diff --git a/src/backend/optimizer/path/clausesel.c b/src/backend/optimizer/path/clausesel.c
index 25350c480ccfb223463ba44ba5e4c7d1e9c41e4c..8a1ab28ac1e9737ec084ba24ded99b1fec5e4a3f 100644
--- a/src/backend/optimizer/path/clausesel.c
+++ b/src/backend/optimizer/path/clausesel.c
@@ -8,7 +8,7 @@
  *
  *
  * IDENTIFICATION
- *	  $Header: /cvsroot/pgsql/src/backend/optimizer/path/clausesel.c,v 1.51 2002/06/20 20:29:29 momjian Exp $
+ *	  $Header: /cvsroot/pgsql/src/backend/optimizer/path/clausesel.c,v 1.52 2002/10/19 02:56:16 tgl Exp $
  *
  *-------------------------------------------------------------------------
  */
@@ -102,7 +102,9 @@ restrictlist_selectivity(Query *root,
  * see that hisel is the fraction of the range below the high bound, while
  * losel is the fraction above the low bound; so hisel can be interpreted
  * directly as a 0..1 value but we need to convert losel to 1-losel before
- * interpreting it as a value.	Then the available range is 1-losel to hisel.)
+ * interpreting it as a value.	Then the available range is 1-losel to hisel.
+ * However, this calculation double-excludes nulls, so really we need
+ * hisel + losel + null_frac - 1.)
  * If the calculation yields zero or negative, however, we chicken out and
  * use a default estimate; that probably means that one or both
  * selectivities is a default estimate rather than an actual range value.
@@ -199,6 +201,9 @@ clauselist_selectivity(Query *root,
 			/* Successfully matched a pair of range clauses */
 			Selectivity s2 = rqlist->hibound + rqlist->lobound - 1.0;
 
+			/* Adjust for double-exclusion of NULLs */
+			s2 += nulltestsel(root, IS_NULL, rqlist->var, varRelid);
+
 			/*
 			 * A zero or slightly negative s2 should be converted into a
 			 * small positive value; we probably are dealing with a very
@@ -503,12 +508,18 @@ clause_selectivity(Query *root,
 	else if (IsA(clause, NullTest))
 	{
 		/* Use node specific selectivity calculation function */
-		s1 = nulltestsel(root, (NullTest *) clause, varRelid);
+		s1 = nulltestsel(root,
+						 ((NullTest *) clause)->nulltesttype,
+						 ((NullTest *) clause)->arg,
+						 varRelid);
 	}
 	else if (IsA(clause, BooleanTest))
 	{
 		/* Use node specific selectivity calculation function */
-		s1 = booltestsel(root, (BooleanTest *) clause, varRelid);
+		s1 = booltestsel(root,
+						 ((BooleanTest *) clause)->booltesttype,
+						 ((BooleanTest *) clause)->arg,
+						 varRelid);
 	}
 	else if (IsA(clause, RelabelType))
 	{
diff --git a/src/backend/utils/adt/selfuncs.c b/src/backend/utils/adt/selfuncs.c
index 693925b7ab5a2e4fa1934317633f8692208a9d37..211ccbf87bd397fed882d572b91bf216db151135 100644
--- a/src/backend/utils/adt/selfuncs.c
+++ b/src/backend/utils/adt/selfuncs.c
@@ -15,7 +15,7 @@
  *
  *
  * IDENTIFICATION
- *	  $Header: /cvsroot/pgsql/src/backend/utils/adt/selfuncs.c,v 1.118 2002/09/20 03:55:40 momjian Exp $
+ *	  $Header: /cvsroot/pgsql/src/backend/utils/adt/selfuncs.c,v 1.119 2002/10/19 02:56:16 tgl Exp $
  *
  *-------------------------------------------------------------------------
  */
@@ -1007,10 +1007,9 @@ icnlikesel(PG_FUNCTION_ARGS)
  *		booltestsel		- Selectivity of BooleanTest Node.
  */
 Selectivity
-booltestsel(Query *root, BooleanTest *clause, int varRelid)
+booltestsel(Query *root, BoolTestType booltesttype, Node *arg, int varRelid)
 {
 	Var		   *var;
-	Node	   *arg;
 	Oid			relid;
 	HeapTuple	statsTuple;
 	Datum	   *values;
@@ -1019,10 +1018,6 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 	int			nnumbers;
 	double		selec;
 
-	Assert(clause && IsA(clause, BooleanTest));
-
-	arg = (Node *) clause->arg;
-
 	/*
 	 * Ignore any binary-compatible relabeling (probably unnecessary, but
 	 * can't hurt)
@@ -1040,7 +1035,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 		 * the possibility of a NULL value when using clause_selectivity,
 		 * and just assume the value is either TRUE or FALSE.
 		 */
-		switch (clause->booltesttype)
+		switch (booltesttype)
 		{
 			case IS_UNKNOWN:
 				selec = DEFAULT_UNK_SEL;
@@ -1058,7 +1053,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 				break;
 			default:
 				elog(ERROR, "booltestsel: unexpected booltesttype %d",
-					 (int) clause->booltesttype);
+					 (int) booltesttype);
 				selec = 0.0;	/* Keep compiler quiet */
 				break;
 		}
@@ -1107,7 +1102,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 			 */
 			freq_false = 1.0 - freq_true - freq_null;
 
-			switch (clause->booltesttype)
+			switch (booltesttype)
 			{
 				case IS_UNKNOWN:
 					/* select only NULL values */
@@ -1135,7 +1130,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 					break;
 				default:
 					elog(ERROR, "booltestsel: unexpected booltesttype %d",
-						 (int) clause->booltesttype);
+						 (int) booltesttype);
 					selec = 0.0;	/* Keep compiler quiet */
 					break;
 			}
@@ -1151,7 +1146,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 			 * Otherwise adjust for null fraction and assume an even split
 			 * for boolean tests.
 			 */
-			switch (clause->booltesttype)
+			switch (booltesttype)
 			{
 				case IS_UNKNOWN:
 
@@ -1176,7 +1171,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 					break;
 				default:
 					elog(ERROR, "booltestsel: unexpected booltesttype %d",
-						 (int) clause->booltesttype);
+						 (int) booltesttype);
 					selec = 0.0;	/* Keep compiler quiet */
 					break;
 			}
@@ -1190,7 +1185,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 		 * No VACUUM ANALYZE stats available, so use a default value.
 		 * (Note: not much point in recursing to clause_selectivity here.)
 		 */
-		switch (clause->booltesttype)
+		switch (booltesttype)
 		{
 			case IS_UNKNOWN:
 				selec = DEFAULT_UNK_SEL;
@@ -1206,7 +1201,7 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
 				break;
 			default:
 				elog(ERROR, "booltestsel: unexpected booltesttype %d",
-					 (int) clause->booltesttype);
+					 (int) booltesttype);
 				selec = 0.0;	/* Keep compiler quiet */
 				break;
 		}
@@ -1222,19 +1217,16 @@ booltestsel(Query *root, BooleanTest *clause, int varRelid)
  *		nulltestsel		- Selectivity of NullTest Node.
  */
 Selectivity
-nulltestsel(Query *root, NullTest *clause, int varRelid)
+nulltestsel(Query *root, NullTestType nulltesttype, Node *arg, int varRelid)
 {
 	Var		   *var;
-	Node	   *arg;
 	Oid			relid;
 	HeapTuple	statsTuple;
 	double		selec;
 	double		defselec;
 	double		freq_null;
 
-	Assert(clause && IsA(clause, NullTest));
-
-	switch (clause->nulltesttype)
+	switch (nulltesttype)
 	{
 		case IS_NULL:
 			defselec = DEFAULT_UNK_SEL;
@@ -1244,25 +1236,22 @@ nulltestsel(Query *root, NullTest *clause, int varRelid)
 			break;
 		default:
 			elog(ERROR, "nulltestsel: unexpected nulltesttype %d",
-				 (int) clause->nulltesttype);
+				 (int) nulltesttype);
 			return (Selectivity) 0;		/* keep compiler quiet */
 	}
 
-	arg = (Node *) clause->arg;
-
 	/*
 	 * Ignore any binary-compatible relabeling
 	 */
 	if (IsA(arg, RelabelType))
 		arg = ((RelabelType *) arg)->arg;
 
-	if (IsA(arg, Var) &&(varRelid == 0 || varRelid == ((Var *) arg)->varno))
+	if (IsA(arg, Var) &&
+		(varRelid == 0 || varRelid == ((Var *) arg)->varno))
 		var = (Var *) arg;
 	else
 	{
-		/*
-		 * punt if non-Var argument
-		 */
+		/* punt if non-Var argument */
 		return (Selectivity) defselec;
 	}
 
@@ -1282,7 +1271,7 @@ nulltestsel(Query *root, NullTest *clause, int varRelid)
 		stats = (Form_pg_statistic) GETSTRUCT(statsTuple);
 		freq_null = stats->stanullfrac;
 
-		switch (clause->nulltesttype)
+		switch (nulltesttype)
 		{
 			case IS_NULL:
 
@@ -1301,7 +1290,7 @@ nulltestsel(Query *root, NullTest *clause, int varRelid)
 				break;
 			default:
 				elog(ERROR, "nulltestsel: unexpected nulltesttype %d",
-					 (int) clause->nulltesttype);
+					 (int) nulltesttype);
 				return (Selectivity) 0; /* keep compiler quiet */
 		}
 
@@ -2978,6 +2967,10 @@ prefix_selectivity(Query *root, Var *var, Const *prefixcon)
 	else
 		prefix = DatumGetCString(DirectFunctionCall1(byteaout, prefixcon->constvalue));
 
+	/* If var is type NAME, must adjust type of comparison constant */
+	if (var->vartype == NAMEOID)
+		prefixcon = string_to_const(prefix, NAMEOID);
+
 	cmpargs = makeList2(var, prefixcon);
 	/* Assume scalargtsel is appropriate for all supported types */
 	prefixsel = DatumGetFloat8(DirectFunctionCall4(scalargtsel,
@@ -3014,6 +3007,9 @@ prefix_selectivity(Query *root, Var *var, Const *prefixcon)
 		 */
 		prefixsel = topsel + prefixsel - 1.0;
 
+		/* Adjust for double-exclusion of NULLs */
+		prefixsel += nulltestsel(root, IS_NULL, (Node *) var, var->varno);
+
 		/*
 		 * A zero or slightly negative prefixsel should be converted into
 		 * a small positive value; we probably are dealing with a very
@@ -3351,6 +3347,7 @@ make_greater_string(const Const *str_const)
 	while (len > 0)
 	{
 		unsigned char *lastchar = (unsigned char *) (workstr + len - 1);
+		unsigned char savelastchar = *lastchar;
 
 		/*
 		 * Try to generate a larger string by incrementing the last byte.
@@ -3369,6 +3366,9 @@ make_greater_string(const Const *str_const)
 			}
 		}
 
+		/* restore last byte so we don't confuse pg_mbcliplen */
+		*lastchar = savelastchar;
+
 		/*
 		 * Truncate off the last character, which might be more than 1
 		 * byte, depending on the character encoding.
diff --git a/src/include/utils/selfuncs.h b/src/include/utils/selfuncs.h
index 4ed6c1755c74c3f63ac12cab7b7f394de3d6deac..8e73e61ffdc8b998030e439f98f0ce7161fe5c95 100644
--- a/src/include/utils/selfuncs.h
+++ b/src/include/utils/selfuncs.h
@@ -8,7 +8,7 @@
  * Portions Copyright (c) 1996-2002, PostgreSQL Global Development Group
  * Portions Copyright (c) 1994, Regents of the University of California
  *
- * $Id: selfuncs.h,v 1.8 2002/09/04 20:31:46 momjian Exp $
+ * $Id: selfuncs.h,v 1.9 2002/10/19 02:56:16 tgl Exp $
  *
  *-------------------------------------------------------------------------
  */
@@ -66,8 +66,10 @@ extern Datum icregexnejoinsel(PG_FUNCTION_ARGS);
 extern Datum nlikejoinsel(PG_FUNCTION_ARGS);
 extern Datum icnlikejoinsel(PG_FUNCTION_ARGS);
 
-extern Selectivity booltestsel(Query *root, BooleanTest *clause, int varRelid);
-extern Selectivity nulltestsel(Query *root, NullTest *clause, int varRelid);
+extern Selectivity booltestsel(Query *root, BoolTestType booltesttype,
+							   Node *arg, int varRelid);
+extern Selectivity nulltestsel(Query *root, NullTestType nulltesttype,
+							   Node *arg, int varRelid);
 
 extern void mergejoinscansel(Query *root, Node *clause,
 				 Selectivity *leftscan,