Re: Strange behavior with polygon and NaN - Mailing list pgsql-hackers
From | Kyotaro Horiguchi |
---|---|
Subject | Re: Strange behavior with polygon and NaN |
Date | |
Msg-id | 20200827.202412.479356179938754961.horikyota.ntt@gmail.com Whole thread Raw |
In response to | Re: Strange behavior with polygon and NaN (Tom Lane <tgl@sss.pgh.pa.us>) |
Responses |
Re: Strange behavior with polygon and NaN
|
List | pgsql-hackers |
At Wed, 26 Aug 2020 08:18:49 -0400, Tom Lane <tgl@sss.pgh.pa.us> wrote in > Kyotaro Horiguchi <horikyota.ntt@gmail.com> writes: > > At Tue, 25 Aug 2020 19:03:50 -0400, Bruce Momjian <bruce@momjian.us> wrote in > >> I can confirm that this two-month old email report still produces > >> different results with indexes on/off in git master, which I don't think > >> is ever correct behavior. > > > I agree to that the behavior is broken. > > Yeah, but ... what is "non broken" in this case? I'm not convinced > that having point_inside() return zero for any case involving NaN > is going to lead to noticeably saner behavior than today. Yes, just doing that leaves many unfixed behavior come from NaNs, but at least it seems to me one of sane definition candidates that a point cannot be inside a polygon when NaN is involved. It's similar to Fpxx() returns false if NaN is involved. As mentioned, I had't fully checked and haven't considered this seriously, but I changed my mind to check all the callers. I started checking all the callers of point_inside, then finally I had to check all functions in geo_ops.c:( The attached is the result as of now. === Resulting behavior With the attached: - All boolean functions return false if NaN is involved. - All float8 functions return NaN if NaN is involved. - All geometric arithmetics return NaN as output if NaN is involved. With some exceptions: - line_eq: needs to consider that NaNs are equal each other. - point_eq/ne (point_eq_pint): ditto - lseg_eq/ne: ditto The change makes some difference in the regression test. For example, <obj containing NaN> <-> <any obj> changed from 0 to NaN. (distance) <obj containing NaN> <@ <any obj> changed from true to false. (contained) <obj containing NaN> <-> <any obj> changed from 0 to NaN. (distance) <obj containing NaN> ?# <any obj> changed from true to false (overlaps) === pg_hypot mistake? I noticed that pg_hypot returns inf for the parameters (NaN, Inf) but I think NaN is appropriate here since other operators behaves that way. This change causes a change of distance between point(1e+300,Inf) and line (1,-1,0) from infinity to NaN, which I think is correct because the arithmetic generates NaN as an intermediate value. === Infinity annoyances Infinity makes some not-great changes in regresssion results. For example: - point '(1e+300,Infinity)' <-> path '((10,20))' returns NaN(previously Infinity), but point '(1e+300,Infinity)' <-> path '[(1,2),(3,4)]' returns Infinity. The difference of the two expressions is whether (0 * Inf = NaN) is performed or not. The former performs it but that was concealed by not propagating NaN to upper layer without the patch. - Without the patch, point '(1e+300,Infinity)' ## box '(2,2),(0,0)' generates '(0,2)', which is utterly wrong. It is because box_closept_point evaluates float8_lt(Inf, NaN) as true(!) and sets the wrong point for distance=NaN is set. With the patch, the NaN makes the result NULL. - This is not a difference caused by this patch, but for both patched and unpatched, point '(1e+300,Inf)' <-> line '{3,0,0}' returns NaN, which should be 1e+300. However, the behavior comes from arithmetic reasons and wouldn't be a problem. create_index.out is changed since point(NaN,NaN) <@ polygon changed from true to false, which seems rather saner. I haven't checked unchanged results but at least changed results seems saner to me. regards. -- Kyotaro Horiguchi NTT Open Source Software Center From 432a671517e78061edc87d18aec291f5629fcbe6 Mon Sep 17 00:00:00 2001 From: Kyotaro Horiguchi <horikyoga.ntt@gmail.com> Date: Thu, 27 Aug 2020 14:49:21 +0900 Subject: [PATCH v1] Fix NaN handling of some geometric operators and functions Some geometric operators shows somewhat odd behavior comes from NaN handling and that leads to inconsistency between index scan and seq scan on geometric conditions. For example: point '(NaN,NaN)' <-> polygon '((0,0),(0,1),(1,1))' => 0, not NaN point '(0.3,0.5)' <-> polygon '((0,0),(0,NaN),(1,1))' => 1.14, not NaN point '(NaN,NaN)' <@ polygon '((0,0),(0,1),(1,1))' => true, not false Some other functions returned totally wrong result like this: point '(1e+300,Infinity)' ## box '(2,2),(0,0)' => '(0,2)' Fix NaN handling of geo_ops.c so that these generates saner results. --- src/backend/utils/adt/geo_ops.c | 183 ++++++++++++++++-- src/test/regress/expected/create_index.out | 2 +- src/test/regress/expected/geometry.out | 209 +++++++++------------ 3 files changed, 248 insertions(+), 146 deletions(-) diff --git a/src/backend/utils/adt/geo_ops.c b/src/backend/utils/adt/geo_ops.c index a7db783958..916ae87d05 100644 --- a/src/backend/utils/adt/geo_ops.c +++ b/src/backend/utils/adt/geo_ops.c @@ -904,9 +904,19 @@ box_intersect(PG_FUNCTION_ARGS) result = (BOX *) palloc(sizeof(BOX)); - result->high.x = float8_min(box1->high.x, box2->high.x); + /* float8_min conceals NaN, check separately for NaNs */ + if (unlikely(isnan(box1->high.x) || isnan(box2->high.x))) + result->high.x = get_float8_nan(); + else + result->high.x = float8_min(box1->high.x, box2->high.x); + result->low.x = float8_max(box1->low.x, box2->low.x); - result->high.y = float8_min(box1->high.y, box2->high.y); + + if (unlikely(isnan(box1->high.y) || isnan(box2->high.y))) + result->high.x = get_float8_nan(); + else + result->high.y = float8_min(box1->high.y, box2->high.y); + result->low.y = float8_max(box1->low.y, box2->low.y); PG_RETURN_BOX_P(result); @@ -1061,6 +1071,10 @@ line_construct(LINE *result, Point *pt, float8 m) result->A = -1.0; result->B = 0.0; result->C = pt->x; + + /* Avoid creating a valid line from an invalid point */ + if (unlikely(isnan(pt->y))) + result->C = get_float8_nan(); } else { @@ -1084,6 +1098,7 @@ line_construct_pp(PG_FUNCTION_ARGS) Point *pt2 = PG_GETARG_POINT_P(1); LINE *result = (LINE *) palloc(sizeof(LINE)); + /* NaNs are considered to be equal by point_eq_point */ if (point_eq_point(pt1, pt2)) ereport(ERROR, (errcode(ERRCODE_INVALID_PARAMETER_VALUE), @@ -1104,8 +1119,12 @@ line_intersect(PG_FUNCTION_ARGS) { LINE *l1 = PG_GETARG_LINE_P(0); LINE *l2 = PG_GETARG_LINE_P(1); + Point xp; - PG_RETURN_BOOL(line_interpt_line(NULL, l1, l2)); + if (line_interpt_line(&xp, l1, l2) && !isnan(xp.x) && !isnan(xp.y)) + PG_RETURN_BOOL(true); + else + PG_RETURN_BOOL(false); } Datum @@ -1123,14 +1142,17 @@ line_perp(PG_FUNCTION_ARGS) LINE *l1 = PG_GETARG_LINE_P(0); LINE *l2 = PG_GETARG_LINE_P(1); + if (unlikely(isnan(l1->C) || isnan(l2->C))) + return false; + if (FPzero(l1->A)) - PG_RETURN_BOOL(FPzero(l2->B)); + PG_RETURN_BOOL(FPzero(l2->B) && !isnan(l1->B) && !isnan(l2->A)); if (FPzero(l2->A)) - PG_RETURN_BOOL(FPzero(l1->B)); + PG_RETURN_BOOL(FPzero(l1->B) && !isnan(l2->B) && !isnan(l1->A)); if (FPzero(l1->B)) - PG_RETURN_BOOL(FPzero(l2->A)); + PG_RETURN_BOOL(FPzero(l2->A) && !isnan(l1->A) && !isnan(l2->B)); if (FPzero(l2->B)) - PG_RETURN_BOOL(FPzero(l1->A)); + PG_RETURN_BOOL(FPzero(l1->A) && !isnan(l2->A) && !isnan(l1->B)); PG_RETURN_BOOL(FPeq(float8_div(float8_mul(l1->A, l2->A), float8_mul(l1->B, l2->B)), -1.0)); @@ -1141,7 +1163,7 @@ line_vertical(PG_FUNCTION_ARGS) { LINE *line = PG_GETARG_LINE_P(0); - PG_RETURN_BOOL(FPzero(line->B)); + PG_RETURN_BOOL(FPzero(line->B) && !isnan(line->A) && !isnan(line->C)); } Datum @@ -1149,7 +1171,7 @@ line_horizontal(PG_FUNCTION_ARGS) { LINE *line = PG_GETARG_LINE_P(0); - PG_RETURN_BOOL(FPzero(line->A)); + PG_RETURN_BOOL(FPzero(line->A) && !isnan(line->B) && !isnan(line->C)); } @@ -1195,9 +1217,19 @@ static inline float8 line_sl(LINE *line) { if (FPzero(line->A)) + { + /* C is likely to be NaN than B */ + if (unlikely(isnan(line->C) || isnan(line->B))) + return get_float8_nan(); return 0.0; + } if (FPzero(line->B)) + { + /* C is likely to be NaN than A */ + if (unlikely(isnan(line->C) || isnan(line->A))) + return get_float8_nan(); return DBL_MAX; + } return float8_div(line->A, -line->B); } @@ -1209,9 +1241,19 @@ static inline float8 line_invsl(LINE *line) { if (FPzero(line->A)) + { + /* C is likely to be NaN than B */ + if (unlikely(isnan(line->C) || isnan(line->B))) + return get_float8_nan(); return DBL_MAX; + } if (FPzero(line->B)) + { + /* C is likely to be NaN than A */ + if (unlikely(isnan(line->C) || isnan(line->A))) + return get_float8_nan(); return 0.0; + } return float8_div(line->B, line->A); } @@ -1224,14 +1266,23 @@ line_distance(PG_FUNCTION_ARGS) { LINE *l1 = PG_GETARG_LINE_P(0); LINE *l2 = PG_GETARG_LINE_P(1); + Point xp; float8 ratio; - if (line_interpt_line(NULL, l1, l2)) /* intersecting? */ + if (line_interpt_line(&xp, l1, l2)) /* intersecting? */ + { + /* return NaN if NaN was involved */ + if (isnan(xp.x) || isnan(xp.y)) + PG_RETURN_FLOAT8(get_float8_nan()); + PG_RETURN_FLOAT8(0.0); + } - if (!FPzero(l1->A) && !isnan(l1->A) && !FPzero(l2->A) && !isnan(l2->A)) + if (unlikely(isnan(l1->A) || isnan(l1->B) || isnan(l2->A) || isnan(l2->B))) + ratio = get_float8_nan(); + else if (!FPzero(l1->A) && !FPzero(l2->A)) ratio = float8_div(l1->A, l2->A); - else if (!FPzero(l1->B) && !isnan(l1->B) && !FPzero(l2->B) && !isnan(l2->B)) + else if (!FPzero(l1->B) && !FPzero(l2->B)) ratio = float8_div(l1->B, l2->B); else ratio = 1.0; @@ -1626,18 +1677,32 @@ path_inter(PG_FUNCTION_ARGS) b1.high.y = b1.low.y = p1->p[0].y; for (i = 1; i < p1->npts; i++) { + /* float8_min conceals NaN, check separately for NaNs */ b1.high.x = float8_max(p1->p[i].x, b1.high.x); b1.high.y = float8_max(p1->p[i].y, b1.high.y); - b1.low.x = float8_min(p1->p[i].x, b1.low.x); + if (unlikely(isnan(p1->p[i].x))) + b1.low.x = p1->p[i].x; + else + b1.low.x = float8_min(p1->p[i].x, b1.low.x); + if (unlikely(isnan(p1->p[i].y))) + b1.low.x = p1->p[i].y; + else b1.low.y = float8_min(p1->p[i].y, b1.low.y); } b2.high.x = b2.low.x = p2->p[0].x; b2.high.y = b2.low.y = p2->p[0].y; for (i = 1; i < p2->npts; i++) { + /* float8_min conceals NaN, check separately for NaNs */ b2.high.x = float8_max(p2->p[i].x, b2.high.x); b2.high.y = float8_max(p2->p[i].y, b2.high.y); - b2.low.x = float8_min(p2->p[i].x, b2.low.x); + if (unlikely(isnan(p2->p[i].x))) + b2.low.x = p2->p[i].x; + else + b2.low.x = float8_min(p2->p[i].x, b2.low.x); + if (unlikely(isnan(p2->p[i].y))) + b2.low.y = p1->p[i].y; + else b2.low.y = float8_min(p2->p[i].y, b2.low.y); } if (!box_ov(&b1, &b2)) @@ -1728,6 +1793,11 @@ path_distance(PG_FUNCTION_ARGS) statlseg_construct(&seg2, &p2->p[jprev], &p2->p[j]); tmp = lseg_closept_lseg(NULL, &seg1, &seg2); + + /* return NULL immediately if NaN is involved */ + if (isnan(tmp)) + PG_RETURN_NULL(); + if (!have_min || float8_lt(tmp, min)) { min = tmp; @@ -1980,9 +2050,17 @@ static inline float8 point_sl(Point *pt1, Point *pt2) { if (FPeq(pt1->x, pt2->x)) + { + if (unlikely(isnan(pt1->y) || isnan(pt2->y))) + return get_float8_nan(); return DBL_MAX; + } if (FPeq(pt1->y, pt2->y)) + { + if (unlikely(isnan(pt1->x) || isnan(pt2->x))) + return get_float8_nan(); return 0.0; + } return float8_div(float8_mi(pt1->y, pt2->y), float8_mi(pt1->x, pt2->x)); } @@ -1996,9 +2074,17 @@ static inline float8 point_invsl(Point *pt1, Point *pt2) { if (FPeq(pt1->x, pt2->x)) + { + if (unlikely(isnan(pt1->y) || isnan(pt2->y))) + return get_float8_nan(); return 0.0; + } if (FPeq(pt1->y, pt2->y)) + { + if (unlikely(isnan(pt1->x) || isnan(pt2->x))) + return get_float8_nan(); return DBL_MAX; + } return float8_div(float8_mi(pt1->x, pt2->x), float8_mi(pt2->y, pt1->y)); } @@ -2414,6 +2500,11 @@ dist_ppath_internal(Point *pt, PATH *path) statlseg_construct(&lseg, &path->p[iprev], &path->p[i]); tmp = lseg_closept_point(NULL, &lseg, pt); + + /* return NaN if NaN is involved */ + if (unlikely(isnan(tmp))) + return tmp; + if (!have_min || float8_lt(tmp, result)) { result = tmp; @@ -2645,6 +2736,8 @@ dist_ppoly_internal(Point *pt, POLYGON *poly) d = lseg_closept_point(NULL, &seg, pt); if (float8_lt(d, result)) result = d; + else if (unlikely(isnan(d))) + return get_float8_nan(); } return result; @@ -2674,7 +2767,8 @@ lseg_interpt_line(Point *result, LSEG *lseg, LINE *line) * intersection point, we are done. */ line_construct(&tmp, &lseg->p[0], lseg_sl(lseg)); - if (!line_interpt_line(&interpt, &tmp, line)) + if (!line_interpt_line(&interpt, &tmp, line) || + unlikely(isnan(interpt.x) || isnan(interpt.y))) return false; /* @@ -2803,6 +2897,7 @@ lseg_closept_lseg(Point *result, LSEG *on_lseg, LSEG *to_lseg) Point point; float8 dist, d; + bool isnan = false; /* First, we handle the case when the line segments are intersecting. */ if (lseg_interpt_lseg(result, on_lseg, to_lseg)) @@ -2814,6 +2909,7 @@ lseg_closept_lseg(Point *result, LSEG *on_lseg, LSEG *to_lseg) */ dist = lseg_closept_point(result, on_lseg, &to_lseg->p[0]); d = lseg_closept_point(&point, on_lseg, &to_lseg->p[1]); + isnan |= (isnan(dist) || isnan(d)); if (float8_lt(d, dist)) { dist = d; @@ -2823,6 +2919,7 @@ lseg_closept_lseg(Point *result, LSEG *on_lseg, LSEG *to_lseg) /* The closest point can still be one of the endpoints, so we test them. */ d = lseg_closept_point(NULL, to_lseg, &on_lseg->p[0]); + isnan |= isnan(d); if (float8_lt(d, dist)) { dist = d; @@ -2830,6 +2927,7 @@ lseg_closept_lseg(Point *result, LSEG *on_lseg, LSEG *to_lseg) *result = on_lseg->p[0]; } d = lseg_closept_point(NULL, to_lseg, &on_lseg->p[1]); + isnan |= isnan(d); if (float8_lt(d, dist)) { dist = d; @@ -2837,6 +2935,12 @@ lseg_closept_lseg(Point *result, LSEG *on_lseg, LSEG *to_lseg) *result = on_lseg->p[1]; } + if (unlikely(isnan)) + { + if (result != NULL) + result->x = result->y = get_float8_nan(); + return get_float8_nan(); + } return dist; } @@ -2873,6 +2977,7 @@ box_closept_point(Point *result, BOX *box, Point *pt) Point point, closept; LSEG lseg; + bool isnan = false; if (box_contain_point(box, pt)) { @@ -2887,9 +2992,10 @@ box_closept_point(Point *result, BOX *box, Point *pt) point.y = box->high.y; statlseg_construct(&lseg, &box->low, &point); dist = lseg_closept_point(result, &lseg, pt); - + isnan |= isnan(dist); statlseg_construct(&lseg, &box->high, &point); d = lseg_closept_point(&closept, &lseg, pt); + isnan |= isnan(d); if (float8_lt(d, dist)) { dist = d; @@ -2901,6 +3007,7 @@ box_closept_point(Point *result, BOX *box, Point *pt) point.y = box->low.y; statlseg_construct(&lseg, &box->low, &point); d = lseg_closept_point(&closept, &lseg, pt); + isnan |= isnan(d); if (float8_lt(d, dist)) { dist = d; @@ -2910,6 +3017,7 @@ box_closept_point(Point *result, BOX *box, Point *pt) statlseg_construct(&lseg, &box->high, &point); d = lseg_closept_point(&closept, &lseg, pt); + isnan |= isnan(d); if (float8_lt(d, dist)) { dist = d; @@ -2917,6 +3025,13 @@ box_closept_point(Point *result, BOX *box, Point *pt) *result = closept; } + if (unlikely(isnan)) + { + if (result != NULL) + result->x = result->y = get_float8_nan(); + return get_float8_nan(); + } + return dist; } @@ -2988,6 +3103,7 @@ close_sl(PG_FUNCTION_ARGS) * even because of simple roundoff issues, there may not be a single closest * point. We are likely to set the result to the second endpoint in these * cases. + * Returns Nan and stores {NaN,NaN} to result if NaN is involved, */ static float8 lseg_closept_line(Point *result, LSEG *lseg, LINE *line) @@ -3010,6 +3126,14 @@ lseg_closept_line(Point *result, LSEG *lseg, LINE *line) } else { + /* return NaN if any of the two is NaN */ + if (unlikely(isnan(dist1) || isnan(dist2))) + { + if (result != NULL) + result->x = result->y = get_float8_nan(); + return get_float8_nan(); + } + if (result != NULL) *result = lseg->p[1]; @@ -3436,6 +3560,12 @@ make_bound_box(POLYGON *poly) y2 = y1 = poly->p[0].y; for (i = 1; i < poly->npts; i++) { + /* if NaN found, make an invalid boundbox */ + if (unlikely(isnan(poly->p[i].x) || isnan(poly->p[i].y))) + { + x1 = x2 = y1 = y2 = get_float8_nan(); + break; + } if (float8_lt(poly->p[i].x, x1)) x1 = poly->p[i].x; if (float8_gt(poly->p[i].x, x2)) @@ -3911,6 +4041,11 @@ lseg_inside_poly(Point *a, Point *b, POLYGON *poly, int start) t.p[1] = *b; s.p[0] = poly->p[(start == 0) ? (poly->npts - 1) : (start - 1)]; + /* Fast path. Check against boundbox. Also checks NaNs. */ + if (!box_contain_point(&poly->boundbox, a) || + !box_contain_point(&poly->boundbox, b)) + return false; + for (i = start; i < poly->npts && res; i++) { Point interpt; @@ -5350,6 +5485,10 @@ point_inside(Point *p, int npts, Point *plist) x0 = float8_mi(plist[0].x, p->x); y0 = float8_mi(plist[0].y, p->y); + /* NaN makes the point cannot be inside the polygon */ + if (unlikely(isnan(x0) || isnan(y0) || isnan(p->x) || isnan(p->y))) + return 0; + prev_x = x0; prev_y = y0; /* loop over polygon points and aggregate total_cross */ @@ -5359,6 +5498,10 @@ point_inside(Point *p, int npts, Point *plist) x = float8_mi(plist[i].x, p->x); y = float8_mi(plist[i].y, p->y); + /* NaN makes the point cannot be inside the polygon */ + if (unlikely(isnan(x) || isnan(y))) + return 0; + /* compute previous to current point crossing */ if ((cross = lseg_crossing(x, y, prev_x, prev_y)) == POINT_ON_POLYGON) return 2; @@ -5517,12 +5660,12 @@ pg_hypot(float8 x, float8 y) result; /* Handle INF and NaN properly */ - if (isinf(x) || isinf(y)) + if (unlikely(isnan(x) || isnan(y))) + return get_float8_nan(); + + if (unlikely(isinf(x) || isinf(y))) return get_float8_infinity(); - if (isnan(x) || isnan(y)) - return get_float8_nan(); - /* Else, drop any minus signs */ x = fabs(x); y = fabs(y); diff --git a/src/test/regress/expected/create_index.out b/src/test/regress/expected/create_index.out index e3e6634d7e..5382259159 100644 --- a/src/test/regress/expected/create_index.out +++ b/src/test/regress/expected/create_index.out @@ -139,7 +139,7 @@ SELECT count(*) FROM point_tbl WHERE box '(0,0,100,100)' @> f1; SELECT count(*) FROM point_tbl WHERE f1 <@ polygon '(0,0),(0,100),(100,100),(50,50),(100,0),(0,0)'; count ------- - 5 + 4 (1 row) SELECT count(*) FROM point_tbl WHERE f1 <@ circle '<(50,50),50>'; diff --git a/src/test/regress/expected/geometry.out b/src/test/regress/expected/geometry.out index 5b9d37030f..cad0716915 100644 --- a/src/test/regress/expected/geometry.out +++ b/src/test/regress/expected/geometry.out @@ -494,9 +494,9 @@ SELECT p.f1, l.s, p.f1 <-> l.s AS dist_pl, l.s <-> p.f1 AS dist_lp FROM POINT_TB (1e+300,Infinity) | {0,-1,5} | Infinity | Infinity (1e+300,Infinity) | {1,0,5} | NaN | NaN (1e+300,Infinity) | {0,3,0} | Infinity | Infinity - (1e+300,Infinity) | {1,-1,0} | Infinity | Infinity - (1e+300,Infinity) | {-0.4,-1,-6} | Infinity | Infinity - (1e+300,Infinity) | {-0.000184615384615,-1,15.3846153846} | Infinity | Infinity + (1e+300,Infinity) | {1,-1,0} | NaN | NaN + (1e+300,Infinity) | {-0.4,-1,-6} | NaN | NaN + (1e+300,Infinity) | {-0.000184615384615,-1,15.3846153846} | NaN | NaN (1e+300,Infinity) | {3,NaN,5} | NaN | NaN (1e+300,Infinity) | {NaN,NaN,NaN} | NaN | NaN (1e+300,Infinity) | {0,-1,3} | Infinity | Infinity @@ -580,9 +580,9 @@ SELECT p.f1, l.s, p.f1 <-> l.s AS dist_ps, l.s <-> p.f1 AS dist_sp FROM POINT_TB (1e+300,Infinity) | [(10,-10),(-3,-4)] | Infinity | Infinity (1e+300,Infinity) | [(-1000000,200),(300000,-40)] | Infinity | Infinity (1e+300,Infinity) | [(11,22),(33,44)] | Infinity | Infinity - (1e+300,Infinity) | [(-10,2),(-10,3)] | Infinity | Infinity + (1e+300,Infinity) | [(-10,2),(-10,3)] | NaN | NaN (1e+300,Infinity) | [(0,-20),(30,-20)] | Infinity | Infinity - (1e+300,Infinity) | [(NaN,1),(NaN,90)] | Infinity | Infinity + (1e+300,Infinity) | [(NaN,1),(NaN,90)] | NaN | NaN (NaN,NaN) | [(1,2),(3,4)] | NaN | NaN (NaN,NaN) | [(0,0),(6,6)] | NaN | NaN (NaN,NaN) | [(10,-10),(-3,-4)] | NaN | NaN @@ -635,11 +635,11 @@ SELECT p.f1, b.f1, p.f1 <-> b.f1 AS dist_pb, b.f1 <-> p.f1 AS dist_bp FROM POINT (1e-300,-1e-300) | (-2,2),(-8,-10) | 2 | 2 (1e-300,-1e-300) | (2.5,3.5),(2.5,2.5) | 3.53553390593 | 3.53553390593 (1e-300,-1e-300) | (3,3),(3,3) | 4.24264068712 | 4.24264068712 - (1e+300,Infinity) | (2,2),(0,0) | Infinity | Infinity - (1e+300,Infinity) | (3,3),(1,1) | Infinity | Infinity - (1e+300,Infinity) | (-2,2),(-8,-10) | Infinity | Infinity - (1e+300,Infinity) | (2.5,3.5),(2.5,2.5) | Infinity | Infinity - (1e+300,Infinity) | (3,3),(3,3) | Infinity | Infinity + (1e+300,Infinity) | (2,2),(0,0) | NaN | NaN + (1e+300,Infinity) | (3,3),(1,1) | NaN | NaN + (1e+300,Infinity) | (-2,2),(-8,-10) | NaN | NaN + (1e+300,Infinity) | (2.5,3.5),(2.5,2.5) | NaN | NaN + (1e+300,Infinity) | (3,3),(3,3) | NaN | NaN (NaN,NaN) | (2,2),(0,0) | NaN | NaN (NaN,NaN) | (3,3),(1,1) | NaN | NaN (NaN,NaN) | (-2,2),(-8,-10) | NaN | NaN @@ -716,7 +716,7 @@ SELECT p.f1, p1.f1, p.f1 <-> p1.f1 AS dist_ppath, p1.f1 <-> p.f1 AS dist_pathp F (1e+300,Infinity) | ((1,2),(3,4)) | Infinity | Infinity (1e+300,Infinity) | ((1,2),(3,4)) | Infinity | Infinity (1e+300,Infinity) | [(1,2),(3,4)] | Infinity | Infinity - (1e+300,Infinity) | ((10,20)) | Infinity | Infinity + (1e+300,Infinity) | ((10,20)) | NaN | NaN (1e+300,Infinity) | [(11,12),(13,14)] | Infinity | Infinity (1e+300,Infinity) | ((11,12),(13,14)) | Infinity | Infinity (NaN,NaN) | [(1,2),(3,4)] | NaN | NaN @@ -785,20 +785,20 @@ SELECT p.f1, p1.f1, p.f1 <-> p1.f1 AS dist_ppoly, p1.f1 <-> p.f1 AS dist_polyp F (1e-300,-1e-300) | ((1,2),(7,8),(5,6),(3,-4)) | 1.58113883008 | 1.58113883008 (1e-300,-1e-300) | ((0,0)) | 0 | 0 (1e-300,-1e-300) | ((0,1),(0,1)) | 1 | 1 - (1e+300,Infinity) | ((2,0),(2,4),(0,0)) | Infinity | Infinity - (1e+300,Infinity) | ((3,1),(3,3),(1,0)) | Infinity | Infinity + (1e+300,Infinity) | ((2,0),(2,4),(0,0)) | NaN | NaN + (1e+300,Infinity) | ((3,1),(3,3),(1,0)) | NaN | NaN (1e+300,Infinity) | ((1,2),(3,4),(5,6),(7,8)) | Infinity | Infinity (1e+300,Infinity) | ((7,8),(5,6),(3,4),(1,2)) | Infinity | Infinity (1e+300,Infinity) | ((1,2),(7,8),(5,6),(3,-4)) | Infinity | Infinity - (1e+300,Infinity) | ((0,0)) | Infinity | Infinity - (1e+300,Infinity) | ((0,1),(0,1)) | Infinity | Infinity - (NaN,NaN) | ((2,0),(2,4),(0,0)) | 0 | 0 - (NaN,NaN) | ((3,1),(3,3),(1,0)) | 0 | 0 - (NaN,NaN) | ((1,2),(3,4),(5,6),(7,8)) | 0 | 0 - (NaN,NaN) | ((7,8),(5,6),(3,4),(1,2)) | 0 | 0 - (NaN,NaN) | ((1,2),(7,8),(5,6),(3,-4)) | 0 | 0 - (NaN,NaN) | ((0,0)) | 0 | 0 - (NaN,NaN) | ((0,1),(0,1)) | 0 | 0 + (1e+300,Infinity) | ((0,0)) | NaN | NaN + (1e+300,Infinity) | ((0,1),(0,1)) | NaN | NaN + (NaN,NaN) | ((2,0),(2,4),(0,0)) | NaN | NaN + (NaN,NaN) | ((3,1),(3,3),(1,0)) | NaN | NaN + (NaN,NaN) | ((1,2),(3,4),(5,6),(7,8)) | NaN | NaN + (NaN,NaN) | ((7,8),(5,6),(3,4),(1,2)) | NaN | NaN + (NaN,NaN) | ((1,2),(7,8),(5,6),(3,-4)) | NaN | NaN + (NaN,NaN) | ((0,0)) | NaN | NaN + (NaN,NaN) | ((0,1),(0,1)) | NaN | NaN (10,10) | ((2,0),(2,4),(0,0)) | 10 | 10 (10,10) | ((3,1),(3,3),(1,0)) | 9.89949493661 | 9.89949493661 (10,10) | ((1,2),(3,4),(5,6),(7,8)) | 3.60555127546 | 3.60555127546 @@ -875,9 +875,9 @@ SELECT p.f1, l.s, p.f1 ## l.s FROM POINT_TBL p, LINE_TBL l; (1e+300,Infinity) | {0,-1,5} | (1e+300,5) (1e+300,Infinity) | {1,0,5} | (1e+300,Infinity) | {0,3,0} | (1e+300,0) - (1e+300,Infinity) | {1,-1,0} | (Infinity,NaN) - (1e+300,Infinity) | {-0.4,-1,-6} | (-Infinity,NaN) - (1e+300,Infinity) | {-0.000184615384615,-1,15.3846153846} | (-Infinity,NaN) + (1e+300,Infinity) | {1,-1,0} | + (1e+300,Infinity) | {-0.4,-1,-6} | + (1e+300,Infinity) | {-0.000184615384615,-1,15.3846153846} | (1e+300,Infinity) | {3,NaN,5} | (1e+300,Infinity) | {NaN,NaN,NaN} | (1e+300,Infinity) | {0,-1,3} | (1e+300,3) @@ -961,9 +961,9 @@ SELECT p.f1, l.s, p.f1 ## l.s FROM POINT_TBL p, LSEG_TBL l; (1e+300,Infinity) | [(10,-10),(-3,-4)] | (-3,-4) (1e+300,Infinity) | [(-1000000,200),(300000,-40)] | (300000,-40) (1e+300,Infinity) | [(11,22),(33,44)] | (33,44) - (1e+300,Infinity) | [(-10,2),(-10,3)] | (-10,3) + (1e+300,Infinity) | [(-10,2),(-10,3)] | (1e+300,Infinity) | [(0,-20),(30,-20)] | (30,-20) - (1e+300,Infinity) | [(NaN,1),(NaN,90)] | (NaN,90) + (1e+300,Infinity) | [(NaN,1),(NaN,90)] | (NaN,NaN) | [(1,2),(3,4)] | (NaN,NaN) | [(0,0),(6,6)] | (NaN,NaN) | [(10,-10),(-3,-4)] | @@ -1016,11 +1016,11 @@ SELECT p.f1, b.f1, p.f1 ## b.f1 FROM POINT_TBL p, BOX_TBL b; (1e-300,-1e-300) | (-2,2),(-8,-10) | (-2,-1e-300) (1e-300,-1e-300) | (2.5,3.5),(2.5,2.5) | (2.5,2.5) (1e-300,-1e-300) | (3,3),(3,3) | (3,3) - (1e+300,Infinity) | (2,2),(0,0) | (0,2) - (1e+300,Infinity) | (3,3),(1,1) | (1,3) - (1e+300,Infinity) | (-2,2),(-8,-10) | (-8,2) - (1e+300,Infinity) | (2.5,3.5),(2.5,2.5) | (2.5,3.5) - (1e+300,Infinity) | (3,3),(3,3) | (3,3) + (1e+300,Infinity) | (2,2),(0,0) | + (1e+300,Infinity) | (3,3),(1,1) | + (1e+300,Infinity) | (-2,2),(-8,-10) | + (1e+300,Infinity) | (2.5,3.5),(2.5,2.5) | + (1e+300,Infinity) | (3,3),(3,3) | (NaN,NaN) | (2,2),(0,0) | (NaN,NaN) | (3,3),(1,1) | (NaN,NaN) | (-2,2),(-8,-10) | @@ -1060,12 +1060,7 @@ SELECT p.f1, p1.f1 FROM POINT_TBL p, PATH_TBL p1 WHERE p.f1 <@ p1.f1; ------------------+--------------------------- (0,0) | [(0,0),(3,0),(4,5),(1,6)] (1e-300,-1e-300) | [(0,0),(3,0),(4,5),(1,6)] - (NaN,NaN) | ((1,2),(3,4)) - (NaN,NaN) | ((1,2),(3,4)) - (NaN,NaN) | ((1,2),(3,4)) - (NaN,NaN) | ((10,20)) - (NaN,NaN) | ((11,12),(13,14)) -(7 rows) +(2 rows) -- -- Lines @@ -1153,8 +1148,8 @@ SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2; {0,-1,5} | {1,-1,0} | 0 {0,-1,5} | {-0.4,-1,-6} | 0 {0,-1,5} | {-0.000184615384615,-1,15.3846153846} | 0 - {0,-1,5} | {3,NaN,5} | 0 - {0,-1,5} | {NaN,NaN,NaN} | 0 + {0,-1,5} | {3,NaN,5} | NaN + {0,-1,5} | {NaN,NaN,NaN} | NaN {0,-1,5} | {0,-1,3} | 2 {0,-1,5} | {-1,0,3} | 0 {1,0,5} | {0,-1,5} | 0 @@ -1163,8 +1158,8 @@ SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2; {1,0,5} | {1,-1,0} | 0 {1,0,5} | {-0.4,-1,-6} | 0 {1,0,5} | {-0.000184615384615,-1,15.3846153846} | 0 - {1,0,5} | {3,NaN,5} | 0 - {1,0,5} | {NaN,NaN,NaN} | 0 + {1,0,5} | {3,NaN,5} | NaN + {1,0,5} | {NaN,NaN,NaN} | NaN {1,0,5} | {0,-1,3} | 0 {1,0,5} | {-1,0,3} | 8 {0,3,0} | {0,-1,5} | 5 @@ -1173,8 +1168,8 @@ SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2; {0,3,0} | {1,-1,0} | 0 {0,3,0} | {-0.4,-1,-6} | 0 {0,3,0} | {-0.000184615384615,-1,15.3846153846} | 0 - {0,3,0} | {3,NaN,5} | 0 - {0,3,0} | {NaN,NaN,NaN} | 0 + {0,3,0} | {3,NaN,5} | NaN + {0,3,0} | {NaN,NaN,NaN} | NaN {0,3,0} | {0,-1,3} | 3 {0,3,0} | {-1,0,3} | 0 {1,-1,0} | {0,-1,5} | 0 @@ -1183,8 +1178,8 @@ SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2; {1,-1,0} | {1,-1,0} | 0 {1,-1,0} | {-0.4,-1,-6} | 0 {1,-1,0} | {-0.000184615384615,-1,15.3846153846} | 0 - {1,-1,0} | {3,NaN,5} | 0 - {1,-1,0} | {NaN,NaN,NaN} | 0 + {1,-1,0} | {3,NaN,5} | NaN + {1,-1,0} | {NaN,NaN,NaN} | NaN {1,-1,0} | {0,-1,3} | 0 {1,-1,0} | {-1,0,3} | 0 {-0.4,-1,-6} | {0,-1,5} | 0 @@ -1193,8 +1188,8 @@ SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2; {-0.4,-1,-6} | {1,-1,0} | 0 {-0.4,-1,-6} | {-0.4,-1,-6} | 0 {-0.4,-1,-6} | {-0.000184615384615,-1,15.3846153846} | 0 - {-0.4,-1,-6} | {3,NaN,5} | 0 - {-0.4,-1,-6} | {NaN,NaN,NaN} | 0 + {-0.4,-1,-6} | {3,NaN,5} | NaN + {-0.4,-1,-6} | {NaN,NaN,NaN} | NaN {-0.4,-1,-6} | {0,-1,3} | 0 {-0.4,-1,-6} | {-1,0,3} | 0 {-0.000184615384615,-1,15.3846153846} | {0,-1,5} | 0 @@ -1203,38 +1198,38 @@ SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2; {-0.000184615384615,-1,15.3846153846} | {1,-1,0} | 0 {-0.000184615384615,-1,15.3846153846} | {-0.4,-1,-6} | 0 {-0.000184615384615,-1,15.3846153846} | {-0.000184615384615,-1,15.3846153846} | 0 - {-0.000184615384615,-1,15.3846153846} | {3,NaN,5} | 0 - {-0.000184615384615,-1,15.3846153846} | {NaN,NaN,NaN} | 0 + {-0.000184615384615,-1,15.3846153846} | {3,NaN,5} | NaN + {-0.000184615384615,-1,15.3846153846} | {NaN,NaN,NaN} | NaN {-0.000184615384615,-1,15.3846153846} | {0,-1,3} | 0 {-0.000184615384615,-1,15.3846153846} | {-1,0,3} | 0 - {3,NaN,5} | {0,-1,5} | 0 - {3,NaN,5} | {1,0,5} | 0 - {3,NaN,5} | {0,3,0} | 0 - {3,NaN,5} | {1,-1,0} | 0 - {3,NaN,5} | {-0.4,-1,-6} | 0 - {3,NaN,5} | {-0.000184615384615,-1,15.3846153846} | 0 - {3,NaN,5} | {3,NaN,5} | 0 - {3,NaN,5} | {NaN,NaN,NaN} | 0 - {3,NaN,5} | {0,-1,3} | 0 - {3,NaN,5} | {-1,0,3} | 0 - {NaN,NaN,NaN} | {0,-1,5} | 0 - {NaN,NaN,NaN} | {1,0,5} | 0 - {NaN,NaN,NaN} | {0,3,0} | 0 - {NaN,NaN,NaN} | {1,-1,0} | 0 - {NaN,NaN,NaN} | {-0.4,-1,-6} | 0 - {NaN,NaN,NaN} | {-0.000184615384615,-1,15.3846153846} | 0 - {NaN,NaN,NaN} | {3,NaN,5} | 0 - {NaN,NaN,NaN} | {NaN,NaN,NaN} | 0 - {NaN,NaN,NaN} | {0,-1,3} | 0 - {NaN,NaN,NaN} | {-1,0,3} | 0 + {3,NaN,5} | {0,-1,5} | NaN + {3,NaN,5} | {1,0,5} | NaN + {3,NaN,5} | {0,3,0} | NaN + {3,NaN,5} | {1,-1,0} | NaN + {3,NaN,5} | {-0.4,-1,-6} | NaN + {3,NaN,5} | {-0.000184615384615,-1,15.3846153846} | NaN + {3,NaN,5} | {3,NaN,5} | NaN + {3,NaN,5} | {NaN,NaN,NaN} | NaN + {3,NaN,5} | {0,-1,3} | NaN + {3,NaN,5} | {-1,0,3} | NaN + {NaN,NaN,NaN} | {0,-1,5} | NaN + {NaN,NaN,NaN} | {1,0,5} | NaN + {NaN,NaN,NaN} | {0,3,0} | NaN + {NaN,NaN,NaN} | {1,-1,0} | NaN + {NaN,NaN,NaN} | {-0.4,-1,-6} | NaN + {NaN,NaN,NaN} | {-0.000184615384615,-1,15.3846153846} | NaN + {NaN,NaN,NaN} | {3,NaN,5} | NaN + {NaN,NaN,NaN} | {NaN,NaN,NaN} | NaN + {NaN,NaN,NaN} | {0,-1,3} | NaN + {NaN,NaN,NaN} | {-1,0,3} | NaN {0,-1,3} | {0,-1,5} | 2 {0,-1,3} | {1,0,5} | 0 {0,-1,3} | {0,3,0} | 3 {0,-1,3} | {1,-1,0} | 0 {0,-1,3} | {-0.4,-1,-6} | 0 {0,-1,3} | {-0.000184615384615,-1,15.3846153846} | 0 - {0,-1,3} | {3,NaN,5} | 0 - {0,-1,3} | {NaN,NaN,NaN} | 0 + {0,-1,3} | {3,NaN,5} | NaN + {0,-1,3} | {NaN,NaN,NaN} | NaN {0,-1,3} | {0,-1,3} | 0 {0,-1,3} | {-1,0,3} | 0 {-1,0,3} | {0,-1,5} | 0 @@ -1243,8 +1238,8 @@ SELECT l1.s, l2.s, l1.s <-> l2.s FROM LINE_TBL l1, LINE_TBL l2; {-1,0,3} | {1,-1,0} | 0 {-1,0,3} | {-0.4,-1,-6} | 0 {-1,0,3} | {-0.000184615384615,-1,15.3846153846} | 0 - {-1,0,3} | {3,NaN,5} | 0 - {-1,0,3} | {NaN,NaN,NaN} | 0 + {-1,0,3} | {3,NaN,5} | NaN + {-1,0,3} | {NaN,NaN,NaN} | NaN {-1,0,3} | {0,-1,3} | 0 {-1,0,3} | {-1,0,3} | 0 (100 rows) @@ -1262,31 +1257,23 @@ SELECT l1.s, l2.s FROM LINE_TBL l1, LINE_TBL l2 WHERE l1.s ?# l2.s; {0,-1,5} | {1,-1,0} {0,-1,5} | {-0.4,-1,-6} {0,-1,5} | {-0.000184615384615,-1,15.3846153846} - {0,-1,5} | {3,NaN,5} - {0,-1,5} | {NaN,NaN,NaN} {0,-1,5} | {-1,0,3} {1,0,5} | {0,-1,5} {1,0,5} | {0,3,0} {1,0,5} | {1,-1,0} {1,0,5} | {-0.4,-1,-6} {1,0,5} | {-0.000184615384615,-1,15.3846153846} - {1,0,5} | {3,NaN,5} - {1,0,5} | {NaN,NaN,NaN} {1,0,5} | {0,-1,3} {0,3,0} | {1,0,5} {0,3,0} | {1,-1,0} {0,3,0} | {-0.4,-1,-6} {0,3,0} | {-0.000184615384615,-1,15.3846153846} - {0,3,0} | {3,NaN,5} - {0,3,0} | {NaN,NaN,NaN} {0,3,0} | {-1,0,3} {1,-1,0} | {0,-1,5} {1,-1,0} | {1,0,5} {1,-1,0} | {0,3,0} {1,-1,0} | {-0.4,-1,-6} {1,-1,0} | {-0.000184615384615,-1,15.3846153846} - {1,-1,0} | {3,NaN,5} - {1,-1,0} | {NaN,NaN,NaN} {1,-1,0} | {0,-1,3} {1,-1,0} | {-1,0,3} {-0.4,-1,-6} | {0,-1,5} @@ -1294,8 +1281,6 @@ SELECT l1.s, l2.s FROM LINE_TBL l1, LINE_TBL l2 WHERE l1.s ?# l2.s; {-0.4,-1,-6} | {0,3,0} {-0.4,-1,-6} | {1,-1,0} {-0.4,-1,-6} | {-0.000184615384615,-1,15.3846153846} - {-0.4,-1,-6} | {3,NaN,5} - {-0.4,-1,-6} | {NaN,NaN,NaN} {-0.4,-1,-6} | {0,-1,3} {-0.4,-1,-6} | {-1,0,3} {-0.000184615384615,-1,15.3846153846} | {0,-1,5} @@ -1303,46 +1288,20 @@ SELECT l1.s, l2.s FROM LINE_TBL l1, LINE_TBL l2 WHERE l1.s ?# l2.s; {-0.000184615384615,-1,15.3846153846} | {0,3,0} {-0.000184615384615,-1,15.3846153846} | {1,-1,0} {-0.000184615384615,-1,15.3846153846} | {-0.4,-1,-6} - {-0.000184615384615,-1,15.3846153846} | {3,NaN,5} - {-0.000184615384615,-1,15.3846153846} | {NaN,NaN,NaN} {-0.000184615384615,-1,15.3846153846} | {0,-1,3} {-0.000184615384615,-1,15.3846153846} | {-1,0,3} - {3,NaN,5} | {0,-1,5} - {3,NaN,5} | {1,0,5} - {3,NaN,5} | {0,3,0} - {3,NaN,5} | {1,-1,0} - {3,NaN,5} | {-0.4,-1,-6} - {3,NaN,5} | {-0.000184615384615,-1,15.3846153846} - {3,NaN,5} | {3,NaN,5} - {3,NaN,5} | {NaN,NaN,NaN} - {3,NaN,5} | {0,-1,3} - {3,NaN,5} | {-1,0,3} - {NaN,NaN,NaN} | {0,-1,5} - {NaN,NaN,NaN} | {1,0,5} - {NaN,NaN,NaN} | {0,3,0} - {NaN,NaN,NaN} | {1,-1,0} - {NaN,NaN,NaN} | {-0.4,-1,-6} - {NaN,NaN,NaN} | {-0.000184615384615,-1,15.3846153846} - {NaN,NaN,NaN} | {3,NaN,5} - {NaN,NaN,NaN} | {NaN,NaN,NaN} - {NaN,NaN,NaN} | {0,-1,3} - {NaN,NaN,NaN} | {-1,0,3} {0,-1,3} | {1,0,5} {0,-1,3} | {1,-1,0} {0,-1,3} | {-0.4,-1,-6} {0,-1,3} | {-0.000184615384615,-1,15.3846153846} - {0,-1,3} | {3,NaN,5} - {0,-1,3} | {NaN,NaN,NaN} {0,-1,3} | {-1,0,3} {-1,0,3} | {0,-1,5} {-1,0,3} | {0,3,0} {-1,0,3} | {1,-1,0} {-1,0,3} | {-0.4,-1,-6} {-1,0,3} | {-0.000184615384615,-1,15.3846153846} - {-1,0,3} | {3,NaN,5} - {-1,0,3} | {NaN,NaN,NaN} {-1,0,3} | {0,-1,3} -(84 rows) +(48 rows) -- Intersect with box SELECT l.s, b.f1 FROM LINE_TBL l, BOX_TBL b WHERE l.s ?# b.f1; @@ -3467,13 +3426,13 @@ SELECT '' AS twentyfour, p.f1, poly.f1, poly.f1 @> p.f1 AS contains | (1e+300,Infinity) | ((1,2),(7,8),(5,6),(3,-4)) | f | (1e+300,Infinity) | ((0,0)) | f | (1e+300,Infinity) | ((0,1),(0,1)) | f - | (NaN,NaN) | ((2,0),(2,4),(0,0)) | t - | (NaN,NaN) | ((3,1),(3,3),(1,0)) | t - | (NaN,NaN) | ((1,2),(3,4),(5,6),(7,8)) | t - | (NaN,NaN) | ((7,8),(5,6),(3,4),(1,2)) | t - | (NaN,NaN) | ((1,2),(7,8),(5,6),(3,-4)) | t - | (NaN,NaN) | ((0,0)) | t - | (NaN,NaN) | ((0,1),(0,1)) | t + | (NaN,NaN) | ((2,0),(2,4),(0,0)) | f + | (NaN,NaN) | ((3,1),(3,3),(1,0)) | f + | (NaN,NaN) | ((1,2),(3,4),(5,6),(7,8)) | f + | (NaN,NaN) | ((7,8),(5,6),(3,4),(1,2)) | f + | (NaN,NaN) | ((1,2),(7,8),(5,6),(3,-4)) | f + | (NaN,NaN) | ((0,0)) | f + | (NaN,NaN) | ((0,1),(0,1)) | f | (10,10) | ((2,0),(2,4),(0,0)) | f | (10,10) | ((3,1),(3,3),(1,0)) | f | (10,10) | ((1,2),(3,4),(5,6),(7,8)) | f @@ -3536,13 +3495,13 @@ SELECT '' AS twentyfour, p.f1, poly.f1, p.f1 <@ poly.f1 AS contained | (1e+300,Infinity) | ((1,2),(7,8),(5,6),(3,-4)) | f | (1e+300,Infinity) | ((0,0)) | f | (1e+300,Infinity) | ((0,1),(0,1)) | f - | (NaN,NaN) | ((2,0),(2,4),(0,0)) | t - | (NaN,NaN) | ((3,1),(3,3),(1,0)) | t - | (NaN,NaN) | ((1,2),(3,4),(5,6),(7,8)) | t - | (NaN,NaN) | ((7,8),(5,6),(3,4),(1,2)) | t - | (NaN,NaN) | ((1,2),(7,8),(5,6),(3,-4)) | t - | (NaN,NaN) | ((0,0)) | t - | (NaN,NaN) | ((0,1),(0,1)) | t + | (NaN,NaN) | ((2,0),(2,4),(0,0)) | f + | (NaN,NaN) | ((3,1),(3,3),(1,0)) | f + | (NaN,NaN) | ((1,2),(3,4),(5,6),(7,8)) | f + | (NaN,NaN) | ((7,8),(5,6),(3,4),(1,2)) | f + | (NaN,NaN) | ((1,2),(7,8),(5,6),(3,-4)) | f + | (NaN,NaN) | ((0,0)) | f + | (NaN,NaN) | ((0,1),(0,1)) | f | (10,10) | ((2,0),(2,4),(0,0)) | f | (10,10) | ((3,1),(3,3),(1,0)) | f | (10,10) | ((1,2),(3,4),(5,6),(7,8)) | f -- 2.18.4
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