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@ -91,13 +91,11 @@ impl SimpleGenerator for Mod65537Generator { |
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let a = src.read_target()?;
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let q = src.read_target()?;
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let r = src.read_target()?;
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OK(Self { a, q, r })
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Ok(Self { a, q, r })
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}
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}
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pub struct SchnorrBuilder {
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}
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pub struct SchnorrBuilder {}
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impl SchnorrBuilder {
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// Reduce a modulo the constant 65537
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@ -111,11 +109,11 @@ impl SchnorrBuilder { |
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// (these first two checks guarantee that a lies in the range [0, p + 65536])
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// if q = floor(p / 65537) then r = 0
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// (note that p % 65537 == 1 so this is the only possibility)
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fn mod_65537 <
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C: GenericConfig<2, F = GoldF>,
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pub(crate) fn mod_65537 <
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//C: GenericConfig<2, F = GoldF>,
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> (
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builder: &mut CircuitBuilder::<GoldF, 2>,
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a: &Target,
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a: Target,
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) -> Target {
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let q = builder.add_virtual_target();
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let r = builder.add_virtual_target();
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@ -127,27 +125,34 @@ impl SchnorrBuilder { |
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// 1. a = 65537 * q + r
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let t65537 = builder.constant(GoldF::from_canonical_u64(65537));
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let a_copy = builder.mul_add(t65537, q, r);
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builder.connect(*a, a_copy);
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builder.connect(a, a_copy);
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// 2. 0 <= q <= floor(p / 65537)
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// max_q is 281470681743360 = floor(p / 65537) = (p-1) / 65537 = 2^48 - 2^32
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let max_q = builder.constant(GoldF::from_canonical_u64(281470681743360));
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builder.range_check(q, 48);
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builder.range_check(builder.sub(max_q, q), 48);
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let diff_q = builder.sub(max_q, q);
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builder.range_check(diff_q, 48);
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// 3. 0 <= r < 65537
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let max_r = builder.constant(GoldF::from_canonical_u64(65537));
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builder.range_check(r, 17);
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builder.range_check(builder.sub(max_r, r), 17);
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let diff_r = builder.sub(max_r, r);
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builder.range_check(diff_r, 17);
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// 4. if q = floor(p / 65537) then r = 0
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let q_equals_max = builder.is_equal(q, max_q);
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builder.connect(builder.mul(q_equals_max.target, r), builder.zero());
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let prod_temp = builder.mul(q_equals_max.target, r);
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let zero_temp = builder.zero();
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builder.connect(prod_temp, zero_temp);
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// throw in the Generator to tell builder how to compute r
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builder.add_simple_generator( Mod65537Generator {a, q, r} );
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r
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}
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fn constrain_sig <
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pub fn constrain_sig <
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C: GenericConfig<2, F = GoldF>,
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> (
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&self,
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@ -156,6 +161,8 @@ impl SchnorrBuilder { |
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msg: &MessageTarget,
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pk: &SchnorrPublicKeyTarget,
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) -> () {
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println!("WARNING constrain_sig() is not done yet DONT USE IT");
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let PRIME_GROUP_GEN: Target = builder.constant(GoldF::from_canonical_u64(6612579038192137166));
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let PRIME_GROUP_ORDER: Target = builder.constant(GoldF::from_canonical_u64(65537));
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const num_bits_exp: usize = 32;
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@ -177,7 +184,7 @@ impl SchnorrBuilder { |
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.collect();
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let e: Target = builder.hash_n_to_hash_no_pad::<PoseidonHash>(
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hash_input,
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).elements[0] // whoops have to take mod group order;
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).elements[0]; // whoops have to take mod group order;
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// enforce equality
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builder.connect(e, sig.e);
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@ -188,12 +195,46 @@ impl SchnorrBuilder { |
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mod tests{
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use crate::schnorr::{SchnorrPublicKey, SchnorrSecretKey, SchnorrSigner, SchnorrSignature};
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use crate::schnorr_prover::SchnorrBuilder;
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use plonky2::iop::target::Target;
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use plonky2::iop::witness::{PartialWitness, PartitionWitness, Witness, WitnessWrite};
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use plonky2::plonk::circuit_builder::CircuitBuilder;
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use plonky2::plonk::circuit_data::{CircuitConfig, CircuitData, CommonCircuitData, VerifierCircuitData, VerifierOnlyCircuitData};
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use plonky2::plonk::config::{GenericConfig, PoseidonGoldilocksConfig};
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use plonky2::field::goldilocks_field::GoldilocksField;
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use plonky2::field::types::Field;
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use rand;
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#[test]
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fn test_mod65537() -> () {
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const D: usize = 2;
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const p: u64 = 18446744069414584321; // the Goldilocks prime
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type C = PoseidonGoldilocksConfig;
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type F = <C as GenericConfig<D>>::F;
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let config = CircuitConfig::standard_recursion_config();
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let mut builder = CircuitBuilder::<F, D>::new(config);
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let a: Vec<Target> = vec![0, 1, 2, 65535, 65536, 65537, p - 4, p - 3, p - 2, p - 1]
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.into_iter()
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.map(|x| builder.constant(GoldilocksField::from_canonical_u64(x)))
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.collect();
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//let r0 = SchnorrBuilder::mod_65537(&mut builder, &a[0]);
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let r: Vec<Target> = a.iter()
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.map(|targ| SchnorrBuilder::mod_65537(&mut builder, *targ))
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.collect();
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builder.register_public_inputs(&a);
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let mut pw: PartialWitness<F> = PartialWitness::new();
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let data = builder.build::<C>();
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let proof = data.prove(pw).ok()?;
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// introspect to check the values of stuff
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}
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#[test]
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fn test_schnorr() -> () {
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const D: usize = 2;
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@ -205,8 +246,6 @@ mod tests{ |
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let config = CircuitConfig::standard_recursion_config();
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let mut builder = CircuitBuilder::<F, D>::new(config);
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builder.add_virtual_fri_proof(num_leaves_per_oracle, params)
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let sb: SchnorrBuilder = SchnorrBuilder{};
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// create keypair, message, signature
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@ -218,7 +257,7 @@ mod tests{ |
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);
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let msg_size: usize = msg.len();
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let sig: SchnorrSignature = ss.sign(&msg, &sk, &mut rng);
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/*
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let sig_target = builder.constant(sig);
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// instead of verifying we're going to prove the verification
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sb.constrain_sig(
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@ -226,6 +265,6 @@ mod tests{ |
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&sig,
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&msg,
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&pk
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);
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); */
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}
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}
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