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MySQL 8.0 Reference Manual
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12.17.9.2 Spatial Relation Functions That Use Minimum Bounding Rectangles

MySQL provides several MySQL-specific functions that test the relationship between minimum bounding rectangles (MBRs) of two geometriesg1andg2. The return values 1 and 0 indicate true and false, respectively.

The bounding box of a point is interpreted as a point that is both boundary and interior.

The bounding box of a straight horizontal or vertical line is interpreted as a line where the interior of the line is also boundary. The endpoints are boundary points.

If any of the parameters are geometry collections, the interior, boundary, and exterior of those parameters are those of the union of all elements in the collection.

Functions in this section detect arguments in either Cartesian or geographic spatial reference systems (SRSs), and return results appropriate to the SRS.

Unless otherwise specified, functions in this section handle their geometry arguments as follows:

  • If any argument isNULLor an empty geometry, the return value isNULL.

  • If any geometry argument is not a syntactically well-formed geometry, anER_GIS_INVALID_DATAerror occurs.

  • If any geometry argument is a syntactically well-formed geometry in an undefined spatial reference system (SRS), anER_SRS_NOT_FOUNDerror occurs.

  • For functions that take multiple geometry arguments, if those arguments are not in the same SRS, anER_GIS_DIFFERENT_SRIDSerror occurs.

  • If any argument is geometrically invalid, either the result is true or false (it is undefined which), or an error occurs.

  • For geographic SRS geometry arguments, if any argument has a longitude or latitude that is out of range, an error occurs:

    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 MBR functions are available for testing geometry relationships:

  • MBRContains(g1,g2)

    Returns 1 or 0 to indicate whether the minimum bounding rectangle ofg1contains the minimum bounding rectangle ofg2. This tests the opposite relationship asMBRWithin().

    MBRContains()handles its arguments as described in the introduction to this section.

    mysql> SET @g1 = ST_GeomFromText('Polygon((0 0,0 3,3 3,3 0,0 0))'); mysql> SET @g2 = ST_GeomFromText('Point(1 1)'); mysql> SELECT MBRContains(@g1,@g2), MBRWithin(@g2,@g1); +----------------------+--------------------+ | MBRContains(@g1,@g2) | MBRWithin(@g2,@g1) | +----------------------+--------------------+ | 1 | 1 | +----------------------+--------------------+
  • MBRCoveredBy(g1,g2)

    Returns 1 or 0 to indicate whether the minimum bounding rectangle ofg1is covered by the minimum bounding rectangle ofg2. This tests the opposite relationship asMBRCovers().

    MBRCoveredBy()handles its arguments as described in the introduction to this section.

    mysql> SET @g1 = ST_GeomFromText('Polygon((0 0,0 3,3 3,3 0,0 0))'); mysql> SET @g2 = ST_GeomFromText('Point(1 1)'); mysql> SELECT MBRCovers(@g1,@g2), MBRCoveredby(@g1,@g2); +--------------------+-----------------------+ | MBRCovers(@g1,@g2) | MBRCoveredby(@g1,@g2) | +--------------------+-----------------------+ | 1 | 0 | +--------------------+-----------------------+ mysql> SELECT MBRCovers(@g2,@g1), MBRCoveredby(@g2,@g1); +--------------------+-----------------------+ | MBRCovers(@g2,@g1) | MBRCoveredby(@g2,@g1) | +--------------------+-----------------------+ | 0 | 1 | +--------------------+-----------------------+
  • MBRCovers(g1,g2)

    Returns 1 or 0 to indicate whether the minimum bounding rectangle ofg1covers the minimum bounding rectangle ofg2. This tests the opposite relationship asMBRCoveredBy(). See the description ofMBRCoveredBy()for examples.

    MBRCovers()handles its arguments as described in the introduction to this section.

  • MBRDisjoint(g1,g2)

    Returns 1 or 0 to indicate whether the minimum bounding rectangles of the two geometriesg1andg2are disjoint (do not intersect).

    MBRDisjoint()handles its arguments as described in the introduction to this section.

  • MBREquals(g1,g2)

    Returns 1 or 0 to indicate whether the minimum bounding rectangles of the two geometriesg1andg2are the same.

    MBREquals()handles its arguments as described in the introduction to this section, except that it does not returnNULLfor empty geometry arguments.

  • MBRIntersects(g1,g2)

    Returns 1 or 0 to indicate whether the minimum bounding rectangles of the two geometriesg1andg2intersect.

    MBRIntersects()handles its arguments as described in the introduction to this section.

  • MBROverlaps(g1,g2)

    Two geometriesspatially overlapif they intersect and their intersection results in a geometry of the same dimension but not equal to either of the given geometries.

    This function returns 1 or 0 to indicate whether the minimum bounding rectangles of the two geometriesg1andg2overlap.

    MBROverlaps()handles its arguments as described in the introduction to this section.

  • MBRTouches(g1,g2)

    Two geometriesspatially touchif their interiors do not intersect, but the boundary of one of the geometries intersects either the boundary or the interior of the other.

    This function returns 1 or 0 to indicate whether the minimum bounding rectangles of the two geometriesg1andg2touch.

    MBRTouches()handles its arguments as described in the introduction to this section.

  • MBRWithin(g1,g2)

    Returns 1 or 0 to indicate whether the minimum bounding rectangle ofg1is within the minimum bounding rectangle ofg2. This tests the opposite relationship asMBRContains().

    MBRWithin()handles its arguments as described in the introduction to this section.

    mysql> SET @g1 = ST_GeomFromText('Polygon((0 0,0 3,3 3,3 0,0 0))'); mysql> SET @g2 = ST_GeomFromText('Polygon((0 0,0 5,5 5,5 0,0 0))'); mysql> SELECT MBRWithin(@g1,@g2), MBRWithin(@g2,@g1); +--------------------+--------------------+ | MBRWithin(@g1,@g2) | MBRWithin(@g2,@g1) | +--------------------+--------------------+ | 1 | 0 | +--------------------+--------------------+