diff --git a/modules.py b/modules.py
index 16df087..a839231 100644
--- a/modules.py
+++ b/modules.py
@@ -283,7 +283,7 @@ def positional_encoding(inputs,
 
         # First part of the PE function: sin and cos argument
         position_enc = np.array([
-            [pos / np.power(10000, (i-i%2)/E) for i in range(E)]
+            [pos / np.power(10000, 1.0*(i-i%2)/E) for i in range(E)]
             for pos in range(maxlen)])
 
         # Second part, apply the cosine to even columns and sin to odds.
@@ -308,4 +308,4 @@ def noam_scheme(init_lr, global_step, warmup_steps=4000.):
         until it reaches init_lr.
     '''
     step = tf.cast(global_step + 1, dtype=tf.float32)
-    return init_lr * warmup_steps ** 0.5 * tf.minimum(step * warmup_steps ** -1.5, step ** -0.5)
\ No newline at end of file
+    return init_lr * warmup_steps ** 0.5 * tf.minimum(step * warmup_steps ** -1.5, step ** -0.5)