From bf03be0b9de7b740379991c4b16cd20352667e70 Mon Sep 17 00:00:00 2001 From: Sean Bowe Date: Mon, 7 Aug 2017 07:43:39 -0600 Subject: [PATCH] Starting fresh... --- Cargo.toml | 12 +- benches/curve.rs | 235 ----- src/curves/bls381/ec.rs | 456 --------- src/curves/bls381/fp.rs | 771 --------------- src/curves/bls381/fq12.rs | 151 --- src/curves/bls381/fq2.rs | 156 --- src/curves/bls381/fq6.rs | 295 ------ src/curves/bls381/mod.rs | 1101 --------------------- src/curves/bls381/tests/g1_serialized.bin | Bin 969904 -> 0 bytes src/curves/bls381/tests/g2_serialized.bin | Bin 1929808 -> 0 bytes src/curves/bls381/tests/mod.rs | 41 - src/curves/domain.rs | 374 ------- src/curves/mod.rs | 258 ----- src/curves/multiexp.rs | 232 ----- src/curves/tests/curves.rs | 277 ------ src/curves/tests/fields.rs | 219 ---- src/curves/tests/mod.rs | 182 ---- src/curves/wnaf.rs | 110 -- src/groth16/mod.rs | 527 ---------- src/groth16/tests/mod.rs | 207 ---- src/lib.rs | 215 ---- 21 files changed, 6 insertions(+), 5813 deletions(-) delete mode 100644 benches/curve.rs delete mode 100644 src/curves/bls381/ec.rs delete mode 100644 src/curves/bls381/fp.rs delete mode 100644 src/curves/bls381/fq12.rs delete mode 100644 src/curves/bls381/fq2.rs delete mode 100644 src/curves/bls381/fq6.rs delete mode 100644 src/curves/bls381/mod.rs delete mode 100644 src/curves/bls381/tests/g1_serialized.bin delete mode 100644 src/curves/bls381/tests/g2_serialized.bin delete mode 100644 src/curves/bls381/tests/mod.rs delete mode 100644 src/curves/domain.rs delete mode 100644 src/curves/mod.rs delete mode 100644 src/curves/multiexp.rs delete mode 100644 src/curves/tests/curves.rs delete mode 100644 src/curves/tests/fields.rs delete mode 100644 src/curves/tests/mod.rs delete mode 100644 src/curves/wnaf.rs delete mode 100644 src/groth16/mod.rs delete mode 100644 src/groth16/tests/mod.rs delete mode 100644 src/lib.rs diff --git a/Cargo.toml b/Cargo.toml index 3fa69a3ee..e671bebc4 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -9,11 +9,11 @@ repository = "https://github.com/ebfull/bellman" version = "0.0.3" [dependencies] -rand = "0.3.*" -byteorder = "1.*" -serde = "1.0" -crossbeam = "0.2" -num_cpus = "1.0" +#rand = "0.3.*" +#byteorder = "1.*" +#serde = "1.0" +#crossbeam = "0.2" +#num_cpus = "1.0" [dev-dependencies] -bincode = "0.8.0" +#bincode = "0.8.0" diff --git a/benches/curve.rs b/benches/curve.rs deleted file mode 100644 index 18507c434..000000000 --- a/benches/curve.rs +++ /dev/null @@ -1,235 +0,0 @@ -#![feature(test)] -#![allow(unused_mut)] - -extern crate rand; -extern crate bellman; -extern crate test; - -use bellman::curves::*; -use bellman::curves::bls381::*; - -const SAMPLES: usize = 30; - -macro_rules! benchmark( - ($name:ident, $engine:ident, $input:ident($rng:ident) = $pre:expr; $post:expr) => ( - #[bench] - fn $name(b: &mut test::Bencher) { - let $rng = &mut rand::thread_rng(); - let $engine = &Bls381::new(); - let $input: Vec<_> = (0..SAMPLES).map(|_| $pre).collect(); - - let mut c = 0; - - b.iter(|| { - c += 1; - - let mut $input = $input[c % SAMPLES].clone(); - - $post - }) - } - ) -); - -benchmark!(g1_multiexp, e, - input(rng) = { - let mut g = G1::random(e, rng); - let mut a = G1::random(e, rng); - ( - (0..1000).map(|_| { - g.add_assign(e, &a); - a.double(e); - g.to_affine(e) - }).collect::>(), - (0..1000).map(|_| Fr::random(e, rng)).collect::>(), - ) - }; - - e.multiexp::(&input.0, &input.1) -); - -benchmark!(g2_multiexp, e, - input(rng) = { - let mut g = G2::random(e, rng); - let mut a = G2::random(e, rng); - ( - (0..1000).map(|_| { - g.add_assign(e, &a); - a.double(e); - g.to_affine(e) - }).collect::>(), - (0..1000).map(|_| Fr::random(e, rng)).collect::>(), - ) - }; - - e.multiexp::(&input.0, &input.1) -); - -benchmark!(full_pairing, e, - input(rng) = (G1::random(e, rng), G2::random(e, rng)); - - e.pairing(&input.0, &input.1) -); - -benchmark!(g1_pairing_preparation, e, - input(rng) = G1::random(e, rng); - - input.prepare(e) -); - -benchmark!(g2_pairing_preparation, e, - input(rng) = G2::random(e, rng); - - input.prepare(e) -); - -benchmark!(miller_loop, e, - input(rng) = (G1::random(e, rng).prepare(e), G2::random(e, rng).prepare(e)); - - e.miller_loop([(&input.0, &input.1)].into_iter()) -); - -benchmark!(double_miller_loop, e, - input(rng) = (G1::random(e, rng).prepare(e), G2::random(e, rng).prepare(e), G1::random(e, rng).prepare(e), G2::random(e, rng).prepare(e)); - - e.miller_loop([ - (&input.0, &input.1), - (&input.2, &input.3), - ].into_iter()) -); - -benchmark!(final_exponentiation, e, - input(rng) = e.miller_loop([ - (&G1::random(e, rng).prepare(e), &G2::random(e, rng).prepare(e)), - ].into_iter()); - - e.final_exponentiation(&input) -); - -macro_rules! group_tests( - ( - $name:ident, - $mul:ident, - $mul_mixed:ident, - $add:ident - ) => { - benchmark!($mul, e, - input(rng) = ($name::random(e, rng), Fr::random(e, rng)); - - {input.0.mul_assign(e, &input.1); input.0} - ); - - benchmark!($mul_mixed, e, - input(rng) = ($name::random(e, rng).to_affine(e), Fr::random(e, rng)); - - {input.0.mul(e, &input.1)} - ); - - benchmark!($add, e, - input(rng) = ($name::random(e, rng), $name::random(e, rng)); - - {input.0.add_assign(e, &input.1); input.0} - ); - }; -); - -macro_rules! field_tests( - ( - @nosqrt, - $name:ident, - $mul:ident, - $square:ident, - $add:ident, - $inverse:ident - ) => { - benchmark!($mul, e, - input(rng) = ($name::random(e, rng), $name::random(e, rng)); - - {input.0.mul_assign(e, &input.1); input.0} - ); - - benchmark!($square, e, - input(rng) = $name::random(e, rng); - - {input.square(e); input} - ); - - benchmark!($add, e, - input(rng) = ($name::random(e, rng), $name::random(e, rng)); - - {input.0.add_assign(e, &input.1); input.0} - ); - - benchmark!($inverse, e, - input(rng) = $name::random(e, rng); - - {input.inverse(e)} - ); - }; - ( - $name:ident, - $mul:ident, - $square:ident, - $add:ident, - $inverse:ident, - $sqrt:ident - ) => { - field_tests!(@nosqrt, $name, $mul, $square, $add, $inverse); - - benchmark!($sqrt, e, - input(rng) = {let mut tmp = $name::random(e, rng); tmp.square(e); tmp}; - - {input.sqrt(e)} - ); - }; -); - -field_tests!( - Fr, - fr_multiplication, - fr_squaring, - fr_addition, - fr_inverse, - fr_sqrt -); - -field_tests!( - Fq, - fq_multiplication, - fq_squaring, - fq_addition, - fq_inverse, - fq_sqrt -); - -field_tests!( - Fq2, - fq2_multiplication, - fq2_squaring, - fq2_addition, - fq2_inverse, - fq2_sqrt -); - -field_tests!( - @nosqrt, - Fq12, - fq12_multiplication, - fq12_squaring, - fq12_addition, - fq12_inverse -); - -group_tests!( - G1, - g1_multiplication, - g1_multiplication_mixed, - g1_addition -); - -group_tests!( - G2, - g2_multiplication, - g2_multiplication_mixed, - g2_addition -); diff --git a/src/curves/bls381/ec.rs b/src/curves/bls381/ec.rs deleted file mode 100644 index 4d4db81dc..000000000 --- a/src/curves/bls381/ec.rs +++ /dev/null @@ -1,456 +0,0 @@ -macro_rules! curve_impl { - ( - $engine:ident, - $name:ident, - $name_affine:ident, - $name_prepared:ident, - $name_uncompressed:ident, - $params_name:ident, - $params_field:ident, - $basefield:ident, - $scalarfield:ident - ) => { - #[repr(C)] - #[derive(Copy, Clone, PartialEq, Eq, Debug)] - pub struct $name_affine { - x: $basefield, - y: $basefield, - infinity: bool - } - - #[repr(C)] - #[derive(Copy, Clone, Debug)] - pub struct $name { - x: $basefield, - y: $basefield, - z: $basefield - } - - #[derive(Clone)] - struct $params_name { - zero: $name, - one: $name, - coeff_b: $basefield, - windows: Vec, - batch_windows: (usize, Vec) - } - - impl Convert<$name_affine, $engine> for $name { - type Target = $name_affine; - - fn convert(&self, engine: &$engine) -> Cow<$name_affine> { - Cow::Owned(self.to_affine(engine)) - } - } - - impl Group<$engine> for $name { - fn group_zero(e: &$engine) -> $name { - $name::zero(e) - } - fn group_mul_assign(&mut self, e: &$engine, scalar: &$scalarfield) { - self.mul_assign(e, scalar); - } - fn group_add_assign(&mut self, e: &$engine, other: &Self) { - self.add_assign(e, other); - } - fn group_sub_assign(&mut self, e: &$engine, other: &Self) { - self.sub_assign(e, other); - } - } - - impl CurveAffine<$engine> for $name_affine { - type Jacobian = $name; - type Uncompressed = $name_uncompressed; - - fn is_valid(&self, e: &$engine) -> bool { - if self.is_zero() { - true - } else { - // Check that the point is on the curve - let mut y2 = self.y; - y2.square(e); - - let mut x3b = self.x; - x3b.square(e); - x3b.mul_assign(e, &self.x); - x3b.add_assign(e, &e.$params_field.coeff_b); - - if y2 == x3b { - // Check that the point is in the correct subgroup - if self.mul(e, &$scalarfield::char(e)).is_zero() { - true - } else { - false - } - } else { - false - } - } - } - - fn to_uncompressed(&self, engine: &$engine) -> Self::Uncompressed { - $name_uncompressed::from_affine(self, engine) - } - - fn to_jacobian(&self, engine: &$engine) -> $name { - if self.infinity { - $name::zero(engine) - } else { - $name { - x: self.x, - y: self.y, - z: $basefield::one(engine) - } - } - } - - fn prepare(self, e: &$engine) -> $name_prepared { - $name_prepared::from_engine(e, self) - } - - fn is_zero(&self) -> bool { - self.infinity - } - - fn mul>::Repr, $engine>>(&self, e: &$engine, other: &S) -> $name { - let mut res = $name::zero(e); - - for i in BitIterator::new((*other.convert(e)).borrow()) - { - res.double(e); - - if i { - res.add_assign_mixed(e, self); - } - } - - res - } - - fn negate(&mut self, e: &$engine) { - if !self.is_zero() { - self.y.negate(e); - } - } - } - - impl multiexp::Projective<$engine> for $name { - type WindowTable = wnaf::WindowTable<$engine, $name>; - - fn identity(e: &$engine) -> Self { - Self::zero(e) - } - - fn add_to_projective(&self, e: &$engine, projective: &mut Self) { - projective.add_assign(e, self); - } - - fn exponentiate(&mut self, - e: &$engine, - scalar: <$scalarfield as PrimeField<$engine>>::Repr, - table: &mut Self::WindowTable, - scratch: &mut wnaf::WNAFTable - ) - { - *self = self.optimal_exp(e, scalar, table, scratch); - } - - fn new_window_table(e: &$engine) -> Self::WindowTable { - wnaf::WindowTable::<$engine, $name>::new(e, $name::zero(e), 2) - } - } - - impl Curve<$engine> for $name { - type Affine = $name_affine; - type Prepared = $name_prepared; - - fn optimal_window(engine: &$engine, scalar_bits: usize) -> Option { - for (i, bits) in engine.$params_field.windows.iter().enumerate().rev() { - if &scalar_bits >= bits { - return Some(i + 2); - } - } - - None - } - - fn optimal_window_batch(&self, engine: &$engine, scalars: usize) -> wnaf::WindowTable<$engine, $name> { - let mut window = engine.$params_field.batch_windows.0; - - for i in &engine.$params_field.batch_windows.1 { - if scalars >= *i { - window += 1; - } else { - break; - } - } - - wnaf::WindowTable::new(engine, *self, window) - } - - fn zero(engine: &$engine) -> Self { - engine.$params_field.zero - } - - fn one(engine: &$engine) -> Self { - engine.$params_field.one - } - - fn random(engine: &$engine, rng: &mut R) -> Self { - let mut tmp = Self::one(engine); - tmp.mul_assign(engine, &$scalarfield::random(engine, rng)); - - tmp - } - - fn is_zero(&self) -> bool { - self.z.is_zero() - } - - fn is_equal(&self, engine: &$engine, other: &Self) -> bool { - if self.is_zero() { - return other.is_zero(); - } - - if other.is_zero() { - return false; - } - - let mut z1 = self.z; - z1.square(engine); - let mut z2 = other.z; - z2.square(engine); - - let mut tmp1 = self.x; - tmp1.mul_assign(engine, &z2); - - let mut tmp2 = other.x; - tmp2.mul_assign(engine, &z1); - - if tmp1 != tmp2 { - return false; - } - - z1.mul_assign(engine, &self.z); - z2.mul_assign(engine, &other.z); - z2.mul_assign(engine, &self.y); - z1.mul_assign(engine, &other.y); - - if z1 != z2 { - return false; - } - - true - } - - fn to_affine(&self, engine: &$engine) -> Self::Affine { - if self.is_zero() { - $name_affine { - x: $basefield::zero(), - y: $basefield::one(engine), - infinity: true - } - } else { - let zinv = self.z.inverse(engine).unwrap(); - let mut zinv_powered = zinv; - zinv_powered.square(engine); - - let mut x = self.x; - x.mul_assign(engine, &zinv_powered); - - let mut y = self.y; - zinv_powered.mul_assign(engine, &zinv); - y.mul_assign(engine, &zinv_powered); - - $name_affine { - x: x, - y: y, - infinity: false - } - } - } - - fn prepare(&self, e: &$engine) -> $name_prepared { - self.to_affine(e).prepare(e) - } - - fn double(&mut self, engine: &$engine) { - if self.is_zero() { - return; - } - - let mut a = self.x; - a.square(engine); - let mut c = self.y; - c.square(engine); - let mut d = c; - c.square(engine); - d.add_assign(engine, &self.x); - d.square(engine); - d.sub_assign(engine, &a); - d.sub_assign(engine, &c); - d.double(engine); - let mut e = a; - e.add_assign(engine, &a); - e.add_assign(engine, &a); - self.x = e; - self.x.square(engine); - self.x.sub_assign(engine, &d); - self.x.sub_assign(engine, &d); - c.double(engine); - c.double(engine); - c.double(engine); - self.z.mul_assign(engine, &self.y); - self.z.double(engine); - self.y = d; - self.y.sub_assign(engine, &self.x); - self.y.mul_assign(engine, &e); - self.y.sub_assign(engine, &c); - } - - fn negate(&mut self, engine: &$engine) { - if !self.is_zero() { - self.y.negate(engine) - } - } - - fn mul_assign>::Repr, $engine>>(&mut self, engine: &$engine, other: &S) { - let mut res = Self::zero(engine); - - for i in BitIterator::new((*other.convert(engine)).borrow()) - { - res.double(engine); - - if i { - res.add_assign(engine, self); - } - } - - *self = res; - } - - fn sub_assign(&mut self, engine: &$engine, other: &Self) { - let mut tmp = *other; - tmp.negate(engine); - self.add_assign(engine, &tmp); - } - - fn add_assign_mixed(&mut self, e: &$engine, other: &$name_affine) { - if other.is_zero() { - return; - } - - if self.is_zero() { - self.x = other.x; - self.y = other.y; - self.z = $basefield::one(e); - return; - } - - let mut z1z1 = self.z; - z1z1.square(e); - let mut u2 = other.x; - u2.mul_assign(e, &z1z1); - let mut z1cubed = self.z; - z1cubed.mul_assign(e, &z1z1); - let mut s2 = other.y; - s2.mul_assign(e, &z1cubed); - - if self.x == u2 && self.y == s2 { - self.double(e); - return; - } - - let mut h = u2; - h.sub_assign(e, &self.x); - let mut hh = h; - hh.square(e); - let mut i = hh; - i.double(e); - i.double(e); - let mut j = h; - j.mul_assign(e, &i); - let mut r = s2; - r.sub_assign(e, &self.y); - r.double(e); - let mut v = self.x; - v.mul_assign(e, &i); - - self.x = r; - self.x.square(e); - self.x.sub_assign(e, &j); - self.x.sub_assign(e, &v); - self.x.sub_assign(e, &v); - - self.y.mul_assign(e, &j); - let mut tmp = v; - tmp.sub_assign(e, &self.x); - tmp.mul_assign(e, &r); - tmp.sub_assign(e, &self.y); - tmp.sub_assign(e, &self.y); - self.y = tmp; - - self.z.add_assign(e, &h); - self.z.square(e); - self.z.sub_assign(e, &z1z1); - self.z.sub_assign(e, &hh); - } - - fn add_assign(&mut self, engine: &$engine, other: &Self) { - if self.is_zero() { - *self = *other; - return; - } - - if other.is_zero() { - return; - } - - let mut z1_squared = self.z; - z1_squared.square(engine); - let mut z2_squared = other.z; - z2_squared.square(engine); - let mut u1 = self.x; - u1.mul_assign(engine, &z2_squared); - let mut u2 = other.x; - u2.mul_assign(engine, &z1_squared); - let mut s1 = other.z; - s1.mul_assign(engine, &z2_squared); - s1.mul_assign(engine, &self.y); - let mut s2 = self.z; - s2.mul_assign(engine, &z1_squared); - s2.mul_assign(engine, &other.y); - - if u1 == u2 && s1 == s2 { - self.double(engine); - } else { - u2.sub_assign(engine, &u1); - s2.sub_assign(engine, &s1); - s2.double(engine); - let mut i = u2; - i.double(engine); - i.square(engine); - let mut v = i; - v.mul_assign(engine, &u1); - i.mul_assign(engine, &u2); - s1.mul_assign(engine, &i); - s1.double(engine); - self.x = s2; - self.x.square(engine); - self.x.sub_assign(engine, &i); - self.x.sub_assign(engine, &v); - self.x.sub_assign(engine, &v); - self.y = v; - self.y.sub_assign(engine, &self.x); - self.y.mul_assign(engine, &s2); - self.y.sub_assign(engine, &s1); - self.z.add_assign(engine, &other.z); - self.z.square(engine); - self.z.sub_assign(engine, &z1_squared); - self.z.sub_assign(engine, &z2_squared); - self.z.mul_assign(engine, &u2); - } - } - } - } -} diff --git a/src/curves/bls381/fp.rs b/src/curves/bls381/fp.rs deleted file mode 100644 index 43fc77a95..000000000 --- a/src/curves/bls381/fp.rs +++ /dev/null @@ -1,771 +0,0 @@ -macro_rules! fp_params_impl { - ( - $name:ident = (3 mod 4), - engine = $engine:ident, - params = $params_field:ident : $params_name:ident, - limbs = $limbs:expr, - modulus = $modulus:expr, - r1 = $r1:expr, - r2 = $r2:expr, - modulus_minus_3_over_4 = $modulus_minus_3_over_4:expr, - modulus_minus_1_over_2 = $modulus_minus_1_over_2:expr, - inv = $inv:expr - ) => { - #[derive(Clone)] - struct $params_name { - modulus: [u64; $limbs], - r1: $name, - r2: $name, - inv: u64, - one: $name, - num_bits: usize, - modulus_minus_3_over_4: [u64; $limbs], - modulus_minus_1_over_2: [u64; $limbs], - base10: [$name; 11] - } - - impl $params_name { - fn partial_init() -> $params_name { - let mut tmp = $params_name { - modulus: $modulus, - r1: $name($r1), - r2: $name($r2), - inv: $inv, - one: $name::zero(), - num_bits: 0, - modulus_minus_3_over_4: $modulus_minus_3_over_4, - modulus_minus_1_over_2: $modulus_minus_1_over_2, - base10: [$name::zero(); 11] - }; - - tmp.one.0[0] = 1; - - tmp - } - } - }; - ( - $name:ident = (1 mod 16), - engine = $engine:ident, - params = $params_field:ident : $params_name:ident, - limbs = $limbs:expr, - modulus = $modulus:expr, - r1 = $r1:expr, - r2 = $r2:expr, - modulus_minus_1_over_2 = $modulus_minus_1_over_2:expr, - s = $s:expr, - t = $t:expr, - t_plus_1_over_2 = $t_plus_1_over_2:expr, - inv = $inv:expr - ) => { - #[derive(Clone)] - struct $params_name { - modulus: [u64; $limbs], - r1: $name, - r2: $name, - inv: u64, - one: $name, - num_bits: usize, - modulus_minus_1_over_2: [u64; $limbs], - s: u64, - t: [u64; $limbs], - t_plus_1_over_2: [u64; $limbs], - root_of_unity: $name, - multiplicative_generator: $name, - base10: [$name; 11] - } - - impl $params_name { - fn partial_init() -> $params_name { - let mut tmp = $params_name { - modulus: $modulus, - r1: $name($r1), - r2: $name($r2), - inv: $inv, - one: $name::zero(), - num_bits: 0, - modulus_minus_1_over_2: $modulus_minus_1_over_2, - s: $s, - t: $t, - t_plus_1_over_2: $t_plus_1_over_2, - root_of_unity: $name::zero(), - multiplicative_generator: $name::zero(), - base10: [$name::zero(); 11] - }; - - tmp.one.0[0] = 1; - - tmp - } - } - }; -} - -macro_rules! fp_sqrt_impl { - ( - $name:ident = (3 mod 4), - engine = $engine:ident, - params = $params_field:ident : $params_name:ident - ) => { - impl SqrtField<$engine> for $name { - fn sqrt(&self, engine: &$engine) -> Option { - let mut a1 = self.pow(engine, &engine.$params_field.modulus_minus_3_over_4); - - let mut a0 = a1; - a0.square(engine); - a0.mul_assign(engine, self); - - let mut neg1 = Self::one(engine); - neg1.negate(engine); - - if a0 == neg1 { - None - } else { - a1.mul_assign(engine, self); - Some(a1) - } - } - } - }; - ( - $name:ident = (1 mod 16), - engine = $engine:ident, - params = $params_field:ident : $params_name:ident - ) => { - impl SqrtField<$engine> for $name { - fn sqrt(&self, engine: &$engine) -> Option { - if self.is_zero() { - return Some(*self); - } - - if self.pow(engine, &engine.$params_field.modulus_minus_1_over_2) != $name::one(engine) { - None - } else { - let mut c = engine.$params_field.root_of_unity; - - let mut r = self.pow(engine, &engine.$params_field.t_plus_1_over_2); - let mut t = self.pow(engine, &engine.$params_field.t); - let mut m = engine.$params_field.s; - - while t != Self::one(engine) { - let mut i = 1; - { - let mut t2i = t; - t2i.square(engine); - loop { - if t2i == Self::one(engine) { - break; - } - t2i.square(engine); - i += 1; - } - } - - for _ in 0..(m - i - 1) { - c.square(engine); - } - r.mul_assign(engine, &c); - c.square(engine); - t.mul_assign(engine, &c); - m = i; - } - - Some(r) - } - } - } - }; -} - -macro_rules! fp_impl { - ( - $name:ident = ($($congruency:tt)*), - engine = $engine:ident, - params = $params_field:ident : $params_name:ident, - arith = $arith_mod:ident, - repr = $repr:ident, - limbs = $limbs:expr, - $($params:tt)* - ) => { - fp_params_impl!( - $name = ($($congruency)*), - engine = $engine, - params = $params_field : $params_name, - limbs = $limbs, - $($params)* - ); - - impl $params_name { - fn base10(e: &$engine) -> [$name; 11] { - let mut ret = [$name::zero(); 11]; - - let mut acc = $name::zero(); - for i in 0..11 { - ret[i] = acc; - acc.add_assign(e, &$name::one(e)); - } - - ret - } - } - - fp_sqrt_impl!( - $name = ($($congruency)*), - engine = $engine, - params = $params_field : $params_name - ); - - #[derive(Copy, Clone, PartialEq, Eq)] - #[repr(C)] - pub struct $name([u64; $limbs]); - - #[derive(Copy, Clone, PartialEq, Eq)] - #[repr(C)] - pub struct $repr([u64; $limbs]); - - impl PrimeFieldRepr for $repr { - fn from_u64(a: u64) -> Self { - let mut tmp: [u64; $limbs] = Default::default(); - tmp[0] = a; - $repr(tmp) - } - - fn sub_noborrow(&mut self, other: &Self) { - $arith_mod::sub_noborrow(&mut self.0, &other.0); - } - - fn add_nocarry(&mut self, other: &Self) { - $arith_mod::add_nocarry(&mut self.0, &other.0); - } - - fn num_bits(&self) -> usize { - $arith_mod::num_bits(&self.0) - } - - fn is_zero(&self) -> bool { - self.0.iter().all(|&e| e==0) - } - - fn is_odd(&self) -> bool { - $arith_mod::odd(&self.0) - } - - fn div2(&mut self) { - $arith_mod::div2(&mut self.0); - } - } - - impl AsRef<[u64]> for $repr { - fn as_ref(&self) -> &[u64] { - &self.0 - } - } - - impl Ord for $repr { - fn cmp(&self, other: &$repr) -> Ordering { - if $arith_mod::lt(&self.0, &other.0) { - Ordering::Less - } else if self.0 == other.0 { - Ordering::Equal - } else { - Ordering::Greater - } - } - } - - impl PartialOrd for $repr { - fn partial_cmp(&self, other: &$repr) -> Option { - Some(self.cmp(other)) - } - } - - impl fmt::Debug for $name - { - fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { - ENGINE.with(|e| { - try!(write!(f, "Fp(0x")); - for i in self.into_repr(&e).0.iter().rev() { - try!(write!(f, "{:016x}", *i)); - } - write!(f, ")") - }) - } - } - - impl $name - { - #[inline] - fn mont_reduce(&mut self, engine: &$engine, res: &mut [u64; $limbs*2]) { - // The Montgomery reduction here is based on Algorithm 14.32 in - // Handbook of Applied Cryptography - // . - - for i in 0..$limbs { - let k = res[i].wrapping_mul(engine.$params_field.inv); - $arith_mod::mac_digit(&mut res[i..], &engine.$params_field.modulus, k); - } - - self.0.copy_from_slice(&res[$limbs..]); - - self.reduce(engine); - } - - #[inline] - fn reduce(&mut self, engine: &$engine) { - if !$arith_mod::lt(&self.0, &engine.$params_field.modulus) { - $arith_mod::sub_noborrow(&mut self.0, &engine.$params_field.modulus); - } - } - } - - impl Convert<$repr, $engine> for $name - { - type Target = $repr; - - fn convert(&self, engine: &$engine) -> Cow<$repr> { - Cow::Owned(self.into_repr(engine)) - } - } - - impl PrimeField<$engine> for $name - { - type Repr = $repr; - - fn from_repr(engine: &$engine, repr: Self::Repr) -> Result { - let mut tmp = $name(repr.0); - if $arith_mod::lt(&tmp.0, &engine.$params_field.modulus) { - tmp.mul_assign(engine, &engine.$params_field.r2); - Ok(tmp) - } else { - Err(()) - } - } - - fn into_repr(&self, engine: &$engine) -> Self::Repr { - let mut tmp = *self; - tmp.mul_assign(engine, &engine.$params_field.one); - $repr(tmp.0) - } - - fn from_u64(engine: &$engine, n: u64) -> Self { - let mut r = [0; $limbs]; - r[0] = n; - - Self::from_repr(engine, $repr(r)).unwrap() - } - - fn from_str(engine: &$engine, s: &str) -> Result { - let mut res = Self::zero(); - for c in s.chars() { - match c.to_digit(10) { - Some(d) => { - res.mul_assign(engine, &engine.$params_field.base10[10]); - res.add_assign(engine, &engine.$params_field.base10[d as usize]); - }, - None => { - return Err(()); - } - } - } - - Ok(res) - } - - fn char(engine: &$engine) -> Self::Repr { - $repr(engine.$params_field.modulus) - } - - fn num_bits(engine: &$engine) -> usize { - engine.$params_field.num_bits - } - - fn capacity(engine: &$engine) -> usize { - Self::num_bits(engine) - 1 - } - } - - impl Field<$engine> for $name - { - fn zero() -> Self { - $name([0; $limbs]) - } - - fn one(engine: &$engine) -> Self { - engine.$params_field.r1 - } - - fn random(engine: &$engine, rng: &mut R) -> Self { - let mut tmp = [0; $limbs*2]; - for i in &mut tmp { - *i = rng.gen(); - } - - $name($arith_mod::divrem(&tmp, &engine.$params_field.modulus).1) - } - - fn is_zero(&self) -> bool { - self.0.iter().all(|&e| e==0) - } - - fn double(&mut self, engine: &$engine) { - $arith_mod::mul2(&mut self.0); - - self.reduce(engine); - } - - fn frobenius_map(&mut self, _: &$engine, _: usize) - { - // This is the identity function for a prime field. - } - - fn negate(&mut self, engine: &$engine) { - if !self.is_zero() { - let mut tmp = engine.$params_field.modulus; - $arith_mod::sub_noborrow(&mut tmp, &self.0); - - self.0 = tmp; - } - } - - fn add_assign(&mut self, engine: &$engine, other: &Self) { - $arith_mod::add_nocarry(&mut self.0, &other.0); - - self.reduce(engine); - } - - fn sub_assign(&mut self, engine: &$engine, other: &Self) { - if $arith_mod::lt(&self.0, &other.0) { - $arith_mod::add_nocarry(&mut self.0, &engine.$params_field.modulus); - } - - $arith_mod::sub_noborrow(&mut self.0, &other.0); - } - - fn square(&mut self, engine: &$engine) - { - let mut res = [0; $limbs*2]; - $arith_mod::mac3(&mut res, &self.0, &self.0); - - self.mont_reduce(engine, &mut res); - } - - fn mul_assign(&mut self, engine: &$engine, other: &Self) { - let mut res = [0; $limbs*2]; - $arith_mod::mac3(&mut res, &self.0, &other.0); - - self.mont_reduce(engine, &mut res); - } - - fn inverse(&self, engine: &$engine) -> Option { - if self.is_zero() { - None - } else { - // Guajardo Kumar Paar Pelzl - // Efficient Software-Implementation of Finite Fields with Applications to Cryptography - // Algorithm 16 (BEA for Inversion in Fp) - - let mut u = self.0; - let mut v = engine.$params_field.modulus; - let mut b = engine.$params_field.r2; // Avoids unnecessary reduction step. - let mut c = Self::zero(); - - while u != engine.$params_field.one.0 && v != engine.$params_field.one.0 { - while $arith_mod::even(&u) { - $arith_mod::div2(&mut u); - - if $arith_mod::even(&b.0) { - $arith_mod::div2(&mut b.0); - } else { - $arith_mod::add_nocarry(&mut b.0, &engine.$params_field.modulus); - $arith_mod::div2(&mut b.0); - } - } - - while $arith_mod::even(&v) { - $arith_mod::div2(&mut v); - - if $arith_mod::even(&c.0) { - $arith_mod::div2(&mut c.0); - } else { - $arith_mod::add_nocarry(&mut c.0, &engine.$params_field.modulus); - $arith_mod::div2(&mut c.0); - } - } - - if $arith_mod::lt(&v, &u) { - $arith_mod::sub_noborrow(&mut u, &v); - b.sub_assign(engine, &c); - } else { - $arith_mod::sub_noborrow(&mut v, &u); - c.sub_assign(engine, &b); - } - } - - if u == engine.$params_field.one.0 { - Some(b) - } else { - Some(c) - } - } - } - } - - mod $arith_mod { - // Arithmetic - #[allow(dead_code)] - pub fn num_bits(v: &[u64; $limbs]) -> usize - { - let mut ret = 64 * $limbs; - for i in v.iter().rev() { - let leading = i.leading_zeros() as usize; - ret -= leading; - if leading != 64 { - break; - } - } - - ret - } - - #[inline] - pub fn mac_digit(acc: &mut [u64], b: &[u64], c: u64) - { - #[inline] - fn mac_with_carry(a: u64, b: u64, c: u64, carry: &mut u64) -> u64 { - let tmp = (a as u128) + (b as u128) * (c as u128) + (*carry as u128); - - *carry = (tmp >> 64) as u64; - - tmp as u64 - } - - let mut b_iter = b.iter(); - let mut carry = 0; - - for ai in acc.iter_mut() { - if let Some(bi) = b_iter.next() { - *ai = mac_with_carry(*ai, *bi, c, &mut carry); - } else { - *ai = mac_with_carry(*ai, 0, c, &mut carry); - } - } - - debug_assert!(carry == 0); - } - - #[inline] - pub fn mac3_long(acc: &mut [u64], b: &[u64], c: &[u64]) { - for (i, xi) in b.iter().enumerate() { - mac_digit(&mut acc[i..], c, *xi); - } - } - - #[inline] - pub fn mac3(acc: &mut [u64; $limbs*2], b: &[u64; $limbs], c: &[u64; $limbs]) { - if $limbs > 4 { - let (x0, x1) = b.split_at($limbs / 2); - let (y0, y1) = c.split_at($limbs / 2); - - let mut p = [0; $limbs+1]; - mac3_long(&mut p, x1, y1); - add_nocarry(&mut acc[$limbs/2..], &p); - add_nocarry(&mut acc[$limbs..], &p); - p = [0; $limbs+1]; - mac3_long(&mut p, x0, y0); - add_nocarry(&mut acc[..], &p); - add_nocarry(&mut acc[$limbs/2..], &p); - - let mut sign; - let mut j0 = [0; $limbs / 2]; - let mut j1 = [0; $limbs / 2]; - if lt(x1, x0) { - sign = false; - j0.copy_from_slice(x0); - sub_noborrow(&mut j0, x1); - } else { - sign = true; - j0.copy_from_slice(x1); - sub_noborrow(&mut j0, x0); - } - if lt(&y1, &y0) { - sign = sign == false; - j1.copy_from_slice(y0); - sub_noborrow(&mut j1, y1); - } else { - sign = sign == true; - j1.copy_from_slice(y1); - sub_noborrow(&mut j1, y0); - } - - if sign { - p = [0; $limbs+1]; - mac3_long(&mut p, &j0, &j1); - sub_noborrow(&mut acc[$limbs/2..], &p); - } else { - mac3_long(&mut acc[$limbs/2..], &j0, &j1); - } - } else { - mac3_long(acc, b, c); - } - } - - #[inline] - pub fn adc(a: u64, b: u64, carry: &mut u64) -> u64 { - let tmp = (a as u128) + (b as u128) + (*carry as u128); - - *carry = (tmp >> 64) as u64; - - tmp as u64 - } - - #[inline] - #[allow(dead_code)] - pub fn add_carry(a: &mut [u64], b: &[u64]) { - use std::iter; - - let mut carry = 0; - - for (a, b) in a.into_iter().zip(b.iter().chain(iter::repeat(&0))) { - *a = adc(*a, *b, &mut carry); - } - - debug_assert!(0 == carry); - } - - #[inline] - pub fn add_nocarry(a: &mut [u64], b: &[u64]) { - let mut carry = 0; - - for (a, b) in a.into_iter().zip(b.iter()) { - *a = adc(*a, *b, &mut carry); - } - - debug_assert!(0 == carry); - } - - /// Returns true if a < b. - #[inline] - pub fn lt(a: &[u64], b: &[u64]) -> bool { - for (a, b) in a.iter().zip(b.iter()).rev() { - if *a > *b { - return false; - } else if *a < *b { - return true; - } - } - - false - } - - #[inline] - pub fn sub_noborrow(a: &mut [u64], b: &[u64]) { - #[inline] - fn sbb(a: u64, b: u64, borrow: &mut u64) -> u64 { - let tmp = (1u128 << 64) + (a as u128) - (b as u128) - (*borrow as u128); - - *borrow = if tmp >> 64 == 0 { 1 } else { 0 }; - - tmp as u64 - } - - let mut borrow = 0; - - for (a, b) in a.into_iter().zip(b.iter()) { - *a = sbb(*a, *b, &mut borrow); - } - - debug_assert!(0 == borrow); - } - - /// Returns if number is even. - #[inline(always)] - #[allow(dead_code)] - pub fn even(a: &[u64; $limbs]) -> bool { - a[0] & 1 == 0 - } - - #[inline(always)] - #[allow(dead_code)] - pub fn odd(a: &[u64; $limbs]) -> bool { - a[0] & 1 == 1 - } - - /// Divide by two - #[inline] - pub fn div2(a: &mut [u64; $limbs]) { - let mut t = 0; - for i in a.iter_mut().rev() { - let t2 = *i << 63; - *i >>= 1; - *i |= t; - t = t2; - } - } - - #[inline] - pub fn mul2(a: &mut [u64; $limbs]) { - let mut last = 0; - for i in a { - let tmp = *i >> 63; - *i <<= 1; - *i |= last; - last = tmp; - } - } - - fn get_bit(this: &[u64; $limbs*2], n: usize) -> bool { - let part = n / 64; - let bit = n - (64 * part); - - this[part] & (1 << bit) > 0 - } - - fn set_bit(this: &mut [u64; $limbs], n: usize, to: bool) -> bool - { - let part = n / 64; - let bit = n - (64 * part); - - match this.get_mut(part) { - Some(e) => { - if to { - *e |= 1 << bit; - } else { - *e &= !(1 << bit); - } - - true - }, - None => false - } - } - - pub fn divrem( - this: &[u64; $limbs*2], - modulo: &[u64; $limbs] - ) -> (Option<[u64; $limbs]>, [u64; $limbs]) - { - let mut q = Some([0; $limbs]); - let mut r = [0; $limbs]; - - for i in (0..($limbs*2*64)).rev() { - // NB: modulo's first bit is unset so this will never - // destroy information - mul2(&mut r); - assert!(set_bit(&mut r, 0, get_bit(this, i))); - if !lt(&r, modulo) { - sub_noborrow(&mut r, modulo); - if q.is_some() && !set_bit(q.as_mut().unwrap(), i, true) { - q = None - } - } - } - - if q.is_some() && !lt(q.as_ref().unwrap(), modulo) { - (None, r) - } else { - (q, r) - } - } - } - } -} diff --git a/src/curves/bls381/fq12.rs b/src/curves/bls381/fq12.rs deleted file mode 100644 index c70a01478..000000000 --- a/src/curves/bls381/fq12.rs +++ /dev/null @@ -1,151 +0,0 @@ -use super::{Bls381, Fq2, Fq6}; -use rand; -use super::Field; - -#[derive(Debug, Copy, Clone, PartialEq, Eq)] -pub struct Fq12 { - pub c0: Fq6, - pub c1: Fq6 -} - -impl Fq12 { - pub fn unitary_inverse(&mut self, e: &Bls381) - { - self.c1.negate(e); - } - - pub fn mul_by_015( - &mut self, - e: &Bls381, - a: &Fq2, - b: &Fq2, - c: &Fq2 - ) - { - let mut aa = self.c0; - aa.mul_by_01(e, a, b); - let mut bb = self.c1; - bb.mul_by_1(e, c); - let mut o = *b; - o.add_assign(e, &c); - self.c1.add_assign(e, &self.c0); - self.c1.mul_by_01(e, a, &o); - self.c1.sub_assign(e, &aa); - self.c1.sub_assign(e, &bb); - self.c0 = bb; - self.c0.mul_by_nonresidue(e); - self.c0.add_assign(e, &aa); - } -} - -impl Field for Fq12 -{ - fn zero() -> Self { - Fq12 { - c0: Fq6::zero(), - c1: Fq6::zero() - } - } - - fn one(engine: &Bls381) -> Self { - Fq12 { - c0: Fq6::one(engine), - c1: Fq6::zero() - } - } - - fn random(engine: &Bls381, rng: &mut R) -> Self { - Fq12 { - c0: Fq6::random(engine, rng), - c1: Fq6::random(engine, rng) - } - } - - fn is_zero(&self) -> bool { - self.c0.is_zero() && self.c1.is_zero() - } - - fn double(&mut self, engine: &Bls381) { - self.c0.double(engine); - self.c1.double(engine); - } - - fn negate(&mut self, engine: &Bls381) { - self.c0.negate(engine); - self.c1.negate(engine); - } - - fn add_assign(&mut self, engine: &Bls381, other: &Self) { - self.c0.add_assign(engine, &other.c0); - self.c1.add_assign(engine, &other.c1); - } - - fn sub_assign(&mut self, engine: &Bls381, other: &Self) { - self.c0.sub_assign(engine, &other.c0); - self.c1.sub_assign(engine, &other.c1); - } - - fn frobenius_map(&mut self, e: &Bls381, power: usize) - { - self.c0.frobenius_map(e, power); - self.c1.frobenius_map(e, power); - - self.c1.c0.mul_assign(e, &e.frobenius_coeff_fq12[power % 12]); - self.c1.c1.mul_assign(e, &e.frobenius_coeff_fq12[power % 12]); - self.c1.c2.mul_assign(e, &e.frobenius_coeff_fq12[power % 12]); - } - - fn square(&mut self, e: &Bls381) { - let mut ab = self.c0; - ab.mul_assign(e, &self.c1); - let mut c0c1 = self.c0; - c0c1.add_assign(e, &self.c1); - let mut c0 = self.c1; - c0.mul_by_nonresidue(e); - c0.add_assign(e, &self.c0); - c0.mul_assign(e, &c0c1); - c0.sub_assign(e, &ab); - self.c1 = ab; - self.c1.add_assign(e, &ab); - ab.mul_by_nonresidue(e); - c0.sub_assign(e, &ab); - self.c0 = c0; - } - - fn mul_assign(&mut self, e: &Bls381, other: &Self) { - let mut aa = self.c0; - aa.mul_assign(e, &other.c0); - let mut bb = self.c1; - bb.mul_assign(e, &other.c1); - let mut o = other.c0; - o.add_assign(e, &other.c1); - self.c1.add_assign(e, &self.c0); - self.c1.mul_assign(e, &o); - self.c1.sub_assign(e, &aa); - self.c1.sub_assign(e, &bb); - self.c0 = bb; - self.c0.mul_by_nonresidue(e); - self.c0.add_assign(e, &aa); - } - - fn inverse(&self, e: &Bls381) -> Option { - let mut c0s = self.c0; - c0s.square(e); - let mut c1s = self.c1; - c1s.square(e); - c1s.mul_by_nonresidue(e); - c0s.sub_assign(e, &c1s); - - c0s.inverse(e).map(|t| { - let mut tmp = Fq12 { - c0: t, - c1: t - }; - tmp.c0.mul_assign(e, &self.c0); - tmp.c1.mul_assign(e, &self.c1); - tmp.c1.negate(e); - - tmp - }) - } -} diff --git a/src/curves/bls381/fq2.rs b/src/curves/bls381/fq2.rs deleted file mode 100644 index d3aa93825..000000000 --- a/src/curves/bls381/fq2.rs +++ /dev/null @@ -1,156 +0,0 @@ -use super::{Bls381, Fq}; -use rand; -use super::{Field, SqrtField}; - -#[derive(Debug, Copy, Clone, PartialEq, Eq)] -pub struct Fq2 { - pub c0: Fq, - pub c1: Fq -} - -impl Fq2 { - pub fn mul_by_nonresidue(&mut self, e: &Bls381) { - let t0 = self.c0; - self.c0.sub_assign(e, &self.c1); - self.c1.add_assign(e, &t0); - } -} - -impl SqrtField for Fq2 { - fn sqrt(&self, engine: &Bls381) -> Option { - // Algorithm 9, https://eprint.iacr.org/2012/685.pdf - - if self.is_zero() { - return Some(Self::zero()); - } else { - let mut a1 = self.pow(engine, &engine.fqparams.modulus_minus_3_over_4); - let mut alpha = a1; - alpha.square(engine); - alpha.mul_assign(engine, self); - let mut a0 = alpha.pow(engine, &engine.fqparams.modulus); - a0.mul_assign(engine, &alpha); - - let mut neg1 = Self::one(engine); - neg1.negate(engine); - - if a0 == neg1 { - None - } else { - a1.mul_assign(engine, self); - - if alpha == neg1 { - a1.mul_assign(engine, &Fq2{c0: Fq::zero(), c1: Fq::one(engine)}); - } else { - alpha.add_assign(engine, &Fq2::one(engine)); - alpha = alpha.pow(engine, &engine.fqparams.modulus_minus_1_over_2); - a1.mul_assign(engine, &alpha); - } - - Some(a1) - } - } - } -} - -impl Field for Fq2 -{ - fn zero() -> Self { - Fq2 { - c0: Fq::zero(), - c1: Fq::zero() - } - } - - fn one(engine: &Bls381) -> Self { - Fq2 { - c0: Fq::one(engine), - c1: Fq::zero() - } - } - - fn random(engine: &Bls381, rng: &mut R) -> Self { - Fq2 { - c0: Fq::random(engine, rng), - c1: Fq::random(engine, rng) - } - } - - fn is_zero(&self) -> bool { - self.c0.is_zero() && self.c1.is_zero() - } - - fn double(&mut self, engine: &Bls381) { - self.c0.double(engine); - self.c1.double(engine); - } - - fn negate(&mut self, engine: &Bls381) { - self.c0.negate(engine); - self.c1.negate(engine); - } - - fn add_assign(&mut self, engine: &Bls381, other: &Self) { - self.c0.add_assign(engine, &other.c0); - self.c1.add_assign(engine, &other.c1); - } - - fn sub_assign(&mut self, engine: &Bls381, other: &Self) { - self.c0.sub_assign(engine, &other.c0); - self.c1.sub_assign(engine, &other.c1); - } - - fn frobenius_map(&mut self, e: &Bls381, power: usize) - { - self.c1.mul_assign(e, &e.frobenius_coeff_fq2[power % 2]); - } - - fn square(&mut self, engine: &Bls381) { - let mut ab = self.c0; - ab.mul_assign(engine, &self.c1); - let mut c0c1 = self.c0; - c0c1.add_assign(engine, &self.c1); - let mut c0 = self.c1; - c0.negate(engine); - c0.add_assign(engine, &self.c0); - c0.mul_assign(engine, &c0c1); - c0.sub_assign(engine, &ab); - self.c1 = ab; - self.c1.add_assign(engine, &ab); - c0.add_assign(engine, &ab); - self.c0 = c0; - } - - fn mul_assign(&mut self, engine: &Bls381, other: &Self) { - let mut aa = self.c0; - aa.mul_assign(engine, &other.c0); - let mut bb = self.c1; - bb.mul_assign(engine, &other.c1); - let mut o = other.c0; - o.add_assign(engine, &other.c1); - self.c1.add_assign(engine, &self.c0); - self.c1.mul_assign(engine, &o); - self.c1.sub_assign(engine, &aa); - self.c1.sub_assign(engine, &bb); - self.c0 = aa; - self.c0.sub_assign(engine, &bb); - } - - fn inverse(&self, engine: &Bls381) -> Option { - let mut t1 = self.c1; - t1.square(engine); - let mut t0 = self.c0; - t0.square(engine); - t0.add_assign(engine, &t1); - t0.inverse(engine).map(|t| { - let mut tmp = Fq2 { - c0: self.c0, - c1: self.c1 - }; - tmp.c0.mul_assign(engine, &t); - tmp.c1.mul_assign(engine, &t); - tmp.c1.negate(engine); - - tmp - }) - } -} diff --git a/src/curves/bls381/fq6.rs b/src/curves/bls381/fq6.rs deleted file mode 100644 index b1119ffe2..000000000 --- a/src/curves/bls381/fq6.rs +++ /dev/null @@ -1,295 +0,0 @@ -use super::{Bls381, Fq2}; -use rand; -use super::Field; - -#[derive(Debug, Copy, Clone, PartialEq, Eq)] -pub struct Fq6 { - pub c0: Fq2, - pub c1: Fq2, - pub c2: Fq2 -} - -impl Fq6 { - pub fn mul_by_nonresidue(&mut self, e: &Bls381) { - use std::mem::swap; - swap(&mut self.c0, &mut self.c1); - swap(&mut self.c0, &mut self.c2); - - self.c0.mul_by_nonresidue(e); - } - - pub fn mul_by_1(&mut self, e: &Bls381, c1: &Fq2) - { - let mut b_b = self.c1; - b_b.mul_assign(e, c1); - - let mut t1 = *c1; - { - let mut tmp = self.c1; - tmp.add_assign(e, &self.c2); - - t1.mul_assign(e, &tmp); - t1.sub_assign(e, &b_b); - t1.mul_by_nonresidue(e); - } - - let mut t2 = *c1; - { - let mut tmp = self.c0; - tmp.add_assign(e, &self.c1); - - t2.mul_assign(e, &tmp); - t2.sub_assign(e, &b_b); - } - - self.c0 = t1; - self.c1 = t2; - self.c2 = b_b; - } - - pub fn mul_by_01(&mut self, e: &Bls381, c0: &Fq2, c1: &Fq2) - { - let mut a_a = self.c0; - let mut b_b = self.c1; - a_a.mul_assign(e, c0); - b_b.mul_assign(e, c1); - - let mut t1 = *c1; - { - let mut tmp = self.c1; - tmp.add_assign(e, &self.c2); - - t1.mul_assign(e, &tmp); - t1.sub_assign(e, &b_b); - t1.mul_by_nonresidue(e); - t1.add_assign(e, &a_a); - } - - let mut t3 = *c0; - { - let mut tmp = self.c0; - tmp.add_assign(e, &self.c2); - - t3.mul_assign(e, &tmp); - t3.sub_assign(e, &a_a); - t3.add_assign(e, &b_b); - } - - let mut t2 = *c0; - t2.add_assign(e, c1); - { - let mut tmp = self.c0; - tmp.add_assign(e, &self.c1); - - t2.mul_assign(e, &tmp); - t2.sub_assign(e, &a_a); - t2.sub_assign(e, &b_b); - } - - self.c0 = t1; - self.c1 = t2; - self.c2 = t3; - } -} - -impl Field for Fq6 -{ - fn zero() -> Self { - Fq6 { - c0: Fq2::zero(), - c1: Fq2::zero(), - c2: Fq2::zero() - } - } - - fn one(engine: &Bls381) -> Self { - Fq6 { - c0: Fq2::one(engine), - c1: Fq2::zero(), - c2: Fq2::zero() - } - } - - fn random(engine: &Bls381, rng: &mut R) -> Self { - Fq6 { - c0: Fq2::random(engine, rng), - c1: Fq2::random(engine, rng), - c2: Fq2::random(engine, rng) - } - } - - fn is_zero(&self) -> bool { - self.c0.is_zero() && self.c1.is_zero() && self.c2.is_zero() - } - - fn double(&mut self, engine: &Bls381) { - self.c0.double(engine); - self.c1.double(engine); - self.c2.double(engine); - } - - fn negate(&mut self, engine: &Bls381) { - self.c0.negate(engine); - self.c1.negate(engine); - self.c2.negate(engine); - } - - fn add_assign(&mut self, engine: &Bls381, other: &Self) { - self.c0.add_assign(engine, &other.c0); - self.c1.add_assign(engine, &other.c1); - self.c2.add_assign(engine, &other.c2); - } - - fn sub_assign(&mut self, engine: &Bls381, other: &Self) { - self.c0.sub_assign(engine, &other.c0); - self.c1.sub_assign(engine, &other.c1); - self.c2.sub_assign(engine, &other.c2); - } - - fn frobenius_map(&mut self, e: &Bls381, power: usize) - { - self.c0.frobenius_map(e, power); - self.c1.frobenius_map(e, power); - self.c2.frobenius_map(e, power); - - self.c1.mul_assign(e, &e.frobenius_coeff_fq6_c1[power % 6]); - self.c2.mul_assign(e, &e.frobenius_coeff_fq6_c2[power % 6]); - } - - fn square(&mut self, e: &Bls381) { - let mut s0 = self.c0; - s0.square(e); - let mut ab = self.c0; - ab.mul_assign(e, &self.c1); - let mut s1 = ab; - s1.double(e); - let mut s2 = self.c0; - s2.sub_assign(e, &self.c1); - s2.add_assign(e, &self.c2); - s2.square(e); - let mut bc = self.c1; - bc.mul_assign(e, &self.c2); - let mut s3 = bc; - s3.double(e); - let mut s4 = self.c2; - s4.square(e); - - self.c0 = s3; - self.c0.mul_by_nonresidue(e); - self.c0.add_assign(e, &s0); - - self.c1 = s4; - self.c1.mul_by_nonresidue(e); - self.c1.add_assign(e, &s1); - - self.c2 = s1; - self.c2.add_assign(e, &s2); - self.c2.add_assign(e, &s3); - self.c2.sub_assign(e, &s0); - self.c2.sub_assign(e, &s4); - } - - fn mul_assign(&mut self, e: &Bls381, other: &Self) { - let mut a_a = self.c0; - let mut b_b = self.c1; - let mut c_c = self.c2; - a_a.mul_assign(e, &other.c0); - b_b.mul_assign(e, &other.c1); - c_c.mul_assign(e, &other.c2); - - let mut t1 = other.c1; - t1.add_assign(e, &other.c2); - { - let mut tmp = self.c1; - tmp.add_assign(e, &self.c2); - - t1.mul_assign(e, &tmp); - t1.sub_assign(e, &b_b); - t1.sub_assign(e, &c_c); - t1.mul_by_nonresidue(e); - t1.add_assign(e, &a_a); - } - - let mut t3 = other.c0; - t3.add_assign(e, &other.c2); - { - let mut tmp = self.c0; - tmp.add_assign(e, &self.c2); - - t3.mul_assign(e, &tmp); - t3.sub_assign(e, &a_a); - t3.add_assign(e, &b_b); - t3.sub_assign(e, &c_c); - } - - let mut t2 = other.c0; - t2.add_assign(e, &other.c1); - { - let mut tmp = self.c0; - tmp.add_assign(e, &self.c1); - - t2.mul_assign(e, &tmp); - t2.sub_assign(e, &a_a); - t2.sub_assign(e, &b_b); - c_c.mul_by_nonresidue(e); - t2.add_assign(e, &c_c); - } - - self.c0 = t1; - self.c1 = t2; - self.c2 = t3; - } - - fn inverse(&self, e: &Bls381) -> Option { - let mut c0 = self.c2; - c0.mul_by_nonresidue(e); - c0.mul_assign(e, &self.c1); - c0.negate(e); - { - let mut c0s = self.c0; - c0s.square(e); - c0.add_assign(e, &c0s); - } - let mut c1 = self.c2; - c1.square(e); - c1.mul_by_nonresidue(e); - { - let mut c01 = self.c0; - c01.mul_assign(e, &self.c1); - c1.sub_assign(e, &c01); - } - let mut c2 = self.c1; - c2.square(e); - { - let mut c02 = self.c0; - c02.mul_assign(e, &self.c2); - c2.sub_assign(e, &c02); - } - - let mut tmp1 = self.c2; - tmp1.mul_assign(e, &c1); - let mut tmp2 = self.c1; - tmp2.mul_assign(e, &c2); - tmp1.add_assign(e, &tmp2); - tmp1.mul_by_nonresidue(e); - tmp2 = self.c0; - tmp2.mul_assign(e, &c0); - tmp1.add_assign(e, &tmp2); - - match tmp1.inverse(e) { - Some(t) => { - let mut tmp = Fq6 { - c0: t, - c1: t, - c2: t - }; - tmp.c0.mul_assign(e, &c0); - tmp.c1.mul_assign(e, &c1); - tmp.c2.mul_assign(e, &c2); - - Some(tmp) - }, - None => None - } - } -} diff --git a/src/curves/bls381/mod.rs b/src/curves/bls381/mod.rs deleted file mode 100644 index 2a5615107..000000000 --- a/src/curves/bls381/mod.rs +++ /dev/null @@ -1,1101 +0,0 @@ -use rand; -use std::fmt; - -use std::cmp::Ordering; -use std::borrow::Borrow; -use ::BitIterator; -use super::{ - Engine, - Group, - Curve, - CurveAffine, - CurveRepresentation, - PrimeField, - PrimeFieldRepr, - Field, - SnarkField, - SqrtField, - Convert, - Cow, - multiexp, - wnaf -}; - -use serde::ser::{Serialize, Serializer, SerializeTuple}; -use serde::de::{Deserialize, Deserializer, Visitor, SeqAccess, Error}; - -#[macro_use] -mod fp; -#[macro_use] -mod ec; - -mod fq2; -mod fq6; -mod fq12; -pub use self::fq2::Fq2; -pub use self::fq6::Fq6; -pub use self::fq12::Fq12; - -// The BLS parameter x for BLS12-381 is -0xd201000000010000 -const BLS_X: u64 = 0xd201000000010000; -const BLS_X_IS_NEGATIVE: bool = true; - -// Multiplicative generator of r-1 order, additionally chosen to be -// nonsquare, so that the root of unity can be used for Tonelli-Shanks -// square root. -const FR_MULTIPLICATIVE_GENERATOR: &'static str = "7"; -// Generator taken to the t'th power (r - 1 = 2^s * t with t odd) -const FR_ROOT_OF_UNITY: &'static str = "10238227357739495823651030575849232062558860180284477541189508159991286009131"; - -// y^2 = x^3 + b -const BLS_B: &'static str = "4"; - -// Generators for G1 and G2 -const BLS_G1_X: &'static str = "3685416753713387016781088315183077757961620795782546409894578378688607592378376318836054947676345821548104185464507"; -const BLS_G1_Y: &'static str = "1339506544944476473020471379941921221584933875938349620426543736416511423956333506472724655353366534992391756441569"; -const BLS_G2_X_C0: &'static str = "1468726562419257979478817182087966534126060822705880368502120176847060928972041501528146094283660107570228075847785"; -const BLS_G2_X_C1: &'static str = "192619896028380442851999297362581720263330513191716562546672373167036922975724849633269992752324699688798815266013"; -const BLS_G2_Y_C0: &'static str = "2403786323187906729693550489351819856705060824828191844887396442983655568083290027942568172155055249312505578112188"; -const BLS_G2_Y_C1: &'static str = "1887759871634257894151445480492390612163057076015645365125874782999431522408747359398458417857763544644994493115328"; - -// Implementation of Fq -fp_impl!( - Fq = (3 mod 4), - engine = Bls381, - params = fqparams: FqParams, - arith = fq_arith, - repr = FqRepr, - limbs = 6, - // q = 4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559787 - modulus = [ 0xb9feffffffffaaab, 0x1eabfffeb153ffff, 0x6730d2a0f6b0f624, 0x64774b84f38512bf, 0x4b1ba7b6434bacd7, 0x1a0111ea397fe69a ], - // (2^ 384 ) mod q - r1 = [ 0x760900000002fffd, 0xebf4000bc40c0002, 0x5f48985753c758ba, 0x77ce585370525745, 0x5c071a97a256ec6d, 0x15f65ec3fa80e493 ], - // (2^ 384 )^2 mod q - r2 = [ 0xf4df1f341c341746, 0x0a76e6a609d104f1, 0x8de5476c4c95b6d5, 0x67eb88a9939d83c0, 0x9a793e85b519952d, 0x11988fe592cae3aa ], - modulus_minus_3_over_4 = [ 0xee7fbfffffffeaaa, 0x07aaffffac54ffff, 0xd9cc34a83dac3d89, 0xd91dd2e13ce144af, 0x92c6e9ed90d2eb35, 0x0680447a8e5ff9a6 ], - modulus_minus_1_over_2 = [ 0xdcff7fffffffd555, 0x0f55ffff58a9ffff, 0xb39869507b587b12, 0xb23ba5c279c2895f, 0x258dd3db21a5d66b, 0x0d0088f51cbff34d ], - // - q ^-1 mod 2^64 - inv = 0x89f3fffcfffcfffd -); - -// Implementation of Fr -fp_impl!( - Fr = (1 mod 16), - engine = Bls381, - params = frparams: FrParams, - arith = fr_arith, - repr = FrRepr, - limbs = 4, - // r = 52435875175126190479447740508185965837690552500527637822603658699938581184513 - modulus = [ 0xffffffff00000001, 0x53bda402fffe5bfe, 0x3339d80809a1d805, 0x73eda753299d7d48 ], - // (2^ 256 ) mod r - r1 = [ 0x00000001fffffffe, 0x5884b7fa00034802, 0x998c4fefecbc4ff5, 0x1824b159acc5056f ], - // (2^ 256 )^2 mod r - r2 = [ 0xc999e990f3f29c6d, 0x2b6cedcb87925c23, 0x05d314967254398f, 0x0748d9d99f59ff11 ], - modulus_minus_1_over_2 = [ 0x7fffffff80000000, 0xa9ded2017fff2dff, 0x199cec0404d0ec02, 0x39f6d3a994cebea4 ], - // r - 1 = 2^s * t with t odd - s = 32 , - t = [ 0xfffe5bfeffffffff, 0x09a1d80553bda402, 0x299d7d483339d808, 0x0000000073eda753 ], - t_plus_1_over_2 = [ 0x7fff2dff80000000, 0x04d0ec02a9ded201, 0x94cebea4199cec04, 0x0000000039f6d3a9 ], - // - r ^-1 mod 2^64 - inv = 0xfffffffeffffffff -); - -impl Group for Fr { - fn group_zero(_: &Bls381) -> Fr { - Fr::zero() - } - fn group_mul_assign(&mut self, e: &Bls381, scalar: &Fr) { - self.mul_assign(e, scalar); - } - fn group_add_assign(&mut self, e: &Bls381, other: &Self) { - self.add_assign(e, other); - } - fn group_sub_assign(&mut self, e: &Bls381, other: &Self) { - self.sub_assign(e, other); - } -} - -curve_impl!(Bls381, G1, G1Affine, G1Affine, G1Uncompressed, G1Params, g1params, Fq, Fr); -curve_impl!(Bls381, G2, G2Affine, G2Prepared, G2Uncompressed, G2Params, g2params, Fq2, Fr); - -pub struct G1PointData([u8; 96]); -pub struct G2PointData([u8; 192]); - -impl Serialize for G1PointData { - fn serialize(&self, serializer: S) -> Result - where S: Serializer - { - let mut seq = serializer.serialize_tuple(96)?; - for i in self.0.iter() { - seq.serialize_element(i)?; - } - seq.end() - } -} - -impl<'a> Deserialize<'a> for G1PointData { - fn deserialize(deserializer: D) -> Result - where D: Deserializer<'a> - { - struct G1PointVisitor; - - impl<'a> Visitor<'a> for G1PointVisitor { - type Value = G1PointData; - - fn expecting(&self, formatter: &mut fmt::Formatter) -> fmt::Result { - write!(formatter, "expected 96-byte G1 point X, Y coordinates") - } - - fn visit_seq(self, mut seq: A) -> Result - where A: SeqAccess<'a> - { - let mut tmp = [0; 96]; - for i in &mut tmp[..] { - if let Some(v) = seq.next_element()? { - *i = v; - } else { - return Err(A::Error::custom("not enough bytes")) - } - } - - Ok(G1PointData(tmp)) - } - } - - deserializer.deserialize_tuple(96, G1PointVisitor) - } -} - -impl Serialize for G2PointData { - fn serialize(&self, serializer: S) -> Result - where S: Serializer - { - let mut seq = serializer.serialize_tuple(192)?; - for i in self.0.iter() { - seq.serialize_element(i)?; - } - seq.end() - } -} - -impl<'a> Deserialize<'a> for G2PointData { - fn deserialize(deserializer: D) -> Result - where D: Deserializer<'a> - { - struct G2PointVisitor; - - impl<'a> Visitor<'a> for G2PointVisitor { - type Value = G2PointData; - - fn expecting(&self, formatter: &mut fmt::Formatter) -> fmt::Result { - write!(formatter, "expected 192-byte G2 point X, Y coordinates") - } - - fn visit_seq(self, mut seq: A) -> Result - where A: SeqAccess<'a> - { - let mut tmp = [0; 192]; - for i in &mut tmp[..] { - if let Some(v) = seq.next_element()? { - *i = v; - } else { - return Err(A::Error::custom("not enough bytes")) - } - } - - Ok(G2PointData(tmp)) - } - } - - deserializer.deserialize_tuple(192, G2PointVisitor) - } -} - -pub enum G1Uncompressed { - Point(G1PointData), - Infinity -} -pub enum G2Uncompressed { - Point(G2PointData), - Infinity -} - -impl Serialize for G1Uncompressed { - fn serialize(&self, serializer: S) -> Result - where S: Serializer - { - let mut tup = serializer.serialize_tuple(2)?; - - match *self { - G1Uncompressed::Infinity => { - tup.serialize_element(&0u8)?; - tup.serialize_element(&())?; - tup.end() - }, - G1Uncompressed::Point(ref v) => { - tup.serialize_element(&4u8)?; - tup.serialize_element(v)?; - tup.end() - } - } - } -} - -impl<'a> Deserialize<'a> for G1Uncompressed { - fn deserialize(deserializer: D) -> Result - where D: Deserializer<'a> - { - use std::fmt; - - struct G1Visitor; - - impl<'a> Visitor<'a> for G1Visitor { - type Value = G1Uncompressed; - - fn expecting(&self, formatter: &mut fmt::Formatter) -> fmt::Result { - write!(formatter, "expected uncompressed G1 element") - } - - fn visit_seq(self, mut seq: A) -> Result - where A: SeqAccess<'a> - { - if let Some(t) = seq.next_element::()? { - if t == 0 { - if let Some(()) = seq.next_element::<()>()? { - Ok(G1Uncompressed::Infinity) - } else { - Err(A::Error::custom("expected null coordinate")) - } - } else if t == 4 { - if let Some(p) = seq.next_element::()? { - Ok(G1Uncompressed::Point(p)) - } else { - Err(A::Error::custom("expected X, Y coordinate")) - } - } else { - Err(A::Error::custom("expected IEEE prefix for uncompressed G1 element")) - } - } else { - Err(A::Error::custom("expected IEEE prefix for uncompressed G1 element")) - } - } - } - - let v = G1Visitor; - - deserializer.deserialize_tuple(2, v) - } -} - -impl Serialize for G2Uncompressed { - fn serialize(&self, serializer: S) -> Result - where S: Serializer - { - let mut tup = serializer.serialize_tuple(2)?; - - match *self { - G2Uncompressed::Infinity => { - tup.serialize_element(&0u8)?; - tup.serialize_element(&())?; - tup.end() - }, - G2Uncompressed::Point(ref v) => { - tup.serialize_element(&4u8)?; - tup.serialize_element(v)?; - tup.end() - } - } - } -} - -impl<'a> Deserialize<'a> for G2Uncompressed { - fn deserialize(deserializer: D) -> Result - where D: Deserializer<'a> - { - use std::fmt; - - struct G2Visitor; - - impl<'a> Visitor<'a> for G2Visitor { - type Value = G2Uncompressed; - - fn expecting(&self, formatter: &mut fmt::Formatter) -> fmt::Result { - write!(formatter, "expected uncompressed G2 element") - } - - fn visit_seq(self, mut seq: A) -> Result - where A: SeqAccess<'a> - { - if let Some(t) = seq.next_element::()? { - if t == 0 { - if let Some(()) = seq.next_element::<()>()? { - Ok(G2Uncompressed::Infinity) - } else { - Err(A::Error::custom("expected null coordinate")) - } - } else if t == 4 { - if let Some(p) = seq.next_element::()? { - Ok(G2Uncompressed::Point(p)) - } else { - Err(A::Error::custom("expected X, Y coordinate")) - } - } else { - Err(A::Error::custom("expected IEEE prefix for uncompressed G2 element")) - } - } else { - Err(A::Error::custom("expected IEEE prefix for uncompressed G2 element")) - } - } - } - - let v = G2Visitor; - - deserializer.deserialize_tuple(2, v) - } -} - -impl CurveRepresentation for G1Uncompressed { - type Affine = G1Affine; - - fn to_affine_unchecked(&self, e: &Bls381) -> Result { - match self { - &G1Uncompressed::Infinity => { - Ok(G1::zero(e).to_affine(e)) - }, - &G1Uncompressed::Point(ref bytes) => { - use byteorder::{ReadBytesExt, BigEndian}; - - let mut bytes = &bytes.0[..]; - - let mut x = [0; 6]; - let mut y = [0; 6]; - - for x in x.iter_mut().rev() { - *x = bytes.read_u64::().unwrap(); - } - for y in y.iter_mut().rev() { - *y = bytes.read_u64::().unwrap(); - } - - Ok(G1Affine { - x: try!(Fq::from_repr(e, FqRepr(x))), - y: try!(Fq::from_repr(e, FqRepr(y))), - infinity: false - }) - } - } - } -} - -impl CurveRepresentation for G2Uncompressed { - type Affine = G2Affine; - - fn to_affine_unchecked(&self, e: &Bls381) -> Result { - match self { - &G2Uncompressed::Infinity => { - Ok(G2::zero(e).to_affine(e)) - }, - &G2Uncompressed::Point(ref bytes) => { - use byteorder::{ReadBytesExt, BigEndian}; - - let mut bytes = &bytes.0[..]; - - let mut x = [0; 12]; - let mut y = [0; 12]; - - for x in x.iter_mut().rev() { - *x = bytes.read_u64::().unwrap(); - } - for y in y.iter_mut().rev() { - *y = bytes.read_u64::().unwrap(); - } - - if let (Some(x_c1), x_c0) = fq_arith::divrem(&x, &e.fqparams.modulus) { - if let (Some(y_c1), y_c0) = fq_arith::divrem(&y, &e.fqparams.modulus) { - return Ok(G2Affine { - x: Fq2 { - c0: try!(Fq::from_repr(e, FqRepr(x_c0))), - c1: try!(Fq::from_repr(e, FqRepr(x_c1))) - }, - y: Fq2 { - c0: try!(Fq::from_repr(e, FqRepr(y_c0))), - c1: try!(Fq::from_repr(e, FqRepr(y_c1))) - }, - infinity: false - }); - } - } - - Err(()) - } - } - } -} - -impl G1Uncompressed { - fn from_affine(p: &G1Affine, e: &Bls381) -> Self { - if p.infinity { - G1Uncompressed::Infinity - } else { - use byteorder::{WriteBytesExt, BigEndian}; - - let mut tmp = [0; 96]; - - { - let mut tmp = &mut tmp[0..]; - for &digit in p.x.into_repr(e).0.iter().rev() { - tmp.write_u64::(digit).unwrap(); - } - } - - { - let mut tmp = &mut tmp[48..]; - for &digit in p.y.into_repr(e).0.iter().rev() { - tmp.write_u64::(digit).unwrap(); - } - } - - G1Uncompressed::Point(G1PointData(tmp)) - } - } -} - -impl G2Uncompressed { - fn from_affine(p: &G2Affine, e: &Bls381) -> Self { - if p.infinity { - G2Uncompressed::Infinity - } else { - use byteorder::{WriteBytesExt, BigEndian}; - - let mut tmp = [0; 192]; - - { - let mut tmp = &mut tmp[0..]; - let mut x = [0; 12]; - fq_arith::mac3(&mut x, &p.x.c1.into_repr(e).0, &e.fqparams.modulus); - fq_arith::add_carry(&mut x, &p.x.c0.into_repr(e).0); - - for &digit in x.iter().rev() { - tmp.write_u64::(digit).unwrap(); - } - } - - { - let mut tmp = &mut tmp[96..]; - let mut y = [0; 12]; - fq_arith::mac3(&mut y, &p.y.c1.into_repr(e).0, &e.fqparams.modulus); - fq_arith::add_carry(&mut y, &p.y.c0.into_repr(e).0); - - for &digit in y.iter().rev() { - tmp.write_u64::(digit).unwrap(); - } - } - - G2Uncompressed::Point(G2PointData(tmp)) - } - } -} - -impl G1Affine { - fn from_engine(_: &Bls381, p: G1Affine) -> Self { - p - } -} - -#[derive(Clone)] -pub struct G2Prepared { - coeffs: Vec<(Fq2, Fq2, Fq2)>, - infinity: bool -} - -impl G2Prepared { - fn is_zero(&self) -> bool { - self.infinity - } - - fn from_engine(e: &Bls381, q: G2Affine) -> Self { - if q.is_zero() { - return G2Prepared { - coeffs: vec![], - infinity: true - } - } - - fn doubling_step( - e: &Bls381, - r: &mut G2 - ) -> (Fq2, Fq2, Fq2) - { - // Adaptation of Algorithm 26, https://eprint.iacr.org/2010/354.pdf - let mut tmp0 = r.x; - tmp0.square(e); - - let mut tmp1 = r.y; - tmp1.square(e); - - let mut tmp2 = tmp1; - tmp2.square(e); - - let mut tmp3 = tmp1; - tmp3.add_assign(e, &r.x); - tmp3.square(e); - tmp3.sub_assign(e, &tmp0); - tmp3.sub_assign(e, &tmp2); - tmp3.double(e); - - let mut tmp4 = tmp0; - tmp4.double(e); - tmp4.add_assign(e, &tmp0); - - let mut tmp6 = r.x; - tmp6.add_assign(e, &tmp4); - - let mut tmp5 = tmp4; - tmp5.square(e); - - let mut zsquared = r.z; - zsquared.square(e); - - r.x = tmp5; - r.x.sub_assign(e, &tmp3); - r.x.sub_assign(e, &tmp3); - - r.z.add_assign(e, &r.y); - r.z.square(e); - r.z.sub_assign(e, &tmp1); - r.z.sub_assign(e, &zsquared); - - r.y = tmp3; - r.y.sub_assign(e, &r.x); - r.y.mul_assign(e, &tmp4); - - tmp2.double(e); - tmp2.double(e); - tmp2.double(e); - - r.y.sub_assign(e, &tmp2); - - tmp3 = tmp4; - tmp3.mul_assign(e, &zsquared); - tmp3.double(e); - tmp3.negate(e); - - tmp6.square(e); - tmp6.sub_assign(e, &tmp0); - tmp6.sub_assign(e, &tmp5); - - tmp1.double(e); - tmp1.double(e); - - tmp6.sub_assign(e, &tmp1); - - tmp0 = r.z; - tmp0.mul_assign(e, &zsquared); - tmp0.double(e); - - (tmp0, tmp3, tmp6) - } - - fn addition_step( - e: &Bls381, - r: &mut G2, - q: &G2Affine - ) -> (Fq2, Fq2, Fq2) - { - // Adaptation of Algorithm 27, https://eprint.iacr.org/2010/354.pdf - let mut zsquared = r.z; - zsquared.square(e); - - let mut ysquared = q.y; - ysquared.square(e); - - let mut t0 = zsquared; - t0.mul_assign(e, &q.x); - - let mut t1 = q.y; - t1.add_assign(e, &r.z); - t1.square(e); - t1.sub_assign(e, &ysquared); - t1.sub_assign(e, &zsquared); - t1.mul_assign(e, &zsquared); - - let mut t2 = t0; - t2.sub_assign(e, &r.x); - - let mut t3 = t2; - t3.square(e); - - let mut t4 = t3; - t4.double(e); - t4.double(e); - - let mut t5 = t4; - t5.mul_assign(e, &t2); - - let mut t6 = t1; - t6.sub_assign(e, &r.y); - t6.sub_assign(e, &r.y); - - let mut t9 = t6; - t9.mul_assign(e, &q.x); - - let mut t7 = t4; - t7.mul_assign(e, &r.x); - - r.x = t6; - r.x.square(e); - r.x.sub_assign(e, &t5); - r.x.sub_assign(e, &t7); - r.x.sub_assign(e, &t7); - - r.z.add_assign(e, &t2); - r.z.square(e); - r.z.sub_assign(e, &zsquared); - r.z.sub_assign(e, &t3); - - let mut t10 = q.y; - t10.add_assign(e, &r.z); - - let mut t8 = t7; - t8.sub_assign(e, &r.x); - t8.mul_assign(e, &t6); - - t0 = r.y; - t0.mul_assign(e, &t5); - t0.double(e); - - r.y = t8; - r.y.sub_assign(e, &t0); - - t10.square(e); - t10.sub_assign(e, &ysquared); - - let mut ztsquared = r.z; - ztsquared.square(e); - - t10.sub_assign(e, &ztsquared); - - t9.double(e); - t9.sub_assign(e, &t10); - - t10 = r.z; - t10.double(e); - - t6.negate(e); - - t1 = t6; - t1.double(e); - - (t10, t1, t9) - } - - let mut coeffs = vec![]; - let mut r = q.to_jacobian(e); - - let mut found_one = false; - for i in BitIterator::new(&[BLS_X >> 1]) { - if !found_one { - found_one = i; - continue; - } - - coeffs.push(doubling_step(e, &mut r)); - - if i { - coeffs.push(addition_step(e, &mut r, &q)); - } - } - - coeffs.push(doubling_step(e, &mut r)); - - G2Prepared { - coeffs: coeffs, - infinity: false - } - } -} - -#[derive(Clone)] -pub struct Bls381 { - fqparams: FqParams, - frparams: FrParams, - g1params: G1Params, - g2params: G2Params, - frobenius_coeff_fq2: [Fq; 2], - frobenius_coeff_fq6_c1: [Fq2; 6], - frobenius_coeff_fq6_c2: [Fq2; 6], - frobenius_coeff_fq12: [Fq2; 12] -} - -thread_local!(static ENGINE: Bls381 = Bls381::new()); - -impl SnarkField for Fr { - fn s(e: &Bls381) -> u64 { - e.frparams.s - } - fn multiplicative_generator(e: &Bls381) -> Self { - e.frparams.multiplicative_generator - } - fn root_of_unity(e: &Bls381) -> Self { - e.frparams.root_of_unity - } -} - -impl Engine for Bls381 { - type Fq = Fq; - type Fr = Fr; - type Fqe = Fq2; - type Fqk = Fq12; - - type G1 = G1; - type G2 = G2; - - fn with FnOnce(&'a Self) -> R>(cb: F) -> R { - ENGINE.with(|e| { - cb(e) - }) - } - - fn new() -> Bls381 { - let mut tmp = Bls381 { - fqparams: FqParams::partial_init(), - frparams: FrParams::partial_init(), - g1params: G1Params { - zero: G1 { x: Fq::zero(), y: Fq::zero(), z: Fq::zero() }, - one: G1 { x: Fq::zero(), y: Fq::zero(), z: Fq::zero() }, - coeff_b: Fq::zero(), - windows: vec![11, 35, 110], - batch_windows: (4, vec![2, 3, 10, 20, 53, 111, 266, 426, 1273, 4742, 6054, 6054, 6054]) - }, - g2params: G2Params { - zero: G2 { x: Fq2::zero(), y: Fq2::zero(), z: Fq2::zero() }, - one: G2 { x: Fq2::zero(), y: Fq2::zero(), z: Fq2::zero() }, - coeff_b: Fq2::zero(), - windows: vec![11, 35, 114], - batch_windows: (4, vec![2, 4, 10, 29, 54, 120, 314, 314, 314, 314]) - }, - frobenius_coeff_fq2: [Fq::zero(); 2], - frobenius_coeff_fq6_c1: [Fq2::zero(); 6], - frobenius_coeff_fq6_c2: [Fq2::zero(); 6], - frobenius_coeff_fq12: [Fq2::zero(); 12] - }; - - // Initialize the base 10 numbers for from_str - tmp.fqparams.base10 = FqParams::base10(&tmp); - tmp.frparams.base10 = FrParams::base10(&tmp); - - // Initialize field parameters - tmp.frparams.multiplicative_generator = Fr::from_str(&tmp, FR_MULTIPLICATIVE_GENERATOR).unwrap(); - tmp.frparams.root_of_unity = Fr::from_str(&tmp, FR_ROOT_OF_UNITY).unwrap(); - - tmp.fqparams.num_bits = 381; - tmp.frparams.num_bits = 255; - - // Initialize the coefficients for the Frobenius map - tmp.frobenius_coeff_fq2[0] = Fq::from_str(&tmp, "1").unwrap(); - tmp.frobenius_coeff_fq2[1] = Fq::from_str(&tmp, "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786").unwrap(); - tmp.frobenius_coeff_fq6_c1[0] = Fq2 { - c0: Fq::from_str(&tmp, "1").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c1[1] = Fq2 { - c0: Fq::from_str(&tmp, "0").unwrap(), - c1: Fq::from_str(&tmp, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436").unwrap() - }; - tmp.frobenius_coeff_fq6_c1[2] = Fq2 { - c0: Fq::from_str(&tmp, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c1[3] = Fq2 { - c0: Fq::from_str(&tmp, "0").unwrap(), - c1: Fq::from_str(&tmp, "1").unwrap() - }; - tmp.frobenius_coeff_fq6_c1[4] = Fq2 { - c0: Fq::from_str(&tmp, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c1[5] = Fq2 { - c0: Fq::from_str(&tmp, "0").unwrap(), - c1: Fq::from_str(&tmp, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350").unwrap() - }; - tmp.frobenius_coeff_fq6_c2[0] = Fq2 { - c0: Fq::from_str(&tmp, "1").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c2[1] = Fq2 { - c0: Fq::from_str(&tmp, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c2[2] = Fq2 { - c0: Fq::from_str(&tmp, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c2[3] = Fq2 { - c0: Fq::from_str(&tmp, "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c2[4] = Fq2 { - c0: Fq::from_str(&tmp, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq6_c2[5] = Fq2 { - c0: Fq::from_str(&tmp, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq12[0] = Fq2 { - c0: Fq::from_str(&tmp, "1").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq12[1] = Fq2 { - c0: Fq::from_str(&tmp, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760").unwrap(), - c1: Fq::from_str(&tmp, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027").unwrap() - }; - tmp.frobenius_coeff_fq12[2] = Fq2 { - c0: Fq::from_str(&tmp, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620351").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq12[3] = Fq2 { - c0: Fq::from_str(&tmp, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530").unwrap(), - c1: Fq::from_str(&tmp, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257").unwrap() - }; - tmp.frobenius_coeff_fq12[4] = Fq2 { - c0: Fq::from_str(&tmp, "793479390729215512621379701633421447060886740281060493010456487427281649075476305620758731620350").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq12[5] = Fq2 { - c0: Fq::from_str(&tmp, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557").unwrap(), - c1: Fq::from_str(&tmp, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230").unwrap() - }; - tmp.frobenius_coeff_fq12[6] = Fq2 { - c0: Fq::from_str(&tmp, "4002409555221667393417789825735904156556882819939007885332058136124031650490837864442687629129015664037894272559786").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq12[7] = Fq2 { - c0: Fq::from_str(&tmp, "151655185184498381465642749684540099398075398968325446656007613510403227271200139370504932015952886146304766135027").unwrap(), - c1: Fq::from_str(&tmp, "3850754370037169011952147076051364057158807420970682438676050522613628423219637725072182697113062777891589506424760").unwrap() - }; - tmp.frobenius_coeff_fq12[8] = Fq2 { - c0: Fq::from_str(&tmp, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939436").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq12[9] = Fq2 { - c0: Fq::from_str(&tmp, "1028732146235106349975324479215795277384839936929757896155643118032610843298655225875571310552543014690878354869257").unwrap(), - c1: Fq::from_str(&tmp, "2973677408986561043442465346520108879172042883009249989176415018091420807192182638567116318576472649347015917690530").unwrap() - }; - tmp.frobenius_coeff_fq12[10] = Fq2 { - c0: Fq::from_str(&tmp, "4002409555221667392624310435006688643935503118305586438271171395842971157480381377015405980053539358417135540939437").unwrap(), - c1: Fq::from_str(&tmp, "0").unwrap() - }; - tmp.frobenius_coeff_fq12[11] = Fq2 { - c0: Fq::from_str(&tmp, "877076961050607968509681729531255177986764537961432449499635504522207616027455086505066378536590128544573588734230").unwrap(), - c1: Fq::from_str(&tmp, "3125332594171059424908108096204648978570118281977575435832422631601824034463382777937621250592425535493320683825557").unwrap() - }; - - // G1 parameters - tmp.g1params.zero.y = Fq::one(&tmp); - tmp.g1params.coeff_b = Fq::from_str(&tmp, BLS_B).unwrap(); - tmp.g1params.one.x = Fq::from_str(&tmp, BLS_G1_X).unwrap(); - tmp.g1params.one.y = Fq::from_str(&tmp, BLS_G1_Y).unwrap(); - tmp.g1params.one.z = Fq::one(&tmp); - - // G2 parameters - tmp.g2params.zero.y = Fq2::one(&tmp); - tmp.g2params.coeff_b = Fq2 { - c0: Fq::from_str(&tmp, BLS_B).unwrap(), - c1: Fq::from_str(&tmp, BLS_B).unwrap() - }; - tmp.g2params.one.x = Fq2 { - c0: Fq::from_str(&tmp, BLS_G2_X_C0).unwrap(), - c1: Fq::from_str(&tmp, BLS_G2_X_C1).unwrap() - }; - tmp.g2params.one.y = Fq2 { - c0: Fq::from_str(&tmp, BLS_G2_Y_C0).unwrap(), - c1: Fq::from_str(&tmp, BLS_G2_Y_C1).unwrap() - }; - tmp.g2params.one.z = Fq2::one(&tmp); - - tmp - } - - fn final_exponentiation(&self, r: &Fq12) -> Fq12 { - let mut f1 = *r; - f1.unitary_inverse(self); - let mut f2 = r.inverse(self).unwrap(); - let mut r = f1; - r.mul_assign(self, &f2); - f2 = r; - r.frobenius_map(self, 2); - r.mul_assign(self, &f2); - - fn exp_by_x(e: &Bls381, f: &mut Fq12, x: u64) - { - *f = f.pow(e, &[x]); - if BLS_X_IS_NEGATIVE { - f.unitary_inverse(e); - } - } - - let mut x = BLS_X; - let mut y0 = r; - y0.square(self); - let mut y1 = y0; - exp_by_x(self, &mut y1, x); - x >>= 1; - let mut y2 = y1; - exp_by_x(self, &mut y2, x); - x <<= 1; - let mut y3 = r; - y3.unitary_inverse(self); - y1.mul_assign(self, &y3); - y1.unitary_inverse(self); - y1.mul_assign(self, &y2); - y2 = y1; - exp_by_x(self, &mut y2, x); - y3 = y2; - exp_by_x(self, &mut y3, x); - y1.unitary_inverse(self); - y3.mul_assign(self, &y1); - y1.unitary_inverse(self); - y1.frobenius_map(self, 3); - y2.frobenius_map(self, 2); - y1.mul_assign(self, &y2); - y2 = y3; - exp_by_x(self, &mut y2, x); - y2.mul_assign(self, &y0); - y2.mul_assign(self, &r); - y1.mul_assign(self, &y2); - y2 = y3; - y2.frobenius_map(self, 1); - y1.mul_assign(self, &y2); - y1 - } - - fn miller_loop<'a, I>(&self, i: I) -> Self::Fqk - where I: IntoIterator>::Prepared, - &'a >::Prepared - )> - { - let mut pairs = vec![]; - for &(p, q) in i { - if !p.is_zero() && !q.is_zero() { - pairs.push((p, q.coeffs.iter())); - } - } - - // Twisting isomorphism from E to E' - fn ell( - e: &Bls381, - f: &mut Fq12, - coeffs: &(Fq2, Fq2, Fq2), - p: &G1Affine - ) - { - let mut c0 = coeffs.0; - let mut c1 = coeffs.1; - - c0.c0.mul_assign(e, &p.y); - c0.c1.mul_assign(e, &p.y); - - c1.c0.mul_assign(e, &p.x); - c1.c1.mul_assign(e, &p.x); - - // Sparse multiplication in Fq12 - f.mul_by_015(e, &coeffs.2, &c1, &c0); - } - - let mut f = Fq12::one(self); - - let mut found_one = false; - for i in BitIterator::new(&[BLS_X >> 1]) { - if !found_one { - found_one = i; - continue; - } - - for &mut (p, ref mut coeffs) in &mut pairs { - ell(self, &mut f, coeffs.next().unwrap(), p); - } - - if i { - for &mut (p, ref mut coeffs) in &mut pairs { - ell(self, &mut f, coeffs.next().unwrap(), p); - } - } - - f.square(self); - } - - for &mut (p, ref mut coeffs) in &mut pairs { - ell(self, &mut f, coeffs.next().unwrap(), p); - } - - f - } - - fn batchexp, S: AsRef<[Self::Fr]>>(&self, g: &mut [G::Affine], scalars: S, coeff: Option<&Self::Fr>) - { - use crossbeam; - use num_cpus; - - assert_eq!(g.len(), scalars.as_ref().len()); - - let chunk = (g.len() / num_cpus::get()) + 1; - - crossbeam::scope(|scope| { - for (g, s) in g.chunks_mut(chunk).zip(scalars.as_ref().chunks(chunk)) { - scope.spawn(move || { - let mut table = wnaf::WindowTable::new(self, G::zero(self), 2); - let mut scratch = wnaf::WNAFTable::new(); - - for (g, s) in g.iter_mut().zip(s.iter()) { - let mut s = *s; - match coeff { - Some(coeff) => { - s.mul_assign(self, coeff); - }, - _ => {} - }; - *g = g.to_jacobian(self) - .optimal_exp(self, s.into_repr(self), &mut table, &mut scratch) - .to_affine(self); - } - }); - } - }); - } - - fn batch_baseexp, S: AsRef<[Self::Fr]>>(&self, table: &wnaf::WindowTable, s: S) -> Vec - { - use crossbeam; - use num_cpus; - - let s = s.as_ref(); - let mut ret = vec![G::zero(self).to_affine(self); s.len()]; - - crossbeam::scope(|scope| { - let chunk = (s.len() / num_cpus::get()) + 1; - - for (s, b) in s.chunks(chunk).zip(ret.chunks_mut(chunk)) { - scope.spawn(move || { - let mut scratch = wnaf::WNAFTable::new(); - - for (s, b) in s.iter().zip(b.iter_mut()) { - scratch.set_scalar(table, s.into_repr(self)); - *b = table.exp(self, &scratch).to_affine(self); - } - }); - } - }); - - ret - } - - fn multiexp>(&self, g: &[G::Affine], s: &[Fr]) -> Result { - super::multiexp::perform_multiexp(self, g, s) - } -} - -#[cfg(test)] -mod tests; diff --git a/src/curves/bls381/tests/g1_serialized.bin b/src/curves/bls381/tests/g1_serialized.bin deleted file mode 100644 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