From f31a931fade868d788ef4480c59753a2d5059246 Mon Sep 17 00:00:00 2001
From: Tom Lane <tgl@sss.pgh.pa.us>
Date: Tue, 27 Sep 2016 11:38:33 -0400
Subject: [PATCH] Improve contrib/cube's handling of zero-D cubes, infinities,
 and NaNs.

It's always been possible to create a zero-dimensional cube by converting
from a zero-length float8 array, but cube_in failed to accept the '()'
representation that cube_out produced for that case, resulting in a
dump/reload hazard.  Make it accept the case.  Also fix a couple of
other places that didn't behave sanely for zero-dimensional cubes:
cube_size would produce 1.0 when surely the answer should be 0.0,
and g_cube_distance risked a divide-by-zero failure.

Likewise, it's always been possible to create cubes containing float8
infinity or NaN coordinate values, but cube_in couldn't parse such input,
and cube_out produced platform-dependent spellings of the values.  Convert
them to use float8in_internal and float8out_internal so that the behavior
will be the same as for float8, as we recently did for the core geometric
types (cf commit 50861cd68).  As in that commit, I don't pretend that this
patch fixes all insane corner-case behaviors that may exist for NaNs, but
it's a step forward.

(This change allows removal of the separate cube_1.out and cube_3.out
expected-files, as the platform dependency that previously required them
is now gone: an underflowing coordinate value will now produce an error
not plus or minus zero.)

Make errors from cube_in follow project conventions as to spelling
("invalid input syntax for cube" not "bad cube representation")
and errcode (INVALID_TEXT_REPRESENTATION not SYNTAX_ERROR).

Also a few marginal code cleanups and comment improvements.

Tom Lane, reviewed by Amul Sul

Discussion: <15085.1472494782@sss.pgh.pa.us>
---
 contrib/cube/cube.c              |   70 +-
 contrib/cube/cubedata.h          |    7 +
 contrib/cube/cubeparse.y         |  148 +--
 contrib/cube/cubescan.l          |   15 +-
 contrib/cube/expected/cube.out   |  115 +-
 contrib/cube/expected/cube_1.out | 1710 ------------------------------
 contrib/cube/expected/cube_2.out |  115 +-
 contrib/cube/expected/cube_3.out | 1710 ------------------------------
 contrib/cube/sql/cube.sql        |   11 +-
 9 files changed, 275 insertions(+), 3626 deletions(-)
 delete mode 100644 contrib/cube/expected/cube_1.out
 delete mode 100644 contrib/cube/expected/cube_3.out

diff --git a/contrib/cube/cube.c b/contrib/cube/cube.c
index 3feddef8f3..2bb2ed029d 100644
--- a/contrib/cube/cube.c
+++ b/contrib/cube/cube.c
@@ -122,7 +122,7 @@ cube_in(PG_FUNCTION_ARGS)
 	cube_scanner_init(str);
 
 	if (cube_yyparse(&result) != 0)
-		cube_yyerror(&result, "bogus input");
+		cube_yyerror(&result, "cube parser failed");
 
 	cube_scanner_finish();
 
@@ -254,12 +254,9 @@ cube_subset(PG_FUNCTION_ARGS)
 	for (i = 0; i < dim; i++)
 	{
 		if ((dx[i] <= 0) || (dx[i] > DIM(c)))
-		{
-			pfree(result);
 			ereport(ERROR,
 					(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
 					 errmsg("Index out of bounds")));
-		}
 		result->x[i] = c->x[dx[i] - 1];
 		if (!IS_POINT(c))
 			result->x[i + dim] = c->x[dx[i] + DIM(c) - 1];
@@ -276,27 +273,15 @@ cube_out(PG_FUNCTION_ARGS)
 	StringInfoData buf;
 	int			dim = DIM(cube);
 	int			i;
-	int			ndig;
 
 	initStringInfo(&buf);
 
-	/*
-	 * Get the number of digits to display.
-	 */
-	ndig = DBL_DIG + extra_float_digits;
-	if (ndig < 1)
-		ndig = 1;
-
-	/*
-	 * while printing the first (LL) corner, check if it is equal to the
-	 * second one
-	 */
 	appendStringInfoChar(&buf, '(');
 	for (i = 0; i < dim; i++)
 	{
 		if (i > 0)
 			appendStringInfoString(&buf, ", ");
-		appendStringInfo(&buf, "%.*g", ndig, LL_COORD(cube, i));
+		appendStringInfoString(&buf, float8out_internal(LL_COORD(cube, i)));
 	}
 	appendStringInfoChar(&buf, ')');
 
@@ -307,7 +292,7 @@ cube_out(PG_FUNCTION_ARGS)
 		{
 			if (i > 0)
 				appendStringInfoString(&buf, ", ");
-			appendStringInfo(&buf, "%.*g", ndig, UR_COORD(cube, i));
+			appendStringInfoString(&buf, float8out_internal(UR_COORD(cube, i)));
 		}
 		appendStringInfoChar(&buf, ')');
 	}
@@ -370,9 +355,6 @@ g_cube_union(PG_FUNCTION_ARGS)
 	NDBOX	   *tmp;
 	int			i;
 
-	/*
-	 * fprintf(stderr, "union\n");
-	 */
 	tmp = DatumGetNDBOX(entryvec->vector[0].key);
 
 	/*
@@ -441,9 +423,6 @@ g_cube_penalty(PG_FUNCTION_ARGS)
 	rt_cube_size(DatumGetNDBOX(origentry->key), &tmp2);
 	*result = (float) (tmp1 - tmp2);
 
-	/*
-	 * fprintf(stderr, "penalty\n"); fprintf(stderr, "\t%g\n", *result);
-	 */
 	PG_RETURN_FLOAT8(*result);
 }
 
@@ -484,9 +463,6 @@ g_cube_picksplit(PG_FUNCTION_ARGS)
 			   *right;
 	OffsetNumber maxoff;
 
-	/*
-	 * fprintf(stderr, "picksplit\n");
-	 */
 	maxoff = entryvec->n - 2;
 	nbytes = (maxoff + 2) * sizeof(OffsetNumber);
 	v->spl_left = (OffsetNumber *) palloc(nbytes);
@@ -617,9 +593,6 @@ g_cube_same(PG_FUNCTION_ARGS)
 	else
 		*result = FALSE;
 
-	/*
-	 * fprintf(stderr, "same: %s\n", (*result ? "TRUE" : "FALSE" ));
-	 */
 	PG_RETURN_NDBOX(result);
 }
 
@@ -633,9 +606,6 @@ g_cube_leaf_consistent(NDBOX *key,
 {
 	bool		retval;
 
-	/*
-	 * fprintf(stderr, "leaf_consistent, %d\n", strategy);
-	 */
 	switch (strategy)
 	{
 		case RTOverlapStrategyNumber:
@@ -665,9 +635,6 @@ g_cube_internal_consistent(NDBOX *key,
 {
 	bool		retval;
 
-	/*
-	 * fprintf(stderr, "internal_consistent, %d\n", strategy);
-	 */
 	switch (strategy)
 	{
 		case RTOverlapStrategyNumber:
@@ -865,12 +832,8 @@ cube_size(PG_FUNCTION_ARGS)
 {
 	NDBOX	   *a = PG_GETARG_NDBOX(0);
 	double		result;
-	int			i;
-
-	result = 1.0;
-	for (i = 0; i < DIM(a); i++)
-		result = result * Abs((LL_COORD(a, i) - UR_COORD(a, i)));
 
+	rt_cube_size(a, &result);
 	PG_FREE_IF_COPY(a, 0);
 	PG_RETURN_FLOAT8(result);
 }
@@ -878,17 +841,26 @@ cube_size(PG_FUNCTION_ARGS)
 void
 rt_cube_size(NDBOX *a, double *size)
 {
+	double		result;
 	int			i;
 
 	if (a == (NDBOX *) NULL)
-		*size = 0.0;
+	{
+		/* special case for GiST */
+		result = 0.0;
+	}
+	else if (IS_POINT(a) || DIM(a) == 0)
+	{
+		/* necessarily has zero size */
+		result = 0.0;
+	}
 	else
 	{
-		*size = 1.0;
+		result = 1.0;
 		for (i = 0; i < DIM(a); i++)
-			*size = (*size) * Abs(UR_COORD(a, i) - LL_COORD(a, i));
+			result *= Abs(UR_COORD(a, i) - LL_COORD(a, i));
 	}
-	return;
+	*size = result;
 }
 
 /* make up a metric in which one box will be 'lower' than the other
@@ -1155,10 +1127,6 @@ cube_overlap_v0(NDBOX *a, NDBOX *b)
 {
 	int			i;
 
-	/*
-	 * This *very bad* error was found in the source: if ( (a==NULL) ||
-	 * (b=NULL) ) return(FALSE);
-	 */
 	if ((a == NULL) || (b == NULL))
 		return (FALSE);
 
@@ -1370,7 +1338,9 @@ g_cube_distance(PG_FUNCTION_ARGS)
 	{
 		int			coord = PG_GETARG_INT32(1);
 
-		if (IS_POINT(cube))
+		if (DIM(cube) == 0)
+			retval = 0.0;
+		else if (IS_POINT(cube))
 			retval = cube->x[(coord - 1) % DIM(cube)];
 		else
 			retval = Min(cube->x[(coord - 1) % DIM(cube)],
diff --git a/contrib/cube/cubedata.h b/contrib/cube/cubedata.h
index 7eaac39640..af02464178 100644
--- a/contrib/cube/cubedata.h
+++ b/contrib/cube/cubedata.h
@@ -1,5 +1,9 @@
 /* contrib/cube/cubedata.h */
 
+/*
+ * This limit is pretty arbitrary, but don't make it so large that you
+ * risk overflow in sizing calculations.
+ */
 #define CUBE_MAX_DIM (100)
 
 typedef struct NDBOX
@@ -29,6 +33,7 @@ typedef struct NDBOX
 	double		x[FLEXIBLE_ARRAY_MEMBER];
 } NDBOX;
 
+/* NDBOX access macros */
 #define POINT_BIT			0x80000000
 #define DIM_MASK			0x7fffffff
 
@@ -43,10 +48,12 @@ typedef struct NDBOX
 #define POINT_SIZE(_dim)	(offsetof(NDBOX, x) + sizeof(double)*(_dim))
 #define CUBE_SIZE(_dim)		(offsetof(NDBOX, x) + sizeof(double)*(_dim)*2)
 
+/* fmgr interface macros */
 #define DatumGetNDBOX(x)	((NDBOX *) PG_DETOAST_DATUM(x))
 #define PG_GETARG_NDBOX(x)	DatumGetNDBOX(PG_GETARG_DATUM(x))
 #define PG_RETURN_NDBOX(x)	PG_RETURN_POINTER(x)
 
+/* GiST operator strategy numbers */
 #define CubeKNNDistanceCoord			15		/* ~> */
 #define CubeKNNDistanceTaxicab			16		/* <#> */
 #define CubeKNNDistanceEuclid			17		/* <-> */
diff --git a/contrib/cube/cubeparse.y b/contrib/cube/cubeparse.y
index 33606c741c..1b65fa967c 100644
--- a/contrib/cube/cubeparse.y
+++ b/contrib/cube/cubeparse.y
@@ -4,12 +4,13 @@
 /* NdBox = [(lowerleft),(upperright)] */
 /* [(xLL(1)...xLL(N)),(xUR(1)...xUR(n))] */
 
-#define YYSTYPE char *
-#define YYDEBUG 1
-
 #include "postgres.h"
 
 #include "cubedata.h"
+#include "utils/builtins.h"
+
+/* All grammar constructs return strings */
+#define YYSTYPE char *
 
 /*
  * Bison doesn't allocate anything that needs to live across parser calls,
@@ -25,9 +26,9 @@
 static char *scanbuf;
 static int	scanbuflen;
 
-static int delim_count(char *s, char delim);
-static NDBOX * write_box(unsigned int dim, char *str1, char *str2);
-static NDBOX * write_point_as_box(char *s, int dim);
+static int item_count(const char *s, char delim);
+static NDBOX *write_box(int dim, char *str1, char *str2);
+static NDBOX *write_point_as_box(int dim, char *str);
 
 %}
 
@@ -46,47 +47,48 @@ box: O_BRACKET paren_list COMMA paren_list C_BRACKET
 	{
 		int dim;
 
-		dim = delim_count($2, ',') + 1;
-		if ((delim_count($4, ',') + 1) != dim)
+		dim = item_count($2, ',');
+		if (item_count($4, ',') != dim)
 		{
 			ereport(ERROR,
-					(errcode(ERRCODE_SYNTAX_ERROR),
-					 errmsg("bad cube representation"),
+					(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+					 errmsg("invalid input syntax for cube"),
 					 errdetail("Different point dimensions in (%s) and (%s).",
 							   $2, $4)));
 			YYABORT;
 		}
-		if (dim > CUBE_MAX_DIM) {
+		if (dim > CUBE_MAX_DIM)
+		{
 			ereport(ERROR,
-					(errcode(ERRCODE_SYNTAX_ERROR),
-					 errmsg("bad cube representation"),
+					(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+					 errmsg("invalid input syntax for cube"),
 					 errdetail("A cube cannot have more than %d dimensions.",
 							   CUBE_MAX_DIM)));
 			YYABORT;
 		}
 
 		*result = write_box( dim, $2, $4 );
-
 	}
 
 	| paren_list COMMA paren_list
 	{
 		int dim;
 
-		dim = delim_count($1, ',') + 1;
-
-		if ( (delim_count($3, ',') + 1) != dim ) {
+		dim = item_count($1, ',');
+		if (item_count($3, ',') != dim)
+		{
 			ereport(ERROR,
-					(errcode(ERRCODE_SYNTAX_ERROR),
-					 errmsg("bad cube representation"),
+					(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+					 errmsg("invalid input syntax for cube"),
 					 errdetail("Different point dimensions in (%s) and (%s).",
 							   $1, $3)));
 			YYABORT;
 		}
-		if (dim > CUBE_MAX_DIM) {
+		if (dim > CUBE_MAX_DIM)
+		{
 			ereport(ERROR,
-					(errcode(ERRCODE_SYNTAX_ERROR),
-					 errmsg("bad cube representation"),
+					(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+					 errmsg("invalid input syntax for cube"),
 					 errdetail("A cube cannot have more than %d dimensions.",
 							   CUBE_MAX_DIM)));
 			YYABORT;
@@ -99,33 +101,36 @@ box: O_BRACKET paren_list COMMA paren_list C_BRACKET
 	{
 		int dim;
 
-		dim = delim_count($1, ',') + 1;
-		if (dim > CUBE_MAX_DIM) {
+		dim = item_count($1, ',');
+		if (dim > CUBE_MAX_DIM)
+		{
 			ereport(ERROR,
-					(errcode(ERRCODE_SYNTAX_ERROR),
-					 errmsg("bad cube representation"),
+					(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+					 errmsg("invalid input syntax for cube"),
 					 errdetail("A cube cannot have more than %d dimensions.",
 							   CUBE_MAX_DIM)));
 			YYABORT;
 		}
 
-		*result = write_point_as_box($1, dim);
+		*result = write_point_as_box(dim, $1);
 	}
 
 	| list
 	{
 		int dim;
 
-		dim = delim_count($1, ',') + 1;
-		if (dim > CUBE_MAX_DIM) {
+		dim = item_count($1, ',');
+		if (dim > CUBE_MAX_DIM)
+		{
 			ereport(ERROR,
-					(errcode(ERRCODE_SYNTAX_ERROR),
-					 errmsg("bad cube representation"),
+					(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+					 errmsg("invalid input syntax for cube"),
 					 errdetail("A cube cannot have more than %d dimensions.",
 							   CUBE_MAX_DIM)));
 			YYABORT;
 		}
-		*result = write_point_as_box($1, dim);
+
+		*result = write_point_as_box(dim, $1);
 	}
 	;
 
@@ -133,6 +138,10 @@ paren_list: O_PAREN list C_PAREN
 	{
 		$$ = $2;
 	}
+	| O_PAREN C_PAREN
+	{
+		$$ = pstrdup("");
+	}
 	;
 
 list: CUBEFLOAT
@@ -151,24 +160,30 @@ list: CUBEFLOAT
 
 %%
 
+/* This assumes the string has been normalized by productions above */
 static int
-delim_count(char *s, char delim)
+item_count(const char *s, char delim)
 {
-	int			ndelim = 0;
+	int			nitems = 0;
 
-	while ((s = strchr(s, delim)) != NULL)
+	if (s[0] != '\0')
 	{
-		ndelim++;
-		s++;
+		nitems++;
+		while ((s = strchr(s, delim)) != NULL)
+		{
+			nitems++;
+			s++;
+		}
 	}
-	return (ndelim);
+	return nitems;
 }
 
 static NDBOX *
-write_box(unsigned int dim, char *str1, char *str2)
+write_box(int dim, char *str1, char *str2)
 {
 	NDBOX	   *bp;
 	char	   *s;
+	char	   *endptr;
 	int			i;
 	int			size = CUBE_SIZE(dim);
 	bool		point = true;
@@ -178,50 +193,58 @@ write_box(unsigned int dim, char *str1, char *str2)
 	SET_DIM(bp, dim);
 
 	s = str1;
-	bp->x[i=0] = strtod(s, NULL);
+	i = 0;
+	if (dim > 0)
+		bp->x[i++] = float8in_internal(s, &endptr, "cube", str1);
 	while ((s = strchr(s, ',')) != NULL)
 	{
-		s++; i++;
-		bp->x[i] = strtod(s, NULL);
+		s++;
+		bp->x[i++] = float8in_internal(s, &endptr, "cube", str1);
 	}
+	Assert(i == dim);
 
 	s = str2;
-	bp->x[i=dim] = strtod(s, NULL);
-	if (bp->x[dim] != bp->x[0])
-		point = false;
+	if (dim > 0)
+	{
+		bp->x[i] = float8in_internal(s, &endptr, "cube", str2);
+		/* code this way to do right thing with NaN */
+		point &= (bp->x[i] == bp->x[0]);
+		i++;
+	}
 	while ((s = strchr(s, ',')) != NULL)
 	{
-		s++; i++;
-		bp->x[i] = strtod(s, NULL);
-		if (bp->x[i] != bp->x[i-dim])
-			point = false;
+		s++;
+		bp->x[i] = float8in_internal(s, &endptr, "cube", str2);
+		point &= (bp->x[i] == bp->x[i - dim]);
+		i++;
 	}
+	Assert(i == dim * 2);
 
 	if (point)
 	{
 		/*
 		 * The value turned out to be a point, ie. all the upper-right
 		 * coordinates were equal to the lower-left coordinates. Resize the
-		 * the cube we constructed. Note: we don't bother to repalloc() it
-		 * smaller, it's unlikely that the tiny amount of memory free'd that
-		 * way would be useful.
+		 * cube we constructed.  Note: we don't bother to repalloc() it
+		 * smaller, as it's unlikely that the tiny amount of memory freed
+		 * that way would be useful, and the output is always short-lived.
 		 */
 		size = POINT_SIZE(dim);
 		SET_VARSIZE(bp, size);
 		SET_POINT_BIT(bp);
 	}
 
-	return(bp);
+	return bp;
 }
 
 static NDBOX *
-write_point_as_box(char *str, int dim)
+write_point_as_box(int dim, char *str)
 {
 	NDBOX		*bp;
 	int			i,
 				size;
-	double		x;
-	char		*s = str;
+	char	   *s;
+	char	   *endptr;
 
 	size = POINT_SIZE(dim);
 	bp = palloc0(size);
@@ -229,17 +252,18 @@ write_point_as_box(char *str, int dim)
 	SET_DIM(bp, dim);
 	SET_POINT_BIT(bp);
 
+	s = str;
 	i = 0;
-	x = strtod(s, NULL);
-	bp->x[0] = x;
+	if (dim > 0)
+		bp->x[i++] = float8in_internal(s, &endptr, "cube", str);
 	while ((s = strchr(s, ',')) != NULL)
 	{
-		s++; i++;
-		x = strtod(s, NULL);
-		bp->x[i] = x;
+		s++;
+		bp->x[i++] = float8in_internal(s, &endptr, "cube", str);
 	}
+	Assert(i == dim);
 
-	return(bp);
+	return bp;
 }
 
 #include "cubescan.c"
diff --git a/contrib/cube/cubescan.l b/contrib/cube/cubescan.l
index 4408e28387..dada917820 100644
--- a/contrib/cube/cubescan.l
+++ b/contrib/cube/cubescan.l
@@ -38,36 +38,41 @@ n            [0-9]+
 integer      [+-]?{n}
 real         [+-]?({n}\.{n}?|\.{n})
 float        ({integer}|{real})([eE]{integer})?
+infinity     [+-]?[iI][nN][fF]([iI][nN][iI][tT][yY])?
+NaN          [nN][aA][nN]
 
 %%
 
 {float}      yylval = yytext; return CUBEFLOAT;
+{infinity}   yylval = yytext; return CUBEFLOAT;
+{NaN}        yylval = yytext; return CUBEFLOAT;
 \[           yylval = "("; return O_BRACKET;
 \]           yylval = ")"; return C_BRACKET;
 \(           yylval = "("; return O_PAREN;
 \)           yylval = ")"; return C_PAREN;
-\,           yylval = ")"; return COMMA;
+\,           yylval = ","; return COMMA;
 [ \t\n\r\f]+ /* discard spaces */
 .            return yytext[0]; /* alert parser of the garbage */
 
 %%
 
+/* result is not used, but Bison expects this signature */
 void
 yyerror(NDBOX **result, const char *message)
 {
 	if (*yytext == YY_END_OF_BUFFER_CHAR)
 	{
 		ereport(ERROR,
-				(errcode(ERRCODE_SYNTAX_ERROR),
-				 errmsg("bad cube representation"),
+				(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+				 errmsg("invalid input syntax for cube"),
 				 /* translator: %s is typically "syntax error" */
 				 errdetail("%s at end of input", message)));
 	}
 	else
 	{
 		ereport(ERROR,
-				(errcode(ERRCODE_SYNTAX_ERROR),
-				 errmsg("bad cube representation"),
+				(errcode(ERRCODE_INVALID_TEXT_REPRESENTATION),
+				 errmsg("invalid input syntax for cube"),
 				 /* translator: first %s is typically "syntax error" */
 				 errdetail("%s at or near \"%s\"", message, yytext)));
 	}
diff --git a/contrib/cube/expected/cube.out b/contrib/cube/expected/cube.out
index e9e2c0f15b..095491fa0c 100644
--- a/contrib/cube/expected/cube.out
+++ b/contrib/cube/expected/cube.out
@@ -126,16 +126,34 @@ SELECT '-1.0e-7'::cube AS cube;
  (-1e-07)
 (1 row)
 
-SELECT '1e-700'::cube AS cube;
- cube 
-------
- (0)
+SELECT '1e-300'::cube AS cube;
+   cube   
+----------
+ (1e-300)
 (1 row)
 
-SELECT '-1e-700'::cube AS cube;
- cube 
-------
- (0)
+SELECT '-1e-300'::cube AS cube;
+   cube    
+-----------
+ (-1e-300)
+(1 row)
+
+SELECT 'infinity'::cube AS cube;
+    cube    
+------------
+ (Infinity)
+(1 row)
+
+SELECT '-infinity'::cube AS cube;
+    cube     
+-------------
+ (-Infinity)
+(1 row)
+
+SELECT 'NaN'::cube AS cube;
+ cube  
+-------
+ (NaN)
 (1 row)
 
 SELECT '1234567890123456'::cube AS cube;
@@ -175,6 +193,12 @@ SELECT '-.1234567890123456'::cube AS cube;
 (1 row)
 
 -- simple lists (points)
+SELECT '()'::cube AS cube;
+ cube 
+------
+ ()
+(1 row)
+
 SELECT '1,2'::cube AS cube;
   cube  
 --------
@@ -200,6 +224,12 @@ SELECT '(1,2,3,4,5)'::cube AS cube;
 (1 row)
 
 -- double lists (cubes)
+SELECT '(),()'::cube AS cube;
+ cube 
+------
+ ()
+(1 row)
+
 SELECT '(0),(0)'::cube AS cube;
  cube 
 ------
@@ -250,146 +280,145 @@ SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
 
 -- invalid input: parse errors
 SELECT ''::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT ''::cube AS cube;
                ^
 DETAIL:  syntax error at end of input
 SELECT 'ABC'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT 'ABC'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "A"
-SELECT '()'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '()'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
 SELECT '[]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "]"
 SELECT '[()]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[()]'::cube AS cube;
                ^
-DETAIL:  syntax error at or near ")"
+DETAIL:  syntax error at or near "]"
 SELECT '[(1)]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1)]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "]"
 SELECT '[(1),]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "]"
 SELECT '[(1),2]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),2]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "2"
 SELECT '[(1),(2),(3)]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),(2),(3)]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '1,'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,'::cube AS cube;
                ^
 DETAIL:  syntax error at end of input
 SELECT '1,2,'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,2,'::cube AS cube;
                ^
 DETAIL:  syntax error at end of input
 SELECT '1,,2'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,,2'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '(1,)'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,)'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ")"
 SELECT '(1,2,)'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,)'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ")"
 SELECT '(1,,2)'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,,2)'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 -- invalid input: semantic errors and trailing garbage
 SELECT '[(1),(2)],'::cube AS cube; -- 0
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),(2)],'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1,2,3),(2,3)]'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2,3) and (2,3).
 SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1,2),(1,2,3)]'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2) and (1,2,3).
 SELECT '(1),(2),'::cube AS cube; -- 2
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1),(2),'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,3),(2,3)'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2,3) and (2,3).
 SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2),(1,2,3)'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2) and (1,2,3).
 SELECT '(1,2,3)ab'::cube AS cube; -- 4
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,3)ab'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '(1,2,3)a'::cube AS cube; -- 5
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,3)a'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '(1,2)('::cube AS cube; -- 5
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2)('::cube AS cube;
                ^
 DETAIL:  syntax error at or near "("
 SELECT '1,2ab'::cube AS cube; -- 6
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,2ab'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '1 e7'::cube AS cube; -- 6
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1 e7'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "e"
 SELECT '1,2a'::cube AS cube; -- 7
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,2a'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '1..2'::cube AS cube; -- 7
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1..2'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ".2"
+SELECT '-1e-700'::cube AS cube; -- out of range
+ERROR:  "-1e-700" is out of range for type double precision
+LINE 1: SELECT '-1e-700'::cube AS cube;
+               ^
 --
 -- Testing building cubes from float8 values
 --
@@ -556,12 +585,12 @@ SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
 -- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
 --
 select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
                ^
 DETAIL:  A cube cannot have more than 100 dimensions.
 select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
                ^
 DETAIL:  A cube cannot have more than 100 dimensions.
diff --git a/contrib/cube/expected/cube_1.out b/contrib/cube/expected/cube_1.out
deleted file mode 100644
index c40fabcd46..0000000000
--- a/contrib/cube/expected/cube_1.out
+++ /dev/null
@@ -1,1710 +0,0 @@
---
---  Test cube datatype
---
-CREATE EXTENSION cube;
---
--- testing the input and output functions
---
--- Any number (a one-dimensional point)
-SELECT '1'::cube AS cube;
- cube 
-------
- (1)
-(1 row)
-
-SELECT '-1'::cube AS cube;
- cube 
-------
- (-1)
-(1 row)
-
-SELECT '1.'::cube AS cube;
- cube 
-------
- (1)
-(1 row)
-
-SELECT '-1.'::cube AS cube;
- cube 
-------
- (-1)
-(1 row)
-
-SELECT '.1'::cube AS cube;
- cube  
--------
- (0.1)
-(1 row)
-
-SELECT '-.1'::cube AS cube;
-  cube  
---------
- (-0.1)
-(1 row)
-
-SELECT '1.0'::cube AS cube;
- cube 
-------
- (1)
-(1 row)
-
-SELECT '-1.0'::cube AS cube;
- cube 
-------
- (-1)
-(1 row)
-
-SELECT '1e27'::cube AS cube;
-  cube   
----------
- (1e+27)
-(1 row)
-
-SELECT '-1e27'::cube AS cube;
-   cube   
-----------
- (-1e+27)
-(1 row)
-
-SELECT '1.0e27'::cube AS cube;
-  cube   
----------
- (1e+27)
-(1 row)
-
-SELECT '-1.0e27'::cube AS cube;
-   cube   
-----------
- (-1e+27)
-(1 row)
-
-SELECT '1e+27'::cube AS cube;
-  cube   
----------
- (1e+27)
-(1 row)
-
-SELECT '-1e+27'::cube AS cube;
-   cube   
-----------
- (-1e+27)
-(1 row)
-
-SELECT '1.0e+27'::cube AS cube;
-  cube   
----------
- (1e+27)
-(1 row)
-
-SELECT '-1.0e+27'::cube AS cube;
-   cube   
-----------
- (-1e+27)
-(1 row)
-
-SELECT '1e-7'::cube AS cube;
-  cube   
----------
- (1e-07)
-(1 row)
-
-SELECT '-1e-7'::cube AS cube;
-   cube   
-----------
- (-1e-07)
-(1 row)
-
-SELECT '1.0e-7'::cube AS cube;
-  cube   
----------
- (1e-07)
-(1 row)
-
-SELECT '-1.0e-7'::cube AS cube;
-   cube   
-----------
- (-1e-07)
-(1 row)
-
-SELECT '1e-700'::cube AS cube;
- cube 
-------
- (0)
-(1 row)
-
-SELECT '-1e-700'::cube AS cube;
- cube 
-------
- (-0)
-(1 row)
-
-SELECT '1234567890123456'::cube AS cube;
-          cube          
-------------------------
- (1.23456789012346e+15)
-(1 row)
-
-SELECT '+1234567890123456'::cube AS cube;
-          cube          
-------------------------
- (1.23456789012346e+15)
-(1 row)
-
-SELECT '-1234567890123456'::cube AS cube;
-          cube           
--------------------------
- (-1.23456789012346e+15)
-(1 row)
-
-SELECT '.1234567890123456'::cube AS cube;
-        cube         
----------------------
- (0.123456789012346)
-(1 row)
-
-SELECT '+.1234567890123456'::cube AS cube;
-        cube         
----------------------
- (0.123456789012346)
-(1 row)
-
-SELECT '-.1234567890123456'::cube AS cube;
-         cube         
-----------------------
- (-0.123456789012346)
-(1 row)
-
--- simple lists (points)
-SELECT '1,2'::cube AS cube;
-  cube  
---------
- (1, 2)
-(1 row)
-
-SELECT '(1,2)'::cube AS cube;
-  cube  
---------
- (1, 2)
-(1 row)
-
-SELECT '1,2,3,4,5'::cube AS cube;
-      cube       
------------------
- (1, 2, 3, 4, 5)
-(1 row)
-
-SELECT '(1,2,3,4,5)'::cube AS cube;
-      cube       
------------------
- (1, 2, 3, 4, 5)
-(1 row)
-
--- double lists (cubes)
-SELECT '(0),(0)'::cube AS cube;
- cube 
-------
- (0)
-(1 row)
-
-SELECT '(0),(1)'::cube AS cube;
-  cube   
----------
- (0),(1)
-(1 row)
-
-SELECT '[(0),(0)]'::cube AS cube;
- cube 
-------
- (0)
-(1 row)
-
-SELECT '[(0),(1)]'::cube AS cube;
-  cube   
----------
- (0),(1)
-(1 row)
-
-SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube;
-     cube     
---------------
- (0, 0, 0, 0)
-(1 row)
-
-SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube;
-           cube            
----------------------------
- (0, 0, 0, 0),(1, 0, 0, 0)
-(1 row)
-
-SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube;
-     cube     
---------------
- (0, 0, 0, 0)
-(1 row)
-
-SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
-           cube            
----------------------------
- (0, 0, 0, 0),(1, 0, 0, 0)
-(1 row)
-
--- invalid input: parse errors
-SELECT ''::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT ''::cube AS cube;
-               ^
-DETAIL:  syntax error at end of input
-SELECT 'ABC'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT 'ABC'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "A"
-SELECT '()'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '()'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '[]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "]"
-SELECT '[()]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[()]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '[(1)]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1)]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "]"
-SELECT '[(1),]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "]"
-SELECT '[(1),2]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),2]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "2"
-SELECT '[(1),(2),(3)]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),(2),(3)]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '1,'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '1,'::cube AS cube;
-               ^
-DETAIL:  syntax error at end of input
-SELECT '1,2,'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '1,2,'::cube AS cube;
-               ^
-DETAIL:  syntax error at end of input
-SELECT '1,,2'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '1,,2'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '(1,)'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,)'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '(1,2,)'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,)'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '(1,,2)'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,,2)'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
--- invalid input: semantic errors and trailing garbage
-SELECT '[(1),(2)],'::cube AS cube; -- 0
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),(2)],'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1,2,3),(2,3)]'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2,3) and (2,3).
-SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1,2),(1,2,3)]'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2) and (1,2,3).
-SELECT '(1),(2),'::cube AS cube; -- 2
-ERROR:  bad cube representation
-LINE 1: SELECT '(1),(2),'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,3),(2,3)'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2,3) and (2,3).
-SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2),(1,2,3)'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2) and (1,2,3).
-SELECT '(1,2,3)ab'::cube AS cube; -- 4
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,3)ab'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '(1,2,3)a'::cube AS cube; -- 5
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,3)a'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '(1,2)('::cube AS cube; -- 5
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2)('::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "("
-SELECT '1,2ab'::cube AS cube; -- 6
-ERROR:  bad cube representation
-LINE 1: SELECT '1,2ab'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '1 e7'::cube AS cube; -- 6
-ERROR:  bad cube representation
-LINE 1: SELECT '1 e7'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "e"
-SELECT '1,2a'::cube AS cube; -- 7
-ERROR:  bad cube representation
-LINE 1: SELECT '1,2a'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '1..2'::cube AS cube; -- 7
-ERROR:  bad cube representation
-LINE 1: SELECT '1..2'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ".2"
---
--- Testing building cubes from float8 values
---
-SELECT cube(0::float8);
- cube 
-------
- (0)
-(1 row)
-
-SELECT cube(1::float8);
- cube 
-------
- (1)
-(1 row)
-
-SELECT cube(1,2);
-  cube   
----------
- (1),(2)
-(1 row)
-
-SELECT cube(cube(1,2),3);
-     cube      
----------------
- (1, 3),(2, 3)
-(1 row)
-
-SELECT cube(cube(1,2),3,4);
-     cube      
----------------
- (1, 3),(2, 4)
-(1 row)
-
-SELECT cube(cube(cube(1,2),3,4),5);
-        cube         
----------------------
- (1, 3, 5),(2, 4, 5)
-(1 row)
-
-SELECT cube(cube(cube(1,2),3,4),5,6);
-        cube         
----------------------
- (1, 3, 5),(2, 4, 6)
-(1 row)
-
---
--- Test that the text -> cube cast was installed.
---
-SELECT '(0)'::text::cube;
- cube 
-------
- (0)
-(1 row)
-
---
--- Test the float[] -> cube cast
---
-SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]);
-        cube         
----------------------
- (0, 1, 2),(3, 4, 5)
-(1 row)
-
-SELECT cube('{0,1,2}'::float[], '{3}'::float[]);
-ERROR:  UR and LL arrays must be of same length
-SELECT cube(NULL::float[], '{3}'::float[]);
- cube 
-------
- 
-(1 row)
-
-SELECT cube('{0,1,2}'::float[]);
-   cube    
------------
- (0, 1, 2)
-(1 row)
-
-SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]);
-        cube_subset        
----------------------------
- (5, 3, 1, 1),(8, 7, 6, 6)
-(1 row)
-
-SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]);
- cube_subset  
---------------
- (5, 3, 1, 1)
-(1 row)
-
-SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]);
-ERROR:  Index out of bounds
-SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]);
-ERROR:  Index out of bounds
---
--- Test point processing
---
-SELECT cube('(1,2),(1,2)'); -- cube_in
-  cube  
---------
- (1, 2)
-(1 row)
-
-SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8
-   cube    
------------
- (0, 1, 2)
-(1 row)
-
-SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8
-     cube     
---------------
- (5, 6, 7, 8)
-(1 row)
-
-SELECT cube(1.37); -- cube_f8
-  cube  
---------
- (1.37)
-(1 row)
-
-SELECT cube(1.37, 1.37); -- cube_f8_f8
-  cube  
---------
- (1.37)
-(1 row)
-
-SELECT cube(cube(1,1), 42); -- cube_c_f8
-  cube   
----------
- (1, 42)
-(1 row)
-
-SELECT cube(cube(1,2), 42); -- cube_c_f8
-      cube       
------------------
- (1, 42),(2, 42)
-(1 row)
-
-SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8
-  cube   
----------
- (1, 42)
-(1 row)
-
-SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8
-      cube       
------------------
- (1, 42),(1, 24)
-(1 row)
-
-SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8
-      cube       
------------------
- (1, 42),(2, 42)
-(1 row)
-
-SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
-      cube       
------------------
- (1, 42),(2, 24)
-(1 row)
-
---
--- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
---
-select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
-LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
-               ^
-DETAIL:  A cube cannot have more than 100 dimensions.
-select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
-LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
-               ^
-DETAIL:  A cube cannot have more than 100 dimensions.
---
--- testing the  operators
---
--- equality/inequality:
---
-SELECT '24, 33.20'::cube    =  '24, 33.20'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '24, 33.20'::cube    != '24, 33.20'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '24, 33.20'::cube    =  '24, 33.21'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '24, 33.20'::cube    != '24, 33.21'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube  =  '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube  =  '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
--- "lower than" / "greater than"
--- (these operators are not useful for anything but ordering)
---
-SELECT '1'::cube   > '2'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '1'::cube   < '2'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '1,1'::cube > '1,2'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '1,1'::cube < '1,2'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
--- "overlap"
---
-SELECT '1'::cube && '1'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '1'::cube && '2'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
--- "contained in" (the left operand is the cube entirely enclosed by
--- the right operand):
---
-SELECT '0'::cube                 <@ '0'::cube                        AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,0'::cube             <@ '0,0,0'::cube                    AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0'::cube               <@ '0,0,1'::cube                    AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,0'::cube             <@ '0,0,1'::cube                    AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '1,0,0'::cube             <@ '0,0,1'::cube                    AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube   <@ '(1,0,0),(0,0,1)'::cube          AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube   <@ '(-1,-1,-1),(1,1,1)'::cube       AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube   <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube  AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0'::cube                 <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '1'::cube                 <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '-1'::cube                <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube          <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube          <@ '(-1,-1),(1,1)'::cube            AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-2),(1)'::cube          <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(-2),(1)'::cube          <@ '(-1,-1),(1,1)'::cube            AS bool;
- bool 
-------
- f
-(1 row)
-
--- "contains" (the left operand is the cube that entirely encloses the
--- right operand)
---
-SELECT '0'::cube                        @> '0'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,0'::cube                    @> '0,0,0'::cube             AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,1'::cube                    @> '0,0'::cube               AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,1'::cube                    @> '0,0,0'::cube             AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '0,0,1'::cube                    @> '1,0,0'::cube             AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube          @> '(1,0,0),(0,0,1)'::cube   AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1,-1,-1),(1,1,1)'::cube       @> '(1,0,0),(0,0,1)'::cube   AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube  @> '(1,0,0),(0,0,1)'::cube   AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '0'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '1'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '-1'::cube                AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '(-1),(1)'::cube          AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1,-1),(1,1)'::cube            @> '(-1),(1)'::cube          AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '(-2),(1)'::cube          AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(-1,-1),(1,1)'::cube            @> '(-2),(1)'::cube          AS bool;
- bool 
-------
- f
-(1 row)
-
--- Test of distance function
---
-SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube);
- cube_distance 
----------------
-             4
-(1 row)
-
-SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube);
- cube_distance 
----------------
-           0.5
-(1 row)
-
-SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube);
- cube_distance 
----------------
-             0
-(1 row)
-
-SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube);
- cube_distance 
----------------
-           190
-(1 row)
-
-SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube);
-  cube_distance   
-------------------
- 140.762210837994
-(1 row)
-
--- Test of cube function (text to cube)
---
-SELECT cube('(1,1.2)'::text);
-   cube   
-----------
- (1, 1.2)
-(1 row)
-
-SELECT cube(NULL);
- cube 
-------
- 
-(1 row)
-
--- Test of cube_dim function (dimensions stored in cube)
---
-SELECT cube_dim('(0)'::cube);
- cube_dim 
-----------
-        1
-(1 row)
-
-SELECT cube_dim('(0,0)'::cube);
- cube_dim 
-----------
-        2
-(1 row)
-
-SELECT cube_dim('(0,0,0)'::cube);
- cube_dim 
-----------
-        3
-(1 row)
-
-SELECT cube_dim('(42,42,42),(42,42,42)'::cube);
- cube_dim 
-----------
-        3
-(1 row)
-
-SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube);
- cube_dim 
-----------
-        5
-(1 row)
-
--- Test of cube_ll_coord function (retrieves LL coodinate values)
---
-SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1);
- cube_ll_coord 
----------------
-            -1
-(1 row)
-
-SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2);
- cube_ll_coord 
----------------
-            -2
-(1 row)
-
-SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3);
- cube_ll_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1);
- cube_ll_coord 
----------------
-             1
-(1 row)
-
-SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2);
- cube_ll_coord 
----------------
-             2
-(1 row)
-
-SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3);
- cube_ll_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ll_coord('(42,137)'::cube, 1);
- cube_ll_coord 
----------------
-            42
-(1 row)
-
-SELECT cube_ll_coord('(42,137)'::cube, 2);
- cube_ll_coord 
----------------
-           137
-(1 row)
-
-SELECT cube_ll_coord('(42,137)'::cube, 3);
- cube_ll_coord 
----------------
-             0
-(1 row)
-
--- Test of cube_ur_coord function (retrieves UR coodinate values)
---
-SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1);
- cube_ur_coord 
----------------
-             2
-(1 row)
-
-SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2);
- cube_ur_coord 
----------------
-             1
-(1 row)
-
-SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3);
- cube_ur_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1);
- cube_ur_coord 
----------------
-             1
-(1 row)
-
-SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2);
- cube_ur_coord 
----------------
-             2
-(1 row)
-
-SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3);
- cube_ur_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ur_coord('(42,137)'::cube, 1);
- cube_ur_coord 
----------------
-            42
-(1 row)
-
-SELECT cube_ur_coord('(42,137)'::cube, 2);
- cube_ur_coord 
----------------
-           137
-(1 row)
-
-SELECT cube_ur_coord('(42,137)'::cube, 3);
- cube_ur_coord 
----------------
-             0
-(1 row)
-
--- Test of cube_is_point
---
-SELECT cube_is_point('(0)'::cube);
- cube_is_point 
----------------
- t
-(1 row)
-
-SELECT cube_is_point('(0,1,2)'::cube);
- cube_is_point 
----------------
- t
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(0,1,2)'::cube);
- cube_is_point 
----------------
- t
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube);
- cube_is_point 
----------------
- f
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube);
- cube_is_point 
----------------
- f
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube);
- cube_is_point 
----------------
- f
-(1 row)
-
--- Test of cube_enlarge (enlarging and shrinking cubes)
---
-SELECT cube_enlarge('(0)'::cube, 0, 0);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 0, 1);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 0, 2);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(2),(-2)'::cube, 0, 4);
- cube_enlarge 
---------------
- (-2),(2)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 1, 0);
- cube_enlarge 
---------------
- (-1),(1)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 1, 1);
- cube_enlarge 
---------------
- (-1),(1)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 1, 2);
-  cube_enlarge   
------------------
- (-1, -1),(1, 1)
-(1 row)
-
-SELECT cube_enlarge('(2),(-2)'::cube, 1, 4);
-         cube_enlarge          
--------------------------------
- (-3, -1, -1, -1),(3, 1, 1, 1)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, -1, 0);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, -1, 1);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, -1, 2);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(2),(-2)'::cube, -1, 4);
- cube_enlarge 
---------------
- (-1),(1)
-(1 row)
-
-SELECT cube_enlarge('(0,0,0)'::cube, 1, 0);
-      cube_enlarge      
-------------------------
- (-1, -1, -1),(1, 1, 1)
-(1 row)
-
-SELECT cube_enlarge('(0,0,0)'::cube, 1, 2);
-      cube_enlarge      
-------------------------
- (-1, -1, -1),(1, 1, 1)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2);
-  cube_enlarge   
------------------
- (-4, -3),(3, 8)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2);
-   cube_enlarge   
-------------------
- (-6, -5),(5, 10)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2);
-  cube_enlarge   
------------------
- (-2, -1),(1, 6)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2);
-    cube_enlarge     
----------------------
- (-0.5, 1),(-0.5, 4)
-(1 row)
-
-SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5);
- cube_enlarge 
---------------
- (42, 0, 0)
-(1 row)
-
-SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5);
- cube_enlarge 
---------------
- (42, 0, 0)
-(1 row)
-
--- Test of cube_union (MBR for two cubes)
---
-SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube);
-      cube_union      
-----------------------
- (1, 2, 0),(8, 9, 10)
-(1 row)
-
-SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube);
-        cube_union         
----------------------------
- (1, 2, 0, 0),(4, 2, 0, 0)
-(1 row)
-
-SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube);
-  cube_union   
----------------
- (1, 2),(4, 2)
-(1 row)
-
-SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube);
- cube_union 
-------------
- (1, 2)
-(1 row)
-
-SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube);
- cube_union 
-------------
- (1, 2, 0)
-(1 row)
-
--- Test of cube_inter
---
-SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects
-   cube_inter    
------------------
- (3, 4),(10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes
-  cube_inter   
----------------
- (3, 4),(6, 5)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection
-    cube_inter     
--------------------
- (13, 14),(10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects
-    cube_inter    
-------------------
- (3, 14),(10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection
- cube_inter 
-------------
- (10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args
- cube_inter 
-------------
- (1, 2, 3)
-(1 row)
-
-SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args
-     cube_inter      
----------------------
- (5, 6, 3),(1, 2, 3)
-(1 row)
-
--- Test of cube_size
---
-SELECT cube_size('(4,8),(15,16)'::cube);
- cube_size 
------------
-        88
-(1 row)
-
-SELECT cube_size('(42,137)'::cube);
- cube_size 
------------
-         0
-(1 row)
-
--- Test of distances
---
-SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube);
- cube_distance 
----------------
-             5
-(1 row)
-
-SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e;
- d_e 
------
-   5
-(1 row)
-
-SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube);
- distance_chebyshev 
---------------------
-                  4
-(1 row)
-
-SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c;
- d_c 
------
-   4
-(1 row)
-
-SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube);
- distance_taxicab 
-------------------
-                7
-(1 row)
-
-SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t;
- d_t 
------
-   7
-(1 row)
-
--- zero for overlapping
-SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
- cube_distance 
----------------
-             0
-(1 row)
-
-SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
- distance_chebyshev 
---------------------
-                  0
-(1 row)
-
-SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
- distance_taxicab 
-------------------
-                0
-(1 row)
-
--- coordinate access
-SELECT cube(array[10,20,30], array[40,50,60])->1;
- ?column? 
-----------
-       10
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])->1;
- ?column? 
-----------
-       40
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])->6;
- ?column? 
-----------
-       60
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])->0;
-ERROR:  cube index 0 is out of bounds
-SELECT cube(array[10,20,30], array[40,50,60])->7;
-ERROR:  cube index 7 is out of bounds
-SELECT cube(array[10,20,30], array[40,50,60])->-1;
-ERROR:  cube index -1 is out of bounds
-SELECT cube(array[10,20,30], array[40,50,60])->-6;
-ERROR:  cube index -6 is out of bounds
-SELECT cube(array[10,20,30])->3;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[10,20,30])->6;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[10,20,30])->-6;
-ERROR:  cube index -6 is out of bounds
--- "normalized" coordinate access
-SELECT cube(array[10,20,30], array[40,50,60])~>1;
- ?column? 
-----------
-       10
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>1;
- ?column? 
-----------
-       10
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])~>2;
- ?column? 
-----------
-       20
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>2;
- ?column? 
-----------
-       20
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])~>3;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>3;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>0;
-ERROR:  cube index 0 is out of bounds
-SELECT cube(array[40,50,60], array[10,20,30])~>4;
- ?column? 
-----------
-       40
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>(-1);
-ERROR:  cube index -1 is out of bounds
--- Load some example data and build the index
---
-CREATE TABLE test_cube (c cube);
-\copy test_cube from 'data/test_cube.data'
-CREATE INDEX test_cube_ix ON test_cube USING gist (c);
-SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' ORDER BY c;
-            c             
---------------------------
- (337, 455),(240, 359)
- (759, 187),(662, 163)
- (1444, 403),(1346, 344)
- (1594, 1043),(1517, 971)
- (2424, 160),(2424, 81)
-(5 rows)
-
--- Test sorting
-SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c;
-            c             
---------------------------
- (337, 455),(240, 359)
- (759, 187),(662, 163)
- (1444, 403),(1346, 344)
- (1594, 1043),(1517, 971)
- (2424, 160),(2424, 81)
-(5 rows)
-
--- kNN with index
-SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
-            c            |       dist       
--------------------------+------------------
- (337, 455),(240, 359)   |                0
- (759, 187),(662, 163)   |              162
- (948, 1201),(907, 1156) | 772.000647668122
- (1444, 403),(1346, 344) |              846
- (369, 1457),(278, 1409) |              909
-(5 rows)
-
-SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
-            c            | dist 
--------------------------+------
- (337, 455),(240, 359)   |    0
- (759, 187),(662, 163)   |  162
- (948, 1201),(907, 1156) |  656
- (1444, 403),(1346, 344) |  846
- (369, 1457),(278, 1409) |  909
-(5 rows)
-
-SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
-            c            | dist 
--------------------------+------
- (337, 455),(240, 359)   |    0
- (759, 187),(662, 163)   |  162
- (1444, 403),(1346, 344) |  846
- (369, 1457),(278, 1409) |  909
- (948, 1201),(907, 1156) | 1063
-(5 rows)
-
--- kNN-based sorting
-SELECT * FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by 1st coordinate of lower left corner
-             c             
----------------------------
- (54, 38679),(3, 38602)
- (83, 10271),(15, 10265)
- (122, 46832),(64, 46762)
- (167, 17214),(92, 17184)
- (161, 24465),(107, 24374)
- (162, 26040),(120, 25963)
- (154, 4019),(138, 3990)
- (259, 1850),(175, 1820)
- (207, 40886),(179, 40879)
- (288, 49588),(204, 49571)
- (270, 32616),(226, 32607)
- (318, 31489),(235, 31404)
- (337, 455),(240, 359)
- (270, 29508),(264, 29440)
- (369, 1457),(278, 1409)
-(15 rows)
-
-SELECT * FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by 2nd coordinate or upper right corner
-             c             
----------------------------
- (30333, 50),(30273, 6)
- (43301, 75),(43227, 43)
- (19650, 142),(19630, 51)
- (2424, 160),(2424, 81)
- (3449, 171),(3354, 108)
- (18037, 155),(17941, 109)
- (28511, 208),(28479, 114)
- (19946, 217),(19941, 118)
- (16906, 191),(16816, 139)
- (759, 187),(662, 163)
- (22684, 266),(22656, 181)
- (24423, 255),(24360, 213)
- (45989, 249),(45910, 222)
- (11399, 377),(11360, 294)
- (12162, 389),(12103, 309)
-(15 rows)
-
-SELECT * FROM test_cube ORDER BY c~>1 DESC LIMIT 15; -- descending by 1st coordinate of lower left corner
-               c               
--------------------------------
- (50027, 49230),(49951, 49214)
- (49980, 35004),(49937, 34963)
- (49985, 6436),(49927, 6338)
- (49999, 27218),(49908, 27176)
- (49954, 1340),(49905, 1294)
- (49944, 25163),(49902, 25153)
- (49981, 34876),(49898, 34786)
- (49957, 43390),(49897, 43384)
- (49853, 18504),(49848, 18503)
- (49902, 41752),(49818, 41746)
- (49907, 30225),(49810, 30158)
- (49843, 5175),(49808, 5145)
- (49887, 24274),(49805, 24184)
- (49847, 7128),(49798, 7067)
- (49820, 7990),(49771, 7967)
-(15 rows)
-
-SELECT * FROM test_cube ORDER BY c~>4 DESC LIMIT 15; -- descending by 2nd coordinate or upper right corner
-               c               
--------------------------------
- (36311, 50073),(36258, 49987)
- (30746, 50040),(30727, 49992)
- (2168, 50012),(2108, 49914)
- (21551, 49983),(21492, 49885)
- (17954, 49975),(17865, 49915)
- (3531, 49962),(3463, 49934)
- (19128, 49932),(19112, 49849)
- (31287, 49923),(31236, 49913)
- (43925, 49912),(43888, 49878)
- (29261, 49910),(29247, 49818)
- (14913, 49873),(14849, 49836)
- (20007, 49858),(19921, 49778)
- (38266, 49852),(38233, 49844)
- (37595, 49849),(37581, 49834)
- (46151, 49848),(46058, 49830)
-(15 rows)
-
--- same thing for index with points
-CREATE TABLE test_point(c cube);
-INSERT INTO test_point(SELECT cube(array[c->1,c->2,c->3,c->4]) FROM test_cube);
-CREATE INDEX ON test_point USING gist(c);
-SELECT * FROM test_point ORDER BY c~>1, c~>2 LIMIT 15; -- ascending by 1st then by 2nd coordinate
-            c             
---------------------------
- (54, 38679, 3, 38602)
- (83, 10271, 15, 10265)
- (122, 46832, 64, 46762)
- (154, 4019, 138, 3990)
- (161, 24465, 107, 24374)
- (162, 26040, 120, 25963)
- (167, 17214, 92, 17184)
- (207, 40886, 179, 40879)
- (259, 1850, 175, 1820)
- (270, 29508, 264, 29440)
- (270, 32616, 226, 32607)
- (288, 49588, 204, 49571)
- (318, 31489, 235, 31404)
- (326, 18837, 285, 18817)
- (337, 455, 240, 359)
-(15 rows)
-
-SELECT * FROM test_point ORDER BY c~>4 DESC LIMIT 15; -- descending by 1st coordinate
-              c               
-------------------------------
- (30746, 50040, 30727, 49992)
- (36311, 50073, 36258, 49987)
- (3531, 49962, 3463, 49934)
- (17954, 49975, 17865, 49915)
- (2168, 50012, 2108, 49914)
- (31287, 49923, 31236, 49913)
- (21551, 49983, 21492, 49885)
- (43925, 49912, 43888, 49878)
- (19128, 49932, 19112, 49849)
- (38266, 49852, 38233, 49844)
- (14913, 49873, 14849, 49836)
- (37595, 49849, 37581, 49834)
- (46151, 49848, 46058, 49830)
- (29261, 49910, 29247, 49818)
- (19233, 49824, 19185, 49794)
-(15 rows)
-
diff --git a/contrib/cube/expected/cube_2.out b/contrib/cube/expected/cube_2.out
index fef749c698..eaeae45fca 100644
--- a/contrib/cube/expected/cube_2.out
+++ b/contrib/cube/expected/cube_2.out
@@ -126,16 +126,34 @@ SELECT '-1.0e-7'::cube AS cube;
  (-1e-007)
 (1 row)
 
-SELECT '1e-700'::cube AS cube;
- cube 
-------
- (0)
+SELECT '1e-300'::cube AS cube;
+   cube   
+----------
+ (1e-300)
 (1 row)
 
-SELECT '-1e-700'::cube AS cube;
- cube 
-------
- (0)
+SELECT '-1e-300'::cube AS cube;
+   cube    
+-----------
+ (-1e-300)
+(1 row)
+
+SELECT 'infinity'::cube AS cube;
+    cube    
+------------
+ (Infinity)
+(1 row)
+
+SELECT '-infinity'::cube AS cube;
+    cube     
+-------------
+ (-Infinity)
+(1 row)
+
+SELECT 'NaN'::cube AS cube;
+ cube  
+-------
+ (NaN)
 (1 row)
 
 SELECT '1234567890123456'::cube AS cube;
@@ -175,6 +193,12 @@ SELECT '-.1234567890123456'::cube AS cube;
 (1 row)
 
 -- simple lists (points)
+SELECT '()'::cube AS cube;
+ cube 
+------
+ ()
+(1 row)
+
 SELECT '1,2'::cube AS cube;
   cube  
 --------
@@ -200,6 +224,12 @@ SELECT '(1,2,3,4,5)'::cube AS cube;
 (1 row)
 
 -- double lists (cubes)
+SELECT '(),()'::cube AS cube;
+ cube 
+------
+ ()
+(1 row)
+
 SELECT '(0),(0)'::cube AS cube;
  cube 
 ------
@@ -250,146 +280,145 @@ SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
 
 -- invalid input: parse errors
 SELECT ''::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT ''::cube AS cube;
                ^
 DETAIL:  syntax error at end of input
 SELECT 'ABC'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT 'ABC'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "A"
-SELECT '()'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '()'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
 SELECT '[]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "]"
 SELECT '[()]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[()]'::cube AS cube;
                ^
-DETAIL:  syntax error at or near ")"
+DETAIL:  syntax error at or near "]"
 SELECT '[(1)]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1)]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "]"
 SELECT '[(1),]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "]"
 SELECT '[(1),2]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),2]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "2"
 SELECT '[(1),(2),(3)]'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),(2),(3)]'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '1,'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,'::cube AS cube;
                ^
 DETAIL:  syntax error at end of input
 SELECT '1,2,'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,2,'::cube AS cube;
                ^
 DETAIL:  syntax error at end of input
 SELECT '1,,2'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,,2'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '(1,)'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,)'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ")"
 SELECT '(1,2,)'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,)'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ")"
 SELECT '(1,,2)'::cube AS cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,,2)'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 -- invalid input: semantic errors and trailing garbage
 SELECT '[(1),(2)],'::cube AS cube; -- 0
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1),(2)],'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1,2,3),(2,3)]'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2,3) and (2,3).
 SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '[(1,2),(1,2,3)]'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2) and (1,2,3).
 SELECT '(1),(2),'::cube AS cube; -- 2
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1),(2),'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ","
 SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,3),(2,3)'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2,3) and (2,3).
 SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2),(1,2,3)'::cube AS cube;
                ^
 DETAIL:  Different point dimensions in (1,2) and (1,2,3).
 SELECT '(1,2,3)ab'::cube AS cube; -- 4
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,3)ab'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '(1,2,3)a'::cube AS cube; -- 5
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2,3)a'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '(1,2)('::cube AS cube; -- 5
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '(1,2)('::cube AS cube;
                ^
 DETAIL:  syntax error at or near "("
 SELECT '1,2ab'::cube AS cube; -- 6
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,2ab'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '1 e7'::cube AS cube; -- 6
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1 e7'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "e"
 SELECT '1,2a'::cube AS cube; -- 7
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1,2a'::cube AS cube;
                ^
 DETAIL:  syntax error at or near "a"
 SELECT '1..2'::cube AS cube; -- 7
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: SELECT '1..2'::cube AS cube;
                ^
 DETAIL:  syntax error at or near ".2"
+SELECT '-1e-700'::cube AS cube; -- out of range
+ERROR:  "-1e-700" is out of range for type double precision
+LINE 1: SELECT '-1e-700'::cube AS cube;
+               ^
 --
 -- Testing building cubes from float8 values
 --
@@ -556,12 +585,12 @@ SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
 -- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
 --
 select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
                ^
 DETAIL:  A cube cannot have more than 100 dimensions.
 select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
+ERROR:  invalid input syntax for cube
 LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
                ^
 DETAIL:  A cube cannot have more than 100 dimensions.
diff --git a/contrib/cube/expected/cube_3.out b/contrib/cube/expected/cube_3.out
deleted file mode 100644
index 31d2d1a64e..0000000000
--- a/contrib/cube/expected/cube_3.out
+++ /dev/null
@@ -1,1710 +0,0 @@
---
---  Test cube datatype
---
-CREATE EXTENSION cube;
---
--- testing the input and output functions
---
--- Any number (a one-dimensional point)
-SELECT '1'::cube AS cube;
- cube 
-------
- (1)
-(1 row)
-
-SELECT '-1'::cube AS cube;
- cube 
-------
- (-1)
-(1 row)
-
-SELECT '1.'::cube AS cube;
- cube 
-------
- (1)
-(1 row)
-
-SELECT '-1.'::cube AS cube;
- cube 
-------
- (-1)
-(1 row)
-
-SELECT '.1'::cube AS cube;
- cube  
--------
- (0.1)
-(1 row)
-
-SELECT '-.1'::cube AS cube;
-  cube  
---------
- (-0.1)
-(1 row)
-
-SELECT '1.0'::cube AS cube;
- cube 
-------
- (1)
-(1 row)
-
-SELECT '-1.0'::cube AS cube;
- cube 
-------
- (-1)
-(1 row)
-
-SELECT '1e27'::cube AS cube;
-   cube   
-----------
- (1e+027)
-(1 row)
-
-SELECT '-1e27'::cube AS cube;
-   cube    
------------
- (-1e+027)
-(1 row)
-
-SELECT '1.0e27'::cube AS cube;
-   cube   
-----------
- (1e+027)
-(1 row)
-
-SELECT '-1.0e27'::cube AS cube;
-   cube    
------------
- (-1e+027)
-(1 row)
-
-SELECT '1e+27'::cube AS cube;
-   cube   
-----------
- (1e+027)
-(1 row)
-
-SELECT '-1e+27'::cube AS cube;
-   cube    
------------
- (-1e+027)
-(1 row)
-
-SELECT '1.0e+27'::cube AS cube;
-   cube   
-----------
- (1e+027)
-(1 row)
-
-SELECT '-1.0e+27'::cube AS cube;
-   cube    
------------
- (-1e+027)
-(1 row)
-
-SELECT '1e-7'::cube AS cube;
-   cube   
-----------
- (1e-007)
-(1 row)
-
-SELECT '-1e-7'::cube AS cube;
-   cube    
------------
- (-1e-007)
-(1 row)
-
-SELECT '1.0e-7'::cube AS cube;
-   cube   
-----------
- (1e-007)
-(1 row)
-
-SELECT '-1.0e-7'::cube AS cube;
-   cube    
------------
- (-1e-007)
-(1 row)
-
-SELECT '1e-700'::cube AS cube;
- cube 
-------
- (0)
-(1 row)
-
-SELECT '-1e-700'::cube AS cube;
- cube 
-------
- (-0)
-(1 row)
-
-SELECT '1234567890123456'::cube AS cube;
-          cube           
--------------------------
- (1.23456789012346e+015)
-(1 row)
-
-SELECT '+1234567890123456'::cube AS cube;
-          cube           
--------------------------
- (1.23456789012346e+015)
-(1 row)
-
-SELECT '-1234567890123456'::cube AS cube;
-           cube           
---------------------------
- (-1.23456789012346e+015)
-(1 row)
-
-SELECT '.1234567890123456'::cube AS cube;
-        cube         
----------------------
- (0.123456789012346)
-(1 row)
-
-SELECT '+.1234567890123456'::cube AS cube;
-        cube         
----------------------
- (0.123456789012346)
-(1 row)
-
-SELECT '-.1234567890123456'::cube AS cube;
-         cube         
-----------------------
- (-0.123456789012346)
-(1 row)
-
--- simple lists (points)
-SELECT '1,2'::cube AS cube;
-  cube  
---------
- (1, 2)
-(1 row)
-
-SELECT '(1,2)'::cube AS cube;
-  cube  
---------
- (1, 2)
-(1 row)
-
-SELECT '1,2,3,4,5'::cube AS cube;
-      cube       
------------------
- (1, 2, 3, 4, 5)
-(1 row)
-
-SELECT '(1,2,3,4,5)'::cube AS cube;
-      cube       
------------------
- (1, 2, 3, 4, 5)
-(1 row)
-
--- double lists (cubes)
-SELECT '(0),(0)'::cube AS cube;
- cube 
-------
- (0)
-(1 row)
-
-SELECT '(0),(1)'::cube AS cube;
-  cube   
----------
- (0),(1)
-(1 row)
-
-SELECT '[(0),(0)]'::cube AS cube;
- cube 
-------
- (0)
-(1 row)
-
-SELECT '[(0),(1)]'::cube AS cube;
-  cube   
----------
- (0),(1)
-(1 row)
-
-SELECT '(0,0,0,0),(0,0,0,0)'::cube AS cube;
-     cube     
---------------
- (0, 0, 0, 0)
-(1 row)
-
-SELECT '(0,0,0,0),(1,0,0,0)'::cube AS cube;
-           cube            
----------------------------
- (0, 0, 0, 0),(1, 0, 0, 0)
-(1 row)
-
-SELECT '[(0,0,0,0),(0,0,0,0)]'::cube AS cube;
-     cube     
---------------
- (0, 0, 0, 0)
-(1 row)
-
-SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
-           cube            
----------------------------
- (0, 0, 0, 0),(1, 0, 0, 0)
-(1 row)
-
--- invalid input: parse errors
-SELECT ''::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT ''::cube AS cube;
-               ^
-DETAIL:  syntax error at end of input
-SELECT 'ABC'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT 'ABC'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "A"
-SELECT '()'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '()'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '[]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "]"
-SELECT '[()]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[()]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '[(1)]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1)]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "]"
-SELECT '[(1),]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "]"
-SELECT '[(1),2]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),2]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "2"
-SELECT '[(1),(2),(3)]'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),(2),(3)]'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '1,'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '1,'::cube AS cube;
-               ^
-DETAIL:  syntax error at end of input
-SELECT '1,2,'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '1,2,'::cube AS cube;
-               ^
-DETAIL:  syntax error at end of input
-SELECT '1,,2'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '1,,2'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '(1,)'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,)'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '(1,2,)'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,)'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ")"
-SELECT '(1,,2)'::cube AS cube;
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,,2)'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
--- invalid input: semantic errors and trailing garbage
-SELECT '[(1),(2)],'::cube AS cube; -- 0
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1),(2)],'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '[(1,2,3),(2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1,2,3),(2,3)]'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2,3) and (2,3).
-SELECT '[(1,2),(1,2,3)]'::cube AS cube; -- 1
-ERROR:  bad cube representation
-LINE 1: SELECT '[(1,2),(1,2,3)]'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2) and (1,2,3).
-SELECT '(1),(2),'::cube AS cube; -- 2
-ERROR:  bad cube representation
-LINE 1: SELECT '(1),(2),'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ","
-SELECT '(1,2,3),(2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,3),(2,3)'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2,3) and (2,3).
-SELECT '(1,2),(1,2,3)'::cube AS cube; -- 3
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2),(1,2,3)'::cube AS cube;
-               ^
-DETAIL:  Different point dimensions in (1,2) and (1,2,3).
-SELECT '(1,2,3)ab'::cube AS cube; -- 4
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,3)ab'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '(1,2,3)a'::cube AS cube; -- 5
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2,3)a'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '(1,2)('::cube AS cube; -- 5
-ERROR:  bad cube representation
-LINE 1: SELECT '(1,2)('::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "("
-SELECT '1,2ab'::cube AS cube; -- 6
-ERROR:  bad cube representation
-LINE 1: SELECT '1,2ab'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '1 e7'::cube AS cube; -- 6
-ERROR:  bad cube representation
-LINE 1: SELECT '1 e7'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "e"
-SELECT '1,2a'::cube AS cube; -- 7
-ERROR:  bad cube representation
-LINE 1: SELECT '1,2a'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near "a"
-SELECT '1..2'::cube AS cube; -- 7
-ERROR:  bad cube representation
-LINE 1: SELECT '1..2'::cube AS cube;
-               ^
-DETAIL:  syntax error at or near ".2"
---
--- Testing building cubes from float8 values
---
-SELECT cube(0::float8);
- cube 
-------
- (0)
-(1 row)
-
-SELECT cube(1::float8);
- cube 
-------
- (1)
-(1 row)
-
-SELECT cube(1,2);
-  cube   
----------
- (1),(2)
-(1 row)
-
-SELECT cube(cube(1,2),3);
-     cube      
----------------
- (1, 3),(2, 3)
-(1 row)
-
-SELECT cube(cube(1,2),3,4);
-     cube      
----------------
- (1, 3),(2, 4)
-(1 row)
-
-SELECT cube(cube(cube(1,2),3,4),5);
-        cube         
----------------------
- (1, 3, 5),(2, 4, 5)
-(1 row)
-
-SELECT cube(cube(cube(1,2),3,4),5,6);
-        cube         
----------------------
- (1, 3, 5),(2, 4, 6)
-(1 row)
-
---
--- Test that the text -> cube cast was installed.
---
-SELECT '(0)'::text::cube;
- cube 
-------
- (0)
-(1 row)
-
---
--- Test the float[] -> cube cast
---
-SELECT cube('{0,1,2}'::float[], '{3,4,5}'::float[]);
-        cube         
----------------------
- (0, 1, 2),(3, 4, 5)
-(1 row)
-
-SELECT cube('{0,1,2}'::float[], '{3}'::float[]);
-ERROR:  UR and LL arrays must be of same length
-SELECT cube(NULL::float[], '{3}'::float[]);
- cube 
-------
- 
-(1 row)
-
-SELECT cube('{0,1,2}'::float[]);
-   cube    
------------
- (0, 1, 2)
-(1 row)
-
-SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[3,2,1,1]);
-        cube_subset        
----------------------------
- (5, 3, 1, 1),(8, 7, 6, 6)
-(1 row)
-
-SELECT cube_subset(cube('(1,3,5),(1,3,5)'), ARRAY[3,2,1,1]);
- cube_subset  
---------------
- (5, 3, 1, 1)
-(1 row)
-
-SELECT cube_subset(cube('(1,3,5),(6,7,8)'), ARRAY[4,0]);
-ERROR:  Index out of bounds
-SELECT cube_subset(cube('(6,7,8),(6,7,8)'), ARRAY[4,0]);
-ERROR:  Index out of bounds
---
--- Test point processing
---
-SELECT cube('(1,2),(1,2)'); -- cube_in
-  cube  
---------
- (1, 2)
-(1 row)
-
-SELECT cube('{0,1,2}'::float[], '{0,1,2}'::float[]); -- cube_a_f8_f8
-   cube    
------------
- (0, 1, 2)
-(1 row)
-
-SELECT cube('{5,6,7,8}'::float[]); -- cube_a_f8
-     cube     
---------------
- (5, 6, 7, 8)
-(1 row)
-
-SELECT cube(1.37); -- cube_f8
-  cube  
---------
- (1.37)
-(1 row)
-
-SELECT cube(1.37, 1.37); -- cube_f8_f8
-  cube  
---------
- (1.37)
-(1 row)
-
-SELECT cube(cube(1,1), 42); -- cube_c_f8
-  cube   
----------
- (1, 42)
-(1 row)
-
-SELECT cube(cube(1,2), 42); -- cube_c_f8
-      cube       
------------------
- (1, 42),(2, 42)
-(1 row)
-
-SELECT cube(cube(1,1), 42, 42); -- cube_c_f8_f8
-  cube   
----------
- (1, 42)
-(1 row)
-
-SELECT cube(cube(1,1), 42, 24); -- cube_c_f8_f8
-      cube       
------------------
- (1, 42),(1, 24)
-(1 row)
-
-SELECT cube(cube(1,2), 42, 42); -- cube_c_f8_f8
-      cube       
------------------
- (1, 42),(2, 42)
-(1 row)
-
-SELECT cube(cube(1,2), 42, 24); -- cube_c_f8_f8
-      cube       
------------------
- (1, 42),(2, 24)
-(1 row)
-
---
--- Testing limit of CUBE_MAX_DIM dimensions check in cube_in.
---
-select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
-LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
-               ^
-DETAIL:  A cube cannot have more than 100 dimensions.
-select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0),(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0)'::cube;
-ERROR:  bad cube representation
-LINE 1: select '(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0...
-               ^
-DETAIL:  A cube cannot have more than 100 dimensions.
---
--- testing the  operators
---
--- equality/inequality:
---
-SELECT '24, 33.20'::cube    =  '24, 33.20'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '24, 33.20'::cube    != '24, 33.20'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '24, 33.20'::cube    =  '24, 33.21'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '24, 33.20'::cube    != '24, 33.21'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube  =  '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube  =  '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
--- "lower than" / "greater than"
--- (these operators are not useful for anything but ordering)
---
-SELECT '1'::cube   > '2'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '1'::cube   < '2'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '1,1'::cube > '1,2'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '1,1'::cube < '1,2'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,0),(3,1,0,0,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,1),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             > '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0),(3,1)'::cube             < '(2,0,0,0,0),(3,1,0,0,0)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube > '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,1)'::cube < '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,1),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube > '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(2,0,0,0,0),(3,1,0,0,0)'::cube < '(2,0),(3,1)'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
--- "overlap"
---
-SELECT '1'::cube && '1'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '1'::cube && '2'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '0'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '1,1,1'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1,1),(2,2,2)]'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(1,1),(2,2)]'::cube AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '[(-1,-1,-1),(1,1,1)]'::cube && '[(2,1,1),(2,2,2)]'::cube AS bool;
- bool 
-------
- f
-(1 row)
-
--- "contained in" (the left operand is the cube entirely enclosed by
--- the right operand):
---
-SELECT '0'::cube                 <@ '0'::cube                        AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,0'::cube             <@ '0,0,0'::cube                    AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0'::cube               <@ '0,0,1'::cube                    AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,0'::cube             <@ '0,0,1'::cube                    AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '1,0,0'::cube             <@ '0,0,1'::cube                    AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube   <@ '(1,0,0),(0,0,1)'::cube          AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube   <@ '(-1,-1,-1),(1,1,1)'::cube       AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube   <@ '(-1,-1,-1,-1),(1,1,1,1)'::cube  AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0'::cube                 <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '1'::cube                 <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '-1'::cube                <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube          <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube          <@ '(-1,-1),(1,1)'::cube            AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-2),(1)'::cube          <@ '(-1),(1)'::cube                 AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(-2),(1)'::cube          <@ '(-1,-1),(1,1)'::cube            AS bool;
- bool 
-------
- f
-(1 row)
-
--- "contains" (the left operand is the cube that entirely encloses the
--- right operand)
---
-SELECT '0'::cube                        @> '0'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,0'::cube                    @> '0,0,0'::cube             AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,1'::cube                    @> '0,0'::cube               AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '0,0,1'::cube                    @> '0,0,0'::cube             AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '0,0,1'::cube                    @> '1,0,0'::cube             AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(1,0,0),(0,0,1)'::cube          @> '(1,0,0),(0,0,1)'::cube   AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1,-1,-1),(1,1,1)'::cube       @> '(1,0,0),(0,0,1)'::cube   AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1,-1,-1,-1),(1,1,1,1)'::cube  @> '(1,0,0),(0,0,1)'::cube   AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '0'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '1'::cube                 AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '-1'::cube                AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '(-1),(1)'::cube          AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1,-1),(1,1)'::cube            @> '(-1),(1)'::cube          AS bool;
- bool 
-------
- t
-(1 row)
-
-SELECT '(-1),(1)'::cube                 @> '(-2),(1)'::cube          AS bool;
- bool 
-------
- f
-(1 row)
-
-SELECT '(-1,-1),(1,1)'::cube            @> '(-2),(1)'::cube          AS bool;
- bool 
-------
- f
-(1 row)
-
--- Test of distance function
---
-SELECT cube_distance('(0)'::cube,'(2,2,2,2)'::cube);
- cube_distance 
----------------
-             4
-(1 row)
-
-SELECT cube_distance('(0)'::cube,'(.3,.4)'::cube);
- cube_distance 
----------------
-           0.5
-(1 row)
-
-SELECT cube_distance('(2,3,4)'::cube,'(2,3,4)'::cube);
- cube_distance 
----------------
-             0
-(1 row)
-
-SELECT cube_distance('(42,42,42,42)'::cube,'(137,137,137,137)'::cube);
- cube_distance 
----------------
-           190
-(1 row)
-
-SELECT cube_distance('(42,42,42)'::cube,'(137,137)'::cube);
-  cube_distance   
-------------------
- 140.762210837994
-(1 row)
-
--- Test of cube function (text to cube)
---
-SELECT cube('(1,1.2)'::text);
-   cube   
-----------
- (1, 1.2)
-(1 row)
-
-SELECT cube(NULL);
- cube 
-------
- 
-(1 row)
-
--- Test of cube_dim function (dimensions stored in cube)
---
-SELECT cube_dim('(0)'::cube);
- cube_dim 
-----------
-        1
-(1 row)
-
-SELECT cube_dim('(0,0)'::cube);
- cube_dim 
-----------
-        2
-(1 row)
-
-SELECT cube_dim('(0,0,0)'::cube);
- cube_dim 
-----------
-        3
-(1 row)
-
-SELECT cube_dim('(42,42,42),(42,42,42)'::cube);
- cube_dim 
-----------
-        3
-(1 row)
-
-SELECT cube_dim('(4,8,15,16,23),(4,8,15,16,23)'::cube);
- cube_dim 
-----------
-        5
-(1 row)
-
--- Test of cube_ll_coord function (retrieves LL coodinate values)
---
-SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 1);
- cube_ll_coord 
----------------
-            -1
-(1 row)
-
-SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 2);
- cube_ll_coord 
----------------
-            -2
-(1 row)
-
-SELECT cube_ll_coord('(-1,1),(2,-2)'::cube, 3);
- cube_ll_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ll_coord('(1,2),(1,2)'::cube, 1);
- cube_ll_coord 
----------------
-             1
-(1 row)
-
-SELECT cube_ll_coord('(1,2),(1,2)'::cube, 2);
- cube_ll_coord 
----------------
-             2
-(1 row)
-
-SELECT cube_ll_coord('(1,2),(1,2)'::cube, 3);
- cube_ll_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ll_coord('(42,137)'::cube, 1);
- cube_ll_coord 
----------------
-            42
-(1 row)
-
-SELECT cube_ll_coord('(42,137)'::cube, 2);
- cube_ll_coord 
----------------
-           137
-(1 row)
-
-SELECT cube_ll_coord('(42,137)'::cube, 3);
- cube_ll_coord 
----------------
-             0
-(1 row)
-
--- Test of cube_ur_coord function (retrieves UR coodinate values)
---
-SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 1);
- cube_ur_coord 
----------------
-             2
-(1 row)
-
-SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 2);
- cube_ur_coord 
----------------
-             1
-(1 row)
-
-SELECT cube_ur_coord('(-1,1),(2,-2)'::cube, 3);
- cube_ur_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ur_coord('(1,2),(1,2)'::cube, 1);
- cube_ur_coord 
----------------
-             1
-(1 row)
-
-SELECT cube_ur_coord('(1,2),(1,2)'::cube, 2);
- cube_ur_coord 
----------------
-             2
-(1 row)
-
-SELECT cube_ur_coord('(1,2),(1,2)'::cube, 3);
- cube_ur_coord 
----------------
-             0
-(1 row)
-
-SELECT cube_ur_coord('(42,137)'::cube, 1);
- cube_ur_coord 
----------------
-            42
-(1 row)
-
-SELECT cube_ur_coord('(42,137)'::cube, 2);
- cube_ur_coord 
----------------
-           137
-(1 row)
-
-SELECT cube_ur_coord('(42,137)'::cube, 3);
- cube_ur_coord 
----------------
-             0
-(1 row)
-
--- Test of cube_is_point
---
-SELECT cube_is_point('(0)'::cube);
- cube_is_point 
----------------
- t
-(1 row)
-
-SELECT cube_is_point('(0,1,2)'::cube);
- cube_is_point 
----------------
- t
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(0,1,2)'::cube);
- cube_is_point 
----------------
- t
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(-1,1,2)'::cube);
- cube_is_point 
----------------
- f
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(0,-1,2)'::cube);
- cube_is_point 
----------------
- f
-(1 row)
-
-SELECT cube_is_point('(0,1,2),(0,1,-2)'::cube);
- cube_is_point 
----------------
- f
-(1 row)
-
--- Test of cube_enlarge (enlarging and shrinking cubes)
---
-SELECT cube_enlarge('(0)'::cube, 0, 0);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 0, 1);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 0, 2);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(2),(-2)'::cube, 0, 4);
- cube_enlarge 
---------------
- (-2),(2)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 1, 0);
- cube_enlarge 
---------------
- (-1),(1)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 1, 1);
- cube_enlarge 
---------------
- (-1),(1)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, 1, 2);
-  cube_enlarge   
------------------
- (-1, -1),(1, 1)
-(1 row)
-
-SELECT cube_enlarge('(2),(-2)'::cube, 1, 4);
-         cube_enlarge          
--------------------------------
- (-3, -1, -1, -1),(3, 1, 1, 1)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, -1, 0);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, -1, 1);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(0)'::cube, -1, 2);
- cube_enlarge 
---------------
- (0)
-(1 row)
-
-SELECT cube_enlarge('(2),(-2)'::cube, -1, 4);
- cube_enlarge 
---------------
- (-1),(1)
-(1 row)
-
-SELECT cube_enlarge('(0,0,0)'::cube, 1, 0);
-      cube_enlarge      
-------------------------
- (-1, -1, -1),(1, 1, 1)
-(1 row)
-
-SELECT cube_enlarge('(0,0,0)'::cube, 1, 2);
-      cube_enlarge      
-------------------------
- (-1, -1, -1),(1, 1, 1)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 1, 2);
-  cube_enlarge   
------------------
- (-4, -3),(3, 8)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, 3, 2);
-   cube_enlarge   
-------------------
- (-6, -5),(5, 10)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -1, 2);
-  cube_enlarge   
------------------
- (-2, -1),(1, 6)
-(1 row)
-
-SELECT cube_enlarge('(2,-2),(-3,7)'::cube, -3, 2);
-    cube_enlarge     
----------------------
- (-0.5, 1),(-0.5, 4)
-(1 row)
-
-SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -23, 5);
- cube_enlarge 
---------------
- (42, 0, 0)
-(1 row)
-
-SELECT cube_enlarge('(42,-23,-23),(42,23,23)'::cube, -24, 5);
- cube_enlarge 
---------------
- (42, 0, 0)
-(1 row)
-
--- Test of cube_union (MBR for two cubes)
---
-SELECT cube_union('(1,2),(3,4)'::cube, '(5,6,7),(8,9,10)'::cube);
-      cube_union      
-----------------------
- (1, 2, 0),(8, 9, 10)
-(1 row)
-
-SELECT cube_union('(1,2)'::cube, '(4,2,0,0)'::cube);
-        cube_union         
----------------------------
- (1, 2, 0, 0),(4, 2, 0, 0)
-(1 row)
-
-SELECT cube_union('(1,2),(1,2)'::cube, '(4,2),(4,2)'::cube);
-  cube_union   
----------------
- (1, 2),(4, 2)
-(1 row)
-
-SELECT cube_union('(1,2),(1,2)'::cube, '(1,2),(1,2)'::cube);
- cube_union 
-------------
- (1, 2)
-(1 row)
-
-SELECT cube_union('(1,2),(1,2)'::cube, '(1,2,0),(1,2,0)'::cube);
- cube_union 
-------------
- (1, 2, 0)
-(1 row)
-
--- Test of cube_inter
---
-SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (16,15)'::cube); -- intersects
-   cube_inter    
------------------
- (3, 4),(10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(3,4), (6,5)'::cube); -- includes
-  cube_inter   
----------------
- (3, 4),(6, 5)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(13,14), (16,15)'::cube); -- no intersection
-    cube_inter     
--------------------
- (13, 14),(10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(3,14), (16,15)'::cube); -- no intersection, but one dimension intersects
-    cube_inter    
-------------------
- (3, 14),(10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2),(10,11)'::cube, '(10,11), (16,15)'::cube); -- point intersection
- cube_inter 
-------------
- (10, 11)
-(1 row)
-
-SELECT cube_inter('(1,2,3)'::cube, '(1,2,3)'::cube); -- point args
- cube_inter 
-------------
- (1, 2, 3)
-(1 row)
-
-SELECT cube_inter('(1,2,3)'::cube, '(5,6,3)'::cube); -- point args
-     cube_inter      
----------------------
- (5, 6, 3),(1, 2, 3)
-(1 row)
-
--- Test of cube_size
---
-SELECT cube_size('(4,8),(15,16)'::cube);
- cube_size 
------------
-        88
-(1 row)
-
-SELECT cube_size('(42,137)'::cube);
- cube_size 
------------
-         0
-(1 row)
-
--- Test of distances
---
-SELECT cube_distance('(1,1)'::cube, '(4,5)'::cube);
- cube_distance 
----------------
-             5
-(1 row)
-
-SELECT '(1,1)'::cube <-> '(4,5)'::cube as d_e;
- d_e 
------
-   5
-(1 row)
-
-SELECT distance_chebyshev('(1,1)'::cube, '(4,5)'::cube);
- distance_chebyshev 
---------------------
-                  4
-(1 row)
-
-SELECT '(1,1)'::cube <=> '(4,5)'::cube as d_c;
- d_c 
------
-   4
-(1 row)
-
-SELECT distance_taxicab('(1,1)'::cube, '(4,5)'::cube);
- distance_taxicab 
-------------------
-                7
-(1 row)
-
-SELECT '(1,1)'::cube <#> '(4,5)'::cube as d_t;
- d_t 
------
-   7
-(1 row)
-
--- zero for overlapping
-SELECT cube_distance('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
- cube_distance 
----------------
-             0
-(1 row)
-
-SELECT distance_chebyshev('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
- distance_chebyshev 
---------------------
-                  0
-(1 row)
-
-SELECT distance_taxicab('(2,2),(10,10)'::cube, '(0,0),(5,5)'::cube);
- distance_taxicab 
-------------------
-                0
-(1 row)
-
--- coordinate access
-SELECT cube(array[10,20,30], array[40,50,60])->1;
- ?column? 
-----------
-       10
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])->1;
- ?column? 
-----------
-       40
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])->6;
- ?column? 
-----------
-       60
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])->0;
-ERROR:  cube index 0 is out of bounds
-SELECT cube(array[10,20,30], array[40,50,60])->7;
-ERROR:  cube index 7 is out of bounds
-SELECT cube(array[10,20,30], array[40,50,60])->-1;
-ERROR:  cube index -1 is out of bounds
-SELECT cube(array[10,20,30], array[40,50,60])->-6;
-ERROR:  cube index -6 is out of bounds
-SELECT cube(array[10,20,30])->3;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[10,20,30])->6;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[10,20,30])->-6;
-ERROR:  cube index -6 is out of bounds
--- "normalized" coordinate access
-SELECT cube(array[10,20,30], array[40,50,60])~>1;
- ?column? 
-----------
-       10
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>1;
- ?column? 
-----------
-       10
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])~>2;
- ?column? 
-----------
-       20
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>2;
- ?column? 
-----------
-       20
-(1 row)
-
-SELECT cube(array[10,20,30], array[40,50,60])~>3;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>3;
- ?column? 
-----------
-       30
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>0;
-ERROR:  cube index 0 is out of bounds
-SELECT cube(array[40,50,60], array[10,20,30])~>4;
- ?column? 
-----------
-       40
-(1 row)
-
-SELECT cube(array[40,50,60], array[10,20,30])~>(-1);
-ERROR:  cube index -1 is out of bounds
--- Load some example data and build the index
---
-CREATE TABLE test_cube (c cube);
-\copy test_cube from 'data/test_cube.data'
-CREATE INDEX test_cube_ix ON test_cube USING gist (c);
-SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' ORDER BY c;
-            c             
---------------------------
- (337, 455),(240, 359)
- (759, 187),(662, 163)
- (1444, 403),(1346, 344)
- (1594, 1043),(1517, 971)
- (2424, 160),(2424, 81)
-(5 rows)
-
--- Test sorting
-SELECT * FROM test_cube WHERE c && '(3000,1000),(0,0)' GROUP BY c ORDER BY c;
-            c             
---------------------------
- (337, 455),(240, 359)
- (759, 187),(662, 163)
- (1444, 403),(1346, 344)
- (1594, 1043),(1517, 971)
- (2424, 160),(2424, 81)
-(5 rows)
-
--- kNN with index
-SELECT *, c <-> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <-> '(100, 100),(500, 500)'::cube LIMIT 5;
-            c            |       dist       
--------------------------+------------------
- (337, 455),(240, 359)   |                0
- (759, 187),(662, 163)   |              162
- (948, 1201),(907, 1156) | 772.000647668122
- (1444, 403),(1346, 344) |              846
- (369, 1457),(278, 1409) |              909
-(5 rows)
-
-SELECT *, c <=> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <=> '(100, 100),(500, 500)'::cube LIMIT 5;
-            c            | dist 
--------------------------+------
- (337, 455),(240, 359)   |    0
- (759, 187),(662, 163)   |  162
- (948, 1201),(907, 1156) |  656
- (1444, 403),(1346, 344) |  846
- (369, 1457),(278, 1409) |  909
-(5 rows)
-
-SELECT *, c <#> '(100, 100),(500, 500)'::cube as dist FROM test_cube ORDER BY c <#> '(100, 100),(500, 500)'::cube LIMIT 5;
-            c            | dist 
--------------------------+------
- (337, 455),(240, 359)   |    0
- (759, 187),(662, 163)   |  162
- (1444, 403),(1346, 344) |  846
- (369, 1457),(278, 1409) |  909
- (948, 1201),(907, 1156) | 1063
-(5 rows)
-
--- kNN-based sorting
-SELECT * FROM test_cube ORDER BY c~>1 LIMIT 15; -- ascending by 1st coordinate of lower left corner
-             c             
----------------------------
- (54, 38679),(3, 38602)
- (83, 10271),(15, 10265)
- (122, 46832),(64, 46762)
- (167, 17214),(92, 17184)
- (161, 24465),(107, 24374)
- (162, 26040),(120, 25963)
- (154, 4019),(138, 3990)
- (259, 1850),(175, 1820)
- (207, 40886),(179, 40879)
- (288, 49588),(204, 49571)
- (270, 32616),(226, 32607)
- (318, 31489),(235, 31404)
- (337, 455),(240, 359)
- (270, 29508),(264, 29440)
- (369, 1457),(278, 1409)
-(15 rows)
-
-SELECT * FROM test_cube ORDER BY c~>4 LIMIT 15; -- ascending by 2nd coordinate or upper right corner
-             c             
----------------------------
- (30333, 50),(30273, 6)
- (43301, 75),(43227, 43)
- (19650, 142),(19630, 51)
- (2424, 160),(2424, 81)
- (3449, 171),(3354, 108)
- (18037, 155),(17941, 109)
- (28511, 208),(28479, 114)
- (19946, 217),(19941, 118)
- (16906, 191),(16816, 139)
- (759, 187),(662, 163)
- (22684, 266),(22656, 181)
- (24423, 255),(24360, 213)
- (45989, 249),(45910, 222)
- (11399, 377),(11360, 294)
- (12162, 389),(12103, 309)
-(15 rows)
-
-SELECT * FROM test_cube ORDER BY c~>1 DESC LIMIT 15; -- descending by 1st coordinate of lower left corner
-               c               
--------------------------------
- (50027, 49230),(49951, 49214)
- (49980, 35004),(49937, 34963)
- (49985, 6436),(49927, 6338)
- (49999, 27218),(49908, 27176)
- (49954, 1340),(49905, 1294)
- (49944, 25163),(49902, 25153)
- (49981, 34876),(49898, 34786)
- (49957, 43390),(49897, 43384)
- (49853, 18504),(49848, 18503)
- (49902, 41752),(49818, 41746)
- (49907, 30225),(49810, 30158)
- (49843, 5175),(49808, 5145)
- (49887, 24274),(49805, 24184)
- (49847, 7128),(49798, 7067)
- (49820, 7990),(49771, 7967)
-(15 rows)
-
-SELECT * FROM test_cube ORDER BY c~>4 DESC LIMIT 15; -- descending by 2nd coordinate or upper right corner
-               c               
--------------------------------
- (36311, 50073),(36258, 49987)
- (30746, 50040),(30727, 49992)
- (2168, 50012),(2108, 49914)
- (21551, 49983),(21492, 49885)
- (17954, 49975),(17865, 49915)
- (3531, 49962),(3463, 49934)
- (19128, 49932),(19112, 49849)
- (31287, 49923),(31236, 49913)
- (43925, 49912),(43888, 49878)
- (29261, 49910),(29247, 49818)
- (14913, 49873),(14849, 49836)
- (20007, 49858),(19921, 49778)
- (38266, 49852),(38233, 49844)
- (37595, 49849),(37581, 49834)
- (46151, 49848),(46058, 49830)
-(15 rows)
-
--- same thing for index with points
-CREATE TABLE test_point(c cube);
-INSERT INTO test_point(SELECT cube(array[c->1,c->2,c->3,c->4]) FROM test_cube);
-CREATE INDEX ON test_point USING gist(c);
-SELECT * FROM test_point ORDER BY c~>1, c~>2 LIMIT 15; -- ascending by 1st then by 2nd coordinate
-            c             
---------------------------
- (54, 38679, 3, 38602)
- (83, 10271, 15, 10265)
- (122, 46832, 64, 46762)
- (154, 4019, 138, 3990)
- (161, 24465, 107, 24374)
- (162, 26040, 120, 25963)
- (167, 17214, 92, 17184)
- (207, 40886, 179, 40879)
- (259, 1850, 175, 1820)
- (270, 29508, 264, 29440)
- (270, 32616, 226, 32607)
- (288, 49588, 204, 49571)
- (318, 31489, 235, 31404)
- (326, 18837, 285, 18817)
- (337, 455, 240, 359)
-(15 rows)
-
-SELECT * FROM test_point ORDER BY c~>4 DESC LIMIT 15; -- descending by 1st coordinate
-              c               
-------------------------------
- (30746, 50040, 30727, 49992)
- (36311, 50073, 36258, 49987)
- (3531, 49962, 3463, 49934)
- (17954, 49975, 17865, 49915)
- (2168, 50012, 2108, 49914)
- (31287, 49923, 31236, 49913)
- (21551, 49983, 21492, 49885)
- (43925, 49912, 43888, 49878)
- (19128, 49932, 19112, 49849)
- (38266, 49852, 38233, 49844)
- (14913, 49873, 14849, 49836)
- (37595, 49849, 37581, 49834)
- (46151, 49848, 46058, 49830)
- (29261, 49910, 29247, 49818)
- (19233, 49824, 19185, 49794)
-(15 rows)
-
diff --git a/contrib/cube/sql/cube.sql b/contrib/cube/sql/cube.sql
index e225fb7da1..cc5a1ce458 100644
--- a/contrib/cube/sql/cube.sql
+++ b/contrib/cube/sql/cube.sql
@@ -29,8 +29,11 @@ SELECT '1e-7'::cube AS cube;
 SELECT '-1e-7'::cube AS cube;
 SELECT '1.0e-7'::cube AS cube;
 SELECT '-1.0e-7'::cube AS cube;
-SELECT '1e-700'::cube AS cube;
-SELECT '-1e-700'::cube AS cube;
+SELECT '1e-300'::cube AS cube;
+SELECT '-1e-300'::cube AS cube;
+SELECT 'infinity'::cube AS cube;
+SELECT '-infinity'::cube AS cube;
+SELECT 'NaN'::cube AS cube;
 SELECT '1234567890123456'::cube AS cube;
 SELECT '+1234567890123456'::cube AS cube;
 SELECT '-1234567890123456'::cube AS cube;
@@ -39,12 +42,14 @@ SELECT '+.1234567890123456'::cube AS cube;
 SELECT '-.1234567890123456'::cube AS cube;
 
 -- simple lists (points)
+SELECT '()'::cube AS cube;
 SELECT '1,2'::cube AS cube;
 SELECT '(1,2)'::cube AS cube;
 SELECT '1,2,3,4,5'::cube AS cube;
 SELECT '(1,2,3,4,5)'::cube AS cube;
 
 -- double lists (cubes)
+SELECT '(),()'::cube AS cube;
 SELECT '(0),(0)'::cube AS cube;
 SELECT '(0),(1)'::cube AS cube;
 SELECT '[(0),(0)]'::cube AS cube;
@@ -57,7 +62,6 @@ SELECT '[(0,0,0,0),(1,0,0,0)]'::cube AS cube;
 -- invalid input: parse errors
 SELECT ''::cube AS cube;
 SELECT 'ABC'::cube AS cube;
-SELECT '()'::cube AS cube;
 SELECT '[]'::cube AS cube;
 SELECT '[()]'::cube AS cube;
 SELECT '[(1)]'::cube AS cube;
@@ -85,6 +89,7 @@ SELECT '1,2ab'::cube AS cube; -- 6
 SELECT '1 e7'::cube AS cube; -- 6
 SELECT '1,2a'::cube AS cube; -- 7
 SELECT '1..2'::cube AS cube; -- 7
+SELECT '-1e-700'::cube AS cube; -- out of range
 
 --
 -- Testing building cubes from float8 values
-- 
2.40.0