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[PATCH v15 4/4] Map negative values better.
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* [PATCH v15 4/4] Map negative values better.
@ 2020-09-07 09:33  Heikki Linnakangas <[email protected]>
  0 siblings, 0 replies; 3+ messages in thread

From: Heikki Linnakangas @ 2020-09-07 09:33 UTC (permalink / raw)

---
 src/backend/access/gist/gistproc.c | 169 +++++++++++++++++++++--------
 1 file changed, 121 insertions(+), 48 deletions(-)

diff --git a/src/backend/access/gist/gistproc.c b/src/backend/access/gist/gistproc.c
index 4ed9f46c9bb..7ca7eda84b0 100644
--- a/src/backend/access/gist/gistproc.c
+++ b/src/backend/access/gist/gistproc.c
@@ -31,10 +31,11 @@ static bool gist_box_leaf_consistent(BOX *key, BOX *query,
 									 StrategyNumber strategy);
 static bool rtree_internal_consistent(BOX *key, BOX *query,
 									  StrategyNumber strategy);
-static int64 part_bits32_by2(uint32 x);
-static int64 interleave_bits32(uint32 x, uint32 y);
-static inline uint64 point_zorder_internal(Point *p);
-static int gist_bbox_fastcmp(Datum x, Datum y, SortSupport ssup);
+static uint64 part_bits32_by2(uint32 x);
+static uint64 interleave_bits32(uint32 x, uint32 y);
+static uint32 ieee_float32_to_uint32(float f);
+static uint64 point_zorder_internal(Point *p);
+static int	gist_bbox_fastcmp(Datum x, Datum y, SortSupport ssup);
 
 
 /* Minimum accepted ratio of split */
@@ -1549,75 +1550,147 @@ gist_poly_distance(PG_FUNCTION_ARGS)
 
 /* Z-order routines */
 /* Interleave 32 bits with zeroes */
-static int64
+static uint64
 part_bits32_by2(uint32 x)
 {
 	uint64		n = x;
 
 	n = (n | (n << 16)) & UINT64CONST(0x0000FFFF0000FFFF);
-	n = (n | (n <<  8)) & UINT64CONST(0x00FF00FF00FF00FF);
-	n = (n | (n <<  4)) & UINT64CONST(0x0F0F0F0F0F0F0F0F);
-	n = (n | (n <<  2)) & UINT64CONST(0x3333333333333333);
-	n = (n | (n <<  1)) & UINT64CONST(0x5555555555555555);
+	n = (n | (n << 8)) & UINT64CONST(0x00FF00FF00FF00FF);
+	n = (n | (n << 4)) & UINT64CONST(0x0F0F0F0F0F0F0F0F);
+	n = (n | (n << 2)) & UINT64CONST(0x3333333333333333);
+	n = (n | (n << 1)) & UINT64CONST(0x5555555555555555);
 
 	return n;
 }
 
 /*
- * Compute Z-order for integers. Also called Morton code.
+ * Compute Z-order for a point
+ *
+ * Map a two-dimensional point to a single integer, in a way that preserves
+ * locality. Points that are close in the two-dimensional space are mapped to
+ * integer that are not far from each other. We do that by interleaving the
+ * bits in the X and Y components, this is called a Z-order or Morton Code.
+ *
+ * A Morton Code is normally defined only for integers, but the X and Y values
+ * of a point are floating point. We expect floats to be in IEEE format, and
+ * the sort order of IEEE floats is mostly correlated to the binary sort order
+ * of the bits reinterpreted as an int.  It isn't in some special cases, but
+ * for this use case we don't really care about that, we're just trying to
+ * encourage locality.
  */
-static int64
+
+static uint64
+point_zorder_internal(Point *p)
+{
+	return interleave_bits32(ieee_float32_to_uint32(p->x),
+							 ieee_float32_to_uint32(p->y));
+}
+
+static uint64
 interleave_bits32(uint32 x, uint32 y)
 {
 	return part_bits32_by2(x) | (part_bits32_by2(y) << 1);
 }
 
-/* Compute Z-order for Point */
-static inline uint64
-point_zorder_internal(Point *p)
+/*
+ * Convert a 32-bit IEEE float to uint32 in a way that preserves the ordering.
+ */
+static uint32
+ieee_float32_to_uint32(float f)
 {
-	/*
-	 * In this function we need to compute Morton codes for floating point
-	 * components p->x and p->y. But Morton codes are defined only for
-	 * integers.
-	 * We expect floats to be in IEEE format, and the sort order of IEEE
-	 * floats is mostly correlated to the binary sort order of the bits
-	 * reinterpreted as an int.  It isn't in some special cases, but for this
-	 * use case we don't really care about that, we're just trying to
-	 * encourage locality.
-	 * There is a big jump in integer value (whether signed or
-	 * unsigned) as you cross from positive to negative floats, and then the
-	 * sort order is reversed. This can have negative effect on searches when
-	 * query window touches many quadrants simultaneously. In worst case this
-	 * searches can be x4 more costly.
-	 * We generate a Morton code that interleaves the bits of N integers
-	 * to produce a single integer that preserves locality: things that were
-	 * close in the N dimensional space are close in the resulting integer.
+	/*----
+	 *
+	 * IEEE 754 floating point format
+	 * ------------------------------
+	 *
+	 * IEEE 754 floating point numbers have this format:
+	 *
+	 *   exponent (8 bits)
+	 *   |
+	 * s eeeeeeee mmmmmmmmmmmmmmmmmmmmmmm
+	 * |          |
+	 * sign       mantissa (23 bits)
+	 *
+	 * Infinity has all bits in the exponent set and the mantissa is
+	 * all-zeros. Negative infinity is the same but with the sign bit set.
+	 *
+	 * NaNs are represented with all bits in the exponent set, and the least
+	 * significant bit in the mantissa also set. The rest of the mantissa bits
+	 * can be used to distinguish different kinds of NaNs.
+	 *
+	 * The IEEE format has the nice property that when you take the bit
+	 * representation and interpret it as an integer, the order is preserved,
+	 * except for the sign. That holds for the +-Infinity values too.
+	 *
+	 * Mapping to uint32
+	 * -----------------
+	 *
+	 * In order to have a smooth transition from negative to positive numbers,
+	 * we map floats to unsigned integers like this:
+	 *
+	 * x < 0 to range 0-7FFFFFFF
+	 * x = 0 to value 8000000 (both positive and negative zero)
+	 * x > 0 to range 8000001-FFFFFFFF
+	 *
+	 * We don't care to distinguish different kind of NaNs, so they are all
+	 * mapped to the same arbitrary value, FFFFFFFF. Because of the IEEE bit
+	 * representation of NaNs, there aren't actually any non-NaN values that
+	 * would be mapped to FFFFFFFF, there is actually a range of unused values
+	 * on both ends of the uint32 space.
 	 */
-	union {
-		float f;
-		uint32 i;
-	} a,b;
-	a.f = p->x;
-	b.f = p->y;
-	if (isnan(a.f))
-		a.i = PG_INT32_MAX;
-	if (isnan(b.f))
-		b.i = PG_INT32_MAX;
-	return interleave_bits32(a.i, b.i);
+	if (isnan(f))
+		return 0xFFFFFFFF;
+	else
+	{
+		union
+		{
+			float		f;
+			uint32		i;
+		}			u;
+
+		u.f = f;
+
+		/* Check the sign bit */
+		if ((u.i & 0x80000000) != 0)
+		{
+			/*
+			 * Map the negative value to range 0-7FFFFFFF. This flips the sign
+			 * bit to 0 in the same instruction.
+			 */
+			Assert(f < 0);
+
+			u.i ^= 0xFFFFFFFF;
+		}
+		else
+		{
+			/* Map the positive value (or 0) to range 80000000-FFFFFFFF */
+			u.i |= 0x80000000;
+		}
+
+		return u.i;
+	}
 }
 
 static int
 gist_bbox_fastcmp(Datum x, Datum y, SortSupport ssup)
 {
-	Point	*p1 = &(DatumGetBoxP(x)->low);
-	Point	*p2 = &(DatumGetBoxP(y)->low);
-	uint64	 z1 = point_zorder_internal(p1);
-	uint64	 z2 = point_zorder_internal(p2);
-
-	return z1 == z2 ? 0 : z1 > z2 ? 1 : -1;
+	Point	   *p1 = &(DatumGetBoxP(x)->low);
+	Point	   *p2 = &(DatumGetBoxP(y)->low);
+	uint64		z1 = point_zorder_internal(p1);
+	uint64		z2 = point_zorder_internal(p2);
+
+	if (z1 > z2)
+		return 1;
+	else if (z1 < z2)
+		return -1;
+	else
+		return 0;
 }
 
+/*
+ * Sort support routine for fast GiST index build by sorting.
+ */
 Datum
 gist_point_sortsupport(PG_FUNCTION_ARGS)
 {
-- 
2.20.1


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--------------6B0F72DC432BA15F8707CFE7--





^ permalink  raw  reply  [nested|flat] 3+ messages in thread

* Re: abi-compliance-checker
@ 2024-03-04 12:50  Peter Eisentraut <[email protected]>
  0 siblings, 1 reply; 3+ messages in thread

From: Peter Eisentraut @ 2024-03-04 12:50 UTC (permalink / raw)
  To: Alvaro Herrera <[email protected]>; +Cc: PostgreSQL Hackers <[email protected]>

On 27.02.24 14:25, Alvaro Herrera wrote:
> I like this idea and I think we should integrate it with the objective
> of it becoming the workhorse of ABI-stability testing.  However, I do
> not think that the subsequent patches should be part of the tree at all;
> certainly not the produced .xml files in your 0004, as that would be far
> too unstable and would cause a lot of pointless churn.

Looking at this again, if we don't want the .xml files in the tree, then 
we don't really need this patch series.  Most of the delicate work in 
the 0001 patch was to find the right abidw options combinations to 
reduce the variability in the .xml output files (--no-show-locs is an 
obvious example).  If we don't want to record the .xml files in the 
tree, then we don't need all these complications.

For example, if we want to check the postgres backend ABI across minor 
versions, we could just compile it multiple times and compare the 
binaries directly:

git checkout REL_16_0
meson setup build-0
meson compile -C build-0

git checkout REL_16_STABLE
meson setup build-1
meson compile -C build-1

abidiff --no-added-syms build-0/src/backend/postgres 
build-1/src/backend/postgres


> The way I see this working, is that we set up a buildfarm animal [per
> architecture] that runs the new rules produced by the abidw option and
> stores the result locally, so that for stable branches it can turn red
> when an ABI-breaking change with the previous minor release of the same
> branch is introduced.  There's no point on it ever turning red in the
> master branch, since we're obviously not concerned with ABI changes there.

Maybe the way forward here is to write a buildfarm module for this, and 
then see from there what further needs there are.







^ permalink  raw  reply  [nested|flat] 3+ messages in thread

* Re: abi-compliance-checker
@ 2024-03-14 14:38  Robert Haas <[email protected]>
  parent: Peter Eisentraut <[email protected]>
  0 siblings, 0 replies; 3+ messages in thread

From: Robert Haas @ 2024-03-14 14:38 UTC (permalink / raw)
  To: Peter Eisentraut <[email protected]>; +Cc: Alvaro Herrera <[email protected]>; PostgreSQL Hackers <[email protected]>

On Mon, Mar 4, 2024 at 7:50 AM Peter Eisentraut <[email protected]> wrote:
> Looking at this again, if we don't want the .xml files in the tree, then
> we don't really need this patch series.

Based on this, I've updated the status of this patch in the CommitFest
application to Withdrawn. If that's not correct, please feel free to
adjust.

-- 
Robert Haas
EDB: http://www.enterprisedb.com






^ permalink  raw  reply  [nested|flat] 3+ messages in thread


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2020-09-07 09:33 [PATCH v15 4/4] Map negative values better. Heikki Linnakangas <[email protected]>
2024-03-04 12:50 Re: abi-compliance-checker Peter Eisentraut <[email protected]>
2024-03-14 14:38 ` Re: abi-compliance-checker Robert Haas <[email protected]>

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