mirror of
https://git.postgresql.org/git/postgresql.git
synced 2024-12-03 08:00:21 +08:00
16f85390f2
Oleg Bartunov and Teodor Sigaev.
702 lines
19 KiB
C
702 lines
19 KiB
C
/*-------------------------------------------------------------------------
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*
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* rtree_gist.c
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* pg_amproc entries for GiSTs over 2-D boxes.
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* This gives R-tree behavior, with Guttman's poly-time split algorithm.
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*
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*
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*
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* IDENTIFICATION
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* $Header: /cvsroot/pgsql/contrib/rtree_gist/Attic/rtree_gist.c,v 1.1 2001/05/31 18:27:18 tgl Exp $
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*
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*-------------------------------------------------------------------------
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*/
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#include "postgres.h"
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#include "access/gist.h"
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#include "access/itup.h"
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#include "access/rtree.h"
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#include "utils/palloc.h"
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#include "utils/geo_decls.h"
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#include "utils/elog.h"
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typedef Datum (*RDF)(PG_FUNCTION_ARGS);
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typedef Datum (*BINARY_UNION)(Datum, Datum, int*);
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typedef float (*SIZE_BOX)(Datum);
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/*
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** Workaround for index_formtuple
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*/
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typedef struct polykey {
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int32 size; /* size in varlena terms */
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BOX key;
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} POLYKEY;
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/*
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** box ops
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*/
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PG_FUNCTION_INFO_V1(gbox_compress);
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PG_FUNCTION_INFO_V1(gbox_union);
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PG_FUNCTION_INFO_V1(gbox_picksplit);
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PG_FUNCTION_INFO_V1(gbox_consistent);
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PG_FUNCTION_INFO_V1(gbox_penalty);
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PG_FUNCTION_INFO_V1(gbox_same);
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GISTENTRY * gbox_compress(PG_FUNCTION_ARGS);
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BOX *gbox_union(PG_FUNCTION_ARGS);
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GIST_SPLITVEC * gbox_picksplit(PG_FUNCTION_ARGS);
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bool gbox_consistent(PG_FUNCTION_ARGS);
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float * gbox_penalty(PG_FUNCTION_ARGS);
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bool * gbox_same(PG_FUNCTION_ARGS);
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static Datum gbox_binary_union(Datum r1, Datum r2, int *sizep);
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static bool gbox_leaf_consistent(BOX *key, BOX *query, StrategyNumber strategy);
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static float size_box( Datum box );
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/*
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** Polygon ops
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*/
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PG_FUNCTION_INFO_V1(gpoly_compress);
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PG_FUNCTION_INFO_V1(gpoly_union);
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PG_FUNCTION_INFO_V1(gpoly_picksplit);
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PG_FUNCTION_INFO_V1(gpoly_consistent);
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PG_FUNCTION_INFO_V1(gpoly_penalty);
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PG_FUNCTION_INFO_V1(gpoly_same);
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GISTENTRY * gpoly_compress(PG_FUNCTION_ARGS);
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POLYKEY *gpoly_union(PG_FUNCTION_ARGS);
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GIST_SPLITVEC * gpoly_picksplit(PG_FUNCTION_ARGS);
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bool gpoly_consistent(PG_FUNCTION_ARGS);
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float * gpoly_penalty(PG_FUNCTION_ARGS);
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bool * gpoly_same(PG_FUNCTION_ARGS);
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static Datum gpoly_binary_union(Datum r1, Datum r2, int *sizep);
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static float size_polykey( Datum pk );
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PG_FUNCTION_INFO_V1(gpoly_inter);
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Datum gpoly_inter(PG_FUNCTION_ARGS);
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/*
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** Common rtree-function (for all ops)
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*/
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static Datum rtree_union(bytea *entryvec, int *sizep, BINARY_UNION bu);
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static float * rtree_penalty(GISTENTRY *origentry, GISTENTRY *newentry,
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float *result, BINARY_UNION bu, SIZE_BOX sb);
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static GIST_SPLITVEC * rtree_picksplit(bytea *entryvec, GIST_SPLITVEC *v,
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int keylen, BINARY_UNION bu, RDF interop, SIZE_BOX sb);
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static bool rtree_internal_consistent(BOX *key, BOX *query, StrategyNumber strategy);
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PG_FUNCTION_INFO_V1(rtree_decompress);
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GISTENTRY * rtree_decompress(PG_FUNCTION_ARGS);
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/**************************************************
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* Box ops
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**************************************************/
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/*
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** The GiST Consistent method for boxes
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** Should return false if for all data items x below entry,
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** the predicate x op query == FALSE, where op is the oper
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** corresponding to strategy in the pg_amop table.
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*/
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bool
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gbox_consistent(PG_FUNCTION_ARGS)
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{
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GISTENTRY *entry = (GISTENTRY*) PG_GETARG_POINTER(0);
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BOX *query = (BOX*) PG_GETARG_POINTER(1);
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StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
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/*
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** if entry is not leaf, use gbox_internal_consistent,
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** else use gbox_leaf_consistent
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*/
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if ( ! (DatumGetPointer(entry->key) != NULL && query) )
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return FALSE;
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if (GIST_LEAF(entry))
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PG_RETURN_BOOL(gbox_leaf_consistent((BOX *) DatumGetPointer(entry->key), query, strategy));
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else
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PG_RETURN_BOOL(rtree_internal_consistent((BOX *) DatumGetPointer(entry->key), query, strategy));
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}
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/*
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** The GiST Union method for boxes
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** returns the minimal bounding box that encloses all the entries in entryvec
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*/
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BOX *
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gbox_union(PG_FUNCTION_ARGS)
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{
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return (BOX*)
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DatumGetPointer(rtree_union(
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(bytea*) PG_GETARG_POINTER(0),
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(int*) PG_GETARG_POINTER(1),
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gbox_binary_union
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));
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}
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/*
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** GiST Compress methods for boxes
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** do not do anything.
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*/
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GISTENTRY *
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gbox_compress(PG_FUNCTION_ARGS)
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{
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return((GISTENTRY*)PG_GETARG_POINTER(0));
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}
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/*
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** The GiST Penalty method for boxes
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** As in the R-tree paper, we use change in area as our penalty metric
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*/
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float *
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gbox_penalty(PG_FUNCTION_ARGS)
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{
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return rtree_penalty(
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(GISTENTRY*) PG_GETARG_POINTER(0),
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(GISTENTRY*) PG_GETARG_POINTER(1),
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(float*) PG_GETARG_POINTER(2),
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gbox_binary_union,
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size_box
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);
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}
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/*
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** The GiST PickSplit method for boxes
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** We use Guttman's poly time split algorithm
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*/
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GIST_SPLITVEC *
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gbox_picksplit(PG_FUNCTION_ARGS)
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{
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return rtree_picksplit(
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(bytea*)PG_GETARG_POINTER(0),
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(GIST_SPLITVEC*)PG_GETARG_POINTER(1),
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sizeof(BOX),
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gbox_binary_union,
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rt_box_inter,
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size_box
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);
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}
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/*
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** Equality method
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*/
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bool *
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gbox_same(PG_FUNCTION_ARGS)
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{
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BOX *b1 = (BOX*) PG_GETARG_POINTER(0);
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BOX *b2 = (BOX*) PG_GETARG_POINTER(1);
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bool *result = (bool*) PG_GETARG_POINTER(2);
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if ( b1 && b2 )
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*result = DatumGetBool( DirectFunctionCall2( box_same, PointerGetDatum(b1), PointerGetDatum(b2)) );
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else
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*result = ( b1==NULL && b2==NULL ) ? TRUE : FALSE;
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return(result);
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}
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/*
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** SUPPORT ROUTINES for boxes
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*/
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static bool
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gbox_leaf_consistent(BOX *key,
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BOX *query,
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StrategyNumber strategy)
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{
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bool retval;
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switch(strategy) {
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case RTLeftStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_left, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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case RTOverLeftStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_overleft, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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case RTOverlapStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_overlap, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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case RTOverRightStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_overright, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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case RTRightStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_right, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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case RTSameStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_same, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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case RTContainsStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_contain, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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case RTContainedByStrategyNumber:
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retval = DatumGetBool( DirectFunctionCall2( box_contained, PointerGetDatum(key), PointerGetDatum(query) ) );
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break;
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default:
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retval = FALSE;
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}
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return(retval);
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}
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static Datum
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gbox_binary_union(Datum r1, Datum r2, int *sizep)
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{
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BOX *retval;
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if ( ! (DatumGetPointer(r1) != NULL && DatumGetPointer(r2) != NULL) ) {
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if ( DatumGetPointer(r1) != NULL ) {
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retval = (BOX*) palloc( sizeof(BOX) );
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memcpy( retval, DatumGetPointer(r1), sizeof(BOX) );
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*sizep = sizeof(BOX);
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} else if ( DatumGetPointer(r2) != NULL ) {
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retval = (BOX*) palloc( sizeof(BOX) );
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memcpy( retval, DatumGetPointer(r2), sizeof(BOX) );
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*sizep = sizeof(BOX);
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} else {
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*sizep = 0;
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retval = NULL;
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}
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} else {
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retval = (BOX*) DatumGetPointer(
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DirectFunctionCall2(rt_box_union, r1, r2));
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*sizep = sizeof(BOX);
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}
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return PointerGetDatum(retval);
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}
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static float
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size_box( Datum box ) {
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if ( DatumGetPointer(box) != NULL ) {
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float size;
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DirectFunctionCall2( rt_box_size,
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box, PointerGetDatum( &size ) );
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return size;
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} else
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return 0.0;
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}
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/**************************************************
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* Polygon ops
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**************************************************/
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GISTENTRY *
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gpoly_compress(PG_FUNCTION_ARGS)
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{
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GISTENTRY *entry=(GISTENTRY*)PG_GETARG_POINTER(0);
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GISTENTRY *retval;
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if ( entry->leafkey) {
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retval = palloc(sizeof(GISTENTRY));
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if ( DatumGetPointer(entry->key) != NULL ) {
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POLYGON *in;
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POLYKEY *r;
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in = (POLYGON *) PG_DETOAST_DATUM(entry->key);
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r = (POLYKEY *) palloc( sizeof(POLYKEY) );
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r->size = sizeof(POLYKEY);
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memcpy( (void*)&(r->key), (void*)&(in->boundbox), sizeof(BOX) );
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if ( in != (POLYGON *) DatumGetPointer(entry->key) )
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pfree( in );
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gistentryinit(*retval, PointerGetDatum(r),
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entry->rel, entry->page,
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entry->offset, sizeof(POLYKEY), FALSE);
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} else {
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gistentryinit(*retval, (Datum) 0,
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entry->rel, entry->page,
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entry->offset, 0,FALSE);
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}
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} else {
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retval = entry;
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}
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return( retval );
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}
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bool
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gpoly_consistent(PG_FUNCTION_ARGS)
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{
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GISTENTRY *entry = (GISTENTRY*) PG_GETARG_POINTER(0);
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POLYGON *query = (POLYGON*)PG_DETOAST_DATUM( PG_GETARG_POINTER(1) );
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StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
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bool result;
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/*
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** if entry is not leaf, use gbox_internal_consistent,
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** else use gbox_leaf_consistent
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*/
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if ( ! (DatumGetPointer(entry->key) != NULL && query) )
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return FALSE;
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result = rtree_internal_consistent((BOX*)&( ((POLYKEY *) DatumGetPointer(entry->key))->key ),
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&(query->boundbox), strategy);
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PG_FREE_IF_COPY(query,1);
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PG_RETURN_BOOL( result );
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}
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POLYKEY *
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gpoly_union(PG_FUNCTION_ARGS)
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{
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return (POLYKEY*)
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DatumGetPointer(rtree_union(
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(bytea*) PG_GETARG_POINTER(0),
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(int*) PG_GETARG_POINTER(1),
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gpoly_binary_union
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));
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}
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float *
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gpoly_penalty(PG_FUNCTION_ARGS)
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{
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return rtree_penalty(
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(GISTENTRY*) PG_GETARG_POINTER(0),
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(GISTENTRY*) PG_GETARG_POINTER(1),
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(float*) PG_GETARG_POINTER(2),
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gpoly_binary_union,
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size_polykey
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);
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}
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GIST_SPLITVEC *
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gpoly_picksplit(PG_FUNCTION_ARGS)
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{
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return rtree_picksplit(
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(bytea*)PG_GETARG_POINTER(0),
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(GIST_SPLITVEC*)PG_GETARG_POINTER(1),
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sizeof(POLYKEY),
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gpoly_binary_union,
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gpoly_inter,
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size_polykey
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);
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}
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bool *
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gpoly_same(PG_FUNCTION_ARGS)
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{
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POLYKEY *b1 = (POLYKEY*) PG_GETARG_POINTER(0);
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POLYKEY *b2 = (POLYKEY*) PG_GETARG_POINTER(1);
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bool *result = (bool*) PG_GETARG_POINTER(2);
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if ( b1 && b2 )
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*result = DatumGetBool( DirectFunctionCall2( box_same,
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PointerGetDatum(&(b1->key)),
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PointerGetDatum(&(b2->key))) );
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else
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*result = ( b1==NULL && b2==NULL ) ? TRUE : FALSE;
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return(result);
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}
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/*
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** SUPPORT ROUTINES for polygons
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*/
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Datum
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gpoly_inter(PG_FUNCTION_ARGS)
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{
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POLYKEY *b1 = (POLYKEY*) PG_GETARG_POINTER(0);
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POLYKEY *b2 = (POLYKEY*) PG_GETARG_POINTER(1);
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Datum interd;
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interd = DirectFunctionCall2(rt_box_inter,
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PointerGetDatum( &(b1->key) ),
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PointerGetDatum( &(b2->key) ));
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if (DatumGetPointer(interd) != NULL) {
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POLYKEY *tmp = (POLYKEY*) palloc( sizeof(POLYKEY) );
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tmp->size = sizeof(POLYKEY);
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memcpy( &(tmp->key), DatumGetPointer(interd), sizeof(BOX) );
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pfree( DatumGetPointer(interd) );
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PG_RETURN_POINTER( tmp );
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} else
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PG_RETURN_POINTER( NULL );
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}
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static Datum
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gpoly_binary_union(Datum r1, Datum r2, int *sizep)
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{
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POLYKEY *retval;
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if ( ! (DatumGetPointer(r1) != NULL && DatumGetPointer(r2) != NULL) ) {
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if ( DatumGetPointer(r1) != NULL ) {
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retval = (POLYKEY*)palloc( sizeof(POLYKEY) );
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memcpy( (void*)retval, DatumGetPointer(r1), sizeof(POLYKEY) );
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*sizep = sizeof(POLYKEY);
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} else if ( DatumGetPointer(r2) != NULL ) {
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retval = (POLYKEY*)palloc( sizeof(POLYKEY) );
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memcpy( (void*)retval, DatumGetPointer(r2), sizeof(POLYKEY) );
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*sizep = sizeof(POLYKEY);
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} else {
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*sizep = 0;
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retval = NULL;
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}
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} else {
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BOX *key = (BOX*)DatumGetPointer(
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DirectFunctionCall2(
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rt_box_union,
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PointerGetDatum( &(((POLYKEY*) DatumGetPointer(r1))->key) ),
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PointerGetDatum( &(((POLYKEY*) DatumGetPointer(r2))->key) )) );
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retval = (POLYKEY*)palloc( sizeof(POLYKEY) );
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memcpy( &(retval->key), key, sizeof(BOX) );
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pfree( key );
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*sizep = retval->size = sizeof(POLYKEY);
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}
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return PointerGetDatum(retval);
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}
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static float
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size_polykey( Datum pk ) {
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if ( DatumGetPointer(pk) != NULL ) {
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float size;
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DirectFunctionCall2( rt_box_size,
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PointerGetDatum( &(((POLYKEY*) DatumGetPointer(pk))->key) ),
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PointerGetDatum( &size ) );
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return size;
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} else
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return 0.0;
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}
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/*
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** Common rtree-function (for all ops)
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*/
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static Datum
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rtree_union(bytea *entryvec, int *sizep, BINARY_UNION bu)
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{
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int numranges, i;
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Datum out,
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tmp;
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numranges = (VARSIZE(entryvec) - VARHDRSZ)/sizeof(GISTENTRY);
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tmp = ((GISTENTRY *) VARDATA(entryvec))[0].key;
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out = (Datum) 0;
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for (i = 1; i < numranges; i++) {
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out = (*bu)(tmp,
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((GISTENTRY *) VARDATA(entryvec))[i].key,
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sizep);
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if (i > 1 && DatumGetPointer(tmp) != NULL)
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pfree(DatumGetPointer(tmp));
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tmp = out;
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}
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return(out);
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}
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static float *
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rtree_penalty(GISTENTRY *origentry, GISTENTRY *newentry, float *result, BINARY_UNION bu, SIZE_BOX sb)
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{
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Datum ud;
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float tmp1;
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int sizep;
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ud = (*bu)( origentry->key, newentry->key, &sizep );
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tmp1 = (*sb)( ud );
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if (DatumGetPointer(ud) != NULL) pfree(DatumGetPointer(ud));
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*result = tmp1 - (*sb)( origentry->key );
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return(result);
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}
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/*
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** The GiST PickSplit method
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** We use Guttman's poly time split algorithm
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*/
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static GIST_SPLITVEC *
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rtree_picksplit(bytea *entryvec, GIST_SPLITVEC *v, int keylen, BINARY_UNION bu, RDF interop, SIZE_BOX sb)
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{
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OffsetNumber i, j;
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Datum datum_alpha, datum_beta;
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Datum datum_l, datum_r;
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Datum union_d, union_dl, union_dr;
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Datum inter_d;
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bool firsttime;
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float size_alpha, size_beta, size_union, size_inter;
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float size_waste, waste;
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float size_l, size_r;
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int nbytes;
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int sizep;
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OffsetNumber seed_1 = 0, seed_2 = 0;
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OffsetNumber *left, *right;
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OffsetNumber maxoff;
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|
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maxoff = ((VARSIZE(entryvec) - VARHDRSZ)/sizeof(GISTENTRY)) - 2;
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nbytes = (maxoff + 2) * sizeof(OffsetNumber);
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v->spl_left = (OffsetNumber *) palloc(nbytes);
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v->spl_right = (OffsetNumber *) palloc(nbytes);
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firsttime = true;
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waste = 0.0;
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for (i = FirstOffsetNumber; i < maxoff; i = OffsetNumberNext(i)) {
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datum_alpha = ((GISTENTRY *) VARDATA(entryvec))[i].key;
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for (j = OffsetNumberNext(i); j <= maxoff; j = OffsetNumberNext(j)) {
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datum_beta = ((GISTENTRY *) VARDATA(entryvec))[j].key;
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|
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/* compute the wasted space by unioning these guys */
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/* size_waste = size_union - size_inter; */
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union_d = (*bu)( datum_alpha, datum_beta, &sizep );
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if ( DatumGetPointer(union_d) != NULL ) {
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size_union = (*sb)(union_d);
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pfree(DatumGetPointer(union_d));
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} else
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size_union = 0.0;
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|
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if ( DatumGetPointer(datum_alpha) != NULL &&
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DatumGetPointer(datum_beta) != NULL ) {
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inter_d = DirectFunctionCall2(interop,
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datum_alpha,
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datum_beta);
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if ( DatumGetPointer(inter_d) != NULL ) {
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size_inter = (*sb)(inter_d);
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pfree(DatumGetPointer(inter_d));
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} else
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size_inter = 0.0;
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} else
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size_inter = 0.0;
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|
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size_waste = size_union - size_inter;
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|
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/*
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* are these a more promising split that what we've
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* already seen?
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*/
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|
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if (size_waste > waste || firsttime) {
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waste = size_waste;
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seed_1 = i;
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seed_2 = j;
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firsttime = false;
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}
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}
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}
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|
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left = v->spl_left;
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v->spl_nleft = 0;
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right = v->spl_right;
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v->spl_nright = 0;
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|
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if ( DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[seed_1].key) != NULL )
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{
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datum_l = PointerGetDatum(palloc( keylen ));
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memcpy(DatumGetPointer(datum_l),
|
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DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[seed_1].key),
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keylen);
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} else
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datum_l = (Datum) 0;
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size_l = (*sb)( datum_l );
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if ( DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[seed_2].key) != NULL )
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|
{
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|
datum_r = PointerGetDatum(palloc( keylen ));
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|
memcpy(DatumGetPointer(datum_r),
|
|
DatumGetPointer(((GISTENTRY *) VARDATA(entryvec))[seed_2].key),
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keylen);
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} else
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|
datum_r = (Datum) 0;
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size_r = (*sb)( datum_r );
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|
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|
/*
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|
* Now split up the regions between the two seeds. An important
|
|
* property of this split algorithm is that the split vector v
|
|
* has the indices of items to be split in order in its left and
|
|
* right vectors. We exploit this property by doing a merge in
|
|
* the code that actually splits the page.
|
|
*
|
|
* For efficiency, we also place the new index tuple in this loop.
|
|
* This is handled at the very end, when we have placed all the
|
|
* existing tuples and i == maxoff + 1.
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|
*/
|
|
|
|
maxoff = OffsetNumberNext(maxoff);
|
|
for (i = FirstOffsetNumber; i <= maxoff; i = OffsetNumberNext(i)) {
|
|
|
|
/*
|
|
* If we've already decided where to place this item, just
|
|
* put it on the right list. Otherwise, we need to figure
|
|
* out which page needs the least enlargement in order to
|
|
* store the item.
|
|
*/
|
|
|
|
if (i == seed_1) {
|
|
*left++ = i;
|
|
v->spl_nleft++;
|
|
continue;
|
|
} else if (i == seed_2) {
|
|
*right++ = i;
|
|
v->spl_nright++;
|
|
continue;
|
|
}
|
|
|
|
/* okay, which page needs least enlargement? */
|
|
datum_alpha = ((GISTENTRY *) VARDATA(entryvec))[i].key;
|
|
union_dl = (*bu)( datum_l, datum_alpha, &sizep );
|
|
union_dr = (*bu)( datum_r, datum_alpha, &sizep );
|
|
size_alpha = (*sb)( union_dl );
|
|
size_beta = (*sb)( union_dr );
|
|
|
|
/* pick which page to add it to */
|
|
if (size_alpha - size_l < size_beta - size_r) {
|
|
pfree(DatumGetPointer(datum_l));
|
|
pfree(DatumGetPointer(union_dr));
|
|
datum_l = union_dl;
|
|
size_l = size_alpha;
|
|
*left++ = i;
|
|
v->spl_nleft++;
|
|
} else {
|
|
pfree(DatumGetPointer(datum_r));
|
|
pfree(DatumGetPointer(union_dl));
|
|
datum_r = union_dr;
|
|
size_r = size_alpha;
|
|
*right++ = i;
|
|
v->spl_nright++;
|
|
}
|
|
}
|
|
*left = *right = FirstOffsetNumber; /* sentinel value, see dosplit() */
|
|
|
|
v->spl_ldatum = datum_l;
|
|
v->spl_rdatum = datum_r;
|
|
|
|
return( v );
|
|
}
|
|
|
|
static bool
|
|
rtree_internal_consistent(BOX *key,
|
|
BOX *query,
|
|
StrategyNumber strategy)
|
|
{
|
|
bool retval;
|
|
|
|
switch(strategy) {
|
|
case RTLeftStrategyNumber:
|
|
case RTOverLeftStrategyNumber:
|
|
retval = DatumGetBool( DirectFunctionCall2( box_overleft, PointerGetDatum(key), PointerGetDatum(query) ) );
|
|
break;
|
|
case RTOverlapStrategyNumber:
|
|
retval = DatumGetBool( DirectFunctionCall2( box_overlap, PointerGetDatum(key), PointerGetDatum(query) ) );
|
|
break;
|
|
case RTOverRightStrategyNumber:
|
|
case RTRightStrategyNumber:
|
|
retval = DatumGetBool( DirectFunctionCall2( box_right, PointerGetDatum(key), PointerGetDatum(query) ) );
|
|
break;
|
|
case RTSameStrategyNumber:
|
|
case RTContainsStrategyNumber:
|
|
retval = DatumGetBool( DirectFunctionCall2( box_contain, PointerGetDatum(key), PointerGetDatum(query) ) );
|
|
break;
|
|
case RTContainedByStrategyNumber:
|
|
retval = DatumGetBool( DirectFunctionCall2( box_overlap, PointerGetDatum(key), PointerGetDatum(query) ) );
|
|
break;
|
|
default:
|
|
retval = FALSE;
|
|
}
|
|
return(retval);
|
|
}
|
|
|
|
/*
|
|
** GiST DeCompress methods
|
|
** do not do anything.
|
|
*/
|
|
GISTENTRY *
|
|
rtree_decompress(PG_FUNCTION_ARGS)
|
|
{
|
|
return((GISTENTRY*)PG_GETARG_POINTER(0));
|
|
}
|