::True, Boolean::Constant(true)) => {} + (OperandType::AllocatedFalse, OperandType::False, Boolean::Is(_)) => {} ( OperandType::AllocatedFalse, OperandType::AllocatedTrue, Boolean::Is(ref v), ) => { assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedFalse, OperandType::AllocatedFalse, Boolean::Is(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedFalse, OperandType::NegatedAllocatedTrue, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedFalse, OperandType::NegatedAllocatedFalse, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::True, Boolean::Constant(true), - ) => {}, - (OperandType::NegatedAllocatedTrue, OperandType::False, Boolean::Not(_)) => {}, + ) => {} + (OperandType::NegatedAllocatedTrue, OperandType::False, Boolean::Not(_)) => {} ( OperandType::NegatedAllocatedTrue, OperandType::AllocatedTrue, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::AllocatedFalse, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(true)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedTrue, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(true)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedFalse, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::True, Boolean::Constant(true), - ) => {}, - (OperandType::NegatedAllocatedFalse, OperandType::False, Boolean::Not(_)) => {}, + ) => {} + (OperandType::NegatedAllocatedFalse, OperandType::False, Boolean::Not(_)) => {} ( OperandType::NegatedAllocatedFalse, OperandType::AllocatedTrue, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::AllocatedFalse, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedTrue, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedFalse, Boolean::Not(ref v), ) => { assert_eq!(v.value, Some(false)); - }, + } _ => panic!( "this should never be encountered, in case: (a = {:?}, b = {:?}, c = {:?})",

@@ -1710,16 +1710,16 @@ OperandType::True => Boolean::constant(true),

OperandType::False => Boolean::constant(false), OperandType::AllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()) - }, + } OperandType::AllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()) - }, + } OperandType::NegatedAllocatedTrue => { Boolean::from(AllocatedBit::alloc(cs, || Ok(true)).unwrap()).not() - }, + } OperandType::NegatedAllocatedFalse => { Boolean::from(AllocatedBit::alloc(cs, || Ok(false)).unwrap()).not() - }, + } } };

@@ -1732,33 +1732,31 @@

assert!(cs.is_satisfied()); match (first_operand, second_operand, c) { - (OperandType::True, OperandType::True, Boolean::Constant(true)) => {}, - (OperandType::True, OperandType::False, Boolean::Constant(false)) => {}, - (OperandType::True, OperandType::AllocatedTrue, Boolean::Is(_)) => {}, - (OperandType::True, OperandType::AllocatedFalse, Boolean::Is(_)) => {}, - (OperandType::True, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {}, - (OperandType::True, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {}, + (OperandType::True, OperandType::True, Boolean::Constant(true)) => {} + (OperandType::True, OperandType::False, Boolean::Constant(false)) => {} + (OperandType::True, OperandType::AllocatedTrue, Boolean::Is(_)) => {} + (OperandType::True, OperandType::AllocatedFalse, Boolean::Is(_)) => {} + (OperandType::True, OperandType::NegatedAllocatedTrue, Boolean::Not(_)) => {} + (OperandType::True, OperandType::NegatedAllocatedFalse, Boolean::Not(_)) => {} - (OperandType::False, OperandType::True, Boolean::Constant(false)) => {}, - (OperandType::False, OperandType::False, Boolean::Constant(false)) => {}, - (OperandType::False, OperandType::AllocatedTrue, Boolean::Constant(false)) => { - }, + (OperandType::False, OperandType::True, Boolean::Constant(false)) => {} + (OperandType::False, OperandType::False, Boolean::Constant(false)) => {} + (OperandType::False, OperandType::AllocatedTrue, Boolean::Constant(false)) => {} (OperandType::False, OperandType::AllocatedFalse, Boolean::Constant(false)) => { - }, + } ( OperandType::False, OperandType::NegatedAllocatedTrue, Boolean::Constant(false), - ) => {}, + ) => {} ( OperandType::False, OperandType::NegatedAllocatedFalse, Boolean::Constant(false), - ) => {}, + ) => {} - (OperandType::AllocatedTrue, OperandType::True, Boolean::Is(_)) => {}, - (OperandType::AllocatedTrue, OperandType::False, Boolean::Constant(false)) => { - }, + (OperandType::AllocatedTrue, OperandType::True, Boolean::Is(_)) => {} + (OperandType::AllocatedTrue, OperandType::False, Boolean::Constant(false)) => {} ( OperandType::AllocatedTrue, OperandType::AllocatedTrue,

@@ -1766,7 +1764,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::AllocatedTrue, OperandType::AllocatedFalse,

@@ -1774,7 +1772,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedTrue, OperandType::NegatedAllocatedTrue,

@@ -1782,7 +1780,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedTrue, OperandType::NegatedAllocatedFalse,

@@ -1790,11 +1788,11 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } - (OperandType::AllocatedFalse, OperandType::True, Boolean::Is(_)) => {}, + (OperandType::AllocatedFalse, OperandType::True, Boolean::Is(_)) => {} (OperandType::AllocatedFalse, OperandType::False, Boolean::Constant(false)) => { - }, + } ( OperandType::AllocatedFalse, OperandType::AllocatedTrue,

@@ -1802,7 +1800,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedFalse, OperandType::AllocatedFalse,

@@ -1810,7 +1808,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedFalse, OperandType::NegatedAllocatedTrue,

@@ -1818,7 +1816,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::AllocatedFalse, OperandType::NegatedAllocatedFalse,

@@ -1826,14 +1824,14 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } - (OperandType::NegatedAllocatedTrue, OperandType::True, Boolean::Not(_)) => {}, + (OperandType::NegatedAllocatedTrue, OperandType::True, Boolean::Not(_)) => {} ( OperandType::NegatedAllocatedTrue, OperandType::False, Boolean::Constant(false), - ) => {}, + ) => {} ( OperandType::NegatedAllocatedTrue, OperandType::AllocatedTrue,

@@ -1841,7 +1839,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::AllocatedFalse,

@@ -1849,7 +1847,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedTrue,

@@ -1857,7 +1855,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("nor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedTrue, OperandType::NegatedAllocatedFalse,

@@ -1865,14 +1863,14 @@ Boolean::Is(ref v),

) => { assert!(cs.get("nor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } - (OperandType::NegatedAllocatedFalse, OperandType::True, Boolean::Not(_)) => {}, + (OperandType::NegatedAllocatedFalse, OperandType::True, Boolean::Not(_)) => {} ( OperandType::NegatedAllocatedFalse, OperandType::False, Boolean::Constant(false), - ) => {}, + ) => {} ( OperandType::NegatedAllocatedFalse, OperandType::AllocatedTrue,

@@ -1880,7 +1878,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::AllocatedFalse,

@@ -1888,7 +1886,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("and not result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedTrue,

@@ -1896,7 +1894,7 @@ Boolean::Is(ref v),

) => { assert!(cs.get("nor result") == Fr::zero()); assert_eq!(v.value, Some(false)); - }, + } ( OperandType::NegatedAllocatedFalse, OperandType::NegatedAllocatedFalse,

@@ -1904,14 +1902,14 @@ Boolean::Is(ref v),

) => { assert!(cs.get("nor result") == Fr::one()); assert_eq!(v.value, Some(true)); - }, + } _ => { panic!( "unexpected behavior at {:?} AND {:?}", first_operand, second_operand ); - }, + } } } }

@@ -2072,7 +2070,7 @@

match r { Boolean::Is(ref r) => { assert_eq!(r.value.unwrap(), expected); - }, + } _ => unreachable!(), } }
M r1cs-std/src/bits/uint32.rs → r1cs-std/src/bits/uint32.rs

@@ -13,7 +13,7 @@ /// unsigned integer.

#[derive(Clone, Debug)] pub struct UInt32 { // Least significant bit_gadget first - bits: Vec<Boolean>, + bits: Vec<Boolean>, value: Option<u32>, }

@@ -55,7 +55,7 @@ val >>= 1;

} v - }, + } None => vec![None; 32], };

@@ -94,19 +94,19 @@ &Boolean::Constant(b) => {

if b { value.as_mut().map(|v| *v |= 1); } - }, + } &Boolean::Is(ref b) => match b.get_value() { Some(true) => { value.as_mut().map(|v| *v |= 1); - }, - Some(false) => {}, + } + Some(false) => {} None => value = None, }, &Boolean::Not(ref b) => match b.get_value() { Some(false) => { value.as_mut().map(|v| *v |= 1); - }, - Some(true) => {}, + } + Some(true) => {} None => value = None, }, }

@@ -128,7 +128,7 @@ .cloned()

.collect(); UInt32 { - bits: new_bits, + bits: new_bits, value: self.value.map(|v| v.rotate_right(by as u32)), } }

@@ -193,12 +193,12 @@ // Accumulate the value

match op.value { Some(val) => { result_value.as_mut().map(|v| *v += u64::from(val)); - }, + } None => { // If any of our operands have unknown value, we won't // know the value of the result result_value = None; - }, + } } // Iterate over each bit_gadget of the operand and add the operand to

@@ -211,18 +211,18 @@ all_constants = false;

// Add coeff * bit_gadget lc += (coeff, bit.get_variable()); - }, + } Boolean::Not(ref bit) => { all_constants = false; // Add coeff * (1 - bit_gadget) = coeff * ONE - coeff * bit_gadget lc = lc + (coeff, CS::one()) - (coeff, bit.get_variable()); - }, + } Boolean::Constant(bit) => { if bit { lc += (coeff, CS::one()); } - }, + } } coeff.double_in_place();

@@ -269,7 +269,7 @@ // Discard carry bits that we don't care about

result_bits.truncate(32); Ok(UInt32 { - bits: result_bits, + bits: result_bits, value: modular_value, }) }

@@ -298,7 +298,7 @@ };

let mut bytes = Vec::new(); for (i, chunk8) in self.to_bits_le().chunks(8).enumerate() { let byte = UInt8 { - bits: chunk8.to_vec(), + bits: chunk8.to_vec(), value: value_chunks[i], }; bytes.push(byte);

@@ -362,7 +362,7 @@ for (i, bit_gadget) in b.bits.iter().enumerate() {

match bit_gadget { &Boolean::Constant(bit_gadget) => { assert!(bit_gadget == ((b.value.unwrap() >> i) & 1 == 1)); - }, + } _ => unreachable!(), } }

@@ -371,8 +371,8 @@ let expected_to_be_same = b.to_bits_le();

for x in v.iter().zip(expected_to_be_same.iter()) { match x { - (&Boolean::Constant(true), &Boolean::Constant(true)) => {}, - (&Boolean::Constant(false), &Boolean::Constant(false)) => {}, + (&Boolean::Constant(true), &Boolean::Constant(true)) => {} + (&Boolean::Constant(false), &Boolean::Constant(false)) => {} _ => unreachable!(), } }

@@ -407,13 +407,13 @@ for b in r.bits.iter() {

match b { &Boolean::Is(ref b) => { assert!(b.get_value().unwrap() == (expected & 1 == 1)); - }, + } &Boolean::Not(ref b) => { assert!(!b.get_value().unwrap() == (expected & 1 == 1)); - }, + } &Boolean::Constant(b) => { assert!(b == (expected & 1 == 1)); - }, + } } expected >>= 1;

@@ -448,7 +448,7 @@ &Boolean::Is(_) => panic!(),

&Boolean::Not(_) => panic!(), &Boolean::Constant(b) => { assert!(b == (expected & 1 == 1)); - }, + } } expected >>= 1;

@@ -486,10 +486,10 @@ for b in r.bits.iter() {

match b { &Boolean::Is(ref b) => { assert!(b.get_value().unwrap() == (expected & 1 == 1)); - }, + } &Boolean::Not(ref b) => { assert!(!b.get_value().unwrap() == (expected & 1 == 1)); - }, + } &Boolean::Constant(_) => unreachable!(), }

@@ -525,7 +525,7 @@ for b in &b.bits {

match b { &Boolean::Constant(b) => { assert_eq!(b, tmp & 1 == 1); - }, + } _ => unreachable!(), }
M r1cs-std/src/bits/uint64.rs → r1cs-std/src/bits/uint64.rs

@@ -14,7 +14,7 @@ /// unsigned integer.

#[derive(Clone, Debug)] pub struct UInt64 { // Least significant bit_gadget first - bits: Vec<Boolean>, + bits: Vec<Boolean>, value: Option<u64>, }

@@ -56,7 +56,7 @@ val >>= 1;

} v - } + }, None => vec![None; 64], };

@@ -95,19 +95,19 @@ &Boolean::Constant(b) => {

if b { value.as_mut().map(|v| *v |= 1); } - } + }, &Boolean::Is(ref b) => match b.get_value() { Some(true) => { value.as_mut().map(|v| *v |= 1); - } - Some(false) => {} + }, + Some(false) => {}, None => value = None, }, &Boolean::Not(ref b) => match b.get_value() { Some(false) => { value.as_mut().map(|v| *v |= 1); - } - Some(true) => {} + }, + Some(true) => {}, None => value = None, }, }

@@ -129,7 +129,7 @@ .cloned()

.collect(); UInt64 { - bits: new_bits, + bits: new_bits, value: self.value.map(|v| v.rotate_right(by as u32)), } }

@@ -194,12 +194,12 @@ // Accumulate the value

match op.value { Some(val) => { result_value.as_mut().map(|v| *v += u128::from(val)); - } + }, None => { // If any of our operands have unknown value, we won't // know the value of the result result_value = None; - } + }, } // Iterate over each bit_gadget of the operand and add the operand to

@@ -212,18 +212,18 @@ all_constants = false;

// Add coeff * bit_gadget lc += (coeff, bit.get_variable()); - } + }, Boolean::Not(ref bit) => { all_constants = false; // Add coeff * (1 - bit_gadget) = coeff * ONE - coeff * bit_gadget lc = lc + (coeff, CS::one()) - (coeff, bit.get_variable()); - } + }, Boolean::Constant(bit) => { if bit { lc += (coeff, CS::one()); } - } + }, } coeff.double_in_place();

@@ -270,7 +270,7 @@ // Discard carry bits that we don't care about

result_bits.truncate(64); Ok(UInt64 { - bits: result_bits, + bits: result_bits, value: modular_value, }) }

@@ -330,7 +330,7 @@ };

let mut bytes = Vec::new(); for (i, chunk8) in self.to_bits_le().chunks(8).enumerate() { let byte = UInt8 { - bits: chunk8.to_vec(), + bits: chunk8.to_vec(), value: value_chunks[i], }; bytes.push(byte);

@@ -397,7 +397,7 @@ for (i, bit_gadget) in b.bits.iter().enumerate() {

match bit_gadget { &Boolean::Constant(bit_gadget) => { assert!(bit_gadget == ((b.value.unwrap() >> i) & 1 == 1)); - } + }, _ => unreachable!(), } }

@@ -406,8 +406,8 @@ let expected_to_be_same = b.to_bits_le();

for x in v.iter().zip(expected_to_be_same.iter()) { match x { - (&Boolean::Constant(true), &Boolean::Constant(true)) => {} - (&Boolean::Constant(false), &Boolean::Constant(false)) => {} + (&Boolean::Constant(true), &Boolean::Constant(true)) => {}, + (&Boolean::Constant(false), &Boolean::Constant(false)) => {}, _ => unreachable!(), } }

@@ -442,13 +442,13 @@ for b in r.bits.iter() {

match b { &Boolean::Is(ref b) => { assert!(b.get_value().unwrap() == (expected & 1 == 1)); - } + }, &Boolean::Not(ref b) => { assert!(!b.get_value().unwrap() == (expected & 1 == 1)); - } + }, &Boolean::Constant(b) => { assert!(b == (expected & 1 == 1)); - } + }, } expected >>= 1;

@@ -483,7 +483,7 @@ &Boolean::Is(_) => panic!(),

&Boolean::Not(_) => panic!(), &Boolean::Constant(b) => { assert!(b == (expected & 1 == 1)); - } + }, } expected >>= 1;

@@ -521,10 +521,10 @@ for b in r.bits.iter() {

match b { &Boolean::Is(ref b) => { assert!(b.get_value().unwrap() == (expected & 1 == 1)); - } + }, &Boolean::Not(ref b) => { assert!(!b.get_value().unwrap() == (expected & 1 == 1)); - } + }, &Boolean::Constant(_) => unreachable!(), }

@@ -560,7 +560,7 @@ for b in &b.bits {

match b { &Boolean::Constant(b) => { assert_eq!(b, tmp & 1 == 1); - } + }, _ => unreachable!(), }
M r1cs-std/src/bits/uint8.rs → r1cs-std/src/bits/uint8.rs

@@ -10,7 +10,7 @@ /// unsigned integer.

#[derive(Clone, Debug)] pub struct UInt8 { // Least significant bit_gadget first - pub(crate) bits: Vec<Boolean>, + pub(crate) bits: Vec<Boolean>, pub(crate) value: Option<u8>, }

@@ -134,19 +134,19 @@ Boolean::Constant(b) => {

if b { value.as_mut().map(|v| *v |= 1); } - }, + } Boolean::Is(ref b) => match b.get_value() { Some(true) => { value.as_mut().map(|v| *v |= 1); - }, - Some(false) => {}, + } + Some(false) => {} None => value = None, }, Boolean::Not(ref b) => match b.get_value() { Some(false) => { value.as_mut().map(|v| *v |= 1); - }, - Some(true) => {}, + } + Some(true) => {} None => value = None, }, }

@@ -233,7 +233,7 @@ val >>= 1;

} v - }, + } _ => vec![None; 8], };

@@ -272,7 +272,7 @@ val >>= 1;

} v - }, + } _ => vec![None; 8], };

@@ -342,7 +342,7 @@ for (i, bit_gadget) in b.bits.iter().enumerate() {

match bit_gadget { &Boolean::Constant(bit_gadget) => { assert!(bit_gadget == ((b.value.unwrap() >> i) & 1 == 1)); - }, + } _ => unreachable!(), } }

@@ -351,8 +351,8 @@ let expected_to_be_same = b.into_bits_le();

for x in v.iter().zip(expected_to_be_same.iter()) { match x { - (&Boolean::Constant(true), &Boolean::Constant(true)) => {}, - (&Boolean::Constant(false), &Boolean::Constant(false)) => {}, + (&Boolean::Constant(true), &Boolean::Constant(true)) => {} + (&Boolean::Constant(false), &Boolean::Constant(false)) => {} _ => unreachable!(), } }

@@ -387,13 +387,13 @@ for b in r.bits.iter() {

match b { &Boolean::Is(ref b) => { assert!(b.get_value().unwrap() == (expected & 1 == 1)); - }, + } &Boolean::Not(ref b) => { assert!(!b.get_value().unwrap() == (expected & 1 == 1)); - }, + } &Boolean::Constant(b) => { assert!(b == (expected & 1 == 1)); - }, + } } expected >>= 1;
M r1cs-std/src/fields/fp/cmp.rs → r1cs-std/src/fields/fp/cmp.rs

@@ -111,14 +111,14 @@ match ordering {

Ordering::Less => { left = a; right = b; - }, + } Ordering::Greater => { left = b; right = a; - }, + } Ordering::Equal => { return Err(SynthesisError::Unsatisfiable); - }, + } }; let right_for_check = if should_also_check_equality { right.add_constant(cs.ns(|| "plus one"), &F::one())?

@@ -252,7 +252,7 @@ Ordering::Less,

true, ) .unwrap(); - }, + } Ordering::Greater => { a_var .enforce_cmp(

@@ -270,8 +270,8 @@ Ordering::Greater,

true, ) .unwrap(); - }, - _ => {}, + } + _ => {} } if i == 0 {

@@ -300,7 +300,7 @@ Ordering::Less,

true, ) .unwrap(); - }, + } Ordering::Greater => { a_var .enforce_cmp(

@@ -318,8 +318,8 @@ Ordering::Greater,

true, ) .unwrap(); - }, - _ => {}, + } + _ => {} } assert!(!cs.is_satisfied());
M r1cs-std/src/fields/fp/mod.rs → r1cs-std/src/fields/fp/mod.rs

@@ -13,7 +13,7 @@ pub mod cmp;

#[derive(Debug)] pub struct FpGadget<F: PrimeField> { - pub value: Option<F>, + pub value: Option<F>, pub variable: ConstraintVar<F>, }

@@ -364,7 +364,7 @@

assert_eq!(tmp.len(), num_bits as usize); tmp - }, + } None => vec![None; num_bits as usize], };

@@ -422,7 +422,7 @@ None => {

let default = F::default(); let default_len = to_bytes![&default].unwrap().len(); vec![None; default_len] - }, + } }; let bytes = UInt8::alloc_vec(cs.ns(|| "Alloc bytes"), &byte_values)?;

@@ -438,7 +438,7 @@ match bit {

Boolean::Is(bit) => { lc += (coeff, bit.get_variable()); coeff.double_in_place(); - }, + } Boolean::Constant(_) | Boolean::Not(_) => unreachable!(), } }

@@ -577,7 +577,7 @@

impl<F: PrimeField> Clone for FpGadget<F> { fn clone(&self) -> Self { Self { - value: self.value.clone(), + value: self.value.clone(), variable: self.variable.clone(), } }
M r1cs-std/src/fields/fp12.rs → r1cs-std/src/fields/fp12.rs

@@ -6,11 +6,11 @@ fp12_2over3over2::{Fp12, Fp12Parameters},

fp6_3over2::{Fp6, Fp6Parameters}, Fp2Parameters, }, - BitIterator, Field, One, PrimeField, + BitIterator, PrimeField, }; use core::{borrow::Borrow, marker::PhantomData}; -use crate::{prelude::*, Assignment, Vec}; +use crate::{prelude::*, Vec}; type Fp2Gadget<P, ConstraintF> = super::fp2::Fp2Gadget< <<P as Fp12Parameters>::Fp6Params as Fp6Parameters>::Fp2Params,

@@ -31,8 +31,8 @@ where

P: Fp12Parameters, <P::Fp6Params as Fp6Parameters>::Fp2Params: Fp2Parameters<Fp = ConstraintF>, { - pub c0: Fp6Gadget<P, ConstraintF>, - pub c1: Fp6Gadget<P, ConstraintF>, + pub c0: Fp6Gadget<P, ConstraintF>, + pub c1: Fp6Gadget<P, ConstraintF>, #[derivative(Debug = "ignore")] _params: PhantomData<P>, }

@@ -546,47 +546,6 @@ .mul_by_constant_in_place(cs.ns(|| "mul3"), &P::FROBENIUS_COEFF_FP12_C1[power % 12])?;

Ok(self) } - fn inverse<CS: ConstraintSystem<ConstraintF>>( - &self, - mut cs: CS, - ) -> Result<Self, SynthesisError> { - let inverse = Self::alloc(&mut cs.ns(|| "alloc inverse"), || { - self.get_value().and_then(|val| val.inverse()).get() - })?; - - // Karatsuba multiplication for Fp2 with the inverse: - // v0 = A.c0 * B.c0 - // v1 = A.c1 * B.c1 - // - // 1 = v0 + non_residue * v1 - // => v0 = 1 - non_residue * v1 - // - // 0 = result.c1 = (A.c0 + A.c1) * (B.c0 + B.c1) - v0 - v1 - // => v0 + v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Enforced with 2 constraints: - // A.c1 * B.c1 = v1 - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Reference: - // "Multiplication and Squaring on Pairing-Friendly Fields" - // Devegili, OhEigeartaigh, Scott, Dahab - - // Constraint 1 - let v1 = self.c1.mul(cs.ns(|| "inv_constraint_1"), &inverse.c1)?; - - // Constraint 2 - let a0_plus_a1 = self.c0.add(cs.ns(|| "a0 + a1"), &self.c1)?; - let b0_plus_b1 = inverse.c0.add(cs.ns(|| "b0 + b1"), &inverse.c1)?; - - let one = Fp6::<P::Fp6Params>::one(); - let rhs = Self::mul_fp6_by_nonresidue(cs.ns(|| "nr * v1"), &v1)? - .sub(cs.ns(|| "sub v1"), &v1)? - .negate(cs.ns(|| "negate it"))? - .add_constant(cs.ns(|| "add one"), &one)?; - a0_plus_a1.mul_equals(cs.ns(|| "inv_constraint_2"), &b0_plus_b1, &rhs)?; - Ok(inverse) - } - fn mul_equals<CS: ConstraintSystem<ConstraintF>>( &self, mut cs: CS,

@@ -639,15 +598,11 @@ Ok(())

} fn cost_of_mul() -> usize { - unimplemented!() + 3 * Fp6Gadget::<P, ConstraintF>::cost_of_mul() } fn cost_of_mul_equals() -> usize { Self::cost_of_mul() - } - - fn cost_of_inv() -> usize { - Self::cost_of_mul() + <Self as EqGadget<ConstraintF>>::cost() } }

@@ -892,7 +847,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -917,7 +872,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/fields/fp2.rs → r1cs-std/src/fields/fp2.rs

@@ -1,18 +1,18 @@

use algebra::{ fields::{Fp2, Fp2Parameters}, - Field, PrimeField, + PrimeField, }; use core::{borrow::Borrow, marker::PhantomData}; use r1cs_core::{ConstraintSystem, ConstraintVar, SynthesisError}; -use crate::{fields::fp::FpGadget, prelude::*, Assignment, Vec}; +use crate::{fields::fp::FpGadget, prelude::*, Vec}; #[derive(Derivative)] #[derivative(Debug(bound = "P: Fp2Parameters, ConstraintF: PrimeField"))] #[must_use] pub struct Fp2Gadget<P: Fp2Parameters<Fp = ConstraintF>, ConstraintF: PrimeField> { - pub c0: FpGadget<ConstraintF>, - pub c1: FpGadget<ConstraintF>, + pub c0: FpGadget<ConstraintF>, + pub c1: FpGadget<ConstraintF>, #[derivative(Debug = "ignore")] _params: PhantomData<P>, }

@@ -289,47 +289,6 @@

Ok(self) } - #[inline] - fn inverse<CS: ConstraintSystem<ConstraintF>>( - &self, - mut cs: CS, - ) -> Result<Self, SynthesisError> { - let inverse = Self::alloc(&mut cs.ns(|| "alloc inverse"), || { - self.get_value().and_then(|val| val.inverse()).get() - })?; - - // Karatsuba multiplication for Fp2 with the inverse: - // v0 = A.c0 * B.c0 - // v1 = A.c1 * B.c1 - // - // 1 = v0 + non_residue * v1 - // => v0 = 1 - non_residue * v1 - // - // 0 = result.c1 = (A.c0 + A.c1) * (B.c0 + B.c1) - v0 - v1 - // => v0 + v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Enforced with 2 constraints: - // A.c1 * B.c1 = v1 - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Reference: - // "Multiplication and Squaring on Pairing-Friendly Fields" - // Devegili, OhEigeartaigh, Scott, Dahab - - // Constraint 1 - let mut v1 = self.c1.mul(cs.ns(|| "inv_constraint_1"), &inverse.c1)?; - - // Constraint 2 - let a0_plus_a1 = self.c0.add(cs.ns(|| "a0 + a1"), &self.c1)?; - let b0_plus_b1 = inverse.c0.add(cs.ns(|| "b0 + b1"), &inverse.c1)?; - - let one = P::Fp::one(); - let rhs = v1 - .mul_by_constant_in_place(cs.ns(|| "(1 - nonresidue) * v1"), &(one - &P::NONRESIDUE))? - .add_constant_in_place(cs.ns(|| "add one"), &one)?; - a0_plus_a1.mul_equals(cs.ns(|| "inv_constraint_2"), &b0_plus_b1, rhs)?; - Ok(inverse) - } - fn mul_equals<CS: ConstraintSystem<ConstraintF>>( &self, mut cs: CS,

@@ -450,16 +409,12 @@ Ok(Self::new(c0, c1))

} fn cost_of_mul() -> usize { - 3 + 3 * FpGadget::<ConstraintF>::cost_of_mul() } fn cost_of_mul_equals() -> usize { Self::cost_of_mul() } - - fn cost_of_inv() -> usize { - 2 - } } impl<P: Fp2Parameters<Fp = ConstraintF>, ConstraintF: PrimeField> PartialEq

@@ -571,8 +526,8 @@ for Fp2Gadget<P, ConstraintF>

{ fn clone(&self) -> Self { Self { - c0: self.c0.clone(), - c1: self.c1.clone(), + c0: self.c0.clone(), + c1: self.c1.clone(), _params: PhantomData, } }

@@ -669,7 +624,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -694,7 +649,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/fields/fp3.rs → r1cs-std/src/fields/fp3.rs

@@ -1,14 +1,11 @@

use algebra::{ - fields::{ - fp3::{Fp3, Fp3Parameters}, - Field, - }, + fields::fp3::{Fp3, Fp3Parameters}, PrimeField, SquareRootField, }; use core::{borrow::Borrow, marker::PhantomData}; use r1cs_core::{ConstraintSystem, ConstraintVar, SynthesisError}; -use crate::{fields::fp::FpGadget, prelude::*, Assignment, Vec}; +use crate::{fields::fp::FpGadget, prelude::*, Vec}; #[derive(Derivative)] #[derivative(Debug(

@@ -17,9 +14,9 @@ ))]

#[must_use] pub struct Fp3Gadget<P: Fp3Parameters<Fp = ConstraintF>, ConstraintF: PrimeField + SquareRootField> { - pub c0: FpGadget<ConstraintF>, - pub c1: FpGadget<ConstraintF>, - pub c2: FpGadget<ConstraintF>, + pub c0: FpGadget<ConstraintF>, + pub c1: FpGadget<ConstraintF>, + pub c2: FpGadget<ConstraintF>, #[derivative(Debug = "ignore")] _params: PhantomData<P>, }

@@ -40,6 +37,7 @@ c2,

_params: PhantomData, } } + /// Multiply a FpGadget by quadratic nonresidue P::NONRESIDUE. #[inline] pub fn mul_fp_gadget_by_nonresidue<CS: ConstraintSystem<ConstraintF>>(

@@ -332,120 +330,113 @@

Ok(Self::new(c0, c1, c2)) } - /// Use the Toom-Cook-3x method to compute multiplication. #[inline] - fn square<CS: ConstraintSystem<ConstraintF>>( + fn mul_equals<CS: ConstraintSystem<ConstraintF>>( &self, mut cs: CS, - ) -> Result<Self, SynthesisError> { - // Uses Toom-Cook-3x multiplication from + other: &Self, + result: &Self, + ) -> Result<(), SynthesisError> { + // Karatsuba multiplication for Fp3: + // v0 = A.c0 * B.c0 + // v1 = A.c1 * B.c1 + // v2 = A.c2 * B.c2 + // result.c0 = v0 + β((a1 + a2)(b1 + b2) − v1 − v2) + // result.c1 = (a0 + a1)(b0 + b1) − v0 − v1 + βv2 + // result.c2 = (a0 + a2)(b0 + b2) − v0 + v1 − v2, + // We enforce this with six constraints: + // + // v0 = A.c0 * B.c0 + // v1 = A.c1 * B.c1 + // v2 = A.c2 * B.c2 // + // result.c0 - v0 + \beta*(v1 + v2) = β(a1 + a2)(b1 + b2)) + // result.c1 + v0 + v1 - βv2 = (a0 + a1)(b0 + b1) + // result.c2 + v0 - v1 + v2 = (a0 + a2)(b0 + b2) // Reference: // "Multiplication and Squaring on Pairing-Friendly Fields" - // Devegili, OhEigeartaigh, Scott, Dahab + // Devegili, OhEigeartaigh, Scott, Dahab + // + // This implementation adapted from + // https://github.com/ZencashOfficial/ginger-lib/blob/development/r1cs/gadgets/std/src/fields/fp3.rs + let v0 = self.c0.mul(cs.ns(|| "v0 = a0 * b0"), &other.c0)?; + let v1 = self.c1.mul(cs.ns(|| "v1 = a1 * b1"), &other.c1)?; + let v2 = self.c2.mul(cs.ns(|| "v2 = a2 * b2"), &other.c2)?; - // v0 = a(0)^2 = a0^2 - let v0 = self.c0.square(&mut cs.ns(|| "Calc v0"))?; + // Check c0 + let nr_a1_plus_a2 = self + .c1 + .add(cs.ns(|| "a1 + a2"), &self.c2)? + .mul_by_constant(cs.ns(|| "nr*(a1 + a2)"), &P::NONRESIDUE)?; + let b1_plus_b2 = other.c1.add(cs.ns(|| "b1 + b2"), &other.c2)?; + let nr_v1 = v1.mul_by_constant(cs.ns(|| "nr * v1"), &P::NONRESIDUE)?; + let nr_v2 = v2.mul_by_constant(cs.ns(|| "nr * v2"), &P::NONRESIDUE)?; + let to_check = result + .c0 + .sub(cs.ns(|| "c0 - v0"), &v0)? + .add(cs.ns(|| "c0 - v0 + nr * v1"), &nr_v1)? + .add(cs.ns(|| "c0 - v0 + nr * v1 + nr * v2"), &nr_v2)?; + nr_a1_plus_a2.mul_equals(cs.ns(|| "check c0"), &b1_plus_b2, &to_check)?; - // v1 = a(1)^2 = (a0 + a1 + a2)^2 - let v1 = { - let a0_plus_a1_plus_a2 = self - .c0 - .add(cs.ns(|| "a0 + a1"), &self.c1)? - .add(cs.ns(|| "a0 + a1 + a2"), &self.c2)?; - a0_plus_a1_plus_a2.square(&mut cs.ns(|| "(a0 + a1 + a2)^2"))? - }; + // Check c1 + let a0_plus_a1 = self.c0.add(cs.ns(|| "a0 + a1"), &self.c1)?; + let b0_plus_b1 = other.c0.add(cs.ns(|| "b0 + b1"), &other.c1)?; + let to_check = result + .c1 + .sub(cs.ns(|| "c1 - nr * v2"), &nr_v2)? + .add(cs.ns(|| "c1 - nr * v2 + v0"), &v0)? + .add(cs.ns(|| "c1 - nr * v2 + v0 + v1"), &v1)?; + a0_plus_a1.mul_equals(cs.ns(|| "check c1"), &b0_plus_b1, &to_check)?; - // v2 = a(−1)^2 = (a0 − a1 + a2)^2 - let v2 = { - let a0_minus_a1_plus_a2 = self - .c0 - .sub(cs.ns(|| "a0 - a1"), &self.c1)? - .add(cs.ns(|| "a0 - a2 + a2"), &self.c2)?; - a0_minus_a1_plus_a2.square(&mut cs.ns(|| "(a0 - a1 + a2)^2"))? - }; + // Check c2 + let a0_plus_a2 = self.c0.add(cs.ns(|| "a0 + a2"), &self.c2)?; + let b0_plus_b2 = other.c0.add(cs.ns(|| "b0 + b2"), &other.c2)?; + let to_check = result + .c2 + .add(cs.ns(|| "c2 + v0"), &v0)? + .sub(cs.ns(|| "c2 + v0 - v1"), &v1)? + .add(cs.ns(|| "c2 + v0 - v1 + v2"), &v2)?; + a0_plus_a2.mul_equals(cs.ns(|| "check c2"), &b0_plus_b2, &to_check)?; + Ok(()) + } - // v3 = a(2)^2 = (a0 + 2a1 + 4a2)^2 - let v3 = { - let a1_double = self.c1.double(cs.ns(|| "2a1"))?; - let a2_quad = self.c2.double(cs.ns(|| "2a2"))?.double(cs.ns(|| "4a2"))?; - let a0_plus_2_a1_plus_4_a2 = self - .c0 - .add(cs.ns(|| "a0 + 2a1"), &a1_double)? - .add(cs.ns(|| "a0 + 2a1 + 4a2"), &a2_quad)?; + /// Use the Chung-Hasan asymmetric squaring formula. + /// + /// (Devegili OhEig Scott Dahab --- Multiplication and Squaring on + /// Abstract Pairing-Friendly + /// Fields.pdf; Section 4 (CH-SQR2)) + #[inline] + fn square<CS: ConstraintSystem<ConstraintF>>( + &self, + mut cs: CS, + ) -> Result<Self, SynthesisError> { + let a = self.c0.clone(); + let b = self.c1.clone(); + let c = self.c2.clone(); - a0_plus_2_a1_plus_4_a2.square(&mut cs.ns(|| "(a0 + 2a1 + 4a2)^2"))? - }; + let s0 = a.square(cs.ns(|| "s0"))?; + let ab = a.mul(cs.ns(|| "ab"), &b)?; + let s1 = ab.double(cs.ns(|| "s1"))?; + let s2 = a + .sub(cs.ns(|| "a-b"), &b)? + .add(cs.ns(|| "plus c"), &c)? + .square(cs.ns(|| "s2"))?; + let s3 = b.mul(cs.ns(|| "bc"), &c)?.double(cs.ns(|| "s3"))?; + let s4 = c.square(cs.ns(|| "s4"))?; - // v4 = a(∞)^2 = a2^2 - let v4 = self.c2.square(&mut cs.ns(|| "a2^2"))?; + let c0 = Self::mul_fp_gadget_by_nonresidue(cs.ns(|| "c0 part 1"), &s3)? + .add(cs.ns(|| "c0"), &s0)?; - let two = P::Fp::one().double(); - let six = two.double() + &two; - let mut two_and_six = [two, six]; - algebra::fields::batch_inversion(&mut two_and_six); - let (two_inverse, six_inverse) = (two_and_six[0], two_and_six[1]); + let c1 = Self::mul_fp_gadget_by_nonresidue(cs.ns(|| "c1 part 1"), &s4)? + .add(cs.ns(|| "c1"), &s1)?; - let half_v0 = v0.mul_by_constant(cs.ns(|| "half_v0"), &two_inverse)?; - let half_v1 = v1.mul_by_constant(cs.ns(|| "half_v1"), &two_inverse)?; - let one_sixth_v2 = v2.mul_by_constant(cs.ns(|| "one_sixth_v2"), &six_inverse)?; - let one_sixth_v3 = v3.mul_by_constant(cs.ns(|| "one_sixth_v3"), &six_inverse)?; - let two_v4 = v4.double(cs.ns(|| "double_v4"))?; - - // c0 = v0 + β((1/2)v0 − (1/2)v1 − (1/6)v2 + (1/6)v3 − 2v4) - let c0 = { - let mut c0_cs = cs.ns(|| "c0"); - // No constraints, only get a linear combination back. - let inner = half_v0 - .sub(c0_cs.ns(|| "sub1"), &half_v1)? - .sub(c0_cs.ns(|| "sub2"), &one_sixth_v2)? - .add(c0_cs.ns(|| "add3"), &one_sixth_v3)? - .sub(c0_cs.ns(|| "sub4"), &two_v4)?; - let non_residue_times_inner = - inner.mul_by_constant(c0_cs.ns(|| "mul_by_res"), &P::NONRESIDUE)?; - v0.add(c0_cs.ns(|| "add5"), &non_residue_times_inner)? - }; - - // −(1/2)v0 + v1 − (1/3)v2 − (1/6)v3 + 2v4 + βv4 - let c1 = { - let mut c1_cs = cs.ns(|| "c1"); - let one_third_v2 = one_sixth_v2.double(c1_cs.ns(|| "v2_by_3"))?; - let non_residue_v4 = v4.mul_by_constant(c1_cs.ns(|| "mul_by_res"), &P::NONRESIDUE)?; - - half_v0 - .negate(c1_cs.ns(|| "neg1"))? - .add(c1_cs.ns(|| "add1"), &v1)? - .sub(c1_cs.ns(|| "sub2"), &one_third_v2)? - .sub(c1_cs.ns(|| "sub3"), &one_sixth_v3)? - .add(c1_cs.ns(|| "add4"), &two_v4)? - .add(c1_cs.ns(|| "add5"), &non_residue_v4)? - }; - - // -v0 + (1/2)v1 + (1/2)v2 −v4 - let c2 = { - let mut c2_cs = cs.ns(|| "c2"); - let half_v2 = v2.mul_by_constant(c2_cs.ns(|| "half_v2"), &two_inverse)?; - half_v1 - .add(c2_cs.ns(|| "add1"), &half_v2)? - .sub(c2_cs.ns(|| "sub1"), &v4)? - .sub(c2_cs.ns(|| "sub2"), &v0)? - }; + let c2 = s1 + .add(cs.ns(|| "c2 part1"), &s2)? + .add(cs.ns(|| "c2 part2"), &s3)? + .sub(cs.ns(|| "c2 part3"), &s0)? + .sub(cs.ns(|| "c2 part4"), &s4)?; Ok(Self::new(c0, c1, c2)) - } - - // 18 constraints, we can probably do better but not sure it's worth it. - #[inline] - fn inverse<CS: ConstraintSystem<ConstraintF>>( - &self, - mut cs: CS, - ) -> Result<Self, SynthesisError> { - let inverse = Self::alloc(&mut cs.ns(|| "alloc inverse"), || { - self.get_value().and_then(|val| val.inverse()).get() - })?; - let one = Self::one(cs.ns(|| "one"))?; - inverse.mul_equals(cs.ns(|| "check inverse"), &self, &one)?; - Ok(inverse) } #[inline]

@@ -634,8 +625,8 @@ fn cost_of_mul() -> usize {

5 * FpGadget::<ConstraintF>::cost_of_mul() } - fn cost_of_inv() -> usize { - Self::cost_of_mul() + <Self as EqGadget<ConstraintF>>::cost() + fn cost_of_mul_equals() -> usize { + 6 * FpGadget::<ConstraintF>::cost_of_mul() } }

@@ -889,7 +880,7 @@ let (c0, c1, c2) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1), Ok(fe.c2)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -916,7 +907,7 @@ let (c0, c1, c2) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1), Ok(fe.c2)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/fields/fp4.rs → r1cs-std/src/fields/fp4.rs

@@ -1,11 +1,11 @@

use algebra::{ fields::{Fp2, Fp2Parameters, Fp4, Fp4Parameters}, - BigInteger, Field, One, PrimeField, + BigInteger, PrimeField, }; use core::{borrow::Borrow, marker::PhantomData}; use r1cs_core::{ConstraintSystem, SynthesisError}; -use crate::{prelude::*, Assignment, Vec}; +use crate::{prelude::*, Vec}; type Fp2Gadget<P, ConstraintF> = super::fp2::Fp2Gadget<<P as Fp4Parameters>::Fp2Params, ConstraintF>;

@@ -22,8 +22,8 @@ where

P: Fp4Parameters, P::Fp2Params: Fp2Parameters<Fp = ConstraintF>, { - pub c0: Fp2Gadget<P, ConstraintF>, - pub c1: Fp2Gadget<P, ConstraintF>, + pub c0: Fp2Gadget<P, ConstraintF>, + pub c1: Fp2Gadget<P, ConstraintF>, #[derivative(Debug = "ignore")] _params: PhantomData<P>, }

@@ -308,48 +308,6 @@

Ok(Self::new(c0, c1)) } - #[inline] - fn inverse<CS: ConstraintSystem<ConstraintF>>( - &self, - mut cs: CS, - ) -> Result<Self, SynthesisError> { - let inverse = Self::alloc(&mut cs.ns(|| "alloc inverse"), || { - self.get_value().and_then(|val| val.inverse()).get() - })?; - - // Karatsuba multiplication for Fp4 with the inverse: - // v0 = A.c0 * B.c0 - // v1 = A.c1 * B.c1 - // - // 1 = v0 + non_residue * v1 - // => v0 = 1 - non_residue * v1 - // - // 0 = result.c1 = (A.c0 + A.c1) * (B.c0 + B.c1) - v0 - v1 - // => v0 + v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Enforced with 2 constraints: - // A.c1 * B.c1 = v1 - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Reference: - // "Multiplication and Squaring on Pairing-Friendly Fields" - // Devegili, OhEigeartaigh, Scott, Dahab - - // Constraint 1 - let v1 = self.c1.mul(cs.ns(|| "inv_constraint_1"), &inverse.c1)?; - - // Constraint 2 - let a0_plus_a1 = self.c0.add(cs.ns(|| "a0 + a1"), &self.c1)?; - let b0_plus_b1 = inverse.c0.add(cs.ns(|| "b0 + b1"), &inverse.c1)?; - - let one = Fp2::<<P as Fp4Parameters>::Fp2Params>::one(); - let rhs = Self::mul_fp2_gadget_by_nonresidue(cs.ns(|| "nr * v1"), &v1)? - .sub(cs.ns(|| "sub v1"), &v1)? - .negate(cs.ns(|| "negate it"))? - .add_constant(cs.ns(|| "add one"), &one)?; - a0_plus_a1.mul_equals(cs.ns(|| "inv_constraint_2"), &b0_plus_b1, &rhs)?; - Ok(inverse) - } - fn mul_equals<CS: ConstraintSystem<ConstraintF>>( &self, mut cs: CS,

@@ -475,16 +433,11 @@ Ok(Self::new(c0, c1))

} fn cost_of_mul() -> usize { - 3 * <Fp2Gadget<P, ConstraintF> as FieldGadget<Fp2<P::Fp2Params>, ConstraintF>>::cost_of_mul( - ) + 3 * Fp2Gadget::<P, ConstraintF>::cost_of_mul() } fn cost_of_mul_equals() -> usize { Self::cost_of_mul() - } - - fn cost_of_inv() -> usize { - unimplemented!() } }

@@ -616,8 +569,8 @@ P::Fp2Params: Fp2Parameters<Fp = ConstraintF>,

{ fn clone(&self) -> Self { Self { - c0: self.c0.clone(), - c1: self.c1.clone(), + c0: self.c0.clone(), + c1: self.c1.clone(), _params: PhantomData, } }

@@ -733,7 +686,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -758,7 +711,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/fields/fp6_2over3.rs → r1cs-std/src/fields/fp6_2over3.rs

@@ -3,12 +3,12 @@ fields::{

fp6_2over3::{Fp6, Fp6Parameters}, Fp3, Fp3Parameters, }, - BigInteger, Field, One, PrimeField, SquareRootField, + BigInteger, PrimeField, SquareRootField, }; use core::{borrow::Borrow, marker::PhantomData}; use r1cs_core::{ConstraintSystem, SynthesisError}; -use crate::{prelude::*, Assignment, Vec}; +use crate::{prelude::*, Vec}; type Fp3Gadget<P, ConstraintF> = super::fp3::Fp3Gadget<<P as Fp6Parameters>::Fp3Params, ConstraintF>;

@@ -25,8 +25,8 @@ where

P: Fp6Parameters, P::Fp3Params: Fp3Parameters<Fp = ConstraintF>, { - pub c0: Fp3Gadget<P, ConstraintF>, - pub c1: Fp3Gadget<P, ConstraintF>, + pub c0: Fp3Gadget<P, ConstraintF>, + pub c1: Fp3Gadget<P, ConstraintF>, #[derivative(Debug = "ignore")] _params: PhantomData<P>, }

@@ -291,48 +291,6 @@

Ok(Self::new(c0, c1)) } - #[inline] - fn inverse<CS: ConstraintSystem<ConstraintF>>( - &self, - mut cs: CS, - ) -> Result<Self, SynthesisError> { - let inverse = Self::alloc(&mut cs.ns(|| "alloc inverse"), || { - self.get_value().and_then(|val| val.inverse()).get() - })?; - - // Karatsuba multiplication for Fp6 with the inverse: - // v0 = A.c0 * B.c0 - // v1 = A.c1 * B.c1 - // - // 1 = v0 + non_residue * v1 - // => v0 = 1 - non_residue * v1 - // - // 0 = result.c1 = (A.c0 + A.c1) * (B.c0 + B.c1) - v0 - v1 - // => v0 + v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Enforced with 2 constraints: - // A.c1 * B.c1 = v1 - // => 1 + (1 - non_residue) * v1 = (A.c0 + A.c1) * (B.c0 + B.c1) - // Reference: - // "Multiplication and Squaring on Pairing-Friendly Fields" - // Devegili, OhEigeartaigh, Scott, Dahab - - // Constraint 1 - let v1 = self.c1.mul(cs.ns(|| "inv_constraint_1"), &inverse.c1)?; - - // Constraint 2 - let a0_plus_a1 = self.c0.add(cs.ns(|| "a0 + a1"), &self.c1)?; - let b0_plus_b1 = inverse.c0.add(cs.ns(|| "b0 + b1"), &inverse.c1)?; - - let one = Fp3::<<P as Fp6Parameters>::Fp3Params>::one(); - let rhs = Self::mul_fp3_gadget_by_nonresidue(cs.ns(|| "nr * v1"), &v1)? - .sub(cs.ns(|| "sub v1"), &v1)? - .negate(cs.ns(|| "negate it"))? - .add_constant(cs.ns(|| "add one"), &one)?; - a0_plus_a1.mul_equals(cs.ns(|| "inv_constraint_2"), &b0_plus_b1, &rhs)?; - Ok(inverse) - } - fn mul_equals<CS: ConstraintSystem<ConstraintF>>( &self, mut cs: CS,

@@ -458,16 +416,11 @@ Ok(Self::new(c0, c1))

} fn cost_of_mul() -> usize { - 3 * <Fp3Gadget<P, ConstraintF> as FieldGadget<Fp3<P::Fp3Params>, ConstraintF>>::cost_of_mul( - ) + 2 * Fp3Gadget::<P, ConstraintF>::cost_of_mul() } fn cost_of_mul_equals() -> usize { Self::cost_of_mul() - } - - fn cost_of_inv() -> usize { - unimplemented!() } }

@@ -604,8 +557,8 @@ P::Fp3Params: Fp3Parameters<Fp = ConstraintF>,

{ fn clone(&self) -> Self { Self { - c0: self.c0.clone(), - c1: self.c1.clone(), + c0: self.c0.clone(), + c1: self.c1.clone(), _params: PhantomData, } }

@@ -724,7 +677,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -749,7 +702,7 @@ let (c0, c1) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1)) - }, + } Err(_) => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/fields/fp6_3over2.rs → r1cs-std/src/fields/fp6_3over2.rs

@@ -8,7 +8,7 @@ };

use core::{borrow::Borrow, marker::PhantomData}; use r1cs_core::{ConstraintSystem, ConstraintVar, SynthesisError}; -use crate::{prelude::*, Assignment, Vec}; +use crate::{prelude::*, Vec}; type Fp2Gadget<P, ConstraintF> = super::fp2::Fp2Gadget<<P as Fp6Parameters>::Fp2Params, ConstraintF>;

@@ -21,9 +21,9 @@ where

P: Fp6Parameters, P::Fp2Params: Fp2Parameters<Fp = ConstraintF>, { - pub c0: Fp2Gadget<P, ConstraintF>, - pub c1: Fp2Gadget<P, ConstraintF>, - pub c2: Fp2Gadget<P, ConstraintF>, + pub c0: Fp2Gadget<P, ConstraintF>, + pub c1: Fp2Gadget<P, ConstraintF>, + pub c2: Fp2Gadget<P, ConstraintF>, #[derivative(Debug = "ignore")] _params: PhantomData<P>, }

@@ -398,120 +398,113 @@

Ok(Self::new(c0, c1, c2)) } - /// Use the Toom-Cook-3x method to compute multiplication. + /// Use the Chung-Hasan asymmetric squaring formula. + /// + /// (Devegili OhEig Scott Dahab --- Multiplication and Squaring on + /// Abstract Pairing-Friendly + /// Fields.pdf; Section 4 (CH-SQR2)) #[inline] fn square<CS: ConstraintSystem<ConstraintF>>( &self, mut cs: CS, ) -> Result<Self, SynthesisError> { - // Uses Toom-Cook-3x multiplication from - // - // Reference: - // "Multiplication and Squaring on Pairing-Friendly Fields" - // Devegili, OhEigeartaigh, Scott, Dahab + let a = self.c0.clone(); + let b = self.c1.clone(); + let c = self.c2.clone(); - // v0 = a(0)^2 = a0^2 - let v0 = self.c0.square(&mut cs.ns(|| "Calc v0"))?; + let s0 = a.square(cs.ns(|| "s0"))?; + let ab = a.mul(cs.ns(|| "ab"), &b)?; + let s1 = ab.double(cs.ns(|| "s1"))?; + let s2 = a + .sub(cs.ns(|| "a-b"), &b)? + .add(cs.ns(|| "plus c"), &c)? + .square(cs.ns(|| "s2"))?; + let s3 = b.mul(cs.ns(|| "bc"), &c)?.double(cs.ns(|| "s3"))?; + let s4 = c.square(cs.ns(|| "s4"))?; - // v1 = a(1)^2 = (a0 + a1 + a2)^2 - let v1 = { - let a0_plus_a1_plus_a2 = self - .c0 - .add(cs.ns(|| "a0 + a1"), &self.c1)? - .add(cs.ns(|| "a0 + a1 + a2"), &self.c2)?; - a0_plus_a1_plus_a2.square(&mut cs.ns(|| "(a0 + a1 + a2)^2"))? - }; + let c0 = Self::mul_fp2_gadget_by_nonresidue(cs.ns(|| "c0 part 1"), &s3)? + .add(cs.ns(|| "c0"), &s0)?; - // v2 = a(−1)^2 = (a0 − a1 + a2)^2 - let v2 = { - let a0_minus_a1_plus_a2 = self - .c0 - .sub(cs.ns(|| "a0 - a1"), &self.c1)? - .add(cs.ns(|| "a0 - a2 + a2"), &self.c2)?; - a0_minus_a1_plus_a2.square(&mut cs.ns(|| "(a0 - a1 + a2)^2"))? - }; + let c1 = Self::mul_fp2_gadget_by_nonresidue(cs.ns(|| "c1 part 1"), &s4)? + .add(cs.ns(|| "c1"), &s1)?; - // v3 = a(2)^2 = (a0 + 2a1 + 4a2)^2 - let v3 = { - let a1_double = self.c1.double(cs.ns(|| "2a1"))?; - let a2_quad = self.c2.double(cs.ns(|| "2a2"))?.double(cs.ns(|| "4a2"))?; - let a0_plus_2_a1_plus_4_a2 = self - .c0 - .add(cs.ns(|| "a0 + 2a1"), &a1_double)? - .add(cs.ns(|| "a0 + 2a1 + 4a2"), &a2_quad)?; - - a0_plus_2_a1_plus_4_a2.square(&mut cs.ns(|| "(a0 + 2a1 + 4a2)^2"))? - }; - - // v4 = a(∞)^2 = a2^2 - let v4 = self.c2.square(&mut cs.ns(|| "a2^2"))?; - - let two = <P::Fp2Params as Fp2Parameters>::Fp::one().double(); - let six = two.double() + &two; - let mut two_and_six = [two, six]; - algebra::fields::batch_inversion(&mut two_and_six); - let (two_inverse, six_inverse) = (two_and_six[0], two_and_six[1]); - - let half_v0 = v0.mul_by_fp_constant(cs.ns(|| "half_v0"), &two_inverse)?; - let half_v1 = v1.mul_by_fp_constant(cs.ns(|| "half_v1"), &two_inverse)?; - let one_sixth_v2 = v2.mul_by_fp_constant(cs.ns(|| "one_sixth_v2"), &six_inverse)?; - let one_sixth_v3 = v3.mul_by_fp_constant(cs.ns(|| "one_sixth_v3"), &six_inverse)?; - let two_v4 = v4.double(cs.ns(|| "double_v4"))?; - - // c0 = v0 + β((1/2)v0 − (1/2)v1 − (1/6)v2 + (1/6)v3 − 2v4) - let c0 = { - let mut c0_cs = cs.ns(|| "c0"); - // No constraints, only get a linear combination back. - let inner = half_v0 - .sub(c0_cs.ns(|| "sub1"), &half_v1)? - .sub(c0_cs.ns(|| "sub2"), &one_sixth_v2)? - .add(c0_cs.ns(|| "add3"), &one_sixth_v3)? - .sub(c0_cs.ns(|| "sub4"), &two_v4)?; - let non_residue_times_inner = - inner.mul_by_constant(c0_cs.ns(|| "mul_by_res"), &P::NONRESIDUE)?; - v0.add(c0_cs.ns(|| "add5"), &non_residue_times_inner)? - }; - - // −(1/2)v0 + v1 − (1/3)v2 − (1/6)v3 + 2v4 + βv4 - let c1 = { - let mut c1_cs = cs.ns(|| "c1"); - let one_third_v2 = one_sixth_v2.double(c1_cs.ns(|| "v2_by_3"))?; - let non_residue_v4 = v4.mul_by_constant(c1_cs.ns(|| "mul_by_res"), &P::NONRESIDUE)?; - - half_v0 - .negate(c1_cs.ns(|| "neg1"))? - .add(c1_cs.ns(|| "add1"), &v1)? - .sub(c1_cs.ns(|| "sub2"), &one_third_v2)? - .sub(c1_cs.ns(|| "sub3"), &one_sixth_v3)? - .add(c1_cs.ns(|| "add4"), &two_v4)? - .add(c1_cs.ns(|| "add5"), &non_residue_v4)? - }; - - // -v0 + (1/2)v1 + (1/2)v2 −v4 - let c2 = { - let mut c2_cs = cs.ns(|| "c2"); - let half_v2 = v2.mul_by_fp_constant(c2_cs.ns(|| "half_v2"), &two_inverse)?; - half_v1 - .add(c2_cs.ns(|| "add1"), &half_v2)? - .sub(c2_cs.ns(|| "sub1"), &v4)? - .sub(c2_cs.ns(|| "sub2"), &v0)? - }; + let c2 = s1 + .add(cs.ns(|| "c2 part1"), &s2)? + .add(cs.ns(|| "c2 part2"), &s3)? + .sub(cs.ns(|| "c2 part3"), &s0)? + .sub(cs.ns(|| "c2 part4"), &s4)?; Ok(Self::new(c0, c1, c2)) } - // 18 constraints, we can probably do better but not sure it's worth it. #[inline] - fn inverse<CS: ConstraintSystem<ConstraintF>>( + fn mul_equals<CS: ConstraintSystem<ConstraintF>>( &self, mut cs: CS, - ) -> Result<Self, SynthesisError> { - let inverse = Self::alloc(&mut cs.ns(|| "alloc inverse"), || { - self.get_value().and_then(|val| val.inverse()).get() - })?; - let one = Self::one(cs.ns(|| "one"))?; - inverse.mul_equals(cs.ns(|| "check inverse"), &self, &one)?; - Ok(inverse) + other: &Self, + result: &Self, + ) -> Result<(), SynthesisError> { + // Karatsuba multiplication for Fp3: + // v0 = A.c0 * B.c0 + // v1 = A.c1 * B.c1 + // v2 = A.c2 * B.c2 + // result.c0 = v0 + β((a1 + a2)(b1 + b2) − v1 − v2) + // result.c1 = (a0 + a1)(b0 + b1) − v0 − v1 + βv2 + // result.c2 = (a0 + a2)(b0 + b2) − v0 + v1 − v2, + // We enforce this with six constraints: + // + // v0 = A.c0 * B.c0 + // v1 = A.c1 * B.c1 + // v2 = A.c2 * B.c2 + // + // result.c0 - v0 + \beta*(v1 + v2) = β(a1 + a2)(b1 + b2)) + // result.c1 + v0 + v1 - βv2 = (a0 + a1)(b0 + b1) + // result.c2 + v0 - v1 + v2 = (a0 + a2)(b0 + b2) + // Reference: + // "Multiplication and Squaring on Pairing-Friendly Fields" + // Devegili, OhEigeartaigh, Scott, Dahab + // + // This implementation adapted from + // https://github.com/ZencashOfficial/ginger-lib/blob/development/r1cs/gadgets/std/src/fields/fp3.rs + let v0 = self.c0.mul(cs.ns(|| "v0 = a0 * b0"), &other.c0)?; + let v1 = self.c1.mul(cs.ns(|| "v1 = a1 * b1"), &other.c1)?; + let v2 = self.c2.mul(cs.ns(|| "v2 = a2 * b2"), &other.c2)?; + + // Check c0 + let nr_a1_plus_a2 = self + .c1 + .add(cs.ns(|| "a1 + a2"), &self.c2)? + .mul_by_constant(cs.ns(|| "nr*(a1 + a2)"), &P::NONRESIDUE)?; + let b1_plus_b2 = other.c1.add(cs.ns(|| "b1 + b2"), &other.c2)?; + let nr_v1 = v1.mul_by_constant(cs.ns(|| "nr * v1"), &P::NONRESIDUE)?; + let nr_v2 = v2.mul_by_constant(cs.ns(|| "nr * v2"), &P::NONRESIDUE)?; + let to_check = result + .c0 + .sub(cs.ns(|| "c0 - v0"), &v0)? + .add(cs.ns(|| "c0 - v0 + nr * v1"), &nr_v1)? + .add(cs.ns(|| "c0 - v0 + nr * v1 + nr * v2"), &nr_v2)?; + nr_a1_plus_a2.mul_equals(cs.ns(|| "check c0"), &b1_plus_b2, &to_check)?; + + // Check c1 + let a0_plus_a1 = self.c0.add(cs.ns(|| "a0 + a1"), &self.c1)?; + let b0_plus_b1 = other.c0.add(cs.ns(|| "b0 + b1"), &other.c1)?; + let to_check = result + .c1 + .sub(cs.ns(|| "c1 - nr * v2"), &nr_v2)? + .add(cs.ns(|| "c1 - nr * v2 + v0"), &v0)? + .add(cs.ns(|| "c1 - nr * v2 + v0 + v1"), &v1)?; + a0_plus_a1.mul_equals(cs.ns(|| "check c1"), &b0_plus_b1, &to_check)?; + + // Check c2 + let a0_plus_a2 = self.c0.add(cs.ns(|| "a0 + a2"), &self.c2)?; + let b0_plus_b2 = other.c0.add(cs.ns(|| "b0 + b2"), &other.c2)?; + let to_check = result + .c2 + .add(cs.ns(|| "c2 + v0"), &v0)? + .sub(cs.ns(|| "c2 + v0 - v1"), &v1)? + .add(cs.ns(|| "c2 + v0 - v1 + v2"), &v2)?; + a0_plus_a2.mul_equals(cs.ns(|| "check c2"), &b0_plus_b2, &to_check)?; + Ok(()) } #[inline]

@@ -704,8 +697,8 @@ fn cost_of_mul() -> usize {

5 * Fp2Gadget::<P, ConstraintF>::cost_of_mul() } - fn cost_of_inv() -> usize { - Self::cost_of_mul() + <Self as EqGadget<ConstraintF>>::cost() + fn cost_of_mul_equals() -> usize { + 6 * Fp2Gadget::<P, ConstraintF>::cost_of_mul() } }

@@ -984,7 +977,7 @@ let (c0, c1, c2) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1), Ok(fe.c2)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -1011,7 +1004,7 @@ let (c0, c1, c2) = match value_gen() {

Ok(fe) => { let fe = *fe.borrow(); (Ok(fe.c0), Ok(fe.c1), Ok(fe.c2)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/fields/mod.rs → r1cs-std/src/fields/mod.rs

@@ -2,7 +2,7 @@ use algebra::{fields::BitIterator, Field};

use core::fmt::Debug; use r1cs_core::{ConstraintSystem, SynthesisError}; -use crate::prelude::*; +use crate::{prelude::*, Assignment}; pub mod fp; pub mod fp12;

@@ -188,7 +188,17 @@ *self = self.mul_by_constant(cs, other)?;

Ok(self) } - fn inverse<CS: ConstraintSystem<ConstraintF>>(&self, _: CS) -> Result<Self, SynthesisError>; + fn inverse<CS: ConstraintSystem<ConstraintF>>( + &self, + mut cs: CS, + ) -> Result<Self, SynthesisError> { + let one = Self::one(&mut cs.ns(|| "one"))?; + let inverse = Self::alloc(&mut cs.ns(|| "alloc inverse"), || { + self.get_value().and_then(|val| val.inverse()).get() + })?; + self.mul_equals(cs.ns(|| "check inv"), &inverse, &one)?; + Ok(inverse) + } fn frobenius_map<CS: ConstraintSystem<ConstraintF>>( &self,

@@ -255,7 +265,9 @@ fn cost_of_mul_equals() -> usize {

Self::cost_of_mul() + <Self as EqGadget<ConstraintF>>::cost() } - fn cost_of_inv() -> usize; + fn cost_of_inv() -> usize { + Self::cost_of_mul_equals() + } } #[cfg(test)]
M r1cs-std/src/groups/curves/short_weierstrass/mnt4/mod.rs → r1cs-std/src/groups/curves/short_weierstrass/mnt4/mod.rs

@@ -27,8 +27,8 @@

#[derive(Derivative)] #[derivative(Clone(bound = "P: MNT4Parameters"), Debug(bound = "P: MNT4Parameters"))] pub struct G1PreparedGadget<P: MNT4Parameters> { - pub x: FpGadget<P::Fp>, - pub y: FpGadget<P::Fp>, + pub x: FpGadget<P::Fp>, + pub y: FpGadget<P::Fp>, pub x_twist: Fp2Gadget<P::Fp2Params, P::Fp>, pub y_twist: Fp2Gadget<P::Fp2Params, P::Fp>, }

@@ -113,11 +113,11 @@ type Fp2G<P> = Fp2Gadget<<P as MNT4Parameters>::Fp2Params, <P as MNT4Parameters>::Fp>;

#[derive(Derivative)] #[derivative(Clone(bound = "P: MNT4Parameters"), Debug(bound = "P: MNT4Parameters"))] pub struct G2PreparedGadget<P: MNT4Parameters> { - pub x: Fp2Gadget<P::Fp2Params, P::Fp>, - pub y: Fp2Gadget<P::Fp2Params, P::Fp>, - pub x_over_twist: Fp2Gadget<P::Fp2Params, P::Fp>, - pub y_over_twist: Fp2Gadget<P::Fp2Params, P::Fp>, - pub double_coefficients: Vec<AteDoubleCoefficientsGadget<P>>, + pub x: Fp2Gadget<P::Fp2Params, P::Fp>, + pub y: Fp2Gadget<P::Fp2Params, P::Fp>, + pub x_over_twist: Fp2Gadget<P::Fp2Params, P::Fp>, + pub y_over_twist: Fp2Gadget<P::Fp2Params, P::Fp>, + pub double_coefficients: Vec<AteDoubleCoefficientsGadget<P>>, pub addition_coefficients: Vec<AteAdditionCoefficientsGadget<P>>, }

@@ -222,11 +222,11 @@ ) -> Result<Self, SynthesisError> {

let twist_inv = P::TWIST.inverse().unwrap(); let mut g2p = G2PreparedGadget { - x: q.x.clone(), - y: q.y.clone(), - x_over_twist: q.x.mul_by_constant(cs.ns(|| "x over twist"), &twist_inv)?, - y_over_twist: q.y.mul_by_constant(cs.ns(|| "y over twist"), &twist_inv)?, - double_coefficients: vec![], + x: q.x.clone(), + y: q.y.clone(), + x_over_twist: q.x.mul_by_constant(cs.ns(|| "x over twist"), &twist_inv)?, + y_over_twist: q.y.mul_by_constant(cs.ns(|| "y over twist"), &twist_inv)?, + double_coefficients: vec![], addition_coefficients: vec![], };

@@ -302,10 +302,10 @@

#[derive(Derivative)] #[derivative(Clone(bound = "P: MNT4Parameters"), Debug(bound = "P: MNT4Parameters"))] pub struct AteDoubleCoefficientsGadget<P: MNT4Parameters> { - pub c_h: Fp2Gadget<P::Fp2Params, P::Fp>, + pub c_h: Fp2Gadget<P::Fp2Params, P::Fp>, pub c_4c: Fp2Gadget<P::Fp2Params, P::Fp>, - pub c_j: Fp2Gadget<P::Fp2Params, P::Fp>, - pub c_l: Fp2Gadget<P::Fp2Params, P::Fp>, + pub c_j: Fp2Gadget<P::Fp2Params, P::Fp>, + pub c_l: Fp2Gadget<P::Fp2Params, P::Fp>, } impl<P: MNT4Parameters> ToBytesGadget<P::Fp> for AteDoubleCoefficientsGadget<P> {
M r1cs-std/src/groups/curves/short_weierstrass/mnt6/mod.rs → r1cs-std/src/groups/curves/short_weierstrass/mnt6/mod.rs

@@ -27,8 +27,8 @@

#[derive(Derivative)] #[derivative(Clone(bound = "P: MNT6Parameters"), Debug(bound = "P: MNT6Parameters"))] pub struct G1PreparedGadget<P: MNT6Parameters> { - pub x: FpGadget<P::Fp>, - pub y: FpGadget<P::Fp>, + pub x: FpGadget<P::Fp>, + pub y: FpGadget<P::Fp>, pub x_twist: Fp3Gadget<P::Fp3Params, P::Fp>, pub y_twist: Fp3Gadget<P::Fp3Params, P::Fp>, }

@@ -115,11 +115,11 @@ type Fp3G<P> = Fp3Gadget<<P as MNT6Parameters>::Fp3Params, <P as MNT6Parameters>::Fp>;

#[derive(Derivative)] #[derivative(Clone(bound = "P: MNT6Parameters"), Debug(bound = "P: MNT6Parameters"))] pub struct G2PreparedGadget<P: MNT6Parameters> { - pub x: Fp3Gadget<P::Fp3Params, P::Fp>, - pub y: Fp3Gadget<P::Fp3Params, P::Fp>, - pub x_over_twist: Fp3Gadget<P::Fp3Params, P::Fp>, - pub y_over_twist: Fp3Gadget<P::Fp3Params, P::Fp>, - pub double_coefficients: Vec<AteDoubleCoefficientsGadget<P>>, + pub x: Fp3Gadget<P::Fp3Params, P::Fp>, + pub y: Fp3Gadget<P::Fp3Params, P::Fp>, + pub x_over_twist: Fp3Gadget<P::Fp3Params, P::Fp>, + pub y_over_twist: Fp3Gadget<P::Fp3Params, P::Fp>, + pub double_coefficients: Vec<AteDoubleCoefficientsGadget<P>>, pub addition_coefficients: Vec<AteAdditionCoefficientsGadget<P>>, }

@@ -224,11 +224,11 @@ ) -> Result<Self, SynthesisError> {

let twist_inv = P::TWIST.inverse().unwrap(); let mut g2p = G2PreparedGadget { - x: q.x.clone(), - y: q.y.clone(), - x_over_twist: q.x.mul_by_constant(cs.ns(|| "x over twist"), &twist_inv)?, - y_over_twist: q.y.mul_by_constant(cs.ns(|| "y over twist"), &twist_inv)?, - double_coefficients: vec![], + x: q.x.clone(), + y: q.y.clone(), + x_over_twist: q.x.mul_by_constant(cs.ns(|| "x over twist"), &twist_inv)?, + y_over_twist: q.y.mul_by_constant(cs.ns(|| "y over twist"), &twist_inv)?, + double_coefficients: vec![], addition_coefficients: vec![], };

@@ -304,10 +304,10 @@

#[derive(Derivative)] #[derivative(Clone(bound = "P: MNT6Parameters"), Debug(bound = "P: MNT6Parameters"))] pub struct AteDoubleCoefficientsGadget<P: MNT6Parameters> { - pub c_h: Fp3Gadget<P::Fp3Params, P::Fp>, + pub c_h: Fp3Gadget<P::Fp3Params, P::Fp>, pub c_4c: Fp3Gadget<P::Fp3Params, P::Fp>, - pub c_j: Fp3Gadget<P::Fp3Params, P::Fp>, - pub c_l: Fp3Gadget<P::Fp3Params, P::Fp>, + pub c_j: Fp3Gadget<P::Fp3Params, P::Fp>, + pub c_l: Fp3Gadget<P::Fp3Params, P::Fp>, } impl<P: MNT6Parameters> ToBytesGadget<P::Fp> for AteDoubleCoefficientsGadget<P> {
M r1cs-std/src/groups/curves/short_weierstrass/mod.rs → r1cs-std/src/groups/curves/short_weierstrass/mod.rs

@@ -22,11 +22,11 @@ P: SWModelParameters,

ConstraintF: Field, F: FieldGadget<P::BaseField, ConstraintF>, > { - pub x: F, - pub y: F, + pub x: F, + pub y: F, pub infinity: Boolean, - _params: PhantomData<P>, - _engine: PhantomData<ConstraintF>, + _params: PhantomData<P>, + _engine: PhantomData<ConstraintF>, } impl<P: SWModelParameters, ConstraintF: Field, F: FieldGadget<P::BaseField, ConstraintF>>

@@ -53,7 +53,7 @@ let (x, y, infinity) = match value_gen() {

Ok(ge) => { let ge = ge.into_affine(); (Ok(ge.x), Ok(ge.y), Ok(ge.infinity)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -107,7 +107,7 @@ self.infinity.get_value(),

) { (Some(x), Some(y), Some(infinity)) => { Some(SWAffine::new(x, y, infinity).into_projective()) - }, + } (None, None, None) => None, _ => unreachable!(), }

@@ -450,7 +450,7 @@ let (x, y, infinity) = match value_gen() {

Ok(ge) => { let ge = ge.borrow().into_affine(); (Ok(ge.x), Ok(ge.y), Ok(ge.infinity)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -574,7 +574,7 @@ let (x, y, infinity) = match value_gen() {

Ok(ge) => { let ge = ge.borrow().into_affine(); (Ok(ge.x), Ok(ge.y), Ok(ge.infinity)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/groups/curves/twisted_edwards/mod.rs → r1cs-std/src/groups/curves/twisted_edwards/mod.rs

@@ -21,8 +21,8 @@ P: TEModelParameters,

ConstraintF: Field, F: FieldGadget<P::BaseField, ConstraintF>, > { - pub x: F, - pub y: F, + pub x: F, + pub y: F, #[derivative(Debug = "ignore")] _params: PhantomData<P>, #[derivative(Debug = "ignore")]

@@ -90,7 +90,7 @@ Some(invy) => {

t0.mul_assign(&invy); Ok(t0) - }, + } None => Err(SynthesisError::DivisionByZero), } })?;

@@ -108,7 +108,7 @@ Some(t1) => {

t0.mul_assign(&t1); Ok(t0) - }, + } None => Err(SynthesisError::DivisionByZero), } })?;

@@ -140,7 +140,7 @@ match d.inverse() {

Some(d) => { n.mul_assign(&d); Ok(n) - }, + } None => Err(SynthesisError::DivisionByZero), } })?;

@@ -193,8 +193,8 @@ P: TEModelParameters,

ConstraintF: Field, F: FieldGadget<P::BaseField, ConstraintF>, > { - pub x: F, - pub y: F, + pub x: F, + pub y: F, #[derivative(Debug = "ignore")] _params: PhantomData<P>, #[derivative(Debug = "ignore")]

@@ -504,7 +504,7 @@ let (x, y) = match value_gen() {

Ok(ge) => { let ge = *ge.borrow(); (Ok(ge.x), Ok(ge.y)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -621,7 +621,7 @@ let (x, y) = match value_gen() {

Ok(ge) => { let ge = *ge.borrow(); (Ok(ge.x), Ok(ge.y)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -960,14 +960,14 @@ let segment_result = result.into_edwards(cs.ns(|| "segment result"))?;

match edwards_result { None => { edwards_result = Some(segment_result); - }, + } Some(ref mut edwards_result) => { *edwards_result = GroupGadget::<TEAffine<P>, ConstraintF>::add( &segment_result, cs.ns(|| "edwards addition"), edwards_result, )?; - }, + } } Ok(())

@@ -1050,13 +1050,13 @@

match result { None => { result = Some(tmp); - }, + } Some(ref mut result) => { *result = tmp.add( cs.ns(|| format!("addition of window {}, {}", segment_i, i)), result, )?; - }, + } } }

@@ -1101,7 +1101,7 @@ let (x, y) = match value_gen() {

Ok(ge) => { let ge = ge.borrow().into_affine(); (Ok(ge.x), Ok(ge.y)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),

@@ -1223,7 +1223,7 @@ let (x, y) = match value_gen() {

Ok(ge) => { let ge = ge.borrow().into_affine(); (Ok(ge.x), Ok(ge.y)) - }, + } _ => ( Err(SynthesisError::AssignmentMissing), Err(SynthesisError::AssignmentMissing),
M r1cs-std/src/lib.rs → r1cs-std/src/lib.rs

@@ -33,8 +33,8 @@

#[cfg(feature = "std")] use std::{collections::BTreeMap, string::String, vec::Vec}; -pub mod test_constraint_system; pub mod test_constraint_counter; +pub mod test_constraint_system; pub mod bits; pub use self::bits::*;
M r1cs-std/src/pairing/bls12/mod.rs → r1cs-std/src/pairing/bls12/mod.rs

@@ -36,7 +36,7 @@ c1.c0 = c1.c0.mul(cs.ns(|| "mul c1.c0"), &p.x)?;

c1.c1 = c1.c1.mul(cs.ns(|| "mul c1.c1"), &p.x)?; *f = f.mul_by_014(cs.ns(|| "sparse mul f"), &c0, &c1, &c2)?; Ok(()) - }, + } TwistType::D => { let c0 = Fp2G::<P>::new(p.y.clone(), zero); let mut c1 = coeffs.0.clone();

@@ -46,7 +46,7 @@ c1.c0 = c1.c0.mul(cs.ns(|| "mul c1.c0"), &p.x)?;

c1.c1 = c1.c1.mul(cs.ns(|| "mul c1.c1"), &p.x)?; *f = f.mul_by_034(cs.ns(|| "sparse mul f"), &c0, &c1, &c2)?; Ok(()) - }, + } } }
M r1cs-std/src/test_constraint_counter.rs → r1cs-std/src/test_constraint_counter.rs

@@ -4,16 +4,16 @@ use r1cs_core::{ConstraintSystem, Index, LinearCombination, SynthesisError, Variable};

/// Constraint counter for testing purposes. pub struct ConstraintCounter { - pub num_inputs: usize, - pub num_aux: usize, + pub num_inputs: usize, + pub num_aux: usize, pub num_constraints: usize, } impl ConstraintCounter { pub fn new() -> Self { Self { - num_aux: 0, - num_inputs: 0, + num_aux: 0, + num_inputs: 0, num_constraints: 0, } }
M r1cs-std/src/test_constraint_system.rs → r1cs-std/src/test_constraint_system.rs

@@ -11,7 +11,7 @@ }

/// Constraint system for testing purposes. pub struct TestConstraintSystem<ConstraintF: Field> { - named_objects: BTreeMap<String, NamedObject>, + named_objects: BTreeMap<String, NamedObject>, current_namespace: Vec<String>, pub constraints: Vec<( LinearCombination<ConstraintF>,

@@ -19,8 +19,8 @@ LinearCombination<ConstraintF>,

LinearCombination<ConstraintF>, String, )>, - inputs: Vec<(ConstraintF, String)>, - aux: Vec<(ConstraintF, String)>, + inputs: Vec<(ConstraintF, String)>, + aux: Vec<(ConstraintF, String)>, } impl<ConstraintF: Field> TestConstraintSystem<ConstraintF> {

@@ -54,11 +54,11 @@ NamedObject::Var(TestConstraintSystem::<ConstraintF>::one()),

); TestConstraintSystem { - named_objects: map, + named_objects: map, current_namespace: vec![], - constraints: vec![], - inputs: vec![(ConstraintF::one(), "ONE".into())], - aux: vec![], + constraints: vec![], + inputs: vec![(ConstraintF::one(), "ONE".into())], + aux: vec![], } }
M rustfmt.toml → rustfmt.toml

@@ -1,13 +1,9 @@

reorder_imports = true wrap_comments = true normalize_comments = true -format_strings = true -struct_field_align_threshold = 40 use_try_shorthand = true match_block_trailing_comma = true use_field_init_shorthand = true edition = "2018" condense_wildcard_suffixes = true merge_imports = true -imports_layout = "Mixed" -unstable_features = true