Initial commit

bls12_381/src/curves/g1.rs

@@ -0,0 +1,82 @@
+use crate::*;
+use ark_ec::{
+    bls12,
+    models::{ModelParameters, SWModelParameters},
+};
+use ark_ff::{
+    biginteger::{BigInteger256, BigInteger384},
+    field_new, Zero,
+};
+
+pub type G1Affine = bls12::G1Affine<crate::Parameters>;
+pub type G1Projective = bls12::G1Projective<crate::Parameters>;
+
+#[derive(Clone, Default, PartialEq, Eq)]
+pub struct Parameters;
+
+impl ModelParameters for Parameters {
+    type BaseField = Fq;
+    type ScalarField = Fr;
+}
+
+impl SWModelParameters for Parameters {
+    /// COEFF_A = 0
+    const COEFF_A: Fq = field_new!(Fq, BigInteger384([0x0, 0x0, 0x0, 0x0, 0x0, 0x0]));
+
+    /// COEFF_B = 4
+    #[rustfmt::skip]
+    const COEFF_B: Fq = field_new!(Fq, BigInteger384([
+        0xaa270000000cfff3,
+        0x53cc0032fc34000a,
+        0x478fe97a6b0a807f,
+        0xb1d37ebee6ba24d7,
+        0x8ec9733bbf78ab2f,
+        0x9d645513d83de7e,
+    ]));
+
+    /// COFACTOR = (x - 1)^2 / 3  = 76329603384216526031706109802092473003
+    const COFACTOR: &'static [u64] = &[0x8c00aaab0000aaab, 0x396c8c005555e156];
+
+    /// COFACTOR_INV = COFACTOR^{-1} mod r
+    /// = 52435875175126190458656871551744051925719901746859129887267498875565241663483
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, BigInteger256([
+        288839107172787499,
+        1152722415086798946,
+        2612889808468387987,
+        5124657601728438008,
+    ]));
+
+    /// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
+        (G1_GENERATOR_X, G1_GENERATOR_Y);
+
+    #[inline(always)]
+    fn mul_by_a(_: &Self::BaseField) -> Self::BaseField {
+        Self::BaseField::zero()
+    }
+}
+
+/// G1_GENERATOR_X =
+/// 3685416753713387016781088315183077757961620795782546409894578378688607592378376318836054947676345821548104185464507
+#[rustfmt::skip]
+pub const G1_GENERATOR_X: Fq = field_new!(Fq, BigInteger384([
+    0x5cb38790fd530c16,
+    0x7817fc679976fff5,
+    0x154f95c7143ba1c1,
+    0xf0ae6acdf3d0e747,
+    0xedce6ecc21dbf440,
+    0x120177419e0bfb75,
+]));
+
+/// G1_GENERATOR_Y =
+/// 1339506544944476473020471379941921221584933875938349620426543736416511423956333506472724655353366534992391756441569
+#[rustfmt::skip]
+pub const G1_GENERATOR_Y: Fq = field_new!(Fq, BigInteger384([
+    0xbaac93d50ce72271,
+    0x8c22631a7918fd8e,
+    0xdd595f13570725ce,
+    0x51ac582950405194,
+    0xe1c8c3fad0059c0,
+    0xbbc3efc5008a26a,
+]));