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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML
><HEAD
><TITLE
>Geometric Types</TITLE
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><A
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><HR
ALIGN="LEFT"
WIDTH="100%"></DIV
><H1
CLASS="SECT1"
><A
NAME="AEN1275"
>Geometric Types</A
></H1
><P
>Geometric types represent two-dimensional spatial objects.
The most fundamental type,
the point, forms the basis for all of the other types.</P
><P
><DIV
CLASS="TABLE"
><P
><B
>Table 5-13. <SPAN
CLASS="PRODUCTNAME"
>Postgres</SPAN
> Geometric Types</B
></P
><TABLE
BORDER="1"
CLASS="CALSTABLE"
><TR
><TH
ALIGN="LEFT"
VALIGN="TOP"
>Geometric Type</TH
><TH
ALIGN="LEFT"
VALIGN="TOP"
>Storage</TH
><TH
ALIGN="LEFT"
VALIGN="TOP"
>Representation</TH
><TH
ALIGN="LEFT"
VALIGN="TOP"
>Description</TH
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>point</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>16 bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>(x,y)</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Point in space</TD
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>line</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>32 bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>((x1,y1),(x2,y2))</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Infinite line</TD
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>lseg</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>32 bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>((x1,y1),(x2,y2))</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Finite line segment</TD
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>box</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>32 bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>((x1,y1),(x2,y2))</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Rectangular box</TD
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>path</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>4+32n bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>((x1,y1),...)</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Closed path (similar to polygon)</TD
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>path</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>4+32n bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>[(x1,y1),...]</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Open path</TD
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>polygon</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>4+32n bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>((x1,y1),...)</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Polygon (similar to closed path)</TD
></TR
><TR
><TD
ALIGN="LEFT"
VALIGN="TOP"
>circle</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>24 bytes</TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
><(x,y),r></TD
><TD
ALIGN="LEFT"
VALIGN="TOP"
>Circle (center and radius)</TD
></TR
></TABLE
></DIV
></P
><P
>A rich set of functions and operators is available to perform various geometric
operations such as scaling, translation, rotation, and determining
intersections.</P
><H2
CLASS="SECT2"
><A
NAME="AEN1332"
>Point</A
></H2
><P
>Points are specified using the following syntax:
<PRE
CLASS="PROGRAMLISTING"
>( x , y )
x , y
where
x is the x-axis coordinate as a floating point number
y is the y-axis coordinate as a floating point number</PRE
></P
><H2
CLASS="SECT2"
><A
NAME="AEN1336"
>Line Segment</A
></H2
><P
>Line segments (lseg) are represented by pairs of points.</P
><P
>lseg is specified using the following syntax:
<PRE
CLASS="PROGRAMLISTING"
>( ( x1 , y1 ) , ( x2 , y2 ) )
( x1 , y1 ) , ( x2 , y2 )
x1 , y1 , x2 , y2
where
(x1,y1) and (x2,y2) are the endpoints of the segment</PRE
></P
><H2
CLASS="SECT2"
><A
NAME="AEN1341"
>Box</A
></H2
><P
>Boxes are represented by pairs of points which are opposite
corners of the box.</P
><P
>box is specified using the following syntax:
<PRE
CLASS="PROGRAMLISTING"
>( ( x1 , y1 ) , ( x2 , y2 ) )
( x1 , y1 ) , ( x2 , y2 )
x1 , y1 , x2 , y2
where
(x1,y1) and (x2,y2) are opposite corners</PRE
>
Boxes are output using the first syntax.
The corners are reordered on input to store
the lower left corner first and the upper right corner last.
Other corners of the box can be entered, but the lower
left and upper right corners are determined from the input and stored.</P
><H2
CLASS="SECT2"
><A
NAME="AEN1346"
>Path</A
></H2
><P
>Paths are represented by connected sets of points. Paths can be "open", where
the first and last points in the set are not connected, and "closed",
where the first and last point are connected. Functions
<TT
CLASS="FUNCTION"
>popen(p)</TT
>
and
<TT
CLASS="FUNCTION"
>pclose(p)</TT
>
are supplied to force a path to be open or closed, and functions
<TT
CLASS="FUNCTION"
>isopen(p)</TT
>
and
<TT
CLASS="FUNCTION"
>isclosed(p)</TT
>
are supplied to select either type in a query.</P
><P
>path is specified using the following syntax:
<PRE
CLASS="PROGRAMLISTING"
>( ( x1 , y1 ) , ... , ( xn , yn ) )
[ ( x1 , y1 ) , ... , ( xn , yn ) ]
( x1 , y1 ) , ... , ( xn , yn )
( x1 , y1 , ... , xn , yn )
x1 , y1 , ... , xn , yn
where
(x1,y1),...,(xn,yn) are points 1 through n
a leading "[" indicates an open path
a leading "(" indicates a closed path</PRE
>
Paths are output using the first syntax.
Note that <SPAN
CLASS="PRODUCTNAME"
>Postgres</SPAN
> versions prior to
v6.1 used a format for paths which had a single leading parenthesis,
a "closed" flag,
an integer count of the number of points, then the list of points followed by a
closing parenthesis.
The built-in function <TT
CLASS="FUNCTION"
>upgradepath</TT
> is supplied to convert
paths dumped and reloaded from pre-v6.1 databases.</P
><H2
CLASS="SECT2"
><A
NAME="AEN1357"
>Polygon</A
></H2
><P
>Polygons are represented by sets of points. Polygons should probably be
considered equivalent to closed paths, but are stored differently
and have their own set of support routines.</P
><P
>polygon is specified using the following syntax:
<PRE
CLASS="PROGRAMLISTING"
>( ( x1 , y1 ) , ... , ( xn , yn ) )
( x1 , y1 ) , ... , ( xn , yn )
( x1 , y1 , ... , xn , yn )
x1 , y1 , ... , xn , yn
where
(x1,y1),...,(xn,yn) are points 1 through n</PRE
>
Polygons are output using the first syntax.
Note that <SPAN
CLASS="PRODUCTNAME"
>Postgres</SPAN
> versions prior to
v6.1 used a format for polygons which had a single leading parenthesis, the list
of x-axis coordinates, the list of y-axis coordinates,
followed by a closing parenthesis.
The built-in function <TT
CLASS="FUNCTION"
>upgradepoly</TT
> is supplied to convert
polygons dumped and reloaded from pre-v6.1 databases.</P
><H2
CLASS="SECT2"
><A
NAME="AEN1364"
>Circle</A
></H2
><P
>Circles are represented by a center point and a radius.</P
><P
>circle is specified using the following syntax:
<PRE
CLASS="PROGRAMLISTING"
>< ( x , y ) , r >
( ( x , y ) , r )
( x , y ) , r
x , y , r
where
(x,y) is the center of the circle
r is the radius of the circle</PRE
>
Circles are output using the first syntax.</P
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