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postgres/contrib/cube/cube.c
Heikki Linnakangas 08612f45a0 Extend cube on-disk format to pack points more tightly. 
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.
2013-10-21 22:00:15 +03:00

1592 lines
33 KiB
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/******************************************************************************
contrib/cube/cube.c
This file contains routines that can be bound to a Postgres backend and
called by the backend in the process of processing queries. The calling
format for these routines is dictated by Postgres architecture.
******************************************************************************/
#include "postgres.h"
#include <float.h>
#include <math.h>
#include "access/gist.h"
#include "access/skey.h"
#include "utils/array.h"
#include "utils/builtins.h"
#include "cubedata.h"
PG_MODULE_MAGIC;
/*
* Taken from the intarray contrib header
*/
#define ARRPTR(x) ( (double *) ARR_DATA_PTR(x) )
#define ARRNELEMS(x) ArrayGetNItems( ARR_NDIM(x), ARR_DIMS(x))
extern int cube_yyparse(NDBOX **result);
extern void cube_yyerror(NDBOX **result, const char *message);
extern void cube_scanner_init(const char *str);
extern void cube_scanner_finish(void);
/*
** Input/Output routines
*/
PG_FUNCTION_INFO_V1(cube_in);
PG_FUNCTION_INFO_V1(cube_a_f8_f8);
PG_FUNCTION_INFO_V1(cube_a_f8);
PG_FUNCTION_INFO_V1(cube_out);
PG_FUNCTION_INFO_V1(cube_f8);
PG_FUNCTION_INFO_V1(cube_f8_f8);
PG_FUNCTION_INFO_V1(cube_c_f8);
PG_FUNCTION_INFO_V1(cube_c_f8_f8);
PG_FUNCTION_INFO_V1(cube_dim);
PG_FUNCTION_INFO_V1(cube_ll_coord);
PG_FUNCTION_INFO_V1(cube_ur_coord);
PG_FUNCTION_INFO_V1(cube_subset);
Datum cube_in(PG_FUNCTION_ARGS);
Datum cube_a_f8_f8(PG_FUNCTION_ARGS);
Datum cube_a_f8(PG_FUNCTION_ARGS);
Datum cube_out(PG_FUNCTION_ARGS);
Datum cube_f8(PG_FUNCTION_ARGS);
Datum cube_f8_f8(PG_FUNCTION_ARGS);
Datum cube_c_f8(PG_FUNCTION_ARGS);
Datum cube_c_f8_f8(PG_FUNCTION_ARGS);
Datum cube_dim(PG_FUNCTION_ARGS);
Datum cube_ll_coord(PG_FUNCTION_ARGS);
Datum cube_ur_coord(PG_FUNCTION_ARGS);
Datum cube_subset(PG_FUNCTION_ARGS);
/*
** GiST support methods
*/
PG_FUNCTION_INFO_V1(g_cube_consistent);
PG_FUNCTION_INFO_V1(g_cube_compress);
PG_FUNCTION_INFO_V1(g_cube_decompress);
PG_FUNCTION_INFO_V1(g_cube_penalty);
PG_FUNCTION_INFO_V1(g_cube_picksplit);
PG_FUNCTION_INFO_V1(g_cube_union);
PG_FUNCTION_INFO_V1(g_cube_same);
Datum g_cube_consistent(PG_FUNCTION_ARGS);
Datum g_cube_compress(PG_FUNCTION_ARGS);
Datum g_cube_decompress(PG_FUNCTION_ARGS);
Datum g_cube_penalty(PG_FUNCTION_ARGS);
Datum g_cube_picksplit(PG_FUNCTION_ARGS);
Datum g_cube_union(PG_FUNCTION_ARGS);
Datum g_cube_same(PG_FUNCTION_ARGS);
/*
** B-tree support functions
*/
PG_FUNCTION_INFO_V1(cube_eq);
PG_FUNCTION_INFO_V1(cube_ne);
PG_FUNCTION_INFO_V1(cube_lt);
PG_FUNCTION_INFO_V1(cube_gt);
PG_FUNCTION_INFO_V1(cube_le);
PG_FUNCTION_INFO_V1(cube_ge);
PG_FUNCTION_INFO_V1(cube_cmp);
Datum cube_eq(PG_FUNCTION_ARGS);
Datum cube_ne(PG_FUNCTION_ARGS);
Datum cube_lt(PG_FUNCTION_ARGS);
Datum cube_gt(PG_FUNCTION_ARGS);
Datum cube_le(PG_FUNCTION_ARGS);
Datum cube_ge(PG_FUNCTION_ARGS);
Datum cube_cmp(PG_FUNCTION_ARGS);
/*
** R-tree support functions
*/
PG_FUNCTION_INFO_V1(cube_contains);
PG_FUNCTION_INFO_V1(cube_contained);
PG_FUNCTION_INFO_V1(cube_overlap);
PG_FUNCTION_INFO_V1(cube_union);
PG_FUNCTION_INFO_V1(cube_inter);
PG_FUNCTION_INFO_V1(cube_size);
Datum cube_contains(PG_FUNCTION_ARGS);
Datum cube_contained(PG_FUNCTION_ARGS);
Datum cube_overlap(PG_FUNCTION_ARGS);
Datum cube_union(PG_FUNCTION_ARGS);
Datum cube_inter(PG_FUNCTION_ARGS);
Datum cube_size(PG_FUNCTION_ARGS);
/*
** miscellaneous
*/
PG_FUNCTION_INFO_V1(cube_distance);
PG_FUNCTION_INFO_V1(cube_is_point);
PG_FUNCTION_INFO_V1(cube_enlarge);
Datum cube_distance(PG_FUNCTION_ARGS);
Datum cube_is_point(PG_FUNCTION_ARGS);
Datum cube_enlarge(PG_FUNCTION_ARGS);
/*
** For internal use only
*/
int32 cube_cmp_v0(NDBOX *a, NDBOX *b);
bool cube_contains_v0(NDBOX *a, NDBOX *b);
bool cube_overlap_v0(NDBOX *a, NDBOX *b);
NDBOX *cube_union_v0(NDBOX *a, NDBOX *b);
void rt_cube_size(NDBOX *a, double *sz);
NDBOX *g_cube_binary_union(NDBOX *r1, NDBOX *r2, int *sizep);
bool g_cube_leaf_consistent(NDBOX *key, NDBOX *query, StrategyNumber strategy);
bool g_cube_internal_consistent(NDBOX *key, NDBOX *query, StrategyNumber strategy);
/*
** Auxiliary funxtions
*/
static double distance_1D(double a1, double a2, double b1, double b2);
static bool cube_is_point_internal(NDBOX *cube);
/*****************************************************************************
* Input/Output functions
*****************************************************************************/
/* NdBox = [(lowerleft),(upperright)] */
/* [(xLL(1)...xLL(N)),(xUR(1)...xUR(n))] */
Datum
cube_in(PG_FUNCTION_ARGS)
{
char *str = PG_GETARG_CSTRING(0);
NDBOX *result;
cube_scanner_init(str);
if (cube_yyparse(&result) != 0)
cube_yyerror(&result, "bogus input");
cube_scanner_finish();
PG_RETURN_NDBOX(result);
}
/*
** Allows the construction of a cube from 2 float[]'s
*/
Datum
cube_a_f8_f8(PG_FUNCTION_ARGS)
{
ArrayType *ur = PG_GETARG_ARRAYTYPE_P(0);
ArrayType *ll = PG_GETARG_ARRAYTYPE_P(1);
NDBOX *result;
int i;
int dim;
int size;
bool point;
double *dur,
*dll;
if (array_contains_nulls(ur) || array_contains_nulls(ll))
ereport(ERROR,
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
errmsg("cannot work with arrays containing NULLs")));
dim = ARRNELEMS(ur);
if (ARRNELEMS(ll) != dim)
ereport(ERROR,
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
errmsg("UR and LL arrays must be of same length")));
dur = ARRPTR(ur);
dll = ARRPTR(ll);
/* Check if it's a point */
point = true;
for (i = 0; i < dim; i++)
{
if (dur[i] != dll[i])
{
point = false;
break;
}
}
size = point ? POINT_SIZE(dim) : CUBE_SIZE(dim);
result = (NDBOX *) palloc0(size);
SET_VARSIZE(result, size);
SET_DIM(result, dim);
for (i = 0; i < dim; i++)
result->x[i] = dur[i];
if (!point)
{
for (i = 0; i < dim; i++)
result->x[i + dim] = dll[i];
}
else
SET_POINT_BIT(result);
PG_RETURN_NDBOX(result);
}
/*
** Allows the construction of a zero-volume cube from a float[]
*/
Datum
cube_a_f8(PG_FUNCTION_ARGS)
{
ArrayType *ur = PG_GETARG_ARRAYTYPE_P(0);
NDBOX *result;
int i;
int dim;
int size;
double *dur;
if (array_contains_nulls(ur))
ereport(ERROR,
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
errmsg("cannot work with arrays containing NULLs")));
dim = ARRNELEMS(ur);
dur = ARRPTR(ur);
size = POINT_SIZE(dim);
result = (NDBOX *) palloc0(size);
SET_VARSIZE(result, size);
SET_DIM(result, dim);
SET_POINT_BIT(result);
for (i = 0; i < dim; i++)
result->x[i] = dur[i];
PG_RETURN_NDBOX(result);
}
Datum
cube_subset(PG_FUNCTION_ARGS)
{
NDBOX *c = PG_GETARG_NDBOX(0);
ArrayType *idx = PG_GETARG_ARRAYTYPE_P(1);
NDBOX *result;
int size,
dim,
i;
int *dx;
if (array_contains_nulls(idx))
ereport(ERROR,
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
errmsg("cannot work with arrays containing NULLs")));
dx = (int32 *) ARR_DATA_PTR(idx);
dim = ARRNELEMS(idx);
size = IS_POINT(c) ? POINT_SIZE(dim) : CUBE_SIZE(dim);
result = (NDBOX *) palloc0(size);
SET_VARSIZE(result, size);
SET_DIM(result, dim);
if (IS_POINT(c))
SET_POINT_BIT(result);
for (i = 0; i < dim; i++)
{
if ((dx[i] <= 0) || (dx[i] > DIM(c)))
{
pfree(result);
ereport(ERROR,
(errcode(ERRCODE_ARRAY_ELEMENT_ERROR),
errmsg("Index out of bounds")));
}
result->x[i] = c->x[dx[i] - 1];
if (!IS_POINT(c))
result->x[i + dim] = c->x[dx[i] + DIM(c) - 1];
}
PG_FREE_IF_COPY(c, 0);
PG_RETURN_NDBOX(result);
}
Datum
cube_out(PG_FUNCTION_ARGS)
{
NDBOX *cube = PG_GETARG_NDBOX(0);
StringInfoData buf;
int dim = DIM(cube);
int i;
int ndig;
initStringInfo(&buf);
/*
* Get the number of digits to display.
*/
ndig = DBL_DIG + extra_float_digits;
if (ndig < 1)
ndig = 1;
/*
* while printing the first (LL) corner, check if it is equal to the
* second one
*/
appendStringInfoChar(&buf, '(');
for (i = 0; i < dim; i++)
{
if (i > 0)
appendStringInfo(&buf, ", ");
appendStringInfo(&buf, "%.*g", ndig, LL_COORD(cube, i));
}
appendStringInfoChar(&buf, ')');
if (!cube_is_point_internal(cube))
{
appendStringInfo(&buf, ",(");
for (i = 0; i < dim; i++)
{
if (i > 0)
appendStringInfo(&buf, ", ");
appendStringInfo(&buf, "%.*g", ndig, UR_COORD(cube, i));
}
appendStringInfoChar(&buf, ')');
}
PG_FREE_IF_COPY(cube, 0);
PG_RETURN_CSTRING(buf.data);
}
/*****************************************************************************
* GiST functions
*****************************************************************************/
/*
** The GiST Consistent method for boxes
** Should return false if for all data items x below entry,
** the predicate x op query == FALSE, where op is the oper
** corresponding to strategy in the pg_amop table.
*/
Datum
g_cube_consistent(PG_FUNCTION_ARGS)
{
GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
NDBOX *query = PG_GETARG_NDBOX(1);
StrategyNumber strategy = (StrategyNumber) PG_GETARG_UINT16(2);
/* Oid subtype = PG_GETARG_OID(3); */
bool *recheck = (bool *) PG_GETARG_POINTER(4);
bool res;
/* All cases served by this function are exact */
*recheck = false;
/*
* if entry is not leaf, use g_cube_internal_consistent, else use
* g_cube_leaf_consistent
*/
if (GIST_LEAF(entry))
res = g_cube_leaf_consistent(DatumGetNDBOX(entry->key),
query, strategy);
else
res = g_cube_internal_consistent(DatumGetNDBOX(entry->key),
query, strategy);
PG_FREE_IF_COPY(query, 1);
PG_RETURN_BOOL(res);
}
/*
** The GiST Union method for boxes
** returns the minimal bounding box that encloses all the entries in entryvec
*/
Datum
g_cube_union(PG_FUNCTION_ARGS)
{
GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
int *sizep = (int *) PG_GETARG_POINTER(1);
NDBOX *out = (NDBOX *) NULL;
NDBOX *tmp;
int i;
/*
* fprintf(stderr, "union\n");
*/
tmp = DatumGetNDBOX(entryvec->vector[0].key);
/*
* sizep = sizeof(NDBOX); -- NDBOX has variable size
*/
*sizep = VARSIZE(tmp);
for (i = 1; i < entryvec->n; i++)
{
out = g_cube_binary_union(tmp,
DatumGetNDBOX(entryvec->vector[i].key),
sizep);
tmp = out;
}
PG_RETURN_POINTER(out);
}
/*
** GiST Compress and Decompress methods for boxes
** do not do anything.
*/
Datum
g_cube_compress(PG_FUNCTION_ARGS)
{
PG_RETURN_DATUM(PG_GETARG_DATUM(0));
}
Datum
g_cube_decompress(PG_FUNCTION_ARGS)
{
GISTENTRY *entry = (GISTENTRY *) PG_GETARG_POINTER(0);
NDBOX *key = DatumGetNDBOX(PG_DETOAST_DATUM(entry->key));
if (key != DatumGetNDBOX(entry->key))
{
GISTENTRY *retval = (GISTENTRY *) palloc(sizeof(GISTENTRY));
gistentryinit(*retval, PointerGetDatum(key),
entry->rel, entry->page,
entry->offset, FALSE);
PG_RETURN_POINTER(retval);
}
PG_RETURN_POINTER(entry);
}
/*
** The GiST Penalty method for boxes
** As in the R-tree paper, we use change in area as our penalty metric
*/
Datum
g_cube_penalty(PG_FUNCTION_ARGS)
{
GISTENTRY *origentry = (GISTENTRY *) PG_GETARG_POINTER(0);
GISTENTRY *newentry = (GISTENTRY *) PG_GETARG_POINTER(1);
float *result = (float *) PG_GETARG_POINTER(2);
NDBOX *ud;
double tmp1,
tmp2;
ud = cube_union_v0(DatumGetNDBOX(origentry->key),
DatumGetNDBOX(newentry->key));
rt_cube_size(ud, &tmp1);
rt_cube_size(DatumGetNDBOX(origentry->key), &tmp2);
*result = (float) (tmp1 - tmp2);
/*
* fprintf(stderr, "penalty\n"); fprintf(stderr, "\t%g\n", *result);
*/
PG_RETURN_FLOAT8(*result);
}
/*
** The GiST PickSplit method for boxes
** We use Guttman's poly time split algorithm
*/
Datum
g_cube_picksplit(PG_FUNCTION_ARGS)
{
GistEntryVector *entryvec = (GistEntryVector *) PG_GETARG_POINTER(0);
GIST_SPLITVEC *v = (GIST_SPLITVEC *) PG_GETARG_POINTER(1);
OffsetNumber i,
j;
NDBOX *datum_alpha,
*datum_beta;
NDBOX *datum_l,
*datum_r;
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);
}
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