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use crate::nizk::{groth16::Groth16, NIZKVerifierGadget};
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use algebra::{Field, ToConstraintField, AffineCurve, PairingEngine};
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use r1cs_core::{ConstraintSynthesizer, ConstraintSystem, SynthesisError};
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use r1cs_std::prelude::*;
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use groth16::{Proof, VerifyingKey};
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use std::{borrow::Borrow, marker::PhantomData};
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#[derive(Derivative)]
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#[derivative(Clone(bound = "P::G1Gadget: Clone, P::G2Gadget: Clone"))]
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pub struct ProofGadget<
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PairingE: PairingEngine,
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ConstraintF: Field,
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P: PairingGadget<PairingE, ConstraintF>,
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> {
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pub a: P::G1Gadget,
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pub b: P::G2Gadget,
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pub c: P::G1Gadget,
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}
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#[derive(Derivative)]
|
||||
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#[derivative(Clone(
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||||
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bound = "P::G1Gadget: Clone, P::GTGadget: Clone, P::G1PreparedGadget: Clone, \
|
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P::G2PreparedGadget: Clone, "
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))]
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pub struct VerifyingKeyGadget<
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PairingE: PairingEngine,
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ConstraintF: Field,
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P: PairingGadget<PairingE, ConstraintF>,
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> {
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pub alpha_g1: P::G1Gadget,
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pub beta_g2: P::G2Gadget,
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pub gamma_g2: P::G2Gadget,
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pub delta_g2: P::G2Gadget,
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pub gamma_abc_g1: Vec<P::G1Gadget>,
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}
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impl<
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PairingE: PairingEngine,
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ConstraintF: Field,
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P: PairingGadget<PairingE, ConstraintF>,
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> VerifyingKeyGadget<PairingE, ConstraintF, P>
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{
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pub fn prepare<CS: ConstraintSystem<ConstraintF>>(
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&self,
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mut cs: CS,
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) -> Result<PreparedVerifyingKeyGadget<PairingE, ConstraintF, P>, SynthesisError> {
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let mut cs = cs.ns(|| "Preparing verifying key");
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let alpha_g1_pc = P::prepare_g1(&mut cs.ns(|| "Prepare alpha_g1"), &self.alpha_g1)?;
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let beta_g2_pc = P::prepare_g2(&mut cs.ns(|| "Prepare beta_g2"), &self.beta_g2)?;
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let alpha_g1_beta_g2 = P::pairing(&mut cs.ns(|| "Precompute e(alpha_g1, beta_g2)"), alpha_g1_pc, beta_g2_pc)?;
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let gamma_g2_neg = self.gamma_g2.negate(&mut cs.ns(|| "Negate gamma_g2"))?;
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let gamma_g2_neg_pc = P::prepare_g2(&mut cs.ns(|| "Prepare gamma_g2_neg"), &gamma_g2_neg)?;
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let delta_g2_neg = self.delta_g2.negate(&mut cs.ns(|| "Negate delta_g2"))?;
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let delta_g2_neg_pc = P::prepare_g2(&mut cs.ns(|| "Prepare delta_g2_neg"), &delta_g2_neg)?;
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Ok(PreparedVerifyingKeyGadget {
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alpha_g1_beta_g2: alpha_g1_beta_g2,
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gamma_g2_neg_pc: gamma_g2_neg_pc,
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delta_g2_neg_pc: delta_g2_neg_pc,
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gamma_abc_g1: self.gamma_abc_g1.clone(),
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})
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}
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}
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#[derive(Derivative)]
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#[derivative(Clone(
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bound = "P::G1Gadget: Clone, P::GTGadget: Clone, P::G1PreparedGadget: Clone, \
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P::G2PreparedGadget: Clone, "
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))]
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pub struct PreparedVerifyingKeyGadget<
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PairingE: PairingEngine,
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ConstraintF: Field,
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P: PairingGadget<PairingE, ConstraintF>,
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> {
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pub alpha_g1_beta_g2: P::GTGadget,
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pub gamma_g2_neg_pc: P::G2PreparedGadget,
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pub delta_g2_neg_pc: P::G2PreparedGadget,
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pub gamma_abc_g1: Vec<P::G1Gadget>,
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}
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pub struct Groth16VerifierGadget<PairingE, ConstraintF, P>
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where
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PairingE: PairingEngine,
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ConstraintF: Field,
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P: PairingGadget<PairingE, ConstraintF>,
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{
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_pairing_engine: PhantomData<PairingE>,
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_engine: PhantomData<ConstraintF>,
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_pairing_gadget: PhantomData<P>,
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}
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impl<PairingE, ConstraintF, P, C, V> NIZKVerifierGadget<Groth16<PairingE, C, V>, ConstraintF>
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for Groth16VerifierGadget<PairingE, ConstraintF, P>
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where
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PairingE: PairingEngine,
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ConstraintF: Field,
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C: ConstraintSynthesizer<PairingE::Fr>,
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V: ToConstraintField<PairingE::Fr>,
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P: PairingGadget<PairingE, ConstraintF>,
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{
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type VerificationKeyGadget = VerifyingKeyGadget<PairingE, ConstraintF, P>;
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type ProofGadget = ProofGadget<PairingE, ConstraintF, P>;
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fn check_verify<'a, CS, I, T>(
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mut cs: CS,
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vk: &Self::VerificationKeyGadget,
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mut public_inputs: I,
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proof: &Self::ProofGadget,
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) -> Result<(), SynthesisError>
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where
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CS: ConstraintSystem<ConstraintF>,
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I: Iterator<Item = &'a T>,
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T: 'a + ToBitsGadget<ConstraintF> + ?Sized,
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{
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let pvk = vk.prepare(&mut cs.ns(|| "Prepare vk"))?;
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let g_ic = {
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let mut cs = cs.ns(|| "Process input");
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let mut g_ic = pvk.gamma_abc_g1[0].clone();
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let mut input_len = 1;
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for (i, (input, b)) in public_inputs
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.by_ref()
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.zip(pvk.gamma_abc_g1.iter().skip(1))
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.enumerate()
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{
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let input_bits = input.to_bits(cs.ns(|| format!("Input {}", i)))?;
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g_ic = b.mul_bits(cs.ns(|| format!("Mul {}", i)), &g_ic, input_bits.iter())?;
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input_len += 1;
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}
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// Check that the input and the query in the verification are of the
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// same length.
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assert!(input_len == pvk.gamma_abc_g1.len() && public_inputs.next().is_none());
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g_ic
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};
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let test_exp = {
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let proof_a_prep = P::prepare_g1(cs.ns(|| "Prepare proof a"), &proof.a)?;
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let proof_b_prep = P::prepare_g2(cs.ns(|| "Prepare proof b"), &proof.b)?;
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let proof_c_prep = P::prepare_g1(cs.ns(|| "Prepare proof c"), &proof.c)?;
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let g_ic_prep = P::prepare_g1(cs.ns(|| "Prepare g_ic"), &g_ic)?;
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P::miller_loop(
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cs.ns(|| "Miller loop 1"),
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&[
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proof_a_prep,
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g_ic_prep,
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proof_c_prep,
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],
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&[
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proof_b_prep,
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pvk.gamma_g2_neg_pc.clone(),
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pvk.delta_g2_neg_pc.clone(),
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],
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)?
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};
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let test = P::final_exponentiation(cs.ns(|| "Final Exp"), &test_exp).unwrap();
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test.enforce_equal(cs.ns(|| "Test 1"), &pvk.alpha_g1_beta_g2)?;
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Ok(())
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}
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}
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impl<PairingE, ConstraintF, P> AllocGadget<VerifyingKey<PairingE>, ConstraintF>
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for VerifyingKeyGadget<PairingE, ConstraintF, P>
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where
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PairingE: PairingEngine,
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ConstraintF: Field,
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P: PairingGadget<PairingE, ConstraintF>,
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{
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#[inline]
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fn alloc<FN, T, CS: ConstraintSystem<ConstraintF>>(
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mut cs: CS,
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value_gen: FN,
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|
) -> Result<Self, SynthesisError>
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|
where
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FN: FnOnce() -> Result<T, SynthesisError>,
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T: Borrow<VerifyingKey<PairingE>>,
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{
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value_gen().and_then(|vk| {
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let VerifyingKey {
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alpha_g1,
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|
beta_g2,
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|
gamma_g2,
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delta_g2,
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gamma_abc_g1,
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} = vk.borrow().clone();
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let alpha_g1 = P::G1Gadget::alloc(cs.ns(|| "alpha_g1"), || Ok(alpha_g1.into_projective()))?;
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let beta_g2 =
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P::G2Gadget::alloc(cs.ns(|| "beta_g2"), || Ok(beta_g2.into_projective()))?;
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let gamma_g2 =
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P::G2Gadget::alloc(cs.ns(|| "gamma_g2"), || Ok(gamma_g2.into_projective()))?;
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let delta_g2 =
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P::G2Gadget::alloc(cs.ns(|| "delta_g2"), || Ok(delta_g2.into_projective()))?;
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let gamma_abc_g1 = gamma_abc_g1
|
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.into_iter()
|
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|
.enumerate()
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.map(|(i, gamma_abc_i)| {
|
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P::G1Gadget::alloc(cs.ns(|| format!("gamma_abc_{}", i)), || {
|
||||
|
Ok(gamma_abc_i.into_projective())
|
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|
})
|
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|
})
|
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|
.collect::<Vec<_>>()
|
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|
.into_iter()
|
||||
|
.collect::<Result<_, _>>()?;
|
||||
|
Ok(Self {
|
||||
|
alpha_g1,
|
||||
|
beta_g2,
|
||||
|
gamma_g2,
|
||||
|
delta_g2,
|
||||
|
gamma_abc_g1,
|
||||
|
})
|
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|
})
|
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|
}
|
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|
|
||||
|
#[inline]
|
||||
|
fn alloc_input<FN, T, CS: ConstraintSystem<ConstraintF>>(
|
||||
|
mut cs: CS,
|
||||
|
value_gen: FN,
|
||||
|
) -> Result<Self, SynthesisError>
|
||||
|
where
|
||||
|
FN: FnOnce() -> Result<T, SynthesisError>,
|
||||
|
T: Borrow<VerifyingKey<PairingE>>,
|
||||
|
{
|
||||
|
value_gen().and_then(|vk| {
|
||||
|
let VerifyingKey {
|
||||
|
alpha_g1,
|
||||
|
beta_g2,
|
||||
|
gamma_g2,
|
||||
|
delta_g2,
|
||||
|
gamma_abc_g1,
|
||||
|
} = vk.borrow().clone();
|
||||
|
let alpha_g1 = P::G1Gadget::alloc_input(cs.ns(|| "alpha_g1"), || Ok(alpha_g1.into_projective()))?;
|
||||
|
let beta_g2 =
|
||||
|
P::G2Gadget::alloc_input(cs.ns(|| "beta_g2"), || Ok(beta_g2.into_projective()))?;
|
||||
|
let gamma_g2 =
|
||||
|
P::G2Gadget::alloc_input(cs.ns(|| "gamma_g2"), || Ok(gamma_g2.into_projective()))?;
|
||||
|
let delta_g2 =
|
||||
|
P::G2Gadget::alloc_input(cs.ns(|| "delta_g2"), || Ok(delta_g2.into_projective()))?;
|
||||
|
|
||||
|
let gamma_abc_g1 = gamma_abc_g1
|
||||
|
.into_iter()
|
||||
|
.enumerate()
|
||||
|
.map(|(i, gamma_abc_i)| {
|
||||
|
P::G1Gadget::alloc_input(cs.ns(|| format!("gamma_abc_{}", i)), || {
|
||||
|
Ok(gamma_abc_i.into_projective())
|
||||
|
})
|
||||
|
})
|
||||
|
.collect::<Vec<_>>()
|
||||
|
.into_iter()
|
||||
|
.collect::<Result<_, _>>()?;
|
||||
|
|
||||
|
Ok(Self {
|
||||
|
alpha_g1,
|
||||
|
beta_g2,
|
||||
|
gamma_g2,
|
||||
|
delta_g2,
|
||||
|
gamma_abc_g1,
|
||||
|
})
|
||||
|
})
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
impl<PairingE, ConstraintF, P> AllocGadget<Proof<PairingE>, ConstraintF>
|
||||
|
for ProofGadget<PairingE, ConstraintF, P>
|
||||
|
where
|
||||
|
PairingE: PairingEngine,
|
||||
|
ConstraintF: Field,
|
||||
|
P: PairingGadget<PairingE, ConstraintF>,
|
||||
|
{
|
||||
|
#[inline]
|
||||
|
fn alloc<FN, T, CS: ConstraintSystem<ConstraintF>>(
|
||||
|
mut cs: CS,
|
||||
|
value_gen: FN,
|
||||
|
) -> Result<Self, SynthesisError>
|
||||
|
where
|
||||
|
FN: FnOnce() -> Result<T, SynthesisError>,
|
||||
|
T: Borrow<Proof<PairingE>>,
|
||||
|
{
|
||||
|
value_gen().and_then(|proof| {
|
||||
|
let Proof { a, b, c } = proof.borrow().clone();
|
||||
|
let a = P::G1Gadget::alloc_checked(cs.ns(|| "a"), || Ok(a.into_projective()))?;
|
||||
|
let b = P::G2Gadget::alloc_checked(cs.ns(|| "b"), || Ok(b.into_projective()))?;
|
||||
|
let c = P::G1Gadget::alloc_checked(cs.ns(|| "c"), || Ok(c.into_projective()))?;
|
||||
|
Ok(Self { a, b, c })
|
||||
|
})
|
||||
|
}
|
||||
|
|
||||
|
#[inline]
|
||||
|
fn alloc_input<FN, T, CS: ConstraintSystem<ConstraintF>>(
|
||||
|
mut cs: CS,
|
||||
|
value_gen: FN,
|
||||
|
) -> Result<Self, SynthesisError>
|
||||
|
where
|
||||
|
FN: FnOnce() -> Result<T, SynthesisError>,
|
||||
|
T: Borrow<Proof<PairingE>>,
|
||||
|
{
|
||||
|
value_gen().and_then(|proof| {
|
||||
|
let Proof { a, b, c } = proof.borrow().clone();
|
||||
|
// We don't need to check here because the prime order check can be performed
|
||||
|
// in plain.
|
||||
|
let a = P::G1Gadget::alloc_input(cs.ns(|| "a"), || Ok(a.into_projective()))?;
|
||||
|
let b = P::G2Gadget::alloc_input(cs.ns(|| "b"), || Ok(b.into_projective()))?;
|
||||
|
let c = P::G1Gadget::alloc_input(cs.ns(|| "c"), || Ok(c.into_projective()))?;
|
||||
|
Ok(Self { a, b, c })
|
||||
|
})
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
impl<PairingE, ConstraintF, P> ToBytesGadget<ConstraintF>
|
||||
|
for VerifyingKeyGadget<PairingE, ConstraintF, P>
|
||||
|
where
|
||||
|
PairingE: PairingEngine,
|
||||
|
ConstraintF: Field,
|
||||
|
P: PairingGadget<PairingE, ConstraintF>,
|
||||
|
{
|
||||
|
#[inline]
|
||||
|
fn to_bytes<CS: ConstraintSystem<ConstraintF>>(
|
||||
|
&self,
|
||||
|
mut cs: CS,
|
||||
|
) -> Result<Vec<UInt8>, SynthesisError> {
|
||||
|
let mut bytes = Vec::new();
|
||||
|
bytes.extend_from_slice(&self.alpha_g1.to_bytes(&mut cs.ns(|| "alpha_g1 to bytes"))?);
|
||||
|
bytes.extend_from_slice(
|
||||
|
&self
|
||||
|
.beta_g2
|
||||
|
.to_bytes(&mut cs.ns(|| "beta_g2 to bytes"))?,
|
||||
|
);
|
||||
|
bytes.extend_from_slice(
|
||||
|
&self
|
||||
|
.gamma_g2
|
||||
|
.to_bytes(&mut cs.ns(|| "gamma_g2 to bytes"))?,
|
||||
|
);
|
||||
|
bytes.extend_from_slice(
|
||||
|
&self
|
||||
|
.delta_g2
|
||||
|
.to_bytes(&mut cs.ns(|| "delta_g2 to bytes"))?,
|
||||
|
);
|
||||
|
for (i, g) in self.gamma_abc_g1.iter().enumerate() {
|
||||
|
let mut cs = cs.ns(|| format!("Iteration {}", i));
|
||||
|
bytes.extend_from_slice(&g.to_bytes(&mut cs.ns(|| "g"))?);
|
||||
|
}
|
||||
|
Ok(bytes)
|
||||
|
}
|
||||
|
|
||||
|
fn to_bytes_strict<CS: ConstraintSystem<ConstraintF>>(
|
||||
|
&self,
|
||||
|
cs: CS,
|
||||
|
) -> Result<Vec<UInt8>, SynthesisError> {
|
||||
|
self.to_bytes(cs)
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
#[cfg(test)]
|
||||
|
mod test {
|
||||
|
use groth16::*;
|
||||
|
use r1cs_core::{ConstraintSynthesizer, ConstraintSystem, SynthesisError};
|
||||
|
|
||||
|
use super::*;
|
||||
|
use algebra::{
|
||||
|
curves::bls12_377::Bls12_377,
|
||||
|
fields::bls12_377::Fr,
|
||||
|
fields::bls12_377::Fq,
|
||||
|
BitIterator, PrimeField,
|
||||
|
};
|
||||
|
use rand::{thread_rng, Rng};
|
||||
|
use r1cs_std::{
|
||||
|
boolean::Boolean, pairing::bls12_377::PairingGadget as Bls12_377PairingGadget,
|
||||
|
test_constraint_system::TestConstraintSystem,
|
||||
|
};
|
||||
|
|
||||
|
type TestProofSystem = Groth16<Bls12_377, Bench<Fr>, Fr>;
|
||||
|
type TestVerifierGadget = Groth16VerifierGadget<Bls12_377, Fq, Bls12_377PairingGadget>;
|
||||
|
type TestProofGadget = ProofGadget<Bls12_377, Fq, Bls12_377PairingGadget>;
|
||||
|
type TestVkGadget = VerifyingKeyGadget<Bls12_377, Fq, Bls12_377PairingGadget>;
|
||||
|
|
||||
|
struct Bench<F: Field> {
|
||||
|
inputs: Vec<Option<F>>,
|
||||
|
num_constraints: usize,
|
||||
|
}
|
||||
|
|
||||
|
impl<F: Field> ConstraintSynthesizer<F> for Bench<F> {
|
||||
|
fn generate_constraints<CS: ConstraintSystem<F>>(self, cs: &mut CS) -> Result<(), SynthesisError> {
|
||||
|
assert!(self.inputs.len() >= 2);
|
||||
|
assert!(self.num_constraints >= self.inputs.len());
|
||||
|
|
||||
|
let mut variables: Vec<_> = Vec::with_capacity(self.inputs.len());
|
||||
|
for (i, input) in self.inputs.into_iter().enumerate() {
|
||||
|
let input_var = cs.alloc_input(
|
||||
|
|| format!("Input {}", i),
|
||||
|
|| input.ok_or(SynthesisError::AssignmentMissing),
|
||||
|
)?;
|
||||
|
variables.push((input, input_var));
|
||||
|
}
|
||||
|
|
||||
|
for i in 0..self.num_constraints {
|
||||
|
let new_entry = {
|
||||
|
let (input_1_val, input_1_var) = variables[i];
|
||||
|
let (input_2_val, input_2_var) = variables[i + 1];
|
||||
|
let result_val = input_1_val
|
||||
|
.and_then(|input_1| input_2_val.map(|input_2| input_1 * &input_2));
|
||||
|
let result_var = cs.alloc(
|
||||
|
|| format!("Result {}", i),
|
||||
|
|| result_val.ok_or(SynthesisError::AssignmentMissing),
|
||||
|
)?;
|
||||
|
cs.enforce(
|
||||
|
|| format!("Enforce constraint {}", i),
|
||||
|
|lc| lc + input_1_var,
|
||||
|
|lc| lc + input_2_var,
|
||||
|
|lc| lc + result_var,
|
||||
|
);
|
||||
|
(result_val, result_var)
|
||||
|
};
|
||||
|
variables.push(new_entry);
|
||||
|
}
|
||||
|
Ok(())
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
#[test]
|
||||
|
fn groth16_verifier_test() {
|
||||
|
let num_inputs = 100;
|
||||
|
let num_constraints = num_inputs;
|
||||
|
let rng = &mut thread_rng();
|
||||
|
let mut inputs: Vec<Option<Fr>> = Vec::with_capacity(num_inputs);
|
||||
|
for _ in 0..num_inputs {
|
||||
|
inputs.push(Some(rng.gen()));
|
||||
|
}
|
||||
|
let params = {
|
||||
|
let c = Bench::<Fr> {
|
||||
|
inputs: vec![None; num_inputs],
|
||||
|
num_constraints,
|
||||
|
};
|
||||
|
|
||||
|
generate_random_parameters(c, rng).unwrap()
|
||||
|
};
|
||||
|
|
||||
|
{
|
||||
|
let proof = {
|
||||
|
// Create an instance of our circuit (with the
|
||||
|
// witness)
|
||||
|
let c = Bench {
|
||||
|
inputs: inputs.clone(),
|
||||
|
num_constraints,
|
||||
|
};
|
||||
|
// Create a groth16 proof with our parameters.
|
||||
|
create_random_proof(c, ¶ms, rng).unwrap()
|
||||
|
};
|
||||
|
|
||||
|
// assert!(!verify_proof(&pvk, &proof, &[a]).unwrap());
|
||||
|
let mut cs = TestConstraintSystem::<Fq>::new();
|
||||
|
|
||||
|
let inputs: Vec<_> = inputs.into_iter().map(|input| input.unwrap()).collect();
|
||||
|
let mut input_gadgets = Vec::new();
|
||||
|
|
||||
|
{
|
||||
|
let mut cs = cs.ns(|| "Allocate Input");
|
||||
|
for (i, input) in inputs.into_iter().enumerate() {
|
||||
|
let mut input_bits = BitIterator::new(input.into_repr()).collect::<Vec<_>>();
|
||||
|
// Input must be in little-endian, but BitIterator outputs in big-endian.
|
||||
|
input_bits.reverse();
|
||||
|
|
||||
|
let input_bits =
|
||||
|
Vec::<Boolean>::alloc_input(cs.ns(|| format!("Input {}", i)), || {
|
||||
|
Ok(input_bits)
|
||||
|
})
|
||||
|
.unwrap();
|
||||
|
input_gadgets.push(input_bits);
|
||||
|
}
|
||||
|
}
|
||||
|
|
||||
|
let vk_gadget = TestVkGadget::alloc_input(cs.ns(|| "Vk"), || Ok(¶ms.vk)).unwrap();
|
||||
|
let proof_gadget =
|
||||
|
TestProofGadget::alloc(cs.ns(|| "Proof"), || Ok(proof.clone())).unwrap();
|
||||
|
println!("Time to verify!\n\n\n\n");
|
||||
|
<TestVerifierGadget as NIZKVerifierGadget<TestProofSystem, Fq>>::check_verify(
|
||||
|
cs.ns(|| "Verify"),
|
||||
|
&vk_gadget,
|
||||
|
input_gadgets.iter(),
|
||||
|
&proof_gadget,
|
||||
|
)
|
||||
|
.unwrap();
|
||||
|
if !cs.is_satisfied() {
|
||||
|
println!("=========================================================");
|
||||
|
println!("Unsatisfied constraints:");
|
||||
|
println!("{:?}", cs.which_is_unsatisfied().unwrap());
|
||||
|
println!("=========================================================");
|
||||
|
}
|
||||
|
|
||||
|
// cs.print_named_objects();
|
||||
|
assert!(cs.is_satisfied());
|
||||
|
}
|
||||
|
}
|
||||
|
}
|
@ -0,0 +1,81 @@ |
|||||
|
use algebra::PairingEngine;
|
||||
|
use crate::Error;
|
||||
|
use rand::Rng;
|
||||
|
use groth16::{
|
||||
|
create_random_proof, generate_random_parameters, prepare_verifying_key, verify_proof,
|
||||
|
Parameters, PreparedVerifyingKey, Proof, VerifyingKey,
|
||||
|
};
|
||||
|
use r1cs_core::ConstraintSynthesizer;
|
||||
|
|
||||
|
use algebra::ToConstraintField;
|
||||
|
use std::marker::PhantomData;
|
||||
|
|
||||
|
use super::NIZK;
|
||||
|
|
||||
|
#[cfg(feature = "r1cs")]
|
||||
|
pub mod constraints;
|
||||
|
|
||||
|
/// Note: V should serialize its contents to `Vec<E::Fr>` in the same order as
|
||||
|
/// during the constraint generation.
|
||||
|
pub struct Groth16<E: PairingEngine, C: ConstraintSynthesizer<E::Fr>, V: ToConstraintField<E::Fr> + ?Sized> {
|
||||
|
#[doc(hidden)]
|
||||
|
_engine: PhantomData<E>,
|
||||
|
#[doc(hidden)]
|
||||
|
_circuit: PhantomData<C>,
|
||||
|
#[doc(hidden)]
|
||||
|
_verifier_input: PhantomData<V>,
|
||||
|
}
|
||||
|
|
||||
|
impl<E: PairingEngine, C: ConstraintSynthesizer<E::Fr>, V: ToConstraintField<E::Fr> + ?Sized> NIZK for Groth16<E, C, V> {
|
||||
|
type Circuit = C;
|
||||
|
type AssignedCircuit = C;
|
||||
|
type ProvingParameters = Parameters<E>;
|
||||
|
type VerificationParameters = VerifyingKey<E>;
|
||||
|
type PreparedVerificationParameters = PreparedVerifyingKey<E>;
|
||||
|
type VerifierInput = V;
|
||||
|
type Proof = Proof<E>;
|
||||
|
|
||||
|
fn setup<R: Rng>(
|
||||
|
circuit: Self::Circuit,
|
||||
|
rng: &mut R,
|
||||
|
) -> Result<
|
||||
|
(
|
||||
|
Self::ProvingParameters,
|
||||
|
Self::PreparedVerificationParameters,
|
||||
|
),
|
||||
|
Error,
|
||||
|
> {
|
||||
|
let nizk_time = start_timer!(|| "{Groth-Maller 2017}::Setup");
|
||||
|
let pp = generate_random_parameters::<E, Self::Circuit, R>(circuit, rng)?;
|
||||
|
let vk = prepare_verifying_key(&pp.vk);
|
||||
|
end_timer!(nizk_time);
|
||||
|
Ok((pp, vk))
|
||||
|
}
|
||||
|
|
||||
|
fn prove<R: Rng>(
|
||||
|
pp: &Self::ProvingParameters,
|
||||
|
input_and_witness: Self::AssignedCircuit,
|
||||
|
rng: &mut R,
|
||||
|
) -> Result<Self::Proof, Error> {
|
||||
|
let proof_time = start_timer!(|| "{Groth-Maller 2017}::Prove");
|
||||
|
let result = create_random_proof::<E, _, _>(input_and_witness, pp, rng)?;
|
||||
|
end_timer!(proof_time);
|
||||
|
Ok(result)
|
||||
|
}
|
||||
|
|
||||
|
fn verify(
|
||||
|
vk: &Self::PreparedVerificationParameters,
|
||||
|
input: &Self::VerifierInput,
|
||||
|
proof: &Self::Proof,
|
||||
|
) -> Result<bool, Error> {
|
||||
|
let verify_time = start_timer!(|| "{Groth-Maller 2017}::Verify");
|
||||
|
let conversion_time = start_timer!(|| "Convert input to E::Fr");
|
||||
|
let input = input.to_field_elements()?;
|
||||
|
end_timer!(conversion_time);
|
||||
|
let verification = start_timer!(|| format!("Verify proof w/ input len: {}", input.len()));
|
||||
|
let result = verify_proof(&vk, proof, &input)?;
|
||||
|
end_timer!(verification);
|
||||
|
end_timer!(verify_time);
|
||||
|
Ok(result)
|
||||
|
}
|
||||
|
}
|