Commit 9fe649ea authored by Tom Lane's avatar Tom Lane

In geo_ops.c, represent infinite slope as Infinity, not DBL_MAX.

Since we're assuming IEEE floats these days, there seems little
reason not to do this.  It has the advantage that when the slope is
computed as infinite due to the presence of Inf coordinates, we get
saner behavior than before from line_construct(), and thence also
in some dependent operations such as finding the closest point.

Also fix line_construct() to special-case slope zero.  The previous
coding got the right answer in most cases, but it could compute
C as NaN when the point has Inf coordinates.

Discussion: https://postgr.es/m/CAGf+fX70rWFOk5cd00uMfa__0yP+vtQg5ck7c2Onb-Yczp0URA@mail.gmail.com
parent 8597a48d
......@@ -1055,13 +1055,20 @@ line_send(PG_FUNCTION_ARGS)
static inline void
line_construct(LINE *result, Point *pt, float8 m)
{
if (m == DBL_MAX)
if (isinf(m))
{
/* vertical - use "x = C" */
result->A = -1.0;
result->B = 0.0;
result->C = pt->x;
}
else if (m == 0)
{
/* horizontal - use "y = C" */
result->A = 0.0;
result->B = -1.0;
result->C = pt->y;
}
else
{
/* use "mx - y + yinter = 0" */
......@@ -1201,7 +1208,7 @@ line_sl(LINE *line)
if (FPzero(line->A))
return 0.0;
if (FPzero(line->B))
return DBL_MAX;
return get_float8_infinity();
return float8_div(line->A, -line->B);
}
......@@ -1213,7 +1220,7 @@ static inline float8
line_invsl(LINE *line)
{
if (FPzero(line->A))
return DBL_MAX;
return get_float8_infinity();
if (FPzero(line->B))
return 0.0;
return float8_div(line->B, line->A);
......@@ -1979,13 +1986,13 @@ point_slope(PG_FUNCTION_ARGS)
/*
* Return slope of two points
*
* Note that this function returns DBL_MAX when the points are the same.
* Note that this function returns Inf when the points are the same.
*/
static inline float8
point_sl(Point *pt1, Point *pt2)
{
if (FPeq(pt1->x, pt2->x))
return DBL_MAX;
return get_float8_infinity();
if (FPeq(pt1->y, pt2->y))
return 0.0;
return float8_div(float8_mi(pt1->y, pt2->y), float8_mi(pt1->x, pt2->x));
......@@ -2003,7 +2010,7 @@ point_invsl(Point *pt1, Point *pt2)
if (FPeq(pt1->x, pt2->x))
return 0.0;
if (FPeq(pt1->y, pt2->y))
return DBL_MAX;
return get_float8_infinity();
return float8_div(float8_mi(pt1->x, pt2->x), float8_mi(pt2->y, pt1->y));
}
......
......@@ -111,108 +111,108 @@ SELECT '' AS one, p1.f1
-- Slope
SELECT p1.f1, p2.f1, slope(p1.f1, p2.f1) FROM POINT_TBL p1, POINT_TBL p2;
f1 | f1 | slope
-------------------+-------------------+--------------------
(0,0) | (0,0) | 1.79769313486e+308
(0,0) | (-10,0) | 0
(0,0) | (-3,4) | -1.33333333333
(0,0) | (5.1,34.5) | 6.76470588235
(0,0) | (-5,-12) | 2.4
(0,0) | (1e-300,-1e-300) | 1.79769313486e+308
(0,0) | (1e+300,Infinity) | Infinity
(0,0) | (Infinity,1e+300) | 0
(0,0) | (NaN,NaN) | NaN
(0,0) | (10,10) | 1
(-10,0) | (0,0) | 0
(-10,0) | (-10,0) | 1.79769313486e+308
(-10,0) | (-3,4) | 0.571428571429
(-10,0) | (5.1,34.5) | 2.28476821192
(-10,0) | (-5,-12) | -2.4
(-10,0) | (1e-300,-1e-300) | 0
(-10,0) | (1e+300,Infinity) | Infinity
(-10,0) | (Infinity,1e+300) | 0
(-10,0) | (NaN,NaN) | NaN
(-10,0) | (10,10) | 0.5
(-3,4) | (0,0) | -1.33333333333
(-3,4) | (-10,0) | 0.571428571429
(-3,4) | (-3,4) | 1.79769313486e+308
(-3,4) | (5.1,34.5) | 3.76543209877
(-3,4) | (-5,-12) | 8
(-3,4) | (1e-300,-1e-300) | -1.33333333333
(-3,4) | (1e+300,Infinity) | Infinity
(-3,4) | (Infinity,1e+300) | 0
(-3,4) | (NaN,NaN) | NaN
(-3,4) | (10,10) | 0.461538461538
(5.1,34.5) | (0,0) | 6.76470588235
(5.1,34.5) | (-10,0) | 2.28476821192
(5.1,34.5) | (-3,4) | 3.76543209877
(5.1,34.5) | (5.1,34.5) | 1.79769313486e+308
(5.1,34.5) | (-5,-12) | 4.60396039604
(5.1,34.5) | (1e-300,-1e-300) | 6.76470588235
(5.1,34.5) | (1e+300,Infinity) | Infinity
(5.1,34.5) | (Infinity,1e+300) | 0
(5.1,34.5) | (NaN,NaN) | NaN
(5.1,34.5) | (10,10) | -5
(-5,-12) | (0,0) | 2.4
(-5,-12) | (-10,0) | -2.4
(-5,-12) | (-3,4) | 8
(-5,-12) | (5.1,34.5) | 4.60396039604
(-5,-12) | (-5,-12) | 1.79769313486e+308
(-5,-12) | (1e-300,-1e-300) | 2.4
(-5,-12) | (1e+300,Infinity) | Infinity
(-5,-12) | (Infinity,1e+300) | 0
(-5,-12) | (NaN,NaN) | NaN
(-5,-12) | (10,10) | 1.46666666667
(1e-300,-1e-300) | (0,0) | 1.79769313486e+308
(1e-300,-1e-300) | (-10,0) | 0
(1e-300,-1e-300) | (-3,4) | -1.33333333333
(1e-300,-1e-300) | (5.1,34.5) | 6.76470588235
(1e-300,-1e-300) | (-5,-12) | 2.4
(1e-300,-1e-300) | (1e-300,-1e-300) | 1.79769313486e+308
(1e-300,-1e-300) | (1e+300,Infinity) | Infinity
(1e-300,-1e-300) | (Infinity,1e+300) | 0
(1e-300,-1e-300) | (NaN,NaN) | NaN
(1e-300,-1e-300) | (10,10) | 1
(1e+300,Infinity) | (0,0) | Infinity
(1e+300,Infinity) | (-10,0) | Infinity
(1e+300,Infinity) | (-3,4) | Infinity
(1e+300,Infinity) | (5.1,34.5) | Infinity
(1e+300,Infinity) | (-5,-12) | Infinity
(1e+300,Infinity) | (1e-300,-1e-300) | Infinity
(1e+300,Infinity) | (1e+300,Infinity) | 1.79769313486e+308
(1e+300,Infinity) | (Infinity,1e+300) | NaN
(1e+300,Infinity) | (NaN,NaN) | NaN
(1e+300,Infinity) | (10,10) | Infinity
(Infinity,1e+300) | (0,0) | 0
(Infinity,1e+300) | (-10,0) | 0
(Infinity,1e+300) | (-3,4) | 0
(Infinity,1e+300) | (5.1,34.5) | 0
(Infinity,1e+300) | (-5,-12) | 0
(Infinity,1e+300) | (1e-300,-1e-300) | 0
(Infinity,1e+300) | (1e+300,Infinity) | NaN
(Infinity,1e+300) | (Infinity,1e+300) | 1.79769313486e+308
(Infinity,1e+300) | (NaN,NaN) | NaN
(Infinity,1e+300) | (10,10) | 0
(NaN,NaN) | (0,0) | NaN
(NaN,NaN) | (-10,0) | NaN
(NaN,NaN) | (-3,4) | NaN
(NaN,NaN) | (5.1,34.5) | NaN
(NaN,NaN) | (-5,-12) | NaN
(NaN,NaN) | (1e-300,-1e-300) | NaN
(NaN,NaN) | (1e+300,Infinity) | NaN
(NaN,NaN) | (Infinity,1e+300) | NaN
(NaN,NaN) | (NaN,NaN) | NaN
(NaN,NaN) | (10,10) | NaN
(10,10) | (0,0) | 1
(10,10) | (-10,0) | 0.5
(10,10) | (-3,4) | 0.461538461538
(10,10) | (5.1,34.5) | -5
(10,10) | (-5,-12) | 1.46666666667
(10,10) | (1e-300,-1e-300) | 1
(10,10) | (1e+300,Infinity) | Infinity
(10,10) | (Infinity,1e+300) | 0
(10,10) | (NaN,NaN) | NaN
(10,10) | (10,10) | 1.79769313486e+308
f1 | f1 | slope
-------------------+-------------------+----------------
(0,0) | (0,0) | Infinity
(0,0) | (-10,0) | 0
(0,0) | (-3,4) | -1.33333333333
(0,0) | (5.1,34.5) | 6.76470588235
(0,0) | (-5,-12) | 2.4
(0,0) | (1e-300,-1e-300) | Infinity
(0,0) | (1e+300,Infinity) | Infinity
(0,0) | (Infinity,1e+300) | 0
(0,0) | (NaN,NaN) | NaN
(0,0) | (10,10) | 1
(-10,0) | (0,0) | 0
(-10,0) | (-10,0) | Infinity
(-10,0) | (-3,4) | 0.571428571429
(-10,0) | (5.1,34.5) | 2.28476821192
(-10,0) | (-5,-12) | -2.4
(-10,0) | (1e-300,-1e-300) | 0
(-10,0) | (1e+300,Infinity) | Infinity
(-10,0) | (Infinity,1e+300) | 0
(-10,0) | (NaN,NaN) | NaN
(-10,0) | (10,10) | 0.5
(-3,4) | (0,0) | -1.33333333333
(-3,4) | (-10,0) | 0.571428571429
(-3,4) | (-3,4) | Infinity
(-3,4) | (5.1,34.5) | 3.76543209877
(-3,4) | (-5,-12) | 8
(-3,4) | (1e-300,-1e-300) | -1.33333333333
(-3,4) | (1e+300,Infinity) | Infinity
(-3,4) | (Infinity,1e+300) | 0
(-3,4) | (NaN,NaN) | NaN
(-3,4) | (10,10) | 0.461538461538
(5.1,34.5) | (0,0) | 6.76470588235
(5.1,34.5) | (-10,0) | 2.28476821192
(5.1,34.5) | (-3,4) | 3.76543209877
(5.1,34.5) | (5.1,34.5) | Infinity
(5.1,34.5) | (-5,-12) | 4.60396039604
(5.1,34.5) | (1e-300,-1e-300) | 6.76470588235
(5.1,34.5) | (1e+300,Infinity) | Infinity
(5.1,34.5) | (Infinity,1e+300) | 0
(5.1,34.5) | (NaN,NaN) | NaN
(5.1,34.5) | (10,10) | -5
(-5,-12) | (0,0) | 2.4
(-5,-12) | (-10,0) | -2.4
(-5,-12) | (-3,4) | 8
(-5,-12) | (5.1,34.5) | 4.60396039604
(-5,-12) | (-5,-12) | Infinity
(-5,-12) | (1e-300,-1e-300) | 2.4
(-5,-12) | (1e+300,Infinity) | Infinity
(-5,-12) | (Infinity,1e+300) | 0
(-5,-12) | (NaN,NaN) | NaN
(-5,-12) | (10,10) | 1.46666666667
(1e-300,-1e-300) | (0,0) | Infinity
(1e-300,-1e-300) | (-10,0) | 0
(1e-300,-1e-300) | (-3,4) | -1.33333333333
(1e-300,-1e-300) | (5.1,34.5) | 6.76470588235
(1e-300,-1e-300) | (-5,-12) | 2.4
(1e-300,-1e-300) | (1e-300,-1e-300) | Infinity
(1e-300,-1e-300) | (1e+300,Infinity) | Infinity
(1e-300,-1e-300) | (Infinity,1e+300) | 0
(1e-300,-1e-300) | (NaN,NaN) | NaN
(1e-300,-1e-300) | (10,10) | 1
(1e+300,Infinity) | (0,0) | Infinity
(1e+300,Infinity) | (-10,0) | Infinity
(1e+300,Infinity) | (-3,4) | Infinity
(1e+300,Infinity) | (5.1,34.5) | Infinity
(1e+300,Infinity) | (-5,-12) | Infinity
(1e+300,Infinity) | (1e-300,-1e-300) | Infinity
(1e+300,Infinity) | (1e+300,Infinity) | Infinity
(1e+300,Infinity) | (Infinity,1e+300) | NaN
(1e+300,Infinity) | (NaN,NaN) | NaN
(1e+300,Infinity) | (10,10) | Infinity
(Infinity,1e+300) | (0,0) | 0
(Infinity,1e+300) | (-10,0) | 0
(Infinity,1e+300) | (-3,4) | 0
(Infinity,1e+300) | (5.1,34.5) | 0
(Infinity,1e+300) | (-5,-12) | 0
(Infinity,1e+300) | (1e-300,-1e-300) | 0
(Infinity,1e+300) | (1e+300,Infinity) | NaN
(Infinity,1e+300) | (Infinity,1e+300) | Infinity
(Infinity,1e+300) | (NaN,NaN) | NaN
(Infinity,1e+300) | (10,10) | 0
(NaN,NaN) | (0,0) | NaN
(NaN,NaN) | (-10,0) | NaN
(NaN,NaN) | (-3,4) | NaN
(NaN,NaN) | (5.1,34.5) | NaN
(NaN,NaN) | (-5,-12) | NaN
(NaN,NaN) | (1e-300,-1e-300) | NaN
(NaN,NaN) | (1e+300,Infinity) | NaN
(NaN,NaN) | (Infinity,1e+300) | NaN
(NaN,NaN) | (NaN,NaN) | NaN
(NaN,NaN) | (10,10) | NaN
(10,10) | (0,0) | 1
(10,10) | (-10,0) | 0.5
(10,10) | (-3,4) | 0.461538461538
(10,10) | (5.1,34.5) | -5
(10,10) | (-5,-12) | 1.46666666667
(10,10) | (1e-300,-1e-300) | 1
(10,10) | (1e+300,Infinity) | Infinity
(10,10) | (Infinity,1e+300) | 0
(10,10) | (NaN,NaN) | NaN
(10,10) | (10,10) | Infinity
(100 rows)
-- Add point
......@@ -563,7 +563,7 @@ 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,-1,3} | Infinity | Infinity
(1e+300,Infinity) | {-1,0,3} | NaN | NaN
(Infinity,1e+300) | {0,-1,5} | NaN | NaN
(Infinity,1e+300) | {1,0,5} | NaN | NaN
(Infinity,1e+300) | {1,0,5} | Infinity | Infinity
(Infinity,1e+300) | {0,3,0} | NaN | NaN
(Infinity,1e+300) | {1,-1,0} | NaN | NaN
(Infinity,1e+300) | {-0.4,-1,-6} | NaN | NaN
......@@ -571,7 +571,7 @@ SELECT p.f1, l.s, p.f1 <-> l.s AS dist_pl, l.s <-> p.f1 AS dist_lp FROM POINT_TB
(Infinity,1e+300) | {3,NaN,5} | NaN | NaN
(Infinity,1e+300) | {NaN,NaN,NaN} | NaN | NaN
(Infinity,1e+300) | {0,-1,3} | NaN | NaN
(Infinity,1e+300) | {-1,0,3} | NaN | NaN
(Infinity,1e+300) | {-1,0,3} | Infinity | Infinity
(NaN,NaN) | {0,-1,5} | NaN | NaN
(NaN,NaN) | {1,0,5} | NaN | NaN
(NaN,NaN) | {0,3,0} | NaN | NaN
......@@ -917,7 +917,7 @@ SELECT p1.f1, p2.f1, line(p1.f1, p2.f1)
(0,0) | (-3,4) | {-1.33333333333,-1,0}
(0,0) | (5.1,34.5) | {6.76470588235,-1,0}
(0,0) | (-5,-12) | {2.4,-1,0}
(0,0) | (1e+300,Infinity) | {Infinity,-1,NaN}
(0,0) | (1e+300,Infinity) | {-1,0,0}
(0,0) | (Infinity,1e+300) | {0,-1,0}
(0,0) | (NaN,NaN) | {NaN,-1,NaN}
(0,0) | (10,10) | {1,-1,0}
......@@ -926,7 +926,7 @@ SELECT p1.f1, p2.f1, line(p1.f1, p2.f1)
(-10,0) | (5.1,34.5) | {2.28476821192,-1,22.8476821192}
(-10,0) | (-5,-12) | {-2.4,-1,-24}
(-10,0) | (1e-300,-1e-300) | {0,-1,0}
(-10,0) | (1e+300,Infinity) | {Infinity,-1,Infinity}
(-10,0) | (1e+300,Infinity) | {-1,0,-10}
(-10,0) | (Infinity,1e+300) | {0,-1,0}
(-10,0) | (NaN,NaN) | {NaN,-1,NaN}
(-10,0) | (10,10) | {0.5,-1,5}
......@@ -935,7 +935,7 @@ SELECT p1.f1, p2.f1, line(p1.f1, p2.f1)
(-3,4) | (5.1,34.5) | {3.76543209877,-1,15.2962962963}
(-3,4) | (-5,-12) | {8,-1,28}
(-3,4) | (1e-300,-1e-300) | {-1.33333333333,-1,0}
(-3,4) | (1e+300,Infinity) | {Infinity,-1,Infinity}
(-3,4) | (1e+300,Infinity) | {-1,0,-3}
(-3,4) | (Infinity,1e+300) | {0,-1,4}
(-3,4) | (NaN,NaN) | {NaN,-1,NaN}
(-3,4) | (10,10) | {0.461538461538,-1,5.38461538462}
......@@ -944,7 +944,7 @@ SELECT p1.f1, p2.f1, line(p1.f1, p2.f1)
(5.1,34.5) | (-3,4) | {3.76543209877,-1,15.2962962963}
(5.1,34.5) | (-5,-12) | {4.60396039604,-1,11.0198019802}
(5.1,34.5) | (1e-300,-1e-300) | {6.76470588235,-1,0}
(5.1,34.5) | (1e+300,Infinity) | {Infinity,-1,-Infinity}
(5.1,34.5) | (1e+300,Infinity) | {-1,0,5.1}
(5.1,34.5) | (Infinity,1e+300) | {0,-1,34.5}
(5.1,34.5) | (NaN,NaN) | {NaN,-1,NaN}
(5.1,34.5) | (10,10) | {-5,-1,60}
......@@ -953,7 +953,7 @@ SELECT p1.f1, p2.f1, line(p1.f1, p2.f1)
(-5,-12) | (-3,4) | {8,-1,28}
(-5,-12) | (5.1,34.5) | {4.60396039604,-1,11.0198019802}
(-5,-12) | (1e-300,-1e-300) | {2.4,-1,0}
(-5,-12) | (1e+300,Infinity) | {Infinity,-1,Infinity}
(-5,-12) | (1e+300,Infinity) | {-1,0,-5}
(-5,-12) | (Infinity,1e+300) | {0,-1,-12}
(-5,-12) | (NaN,NaN) | {NaN,-1,NaN}
(-5,-12) | (10,10) | {1.46666666667,-1,-4.66666666667}
......@@ -961,28 +961,28 @@ SELECT p1.f1, p2.f1, line(p1.f1, p2.f1)
(1e-300,-1e-300) | (-3,4) | {-1.33333333333,-1,3.33333333333e-301}
(1e-300,-1e-300) | (5.1,34.5) | {6.76470588235,-1,-7.76470588235e-300}
(1e-300,-1e-300) | (-5,-12) | {2.4,-1,-3.4e-300}
(1e-300,-1e-300) | (1e+300,Infinity) | {Infinity,-1,-Infinity}
(1e-300,-1e-300) | (1e+300,Infinity) | {-1,0,1e-300}
(1e-300,-1e-300) | (Infinity,1e+300) | {0,-1,-1e-300}
(1e-300,-1e-300) | (NaN,NaN) | {NaN,-1,NaN}
(1e-300,-1e-300) | (10,10) | {1,-1,-2e-300}
(1e+300,Infinity) | (0,0) | {Infinity,-1,NaN}
(1e+300,Infinity) | (-10,0) | {Infinity,-1,NaN}
(1e+300,Infinity) | (-3,4) | {Infinity,-1,NaN}
(1e+300,Infinity) | (5.1,34.5) | {Infinity,-1,NaN}
(1e+300,Infinity) | (-5,-12) | {Infinity,-1,NaN}
(1e+300,Infinity) | (1e-300,-1e-300) | {Infinity,-1,NaN}
(1e+300,Infinity) | (0,0) | {-1,0,1e+300}
(1e+300,Infinity) | (-10,0) | {-1,0,1e+300}
(1e+300,Infinity) | (-3,4) | {-1,0,1e+300}
(1e+300,Infinity) | (5.1,34.5) | {-1,0,1e+300}
(1e+300,Infinity) | (-5,-12) | {-1,0,1e+300}
(1e+300,Infinity) | (1e-300,-1e-300) | {-1,0,1e+300}
(1e+300,Infinity) | (Infinity,1e+300) | {NaN,-1,NaN}
(1e+300,Infinity) | (NaN,NaN) | {NaN,-1,NaN}
(1e+300,Infinity) | (10,10) | {Infinity,-1,NaN}
(Infinity,1e+300) | (0,0) | {0,-1,NaN}
(Infinity,1e+300) | (-10,0) | {0,-1,NaN}
(Infinity,1e+300) | (-3,4) | {0,-1,NaN}
(Infinity,1e+300) | (5.1,34.5) | {0,-1,NaN}
(Infinity,1e+300) | (-5,-12) | {0,-1,NaN}
(Infinity,1e+300) | (1e-300,-1e-300) | {0,-1,NaN}
(1e+300,Infinity) | (10,10) | {-1,0,1e+300}
(Infinity,1e+300) | (0,0) | {0,-1,1e+300}
(Infinity,1e+300) | (-10,0) | {0,-1,1e+300}
(Infinity,1e+300) | (-3,4) | {0,-1,1e+300}
(Infinity,1e+300) | (5.1,34.5) | {0,-1,1e+300}
(Infinity,1e+300) | (-5,-12) | {0,-1,1e+300}
(Infinity,1e+300) | (1e-300,-1e-300) | {0,-1,1e+300}
(Infinity,1e+300) | (1e+300,Infinity) | {NaN,-1,NaN}
(Infinity,1e+300) | (NaN,NaN) | {NaN,-1,NaN}
(Infinity,1e+300) | (10,10) | {0,-1,NaN}
(Infinity,1e+300) | (10,10) | {0,-1,1e+300}
(NaN,NaN) | (0,0) | {NaN,-1,NaN}
(NaN,NaN) | (-10,0) | {NaN,-1,NaN}
(NaN,NaN) | (-3,4) | {NaN,-1,NaN}
......@@ -998,7 +998,7 @@ SELECT p1.f1, p2.f1, line(p1.f1, p2.f1)
(10,10) | (5.1,34.5) | {-5,-1,60}
(10,10) | (-5,-12) | {1.46666666667,-1,-4.66666666667}
(10,10) | (1e-300,-1e-300) | {1,-1,0}
(10,10) | (1e+300,Infinity) | {Infinity,-1,-Infinity}
(10,10) | (1e+300,Infinity) | {-1,0,10}
(10,10) | (Infinity,1e+300) | {0,-1,10}
(10,10) | (NaN,NaN) | {NaN,-1,NaN}
(88 rows)
......@@ -1078,7 +1078,7 @@ SELECT p.f1, l.s, p.f1 ## l.s FROM POINT_TBL p, LINE_TBL l;
(1e+300,Infinity) | {0,-1,3} | (1e+300,3)
(1e+300,Infinity) | {-1,0,3} |
(Infinity,1e+300) | {0,-1,5} |
(Infinity,1e+300) | {1,0,5} |
(Infinity,1e+300) | {1,0,5} | (-5,1e+300)
(Infinity,1e+300) | {0,3,0} |
(Infinity,1e+300) | {1,-1,0} |
(Infinity,1e+300) | {-0.4,-1,-6} |
......@@ -1086,7 +1086,7 @@ SELECT p.f1, l.s, p.f1 ## l.s FROM POINT_TBL p, LINE_TBL l;
(Infinity,1e+300) | {3,NaN,5} |
(Infinity,1e+300) | {NaN,NaN,NaN} |
(Infinity,1e+300) | {0,-1,3} |
(Infinity,1e+300) | {-1,0,3} |
(Infinity,1e+300) | {-1,0,3} | (3,1e+300)
(NaN,NaN) | {0,-1,5} |
(NaN,NaN) | {1,0,5} |
(NaN,NaN) | {0,3,0} |
......
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