diff --git a/float.cpp b/float.cpp
index 691cfa1f..80070ca9 100644
--- a/float.cpp
+++ b/float.cpp
@@ -97,7 +97,7 @@ bool
 ieee_float<E, S>::almost_equal (floating_t a,
                                 floating_t b)
 {
-    return almost_equal (a, b, 10000);
+    return almost_equal (a, b, 10000u);
 }
 
 
diff --git a/test/maths/maths.cpp b/test/maths/maths.cpp
index b43e38a9..68c8607c 100644
--- a/test/maths/maths.cpp
+++ b/test/maths/maths.cpp
@@ -26,6 +26,10 @@ main (int, char **) {
     CHECK (almost_equal (0.f, -0.f));
     CHECK (almost_equal (0.,  -0.));
 
+    CHECK ( almost_zero (1e-45f));
+    CHECK (!almost_zero (1e-40f));
+    CHECK (!exactly_zero (1e-45f));
+
     CHECK_EQ (min (-2, 0, 2), -2);
     CHECK_EQ (max (-2, 0, 2),  2);