MySQL 8.0 Reference Manual Including MySQL NDB Cluster 8.0
OpenGIS proposes a number of functions that can produce geometries. They are designed to implement spatial operators. These functions support all argument type combinations except those that are inapplicable according to the Open Geospatial Consortium specification.
MySQL also implements certain functions that are extensions to OpenGIS, as noted in the function descriptions. In addition, Section 14.16.7, “Geometry Property Functions”, discusses several functions that construct new geometries from existing ones. See that section for descriptions of these functions:
Unless otherwise specified, functions in this section handle their geometry arguments as follows:
If any argument is NULL, the return value
is NULL.
If any geometry argument is not a syntactically well-formed
geometry, an
ER_GIS_INVALID_DATA error
occurs.
If any geometry argument is a syntactically well-formed
geometry in an undefined spatial reference system (SRS), an
ER_SRS_NOT_FOUND error occurs.
For functions that take multiple geometry arguments, if those
arguments are not in the same SRS, an
ER_GIS_DIFFERENT_SRIDS error
occurs.
If any geometry argument has an SRID value for a geographic
SRS and the function does not handle geographic geometries, an
ER_NOT_IMPLEMENTED_FOR_GEOGRAPHIC_SRS
error occurs.
For geographic SRS geometry arguments, if any argument has a longitude or latitude that is out of range, an error occurs:
If a longitude value is not in the range (−180,
180], an
ER_GEOMETRY_PARAM_LONGITUDE_OUT_OF_RANGE
error occurs
(ER_LONGITUDE_OUT_OF_RANGE
prior to MySQL 8.0.12).
If a latitude value is not in the range [−90, 90],
an
ER_GEOMETRY_PARAM_LATITUDE_OUT_OF_RANGE
error occurs
(ER_LATITUDE_OUT_OF_RANGE
prior to MySQL 8.0.12).
Ranges shown are in degrees. If an SRS uses another unit, the range uses the corresponding values in its unit. The exact range limits deviate slightly due to floating-point arithmetic.
Otherwise, the return value is non-NULL.
These spatial operator functions are available:
ST_Buffer(
g,
d [,
strategy1 [,
strategy2 [,
strategy3]]])
Returns a geometry that represents all points whose distance
from the geometry value g is less
than or equal to a distance of d.
The result is in the same SRS as the geometry argument.
If the geometry argument is empty,
ST_Buffer() returns an empty
geometry.
If the distance is 0,
ST_Buffer() returns the
geometry argument unchanged:
mysql>SET @pt = ST_GeomFromText('POINT(0 0)');mysql>SELECT ST_AsText(ST_Buffer(@pt, 0));+------------------------------+ | ST_AsText(ST_Buffer(@pt, 0)) | +------------------------------+ | POINT(0 0) | +------------------------------+
If the geometry argument is in a Cartesian SRS:
ST_Buffer() supports
negative distances for Polygon and
MultiPolygon values, and for geometry
collections containing Polygon or
MultiPolygon values.
If the result is reduced so much that it disappears, the result is an empty geometry.
An ER_WRONG_ARGUMENTS
error occurs for
ST_Buffer() with a negative
distance for Point,
MultiPoint,
LineString, and
MultiLineString values, and for
geometry collections not containing any
Polygon or
MultiPolygon values.
If the geometry argument is in a geographic SRS:
Prior to MySQL 8.0.26, an
ER_NOT_IMPLEMENTED_FOR_GEOGRAPHIC_SRS
error occurs.
As of MySQL 8.0.26, Point geometries in
a geographic SRS are permitted. For
non-Point geometries, an
ER_NOT_IMPLEMENTED_FOR_GEOGRAPHIC_SRS
error still occurs.
For MySQL versions that permit geographic
Point geometries:
If the distance is not negative and no strategies are
specified, the function returns the geographic buffer of
the Point in its SRS. The distance
argument must be in the SRS distance unit (currently
always meters).
If the distance is negative or any strategy (except
NULL) is specified, an
ER_WRONG_ARGUMENTS error
occurs.
ST_Buffer() permits up to three
optional strategy arguments following the distance argument.
Strategies influence buffer computation. These arguments are
byte string values produced by the
ST_Buffer_Strategy() function,
to be used for point, join, and end strategies:
Point strategies apply to Point and
MultiPoint geometries. If no point
strategy is specified, the default is
ST_Buffer_Strategy('point_circle',
32).
Join strategies apply to LineString,
MultiLineString,
Polygon, and
MultiPolygon geometries. If no join
strategy is specified, the default is
ST_Buffer_Strategy('join_round',
32).
End strategies apply to LineString and
MultiLineString geometries. If no end
strategy is specified, the default is
ST_Buffer_Strategy('end_round',
32).
Up to one strategy of each type may be specified, and they may be given in any order.
If the buffer strategies are invalid, an
ER_WRONG_ARGUMENTS error
occurs. Strategies are invalid under any of these
circumstances:
Multiple strategies of a given type (point, join, or end) are specified.
A value that is not a strategy (such as an arbitrary binary string or a number) is passed as a strategy.
A Point strategy is passed and the
geometry contains no Point or
MultiPoint values.
An end or join strategy is passed and the geometry
contains no LineString,
Polygon,
MultiLinestring or
MultiPolygon values.
mysql>SET @pt = ST_GeomFromText('POINT(0 0)');mysql>SET @pt_strategy = ST_Buffer_Strategy('point_square');mysql>SELECT ST_AsText(ST_Buffer(@pt, 2, @pt_strategy));+--------------------------------------------+ | ST_AsText(ST_Buffer(@pt, 2, @pt_strategy)) | +--------------------------------------------+ | POLYGON((-2 -2,2 -2,2 2,-2 2,-2 -2)) | +--------------------------------------------+
mysql>SET @ls = ST_GeomFromText('LINESTRING(0 0,0 5,5 5)');mysql>SET @end_strategy = ST_Buffer_Strategy('end_flat');mysql>SET @join_strategy = ST_Buffer_Strategy('join_round', 10);mysql>SELECT ST_AsText(ST_Buffer(@ls, 5, @end_strategy, @join_strategy))+---------------------------------------------------------------+ | ST_AsText(ST_Buffer(@ls, 5, @end_strategy, @join_strategy)) | +---------------------------------------------------------------+ | POLYGON((5 5,5 10,0 10,-3.5355339059327373 8.535533905932738, | | -5 5,-5 0,0 0,5 0,5 5)) | +---------------------------------------------------------------+
ST_Buffer_Strategy(
strategy
[, points_per_circle])
This function returns a strategy byte string for use with
ST_Buffer() to influence buffer
computation.
Information about strategies is available at Boost.org.
The first argument must be a string indicating a strategy option:
For point strategies, permitted values are
'point_circle' and
'point_square'.
For join strategies, permitted values are
'join_round' and
'join_miter'.
For end strategies, permitted values are
'end_round' and
'end_flat'.
If the first argument is 'point_circle',
'join_round',
'join_miter', or
'end_round', the
points_per_circle argument must be
given as a positive numeric value. The maximum
points_per_circle value is the
value of the
max_points_in_geometry system
variable.
For examples, see the description of
ST_Buffer().
ST_Buffer_Strategy() handles
its arguments as described in the introduction to this
section, with these exceptions:
If any argument is invalid, an
ER_WRONG_ARGUMENTS error
occurs.
If the first argument is 'point_square'
or 'end_flat', the
points_per_circle argument must
not be given or an
ER_WRONG_ARGUMENTS error
occurs.
Returns a geometry that represents the convex hull of the
geometry value g.
This function computes a geometry's convex hull by first
checking whether its vertex points are colinear. The function
returns a linear hull if so, a polygon hull otherwise. This
function processes geometry collections by extracting all
vertex points of all components of the collection, creating a
MultiPoint value from them, and computing
its convex hull.
ST_ConvexHull() handles its
arguments as described in the introduction to this section,
with this exception:
The return value is NULL for the
additional condition that the argument is an empty
geometry collection.
mysql>SET @g = 'MULTIPOINT(5 0,25 0,15 10,15 25)';mysql>SELECT ST_AsText(ST_ConvexHull(ST_GeomFromText(@g)));+-----------------------------------------------+ | ST_AsText(ST_ConvexHull(ST_GeomFromText(@g))) | +-----------------------------------------------+ | POLYGON((5 0,25 0,15 25,5 0)) | +-----------------------------------------------+
Returns a geometry that represents the point set difference of
the geometry values g1 and
g2. The result is in the same SRS
as the geometry arguments.
As of MySQL 8.0.26,
ST_Difference() permits
arguments in either a Cartesian or a geographic SRS. Prior to
MySQL 8.0.26, ST_Difference()
permits arguments in a Cartesian SRS only; for arguments in a
geographic SRS, an
ER_NOT_IMPLEMENTED_FOR_GEOGRAPHIC_SRS
error occurs.
ST_Difference() handles its
arguments as described in the introduction to this section.
mysql>SET @g1 = Point(1,1), @g2 = Point(2,2);mysql>SELECT ST_AsText(ST_Difference(@g1, @g2));+------------------------------------+ | ST_AsText(ST_Difference(@g1, @g2)) | +------------------------------------+ | POINT(1 1) | +------------------------------------+
Returns a geometry that represents the point set intersection
of the geometry values g1 and
g2. The result is in the same SRS
as the geometry arguments.
As of MySQL 8.0.27,
ST_Intersection() permits
arguments in either a Cartesian or a geographic SRS. Prior to
MySQL 8.0.27, ST_Intersection()
permits arguments in a Cartesian SRS only; for arguments in a
geographic SRS, an
ER_NOT_IMPLEMENTED_FOR_GEOGRAPHIC_SRS
error occurs.
ST_Intersection() handles its
arguments as described in the introduction to this section.
mysql>SET @g1 = ST_GeomFromText('LineString(1 1, 3 3)');mysql>SET @g2 = ST_GeomFromText('LineString(1 3, 3 1)');mysql>SELECT ST_AsText(ST_Intersection(@g1, @g2));+--------------------------------------+ | ST_AsText(ST_Intersection(@g1, @g2)) | +--------------------------------------+ | POINT(2 2) | +--------------------------------------+
ST_LineInterpolatePoint(
ls,
fractional_distance)
This function takes a LineString geometry
and a fractional distance in the range [0.0, 1.0] and returns
the Point along the
LineString at the given fraction of the
distance from its start point to its endpoint. It can be used
to answer questions such as which Point
lies halfway along the road described by the geometry
argument.
The function is implemented for LineString
geometries in all spatial reference systems, both Cartesian
and geographic.
If the fractional_distance argument
is 1.0, the result may not be exactly the last point of the
LineString argument but a point close to it
due to numerical inaccuracies in approximate-value
computations.
A related function,
ST_LineInterpolatePoints(),
takes similar arguments but returns a
MultiPoint consisting of
Point values along the
LineString at each fraction of the distance
from its start point to its endpoint. For examples of both
functions, see the
ST_LineInterpolatePoints()
description.
ST_LineInterpolatePoint()
handles its arguments as described in the introduction to this
section, with these exceptions:
If the geometry argument is not a
LineString, an
ER_UNEXPECTED_GEOMETRY_TYPE
error occurs.
If the fractional distance argument is outside the range
[0.0, 1.0], an
ER_DATA_OUT_OF_RANGE error
occurs.
ST_LineInterpolatePoint() is a
MySQL extension to OpenGIS. This function was added in MySQL
8.0.24.
ST_LineInterpolatePoints(
ls,
fractional_distance)
This function takes a LineString geometry
and a fractional distance in the range (0.0, 1.0] and returns
the MultiPoint consisting of the
LineString start point, plus
Point values along the
LineString at each fraction of the distance
from its start point to its endpoint. It can be used to answer
questions such as which Point values lie
every 10% of the way along the road described by the geometry
argument.
The function is implemented for LineString
geometries in all spatial reference systems, both Cartesian
and geographic.
If the fractional_distance argument
divides 1.0 with zero remainder the result may not contain the
last point of the LineString argument but a
point close to it due to numerical inaccuracies in
approximate-value computations.
A related function,
ST_LineInterpolatePoint(),
takes similar arguments but returns the
Point along the
LineString at the given fraction of the
distance from its start point to its endpoint.
ST_LineInterpolatePoints()
handles its arguments as described in the introduction to this
section, with these exceptions:
If the geometry argument is not a
LineString, an
ER_UNEXPECTED_GEOMETRY_TYPE
error occurs.
If the fractional distance argument is outside the range
[0.0, 1.0], an
ER_DATA_OUT_OF_RANGE error
occurs.
mysql>SET @ls1 = ST_GeomFromText('LINESTRING(0 0,0 5,5 5)');mysql>SELECT ST_AsText(ST_LineInterpolatePoint(@ls1, .5));+----------------------------------------------+ | ST_AsText(ST_LineInterpolatePoint(@ls1, .5)) | +----------------------------------------------+ | POINT(0 5) | +----------------------------------------------+ mysql>SELECT ST_AsText(ST_LineInterpolatePoint(@ls1, .75));+-----------------------------------------------+ | ST_AsText(ST_LineInterpolatePoint(@ls1, .75)) | +-----------------------------------------------+ | POINT(2.5 5) | +-----------------------------------------------+ mysql>SELECT ST_AsText(ST_LineInterpolatePoint(@ls1, 1));+---------------------------------------------+ | ST_AsText(ST_LineInterpolatePoint(@ls1, 1)) | +---------------------------------------------+ | POINT(5 5) | +---------------------------------------------+ mysql>SELECT ST_AsText(ST_LineInterpolatePoints(@ls1, .25));+------------------------------------------------+ | ST_AsText(ST_LineInterpolatePoints(@ls1, .25)) | +------------------------------------------------+ | MULTIPOINT((0 2.5),(0 5),(2.5 5),(5 5)) | +------------------------------------------------+
ST_LineInterpolatePoints() is a
MySQL extension to OpenGIS. This function was added in MySQL
8.0.24.
ST_PointAtDistance(
ls,
distance)
This function takes a LineString geometry
and a distance in the range [0.0,
ST_Length(]
measured in the unit of the spatial reference system (SRS) of
the ls)LineString, and returns the
Point along the
LineString at that distance from its start
point. It can be used to answer questions such as which
Point value is 400 meters from the start of
the road described by the geometry argument.
The function is implemented for LineString
geometries in all spatial reference systems, both Cartesian
and geographic.
ST_PointAtDistance() handles
its arguments as described in the introduction to this
section, with these exceptions:
If the geometry argument is not a
LineString, an
ER_UNEXPECTED_GEOMETRY_TYPE
error occurs.
If the fractional distance argument is outside the range
[0.0,
ST_Length(],
an ls)ER_DATA_OUT_OF_RANGE
error occurs.
ST_PointAtDistance() is a MySQL
extension to OpenGIS. This function was added in MySQL 8.0.24.
Returns a geometry that represents the point set symmetric
difference of the geometry values
g1 and
g2, which is defined as:
g1symdifferenceg2:= (g1uniong2) difference (g1intersectiong2)
Or, in function call notation:
ST_SymDifference(g1,g2) = ST_Difference(ST_Union(g1,g2), ST_Intersection(g1,g2))
The result is in the same SRS as the geometry arguments.
As of MySQL 8.0.27,
ST_SymDifference() permits
arguments in either a Cartesian or a geographic SRS. Prior to
MySQL 8.0.27,
ST_SymDifference() permits
arguments in a Cartesian SRS only; for arguments in a
geographic SRS, an
ER_NOT_IMPLEMENTED_FOR_GEOGRAPHIC_SRS
error occurs.
ST_SymDifference() handles its
arguments as described in the introduction to this section.
mysql>SET @g1 = ST_GeomFromText('MULTIPOINT(5 0,15 10,15 25)');mysql>SET @g2 = ST_GeomFromText('MULTIPOINT(1 1,15 10,15 25)');mysql>SELECT ST_AsText(ST_SymDifference(@g1, @g2));+---------------------------------------+ | ST_AsText(ST_SymDifference(@g1, @g2)) | +---------------------------------------+ | MULTIPOINT((1 1),(5 0)) | +---------------------------------------+
Transforms a geometry from one spatial reference system (SRS)
to another. The return value is a geometry of the same type as
the input geometry with all coordinates transformed to the
target SRID, target_srid. Prior to
MySQL 8.0.30, transformation support was limited to geographic
SRSs (unless the SRID of the geometry argument was the same as
the target SRID value, in which case the return value was the
input geometry for any valid SRS), and this function did not
support Cartesian SRSs. Beginning with MySQL 8.0.30, support
is provided for the Popular Visualisation Pseudo Mercator
(EPSG 1024) projection method, used for WGS 84 Pseudo-Mercator
(SRID 3857). In MySQL 8.0.32 and later, support is extended to
all SRSs defined by EPSG except for those listed here:
EPSG 1042 Krovak Modified
EPSG 1043 Krovak Modified (North Orientated)
EPSG 9816 Tunisia Mining Grid
EPSG 9826 Lambert Conic Conformal (West Orientated)
ST_Transform() handles its
arguments as described in the introduction to this section,
with these exceptions:
Geometry arguments that have an SRID value for a geographic SRS do not produce an error.
If the geometry or target SRID argument has an SRID value
that refers to an undefined spatial reference system
(SRS), an ER_SRS_NOT_FOUND
error occurs.
If the geometry is in an SRS that
ST_Transform() cannot
transform from, an
ER_TRANSFORM_SOURCE_SRS_NOT_SUPPORTED
error occurs.
If the target SRID is in an SRS that
ST_Transform() cannot
transform to, an
ER_TRANSFORM_TARGET_SRS_NOT_SUPPORTED
error occurs.
If the geometry is in an SRS that is not WGS 84 and has no
TOWGS84 clause, an
ER_TRANSFORM_SOURCE_SRS_MISSING_TOWGS84
error occurs.
If the target SRID is in an SRS that is not WGS 84 and has
no TOWGS84 clause, an
ER_TRANSFORM_TARGET_SRS_MISSING_TOWGS84
error occurs.
ST_SRID( and
g,
target_srid)ST_Transform( differ as
follows:
g,
target_srid)
ST_SRID() changes the
geometry SRID value without transforming its coordinates.
ST_Transform() transforms
the geometry coordinates in addition to changing its SRID
value.
mysql>SET @p = ST_GeomFromText('POINT(52.381389 13.064444)', 4326);mysql>SELECT ST_AsText(@p);+----------------------------+ | ST_AsText(@p) | +----------------------------+ | POINT(52.381389 13.064444) | +----------------------------+ mysql>SET @p = ST_Transform(@p, 4230);mysql>SELECT ST_AsText(@p);+---------------------------------------------+ | ST_AsText(@p) | +---------------------------------------------+ | POINT(52.38208611407426 13.065520672345304) | +---------------------------------------------+
Returns a geometry that represents the point set union of the
geometry values g1 and
g2. The result is in the same SRS
as the geometry arguments.
As of MySQL 8.0.26, ST_Union()
permits arguments in either a Cartesian or a geographic SRS.
Prior to MySQL 8.0.26,
ST_Union() permits arguments in
a Cartesian SRS only; for arguments in a geographic SRS, an
ER_NOT_IMPLEMENTED_FOR_GEOGRAPHIC_SRS
error occurs.
ST_Union() handles its
arguments as described in the introduction to this section.
mysql>SET @g1 = ST_GeomFromText('LineString(1 1, 3 3)');mysql>SET @g2 = ST_GeomFromText('LineString(1 3, 3 1)');mysql>SELECT ST_AsText(ST_Union(@g1, @g2));+--------------------------------------+ | ST_AsText(ST_Union(@g1, @g2)) | +--------------------------------------+ | MULTILINESTRING((1 1,3 3),(1 3,3 1)) | +--------------------------------------+