Add constraints for relevant curves (#3)

mnt4_753/src/constraints/fields.rs

@@ -0,0 +1,26 @@
+use crate::{Fq, Fq2Parameters, Fq4Parameters};
+
+use ark_r1cs_std::fields::{fp::FpVar, fp2::Fp2Var, fp4::Fp4Var};
+
+/// A variable that is the R1CS equivalent of `crate::Fq`.
+pub type FqVar = FpVar<Fq>;
+/// A variable that is the R1CS equivalent of `crate::Fq2`.
+pub type Fq2Var = Fp2Var<Fq2Parameters>;
+/// A variable that is the R1CS equivalent of `crate::Fq4`.
+pub type Fq4Var = Fp4Var<Fq4Parameters>;
+
+#[test]
+fn mnt4_753_field_gadgets_test() {
+    use super::*;
+    use crate::{Fq, Fq2, Fq4};
+    use ark_curve_constraint_tests::fields::*;
+
+    field_test::<_, _, FqVar>().unwrap();
+    frobenius_tests::<Fq, _, FqVar>(13).unwrap();
+
+    field_test::<_, _, Fq2Var>().unwrap();
+    frobenius_tests::<Fq2, _, Fq2Var>(13).unwrap();
+
+    field_test::<_, _, Fq4Var>().unwrap();
+    frobenius_tests::<Fq4, _, Fq4Var>(13).unwrap();
+}