Re: [HACKERS] Double sorting split patch

2011-10-06 Thread Heikki Linnakangas

On 05.10.2011 15:59, Alexander Korotkov wrote:

Path without allocating extra bytes is attached.
I run some more detailed tests on geonames and two smaller datasets from
rtreeportal.org.


Ok, thanks. Looks good to me now, so committed.

--
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  EnterpriseDB   http://www.enterprisedb.com

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Re: [HACKERS] Double sorting split patch

2011-10-06 Thread Alexander Korotkov
On Thu, Oct 6, 2011 at 11:06 AM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

 On 05.10.2011 15:59, Alexander Korotkov wrote:

 Path without allocating extra bytes is attached.
 I run some more detailed tests on geonames and two smaller datasets from
 rtreeportal.org.


 Ok, thanks. Looks good to me now, so committed.

Thanks. I'm going to continue work on application of this split method in
following areas:
1) range types
2) seg contrib module
3) cube contrib module (there situation is not so easy, probably some
heuristic of split method selection would be required)
Do you think that separation of some common parts of algorithm implemetation
is resonable in order to avoid code duplication? For example, different
application of algorithm could share function of splits enumeration along
axis which takes pointer to consider_split as an argument.

--
With best regards,
Alexander Korotkov.


Re: [HACKERS] Double sorting split patch

2011-10-06 Thread Heikki Linnakangas

On 06.10.2011 11:22, Alexander Korotkov wrote:

Thanks. I'm going to continue work on application of this split method in
following areas:
1) range types
2) seg contrib module
3) cube contrib module (there situation is not so easy, probably some
heuristic of split method selection would be required)
Do you think that separation of some common parts of algorithm implemetation
is resonable in order to avoid code duplication? For example, different
application of algorithm could share function of splits enumeration along
axis which takes pointer to consider_split as an argument.


Dunno. I'd suggest that you just copy-paste the code for now, and we'll 
see how much duplication there is in the end.


--
  Heikki Linnakangas
  EnterpriseDB   http://www.enterprisedb.com

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Re: [HACKERS] Double sorting split patch

2011-10-05 Thread Heikki Linnakangas

On 04.10.2011 15:10, Alexander Korotkov wrote:

On Tue, Oct 4, 2011 at 1:46 PM, Heikki Linnakangas
heikki.linnakan...@enterprisedb.com  wrote:


Ok. Could you phrase that as a code comment?

Here's a version of the patch I've been working on. There's no functional
changes, just a lot of moving things around, comment changes, etc. to
hopefully make it more readable.


Thanks for your work on this patch. Patch with comment is attached.


Thanks, I incorporated that, and did a lot of other comment changes. I 
included the example you gave earlier on how the first phase of the 
algorithm works, in a comment. Please review, and if you have some test 
cases at hand, run them. I think this is ready for commit now.


One more thing:

/* Allocate vectors for results */
nbytes = (maxoff + 2) * sizeof(OffsetNumber);
v-spl_left = (OffsetNumber *) palloc(nbytes);
v-spl_right = (OffsetNumber *) palloc(nbytes);


Why maxoff + 2 ? Allocating a few extra bytes is obviously harmless, 
but I wonder if it was just a leftover from something.


--
  Heikki Linnakangas
  EnterpriseDB   http://www.enterprisedb.com
*** a/src/backend/access/gist/gistproc.c
--- b/src/backend/access/gist/gistproc.c
***
*** 27,32  static double size_box(Datum dbox);
--- 27,35 
  static bool rtree_internal_consistent(BOX *key, BOX *query,
  		  StrategyNumber strategy);
  
+ /* Minimal possible ratio of split */
+ #define LIMIT_RATIO 0.3
+ 
  
  /**
   * Box ops
***
*** 49,78  rt_box_union(PG_FUNCTION_ARGS)
  	PG_RETURN_BOX_P(n);
  }
  
- static Datum
- rt_box_inter(PG_FUNCTION_ARGS)
- {
- 	BOX		   *a = PG_GETARG_BOX_P(0);
- 	BOX		   *b = PG_GETARG_BOX_P(1);
- 	BOX		   *n;
- 
- 	n = (BOX *) palloc(sizeof(BOX));
- 
- 	n-high.x = Min(a-high.x, b-high.x);
- 	n-high.y = Min(a-high.y, b-high.y);
- 	n-low.x = Max(a-low.x, b-low.x);
- 	n-low.y = Max(a-low.y, b-low.y);
- 
- 	if (n-high.x  n-low.x || n-high.y  n-low.y)
- 	{
- 		pfree(n);
- 		/* Indicate no intersection by returning NULL pointer */
- 		n = NULL;
- 	}
- 
- 	PG_RETURN_BOX_P(n);
- }
- 
  /*
   * The GiST Consistent method for boxes
   *
--- 52,57 
***
*** 194,279  gist_box_penalty(PG_FUNCTION_ARGS)
  	PG_RETURN_POINTER(result);
  }
  
- static void
- chooseLR(GIST_SPLITVEC *v,
- 		 OffsetNumber *list1, int nlist1, BOX *union1,
- 		 OffsetNumber *list2, int nlist2, BOX *union2)
- {
- 	bool		firstToLeft = true;
- 
- 	if (v-spl_ldatum_exists || v-spl_rdatum_exists)
- 	{
- 		if (v-spl_ldatum_exists  v-spl_rdatum_exists)
- 		{
- 			BOX			LRl = *union1,
- 		LRr = *union2;
- 			BOX			RLl = *union2,
- 		RLr = *union1;
- 			double		sizeLR,
- 		sizeRL;
- 
- 			adjustBox(LRl, DatumGetBoxP(v-spl_ldatum));
- 			adjustBox(LRr, DatumGetBoxP(v-spl_rdatum));
- 			adjustBox(RLl, DatumGetBoxP(v-spl_ldatum));
- 			adjustBox(RLr, DatumGetBoxP(v-spl_rdatum));
- 
- 			sizeLR = size_box(DirectFunctionCall2(rt_box_inter, BoxPGetDatum(LRl), BoxPGetDatum(LRr)));
- 			sizeRL = size_box(DirectFunctionCall2(rt_box_inter, BoxPGetDatum(RLl), BoxPGetDatum(RLr)));
- 
- 			if (sizeLR  sizeRL)
- firstToLeft = false;
- 
- 		}
- 		else
- 		{
- 			float		p1,
- 		p2;
- 			GISTENTRY	oldUnion,
- 		addon;
- 
- 			gistentryinit(oldUnion, (v-spl_ldatum_exists) ? v-spl_ldatum : v-spl_rdatum,
- 		  NULL, NULL, InvalidOffsetNumber, FALSE);
- 
- 			gistentryinit(addon, BoxPGetDatum(union1), NULL, NULL, InvalidOffsetNumber, FALSE);
- 			DirectFunctionCall3(gist_box_penalty, PointerGetDatum(oldUnion), PointerGetDatum(addon), PointerGetDatum(p1));
- 			gistentryinit(addon, BoxPGetDatum(union2), NULL, NULL, InvalidOffsetNumber, FALSE);
- 			DirectFunctionCall3(gist_box_penalty, PointerGetDatum(oldUnion), PointerGetDatum(addon), PointerGetDatum(p2));
- 
- 			if ((v-spl_ldatum_exists  p1  p2) || (v-spl_rdatum_exists  p1  p2))
- firstToLeft = false;
- 		}
- 	}
- 
- 	if (firstToLeft)
- 	{
- 		v-spl_left = list1;
- 		v-spl_right = list2;
- 		v-spl_nleft = nlist1;
- 		v-spl_nright = nlist2;
- 		if (v-spl_ldatum_exists)
- 			adjustBox(union1, DatumGetBoxP(v-spl_ldatum));
- 		v-spl_ldatum = BoxPGetDatum(union1);
- 		if (v-spl_rdatum_exists)
- 			adjustBox(union2, DatumGetBoxP(v-spl_rdatum));
- 		v-spl_rdatum = BoxPGetDatum(union2);
- 	}
- 	else
- 	{
- 		v-spl_left = list2;
- 		v-spl_right = list1;
- 		v-spl_nleft = nlist2;
- 		v-spl_nright = nlist1;
- 		if (v-spl_ldatum_exists)
- 			adjustBox(union2, DatumGetBoxP(v-spl_ldatum));
- 		v-spl_ldatum = BoxPGetDatum(union2);
- 		if (v-spl_rdatum_exists)
- 			adjustBox(union1, DatumGetBoxP(v-spl_rdatum));
- 		v-spl_rdatum = BoxPGetDatum(union1);
- 	}
- 
- 	v-spl_ldatum_exists = v-spl_rdatum_exists = false;
- }
- 
  /*
   * Trivial split: half of entries will be placed on one page
   * and another half - to another
--- 173,178 
***
*** 338,536  fallbackSplit(GistEntryVector *entryvec, GIST_SPLITVEC *v)
  }
  
  /*
!  * The 

Re: [HACKERS] Double sorting split patch

2011-10-05 Thread Alexander Korotkov
On Wed, Oct 5, 2011 at 11:37 AM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

 On 04.10.2011 15:10, Alexander Korotkov wrote:

 On Tue, Oct 4, 2011 at 1:46 PM, Heikki Linnakangas
 heikki.linnakangas@**enterprisedb.comheikki.linnakan...@enterprisedb.com
  wrote:

  Ok. Could you phrase that as a code comment?

 Here's a version of the patch I've been working on. There's no functional
 changes, just a lot of moving things around, comment changes, etc. to
 hopefully make it more readable.


 Thanks for your work on this patch. Patch with comment is attached.


 Thanks, I incorporated that, and did a lot of other comment changes. I
 included the example you gave earlier on how the first phase of the
 algorithm works, in a comment. Please review, and if you have some test
 cases at hand, run them. I think this is ready for commit now.

Comments looks good, thanks. I'm going to try also some datasets from
rtreeportal.org http://www.rtreeportal.org/


 One more thing:

/* Allocate vectors for results */
nbytes = (maxoff + 2) * sizeof(OffsetNumber);
v-spl_left = (OffsetNumber *) palloc(nbytes);
v-spl_right = (OffsetNumber *) palloc(nbytes);


 Why maxoff + 2 ? Allocating a few extra bytes is obviously harmless, but
 I wonder if it was just a leftover from something.

It was nested from old code. This extra bytes are useless in modern versions
of PostgreSQL as we found while seg picksplit patch discussion. Modern
version of seg picksplit doesn't contain them:
http://git.postgresql.org/gitweb/?p=postgresql.git;a=commitdiff;h=2a6ebe70fb2f7ec97a08dc07214fe2ca571d2780;hp=290f1603b4208ca6a13776f744b586a958e98d74

--
With best regards,
Alexander Korotkov.


Re: [HACKERS] Double sorting split patch

2011-10-05 Thread Alexander Korotkov
Path without allocating extra bytes is attached.
I run some more detailed tests on geonames and two smaller datasets from
rtreeportal.org.
Test tables are following:
1) test1 - geonames
2) test2 - California Roads, containing the MBRs of 2,249,727 streets
3) test3 - Tiger Streams, containing the MBRs of 194,971 streams
Scripts for test queries generation and execution are attached
(scripts.tar.gz).

Build times are given in the following table:
  New linear Double sorting
test1 277.889630 273.766355
test2  73.262561  75.114079
test3   4.251563   4.425139
As we can see, build times differ insignificantly.

Index sizes are given in the following table:
  New linear Double sorting
test1 572383232  578977792
test2 179929088  178569216
test3  15409152   15532032
As we can see, index sizes differ insignificantly.

Data about index quality testing are in the table test_results of the
following structure:
tablename - name of the queried table
count - actual count of rows matching query
nominal_count - count of rows matching query which test generator tried to
provide (test generator not always can create test query which return
exactly same amount of rows as it was expected)
strategy - split strategy: 1 - new liner split(current), 2 - double
sorting(this patch)
hits - number of pages hits for query execution.

Raw data are in the attachment (test_result.sql.gz). Report is below.
test=# select tablename, nominal_count, round(avg(count),2) as avg_count,
strategy, round(avg(hits),2) as avg_hits from test_results group by
tablename, nominal_count, strategy order by tablename, nominal_count,
strategy;
 tablename | nominal_count | avg_count | strategy | avg_hits
---+---+---+--+--
 test1 | 1 |  4.87 |1 |19.94
 test1 | 1 |  4.87 |2 | 6.46
 test1 |10 | 11.07 |1 |23.95
 test1 |10 | 11.07 |2 | 7.36
 test1 |   100 |101.36 |1 |43.30
 test1 |   100 |101.36 |2 |10.19
 test1 |  1000 |998.70 |1 |86.48
 test1 |  1000 |998.70 |2 |24.21
 test2 | 1 |  1.32 |1 | 8.67
 test2 | 1 |  1.32 |2 | 5.99
 test2 |10 | 11.32 |1 | 9.40
 test2 |10 | 11.32 |2 | 6.71
 test2 |   100 |102.93 |1 |13.10
 test2 |   100 |102.93 |2 | 9.02
 test2 |  1000 |999.67 |1 |32.16
 test2 |  1000 |999.67 |2 |23.51
 test3 | 1 |  0.99 |1 | 6.03
 test3 | 1 |  0.99 |2 | 4.32
 test3 |10 |  9.95 |1 | 7.52
 test3 |10 |  9.95 |2 | 5.09
 test3 |   100 | 99.92 |1 |10.73
 test3 |   100 | 99.92 |2 | 7.73
 test3 |  1000 |999.75 |1 |27.47
 test3 |  1000 |999.75 |2 |22.44
(24 rows)

As we can see, double sorting split outperfoms new linear split in all the
presented cases. Difference in test2 and test3 is not so big as it is in
test1. It can be explained by fact that test2 and test3 are smaller than
test1.

--
With best regards,
Alexander Korotkov.


scripts.tar.gz
Description: GNU Zip compressed data
*** a/src/backend/access/gist/gistproc.c
--- b/src/backend/access/gist/gistproc.c
***
*** 27,32  static double size_box(Datum dbox);
--- 27,35 
  static bool rtree_internal_consistent(BOX *key, BOX *query,
  		  StrategyNumber strategy);
  
+ /* Minimal possible ratio of split */
+ #define LIMIT_RATIO 0.3
+ 
  
  /**
   * Box ops
***
*** 49,78  rt_box_union(PG_FUNCTION_ARGS)
  	PG_RETURN_BOX_P(n);
  }
  
- static Datum
- rt_box_inter(PG_FUNCTION_ARGS)
- {
- 	BOX		   *a = PG_GETARG_BOX_P(0);
- 	BOX		   *b = PG_GETARG_BOX_P(1);
- 	BOX		   *n;
- 
- 	n = (BOX *) palloc(sizeof(BOX));
- 
- 	n-high.x = Min(a-high.x, b-high.x);
- 	n-high.y = Min(a-high.y, b-high.y);
- 	n-low.x = Max(a-low.x, b-low.x);
- 	n-low.y = Max(a-low.y, b-low.y);
- 
- 	if (n-high.x  n-low.x || n-high.y  n-low.y)
- 	{
- 		pfree(n);
- 		/* Indicate no intersection by returning NULL pointer */
- 		n = NULL;
- 	}
- 
- 	PG_RETURN_BOX_P(n);
- }
- 
  /*
   * The GiST Consistent method for boxes
   *
--- 52,57 
***
*** 194,279  gist_box_penalty(PG_FUNCTION_ARGS)
  	PG_RETURN_POINTER(result);
  }
  
- static void
- chooseLR(GIST_SPLITVEC *v,
- 		 OffsetNumber *list1, int nlist1, BOX *union1,
- 		 OffsetNumber *list2, int nlist2, BOX *union2)
- {
- 	bool		firstToLeft = true;
- 
- 	if (v-spl_ldatum_exists || v-spl_rdatum_exists)
- 	{
- 		if (v-spl_ldatum_exists  

Re: [HACKERS] Double sorting split patch

2011-10-04 Thread Heikki Linnakangas

On 22.09.2011 22:12, Alexander Korotkov wrote:

Patch without that dead code is attached.


Thanks.

Can you elaborate the consider-split algorithm? The criteria to select 
the new split over the previously selected one is this:

!   /*
!* If ratio is acceptable, we should compare current split with
!* previously selected one. If no split was selected then we 
select
!* current anyway. Between splits of one dimension we search for
!* minimal overlap (allowing negative values) and minimal ration
!* (between same overlaps. We switch dimension if find less 
overlap
!* (non-negative) or less range with same overlap.
!*/
!   range = diminfo-upper - diminfo-lower;
!   overlap = ((leftUpper) - (rightLower)) / range;
!   if (context-first ||
!   (context-dim == dimNum 
!(overlap  context-overlap ||
! (overlap == context-overlap  ratio  
context-ratio))) ||
!   (context-dim != dimNum 
!((range  context-range 
!  non_negative(overlap) = 
non_negative(context-overlap)) ||
! non_negative(overlap)  
non_negative(context-overlap)))
!   )
!   {


Why are negative overlaps handled differently across dimensions and 
within the same dimension? Your considerSplit algorithm in the SYRCoSE 
2011 paper doesn't seem to make that distinction.


--
  Heikki Linnakangas
  EnterpriseDB   http://www.enterprisedb.com

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Re: [HACKERS] Double sorting split patch

2011-10-04 Thread Alexander Korotkov
On Tue, Oct 4, 2011 at 12:12 PM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

 Can you elaborate the consider-split algorithm? The criteria to select the
 new split over the previously selected one is this:

 !   /*
 !* If ratio is acceptable, we should compare current split
 with
 !* previously selected one. If no split was selected then
 we select
 !* current anyway. Between splits of one dimension we
 search for
 !* minimal overlap (allowing negative values) and minimal
 ration
 !* (between same overlaps. We switch dimension if find
 less overlap
 !* (non-negative) or less range with same overlap.
 !*/
 !   range = diminfo-upper - diminfo-lower;
 !   overlap = ((leftUpper) - (rightLower)) / range;
 !   if (context-first ||
 !   (context-dim == dimNum 
 !(overlap  context-overlap ||
 ! (overlap == context-overlap  ratio 
 context-ratio))) ||
 !   (context-dim != dimNum 
 !((range  context-range 
 !  non_negative(overlap) =
 non_negative(context-overlap)**) ||
 ! non_negative(overlap) 
 non_negative(context-overlap)**))
 !   )
 !   {


 Why are negative overlaps handled differently across dimensions and within
 the same dimension? Your considerSplit algorithm in the SYRCoSE 2011 paper
 doesn't seem to make that distinction.


Yes, I've changed this behaviour after experiments on real-life datasets. On
the datasets where data don't overlap themselfs (points are always such
datasets), non-overlapping splits are frequently possible. In this case
splits tends to be along one dimension, because most distant non-overlapping
splits (i.e. having lowest negative overlap) appears to be in the same
dimension as previous split. Therefore MBRs appear to be very prolonged
along another dimension, that's bad for search. In order to prevent this
behavour I've made transition to another dimension by non-nagative part of
overlap and range. Using range as the split criteria makes MBRs more
quadratic, and using non-negative part of overlap as priority criteria give
to range chance to matter.

--
With best regards,
Alexander Korotkov.


Re: [HACKERS] Double sorting split patch

2011-10-04 Thread Heikki Linnakangas

On 04.10.2011 11:51, Alexander Korotkov wrote:

On Tue, Oct 4, 2011 at 12:12 PM, Heikki Linnakangas
heikki.linnakan...@enterprisedb.com  wrote:


Can you elaborate the consider-split algorithm? The criteria to select the
new split over the previously selected one is this:


!   /*
!* If ratio is acceptable, we should compare current split
with
!* previously selected one. If no split was selected then
we select
!* current anyway. Between splits of one dimension we
search for
!* minimal overlap (allowing negative values) and minimal
ration
!* (between same overlaps. We switch dimension if find
less overlap
!* (non-negative) or less range with same overlap.
!*/
!   range = diminfo-upper - diminfo-lower;
!   overlap = ((leftUpper) - (rightLower)) / range;
!   if (context-first ||
!   (context-dim == dimNum
!(overlap  context-overlap ||
! (overlap == context-overlap  ratio
context-ratio))) ||
!   (context-dim != dimNum
!((range  context-range
!  non_negative(overlap)=
non_negative(context-overlap)**) ||
! non_negative(overlap)
non_negative(context-overlap)**))
!   )
!   {



Why are negative overlaps handled differently across dimensions and within
the same dimension? Your considerSplit algorithm in the SYRCoSE 2011 paper
doesn't seem to make that distinction.


Yes, I've changed this behaviour after experiments on real-life datasets. On
the datasets where data don't overlap themselfs (points are always such
datasets), non-overlapping splits are frequently possible. In this case
splits tends to be along one dimension, because most distant non-overlapping
splits (i.e. having lowest negative overlap) appears to be in the same
dimension as previous split. Therefore MBRs appear to be very prolonged
along another dimension, that's bad for search. In order to prevent this
behavour I've made transition to another dimension by non-nagative part of
overlap and range. Using range as the split criteria makes MBRs more
quadratic, and using non-negative part of overlap as priority criteria give
to range chance to matter.


Ok. Could you phrase that as a code comment?

Here's a version of the patch I've been working on. There's no 
functional changes, just a lot of moving things around, comment changes, 
etc. to hopefully make it more readable.


--
  Heikki Linnakangas
  EnterpriseDB   http://www.enterprisedb.com
diff --git a/src/backend/access/gist/gistproc.c b/src/backend/access/gist/gistproc.c
index 43c4b12..af1a42d 100644
--- a/src/backend/access/gist/gistproc.c
+++ b/src/backend/access/gist/gistproc.c
@@ -26,6 +26,10 @@ static bool gist_box_leaf_consistent(BOX *key, BOX *query,
 static double size_box(Datum dbox);
 static bool rtree_internal_consistent(BOX *key, BOX *query,
 		  StrategyNumber strategy);
+static BOX *empty_box(void);
+
+/* Minimal possible ratio of split */
+#define LIMIT_RATIO 0.3
 
 
 /**
@@ -49,30 +53,6 @@ rt_box_union(PG_FUNCTION_ARGS)
 	PG_RETURN_BOX_P(n);
 }
 
-static Datum
-rt_box_inter(PG_FUNCTION_ARGS)
-{
-	BOX		   *a = PG_GETARG_BOX_P(0);
-	BOX		   *b = PG_GETARG_BOX_P(1);
-	BOX		   *n;
-
-	n = (BOX *) palloc(sizeof(BOX));
-
-	n-high.x = Min(a-high.x, b-high.x);
-	n-high.y = Min(a-high.y, b-high.y);
-	n-low.x = Max(a-low.x, b-low.x);
-	n-low.y = Max(a-low.y, b-low.y);
-
-	if (n-high.x  n-low.x || n-high.y  n-low.y)
-	{
-		pfree(n);
-		/* Indicate no intersection by returning NULL pointer */
-		n = NULL;
-	}
-
-	PG_RETURN_BOX_P(n);
-}
-
 /*
  * The GiST Consistent method for boxes
  *
@@ -194,86 +174,6 @@ gist_box_penalty(PG_FUNCTION_ARGS)
 	PG_RETURN_POINTER(result);
 }
 
-static void
-chooseLR(GIST_SPLITVEC *v,
-		 OffsetNumber *list1, int nlist1, BOX *union1,
-		 OffsetNumber *list2, int nlist2, BOX *union2)
-{
-	bool		firstToLeft = true;
-
-	if (v-spl_ldatum_exists || v-spl_rdatum_exists)
-	{
-		if (v-spl_ldatum_exists  v-spl_rdatum_exists)
-		{
-			BOX			LRl = *union1,
-		LRr = *union2;
-			BOX			RLl = *union2,
-		RLr = *union1;
-			double		sizeLR,
-		sizeRL;
-
-			adjustBox(LRl, DatumGetBoxP(v-spl_ldatum));
-			adjustBox(LRr, DatumGetBoxP(v-spl_rdatum));
-			adjustBox(RLl, DatumGetBoxP(v-spl_ldatum));
-			adjustBox(RLr, DatumGetBoxP(v-spl_rdatum));
-
-			sizeLR = size_box(DirectFunctionCall2(rt_box_inter, BoxPGetDatum(LRl), BoxPGetDatum(LRr)));
-			sizeRL = size_box(DirectFunctionCall2(rt_box_inter, BoxPGetDatum(RLl), BoxPGetDatum(RLr)));
-
-			if (sizeLR  sizeRL)
-firstToLeft = false;
-
-		}
-		else
-		{
-			float		p1,
-		p2;
-			GISTENTRY	oldUnion,
-		addon;
-
-			gistentryinit(oldUnion, (v-spl_ldatum_exists) ? v-spl_ldatum : v-spl_rdatum,
-		  NULL, NULL, 

Re: [HACKERS] Double sorting split patch

2011-10-04 Thread Alexander Korotkov
On Tue, Oct 4, 2011 at 1:46 PM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

 Ok. Could you phrase that as a code comment?

 Here's a version of the patch I've been working on. There's no functional
 changes, just a lot of moving things around, comment changes, etc. to
 hopefully make it more readable.


Thanks for your work on this patch. Patch with comment is attached.

--
With best regards,
Alexander Korotkov.
*** a/src/backend/access/gist/gistproc.c
--- b/src/backend/access/gist/gistproc.c
***
*** 26,31  static bool gist_box_leaf_consistent(BOX *key, BOX *query,
--- 26,35 
  static double size_box(Datum dbox);
  static bool rtree_internal_consistent(BOX *key, BOX *query,
  		  StrategyNumber strategy);
+ static BOX *empty_box(void);
+ 
+ /* Minimal possible ratio of split */
+ #define LIMIT_RATIO 0.3
  
  
  /**
***
*** 49,78  rt_box_union(PG_FUNCTION_ARGS)
  	PG_RETURN_BOX_P(n);
  }
  
- static Datum
- rt_box_inter(PG_FUNCTION_ARGS)
- {
- 	BOX		   *a = PG_GETARG_BOX_P(0);
- 	BOX		   *b = PG_GETARG_BOX_P(1);
- 	BOX		   *n;
- 
- 	n = (BOX *) palloc(sizeof(BOX));
- 
- 	n-high.x = Min(a-high.x, b-high.x);
- 	n-high.y = Min(a-high.y, b-high.y);
- 	n-low.x = Max(a-low.x, b-low.x);
- 	n-low.y = Max(a-low.y, b-low.y);
- 
- 	if (n-high.x  n-low.x || n-high.y  n-low.y)
- 	{
- 		pfree(n);
- 		/* Indicate no intersection by returning NULL pointer */
- 		n = NULL;
- 	}
- 
- 	PG_RETURN_BOX_P(n);
- }
- 
  /*
   * The GiST Consistent method for boxes
   *
--- 53,58 
***
*** 194,279  gist_box_penalty(PG_FUNCTION_ARGS)
  	PG_RETURN_POINTER(result);
  }
  
- static void
- chooseLR(GIST_SPLITVEC *v,
- 		 OffsetNumber *list1, int nlist1, BOX *union1,
- 		 OffsetNumber *list2, int nlist2, BOX *union2)
- {
- 	bool		firstToLeft = true;
- 
- 	if (v-spl_ldatum_exists || v-spl_rdatum_exists)
- 	{
- 		if (v-spl_ldatum_exists  v-spl_rdatum_exists)
- 		{
- 			BOX			LRl = *union1,
- 		LRr = *union2;
- 			BOX			RLl = *union2,
- 		RLr = *union1;
- 			double		sizeLR,
- 		sizeRL;
- 
- 			adjustBox(LRl, DatumGetBoxP(v-spl_ldatum));
- 			adjustBox(LRr, DatumGetBoxP(v-spl_rdatum));
- 			adjustBox(RLl, DatumGetBoxP(v-spl_ldatum));
- 			adjustBox(RLr, DatumGetBoxP(v-spl_rdatum));
- 
- 			sizeLR = size_box(DirectFunctionCall2(rt_box_inter, BoxPGetDatum(LRl), BoxPGetDatum(LRr)));
- 			sizeRL = size_box(DirectFunctionCall2(rt_box_inter, BoxPGetDatum(RLl), BoxPGetDatum(RLr)));
- 
- 			if (sizeLR  sizeRL)
- firstToLeft = false;
- 
- 		}
- 		else
- 		{
- 			float		p1,
- 		p2;
- 			GISTENTRY	oldUnion,
- 		addon;
- 
- 			gistentryinit(oldUnion, (v-spl_ldatum_exists) ? v-spl_ldatum : v-spl_rdatum,
- 		  NULL, NULL, InvalidOffsetNumber, FALSE);
- 
- 			gistentryinit(addon, BoxPGetDatum(union1), NULL, NULL, InvalidOffsetNumber, FALSE);
- 			DirectFunctionCall3(gist_box_penalty, PointerGetDatum(oldUnion), PointerGetDatum(addon), PointerGetDatum(p1));
- 			gistentryinit(addon, BoxPGetDatum(union2), NULL, NULL, InvalidOffsetNumber, FALSE);
- 			DirectFunctionCall3(gist_box_penalty, PointerGetDatum(oldUnion), PointerGetDatum(addon), PointerGetDatum(p2));
- 
- 			if ((v-spl_ldatum_exists  p1  p2) || (v-spl_rdatum_exists  p1  p2))
- firstToLeft = false;
- 		}
- 	}
- 
- 	if (firstToLeft)
- 	{
- 		v-spl_left = list1;
- 		v-spl_right = list2;
- 		v-spl_nleft = nlist1;
- 		v-spl_nright = nlist2;
- 		if (v-spl_ldatum_exists)
- 			adjustBox(union1, DatumGetBoxP(v-spl_ldatum));
- 		v-spl_ldatum = BoxPGetDatum(union1);
- 		if (v-spl_rdatum_exists)
- 			adjustBox(union2, DatumGetBoxP(v-spl_rdatum));
- 		v-spl_rdatum = BoxPGetDatum(union2);
- 	}
- 	else
- 	{
- 		v-spl_left = list2;
- 		v-spl_right = list1;
- 		v-spl_nleft = nlist2;
- 		v-spl_nright = nlist1;
- 		if (v-spl_ldatum_exists)
- 			adjustBox(union2, DatumGetBoxP(v-spl_ldatum));
- 		v-spl_ldatum = BoxPGetDatum(union2);
- 		if (v-spl_rdatum_exists)
- 			adjustBox(union1, DatumGetBoxP(v-spl_rdatum));
- 		v-spl_rdatum = BoxPGetDatum(union1);
- 	}
- 
- 	v-spl_ldatum_exists = v-spl_rdatum_exists = false;
- }
- 
  /*
   * Trivial split: half of entries will be placed on one page
   * and another half - to another
--- 174,179 
***
*** 338,536  fallbackSplit(GistEntryVector *entryvec, GIST_SPLITVEC *v)
  }
  
  /*
!  * The GiST PickSplit method
   *
!  * New linear algorithm, see 'New Linear Node Splitting Algorithm for R-tree',
!  * C.H.Ang and T.C.Tan
   *
!  * This is used for both boxes and points.
   */
  Datum
  gist_box_picksplit(PG_FUNCTION_ARGS)
  {
  	GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
  	GIST_SPLITVEC *v = (GIST_SPLITVEC *) PG_GETARG_POINTER(1);
! 	OffsetNumber i;
! 	OffsetNumber *listL,
! 			   *listR,
! 			   *listB,
! 			   *listT;
! 	BOX		   *unionL,
! 			   *unionR,
! 			   *unionB,
! 			   *unionT;
! 	int			posL,
! posR,
! posB,
! posT;
! 	BOX			pageunion;
! 	BOX		   *cur;

Re: [HACKERS] Double sorting split patch

2011-09-22 Thread Heikki Linnakangas

!   /*
!* Calculate delta between penalties of join common entries to
!* different groups.
!*/
!   for (i = 0; i  commonEntriesCount; i++)
{
!   double  lower,
!   upper;
!
!   box = 
DatumGetBoxP(entryvec-vector[commonEntries[i].index].key);
!   if (context.dim == 0)
!   {
!   lower = box-low.x;
!   upper = box-high.x;
!   }
!   else
!   {
!   lower = box-low.y;
!   upper = box-high.y;
!   }
!   commonEntries[i].delta = Abs(box_penalty(leftBox, box) -
!   
 box_penalty(rightBox, box));
}


'lower' and 'upper' are not used for anything in the above. Is that just 
dead code that can be removed, or is there something missing that should 
be using them?


--
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  EnterpriseDB   http://www.enterprisedb.com

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Re: [HACKERS] Double sorting split patch

2011-09-22 Thread Alexander Korotkov
On Thu, Sep 22, 2011 at 3:22 PM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

  !   /*
 !* Calculate delta between penalties of join common
 entries to
 !* different groups.
 !*/
 !   for (i = 0; i  commonEntriesCount; i++)
{
 !   double  lower,
 !   upper;
 !
 !   box = DatumGetBoxP(entryvec-vector[**
 commonEntries[i].index].key);
 !   if (context.dim == 0)
 !   {
 !   lower = box-low.x;
 !   upper = box-high.x;
 !   }
 !   else
 !   {
 !   lower = box-low.y;
 !   upper = box-high.y;
 !   }
 !   commonEntries[i].delta = Abs(box_penalty(leftBox,
 box) -
 !
box_penalty(rightBox, box));
}


 'lower' and 'upper' are not used for anything in the above. Is that just
 dead code that can be removed, or is there something missing that should be
 using them?

Yes, it's just dead code.

--
With best regards,
Alexander Korotkov.


Re: [HACKERS] Double sorting split patch

2011-09-22 Thread Alexander Korotkov
On Thu, Sep 22, 2011 at 3:31 PM, Alexander Korotkov aekorot...@gmail.comwrote:

 On Thu, Sep 22, 2011 at 3:22 PM, Heikki Linnakangas 
 heikki.linnakan...@enterprisedb.com wrote:

 'lower' and 'upper' are not used for anything in the above. Is that just
 dead code that can be removed, or is there something missing that should be
 using them?

 Yes, it's just dead code.

Patch without that dead code is attached.

--
With best regards,
Alexander Korotkov.


double-sorting-split-0.3.patch.gz
Description: GNU Zip compressed data

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Re: [HACKERS] Double sorting split patch

2011-09-21 Thread Alexander Korotkov
I've processed the results of the tests with double sorting split which I've
sheduled for buffering build. I've updated wiki page with them:
http://wiki.postgresql.org/wiki/Fast_GiST_index_build_GSoC_2011#Testing_results
Raw results of query speed measues are in the attachment. There number of
pages accesse is presented in dependency of table, buffering build and split
method.
Note, that tests were run with not last version of fast build patch
(gist_fast_build-heikki-0.14.1.1.patch was used). Therefore, build time
with buffering can be better.

--
With best regards,
Alexander Korotkov.
 dataset |  build method  |  split method  | 
predicate | page accesses 
-+++---+---
 uniform | buffering (1/366/on)   | new linear | point @ 
'(0.505,0.505),(0.5,0.5)'::box   |   492
 uniform | buffering (1/366/on)   | new linear | point @ 
'(0.501,0.501),(0.5,0.5)'::box   |   125
 uniform | buffering (1/366/on)   | new linear | point @ 
'(0.51,0.51),(0.5,0.5)'::box |   876
 uniform | buffering (1/366/on)   | new linear | point @ 
'(0.21,0.21),(0.2,0.2)'::box |  1453
 uniform | buffering (1/366/on)   | new linear | point @ 
'(0.103,0.903),(0.1,0.9)'::box   |   394
 uniform | buffering (1/366/auto) | new linear | point @ 
'(0.505,0.505),(0.5,0.5)'::box   |   333
 uniform | buffering (1/366/auto) | new linear | point @ 
'(0.501,0.501),(0.5,0.5)'::box   |   134
 uniform | buffering (1/366/auto) | new linear | point @ 
'(0.51,0.51),(0.5,0.5)'::box |   570
 uniform | buffering (1/366/auto) | new linear | point @ 
'(0.21,0.21),(0.2,0.2)'::box |   720
 uniform | buffering (1/366/auto) | new linear | point @ 
'(0.103,0.903),(0.1,0.9)'::box   |   520
 uniform | ordinal| new linear | point @ 
'(0.505,0.505),(0.5,0.5)'::box   |   563
 uniform | ordinal| new linear | point @ 
'(0.501,0.501),(0.5,0.5)'::box   |   159
 uniform | ordinal| new linear | point @ 
'(0.51,0.51),(0.5,0.5)'::box |   917
 uniform | ordinal| new linear | point @ 
'(0.21,0.21),(0.2,0.2)'::box |   809
 uniform | ordinal| new linear | point @ 
'(0.103,0.903),(0.1,0.9)'::box   |   330
 uniform | buffering (1/366/on)   | double sorting | point @ 
'(0.505,0.505),(0.5,0.5)'::box   |43
 uniform | buffering (1/366/on)   | double sorting | point @ 
'(0.501,0.501),(0.5,0.5)'::box   | 8
 uniform | buffering (1/366/on)   | double sorting | point @ 
'(0.51,0.51),(0.5,0.5)'::box |   128
 uniform | buffering (1/366/on)   | double sorting | point @ 
'(0.21,0.21),(0.2,0.2)'::box |   120
 uniform | buffering (1/366/on)   | double sorting | point @ 
'(0.103,0.903),(0.1,0.9)'::box   |18
 uniform | buffering (1/366/auto) | double sorting | point @ 
'(0.505,0.505),(0.5,0.5)'::box   |38
 uniform | buffering (1/366/auto) | double sorting | point @ 
'(0.501,0.501),(0.5,0.5)'::box   | 7
 uniform | buffering (1/366/auto) | double sorting | point @ 
'(0.51,0.51),(0.5,0.5)'::box |   119
 uniform | buffering (1/366/auto) | double sorting | point @ 
'(0.21,0.21),(0.2,0.2)'::box |   116
 uniform | buffering (1/366/auto) | double sorting | point @ 
'(0.103,0.903),(0.1,0.9)'::box   |20
 uniform | ordinal| double sorting | point @ 
'(0.505,0.505),(0.5,0.5)'::box   |37
 uniform | ordinal| double sorting | point @ 
'(0.501,0.501),(0.5,0.5)'::box   | 7
 uniform | ordinal| double sorting | point @ 
'(0.51,0.51),(0.5,0.5)'::box |   116
 uniform | ordinal| double sorting | point @ 
'(0.21,0.21),(0.2,0.2)'::box |   123
 uniform | ordinal| double sorting | point @ 
'(0.103,0.903),(0.1,0.9)'::box   |19
 usnoa2  | buffering (1/366/on)   | new linear | point @ 
'(275.8,6.8),(275.5,6.5)'::box   |70
 usnoa2  | buffering (1/366/on)   | new linear | point @ 
'(300.8,6.8),(300.5,6.5)'::box   |80
 usnoa2  | buffering (1/366/on)   | new linear | point @ 
'(240,-42.9),(239.9,-43)'::box   |15
 usnoa2  | buffering (1/366/on)   | new linear | point @ 
'(259,-44.5),(258.9,-45.6)'::box |89
 usnoa2  | buffering (1/366/on)   | new linear | point @ 
'(309.6,27),(309.5,26.9)'::box   |   

Re: [HACKERS] Double sorting split patch

2011-09-18 Thread Peter Geoghegan
On 18 September 2011 01:51, Greg Stark st...@mit.edu wrote:
 I think we provided the qsort implementation for the benefit of
 platforms that didn't have a decent one and then ended up switching to
 use it always for some reason I don't recall.  It wasn't because we
 thought we were better at writing qsort implementations than OS
 vendors.

The comment:

 * We have modified their original by adding a check for already-sorted input,
 * which seems to be a win per discussions on pgsql-hackers around 2006-03-21.

sort of suggests that it *was* at least in part because we thought we
could do a better job, but that isn't a significant detail.

 I wondered in passing if compiler vendors had got around to figuring
 out a way of solving the inlining function pointer problem that I
 first read about years ago, so I ran this code, which benchmarks the
 macro-based qsort above:

 You might need -fipa-pta or some other option. Or maybe LLVM would
 have a better chance of pulling this off. Compilers are usually pretty
 loath to generate specializations for every call site for fear of
 bloating the code.

Compilers do a fairly good job of generating the specialisations
appropriately, which leads to the observation that the inline keyword
is kind of at the wrong level of granularity, as individual call sites
are inlined, not functions.

I built this program with a recent build of clang from SVN (left over
from my work on Clang a few weeks back, as it happens) on a more
powerful machine, and the difference narrowed:

C quick-sort time elapsed: 1.89
Inline C quick-sort time elapsed: 1.54

This still seems significant though.

 In any case I don't see how you're going to inline random database
 functions. Those are the cases where large amounts of data are being
 sorted. It's possible we sort small sets of data for internal reasons
 very frequently but I don't recall it turning up at the top of the
 profiles posted in recent days.

Well, this point was raised in relation to the OP's patch, which does
have a couple of simple comparators that look like good candidates for
inlining. There are other really simple comparators around like that -
one that I'm aware of off-hand is the one used to sort
pg_stat_statements entries to find victims. It doesn't have to have
major benefits to be worth undertaking - it only has to be worth the
effort of its original implementation and ongoing maintenance.

 Now a JIT that actually inlined random database functions into qsort
 and optimized the result would be pretty cool. But it doesn't seem
 like it's going to happen tomorrow...

Yeah, that would be extremely cool. I'd guess that the main reason it
isn't going to happen tomorrow is not so much technical, but because
there would be about a dozen controversies involved in integrating an
available, suitable JIT - how does it integrate with the build system,
licensing, choice of implementation language, support on less popular
platforms, how do package managers handle the dependency, can we trust
the developers/steering committee of the JIT (Okay, so I'm really
thinking about LLVM here), and so on. That's just off the top of my
head.

-- 
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PostgreSQL Development, 24x7 Support, Training and Services

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Re: [HACKERS] Double sorting split patch

2011-09-17 Thread Alexander Korotkov
On Fri, Sep 16, 2011 at 3:07 PM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

 That looks awfully complicated. I don't understand how that works. I wonder
 if two passes would be simpler?

I doubt it becomes much simpler, but here it is.

--
With best regards,
Alexander Korotkov.


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Re: [HACKERS] Double sorting split patch

2011-09-17 Thread Heikki Linnakangas

On 17.09.2011 17:36, Alexander Korotkov wrote:

On Fri, Sep 16, 2011 at 3:07 PM, Heikki Linnakangas
heikki.linnakan...@enterprisedb.com  wrote:


That looks awfully complicated. I don't understand how that works. I wonder
if two passes would be simpler?


I doubt it becomes much simpler, but here it is.


Thanks! It does look a lot simpler that way, IMHO. I presume this didn't 
change the performance characteristics?


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Re: [HACKERS] Double sorting split patch

2011-09-17 Thread Alexander Korotkov
On Sat, Sep 17, 2011 at 9:00 PM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

 Thanks! It does look a lot simpler that way, IMHO. I presume this didn't
 change the performance characteristics?

On the tests I provided in the first letter difference seems to be
insignificant.

--
With best regards,
Alexander Korotkov.


Re: [HACKERS] Double sorting split patch

2011-09-17 Thread Peter Geoghegan
On 15 September 2011 19:46, Alexander Korotkov aekorot...@gmail.com wrote:
 Proposed algorithm finds following splits by single pass on two arrays: one
 sorted by lower bound of interval and another sorted by upper bound of
 interval.

Have you considered if further performance improvements could come
from providing a qsort implementation that allows for the inlining of
the comparator? I find it curious that we go to the trouble of
providing a custom qsort implementation in qsort.c, pg_qsort, but
haven't gone one step further and considered inlining effects. Here's
a macro-based inlining implementation:

http://www.corpit.ru/mjt/qsort.html

I wondered in passing if compiler vendors had got around to figuring
out a way of solving the inlining function pointer problem that I
first read about years ago, so I ran this code, which benchmarks the
macro-based qsort above:

http://www.lemoda.net/c/inline-qsort-example/index.html

It's actually C++, but that isn't significant (c stdlib qsort() is
called). When I built this code with GCC 4.5, the results were:

C quick-sort time elapsed: 3.24
Inline C quick-sort time elapsed: 2.01

It looks like this is something that could be revisited.

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Re: [HACKERS] Double sorting split patch

2011-09-17 Thread Greg Stark
On Sat, Sep 17, 2011 at 9:09 PM, Peter Geoghegan pe...@2ndquadrant.com wrote:

 I find it curious that we go to the trouble of
 providing a custom qsort implementation in qsort.c, pg_qsort, but
 haven't gone one step further and considered inlining effects.

I think we provided the qsort implementation for the benefit of
platforms that didn't have a decent one and then ended up switching to
use it always for some reason I don't recall.  It wasn't because we
thought we were better at writing qsort implementations than OS
vendors.

 I wondered in passing if compiler vendors had got around to figuring
 out a way of solving the inlining function pointer problem that I
 first read about years ago, so I ran this code, which benchmarks the
 macro-based qsort above:

You might need -fipa-pta or some other option. Or maybe LLVM would
have a better chance of pulling this off. Compilers are usually pretty
loath to generate specializations for every call site for fear of
bloating the code.

In any case I don't see how you're going to inline random database
functions. Those are the cases where large amounts of data are being
sorted. It's possible we sort small sets of data for internal reasons
very frequently but I don't recall it turning up at the top of the
profiles posted in recent days.

Now a JIT that actually inlined random database functions into qsort
and optimized the result would be pretty cool. But it doesn't seem
like it's going to happen tomorrow...

-- 
greg

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Re: [HACKERS] Double sorting split patch

2011-09-16 Thread Heikki Linnakangas

On 15.09.2011 21:46, Alexander Korotkov wrote:

On Thu, Sep 15, 2011 at 7:27 PM, Heikki Linnakangas
heikki.linnakan...@enterprisedb.com  wrote:


I've looked at the patch, and took a brief look at the paper - but I still
don't understand the algorithm. I just can't get my head around the concepts
of split pairs and left/right groups. Can you explain that in layman's
terms? Perhaps an example would help?


In short algorithm works as following:
1) Each box can be projected to the axis as an interval. Box (x1,y1)-(x2,y2)
are projected to X axis as (x1,x2) interval and to the Y axis as (y1,y2)
interval. At the first step we search for splits of those intervals and
select the best one.
2) At the second step produced split are converting into terms of boxes
and ambiguities are solving.

Let's see a little deeper how intervals split search are performed by
considering an example. We've intervals (0,1), (1,3), (2,3), (2,4). We
assume intervals of the groups to be (0,a), (b,4). So, a can be some upper
bound of interval: {1,3,4}, and b can be some lower bound of inteval:
{0,1,2}.
We consider following splits: each a with greatest possible b
(0,1), (1,4)
(0,3), (2,4)
(0,4), (2,4)
and each b with least possible a. In this example splits will be:
(0,1), (0,4)
(0,1), (1,4)
(0,3), (2,4)
By removing the duplicates we've following splits:
(0,1), (0,4)
(0,1), (1,4)
(0,3), (2,4)
(0,4), (2,4)


Ok, thanks, I understand that now.


Proposed algorithm finds following splits by single pass on two arrays: one
sorted by lower bound of interval and another sorted by upper bound of
interval.


That looks awfully complicated. I don't understand how that works. I 
wonder if two passes would be simpler?


--
  Heikki Linnakangas
  EnterpriseDB   http://www.enterprisedb.com

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Re: [HACKERS] Double sorting split patch

2011-09-15 Thread Heikki Linnakangas

On 11.09.2011 22:30, Alexander Korotkov wrote:

Hackers,

I've got my patch with double sorting picksplit impementation for GiST into
more acceptable form. A little of testing is below. Index creation time is
slightly higher, but search is much faster. The testing datasets were
following:
1) uniform dataset - 10M rows
2) geonames points - 7.6M rows


I've looked at the patch, and took a brief look at the paper - but I 
still don't understand the algorithm. I just can't get my head around 
the concepts of split pairs and left/right groups. Can you explain that 
in layman's terms? Perhaps an example would help?


--
  Heikki Linnakangas
  EnterpriseDB   http://www.enterprisedb.com

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Re: [HACKERS] Double sorting split patch

2011-09-15 Thread Alexander Korotkov
On Thu, Sep 15, 2011 at 7:27 PM, Heikki Linnakangas 
heikki.linnakan...@enterprisedb.com wrote:

 I've looked at the patch, and took a brief look at the paper - but I still
 don't understand the algorithm. I just can't get my head around the concepts
 of split pairs and left/right groups. Can you explain that in layman's
 terms? Perhaps an example would help?


In short algorithm works as following:
1) Each box can be projected to the axis as an interval. Box (x1,y1)-(x2,y2)
are projected to X axis as (x1,x2) interval and to the Y axis as (y1,y2)
interval. At the first step we search for splits of those intervals and
select the best one.
2) At the second step produced split are converting into terms of boxes
and ambiguities are solving.

Let's see a little deeper how intervals split search are performed by
considering an example. We've intervals (0,1), (1,3), (2,3), (2,4). We
assume intervals of the groups to be (0,a), (b,4). So, a can be some upper
bound of interval: {1,3,4}, and b can be some lower bound of inteval:
{0,1,2}.
We consider following splits: each a with greatest possible b
(0,1), (1,4)
(0,3), (2,4)
(0,4), (2,4)
and each b with least possible a. In this example splits will be:
(0,1), (0,4)
(0,1), (1,4)
(0,3), (2,4)
By removing the duplicates we've following splits:
(0,1), (0,4)
(0,1), (1,4)
(0,3), (2,4)
(0,4), (2,4)
Proposed algorithm finds following splits by single pass on two arrays: one
sorted by lower bound of interval and another sorted by upper bound of
interval.

--
With best regards,
Alexander Korotkov.


[HACKERS] Double sorting split patch

2011-09-11 Thread Alexander Korotkov
Hackers,

I've got my patch with double sorting picksplit impementation for GiST into
more acceptable form. A little of testing is below. Index creation time is
slightly higher, but search is much faster. The testing datasets were
following:
1) uniform dataset - 10M rows
2) geonames points - 7.6M rows

test=# create index uniform_new_linear_idx on uniform using gist (point);
CREATE INDEX
Time: 397362,915 ms

test=# explain (analyze, buffers) select * from uniform where point @
box(point(0.5,0.5),point(0.501,0.501));
 QUERY PLAN


-
 Bitmap Heap Scan on uniform  (cost=433.27..25873.19 rows=1 width=16)
(actual time=1.407..1.448
rows=8 loops=1)
   Recheck Cond: (point @ '(0.501,0.501),(0.5,0.5)'::box)
   Buffers: shared hit=39
   -  Bitmap Index Scan on uniform_new_linear_idx  (cost=0.00..430.77
rows=1 width=0) (actual time=1.388..1.388 rows=8 loops=1)
 Index Cond: (point @ '(0.501,0.501),(0.5,0.5)'::box)
 Buffers: shared hit=31
 Total runtime: 1.527 ms
(7 rows)

test=# explain (analyze, buffers) select * from uniform where point @
box(point(0.3,0.4),point(0.301,0.401));
  QUERY PLAN


--
 Bitmap Heap Scan on uniform  (cost=433.27..25873.19 rows=1 width=16)
(actual time=0.715..0.795
rows=15 loops=1)
   Recheck Cond: (point @ '(0.301,0.401),(0.3,0.4)'::box)
   Buffers: shared hit=30
   -  Bitmap Index Scan on uniform_new_linear_idx  (cost=0.00..430.77
rows=1 width=0) (actual time=0.695..0.695 rows=15 loops=1)
 Index Cond: (point @ '(0.301,0.401),(0.3,0.4)'::box)
 Buffers: shared hit=15
 Total runtime: 0.892 ms
(7 rows)

test=# create index uniform_double_sorting_idx on uniform using gist
(point);
CREATE INDEX
Time: 492796,671 ms

test=# explain (analyze, buffers) select * from uniform where point @
box(point(0.5,0.5),point(0.501,0.501));
   QUERY PLAN


-
 Bitmap Heap Scan on uniform  (cost=445.39..25885.31 rows=1 width=16)
(actual time=0.376..0.417
rows=8 loops=1)
   Recheck Cond: (point @ '(0.501,0.501),(0.5,0.5)'::box)
   Buffers: shared hit=15
   -  Bitmap Index Scan on uniform_double_sorting_idx  (cost=0.00..442.89
rows=1 width=0) (actual time=0.357..0.357 rows=8 loops=1)
 Index Cond: (point @ '(0.501,0.501),(0.5,0.5)'::box)
 Buffers: shared hit=7
 Total runtime: 0.490 ms
(7 rows)

test=# explain (analyze, buffers) select * from uniform where point @
box(point(0.3,0.4),point(0.301,0.401));
QUERY PLAN


--
 Bitmap Heap Scan on uniform  (cost=445.39..25885.31 rows=1 width=16)
(actual time=0.189..0.270
rows=15 loops=1)
   Recheck Cond: (point @ '(0.301,0.401),(0.3,0.4)'::box)
   Buffers: shared hit=19
   -  Bitmap Index Scan on uniform_double_sorting_idx  (cost=0.00..442.89
rows=1 width=0) (actual time=0.168..0.168 rows=15 loops=1)
 Index Cond: (point @ '(0.301,0.401),(0.3,0.4)'::box)
 Buffers: shared hit=4
 Total runtime: 0.358 ms
(7 rows)

test=# create index geonames_new_linear_idx on geonames using gist (point);
CREATE INDEX
Time: 279922,518 ms


test=# explain (analyze, buffers) select * from geonames where point @
box(point(34.4671,126.631),point(34.5023,126.667));
  QUERY PLAN


--
 Bitmap Heap Scan on geonames  (cost=341.98..19686.88 rows=7604 width=16)
(actual time=0.905..0.948
rows=11 loops=1)
   Recheck Cond: (point @ '(34.5023,126.667),(34.4671,126.631)'::box)
   Buffers: shared hit=25
   -  Bitmap Index Scan on geonames_new_linear_idx  (cost=0.00..340.07
rows=7604 width=0) (actual time=0.889..0.889 rows=11 loops=1)
 Index Cond: (point @ '(34.5023,126.667),(34.4671,126.631)'::box)
 Buffers: shared hit=20
 Total runtime: 1.029 ms
(7 rows)

test=# explain (analyze, buffers) select * from geonames where point @
box(point(46.1384,-104.72), point(46.2088,-104.65));
  QUERY PLAN


--
 Bitmap Heap Scan on geonames  (cost=341.98..19686.88 rows=7604