584 lines
20 KiB
Rust
584 lines
20 KiB
Rust
//! The sigma proofs for transfer fees.
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//!
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//! TODO: Add detail on how the fee is calculated.
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#[cfg(not(target_arch = "bpf"))]
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use {
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crate::encryption::pedersen::{PedersenCommitment, PedersenOpening, G, H},
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rand::rngs::OsRng,
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};
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use {
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crate::{sigma_proofs::errors::FeeSigmaProofError, transcript::TranscriptProtocol},
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arrayref::{array_ref, array_refs},
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curve25519_dalek::{
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ristretto::{CompressedRistretto, RistrettoPoint},
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scalar::Scalar,
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traits::{IsIdentity, MultiscalarMul, VartimeMultiscalarMul},
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},
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merlin::Transcript,
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subtle::{Choice, ConditionallySelectable, ConstantTimeGreater},
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};
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/// Fee sigma proof.
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///
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/// The proof consists of two main components: `fee_max_proof` and `fee_equality_proof`. If the fee
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/// surpasses the maximum fee bound, then the `fee_max_proof` should properly be generated and
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/// `fee_equality_proof` should be simulated. If the fee is below the maximum fee bound, then the
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/// `fee_equality_proof` should be properly generated and `fee_max_proof` should be simulated.
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#[derive(Clone)]
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pub struct FeeSigmaProof {
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/// Proof that the committed fee amount equals the maximum fee bound
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fee_max_proof: FeeMaxProof,
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/// Proof that the "real" delta value is equal to the "claimed" delta value
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fee_equality_proof: FeeEqualityProof,
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}
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#[allow(non_snake_case, dead_code)]
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#[cfg(not(target_arch = "bpf"))]
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impl FeeSigmaProof {
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/// Creates a fee sigma proof assuming that the committed fee is greater than the maximum fee
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/// bound.
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///
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/// * `(fee_amount, commitment_fee, opening_fee)` - The amount, Pedersen commitment, and
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/// opening of the transfer fee
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/// * `(delta_fee, commitment_delta, opening_delta)` - The amount, Pedersen commitment, and
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/// opening of the "real" delta amount
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/// * `(commitment_claimed, opening_claimed)` - The Pedersen commitment and opening of the
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/// "claimed" delta amount
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/// * `max_fee` - The maximum fee bound
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/// * `transcript` - The transcript that does the bookkeeping for the Fiat-Shamir heuristic
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pub fn new(
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(fee_amount, commitment_fee, opening_fee): (u64, &PedersenCommitment, &PedersenOpening),
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(delta_fee, commitment_delta, opening_delta): (u64, &PedersenCommitment, &PedersenOpening),
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(commitment_claimed, opening_claimed): (&PedersenCommitment, &PedersenOpening),
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max_fee: u64,
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transcript: &mut Transcript,
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) -> Self {
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let mut transcript_fee_above_max = transcript.clone();
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let mut transcript_fee_below_max = transcript.clone();
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// compute proof for both cases `fee_amount' >= `max_fee` and `fee_amount` < `max_fee`
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let proof_fee_above_max = Self::create_proof_fee_above_max(
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opening_fee,
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commitment_delta,
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commitment_claimed,
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&mut transcript_fee_above_max,
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);
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let proof_fee_below_max = Self::create_proof_fee_below_max(
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commitment_fee,
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(delta_fee, opening_delta),
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opening_claimed,
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max_fee,
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&mut transcript_fee_below_max,
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);
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let below_max = u64::ct_gt(&max_fee, &fee_amount);
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// conditionally assign transcript; transcript is not conditionally selectable
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if bool::from(below_max) {
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*transcript = transcript_fee_below_max;
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} else {
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*transcript = transcript_fee_above_max;
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}
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Self {
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fee_max_proof: FeeMaxProof::conditional_select(
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&proof_fee_above_max.fee_max_proof,
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&proof_fee_below_max.fee_max_proof,
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below_max,
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),
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fee_equality_proof: FeeEqualityProof::conditional_select(
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&proof_fee_above_max.fee_equality_proof,
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&proof_fee_below_max.fee_equality_proof,
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below_max,
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),
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}
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}
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/// Creates a fee sigma proof assuming that the committed fee is greater than the maximum fee
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/// bound.
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///
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/// * `opening_fee` - The opening of the Pedersen commitment of the transfer fee
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/// * `commitment_delta` - The Pedersen commitment of the "real" delta value
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/// * `commitment_claimed` - The Pedersen commitment of the "claimed" delta value
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/// * `transcript` - The transcript that does the bookkeeping for the Fiat-Shamir heuristic
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fn create_proof_fee_above_max(
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opening_fee: &PedersenOpening,
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commitment_delta: &PedersenCommitment,
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commitment_claimed: &PedersenCommitment,
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transcript: &mut Transcript,
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) -> Self {
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// simulate equality proof
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let C_delta = commitment_delta.get_point();
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let C_claimed = commitment_claimed.get_point();
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let z_x = Scalar::random(&mut OsRng);
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let z_delta = Scalar::random(&mut OsRng);
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let z_claimed = Scalar::random(&mut OsRng);
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let c_equality = Scalar::random(&mut OsRng);
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let Y_delta = RistrettoPoint::multiscalar_mul(
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vec![z_x, z_delta, -c_equality],
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vec![&(*G), &(*H), C_delta],
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)
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.compress();
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let Y_claimed = RistrettoPoint::multiscalar_mul(
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vec![z_x, z_claimed, -c_equality],
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vec![&(*G), &(*H), C_claimed],
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)
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.compress();
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let fee_equality_proof = FeeEqualityProof {
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Y_delta,
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Y_claimed,
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z_x,
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z_delta,
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z_claimed,
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};
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// generate max proof
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let r_fee = opening_fee.get_scalar();
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let y_max_proof = Scalar::random(&mut OsRng);
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let Y_max_proof = (y_max_proof * &(*H)).compress();
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transcript.append_point(b"Y_max_proof", &Y_max_proof);
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transcript.append_point(b"Y_delta", &Y_delta);
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transcript.append_point(b"Y_claimed", &Y_claimed);
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let c = transcript.challenge_scalar(b"c");
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let c_max_proof = c - c_equality;
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transcript.challenge_scalar(b"w");
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let z_max_proof = c_max_proof * r_fee + y_max_proof;
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let fee_max_proof = FeeMaxProof {
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Y_max_proof,
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z_max_proof,
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c_max_proof,
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};
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Self {
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fee_max_proof,
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fee_equality_proof,
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}
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}
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/// Creates a fee sigma proof assuming that the committed fee is less than the maximum fee
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/// bound.
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///
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/// * `commitment_fee` - The Pedersen commitment of the transfer fee
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/// * `(delta_fee, opening_delta)` - The Pedersen commitment and opening of the "real" delta
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/// value
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/// * `opening_claimed` - The opening of the Pedersen commitment of the "claimed" delta value
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/// * `max_fee` - The maximum fee bound
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/// * `transcript` - The transcript that does the bookkeeping for the Fiat-Shamir heuristic
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fn create_proof_fee_below_max(
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commitment_fee: &PedersenCommitment,
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(delta_fee, opening_delta): (u64, &PedersenOpening),
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opening_claimed: &PedersenOpening,
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max_fee: u64,
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transcript: &mut Transcript,
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) -> Self {
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// simulate max proof
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let m = Scalar::from(max_fee);
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let C_fee = commitment_fee.get_point();
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let z_max_proof = Scalar::random(&mut OsRng);
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let c_max_proof = Scalar::random(&mut OsRng); // random challenge
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// solve for Y_max in the verification algebraic relation
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let Y_max_proof = RistrettoPoint::multiscalar_mul(
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vec![z_max_proof, -c_max_proof, c_max_proof * m],
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vec![&(*H), C_fee, &(*G)],
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)
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.compress();
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let fee_max_proof = FeeMaxProof {
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Y_max_proof,
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z_max_proof,
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c_max_proof,
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};
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// generate equality proof
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let x = Scalar::from(delta_fee);
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let r_delta = opening_delta.get_scalar();
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let r_claimed = opening_claimed.get_scalar();
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let y_x = Scalar::random(&mut OsRng);
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let y_delta = Scalar::random(&mut OsRng);
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let y_claimed = Scalar::random(&mut OsRng);
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let Y_delta =
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RistrettoPoint::multiscalar_mul(vec![y_x, y_delta], vec![&(*G), &(*H)]).compress();
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let Y_claimed =
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RistrettoPoint::multiscalar_mul(vec![y_x, y_claimed], vec![&(*G), &(*H)]).compress();
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transcript.append_point(b"Y_max_proof", &Y_max_proof);
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transcript.append_point(b"Y_delta", &Y_delta);
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transcript.append_point(b"Y_claimed", &Y_claimed);
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let c = transcript.challenge_scalar(b"c");
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let c_equality = c - c_max_proof;
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transcript.challenge_scalar(b"w");
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let z_x = c_equality * x + y_x;
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let z_delta = c_equality * r_delta + y_delta;
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let z_claimed = c_equality * r_claimed + y_claimed;
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let fee_equality_proof = FeeEqualityProof {
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Y_delta,
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Y_claimed,
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z_x,
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z_delta,
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z_claimed,
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};
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Self {
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fee_max_proof,
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fee_equality_proof,
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}
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}
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/// Fee sigma proof verifier.
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///
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/// * `commitment_fee` - The Pedersen commitment of the transfer fee
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/// * `commitment_delta` - The Pedersen commitment of the "real" delta value
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/// * `commitment_claimed` - The Pedersen commitment of the "claimed" delta value
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/// * `max_fee` - The maximum fee bound
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/// * `transcript` - The transcript that does the bookkeeping for the Fiat-Shamir heuristic
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pub fn verify(
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self,
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commitment_fee: &PedersenCommitment,
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commitment_delta: &PedersenCommitment,
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commitment_claimed: &PedersenCommitment,
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max_fee: u64,
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transcript: &mut Transcript,
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) -> Result<(), FeeSigmaProofError> {
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// extract the relevant scalar and Ristretto points from the input
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let m = Scalar::from(max_fee);
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let C_max = commitment_fee.get_point();
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let C_delta = commitment_delta.get_point();
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let C_claimed = commitment_claimed.get_point();
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transcript.validate_and_append_point(b"Y_max_proof", &self.fee_max_proof.Y_max_proof)?;
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transcript.validate_and_append_point(b"Y_delta", &self.fee_equality_proof.Y_delta)?;
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transcript.validate_and_append_point(b"Y_claimed", &self.fee_equality_proof.Y_claimed)?;
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let Y_max = self
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.fee_max_proof
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.Y_max_proof
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.decompress()
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.ok_or(FeeSigmaProofError::Format)?;
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let z_max = self.fee_max_proof.z_max_proof;
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let Y_delta_real = self
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.fee_equality_proof
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.Y_delta
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.decompress()
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.ok_or(FeeSigmaProofError::Format)?;
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let Y_claimed = self
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.fee_equality_proof
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.Y_claimed
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.decompress()
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.ok_or(FeeSigmaProofError::Format)?;
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let z_x = self.fee_equality_proof.z_x;
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let z_delta_real = self.fee_equality_proof.z_delta;
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let z_claimed = self.fee_equality_proof.z_claimed;
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let c = transcript.challenge_scalar(b"c");
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let c_max_proof = self.fee_max_proof.c_max_proof;
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let c_equality = c - c_max_proof;
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let w = transcript.challenge_scalar(b"w");
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let ww = w * w;
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let check = RistrettoPoint::vartime_multiscalar_mul(
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vec![
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c_max_proof,
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-c_max_proof * m,
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-z_max,
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Scalar::one(),
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w * z_x,
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w * z_delta_real,
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-w * c_equality,
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-w,
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ww * z_x,
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ww * z_claimed,
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-ww * c_equality,
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-ww,
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],
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vec![
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C_max,
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&(*G),
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&(*H),
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&Y_max,
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&(*G),
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&(*H),
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C_delta,
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&Y_delta_real,
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&(*G),
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&(*H),
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C_claimed,
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&Y_claimed,
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],
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);
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if check.is_identity() {
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Ok(())
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} else {
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Err(FeeSigmaProofError::AlgebraicRelation)
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}
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}
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pub fn to_bytes(&self) -> [u8; 256] {
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let mut buf = [0_u8; 256];
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buf[..32].copy_from_slice(self.fee_max_proof.Y_max_proof.as_bytes());
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buf[32..64].copy_from_slice(self.fee_max_proof.z_max_proof.as_bytes());
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buf[64..96].copy_from_slice(self.fee_max_proof.c_max_proof.as_bytes());
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buf[96..128].copy_from_slice(self.fee_equality_proof.Y_delta.as_bytes());
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buf[128..160].copy_from_slice(self.fee_equality_proof.Y_claimed.as_bytes());
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buf[160..192].copy_from_slice(self.fee_equality_proof.z_x.as_bytes());
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buf[192..224].copy_from_slice(self.fee_equality_proof.z_delta.as_bytes());
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buf[224..256].copy_from_slice(self.fee_equality_proof.z_claimed.as_bytes());
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buf
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}
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pub fn from_bytes(bytes: &[u8]) -> Result<Self, FeeSigmaProofError> {
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let bytes = array_ref![bytes, 0, 256];
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let (Y_max_proof, z_max_proof, c_max_proof, Y_delta, Y_claimed, z_x, z_delta, z_claimed) =
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array_refs![bytes, 32, 32, 32, 32, 32, 32, 32, 32];
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let Y_max_proof = CompressedRistretto::from_slice(Y_max_proof);
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let z_max_proof =
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Scalar::from_canonical_bytes(*z_max_proof).ok_or(FeeSigmaProofError::Format)?;
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let c_max_proof =
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Scalar::from_canonical_bytes(*c_max_proof).ok_or(FeeSigmaProofError::Format)?;
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let Y_delta = CompressedRistretto::from_slice(Y_delta);
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let Y_claimed = CompressedRistretto::from_slice(Y_claimed);
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let z_x = Scalar::from_canonical_bytes(*z_x).ok_or(FeeSigmaProofError::Format)?;
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let z_delta = Scalar::from_canonical_bytes(*z_delta).ok_or(FeeSigmaProofError::Format)?;
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let z_claimed =
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Scalar::from_canonical_bytes(*z_claimed).ok_or(FeeSigmaProofError::Format)?;
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Ok(Self {
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fee_max_proof: FeeMaxProof {
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Y_max_proof,
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z_max_proof,
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c_max_proof,
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},
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fee_equality_proof: FeeEqualityProof {
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Y_delta,
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Y_claimed,
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z_x,
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z_delta,
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z_claimed,
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},
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})
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}
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}
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/// The fee max proof.
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///
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/// The proof certifies that the transfer fee Pedersen commitment encodes the maximum fee bound.
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#[allow(non_snake_case)]
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#[derive(Clone, Copy)]
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pub struct FeeMaxProof {
|
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Y_max_proof: CompressedRistretto,
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z_max_proof: Scalar,
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c_max_proof: Scalar,
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}
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impl ConditionallySelectable for FeeMaxProof {
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fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self {
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Self {
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Y_max_proof: conditional_select_ristretto(&a.Y_max_proof, &b.Y_max_proof, choice),
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z_max_proof: Scalar::conditional_select(&a.z_max_proof, &b.z_max_proof, choice),
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c_max_proof: Scalar::conditional_select(&a.c_max_proof, &b.c_max_proof, choice),
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}
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}
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}
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|
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/// The fee equality proof.
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///
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/// The proof certifies that the "real" delta value commitment and the "claimed" delta value
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/// commitment encode the same message.
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#[allow(non_snake_case)]
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#[derive(Clone, Copy)]
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pub struct FeeEqualityProof {
|
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Y_delta: CompressedRistretto,
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Y_claimed: CompressedRistretto,
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z_x: Scalar,
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z_delta: Scalar,
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z_claimed: Scalar,
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}
|
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|
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impl ConditionallySelectable for FeeEqualityProof {
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fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self {
|
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Self {
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Y_delta: conditional_select_ristretto(&a.Y_delta, &b.Y_delta, choice),
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Y_claimed: conditional_select_ristretto(&a.Y_claimed, &b.Y_claimed, choice),
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z_x: Scalar::conditional_select(&a.z_x, &b.z_x, choice),
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z_delta: Scalar::conditional_select(&a.z_delta, &b.z_delta, choice),
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z_claimed: Scalar::conditional_select(&a.z_claimed, &b.z_claimed, choice),
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}
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}
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}
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|
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#[allow(clippy::needless_range_loop)]
|
|
fn conditional_select_ristretto(
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a: &CompressedRistretto,
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b: &CompressedRistretto,
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choice: Choice,
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) -> CompressedRistretto {
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let mut bytes = [0u8; 32];
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for i in 0..32 {
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bytes[i] = u8::conditional_select(&a.as_bytes()[i], &b.as_bytes()[i], choice);
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}
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CompressedRistretto(bytes)
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}
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|
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#[cfg(test)]
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mod test {
|
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use {super::*, crate::encryption::pedersen::Pedersen};
|
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|
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#[test]
|
|
fn test_fee_above_max_proof() {
|
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let transfer_amount: u64 = 55;
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let max_fee: u64 = 3;
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|
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let rate_fee: u16 = 555; // 5.55%
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let amount_fee: u64 = 4;
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let delta: u64 = 9475; // 4*10000 - 55*555
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|
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let (commitment_transfer, opening_transfer) = Pedersen::new(transfer_amount);
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let (commitment_fee, opening_fee) = Pedersen::new(max_fee);
|
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|
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let scalar_rate = Scalar::from(rate_fee);
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let commitment_delta =
|
|
&commitment_fee * &Scalar::from(10000_u64) - &commitment_transfer * &scalar_rate;
|
|
let opening_delta =
|
|
&opening_fee * &Scalar::from(10000_u64) - &opening_transfer * &scalar_rate;
|
|
|
|
let (commitment_claimed, opening_claimed) = Pedersen::new(0_u64);
|
|
|
|
let mut transcript_prover = Transcript::new(b"test");
|
|
let mut transcript_verifier = Transcript::new(b"test");
|
|
|
|
let proof = FeeSigmaProof::new(
|
|
(amount_fee, &commitment_fee, &opening_fee),
|
|
(delta, &commitment_delta, &opening_delta),
|
|
(&commitment_claimed, &opening_claimed),
|
|
max_fee,
|
|
&mut transcript_prover,
|
|
);
|
|
|
|
assert!(proof
|
|
.verify(
|
|
&commitment_fee,
|
|
&commitment_delta,
|
|
&commitment_claimed,
|
|
max_fee,
|
|
&mut transcript_verifier,
|
|
)
|
|
.is_ok());
|
|
}
|
|
|
|
#[test]
|
|
fn test_fee_below_max_proof() {
|
|
let transfer_amount: u64 = 55;
|
|
let max_fee: u64 = 77;
|
|
|
|
let rate_fee: u16 = 555; // 5.55%
|
|
let amount_fee: u64 = 4;
|
|
let delta: u64 = 9475; // 4*10000 - 55*555
|
|
|
|
let (commitment_transfer, opening_transfer) = Pedersen::new(transfer_amount);
|
|
let (commitment_fee, opening_fee) = Pedersen::new(amount_fee);
|
|
|
|
let scalar_rate = Scalar::from(rate_fee);
|
|
let commitment_delta =
|
|
&commitment_fee * &Scalar::from(10000_u64) - &commitment_transfer * &scalar_rate;
|
|
let opening_delta =
|
|
&opening_fee * &Scalar::from(10000_u64) - &opening_transfer * &scalar_rate;
|
|
|
|
let (commitment_claimed, opening_claimed) = Pedersen::new(delta);
|
|
|
|
assert_eq!(
|
|
commitment_delta.get_point() - opening_delta.get_scalar() * &(*H),
|
|
commitment_claimed.get_point() - opening_claimed.get_scalar() * &(*H)
|
|
);
|
|
|
|
let mut transcript_prover = Transcript::new(b"test");
|
|
let mut transcript_verifier = Transcript::new(b"test");
|
|
|
|
let proof = FeeSigmaProof::new(
|
|
(amount_fee, &commitment_fee, &opening_fee),
|
|
(delta, &commitment_delta, &opening_delta),
|
|
(&commitment_claimed, &opening_claimed),
|
|
max_fee,
|
|
&mut transcript_prover,
|
|
);
|
|
|
|
assert!(proof
|
|
.verify(
|
|
&commitment_fee,
|
|
&commitment_delta,
|
|
&commitment_claimed,
|
|
max_fee,
|
|
&mut transcript_verifier,
|
|
)
|
|
.is_ok());
|
|
}
|
|
|
|
#[test]
|
|
fn test_fee_delta_is_zero() {
|
|
let transfer_amount: u64 = 100;
|
|
let max_fee: u64 = 3;
|
|
|
|
let rate_fee: u16 = 100; // 1.00%
|
|
let amount_fee: u64 = 1;
|
|
let delta: u64 = 0; // 1*10000 - 100*100
|
|
|
|
let (commitment_transfer, opening_transfer) = Pedersen::new(transfer_amount);
|
|
let (commitment_fee, opening_fee) = Pedersen::new(amount_fee);
|
|
|
|
let scalar_rate = Scalar::from(rate_fee);
|
|
let commitment_delta =
|
|
&(&commitment_fee * &Scalar::from(10000_u64)) - &(&commitment_transfer * &scalar_rate);
|
|
let opening_delta =
|
|
&(&opening_fee * &Scalar::from(10000_u64)) - &(&opening_transfer * &scalar_rate);
|
|
|
|
let (commitment_claimed, opening_claimed) = Pedersen::new(delta);
|
|
|
|
let mut transcript_prover = Transcript::new(b"test");
|
|
let mut transcript_verifier = Transcript::new(b"test");
|
|
|
|
let proof = FeeSigmaProof::new(
|
|
(amount_fee, &commitment_fee, &opening_fee),
|
|
(delta, &commitment_delta, &opening_delta),
|
|
(&commitment_claimed, &opening_claimed),
|
|
max_fee,
|
|
&mut transcript_prover,
|
|
);
|
|
|
|
assert!(proof
|
|
.verify(
|
|
&commitment_fee,
|
|
&commitment_delta,
|
|
&commitment_claimed,
|
|
max_fee,
|
|
&mut transcript_verifier,
|
|
)
|
|
.is_ok());
|
|
}
|
|
}
|