The geometric types point, box, lseg, line, path, polygon, and circle have a large set of native support functions.
Table 5-12. Geometric Functions
| Function | Returns | Description | Example | 
|---|---|---|---|
| area(object) | float8 | area of item | area(box '((0,0),(1,1))') | 
| box(box,box) | box | intersection box | box(box '((0,0),(1,1))',box '((0.5,0.5),(2,2))') | 
| center(object) | point | center of item | center(box '((0,0),(1,2))') | 
| diameter(circle) | float8 | diameter of circle | diameter(circle '((0,0),2.0)') | 
| height(box) | float8 | vertical size of box | height(box '((0,0),(1,1))') | 
| isclosed(path) | bool | a closed path? | isclosed(path '((0,0),(1,1),(2,0))') | 
| isopen(path) | bool | an open path? | isopen(path '[(0,0),(1,1),(2,0)]') | 
| length(object) | float8 | length of item | length(path '((-1,0),(1,0))') | 
| pclose(path) | path | convert path to closed | popen(path '[(0,0),(1,1),(2,0)]') | 
| npoint(path) | int4 | number of points | npoints(path '[(0,0),(1,1),(2,0)]') | 
| popen(path) | path | convert path to open path | popen(path '((0,0),(1,1),(2,0))') | 
| radius(circle) | float8 | radius of circle | radius(circle '((0,0),2.0)') | 
| width(box) | float8 | horizontal size | width(box '((0,0),(1,1))') | 
Table 5-13. Geometric Type Conversion Functions
| Function | Returns | Description | Example | 
|---|---|---|---|
| box(circle) | box | circle to box | box('((0,0),2.0)'::circle) | 
| box(point,point) | box | points to box | box('(0,0)'::point,'(1,1)'::point) | 
| box(polygon) | box | polygon to box | box('((0,0),(1,1),(2,0))'::polygon) | 
| circle(box) | circle | to circle | circle('((0,0),(1,1))'::box) | 
| circle(point,float8) | circle | point to circle | circle('(0,0)'::point,2.0) | 
| lseg(box) | lseg | box diagonal to lseg | lseg('((-1,0),(1,0))'::box) | 
| lseg(point,point) | lseg | points to lseg | lseg('(-1,0)'::point,'(1,0)'::point) | 
| path(polygon) | point | polygon to path | path('((0,0),(1,1),(2,0))'::polygon) | 
| point(circle) | point | center | point('((0,0),2.0)'::circle) | 
| point(lseg,lseg) | point | intersection | point('((-1,0),(1,0))'::lseg, '((-2,-2),(2,2))'::lseg) | 
| point(polygon) | point | center | point('((0,0),(1,1),(2,0))'::polygon) | 
| polygon(box) | polygon | 12 point polygon | polygon('((0,0),(1,1))'::box) | 
| polygon(circle) | polygon | 12-point polygon | polygon('((0,0),2.0)'::circle) | 
| polygon(npts,circle) | polygon | npts polygon | polygon(12,'((0,0),2.0)'::circle) | 
| polygon(path) | polygon | path to polygon | polygon('((0,0),(1,1),(2,0))'::path) | 
Table 5-14. Geometric Upgrade Functions
| Function | Returns | Description | Example | 
|---|---|---|---|
| isoldpath(path) | path | test path for pre-v6.1 form | isoldpath('(1,3,0,0,1,1,2,0)'::path) | 
| revertpoly(polygon) | polygon | to pre-v6.1 | revertpoly('((0,0),(1,1),(2,0))'::polygon) | 
| upgradepath(path) | path | to pre-v6.1 | upgradepath('(1,3,0,0,1,1,2,0)'::path) | 
| upgradepoly(polygon) | polygon | to pre-v6.1 | upgradepoly('(0,1,2,0,1,0)'::polygon) |