Sync with the recent changes in ark-algebra on pairing and testing (#116)

* Fix another typo in the Jubjub curve comment

* fix

* progress

* get_point_from_x_unchecked

* fix

* soft link

* Fix Bandersnatch

* Fix Edwards form of Bandersnatch

* Actually fix ed_on_bls12_381_bandersnatch/src/curves/mod.rs

* fix

* fix

* curve-benches

* fix the last mul_by_a; fmt

Co-authored-by: onewayfunc <onewayfunc@gmail.com>
Co-authored-by: Pratyush Mishra <pratyushmishra@berkeley.edu>

cp6_782/src/curves/g1.rs

@@ -1,6 +1,7 @@
 use ark_ec::{
     models::{short_weierstrass::SWCurveConfig, CurveConfig},
     short_weierstrass::{Affine, Projective},
+    AffineRepr, CurveGroup,
 };
 use ark_ff::MontFp;
 
@@ -9,6 +10,45 @@ use crate::{Fq, Fr};
 pub type G1Affine = Affine<Parameters>;
 pub type G1Projective = Projective<Parameters>;
 
+#[derive(Clone, Debug, PartialEq, Eq)]
+pub struct G1Prepared(pub G1Affine);
+
+impl From<G1Affine> for G1Prepared {
+    fn from(other: G1Affine) -> Self {
+        G1Prepared(other)
+    }
+}
+
+impl From<G1Projective> for G1Prepared {
+    fn from(q: G1Projective) -> Self {
+        q.into_affine().into()
+    }
+}
+
+impl<'a> From<&'a G1Affine> for G1Prepared {
+    fn from(other: &'a G1Affine) -> Self {
+        G1Prepared(*other)
+    }
+}
+
+impl<'a> From<&'a G1Projective> for G1Prepared {
+    fn from(q: &'a G1Projective) -> Self {
+        q.into_affine().into()
+    }
+}
+
+impl G1Prepared {
+    pub fn is_zero(&self) -> bool {
+        self.0.is_identity()
+    }
+}
+
+impl Default for G1Prepared {
+    fn default() -> Self {
+        G1Prepared(G1Affine::generator())
+    }
+}
+
 #[derive(Clone, Default, PartialEq, Eq)]
 pub struct Parameters;