diff --git a/src/Language/Wasm/Lexer.x b/src/Language/Wasm/Lexer.x
index b4ee3b9..4de4b0e 100644
--- a/src/Language/Wasm/Lexer.x
+++ b/src/Language/Wasm/Lexer.x
@@ -44,10 +44,20 @@ $doublequote = \"
 @hexscientificint = "0x" @hexnum @exp
 @hexscientificfloat = @hexfloatfrac @hexexp
 @hexfloat = @hexfloatfrac | @hexscientificint | @hexscientificfloat
+@nanhex = "nan:0x" @hexnum
 
 tokens :-
 
 <0> $space                                ;
+<0> "nan"                                 { constToken $ TFloatLit nan }
+<0> "+nan"                                { constToken $ TFloatLit nan }
+<0> "-nan"                                { constToken $ TFloatLit minusNaN }
+<0> @nanhex                               { constToken $ TFloatLit nan {- TODO: real hex rep parsing -}}
+<0> "+" @nanhex                           { constToken $ TFloatLit nan {- TODO: real hex rep parsing -}}
+<0> "-" @nanhex                           { constToken $ TFloatLit minusNaN {- TODO: real hex rep parsing -}}
+<0> "inf"                                 { constToken $ TFloatLit inf }
+<0> "+inf"                                 { constToken $ TFloatLit inf }
+<0> "-inf"                                { constToken $ TFloatLit minusInf }
 <0> @keyword                              { tokenStr TKeyword }
 <0> @linecomment                          ;
 <0> @id                                   { tokenStr TId }
@@ -87,6 +97,12 @@ isAllowedStringChar _userState (_pos, _rest, inp, _) _len _nextInp =
     let code = Char.ord char in
     code >= 0x20 && code /= 0x7f && char /= '"' && char /= '\\'
 
+minusNaN, nan, inf, minusInf :: Double
+minusNaN = read "-NaN"
+nan = read "NaN"
+inf = read "Infinity"
+minusInf = read "-Infinity"
+
 parseSign :: (Num a) => LBS.ByteString -> ((a -> a), Int64)
 parseSign str =
     let Just (ch, _) = LBSUtf8.decode str in
diff --git a/tests/Test.hs b/tests/Test.hs
index 1996ff5..46e2d61 100644
--- a/tests/Test.hs
+++ b/tests/Test.hs
@@ -11,6 +11,6 @@ import qualified Language.Wasm.Lexer as Lexer
 
 main :: IO ()
 main = do
-  file <- LBS.readFile "tests/samples/i64.wast"
+  file <- LBS.readFile "tests/samples/f64.wast"
   print $ map Lexer.tok <$> Lexer.scanner file
   defaultMain $ testGroup "Test Suite" []