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If the lower left and upper right corners of a cube are the same, set a flag in the cube header, and only store one copy of the coordinates. That cuts the on-disk size into half for the common case that the cube datatype is used to represent points rather than boxes. The new format is backwards-compatible with the old one, so pg_upgrade still works. However, to get the space savings, the data needs to be rewritten. A simple VACUUM FULL or REINDEX is not enough, as the old Datums will just be moved to the new heap/index as is. A pg_dump and reload, or something similar like casting to text and back, will do the trick. This patch deliberately doesn't update all the alternative expected output files, as I don't have access to machines that produce those outputs. I'm not sure if they are still relevant, but if they are, the buildfarm will tell us and produce the diff required to fix it. If none of the buildfarm animals need them, they should be removed altogether. Patch by Stas Kelvich.
1592 lines
33 KiB
C
1592 lines
33 KiB
C
/******************************************************************************
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contrib/cube/cube.c
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This file contains routines that can be bound to a Postgres backend and
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called by the backend in the process of processing queries. The calling
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format for these routines is dictated by Postgres architecture.
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******************************************************************************/
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#include "postgres.h"
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#include <float.h>
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#include <math.h>
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#include "access/gist.h"
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#include "access/skey.h"
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#include "utils/array.h"
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#include "utils/builtins.h"
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#include "cubedata.h"
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PG_MODULE_MAGIC;
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/*
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* Taken from the intarray contrib header
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*/
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#define ARRPTR(x) ( (double *) ARR_DATA_PTR(x) )
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#define ARRNELEMS(x) ArrayGetNItems( ARR_NDIM(x), ARR_DIMS(x))
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extern int cube_yyparse(NDBOX **result);
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extern void cube_yyerror(NDBOX **result, const char *message);
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extern void cube_scanner_init(const char *str);
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extern void cube_scanner_finish(void);
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/*
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** Input/Output routines
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*/
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PG_FUNCTION_INFO_V1(cube_in);
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PG_FUNCTION_INFO_V1(cube_a_f8_f8);
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PG_FUNCTION_INFO_V1(cube_a_f8);
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PG_FUNCTION_INFO_V1(cube_out);
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PG_FUNCTION_INFO_V1(cube_f8);
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PG_FUNCTION_INFO_V1(cube_f8_f8);
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PG_FUNCTION_INFO_V1(cube_c_f8);
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PG_FUNCTION_INFO_V1(cube_c_f8_f8);
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PG_FUNCTION_INFO_V1(cube_dim);
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PG_FUNCTION_INFO_V1(cube_ll_coord);
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PG_FUNCTION_INFO_V1(cube_ur_coord);
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PG_FUNCTION_INFO_V1(cube_subset);
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Datum cube_in(PG_FUNCTION_ARGS);
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Datum cube_a_f8_f8(PG_FUNCTION_ARGS);
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Datum cube_a_f8(PG_FUNCTION_ARGS);
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Datum cube_out(PG_FUNCTION_ARGS);
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Datum cube_f8(PG_FUNCTION_ARGS);
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Datum cube_f8_f8(PG_FUNCTION_ARGS);
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Datum cube_c_f8(PG_FUNCTION_ARGS);
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Datum cube_c_f8_f8(PG_FUNCTION_ARGS);
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Datum cube_dim(PG_FUNCTION_ARGS);
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Datum cube_ll_coord(PG_FUNCTION_ARGS);
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Datum cube_ur_coord(PG_FUNCTION_ARGS);
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Datum cube_subset(PG_FUNCTION_ARGS);
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/*
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** GiST support methods
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*/
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PG_FUNCTION_INFO_V1(g_cube_consistent);
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PG_FUNCTION_INFO_V1(g_cube_compress);
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PG_FUNCTION_INFO_V1(g_cube_decompress);
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PG_FUNCTION_INFO_V1(g_cube_penalty);
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PG_FUNCTION_INFO_V1(g_cube_picksplit);
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PG_FUNCTION_INFO_V1(g_cube_union);
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PG_FUNCTION_INFO_V1(g_cube_same);
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Datum g_cube_consistent(PG_FUNCTION_ARGS);
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Datum g_cube_compress(PG_FUNCTION_ARGS);
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Datum g_cube_decompress(PG_FUNCTION_ARGS);
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Datum g_cube_penalty(PG_FUNCTION_ARGS);
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Datum g_cube_picksplit(PG_FUNCTION_ARGS);
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Datum g_cube_union(PG_FUNCTION_ARGS);
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Datum g_cube_same(PG_FUNCTION_ARGS);
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/*
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** B-tree support functions
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*/
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PG_FUNCTION_INFO_V1(cube_eq);
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PG_FUNCTION_INFO_V1(cube_ne);
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PG_FUNCTION_INFO_V1(cube_lt);
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PG_FUNCTION_INFO_V1(cube_gt);
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PG_FUNCTION_INFO_V1(cube_le);
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PG_FUNCTION_INFO_V1(cube_ge);
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PG_FUNCTION_INFO_V1(cube_cmp);
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Datum cube_eq(PG_FUNCTION_ARGS);
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Datum cube_ne(PG_FUNCTION_ARGS);
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Datum cube_lt(PG_FUNCTION_ARGS);
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Datum cube_gt(PG_FUNCTION_ARGS);
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Datum cube_le(PG_FUNCTION_ARGS);
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Datum cube_ge(PG_FUNCTION_ARGS);
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Datum cube_cmp(PG_FUNCTION_ARGS);
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/*
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** R-tree support functions
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*/
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PG_FUNCTION_INFO_V1(cube_contains);
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PG_FUNCTION_INFO_V1(cube_contained);
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PG_FUNCTION_INFO_V1(cube_overlap);
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PG_FUNCTION_INFO_V1(cube_union);
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PG_FUNCTION_INFO_V1(cube_inter);
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PG_FUNCTION_INFO_V1(cube_size);
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Datum cube_contains(PG_FUNCTION_ARGS);
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Datum cube_contained(PG_FUNCTION_ARGS);
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Datum cube_overlap(PG_FUNCTION_ARGS);
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Datum cube_union(PG_FUNCTION_ARGS);
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Datum cube_inter(PG_FUNCTION_ARGS);
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Datum cube_size(PG_FUNCTION_ARGS);
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/*
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** miscellaneous
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*/
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PG_FUNCTION_INFO_V1(cube_distance);
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PG_FUNCTION_INFO_V1(cube_is_point);
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PG_FUNCTION_INFO_V1(cube_enlarge);
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Datum cube_distance(PG_FUNCTION_ARGS);
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Datum cube_is_point(PG_FUNCTION_ARGS);
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Datum cube_enlarge(PG_FUNCTION_ARGS);
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/*
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** For internal use only
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*/
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int32 cube_cmp_v0(NDBOX *a, NDBOX *b);
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bool cube_contains_v0(NDBOX *a, NDBOX *b);
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bool cube_overlap_v0(NDBOX *a, NDBOX *b);
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NDBOX *cube_union_v0(NDBOX *a, NDBOX *b);
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void rt_cube_size(NDBOX *a, double *sz);
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NDBOX *g_cube_binary_union(NDBOX *r1, NDBOX *r2, int *sizep);
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bool g_cube_leaf_consistent(NDBOX *key, NDBOX *query, StrategyNumber strategy);
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bool g_cube_internal_consistent(NDBOX *key, NDBOX *query, StrategyNumber strategy);
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/*
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** Auxiliary funxtions
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*/
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static double distance_1D(double a1, double a2, double b1, double b2);
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static bool cube_is_point_internal(NDBOX *cube);
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/*****************************************************************************
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* Input/Output functions
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*****************************************************************************/
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/* NdBox = [(lowerleft),(upperright)] */
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/* [(xLL(1)...xLL(N)),(xUR(1)...xUR(n))] */
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Datum
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cube_in(PG_FUNCTION_ARGS)
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{
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char *str = PG_GETARG_CSTRING(0);
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NDBOX *result;
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cube_scanner_init(str);
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if (cube_yyparse(&result) != 0)
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cube_yyerror(&result, "bogus input");
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cube_scanner_finish();
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PG_RETURN_NDBOX(result);
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}
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/*
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** Allows the construction of a cube from 2 float[]'s
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*/
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Datum
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cube_a_f8_f8(PG_FUNCTION_ARGS)
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{
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ArrayType *ur = PG_GETARG_ARRAYTYPE_P(0);
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ArrayType *ll = PG_GETARG_ARRAYTYPE_P(1);
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NDBOX *result;
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int i;
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int dim;
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int size;
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bool point;
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double *dur,
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*dll;
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if (array_contains_nulls(ur) || array_contains_nulls(ll))
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ereport(ERROR,
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(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
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errmsg("cannot work with arrays containing NULLs")));
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dim = ARRNELEMS(ur);
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if (ARRNELEMS(ll) != dim)
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ereport(ERROR,
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(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
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errmsg("UR and LL arrays must be of same length")));
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dur = ARRPTR(ur);
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dll = ARRPTR(ll);
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/* Check if it's a point */
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point = true;
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for (i = 0; i < dim; i++)
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{
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if (dur[i] != dll[i])
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{
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point = false;
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break;
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}
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}
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size = point ? POINT_SIZE(dim) : CUBE_SIZE(dim);
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result = (NDBOX *) palloc0(size);
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SET_VARSIZE(result, size);
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SET_DIM(result, dim);
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for (i = 0; i < dim; i++)
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result->x[i] = dur[i];
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if (!point)
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{
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for (i = 0; i < dim; i++)
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result->x[i + dim] = dll[i];
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}
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else
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SET_POINT_BIT(result);
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PG_RETURN_NDBOX(result);
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}
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/*
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** Allows the construction of a zero-volume cube from a float[]
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*/
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Datum
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cube_a_f8(PG_FUNCTION_ARGS)
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{
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ArrayType *ur = PG_GETARG_ARRAYTYPE_P(0);
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NDBOX *result;
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int i;
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int dim;
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int size;
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double *dur;
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if (array_contains_nulls(ur))
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ereport(ERROR,
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(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
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errmsg("cannot work with arrays containing NULLs")));
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dim = ARRNELEMS(ur);
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dur = ARRPTR(ur);
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size = POINT_SIZE(dim);
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result = (NDBOX *) palloc0(size);
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SET_VARSIZE(result, size);
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SET_DIM(result, dim);
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SET_POINT_BIT(result);
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for (i = 0; i < dim; i++)
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result->x[i] = dur[i];
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PG_RETURN_NDBOX(result);
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}
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Datum
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cube_subset(PG_FUNCTION_ARGS)
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{
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NDBOX *c = PG_GETARG_NDBOX(0);
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ArrayType *idx = PG_GETARG_ARRAYTYPE_P(1);
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NDBOX *result;
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int size,
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dim,
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i;
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int *dx;
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if (array_contains_nulls(idx))
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ereport(ERROR,
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(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
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errmsg("cannot work with arrays containing NULLs")));
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dx = (int32 *) ARR_DATA_PTR(idx);
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dim = ARRNELEMS(idx);
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size = IS_POINT(c) ? POINT_SIZE(dim) : CUBE_SIZE(dim);
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result = (NDBOX *) palloc0(size);
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SET_VARSIZE(result, size);
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SET_DIM(result, dim);
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if (IS_POINT(c))
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SET_POINT_BIT(result);
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for (i = 0; i < dim; i++)
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{
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if ((dx[i] <= 0) || (dx[i] > DIM(c)))
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{
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pfree(result);
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ereport(ERROR,
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(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
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errmsg("Index out of bounds")));
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}
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result->x[i] = c->x[dx[i] - 1];
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if (!IS_POINT(c))
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result->x[i + dim] = c->x[dx[i] + DIM(c) - 1];
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}
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PG_FREE_IF_COPY(c, 0);
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PG_RETURN_NDBOX(result);
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}
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Datum
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cube_out(PG_FUNCTION_ARGS)
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{
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NDBOX *cube = PG_GETARG_NDBOX(0);
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StringInfoData buf;
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int dim = DIM(cube);
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int i;
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int ndig;
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initStringInfo(&buf);
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/*
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* Get the number of digits to display.
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*/
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ndig = DBL_DIG + extra_float_digits;
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if (ndig < 1)
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ndig = 1;
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/*
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* while printing the first (LL) corner, check if it is equal to the
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* second one
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*/
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appendStringInfoChar(&buf, '(');
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for (i = 0; i < dim; i++)
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{
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if (i > 0)
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appendStringInfo(&buf, ", ");
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appendStringInfo(&buf, "%.*g", ndig, LL_COORD(cube, i));
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}
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appendStringInfoChar(&buf, ')');
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if (!cube_is_point_internal(cube))
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{
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appendStringInfo(&buf, ",(");
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for (i = 0; i < dim; i++)
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{
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if (i > 0)
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appendStringInfo(&buf, ", ");
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appendStringInfo(&buf, "%.*g", ndig, UR_COORD(cube, i));
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}
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appendStringInfoChar(&buf, ')');
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}
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PG_FREE_IF_COPY(cube, 0);
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PG_RETURN_CSTRING(buf.data);
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}
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/*****************************************************************************
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* GiST functions
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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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Datum
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g_cube_consistent(PG_FUNCTION_ARGS)
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{
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GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
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NDBOX *query = PG_GETARG_NDBOX(1);
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StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
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/* Oid subtype = PG_GETARG_OID(3); */
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bool *recheck = (bool *) PG_GETARG_POINTER(4);
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bool res;
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/* All cases served by this function are exact */
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*recheck = false;
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/*
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* if entry is not leaf, use g_cube_internal_consistent, else use
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* g_cube_leaf_consistent
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*/
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if (GIST_LEAF(entry))
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res = g_cube_leaf_consistent(DatumGetNDBOX(entry->key),
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query, strategy);
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else
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res = g_cube_internal_consistent(DatumGetNDBOX(entry->key),
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query, strategy);
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PG_FREE_IF_COPY(query, 1);
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PG_RETURN_BOOL(res);
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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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Datum
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g_cube_union(PG_FUNCTION_ARGS)
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{
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GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
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int *sizep = (int *) PG_GETARG_POINTER(1);
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NDBOX *out = (NDBOX *) NULL;
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NDBOX *tmp;
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int i;
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/*
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* fprintf(stderr, "union\n");
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*/
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tmp = DatumGetNDBOX(entryvec->vector[0].key);
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/*
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* sizep = sizeof(NDBOX); -- NDBOX has variable size
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*/
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*sizep = VARSIZE(tmp);
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for (i = 1; i < entryvec->n; i++)
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{
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out = g_cube_binary_union(tmp,
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DatumGetNDBOX(entryvec->vector[i].key),
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sizep);
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tmp = out;
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}
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PG_RETURN_POINTER(out);
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}
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/*
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** GiST Compress and Decompress methods for boxes
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** do not do anything.
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*/
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Datum
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g_cube_compress(PG_FUNCTION_ARGS)
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{
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PG_RETURN_DATUM(PG_GETARG_DATUM(0));
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}
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Datum
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g_cube_decompress(PG_FUNCTION_ARGS)
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{
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GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
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NDBOX *key = DatumGetNDBOX(PG_DETOAST_DATUM(entry->key));
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if (key != DatumGetNDBOX(entry->key))
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{
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GISTENTRY *retval = (GISTENTRY *) palloc(sizeof(GISTENTRY));
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gistentryinit(*retval, PointerGetDatum(key),
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entry->rel, entry->page,
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entry->offset, FALSE);
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PG_RETURN_POINTER(retval);
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}
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PG_RETURN_POINTER(entry);
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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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Datum
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g_cube_penalty(PG_FUNCTION_ARGS)
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{
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GISTENTRY *origentry = (GISTENTRY *) PG_GETARG_POINTER(0);
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GISTENTRY *newentry = (GISTENTRY *) PG_GETARG_POINTER(1);
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float *result = (float *) PG_GETARG_POINTER(2);
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NDBOX *ud;
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double tmp1,
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tmp2;
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ud = cube_union_v0(DatumGetNDBOX(origentry->key),
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DatumGetNDBOX(newentry->key));
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rt_cube_size(ud, &tmp1);
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rt_cube_size(DatumGetNDBOX(origentry->key), &tmp2);
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*result = (float) (tmp1 - tmp2);
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/*
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* fprintf(stderr, "penalty\n"); fprintf(stderr, "\t%g\n", *result);
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*/
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PG_RETURN_FLOAT8(*result);
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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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Datum
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g_cube_picksplit(PG_FUNCTION_ARGS)
|
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{
|
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GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
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GIST_SPLITVEC *v = (GIST_SPLITVEC *) PG_GETARG_POINTER(1);
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OffsetNumber i,
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j;
|
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NDBOX *datum_alpha,
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*datum_beta;
|
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NDBOX *datum_l,
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*datum_r;
|
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NDBOX *union_d,
|
|
*union_dl,
|
|
*union_dr;
|
|
NDBOX *inter_d;
|
|
bool firsttime;
|
|
double size_alpha,
|
|
size_beta,
|
|
size_union,
|
|
size_inter;
|
|
double size_waste,
|
|
waste;
|
|
double size_l,
|
|
size_r;
|
|
int nbytes;
|
|
OffsetNumber seed_1 = 1,
|
|
seed_2 = 2;
|
|
OffsetNumber *left,
|
|
*right;
|
|
OffsetNumber maxoff;
|
|
|
|
/*
|
|
* fprintf(stderr, "picksplit\n");
|
|
*/
|
|
maxoff = entryvec->n - 2;
|
|
nbytes = (maxoff + 2) * sizeof(OffsetNumber);
|
|
v->spl_left = (OffsetNumber *) palloc(nbytes);
|
|
v->spl_right = (OffsetNumber *) palloc(nbytes);
|
|
|
|
firsttime = true;
|
|
waste = 0.0;
|
|
|
|
for (i = FirstOffsetNumber; i < maxoff; i = OffsetNumberNext(i))
|
|
{
|
|
datum_alpha = DatumGetNDBOX(entryvec->vector[i].key);
|
|
for (j = OffsetNumberNext(i); j <= maxoff; j = OffsetNumberNext(j))
|
|
{
|
|
datum_beta = DatumGetNDBOX(entryvec->vector[j].key);
|
|
|
|
/* compute the wasted space by unioning these guys */
|
|
/* size_waste = size_union - size_inter; */
|
|
union_d = cube_union_v0(datum_alpha, datum_beta);
|
|
rt_cube_size(union_d, &size_union);
|
|
inter_d = DatumGetNDBOX(DirectFunctionCall2(cube_inter,
|
|
entryvec->vector[i].key, entryvec->vector[j].key));
|
|
rt_cube_size(inter_d, &size_inter);
|
|
size_waste = size_union - size_inter;
|
|
|
|
/*
|
|
* are these a more promising split than what we've already seen?
|
|
*/
|
|
|
|
if (size_waste > waste || firsttime)
|
|
{
|
|
waste = size_waste;
|
|
seed_1 = i;
|
|
seed_2 = j;
|
|
firsttime = false;
|
|
}
|
|
}
|
|
}
|
|
|
|
left = v->spl_left;
|
|
v->spl_nleft = 0;
|
|
right = v->spl_right;
|
|
v->spl_nright = 0;
|
|
|
|
datum_alpha = DatumGetNDBOX(entryvec->vector[seed_1].key);
|
|
datum_l = cube_union_v0(datum_alpha, datum_alpha);
|
|
rt_cube_size(datum_l, &size_l);
|
|
datum_beta = DatumGetNDBOX(entryvec->vector[seed_2].key);
|
|
datum_r = cube_union_v0(datum_beta, datum_beta);
|
|
rt_cube_size(datum_r, &size_r);
|
|
|
|
/*
|
|
* 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.
|
|
*/
|
|
|
|
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 = DatumGetNDBOX(entryvec->vector[i].key);
|
|
union_dl = cube_union_v0(datum_l, datum_alpha);
|
|
union_dr = cube_union_v0(datum_r, datum_alpha);
|
|
rt_cube_size(union_dl, &size_alpha);
|
|
rt_cube_size(union_dr, &size_beta);
|
|
|
|
/* pick which page to add it to */
|
|
if (size_alpha - size_l < size_beta - size_r)
|
|
{
|
|
datum_l = union_dl;
|
|
size_l = size_alpha;
|
|
*left++ = i;
|
|
v->spl_nleft++;
|
|
}
|
|
else
|
|
{
|
|
datum_r = union_dr;
|
|
size_r = size_beta;
|
|
*right++ = i;
|
|
v->spl_nright++;
|
|
}
|
|
}
|
|
*left = *right = FirstOffsetNumber; /* sentinel value, see dosplit() */
|
|
|
|
v->spl_ldatum = PointerGetDatum(datum_l);
|
|
v->spl_rdatum = PointerGetDatum(datum_r);
|
|
|
|
PG_RETURN_POINTER(v);
|
|
}
|
|
|
|
/*
|
|
** Equality method
|
|
*/
|
|
Datum
|
|
g_cube_same(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *b1 = PG_GETARG_NDBOX(0);
|
|
NDBOX *b2 = PG_GETARG_NDBOX(1);
|
|
bool *result = (bool *) PG_GETARG_POINTER(2);
|
|
|
|
if (cube_cmp_v0(b1, b2) == 0)
|
|
*result = TRUE;
|
|
else
|
|
*result = FALSE;
|
|
|
|
/*
|
|
* fprintf(stderr, "same: %s\n", (*result ? "TRUE" : "FALSE" ));
|
|
*/
|
|
PG_RETURN_NDBOX(result);
|
|
}
|
|
|
|
/*
|
|
** SUPPORT ROUTINES
|
|
*/
|
|
bool
|
|
g_cube_leaf_consistent(NDBOX *key,
|
|
NDBOX *query,
|
|
StrategyNumber strategy)
|
|
{
|
|
bool retval;
|
|
|
|
/*
|
|
* fprintf(stderr, "leaf_consistent, %d\n", strategy);
|
|
*/
|
|
switch (strategy)
|
|
{
|
|
case RTOverlapStrategyNumber:
|
|
retval = (bool) cube_overlap_v0(key, query);
|
|
break;
|
|
case RTSameStrategyNumber:
|
|
retval = (bool) (cube_cmp_v0(key, query) == 0);
|
|
break;
|
|
case RTContainsStrategyNumber:
|
|
case RTOldContainsStrategyNumber:
|
|
retval = (bool) cube_contains_v0(key, query);
|
|
break;
|
|
case RTContainedByStrategyNumber:
|
|
case RTOldContainedByStrategyNumber:
|
|
retval = (bool) cube_contains_v0(query, key);
|
|
break;
|
|
default:
|
|
retval = FALSE;
|
|
}
|
|
return (retval);
|
|
}
|
|
|
|
bool
|
|
g_cube_internal_consistent(NDBOX *key,
|
|
NDBOX *query,
|
|
StrategyNumber strategy)
|
|
{
|
|
bool retval;
|
|
|
|
/*
|
|
* fprintf(stderr, "internal_consistent, %d\n", strategy);
|
|
*/
|
|
switch (strategy)
|
|
{
|
|
case RTOverlapStrategyNumber:
|
|
retval = (bool) cube_overlap_v0(key, query);
|
|
break;
|
|
case RTSameStrategyNumber:
|
|
case RTContainsStrategyNumber:
|
|
case RTOldContainsStrategyNumber:
|
|
retval = (bool) cube_contains_v0(key, query);
|
|
break;
|
|
case RTContainedByStrategyNumber:
|
|
case RTOldContainedByStrategyNumber:
|
|
retval = (bool) cube_overlap_v0(key, query);
|
|
break;
|
|
default:
|
|
retval = FALSE;
|
|
}
|
|
return (retval);
|
|
}
|
|
|
|
NDBOX *
|
|
g_cube_binary_union(NDBOX *r1, NDBOX *r2, int *sizep)
|
|
{
|
|
NDBOX *retval;
|
|
|
|
retval = cube_union_v0(r1, r2);
|
|
*sizep = VARSIZE(retval);
|
|
|
|
return (retval);
|
|
}
|
|
|
|
|
|
/* cube_union_v0 */
|
|
NDBOX *
|
|
cube_union_v0(NDBOX *a, NDBOX *b)
|
|
{
|
|
int i;
|
|
NDBOX *result;
|
|
int dim;
|
|
int size;
|
|
|
|
/* trivial case */
|
|
if (a == b)
|
|
return a;
|
|
|
|
/* swap the arguments if needed, so that 'a' is always larger than 'b' */
|
|
if (DIM(a) < DIM(b))
|
|
{
|
|
NDBOX *tmp = b;
|
|
|
|
b = a;
|
|
a = tmp;
|
|
}
|
|
dim = DIM(a);
|
|
|
|
size = CUBE_SIZE(dim);
|
|
result = palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, dim);
|
|
|
|
/* First compute the union of the dimensions present in both args */
|
|
for (i = 0; i < DIM(b); i++)
|
|
{
|
|
result->x[i] = Min(
|
|
Min(LL_COORD(a, i), UR_COORD(a, i)),
|
|
Min(LL_COORD(b, i), UR_COORD(b, i))
|
|
);
|
|
result->x[i + DIM(a)] = Max(
|
|
Max(LL_COORD(a, i), UR_COORD(a, i)),
|
|
Max(LL_COORD(b, i), UR_COORD(b, i))
|
|
);
|
|
}
|
|
/* continue on the higher dimensions only present in 'a' */
|
|
for (; i < DIM(a); i++)
|
|
{
|
|
result->x[i] = Min(0,
|
|
Min(LL_COORD(a, i), UR_COORD(a, i))
|
|
);
|
|
result->x[i + dim] = Max(0,
|
|
Max(LL_COORD(a, i), UR_COORD(a, i))
|
|
);
|
|
}
|
|
|
|
/*
|
|
* Check if the result was in fact a point, and set the flag in the datum
|
|
* accordingly. (we don't bother to repalloc it smaller)
|
|
*/
|
|
if (cube_is_point_internal(result))
|
|
{
|
|
size = POINT_SIZE(dim);
|
|
SET_VARSIZE(result, size);
|
|
SET_POINT_BIT(result);
|
|
}
|
|
|
|
return (result);
|
|
}
|
|
|
|
Datum
|
|
cube_union(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0);
|
|
NDBOX *b = PG_GETARG_NDBOX(1);
|
|
NDBOX *res;
|
|
|
|
res = cube_union_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_NDBOX(res);
|
|
}
|
|
|
|
/* cube_inter */
|
|
Datum
|
|
cube_inter(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0);
|
|
NDBOX *b = PG_GETARG_NDBOX(1);
|
|
NDBOX *result;
|
|
bool swapped = false;
|
|
int i;
|
|
int dim;
|
|
int size;
|
|
|
|
/* swap the arguments if needed, so that 'a' is always larger than 'b' */
|
|
if (DIM(a) < DIM(b))
|
|
{
|
|
NDBOX *tmp = b;
|
|
b = a;
|
|
a = tmp;
|
|
swapped = true;
|
|
}
|
|
dim = DIM(a);
|
|
|
|
size = CUBE_SIZE(dim);
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, dim);
|
|
|
|
/* First compute intersection of the dimensions present in both args */
|
|
for (i = 0; i < DIM(b); i++)
|
|
{
|
|
result->x[i] = Max(
|
|
Min(LL_COORD(a, i), UR_COORD(a, i)),
|
|
Min(LL_COORD(b, i), UR_COORD(b, i))
|
|
);
|
|
result->x[i + DIM(a)] = Min(
|
|
Max(LL_COORD(a, i), UR_COORD(a, i)),
|
|
Max(LL_COORD(b, i), UR_COORD(b, i))
|
|
);
|
|
}
|
|
/* continue on the higher dimemsions only present in 'a' */
|
|
for (; i < DIM(a); i++)
|
|
{
|
|
result->x[i] = Max(0,
|
|
Min(LL_COORD(a, i), UR_COORD(a, i))
|
|
);
|
|
result->x[i + DIM(a)] = Min(0,
|
|
Max(LL_COORD(a, i), UR_COORD(a, i))
|
|
);
|
|
}
|
|
|
|
/*
|
|
* Check if the result was in fact a point, and set the flag in the datum
|
|
* accordingly. (we don't bother to repalloc it smaller)
|
|
*/
|
|
if (cube_is_point_internal(result))
|
|
{
|
|
size = POINT_SIZE(dim);
|
|
result = repalloc(result, size);
|
|
SET_VARSIZE(result, size);
|
|
SET_POINT_BIT(result);
|
|
}
|
|
|
|
if (swapped)
|
|
{
|
|
PG_FREE_IF_COPY(b, 0);
|
|
PG_FREE_IF_COPY(a, 1);
|
|
}
|
|
else
|
|
{
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
}
|
|
|
|
/*
|
|
* Is it OK to return a non-null intersection for non-overlapping boxes?
|
|
*/
|
|
PG_RETURN_NDBOX(result);
|
|
}
|
|
|
|
/* cube_size */
|
|
Datum
|
|
cube_size(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0);
|
|
double result;
|
|
int i;
|
|
|
|
result = 1.0;
|
|
for (i = 0; i < DIM(a); i++)
|
|
result = result * Abs((LL_COORD(a, i) - UR_COORD(a, i)));
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_RETURN_FLOAT8(result);
|
|
}
|
|
|
|
void
|
|
rt_cube_size(NDBOX *a, double *size)
|
|
{
|
|
int i;
|
|
|
|
if (a == (NDBOX *) NULL)
|
|
*size = 0.0;
|
|
else
|
|
{
|
|
*size = 1.0;
|
|
for (i = 0; i < DIM(a); i++)
|
|
*size = (*size) * Abs(UR_COORD(a, i) - LL_COORD(a, i));
|
|
}
|
|
return;
|
|
}
|
|
|
|
/* make up a metric in which one box will be 'lower' than the other
|
|
-- this can be useful for sorting and to determine uniqueness */
|
|
int32
|
|
cube_cmp_v0(NDBOX *a, NDBOX *b)
|
|
{
|
|
int i;
|
|
int dim;
|
|
|
|
dim = Min(DIM(a), DIM(b));
|
|
|
|
/* compare the common dimensions */
|
|
for (i = 0; i < dim; i++)
|
|
{
|
|
if (Min(LL_COORD(a, i), UR_COORD(a, i)) >
|
|
Min(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return 1;
|
|
if (Min(LL_COORD(a, i), UR_COORD(a, i)) <
|
|
Min(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return -1;
|
|
}
|
|
for (i = 0; i < dim; i++)
|
|
{
|
|
if (Max(LL_COORD(a, i), UR_COORD(a, i)) >
|
|
Max(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return 1;
|
|
if (Max(LL_COORD(a, i), UR_COORD(a, i)) <
|
|
Max(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return -1;
|
|
}
|
|
|
|
/* compare extra dimensions to zero */
|
|
if (DIM(a) > DIM(b))
|
|
{
|
|
for (i = dim; i < DIM(a); i++)
|
|
{
|
|
if (Min(LL_COORD(a, i), UR_COORD(a, i)) > 0)
|
|
return 1;
|
|
if (Min(LL_COORD(a, i), UR_COORD(a, i)) < 0)
|
|
return -1;
|
|
}
|
|
for (i = dim; i < DIM(a); i++)
|
|
{
|
|
if (Max(LL_COORD(a, i), UR_COORD(a, i)) > 0)
|
|
return 1;
|
|
if (Max(LL_COORD(a, i), UR_COORD(a, i)) < 0)
|
|
return -1;
|
|
}
|
|
|
|
/*
|
|
* if all common dimensions are equal, the cube with more dimensions
|
|
* wins
|
|
*/
|
|
return 1;
|
|
}
|
|
if (DIM(a) < DIM(b))
|
|
{
|
|
for (i = dim; i < DIM(b); i++)
|
|
{
|
|
if (Min(LL_COORD(b, i), UR_COORD(b, i)) > 0)
|
|
return -1;
|
|
if (Min(LL_COORD(b, i), UR_COORD(b, i)) < 0)
|
|
return 1;
|
|
}
|
|
for (i = dim; i < DIM(b); i++)
|
|
{
|
|
if (Max(LL_COORD(b, i), UR_COORD(b, i)) > 0)
|
|
return -1;
|
|
if (Max(LL_COORD(b, i), UR_COORD(b, i)) < 0)
|
|
return 1;
|
|
}
|
|
|
|
/*
|
|
* if all common dimensions are equal, the cube with more dimensions
|
|
* wins
|
|
*/
|
|
return -1;
|
|
}
|
|
|
|
/* They're really equal */
|
|
return 0;
|
|
}
|
|
|
|
Datum
|
|
cube_cmp(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
int32 res;
|
|
|
|
res = cube_cmp_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_INT32(res);
|
|
}
|
|
|
|
|
|
Datum
|
|
cube_eq(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
int32 res;
|
|
|
|
res = cube_cmp_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res == 0);
|
|
}
|
|
|
|
|
|
Datum
|
|
cube_ne(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
int32 res;
|
|
|
|
res = cube_cmp_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res != 0);
|
|
}
|
|
|
|
|
|
Datum
|
|
cube_lt(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
int32 res;
|
|
|
|
res = cube_cmp_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res < 0);
|
|
}
|
|
|
|
|
|
Datum
|
|
cube_gt(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
int32 res;
|
|
|
|
res = cube_cmp_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res > 0);
|
|
}
|
|
|
|
|
|
Datum
|
|
cube_le(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
int32 res;
|
|
|
|
res = cube_cmp_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res <= 0);
|
|
}
|
|
|
|
|
|
Datum
|
|
cube_ge(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
int32 res;
|
|
|
|
res = cube_cmp_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res >= 0);
|
|
}
|
|
|
|
|
|
/* Contains */
|
|
/* Box(A) CONTAINS Box(B) IFF pt(A) < pt(B) */
|
|
bool
|
|
cube_contains_v0(NDBOX *a, NDBOX *b)
|
|
{
|
|
int i;
|
|
|
|
if ((a == NULL) || (b == NULL))
|
|
return (FALSE);
|
|
|
|
if (DIM(a) < DIM(b))
|
|
{
|
|
/*
|
|
* the further comparisons will make sense if the excess dimensions of
|
|
* (b) were zeroes Since both UL and UR coordinates must be zero, we
|
|
* can check them all without worrying about which is which.
|
|
*/
|
|
for (i = DIM(a); i < DIM(b); i++)
|
|
{
|
|
if (LL_COORD(b, i) != 0)
|
|
return (FALSE);
|
|
if (UR_COORD(b, i) != 0)
|
|
return (FALSE);
|
|
}
|
|
}
|
|
|
|
/* Can't care less about the excess dimensions of (a), if any */
|
|
for (i = 0; i < Min(DIM(a), DIM(b)); i++)
|
|
{
|
|
if (Min(LL_COORD(a, i), UR_COORD(a, i)) >
|
|
Min(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return (FALSE);
|
|
if (Max(LL_COORD(a, i), UR_COORD(a, i)) <
|
|
Max(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return (FALSE);
|
|
}
|
|
|
|
return (TRUE);
|
|
}
|
|
|
|
Datum
|
|
cube_contains(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
bool res;
|
|
|
|
res = cube_contains_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res);
|
|
}
|
|
|
|
/* Contained */
|
|
/* Box(A) Contained by Box(B) IFF Box(B) Contains Box(A) */
|
|
Datum
|
|
cube_contained(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
bool res;
|
|
|
|
res = cube_contains_v0(b, a);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res);
|
|
}
|
|
|
|
/* Overlap */
|
|
/* Box(A) Overlap Box(B) IFF (pt(a)LL < pt(B)UR) && (pt(b)LL < pt(a)UR) */
|
|
bool
|
|
cube_overlap_v0(NDBOX *a, NDBOX *b)
|
|
{
|
|
int i;
|
|
|
|
/*
|
|
* This *very bad* error was found in the source: if ( (a==NULL) ||
|
|
* (b=NULL) ) return(FALSE);
|
|
*/
|
|
if ((a == NULL) || (b == NULL))
|
|
return (FALSE);
|
|
|
|
/* swap the box pointers if needed */
|
|
if (DIM(a) < DIM(b))
|
|
{
|
|
NDBOX *tmp = b;
|
|
|
|
b = a;
|
|
a = tmp;
|
|
}
|
|
|
|
/* compare within the dimensions of (b) */
|
|
for (i = 0; i < DIM(b); i++)
|
|
{
|
|
if (Min(LL_COORD(a, i), UR_COORD(a, i)) > Max(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return (FALSE);
|
|
if (Max(LL_COORD(a, i), UR_COORD(a, i)) < Min(LL_COORD(b, i), UR_COORD(b, i)))
|
|
return (FALSE);
|
|
}
|
|
|
|
/* compare to zero those dimensions in (a) absent in (b) */
|
|
for (i = DIM(b); i < DIM(a); i++)
|
|
{
|
|
if (Min(LL_COORD(a, i), UR_COORD(a, i)) > 0)
|
|
return (FALSE);
|
|
if (Max(LL_COORD(a, i), UR_COORD(a, i)) < 0)
|
|
return (FALSE);
|
|
}
|
|
|
|
return (TRUE);
|
|
}
|
|
|
|
|
|
Datum
|
|
cube_overlap(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
bool res;
|
|
|
|
res = cube_overlap_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_BOOL(res);
|
|
}
|
|
|
|
|
|
/* Distance */
|
|
/* The distance is computed as a per axis sum of the squared distances
|
|
between 1D projections of the boxes onto Cartesian axes. Assuming zero
|
|
distance between overlapping projections, this metric coincides with the
|
|
"common sense" geometric distance */
|
|
Datum
|
|
cube_distance(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0),
|
|
*b = PG_GETARG_NDBOX(1);
|
|
bool swapped = false;
|
|
double d,
|
|
distance;
|
|
int i;
|
|
|
|
/* swap the box pointers if needed */
|
|
if (DIM(a) < DIM(b))
|
|
{
|
|
NDBOX *tmp = b;
|
|
|
|
b = a;
|
|
a = tmp;
|
|
swapped = true;
|
|
}
|
|
|
|
distance = 0.0;
|
|
/* compute within the dimensions of (b) */
|
|
for (i = 0; i < DIM(b); i++)
|
|
{
|
|
d = distance_1D(LL_COORD(a,i), UR_COORD(a,i), LL_COORD(b,i), UR_COORD(b,i));
|
|
distance += d * d;
|
|
}
|
|
|
|
/* compute distance to zero for those dimensions in (a) absent in (b) */
|
|
for (i = DIM(b); i < DIM(a); i++)
|
|
{
|
|
d = distance_1D(LL_COORD(a,i), UR_COORD(a,i), 0.0, 0.0);
|
|
distance += d * d;
|
|
}
|
|
|
|
if (swapped)
|
|
{
|
|
PG_FREE_IF_COPY(b, 0);
|
|
PG_FREE_IF_COPY(a, 1);
|
|
}
|
|
else
|
|
{
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
}
|
|
|
|
PG_RETURN_FLOAT8(sqrt(distance));
|
|
}
|
|
|
|
static double
|
|
distance_1D(double a1, double a2, double b1, double b2)
|
|
{
|
|
/* interval (a) is entirely on the left of (b) */
|
|
if ((a1 <= b1) && (a2 <= b1) && (a1 <= b2) && (a2 <= b2))
|
|
return (Min(b1, b2) - Max(a1, a2));
|
|
|
|
/* interval (a) is entirely on the right of (b) */
|
|
if ((a1 > b1) && (a2 > b1) && (a1 > b2) && (a2 > b2))
|
|
return (Min(a1, a2) - Max(b1, b2));
|
|
|
|
/* the rest are all sorts of intersections */
|
|
return (0.0);
|
|
}
|
|
|
|
/* Test if a box is also a point */
|
|
Datum
|
|
cube_is_point(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *cube = PG_GETARG_NDBOX(0);
|
|
bool result;
|
|
|
|
result = cube_is_point_internal(cube);
|
|
PG_FREE_IF_COPY(cube, 0);
|
|
PG_RETURN_BOOL(result);
|
|
}
|
|
|
|
static bool
|
|
cube_is_point_internal(NDBOX *cube)
|
|
{
|
|
int i;
|
|
|
|
if (IS_POINT(cube))
|
|
return true;
|
|
|
|
/*
|
|
* Even if the point-flag is not set, all the lower-left coordinates
|
|
* might match the upper-right coordinates, so that the value is in
|
|
* fact a point. Such values don't arise with current code - the point
|
|
* flag is always set if appropriate - but they might be present on-disk
|
|
* in clusters upgraded from pre-9.4 versions.
|
|
*/
|
|
for (i = 0; i < DIM(cube); i++)
|
|
{
|
|
if (LL_COORD(cube, i) != UR_COORD(cube, i))
|
|
return false;
|
|
}
|
|
return true;
|
|
}
|
|
|
|
/* Return dimensions in use in the data structure */
|
|
Datum
|
|
cube_dim(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *c = PG_GETARG_NDBOX(0);
|
|
int dim = DIM(c);
|
|
PG_FREE_IF_COPY(c, 0);
|
|
PG_RETURN_INT32(dim);
|
|
}
|
|
|
|
/* Return a specific normalized LL coordinate */
|
|
Datum
|
|
cube_ll_coord(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *c = PG_GETARG_NDBOX(0);
|
|
int n = PG_GETARG_INT16(1);
|
|
double result;
|
|
|
|
if (DIM(c) >= n && n > 0)
|
|
result = Min(LL_COORD(c, n-1), UR_COORD(c, n-1));
|
|
else
|
|
result = 0;
|
|
|
|
PG_FREE_IF_COPY(c, 0);
|
|
PG_RETURN_FLOAT8(result);
|
|
}
|
|
|
|
/* Return a specific normalized UR coordinate */
|
|
Datum
|
|
cube_ur_coord(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *c = PG_GETARG_NDBOX(0);
|
|
int n = PG_GETARG_INT16(1);
|
|
double result;
|
|
|
|
if (DIM(c) >= n && n > 0)
|
|
result = Max(LL_COORD(c, n-1), UR_COORD(c, n-1));
|
|
else
|
|
result = 0;
|
|
|
|
PG_FREE_IF_COPY(c, 0);
|
|
PG_RETURN_FLOAT8(result);
|
|
}
|
|
|
|
/* Increase or decrease box size by a radius in at least n dimensions. */
|
|
Datum
|
|
cube_enlarge(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX(0);
|
|
double r = PG_GETARG_FLOAT8(1);
|
|
int32 n = PG_GETARG_INT32(2);
|
|
NDBOX *result;
|
|
int dim = 0;
|
|
int size;
|
|
int i,
|
|
j;
|
|
|
|
if (n > CUBE_MAX_DIM)
|
|
n = CUBE_MAX_DIM;
|
|
if (r > 0 && n > 0)
|
|
dim = n;
|
|
if (DIM(a) > dim)
|
|
dim = DIM(a);
|
|
|
|
size = CUBE_SIZE(dim);
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, dim);
|
|
|
|
for (i = 0, j = dim; i < DIM(a); i++, j++)
|
|
{
|
|
if (LL_COORD(a,i) >= UR_COORD(a,i))
|
|
{
|
|
result->x[i] = UR_COORD(a,i) - r;
|
|
result->x[j] = LL_COORD(a,i) + r;
|
|
}
|
|
else
|
|
{
|
|
result->x[i] = LL_COORD(a,i) - r;
|
|
result->x[j] = UR_COORD(a,i) + r;
|
|
}
|
|
if (result->x[i] > result->x[j])
|
|
{
|
|
result->x[i] = (result->x[i] + result->x[j]) / 2;
|
|
result->x[j] = result->x[i];
|
|
}
|
|
}
|
|
/* dim > a->dim only if r > 0 */
|
|
for (; i < dim; i++, j++)
|
|
{
|
|
result->x[i] = -r;
|
|
result->x[j] = r;
|
|
}
|
|
|
|
/*
|
|
* Check if the result was in fact a point, and set the flag in the datum
|
|
* accordingly. (we don't bother to repalloc it smaller)
|
|
*/
|
|
if (cube_is_point_internal(result))
|
|
{
|
|
size = POINT_SIZE(dim);
|
|
SET_VARSIZE(result, size);
|
|
SET_POINT_BIT(result);
|
|
}
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_RETURN_NDBOX(result);
|
|
}
|
|
|
|
/* Create a one dimensional box with identical upper and lower coordinates */
|
|
Datum
|
|
cube_f8(PG_FUNCTION_ARGS)
|
|
{
|
|
double x = PG_GETARG_FLOAT8(0);
|
|
NDBOX *result;
|
|
int size;
|
|
|
|
size = POINT_SIZE(1);
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, 1);
|
|
SET_POINT_BIT(result);
|
|
result->x[0] = x;
|
|
|
|
PG_RETURN_NDBOX(result);
|
|
}
|
|
|
|
/* Create a one dimensional box */
|
|
Datum
|
|
cube_f8_f8(PG_FUNCTION_ARGS)
|
|
{
|
|
double x0 = PG_GETARG_FLOAT8(0);
|
|
double x1 = PG_GETARG_FLOAT8(1);
|
|
NDBOX *result;
|
|
int size;
|
|
|
|
if (x0 == x1)
|
|
{
|
|
size = POINT_SIZE(1);
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, 1);
|
|
SET_POINT_BIT(result);
|
|
result->x[0] = x0;
|
|
}
|
|
else
|
|
{
|
|
size = CUBE_SIZE(1);
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, 1);
|
|
result->x[0] = x0;
|
|
result->x[1] = x1;
|
|
}
|
|
|
|
PG_RETURN_NDBOX(result);
|
|
}
|
|
|
|
/* Add a dimension to an existing cube with the same values for the new
|
|
coordinate */
|
|
Datum
|
|
cube_c_f8(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *cube = PG_GETARG_NDBOX(0);
|
|
double x = PG_GETARG_FLOAT8(1);
|
|
NDBOX *result;
|
|
int size;
|
|
int i;
|
|
|
|
if (IS_POINT(cube))
|
|
{
|
|
size = POINT_SIZE((DIM(cube) + 1));
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, DIM(cube) + 1);
|
|
SET_POINT_BIT(result);
|
|
for (i = 0; i < DIM(cube); i++)
|
|
result->x[i] = cube->x[i];
|
|
result->x[DIM(result) - 1] = x;
|
|
}
|
|
else
|
|
{
|
|
size = CUBE_SIZE((DIM(cube) + 1));
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, DIM(cube) + 1);
|
|
for (i = 0; i < DIM(cube); i++)
|
|
{
|
|
result->x[i] = cube->x[i];
|
|
result->x[DIM(result) + i] = cube->x[DIM(cube) + i];
|
|
}
|
|
result->x[DIM(result) - 1] = x;
|
|
result->x[2*DIM(result) - 1] = x;
|
|
}
|
|
|
|
PG_FREE_IF_COPY(cube, 0);
|
|
PG_RETURN_NDBOX(result);
|
|
}
|
|
|
|
/* Add a dimension to an existing cube */
|
|
Datum
|
|
cube_c_f8_f8(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *cube = PG_GETARG_NDBOX(0);
|
|
double x1 = PG_GETARG_FLOAT8(1);
|
|
double x2 = PG_GETARG_FLOAT8(2);
|
|
NDBOX *result;
|
|
int size;
|
|
int i;
|
|
|
|
if (IS_POINT(cube) && (x1 == x2)){
|
|
size = POINT_SIZE((DIM(cube) + 1));
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, DIM(cube) + 1);
|
|
SET_POINT_BIT(result);
|
|
for (i = 0; i < DIM(cube); i++)
|
|
result->x[i] = cube->x[i];
|
|
result->x[DIM(result) - 1] = x1;
|
|
}
|
|
else
|
|
{
|
|
size = CUBE_SIZE((DIM(cube) + 1));
|
|
result = (NDBOX *) palloc0(size);
|
|
SET_VARSIZE(result, size);
|
|
SET_DIM(result, DIM(cube) + 1);
|
|
for (i = 0; i < DIM(cube); i++)
|
|
{
|
|
result->x[i] = LL_COORD(cube, i);
|
|
result->x[DIM(result) + i] = UR_COORD(cube, i);
|
|
}
|
|
result->x[DIM(result) - 1] = x1;
|
|
result->x[2 * DIM(result) - 1] = x2;
|
|
}
|
|
|
|
PG_FREE_IF_COPY(cube, 0);
|
|
PG_RETURN_NDBOX(result);
|
|
}
|