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We used to strategically place newlines after some function call left parentheses to make pgindent move the argument list a few chars to the left, so that the whole line would fit under 80 chars. However, pgindent no longer does that, so the newlines just made the code vertically longer for no reason. Remove those newlines, and reflow some of those lines for some extra naturality. Reviewed-by: Michael Paquier, Tom Lane Discussion: https://postgr.es/m/20200129200401.GA6303@alvherre.pgsql
1853 lines
40 KiB
C
1853 lines
40 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 <math.h>
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#include "access/gist.h"
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#include "access/stratnum.h"
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#include "cubedata.h"
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#include "utils/array.h"
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#include "utils/float.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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/*
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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_coord);
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PG_FUNCTION_INFO_V1(cube_coord_llur);
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PG_FUNCTION_INFO_V1(cube_subset);
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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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PG_FUNCTION_INFO_V1(g_cube_distance);
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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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/*
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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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/*
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** miscellaneous
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*/
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PG_FUNCTION_INFO_V1(distance_taxicab);
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PG_FUNCTION_INFO_V1(cube_distance);
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PG_FUNCTION_INFO_V1(distance_chebyshev);
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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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/*
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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 functions
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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, "cube parser failed");
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cube_scanner_finish();
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PG_RETURN_NDBOX_P(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 (dim > CUBE_MAX_DIM)
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ereport(ERROR,
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(errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
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errmsg("can't extend cube"),
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errdetail("A cube cannot have more than %d dimensions.",
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CUBE_MAX_DIM)));
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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_P(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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if (dim > CUBE_MAX_DIM)
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ereport(ERROR,
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(errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
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errmsg("array is too long"),
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errdetail("A cube cannot have more than %d dimensions.",
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CUBE_MAX_DIM)));
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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_P(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_P(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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if (dim > CUBE_MAX_DIM)
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ereport(ERROR,
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(errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
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errmsg("array is too long"),
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errdetail("A cube cannot have more than %d dimensions.",
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CUBE_MAX_DIM)));
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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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ereport(ERROR,
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(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
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errmsg("Index out of bounds")));
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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_P(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_P(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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initStringInfo(&buf);
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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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appendStringInfoString(&buf, ", ");
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appendStringInfoString(&buf, float8out_internal(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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appendStringInfoString(&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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appendStringInfoString(&buf, ", ");
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appendStringInfoString(&buf, float8out_internal(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_P(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(DatumGetNDBOXP(entry->key),
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query, strategy);
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else
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res = g_cube_internal_consistent(DatumGetNDBOXP(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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tmp = DatumGetNDBOXP(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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DatumGetNDBOXP(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 = DatumGetNDBOXP(entry->key);
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if (key != DatumGetNDBOXP(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(DatumGetNDBOXP(origentry->key),
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DatumGetNDBOXP(newentry->key));
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rt_cube_size(ud, &tmp1);
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rt_cube_size(DatumGetNDBOXP(origentry->key), &tmp2);
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*result = (float) (tmp1 - tmp2);
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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,
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*union_dl,
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*union_dr;
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NDBOX *inter_d;
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bool firsttime;
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double size_alpha,
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size_beta,
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size_union,
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size_inter;
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double size_waste,
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waste;
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double size_l,
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size_r;
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int nbytes;
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OffsetNumber seed_1 = 1,
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seed_2 = 2;
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OffsetNumber *left,
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*right;
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OffsetNumber maxoff;
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maxoff = entryvec->n - 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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{
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datum_alpha = DatumGetNDBOXP(entryvec->vector[i].key);
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for (j = OffsetNumberNext(i); j <= maxoff; j = OffsetNumberNext(j))
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{
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datum_beta = DatumGetNDBOXP(entryvec->vector[j].key);
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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 = cube_union_v0(datum_alpha, datum_beta);
|
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rt_cube_size(union_d, &size_union);
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inter_d = DatumGetNDBOXP(DirectFunctionCall2(cube_inter,
|
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entryvec->vector[i].key,
|
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entryvec->vector[j].key));
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rt_cube_size(inter_d, &size_inter);
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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 than what we've already seen?
|
|
*/
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|
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if (size_waste > waste || firsttime)
|
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{
|
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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 = DatumGetNDBOXP(entryvec->vector[seed_1].key);
|
|
datum_l = cube_union_v0(datum_alpha, datum_alpha);
|
|
rt_cube_size(datum_l, &size_l);
|
|
datum_beta = DatumGetNDBOXP(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 = DatumGetNDBOXP(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 */
|
|
|
|
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_P(0);
|
|
NDBOX *b2 = PG_GETARG_NDBOX_P(1);
|
|
bool *result = (bool *) PG_GETARG_POINTER(2);
|
|
|
|
if (cube_cmp_v0(b1, b2) == 0)
|
|
*result = true;
|
|
else
|
|
*result = false;
|
|
|
|
PG_RETURN_NDBOX_P(result);
|
|
}
|
|
|
|
/*
|
|
** SUPPORT ROUTINES
|
|
*/
|
|
bool
|
|
g_cube_leaf_consistent(NDBOX *key,
|
|
NDBOX *query,
|
|
StrategyNumber strategy)
|
|
{
|
|
bool retval;
|
|
|
|
switch (strategy)
|
|
{
|
|
case RTOverlapStrategyNumber:
|
|
retval = cube_overlap_v0(key, query);
|
|
break;
|
|
case RTSameStrategyNumber:
|
|
retval = (cube_cmp_v0(key, query) == 0);
|
|
break;
|
|
case RTContainsStrategyNumber:
|
|
case RTOldContainsStrategyNumber:
|
|
retval = cube_contains_v0(key, query);
|
|
break;
|
|
case RTContainedByStrategyNumber:
|
|
case RTOldContainedByStrategyNumber:
|
|
retval = cube_contains_v0(query, key);
|
|
break;
|
|
default:
|
|
retval = false;
|
|
}
|
|
return retval;
|
|
}
|
|
|
|
bool
|
|
g_cube_internal_consistent(NDBOX *key,
|
|
NDBOX *query,
|
|
StrategyNumber strategy)
|
|
{
|
|
bool retval;
|
|
|
|
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_P(0);
|
|
NDBOX *b = PG_GETARG_NDBOX_P(1);
|
|
NDBOX *res;
|
|
|
|
res = cube_union_v0(a, b);
|
|
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_FREE_IF_COPY(b, 1);
|
|
PG_RETURN_NDBOX_P(res);
|
|
}
|
|
|
|
/* cube_inter */
|
|
Datum
|
|
cube_inter(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX_P(0);
|
|
NDBOX *b = PG_GETARG_NDBOX_P(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 dimensions 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_P(result);
|
|
}
|
|
|
|
/* cube_size */
|
|
Datum
|
|
cube_size(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX_P(0);
|
|
double result;
|
|
|
|
rt_cube_size(a, &result);
|
|
PG_FREE_IF_COPY(a, 0);
|
|
PG_RETURN_FLOAT8(result);
|
|
}
|
|
|
|
void
|
|
rt_cube_size(NDBOX *a, double *size)
|
|
{
|
|
double result;
|
|
int i;
|
|
|
|
if (a == (NDBOX *) NULL)
|
|
{
|
|
/* special case for GiST */
|
|
result = 0.0;
|
|
}
|
|
else if (IS_POINT(a) || DIM(a) == 0)
|
|
{
|
|
/* necessarily has zero size */
|
|
result = 0.0;
|
|
}
|
|
else
|
|
{
|
|
result = 1.0;
|
|
for (i = 0; i < DIM(a); i++)
|
|
result *= Abs(UR_COORD(a, i) - LL_COORD(a, i));
|
|
}
|
|
*size = result;
|
|
}
|
|
|
|
/* 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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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;
|
|
|
|
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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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));
|
|
}
|
|
|
|
Datum
|
|
distance_taxicab(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX_P(0),
|
|
*b = PG_GETARG_NDBOX_P(1);
|
|
bool swapped = false;
|
|
double 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++)
|
|
distance += fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i),
|
|
LL_COORD(b, i), UR_COORD(b, i)));
|
|
|
|
/* compute distance to zero for those dimensions in (a) absent in (b) */
|
|
for (i = DIM(b); i < DIM(a); i++)
|
|
distance += fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i),
|
|
0.0, 0.0));
|
|
|
|
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(distance);
|
|
}
|
|
|
|
Datum
|
|
distance_chebyshev(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *a = PG_GETARG_NDBOX_P(0),
|
|
*b = PG_GETARG_NDBOX_P(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 = fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i),
|
|
LL_COORD(b, i), UR_COORD(b, i)));
|
|
if (d > distance)
|
|
distance = d;
|
|
}
|
|
|
|
/* compute distance to zero for those dimensions in (a) absent in (b) */
|
|
for (i = DIM(b); i < DIM(a); i++)
|
|
{
|
|
d = fabs(distance_1D(LL_COORD(a, i), UR_COORD(a, i), 0.0, 0.0));
|
|
if (d > distance)
|
|
distance = 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(distance);
|
|
}
|
|
|
|
Datum
|
|
g_cube_distance(PG_FUNCTION_ARGS)
|
|
{
|
|
GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
|
|
StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
|
|
NDBOX *cube = DatumGetNDBOXP(entry->key);
|
|
double retval;
|
|
|
|
if (strategy == CubeKNNDistanceCoord)
|
|
{
|
|
/*
|
|
* Handle ordering by ~> operator. See comments of cube_coord_llur()
|
|
* for details
|
|
*/
|
|
int coord = PG_GETARG_INT32(1);
|
|
bool isLeaf = GistPageIsLeaf(entry->page);
|
|
bool inverse = false;
|
|
|
|
/* 0 is the only unsupported coordinate value */
|
|
if (coord == 0)
|
|
ereport(ERROR,
|
|
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
|
|
errmsg("zero cube index is not defined")));
|
|
|
|
/* Return inversed value for negative coordinate */
|
|
if (coord < 0)
|
|
{
|
|
coord = -coord;
|
|
inverse = true;
|
|
}
|
|
|
|
if (coord <= 2 * DIM(cube))
|
|
{
|
|
/* dimension index */
|
|
int index = (coord - 1) / 2;
|
|
|
|
/* whether this is upper bound (lower bound otherwise) */
|
|
bool upper = ((coord - 1) % 2 == 1);
|
|
|
|
if (IS_POINT(cube))
|
|
{
|
|
retval = cube->x[index];
|
|
}
|
|
else
|
|
{
|
|
if (isLeaf)
|
|
{
|
|
/* For leaf just return required upper/lower bound */
|
|
if (upper)
|
|
retval = Max(cube->x[index], cube->x[index + DIM(cube)]);
|
|
else
|
|
retval = Min(cube->x[index], cube->x[index + DIM(cube)]);
|
|
}
|
|
else
|
|
{
|
|
/*
|
|
* For non-leaf we should always return lower bound,
|
|
* because even upper bound of a child in the subtree can
|
|
* be as small as our lower bound. For inversed case we
|
|
* return upper bound because it becomes lower bound for
|
|
* inversed value.
|
|
*/
|
|
if (!inverse)
|
|
retval = Min(cube->x[index], cube->x[index + DIM(cube)]);
|
|
else
|
|
retval = Max(cube->x[index], cube->x[index + DIM(cube)]);
|
|
}
|
|
}
|
|
}
|
|
else
|
|
{
|
|
retval = 0.0;
|
|
}
|
|
|
|
/* Inverse return value if needed */
|
|
if (inverse)
|
|
retval = -retval;
|
|
}
|
|
else
|
|
{
|
|
NDBOX *query = PG_GETARG_NDBOX_P(1);
|
|
|
|
switch (strategy)
|
|
{
|
|
case CubeKNNDistanceTaxicab:
|
|
retval = DatumGetFloat8(DirectFunctionCall2(distance_taxicab,
|
|
PointerGetDatum(cube), PointerGetDatum(query)));
|
|
break;
|
|
case CubeKNNDistanceEuclid:
|
|
retval = DatumGetFloat8(DirectFunctionCall2(cube_distance,
|
|
PointerGetDatum(cube), PointerGetDatum(query)));
|
|
break;
|
|
case CubeKNNDistanceChebyshev:
|
|
retval = DatumGetFloat8(DirectFunctionCall2(distance_chebyshev,
|
|
PointerGetDatum(cube), PointerGetDatum(query)));
|
|
break;
|
|
default:
|
|
elog(ERROR, "unrecognized cube strategy number: %d", strategy);
|
|
retval = 0; /* keep compiler quiet */
|
|
break;
|
|
}
|
|
}
|
|
PG_RETURN_FLOAT8(retval);
|
|
}
|
|
|
|
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_P(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_P(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_P(0);
|
|
int n = PG_GETARG_INT32(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_P(0);
|
|
int n = PG_GETARG_INT32(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);
|
|
}
|
|
|
|
/*
|
|
* Function returns cube coordinate.
|
|
* Numbers from 1 to DIM denotes first corner coordinates.
|
|
* Numbers from DIM+1 to 2*DIM denotes second corner coordinates.
|
|
*/
|
|
Datum
|
|
cube_coord(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *cube = PG_GETARG_NDBOX_P(0);
|
|
int coord = PG_GETARG_INT32(1);
|
|
|
|
if (coord <= 0 || coord > 2 * DIM(cube))
|
|
ereport(ERROR,
|
|
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
|
|
errmsg("cube index %d is out of bounds", coord)));
|
|
|
|
if (IS_POINT(cube))
|
|
PG_RETURN_FLOAT8(cube->x[(coord - 1) % DIM(cube)]);
|
|
else
|
|
PG_RETURN_FLOAT8(cube->x[coord - 1]);
|
|
}
|
|
|
|
|
|
/*----
|
|
* This function works like cube_coord(), but rearranges coordinates in the
|
|
* way suitable to support coordinate ordering using KNN-GiST. For historical
|
|
* reasons this extension allows us to create cubes in form ((2,1),(1,2)) and
|
|
* instead of normalizing such cube to ((1,1),(2,2)) it stores cube in original
|
|
* way. But in order to get cubes ordered by one of dimensions from the index
|
|
* without explicit sort step we need this representation-independent coordinate
|
|
* getter. Moreover, indexed dataset may contain cubes of different dimensions
|
|
* number. Accordingly, this coordinate getter should be able to return
|
|
* lower/upper bound for particular dimension independently on number of cube
|
|
* dimensions. Also, KNN-GiST supports only ascending sorting. In order to
|
|
* support descending sorting, this function returns inverse of value when
|
|
* negative coordinate is given.
|
|
*
|
|
* Long story short, this function uses following meaning of coordinates:
|
|
* # (2 * N - 1) -- lower bound of Nth dimension,
|
|
* # (2 * N) -- upper bound of Nth dimension,
|
|
* # - (2 * N - 1) -- negative of lower bound of Nth dimension,
|
|
* # - (2 * N) -- negative of upper bound of Nth dimension.
|
|
*
|
|
* When given coordinate exceeds number of cube dimensions, then 0 returned
|
|
* (reproducing logic of GiST indexing of variable-length cubes).
|
|
*/
|
|
Datum
|
|
cube_coord_llur(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *cube = PG_GETARG_NDBOX_P(0);
|
|
int coord = PG_GETARG_INT32(1);
|
|
bool inverse = false;
|
|
float8 result;
|
|
|
|
/* 0 is the only unsupported coordinate value */
|
|
if (coord == 0)
|
|
ereport(ERROR,
|
|
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
|
|
errmsg("zero cube index is not defined")));
|
|
|
|
/* Return inversed value for negative coordinate */
|
|
if (coord < 0)
|
|
{
|
|
coord = -coord;
|
|
inverse = true;
|
|
}
|
|
|
|
if (coord <= 2 * DIM(cube))
|
|
{
|
|
/* dimension index */
|
|
int index = (coord - 1) / 2;
|
|
|
|
/* whether this is upper bound (lower bound otherwise) */
|
|
bool upper = ((coord - 1) % 2 == 1);
|
|
|
|
if (IS_POINT(cube))
|
|
{
|
|
result = cube->x[index];
|
|
}
|
|
else
|
|
{
|
|
if (upper)
|
|
result = Max(cube->x[index], cube->x[index + DIM(cube)]);
|
|
else
|
|
result = Min(cube->x[index], cube->x[index + DIM(cube)]);
|
|
}
|
|
}
|
|
else
|
|
{
|
|
/*
|
|
* Return zero if coordinate is out of bound. That reproduces logic
|
|
* of how cubes with low dimension number are expanded during GiST
|
|
* indexing.
|
|
*/
|
|
result = 0.0;
|
|
}
|
|
|
|
/* Inverse value if needed */
|
|
if (inverse)
|
|
result = -result;
|
|
|
|
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_P(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_P(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_P(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_P(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_P(0);
|
|
double x = PG_GETARG_FLOAT8(1);
|
|
NDBOX *result;
|
|
int size;
|
|
int i;
|
|
|
|
if (DIM(cube) + 1 > CUBE_MAX_DIM)
|
|
ereport(ERROR,
|
|
(errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
|
|
errmsg("can't extend cube"),
|
|
errdetail("A cube cannot have more than %d dimensions.",
|
|
CUBE_MAX_DIM)));
|
|
|
|
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_P(result);
|
|
}
|
|
|
|
/* Add a dimension to an existing cube */
|
|
Datum
|
|
cube_c_f8_f8(PG_FUNCTION_ARGS)
|
|
{
|
|
NDBOX *cube = PG_GETARG_NDBOX_P(0);
|
|
double x1 = PG_GETARG_FLOAT8(1);
|
|
double x2 = PG_GETARG_FLOAT8(2);
|
|
NDBOX *result;
|
|
int size;
|
|
int i;
|
|
|
|
if (DIM(cube) + 1 > CUBE_MAX_DIM)
|
|
ereport(ERROR,
|
|
(errcode(ERRCODE_PROGRAM_LIMIT_EXCEEDED),
|
|
errmsg("can't extend cube"),
|
|
errdetail("A cube cannot have more than %d dimensions.",
|
|
CUBE_MAX_DIM)));
|
|
|
|
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_P(result);
|
|
}
|