Initial commit

2026-01-27 14:13:46 +01:00 · 2020-10-11 19:50:41 -07:00
commit 43ca2132fd
209 changed files with 18825 additions and 0 deletions
--- a/bls12_381/src/fields/fq2.rs
+++ b/bls12_381/src/fields/fq2.rs
@@ -0,0 +1,73 @@
+use crate::*;
+use ark_ff::{biginteger::BigInteger384 as BigInteger, field_new, fields::*};
+
+pub type Fq2 = Fp2<Fq2Parameters>;
+
+pub struct Fq2Parameters;
+
+impl Fp2Parameters for Fq2Parameters {
+    type Fp = Fq;
+
+    /// NONRESIDUE = -1
+    #[rustfmt::skip]
+    const NONRESIDUE: Fq = field_new!(Fq, BigInteger([
+        0x43f5fffffffcaaae,
+        0x32b7fff2ed47fffd,
+        0x7e83a49a2e99d69,
+        0xeca8f3318332bb7a,
+        0xef148d1ea0f4c069,
+        0x40ab3263eff0206,
+    ]));
+
+    /// QUADRATIC_NONRESIDUE = (U + 1)
+    #[rustfmt::skip]
+    const QUADRATIC_NONRESIDUE: (Fq, Fq) = (
+        field_new!(Fq, BigInteger([
+            0x760900000002fffd,
+            0xebf4000bc40c0002,
+            0x5f48985753c758ba,
+            0x77ce585370525745,
+            0x5c071a97a256ec6d,
+            0x15f65ec3fa80e493,
+        ])),
+        field_new!(Fq, BigInteger([
+            0x760900000002fffd,
+            0xebf4000bc40c0002,
+            0x5f48985753c758ba,
+            0x77ce585370525745,
+            0x5c071a97a256ec6d,
+            0x15f65ec3fa80e493,
+        ])),
+    );
+
+    /// Coefficients for the Frobenius automorphism.
+    #[rustfmt::skip]
+    const FROBENIUS_COEFF_FP2_C1: &'static [Fq] = &[
+        // Fq(-1)**(((q^0) - 1) / 2)
+        field_new!(Fq, BigInteger([
+            0x760900000002fffd,
+            0xebf4000bc40c0002,
+            0x5f48985753c758ba,
+            0x77ce585370525745,
+            0x5c071a97a256ec6d,
+            0x15f65ec3fa80e493,
+        ])),
+        // Fq(-1)**(((q^1) - 1) / 2)
+        field_new!(Fq, BigInteger([
+            0x43f5fffffffcaaae,
+            0x32b7fff2ed47fffd,
+            0x7e83a49a2e99d69,
+            0xeca8f3318332bb7a,
+            0xef148d1ea0f4c069,
+            0x40ab3263eff0206,
+        ])),
+    ];
+
+    #[inline(always)]
+    fn mul_fp_by_nonresidue(fp: &Self::Fp) -> Self::Fp {
+        -(*fp)
+    }
+}
+
+pub const FQ2_ZERO: Fq2 = field_new!(Fq2, FQ_ZERO, FQ_ZERO);
+pub const FQ2_ONE: Fq2 = field_new!(Fq2, FQ_ONE, FQ_ZERO);