diff --git a/modules/juce_core/containers/juce_HashMap.h b/modules/juce_core/containers/juce_HashMap.h
index e44a182493..019e5b41d5 100644
--- a/modules/juce_core/containers/juce_HashMap.h
+++ b/modules/juce_core/containers/juce_HashMap.h
@@ -31,16 +31,20 @@
 */
 struct DefaultHashFunctions
 {
+    /** Generates a simple hash from an unsigned int. */
+    static int generateHash (uint32 key, int upperLimit) noexcept           { return (int) (key % (uint32) upperLimit); }
     /** Generates a simple hash from an integer. */
-    int generateHash (const int key, const int upperLimit) const noexcept        { return std::abs (key) % upperLimit; }
+    static int generateHash (int32 key, int upperLimit) noexcept            { return generateHash ((uint32) key, upperLimit); }
+    /** Generates a simple hash from a uint64. */
+    static int generateHash (uint64 key, int upperLimit) noexcept           { return (int) (key % (uint64) upperLimit); }
     /** Generates a simple hash from an int64. */
-    int generateHash (const int64 key, const int upperLimit) const noexcept      { return std::abs ((int) key) % upperLimit; }
+    static int generateHash (int64 key, int upperLimit) noexcept            { return generateHash ((uint64) key, upperLimit); }
     /** Generates a simple hash from a string. */
-    int generateHash (const String& key, const int upperLimit) const noexcept    { return (int) (((uint32) key.hashCode()) % (uint32) upperLimit); }
+    static int generateHash (const String& key, int upperLimit) noexcept    { return generateHash ((uint32) key.hashCode(), upperLimit); }
     /** Generates a simple hash from a variant. */
-    int generateHash (const var& key, const int upperLimit) const noexcept       { return generateHash (key.toString(), upperLimit); }
+    static int generateHash (const var& key, int upperLimit) noexcept       { return generateHash (key.toString(), upperLimit); }
     /** Generates a simple hash from a void ptr. */
-    int generateHash (const void* key, const int upperLimit) const noexcept      { return (int)(((pointer_sized_uint) key) % ((pointer_sized_uint) upperLimit)); }
+    static int generateHash (const void* key, int upperLimit) noexcept      { return generateHash ((pointer_sized_uint) key, upperLimit); }
 };