Field debug implementations (#501)

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src/core/fields/cm31.rs

@@ -1,4 +1,4 @@
-use std::fmt::Display;
+use std::fmt::{Debug, Display};
 use std::ops::{
     Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Rem, RemAssign, Sub, SubAssign,
 };
@@ -12,7 +12,7 @@ pub const P2: u64 = 4611686014132420609; // (2 ** 31 - 1) ** 2
 /// Complex extension field of M31.
 /// Equivalent to M31\[x\] over (x^2 + 1) as the irreducible polynomial.
 /// Represented as (a, b) of a + bi.
-#[derive(Copy, Clone, Debug, Default, PartialEq, Eq, PartialOrd, Ord, Hash)]
+#[derive(Copy, Clone, Default, PartialEq, Eq, PartialOrd, Ord, Hash)]
 pub struct CM31(pub M31, pub M31);
 
 impl_field!(CM31, P2);
@@ -34,6 +34,12 @@ impl Display for CM31 {
     }
 }
 
+impl Debug for CM31 {
+    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
+        write!(f, "{} + {}i", self.0, self.1)
+    }
+}
+
 impl Mul for CM31 {
     type Output = Self;
 

src/core/fields/qm31.rs

@@ -1,4 +1,4 @@
-use std::fmt::Display;
+use std::fmt::{Debug, Display};
 use std::ops::{
     Add, AddAssign, Div, DivAssign, Mul, MulAssign, Neg, Rem, RemAssign, Sub, SubAssign,
 };
@@ -15,7 +15,7 @@ pub const R: CM31 = CM31::from_u32_unchecked(2, 1);
 /// Extension field of CM31.
 /// Equivalent to CM31\[x\] over (x^2 - 2 - i) as the irreducible polynomial.
 /// Represented as ((a, b), (c, d)) of (a + bi) + (c + di)u.
-#[derive(Copy, Clone, Debug, Default, PartialEq, Eq, PartialOrd, Ord, Hash)]
+#[derive(Copy, Clone, Default, PartialEq, Eq, PartialOrd, Ord, Hash)]
 pub struct QM31(pub CM31, pub CM31);
 pub type SecureField = QM31;
 
@@ -49,6 +49,12 @@ impl Display for QM31 {
     }
 }
 
+impl Debug for QM31 {
+    fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
+        write!(f, "({}) + ({})u", self.0, self.1)
+    }
+}
+
 impl Mul for QM31 {
     type Output = Self;