Initial commit

cp6_782/src/curves/g1.rs

@@ -0,0 +1,126 @@
+use ark_ec::{
+    models::{ModelParameters, SWModelParameters},
+    short_weierstrass_jacobian::{GroupAffine, GroupProjective},
+};
+use ark_ff::{
+    biginteger::{BigInteger384, BigInteger832},
+    field_new,
+};
+
+use crate::{Fq, Fr};
+
+pub type G1Affine = GroupAffine<Parameters>;
+pub type G1Projective = GroupProjective<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 = 5
+    #[rustfmt::skip]
+    const COEFF_A: Fq = field_new!(Fq, BigInteger832([
+        0x781c76643018bd7a,
+        0x64f3a5a4f1d1ad48,
+        0xd2f8a1eb4f72692d,
+        0xc35eb123c6ed72ca,
+        0xb58d6bcfd32de058,
+        0x841eab13b02a492c,
+        0x4b70dc5a54c487e7,
+        0x2f231a8808a74c59,
+        0x5e2915154d70b050,
+        0x8a40fa16f37a6b37,
+        0xd01980093a72c54b,
+        0xef6845c25398004c,
+        0x48,
+    ]));
+
+    /// COEFF_B = 17764315118651679038286329069295091506801468118146712649886336045535808055361274148466772191243305528312843236347777260247138934336850548243151534538734724191505953341403463040067571652261229308333392040104884438208594329793895206056414
+    #[rustfmt::skip]
+    const COEFF_B: Fq = field_new!(Fq, BigInteger832([
+        0xec5bd271ad37429,
+        0x9db8ac843ecca28a,
+        0x94f29bcb7e01bc74,
+        0x1b0bebb77bb5af0,
+        0x75b8cef4aa27ee17,
+        0xb5767ae80812cf6b,
+        0x592fa41e377a0d8c,
+        0xb6c6deedbb52df3e,
+        0xcb1343e488737fd4,
+        0x878020734d05b5a9,
+        0x2f51354eddfa069a,
+        0x498e2ecdc545243e,
+        0x2c2,
+    ]));
+
+    /// COFACTOR =
+    /// 86482221941698704497288378992285180119495364068003923046442785886272123124361700722982503222189455144364945735564951561028
+    #[rustfmt::skip]
+    const COFACTOR: &'static [u64] = &[
+        0x5657b9b57b942344,
+        0x84f9a65f3bd54eaf,
+        0x5ea4214e35cd127,
+        0xe3cbcbc14ec1501d,
+        0xf196cb845a3092ab,
+        0x7e14627ad0e19017,
+        0x217db4,
+    ];
+
+    /// COFACTOR^(-1) mod r =
+    /// 163276846538158998893990986356139314746223949404500031940624325017036397274793417940375498603127780919653358641788
+    #[rustfmt::skip]
+    const COFACTOR_INV: Fr = field_new!(Fr, BigInteger384([
+        4179837108212676264,
+        15545810469293120493,
+        13202863094424182470,
+        9506285060796071546,
+        9248558385029790142,
+        87030208545296111,
+    ]));
+
+    /// AFFINE_GENERATOR_COEFFS = (G1_GENERATOR_X, G1_GENERATOR_Y)
+    const AFFINE_GENERATOR_COEFFS: (Self::BaseField, Self::BaseField) =
+        (G1_GENERATOR_X, G1_GENERATOR_Y);
+}
+
+/// G1_GENERATOR_X =
+/// 5511163824921585887915590525772884263960974614921003940645351443740084257508990841338974915037175497689287870585840954231884082785026301437744745393958283053278991955159266640440849940136976927372133743626748847559939620888818486853646
+#[rustfmt::skip]
+pub const G1_GENERATOR_X: Fq = field_new!(Fq, BigInteger832([
+    0x5901480e5bc22290,
+    0x20024afcdb9bd3a9,
+    0x12dc18ff416e8138,
+    0x28c69aa0ea223e18,
+    0xafb1524a1eb7efe6,
+    0x3d5c34edc3764ca2,
+    0x736c2230c8466ce9,
+    0xacfaa04e051014f1,
+    0x5d5ff82f00ff2964,
+    0x64c13ba270a26eaf,
+    0x50e9864b56ab172e,
+    0xd8370826a322499e,
+    0x00000000000006f1,
+]));
+
+/// G1_GENERATOR_Y =
+/// 7913123550914612057135582061699117755797758113868200992327595317370485234417808273674357776714522052694559358668442301647906991623400754234679697332299689255516547752391831738454121261248793568285885897998257357202903170202349380518443
+#[rustfmt::skip]
+pub const G1_GENERATOR_Y: Fq = field_new!(Fq, BigInteger832([
+    0x8af8b64b402e1953,
+    0xd1bbceb3a258ea51,
+    0xdca9efa3140aaa0d,
+    0x807a610058ddedb2,
+    0xeb898562fe88076c,
+    0x0e4342ca56dd8ce2,
+    0x4f5528d29f1bde9a,
+    0xf18b0c6c19feb372,
+    0x94503ac2fac9199c,
+    0xffc86a8aff08ea34,
+    0xf7b1295214735d8c,
+    0x44eda9e0f55edd10,
+    0x0000000000000ef3,
+]));