Relations on Geometry Minimal Bounding Rectangles (MBRs)

MySQL provides some functions that can test relations between mininal bounding rectangles of two geometries g1 and g2. They include:

MBRContains(g1,g2) Returns 1 or 0 to indicate whether or not the Minimum Bounding Rectangle of g1 contains the Minimum Bounding Rectangle of g2.
    mysql> SET @g1 = GeomFromText('Polygon((0 0,0 3,3 3,3 0,0 0))');
    mysql> SET @g2 = GeomFromText('Point(1 1)');
    mysql> SELECT MBRContains(@g1,@g2), MBRContains(@g2,@g1);
    ----------------------+----------------------+
    | MBRContains(@g1,@g2) | MBRContains(@g2,@g1) |
    +----------------------+----------------------+
    |                    1 |                    0 |
    +----------------------+----------------------+
    
MBRWithin(g1,g2) Returns 1 or 0 to indicate whether or not the Minimum Bounding Rectangle of g1 is within the Minimum Bounding Rectangle of g2.
    mysql> SET @g1 = GeomFromText('Polygon((0 0,0 3,3 3,3 0,0 0))');
    mysql> SET @g2 = 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 |
    +--------------------+--------------------+
    
MBRDisjoint(g1,g2) Returns 1 or 0 to indicate whether or not the Minimum Bounding Rectangles of the two geometries g1 and g2 are disjoint (do not intersect).
MBREquals(g1,g2) Returns 1 or 0 to indicate whether or not the Minimum Bounding Rectangles of the two geometries g1 and g2 are the same.
MBRIntersects(g1,g2) Returns 1 or 0 to indicate whether or not the Minimum Bounding Rectangles of the two geometries g1 and g2 intersect.
MBROverlaps(g1,g2) Returns 1 or 0 to indicate whether or not the Minimum Bounding Rectangles of the two geometries g1 and g2 overlap.
MBRTouches(g1,g2) Returns 1 or 0 to indicate whether or not the Minimum Bounding Rectangles of the two geometries g1 and g2 touch.