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ST_ANGLE

ST_Angle​

Syntax​

DOUBLE ST_Angle(GEOPOINT point1, GEOPOINT point2, GEOPOINT point3)

description​

Enter three point, which represent two intersecting lines. Returns the angle between these lines. Point 2 and point 1 represent the first line and point 2 and point 3 represent the second line. The angle between these lines is in radians, in the range [0, 2pi). The angle is measured clockwise from the first line to the second line.

ST_ANGLE has the following edge cases:

  • If points 2 and 3 are the same, returns NULL.
  • If points 2 and 1 are the same, returns NULL.
  • If points 2 and 3 are exactly antipodal, returns NULL.
  • If points 2 and 1 are exactly antipodal, returns NULL.
  • If any of the input geographies are not single points or are the empty geography, then throws an error.

example​

mysql> SELECT ST_Angle(ST_Point(1, 0),ST_Point(0, 0),ST_Point(0, 1));
+----------------------------------------------------------------------+
| st_angle(st_point(1.0, 0.0), st_point(0.0, 0.0), st_point(0.0, 1.0)) |
+----------------------------------------------------------------------+
| 4.71238898038469 |
+----------------------------------------------------------------------+
1 row in set (0.04 sec)

mysql> SELECT ST_Angle(ST_Point(0, 0),ST_Point(1, 0),ST_Point(0, 1));
+----------------------------------------------------------------------+
| st_angle(st_point(0.0, 0.0), st_point(1.0, 0.0), st_point(0.0, 1.0)) |
+----------------------------------------------------------------------+
| 0.78547432161873854 |
+----------------------------------------------------------------------+
1 row in set (0.02 sec)

mysql> SELECT ST_Angle(ST_Point(1, 0),ST_Point(0, 0),ST_Point(1, 0));
+----------------------------------------------------------------------+
| st_angle(st_point(1.0, 0.0), st_point(0.0, 0.0), st_point(1.0, 0.0)) |
+----------------------------------------------------------------------+
| 0 |
+----------------------------------------------------------------------+
1 row in set (0.02 sec)

mysql> SELECT ST_Angle(ST_Point(1, 0),ST_Point(0, 0),ST_Point(0, 0));
+----------------------------------------------------------------------+
| st_angle(st_point(1.0, 0.0), st_point(0.0, 0.0), st_point(0.0, 0.0)) |
+----------------------------------------------------------------------+
| NULL |
+----------------------------------------------------------------------+
1 row in set (0.03 sec)

mysql> SELECT ST_Angle(ST_Point(0, 0),ST_Point(-30, 0),ST_Point(150, 0));
+--------------------------------------------------------------------------+
| st_angle(st_point(0.0, 0.0), st_point(-30.0, 0.0), st_point(150.0, 0.0)) |
+--------------------------------------------------------------------------+
| NULL |
+--------------------------------------------------------------------------+
1 row in set (0.02 sec)

keywords​

ST_ANGLE,ST,ANGLE