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@ -396,26 +396,103 @@ impl Impl for Bn128MulImpl {
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}
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}
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mod bn128_gen {
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use bn::{AffineG1, AffineG2, Fq, Fq2, G1, G2, Gt, pairing};
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lazy_static! {
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pub static ref P1: G1 = G1::from(AffineG1::new(
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Fq::from_str("1").expect("1 is a valid field element"),
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Fq::from_str("2").expect("2 is a valid field element"),
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).expect("Generator P1(1, 2) is a valid curve point"));
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}
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lazy_static! {
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pub static ref P2: G2 = G2::from(AffineG2::new(
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Fq2::new(
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Fq::from_str("1").expect("1 is a valid field element"),
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Fq::from_str("2").expect("2 is a valid field element"),
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),
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Fq2::new(
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Fq::from_str("1").expect("1 is a valid field element"),
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Fq::from_str("2").expect("2 is a valid field element"),
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),
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).expect("Generator P2(i+2b, i+2b) is a valid curve point"));
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}
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lazy_static! {
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pub static ref P1xP2: Gt = pairing(P1.clone(), P2.clone());
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}
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}
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impl Impl for Bn128ParingImpl {
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// Can fail if any of the 2 points does not belong the bn128 curve
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fn execute(&self, input: &[u8], output: &mut BytesRef) -> Result<(), Error> {
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use bn::{Fq, Fq2, AffineG1, AffineG2};
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use bn::{AffineG1, AffineG2, Fq, Fq2, pairing, G1, G2};
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let p1 = AffineG1::new(
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Fq::from_str("1").expect("1 is a valid field element"),
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Fq::from_str("2").expect("2 is a valid field element"),
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).expect("Generator P1(1, 2) is a valid curve point");
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let elements = input.len() / 192; // (a, b_a, b_b - each 64-byte affine coordinates)
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if input.len() % 192 != 0 {
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return Err("Invalid input length, must be multiple of 192 (3 * (32*2))".into())
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}
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let ret_val = if input.len() == 0 {
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U256::one()
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} else {
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let mut vals = Vec::new();
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for idx in 0..elements {
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let a_x = Fq::from_slice(&input[idx*192..idx*192+32])
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.map_err(|_| Error::from("Invalid a argument x coordinate"))?;
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let p2 = AffineG2::new(
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Fq2::new(
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Fq::from_str("1").expect("1 is a valid field element"),
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Fq::from_str("2").expect("2 is a valid field element"),
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),
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Fq2::new(
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Fq::from_str("1").expect("1 is a valid field element"),
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Fq::from_str("2").expect("2 is a valid field element"),
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),
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).expect("Generator P2(i+2b, i+2b) is a valid curve point");
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let a_y = Fq::from_slice(&input[idx*192+32..idx*192+64])
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.map_err(|_| Error::from("Invalid a argument y coordinate"))?;
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let b_b_x = Fq::from_slice(&input[idx*192+64..idx*192+96])
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.map_err(|_| Error::from("Invalid b argument imaginary coeff x coordinate"))?;
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let b_b_y = Fq::from_slice(&input[idx*192+96..idx*192+128])
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.map_err(|_| Error::from("Invalid b argument imaginary coeff y coordinate"))?;
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let b_a_x = Fq::from_slice(&input[idx*192+128..idx*192+160])
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.map_err(|_| Error::from("Invalid b argument real coeff x coordinate"))?;
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let b_a_y = Fq::from_slice(&input[idx*192+160..idx*192+192])
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.map_err(|_| Error::from("Invalid b argument real coeff y coordinate"))?;
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vals.push((
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G1::from(
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AffineG1::new(a_x, a_y).map_err(|_| Error::from("Invalid a argument - not on curve"))?
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),
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G2::from(
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AffineG2::new(
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Fq2::new(b_a_x, b_a_y),
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Fq2::new(b_b_x, b_b_y),
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).map_err(|_| Error::from("Invalid b argument - not on curve"))?
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),
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));
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};
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let mul = if elements == 1 {
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let (a, b) = vals[0];
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pairing(a, b)
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} else {
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let mut drain = vals.drain(..);
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let mut mul = {
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let (a, b) = drain.next()
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.expect("Checked above that elements > 1, so 0th element should exist; qed");
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pairing(a, b)
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};
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for _ in 1..elements {
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let (a, b) = drain.next()
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.expect("idx-th element should exist, because we do next() no more than elements-1 times; qed");
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mul = mul * pairing(a, b);
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}
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mul
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};
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if mul == *bn128_gen::P1xP2 {
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U256::one()
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} else {
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U256::zero()
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}
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};
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Ok(())
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}
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