diff --git a/Objects/classobject.c b/Objects/classobject.c
index cd0bb1d..f1dabfe 100644
--- a/Objects/classobject.c
+++ b/Objects/classobject.c
@@ -864,10 +864,7 @@
 		func = instance_getattr(inst, cmpstr);
 		if (func == NULL) {
 			PyErr_Clear();
-			outcome = (long)inst;
-			if (outcome == -1)
-				outcome = -2;
-			return outcome;
+			return _Py_HashPointer(inst);
 		}
 		PyErr_SetString(PyExc_TypeError, "unhashable instance");
 		return -1;
diff --git a/Objects/complexobject.c b/Objects/complexobject.c
index 42709ee..1a15a27 100644
--- a/Objects/complexobject.c
+++ b/Objects/complexobject.c
@@ -285,8 +285,7 @@
 	PyComplexObject *v;
 {
 	double intpart, fractpart;
-	int expo;
-	long hipart, x;
+	long x;
 	/* This is designed so that Python numbers with the same
 	   value hash to the same value, otherwise comparisons
 	   of mapping keys will turn out weird */
@@ -302,7 +301,7 @@
 #endif
 
 	if (fractpart == 0.0 && v->cval.imag == 0.0) {
-		if (intpart > 0x7fffffffL || -intpart > 0x7fffffffL) {
+		if (intpart > LONG_MAX || -intpart > LONG_MAX) {
 			/* Convert to long int and use its hash... */
 			PyObject *w = PyLong_FromDouble(v->cval.real);
 			if (w == NULL)
@@ -314,36 +313,18 @@
 		x = (long)intpart;
 	}
 	else {
-		fractpart = frexp(fractpart, &expo);
-		fractpart = fractpart * 2147483648.0; /* 2**31 */
-		hipart = (long)fractpart; /* Take the top 32 bits */
-		fractpart = (fractpart - (double)hipart) * 2147483648.0;
-						/* Get the next 32 bits */
-		x = hipart + (long)fractpart + (long)intpart + (expo << 15);
-						/* Combine everything */
+		x = _Py_HashDouble(v->cval.real);
+		if (x == -1)
+			return -1;
 
 		if (v->cval.imag != 0.0) { /* Hash the imaginary part */
 			/* XXX Note that this hashes complex(x, y)
 			   to the same value as complex(y, x).
 			   Still better than it used to be :-) */
-#ifdef MPW
-			{
-				extended e;
-				fractpart = modf(v->cval.imag, &e);
-				intpart = e;
-			}
-#else
-			fractpart = modf(v->cval.imag, &intpart);
-#endif
-			fractpart = frexp(fractpart, &expo);
-			fractpart = fractpart * 2147483648.0; /* 2**31 */
-			hipart = (long)fractpart; /* Take the top 32 bits */
-			fractpart =
-				(fractpart - (double)hipart) * 2147483648.0;
-						/* Get the next 32 bits */
-			x ^= hipart + (long)fractpart +
-				(long)intpart + (expo << 15);
-						/* Combine everything */
+			long y = _Py_HashDouble(v->cval.imag);
+			if (y == -1)
+				return -1;
+			x += y;
 		}
 	}
 	if (x == -1)
diff --git a/Objects/floatobject.c b/Objects/floatobject.c
index 69b66b7..29ade28 100644
--- a/Objects/floatobject.c
+++ b/Objects/floatobject.c
@@ -59,7 +59,13 @@
 #endif
 
 #ifndef LONG_MAX
+#if SIZEOF_LONG == 4
 #define LONG_MAX 0X7FFFFFFFL
+#elif SIZEOF_LONG == 8
+#define LONG_MAX 0X7FFFFFFFFFFFFFFFL
+#else
+#error "could not set LONG_MAX"
+#endif
 #endif
 
 #ifndef LONG_MIN
@@ -357,12 +363,12 @@
 	return (i < j) ? -1 : (i > j) ? 1 : 0;
 }
 
+
 static long
 float_hash(v)
 	PyFloatObject *v;
 {
 	double intpart, fractpart;
-	int expo;
 	long x;
 	/* This is designed so that Python numbers with the same
 	   value hash to the same value, otherwise comparisons
@@ -379,7 +385,7 @@
 #endif
 
 	if (fractpart == 0.0) {
-		if (intpart > 0x7fffffffL || -intpart > 0x7fffffffL) {
+		if (intpart > LONG_MAX || -intpart > LONG_MAX) {
 			/* Convert to long int and use its hash... */
 			PyObject *w = PyLong_FromDouble(v->ob_fval);
 			if (w == NULL)
@@ -393,14 +399,9 @@
 	else {
 		/* Note -- if you change this code, also change the copy
 		   in complexobject.c */
-		long hipart;
-		fractpart = frexp(fractpart, &expo);
-		fractpart = fractpart * 2147483648.0; /* 2**31 */
-		hipart = (long)fractpart; /* Take the top 32 bits */
-		fractpart = (fractpart - (double)hipart) * 2147483648.0;
-						/* Get the next 32 bits */
-		x = hipart + (long)fractpart + (long)intpart + (expo << 15);
-						/* Combine everything */
+		x = _Py_HashDouble(v->ob_fval);
+		if (x == -1)
+			return -1;
 	}
 	if (x == -1)
 		x = -2;
diff --git a/Objects/funcobject.c b/Objects/funcobject.c
index b976eab..d9ce027 100644
--- a/Objects/funcobject.c
+++ b/Objects/funcobject.c
@@ -231,10 +231,12 @@
 func_hash(f)
 	PyFunctionObject *f;
 {
-	long h;
+	long h,x;
 	h = PyObject_Hash(f->func_code);
 	if (h == -1) return h;
-	h = h ^ (long)f->func_globals;
+	x = _Py_HashPointer(f->func_globals);
+	if (x == -1) return x;
+	h ^= x;
 	if (h == -1) h = -2;
 	return h;
 }
diff --git a/Objects/methodobject.c b/Objects/methodobject.c
index 8b67a87..580bb2f 100644
--- a/Objects/methodobject.c
+++ b/Objects/methodobject.c
@@ -172,7 +172,7 @@
 meth_hash(a)
 	PyCFunctionObject *a;
 {
-	long x;
+	long x,y;
 	if (a->m_self == NULL)
 		x = 0;
 	else {
@@ -180,7 +180,13 @@
 		if (x == -1)
 			return -1;
 	}
-	return x ^ (long) a->m_ml->ml_meth;
+	y = _Py_HashPointer(a->m_ml->ml_meth);
+	if (y == -1)
+		return -1;
+	x ^= y;
+	if (x == -1)
+		x = -2;
+	return x;
 }
 
 PyTypeObject PyCFunction_Type = {
diff --git a/Objects/object.c b/Objects/object.c
index 9a0e87c..9ed03b2 100644
--- a/Objects/object.c
+++ b/Objects/object.c
@@ -33,6 +33,8 @@
 
 #include "Python.h"
 
+#include "mymath.h"
+
 /* just for trashcan: */
 #include "compile.h"
 #include "frameobject.h"
@@ -507,6 +509,62 @@
 	return result;
 }
 
+
+/* Set of hash utility functions to help maintaining the invariant that
+	iff a==b then hash(a)==hash(b)
+
+   All the utility functions (_Py_Hash*()) return "-1" to signify an error.
+*/
+
+long
+_Py_HashDouble(v)
+    double v;
+{
+	/* Use frexp to get at the bits in the double.
+	 * Since the VAX D double format has 56 mantissa bits, which is the
+	 * most of any double format in use, each of these parts may have as
+	 * many as (but no more than) 56 significant bits.
+	 * So, assuming sizeof(long) >= 4, each part can be broken into two longs;
+	 * frexp and multiplication are used to do that.
+	 * Also, since the Cray double format has 15 exponent bits, which is the
+	 * most of any double format in use, shifting the exponent field left by
+	 * 15 won't overflow a long (again assuming sizeof(long) >= 4).
+	 */
+    int expo;
+    long hipart;
+
+    v = frexp(v, &expo);
+    v = v * 2147483648.0; /* 2**31 */
+    hipart = (long)v; /* Take the top 32 bits */
+	v = (v - (double)hipart) * 2147483648.0; /* Get the next 32 bits */
+
+    return hipart + (long)v + (expo << 15); /* Combine everything */
+}
+
+long
+_Py_HashPointer(p)
+	void *p;
+{
+#if SIZEOF_LONG >= SIZEOF_VOID_P
+	return (long)p;
+#else
+	/* convert to a Python long and hash that */
+	PyObject* longobj;
+	long x;
+	
+	if ((longobj = PyLong_FromVoidPtr(p)) == NULL) {
+		x = -1;
+		goto finally;
+	}
+	x = PyObject_Hash(longobj);
+	
+finally:
+	Py_XDECREF(longobj);
+	return x;
+#endif
+}
+
+
 long
 PyObject_Hash(v)
 	PyObject *v;
@@ -514,8 +572,9 @@
 	PyTypeObject *tp = v->ob_type;
 	if (tp->tp_hash != NULL)
 		return (*tp->tp_hash)(v);
-	if (tp->tp_compare == NULL)
-		return (long) v; /* Use address as hash value */
+	if (tp->tp_compare == NULL) {
+		return _Py_HashPointer(v); /* Use address as hash value */
+	}
 	/* If there's a cmp but no hash defined, the object can't be hashed */
 	PyErr_SetString(PyExc_TypeError, "unhashable type");
 	return -1;