Fix edge-case crashes and misestimation in range containment selectivity.

When estimating the selectivity of "range_var <@ range_constant" or
"range_var @> range_constant", if the upper (or respectively lower)
bound of the range_constant was above the last bin of the range_var's
histogram, the code would access uninitialized memory and potentially
crash (though it seems the probability of a crash is quite low).
Handle the endpoint cases explicitly to fix that.

While at it, be more paranoid about the possibility of getting NaN
or other silly results from the range type's subdiff function.
And improve some comments.

Ordinarily we'd probably add a regression test case demonstrating
the bug in unpatched code.  But it's too hard to get it to crash
reliably because of the uninitialized-memory dependence, so skip that.

Per bug #16122 from Adam Scott.  It's been broken from the beginning,
apparently, so backpatch to all supported branches.

Diagnosis by Michael Paquier, patch by Andrey Borodin and Tom Lane.

Discussion: https://postgr.es/m/16122-eb35bc248c806c15@postgresql.org

Author: tglsfdc

src/backend/utils/adt/rangetypes_selfuncs.c

@@ -40,8 +40,8 @@ static double calc_hist_selectivity_scalar(TypeCacheEntry *typcache,
 										   const RangeBound *constbound,
 										   const RangeBound *hist, int hist_nvalues,
 										   bool equal);
-static int rbound_bsearch(TypeCacheEntry *typcache, const RangeBound *value,
-						  const RangeBound *hist, int hist_length, bool equal);
+static int	rbound_bsearch(TypeCacheEntry *typcache, const RangeBound *value,
+						   const RangeBound *hist, int hist_length, bool equal);
 static float8 get_position(TypeCacheEntry *typcache, const RangeBound *value,
 						   const RangeBound *hist1, const RangeBound *hist2);
 static float8 get_len_position(double value, double hist1, double hist2);
@@ -400,6 +400,13 @@ calc_hist_selectivity(TypeCacheEntry *typcache, VariableStatData *vardata,
 						   ATTSTATSSLOT_VALUES)))
 		return -1.0;
 
+	/* check that it's a histogram, not just a dummy entry */
+	if (hslot.nvalues < 2)
+	{
+		free_attstatsslot(&hslot);
+		return -1.0;
+	}
+
 	/*
 	 * Convert histogram of ranges into histograms of its lower and upper
 	 * bounds.
@@ -686,7 +693,8 @@ get_position(TypeCacheEntry *typcache, const RangeBound *value, const RangeBound
 		/*
 		 * Both bounds are finite. Assuming the subtype's comparison function
 		 * works sanely, the value must be finite, too, because it lies
-		 * somewhere between the bounds. If it doesn't, just return something.
+		 * somewhere between the bounds.  If it doesn't, arbitrarily return
+		 * 0.5.
 		 */
 		if (value->infinite)
 			return 0.5;
@@ -696,21 +704,22 @@ get_position(TypeCacheEntry *typcache, const RangeBound *value, const RangeBound
 			return 0.5;
 
 		/* Calculate relative position using subdiff function. */
-		bin_width = DatumGetFloat8(FunctionCall2Coll(
-													 &typcache->rng_subdiff_finfo,
+		bin_width = DatumGetFloat8(FunctionCall2Coll(&typcache->rng_subdiff_finfo,
 													 typcache->rng_collation,
 													 hist2->val,
 													 hist1->val));
-		if (bin_width <= 0.0)
-			return 0.5;			/* zero width bin */
+		if (isnan(bin_width) || bin_width <= 0.0)
+			return 0.5;			/* punt for NaN or zero-width bin */
 
-		position = DatumGetFloat8(FunctionCall2Coll(
-													&typcache->rng_subdiff_finfo,
+		position = DatumGetFloat8(FunctionCall2Coll(&typcache->rng_subdiff_finfo,
 													typcache->rng_collation,
 													value->val,
 													hist1->val))
 			/ bin_width;
 
+		if (isnan(position))
+			return 0.5;			/* punt for NaN from subdiff, Inf/Inf, etc */
+
 		/* Relative position must be in [0,1] range */
 		position = Max(position, 0.0);
 		position = Min(position, 1.0);
@@ -802,15 +811,23 @@ get_distance(TypeCacheEntry *typcache, const RangeBound *bound1, const RangeBoun
 	if (!bound1->infinite && !bound2->infinite)
 	{
 		/*
-		 * No bounds are infinite, use subdiff function or return default
+		 * Neither bound is infinite, use subdiff function or return default
 		 * value of 1.0 if no subdiff is available.
 		 */
 		if (has_subdiff)
-			return
-				DatumGetFloat8(FunctionCall2Coll(&typcache->rng_subdiff_finfo,
-												 typcache->rng_collation,
-												 bound2->val,
-												 bound1->val));
+		{
+			float8		res;
+
+			res = DatumGetFloat8(FunctionCall2Coll(&typcache->rng_subdiff_finfo,
+												   typcache->rng_collation,
+												   bound2->val,
+												   bound1->val));
+			/* Reject possible NaN result, also negative result */
+			if (isnan(res) || res < 0.0)
+				return 1.0;
+			else
+				return res;
+		}
 		else
 			return 1.0;
 	}
@@ -824,7 +841,7 @@ get_distance(TypeCacheEntry *typcache, const RangeBound *bound1, const RangeBoun
 	}
 	else
 	{
-		/* One bound is infinite, another is not */
+		/* One bound is infinite, the other is not */
 		return get_float8_infinity();
 	}
 }
@@ -1020,17 +1037,31 @@ calc_hist_selectivity_contained(TypeCacheEntry *typcache,
 	upper_index = rbound_bsearch(typcache, upper, hist_lower, hist_nvalues,
 								 false);
 
+	/*
+	 * If the upper bound value is below the histogram's lower limit, there
+	 * are no matches.
+	 */
+	if (upper_index < 0)
+		return 0.0;
+
+	/*
+	 * If the upper bound value is at or beyond the histogram's upper limit,
+	 * start our loop at the last actual bin, as though the upper bound were
+	 * within that bin; get_position will clamp its result to 1.0 anyway.
+	 * (This corresponds to assuming that the data population above the
+	 * histogram's upper limit is empty, exactly like what we just assumed for
+	 * the lower limit.)
+	 */
+	upper_index = Min(upper_index, hist_nvalues - 2);
+
 	/*
 	 * Calculate upper_bin_width, ie. the fraction of the (upper_index,
 	 * upper_index + 1) bin which is greater than upper bound of query range
 	 * using linear interpolation of subdiff function.
 	 */
-	if (upper_index >= 0 && upper_index < hist_nvalues - 1)
-		upper_bin_width = get_position(typcache, upper,
-									   &hist_lower[upper_index],
-									   &hist_lower[upper_index + 1]);
-	else
-		upper_bin_width = 0.0;
+	upper_bin_width = get_position(typcache, upper,
+								   &hist_lower[upper_index],
+								   &hist_lower[upper_index + 1]);
 
 	/*
 	 * In the loop, dist and prev_dist are the distance of the "current" bin's
@@ -1103,9 +1134,6 @@ calc_hist_selectivity_contained(TypeCacheEntry *typcache,
  * of ranges that contain the constant lower and upper bounds. This uses
  * the histograms of range lower bounds and range lengths, on the assumption
  * that the range lengths are independent of the lower bounds.
- *
- * Note, this is "var @> const", ie. estimate the fraction of ranges that
- * contain the constant lower and upper bounds.
  */
 static double
 calc_hist_selectivity_contains(TypeCacheEntry *typcache,
@@ -1124,16 +1152,30 @@ calc_hist_selectivity_contains(TypeCacheEntry *typcache,
 	lower_index = rbound_bsearch(typcache, lower, hist_lower, hist_nvalues,
 								 true);
 
+	/*
+	 * If the lower bound value is below the histogram's lower limit, there
+	 * are no matches.
+	 */
+	if (lower_index < 0)
+		return 0.0;
+
+	/*
+	 * If the lower bound value is at or beyond the histogram's upper limit,
+	 * start our loop at the last actual bin, as though the upper bound were
+	 * within that bin; get_position will clamp its result to 1.0 anyway.
+	 * (This corresponds to assuming that the data population above the
+	 * histogram's upper limit is empty, exactly like what we just assumed for
+	 * the lower limit.)
+	 */
+	lower_index = Min(lower_index, hist_nvalues - 2);
+
 	/*
 	 * Calculate lower_bin_width, ie. the fraction of the of (lower_index,
 	 * lower_index + 1) bin which is greater than lower bound of query range
 	 * using linear interpolation of subdiff function.
 	 */
-	if (lower_index >= 0 && lower_index < hist_nvalues - 1)
-		lower_bin_width = get_position(typcache, lower, &hist_lower[lower_index],
-									   &hist_lower[lower_index + 1]);
-	else
-		lower_bin_width = 0.0;
+	lower_bin_width = get_position(typcache, lower, &hist_lower[lower_index],
+								   &hist_lower[lower_index + 1]);
 
 	/*
 	 * Loop through all the lower bound bins, smaller than the query lower