diff --git a/src/backend/vector/ifma/edwards.rs b/src/backend/vector/ifma/edwards.rs
index 9d218ca..6151dda 100644
--- a/src/backend/vector/ifma/edwards.rs
+++ b/src/backend/vector/ifma/edwards.rs
@@ -56,6 +56,18 @@ impl From<ExtendedPoint> for CachedPoint {
     }
 }
 
+impl Default for ExtendedPoint {
+    fn default() -> ExtendedPoint {
+        ExtendedPoint::identity()
+    }
+}
+
+impl Identity for ExtendedPoint {
+    fn identity() -> ExtendedPoint {
+        constants::EXTENDEDPOINT_IDENTITY
+    }
+}
+
 impl ExtendedPoint {
     pub fn double(&self) -> ExtendedPoint {
         // Set tmp0 = (X1 Y1 X1 Y1)
@@ -136,6 +148,18 @@ impl<'a, 'b> Add<&'b CachedPoint> for &'a ExtendedPoint {
     }
 }
 
+impl Default for CachedPoint {
+    fn default() -> CachedPoint {
+        CachedPoint::identity()
+    }
+}
+
+impl Identity for CachedPoint {
+    fn identity() -> CachedPoint {
+        constants::CACHEDPOINT_IDENTITY
+    }
+}
+
 impl ConditionallySelectable for CachedPoint {
     fn conditional_select(a: &Self, b: &Self, choice: Choice) -> Self {
         CachedPoint(F51x4Reduced::conditional_select(&a.0, &b.0, choice))