Define FieldElement addition

1 files changed, 15 insertions, 0 deletions

diff --git a/ecc.hs b/ecc.hs
new file mode 100644
index 0000000..6271864
--- /dev/null
+++ b/ecc.hs
@@ -0,0 +1,15 @@
+
+data FieldElement =
+  FieldElement
+    { number :: Int
+    , prime :: Int
+    }
+  deriving (Eq)
+
+instance Show FieldElement where
+  show a = "FieldElement_" ++ show (prime a) ++ " " ++ show (number a)
+
+add :: FieldElement -> FieldElement -> FieldElement
+add (FieldElement a b) (FieldElement c d)
+  | b /= d = error "Distinct Fields"
+  | otherwise = FieldElement (mod (a + c) b) b