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django/docs/ref/contrib/gis/geos.txt
Tobias Kunze 4a954cfd11 Fixed #30573 -- Rephrased documentation to avoid words that minimise the involved difficulty.
This patch does not remove all occurrences of the words in question.
Rather, I went through all of the occurrences of the words listed
below, and judged if they a) suggested the reader had some kind of
knowledge/experience, and b) if they added anything of value (including
tone of voice, etc). I left most of the words alone. I looked at the
following words:

- simply/simple
- easy/easier/easiest
- obvious
- just
- merely
- straightforward
- ridiculous

Thanks to Carlton Gibson for guidance on how to approach this issue, and
to Tim Bell for providing the idea. But the enormous lion's share of
thanks go to Adam Johnson for his patient and helpful review.
2019-09-06 13:27:46 +02:00

1116 lines
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Plaintext

========
GEOS API
========
.. module:: django.contrib.gis.geos
:synopsis: GeoDjango's high-level interface to the GEOS library.
Background
==========
What is GEOS?
-------------
`GEOS`__ stands for **Geometry Engine - Open Source**,
and is a C++ library, ported from the `Java Topology Suite`__. GEOS
implements the OpenGIS `Simple Features for SQL`__ spatial predicate functions
and spatial operators. GEOS, now an OSGeo project, was initially developed and
maintained by `Refractions Research`__ of Victoria, Canada.
__ https://trac.osgeo.org/geos/
__ https://sourceforge.net/projects/jts-topo-suite/
__ https://www.opengeospatial.org/standards/sfs
__ http://www.refractions.net/
Features
--------
GeoDjango implements a high-level Python wrapper for the GEOS library, its
features include:
* A BSD-licensed interface to the GEOS geometry routines, implemented purely
in Python using ``ctypes``.
* Loosely-coupled to GeoDjango. For example, :class:`GEOSGeometry` objects
may be used outside of a Django project/application. In other words,
no need to have ``DJANGO_SETTINGS_MODULE`` set or use a database, etc.
* Mutability: :class:`GEOSGeometry` objects may be modified.
* Cross-platform and tested; compatible with Windows, Linux, Solaris, and
macOS platforms.
.. _geos-tutorial:
Tutorial
========
This section contains a brief introduction and tutorial to using
:class:`GEOSGeometry` objects.
Creating a Geometry
-------------------
:class:`GEOSGeometry` objects may be created in a few ways. The first is
to simply instantiate the object on some spatial input -- the following
are examples of creating the same geometry from WKT, HEX, WKB, and GeoJSON::
>>> from django.contrib.gis.geos import GEOSGeometry
>>> pnt = GEOSGeometry('POINT(5 23)') # WKT
>>> pnt = GEOSGeometry('010100000000000000000014400000000000003740') # HEX
>>> pnt = GEOSGeometry(buffer('\x01\x01\x00\x00\x00\x00\x00\x00\x00\x00\x00\x14@\x00\x00\x00\x00\x00\x007@'))
>>> pnt = GEOSGeometry('{ "type": "Point", "coordinates": [ 5.000000, 23.000000 ] }') # GeoJSON
Another option is to use the constructor for the specific geometry type
that you wish to create. For example, a :class:`Point` object may be
created by passing in the X and Y coordinates into its constructor::
>>> from django.contrib.gis.geos import Point
>>> pnt = Point(5, 23)
All these constructors take the keyword argument ``srid``. For example::
>>> from django.contrib.gis.geos import GEOSGeometry, LineString, Point
>>> print(GEOSGeometry('POINT (0 0)', srid=4326))
SRID=4326;POINT (0 0)
>>> print(LineString((0, 0), (1, 1), srid=4326))
SRID=4326;LINESTRING (0 0, 1 1)
>>> print(Point(0, 0, srid=32140))
SRID=32140;POINT (0 0)
Finally, there is the :func:`fromfile` factory method which returns a
:class:`GEOSGeometry` object from a file::
>>> from django.contrib.gis.geos import fromfile
>>> pnt = fromfile('/path/to/pnt.wkt')
>>> pnt = fromfile(open('/path/to/pnt.wkt'))
.. _geos-exceptions-in-logfile:
.. admonition:: My logs are filled with GEOS-related errors
You find many ``TypeError`` or ``AttributeError`` exceptions filling your
Web server's log files. This generally means that you are creating GEOS
objects at the top level of some of your Python modules. Then, due to a race
condition in the garbage collector, your module is garbage collected before
the GEOS object. To prevent this, create :class:`GEOSGeometry` objects
inside the local scope of your functions/methods.
Geometries are Pythonic
-----------------------
:class:`GEOSGeometry` objects are 'Pythonic', in other words components may
be accessed, modified, and iterated over using standard Python conventions.
For example, you can iterate over the coordinates in a :class:`Point`::
>>> pnt = Point(5, 23)
>>> [coord for coord in pnt]
[5.0, 23.0]
With any geometry object, the :attr:`GEOSGeometry.coords` property
may be used to get the geometry coordinates as a Python tuple::
>>> pnt.coords
(5.0, 23.0)
You can get/set geometry components using standard Python indexing
techniques. However, what is returned depends on the geometry type
of the object. For example, indexing on a :class:`LineString`
returns a coordinate tuple::
>>> from django.contrib.gis.geos import LineString
>>> line = LineString((0, 0), (0, 50), (50, 50), (50, 0), (0, 0))
>>> line[0]
(0.0, 0.0)
>>> line[-2]
(50.0, 0.0)
Whereas indexing on a :class:`Polygon` will return the ring
(a :class:`LinearRing` object) corresponding to the index::
>>> from django.contrib.gis.geos import Polygon
>>> poly = Polygon( ((0.0, 0.0), (0.0, 50.0), (50.0, 50.0), (50.0, 0.0), (0.0, 0.0)) )
>>> poly[0]
<LinearRing object at 0x1044395b0>
>>> poly[0][-2] # second-to-last coordinate of external ring
(50.0, 0.0)
In addition, coordinates/components of the geometry may added or modified,
just like a Python list::
>>> line[0] = (1.0, 1.0)
>>> line.pop()
(0.0, 0.0)
>>> line.append((1.0, 1.0))
>>> line.coords
((1.0, 1.0), (0.0, 50.0), (50.0, 50.0), (50.0, 0.0), (1.0, 1.0))
Geometries support set-like operators::
>>> from django.contrib.gis.geos import LineString
>>> ls1 = LineString((0, 0), (2, 2))
>>> ls2 = LineString((1, 1), (3, 3))
>>> print(ls1 | ls2) # equivalent to `ls1.union(ls2)`
MULTILINESTRING ((0 0, 1 1), (1 1, 2 2), (2 2, 3 3))
>>> print(ls1 & ls2) # equivalent to `ls1.intersection(ls2)`
LINESTRING (1 1, 2 2)
>>> print(ls1 - ls2) # equivalent to `ls1.difference(ls2)`
LINESTRING(0 0, 1 1)
>>> print(ls1 ^ ls2) # equivalent to `ls1.sym_difference(ls2)`
MULTILINESTRING ((0 0, 1 1), (2 2, 3 3))
.. admonition:: Equality operator doesn't check spatial equality
The :class:`~GEOSGeometry` equality operator uses
:meth:`~GEOSGeometry.equals_exact`, not :meth:`~GEOSGeometry.equals`, i.e.
it requires the compared geometries to have the same coordinates in the
same positions with the same SRIDs::
>>> from django.contrib.gis.geos import LineString
>>> ls1 = LineString((0, 0), (1, 1))
>>> ls2 = LineString((1, 1), (0, 0))
>>> ls3 = LineString((1, 1), (0, 0), srid=4326)
>>> ls1.equals(ls2)
True
>>> ls1 == ls2
False
>>> ls3 == ls2 # different SRIDs
False
Geometry Objects
================
``GEOSGeometry``
----------------
.. class:: GEOSGeometry(geo_input, srid=None)
:param geo_input: Geometry input value (string or buffer)
:param srid: spatial reference identifier
:type srid: int
This is the base class for all GEOS geometry objects. It initializes on the
given ``geo_input`` argument, and then assumes the proper geometry subclass
(e.g., ``GEOSGeometry('POINT(1 1)')`` will create a :class:`Point` object).
The ``srid`` parameter, if given, is set as the SRID of the created geometry if
``geo_input`` doesn't have an SRID. If different SRIDs are provided through the
``geo_input`` and ``srid`` parameters, ``ValueError`` is raised::
>>> from django.contrib.gis.geos import GEOSGeometry
>>> GEOSGeometry('POINT EMPTY', srid=4326).ewkt
'SRID=4326;POINT EMPTY'
>>> GEOSGeometry('SRID=4326;POINT EMPTY', srid=4326).ewkt
'SRID=4326;POINT EMPTY'
>>> GEOSGeometry('SRID=1;POINT EMPTY', srid=4326)
Traceback (most recent call last):
...
ValueError: Input geometry already has SRID: 1.
The following input formats, along with their corresponding Python types,
are accepted:
======================= ==========
Format Input Type
======================= ==========
WKT / EWKT ``str``
HEX / HEXEWKB ``str``
WKB / EWKB ``buffer``
GeoJSON_ ``str``
======================= ==========
For the GeoJSON format, the SRID is set based on the ``crs`` member. If ``crs``
isn't provided, the SRID defaults to 4326.
.. _GeoJSON: https://tools.ietf.org/html/rfc7946
.. classmethod:: GEOSGeometry.from_gml(gml_string)
Constructs a :class:`GEOSGeometry` from the given GML string.
Properties
~~~~~~~~~~
.. attribute:: GEOSGeometry.coords
Returns the coordinates of the geometry as a tuple.
.. attribute:: GEOSGeometry.dims
Returns the dimension of the geometry:
* ``0`` for :class:`Point`\s and :class:`MultiPoint`\s
* ``1`` for :class:`LineString`\s and :class:`MultiLineString`\s
* ``2`` for :class:`Polygon`\s and :class:`MultiPolygon`\s
* ``-1`` for empty :class:`GeometryCollection`\s
* the maximum dimension of its elements for non-empty
:class:`GeometryCollection`\s
.. attribute:: GEOSGeometry.empty
Returns whether or not the set of points in the geometry is empty.
.. attribute:: GEOSGeometry.geom_type
Returns a string corresponding to the type of geometry. For example::
>>> pnt = GEOSGeometry('POINT(5 23)')
>>> pnt.geom_type
'Point'
.. attribute:: GEOSGeometry.geom_typeid
Returns the GEOS geometry type identification number. The following table
shows the value for each geometry type:
=========================== ========
Geometry ID
=========================== ========
:class:`Point` 0
:class:`LineString` 1
:class:`LinearRing` 2
:class:`Polygon` 3
:class:`MultiPoint` 4
:class:`MultiLineString` 5
:class:`MultiPolygon` 6
:class:`GeometryCollection` 7
=========================== ========
.. attribute:: GEOSGeometry.num_coords
Returns the number of coordinates in the geometry.
.. attribute:: GEOSGeometry.num_geom
Returns the number of geometries in this geometry. In other words, will
return 1 on anything but geometry collections.
.. attribute:: GEOSGeometry.hasz
Returns a boolean indicating whether the geometry is three-dimensional.
.. attribute:: GEOSGeometry.ring
Returns a boolean indicating whether the geometry is a ``LinearRing``.
.. attribute:: GEOSGeometry.simple
Returns a boolean indicating whether the geometry is 'simple'. A geometry
is simple if and only if it does not intersect itself (except at boundary
points). For example, a :class:`LineString` object is not simple if it
intersects itself. Thus, :class:`LinearRing` and :class:`Polygon` objects
are always simple because they do cannot intersect themselves, by
definition.
.. attribute:: GEOSGeometry.valid
Returns a boolean indicating whether the geometry is valid.
.. attribute:: GEOSGeometry.valid_reason
Returns a string describing the reason why a geometry is invalid.
.. attribute:: GEOSGeometry.srid
Property that may be used to retrieve or set the SRID associated with the
geometry. For example::
>>> pnt = Point(5, 23)
>>> print(pnt.srid)
None
>>> pnt.srid = 4326
>>> pnt.srid
4326
Output Properties
~~~~~~~~~~~~~~~~~
The properties in this section export the :class:`GEOSGeometry` object into
a different. This output may be in the form of a string, buffer, or even
another object.
.. attribute:: GEOSGeometry.ewkt
Returns the "extended" Well-Known Text of the geometry. This representation
is specific to PostGIS and is a superset of the OGC WKT standard. [#fnogc]_
Essentially the SRID is prepended to the WKT representation, for example
``SRID=4326;POINT(5 23)``.
.. note::
The output from this property does not include the 3dm, 3dz, and 4d
information that PostGIS supports in its EWKT representations.
.. attribute:: GEOSGeometry.hex
Returns the WKB of this Geometry in hexadecimal form. Please note
that the SRID value is not included in this representation
because it is not a part of the OGC specification (use the
:attr:`GEOSGeometry.hexewkb` property instead).
.. attribute:: GEOSGeometry.hexewkb
Returns the EWKB of this Geometry in hexadecimal form. This is an
extension of the WKB specification that includes the SRID value
that are a part of this geometry.
.. attribute:: GEOSGeometry.json
Returns the GeoJSON representation of the geometry. Note that the result is
not a complete GeoJSON structure but only the ``geometry`` key content of a
GeoJSON structure. See also :doc:`/ref/contrib/gis/serializers`.
.. attribute:: GEOSGeometry.geojson
Alias for :attr:`GEOSGeometry.json`.
.. attribute:: GEOSGeometry.kml
Returns a `KML`__ (Keyhole Markup Language) representation of the
geometry. This should only be used for geometries with an SRID of
4326 (WGS84), but this restriction is not enforced.
.. attribute:: GEOSGeometry.ogr
Returns an :class:`~django.contrib.gis.gdal.OGRGeometry` object
corresponding to the GEOS geometry.
.. _wkb:
.. attribute:: GEOSGeometry.wkb
Returns the WKB (Well-Known Binary) representation of this Geometry
as a Python buffer. SRID value is not included, use the
:attr:`GEOSGeometry.ewkb` property instead.
.. _ewkb:
.. attribute:: GEOSGeometry.ewkb
Return the EWKB representation of this Geometry as a Python buffer.
This is an extension of the WKB specification that includes any SRID
value that are a part of this geometry.
.. attribute:: GEOSGeometry.wkt
Returns the Well-Known Text of the geometry (an OGC standard).
__ https://developers.google.com/kml/documentation/
Spatial Predicate Methods
~~~~~~~~~~~~~~~~~~~~~~~~~
All of the following spatial predicate methods take another
:class:`GEOSGeometry` instance (``other``) as a parameter, and
return a boolean.
.. method:: GEOSGeometry.contains(other)
Returns ``True`` if :meth:`other.within(this) <GEOSGeometry.within>` returns
``True``.
.. method:: GEOSGeometry.covers(other)
Returns ``True`` if this geometry covers the specified geometry.
The ``covers`` predicate has the following equivalent definitions:
* Every point of the other geometry is a point of this geometry.
* The DE-9IM Intersection Matrix for the two geometries is
``T*****FF*``, ``*T****FF*``, ``***T**FF*``, or ``****T*FF*``.
If either geometry is empty, returns ``False``.
This predicate is similar to :meth:`GEOSGeometry.contains`, but is more
inclusive (i.e. returns ``True`` for more cases). In particular, unlike
:meth:`~GEOSGeometry.contains` it does not distinguish between points in the
boundary and in the interior of geometries. For most situations,
``covers()`` should be preferred to :meth:`~GEOSGeometry.contains`. As an
added benefit, ``covers()`` is more amenable to optimization and hence
should outperform :meth:`~GEOSGeometry.contains`.
.. method:: GEOSGeometry.crosses(other)
Returns ``True`` if the DE-9IM intersection matrix for the two Geometries
is ``T*T******`` (for a point and a curve,a point and an area or a line
and an area) ``0********`` (for two curves).
.. method:: GEOSGeometry.disjoint(other)
Returns ``True`` if the DE-9IM intersection matrix for the two geometries
is ``FF*FF****``.
.. method:: GEOSGeometry.equals(other)
Returns ``True`` if the DE-9IM intersection matrix for the two geometries
is ``T*F**FFF*``.
.. method:: GEOSGeometry.equals_exact(other, tolerance=0)
Returns true if the two geometries are exactly equal, up to a
specified tolerance. The ``tolerance`` value should be a floating
point number representing the error tolerance in the comparison, e.g.,
``poly1.equals_exact(poly2, 0.001)`` will compare equality to within
one thousandth of a unit.
.. method:: GEOSGeometry.intersects(other)
Returns ``True`` if :meth:`GEOSGeometry.disjoint` is ``False``.
.. method:: GEOSGeometry.overlaps(other)
Returns true if the DE-9IM intersection matrix for the two geometries
is ``T*T***T**`` (for two points or two surfaces) ``1*T***T**``
(for two curves).
.. method:: GEOSGeometry.relate_pattern(other, pattern)
Returns ``True`` if the elements in the DE-9IM intersection matrix
for this geometry and the other matches the given ``pattern`` --
a string of nine characters from the alphabet: {``T``, ``F``, ``*``, ``0``}.
.. method:: GEOSGeometry.touches(other)
Returns ``True`` if the DE-9IM intersection matrix for the two geometries
is ``FT*******``, ``F**T*****`` or ``F***T****``.
.. method:: GEOSGeometry.within(other)
Returns ``True`` if the DE-9IM intersection matrix for the two geometries
is ``T*F**F***``.
Topological Methods
~~~~~~~~~~~~~~~~~~~
.. method:: GEOSGeometry.buffer(width, quadsegs=8)
Returns a :class:`GEOSGeometry` that represents all points whose distance
from this geometry is less than or equal to the given ``width``. The
optional ``quadsegs`` keyword sets the number of segments used to
approximate a quarter circle (defaults is 8).
.. method:: GEOSGeometry.buffer_with_style(width, quadsegs=8, end_cap_style=1, join_style=1, mitre_limit=5.0)
Same as :meth:`buffer`, but allows customizing the style of the buffer.
* ``end_cap_style`` can be round (``1``), flat (``2``), or square (``3``).
* ``join_style`` can be round (``1``), mitre (``2``), or bevel (``3``).
* Mitre ratio limit (``mitre_limit``) only affects mitered join style.
.. method:: GEOSGeometry.difference(other)
Returns a :class:`GEOSGeometry` representing the points making up this
geometry that do not make up other.
.. method:: GEOSGeometry.interpolate(distance)
.. method:: GEOSGeometry.interpolate_normalized(distance)
Given a distance (float), returns the point (or closest point) within the
geometry (:class:`LineString` or :class:`MultiLineString`) at that distance.
The normalized version takes the distance as a float between 0 (origin) and
1 (endpoint).
Reverse of :meth:`GEOSGeometry.project`.
.. method:: GEOSGeometry.intersection(other)
Returns a :class:`GEOSGeometry` representing the points shared by this
geometry and other.
.. method:: GEOSGeometry.project(point)
.. method:: GEOSGeometry.project_normalized(point)
Returns the distance (float) from the origin of the geometry
(:class:`LineString` or :class:`MultiLineString`) to the point projected on
the geometry (that is to a point of the line the closest to the given
point). The normalized version returns the distance as a float between 0
(origin) and 1 (endpoint).
Reverse of :meth:`GEOSGeometry.interpolate`.
.. method:: GEOSGeometry.relate(other)
Returns the DE-9IM intersection matrix (a string) representing the
topological relationship between this geometry and the other.
.. method:: GEOSGeometry.simplify(tolerance=0.0, preserve_topology=False)
Returns a new :class:`GEOSGeometry`, simplified to the specified tolerance
using the Douglas-Peucker algorithm. A higher tolerance value implies
fewer points in the output. If no tolerance is provided, it defaults to 0.
By default, this function does not preserve topology. For example,
:class:`Polygon` objects can be split, be collapsed into lines, or
disappear. :class:`Polygon` holes can be created or disappear, and lines may
cross. By specifying ``preserve_topology=True``, the result will have the
same dimension and number of components as the input; this is significantly
slower, however.
.. method:: GEOSGeometry.sym_difference(other)
Returns a :class:`GEOSGeometry` combining the points in this geometry
not in other, and the points in other not in this geometry.
.. method:: GEOSGeometry.union(other)
Returns a :class:`GEOSGeometry` representing all the points in this
geometry and the other.
Topological Properties
~~~~~~~~~~~~~~~~~~~~~~
.. attribute:: GEOSGeometry.boundary
Returns the boundary as a newly allocated Geometry object.
.. attribute:: GEOSGeometry.centroid
Returns a :class:`Point` object representing the geometric center of
the geometry. The point is not guaranteed to be on the interior
of the geometry.
.. attribute:: GEOSGeometry.convex_hull
Returns the smallest :class:`Polygon` that contains all the points in
the geometry.
.. attribute:: GEOSGeometry.envelope
Returns a :class:`Polygon` that represents the bounding envelope of
this geometry. Note that it can also return a :class:`Point` if the input
geometry is a point.
.. attribute:: GEOSGeometry.point_on_surface
Computes and returns a :class:`Point` guaranteed to be on the interior
of this geometry.
.. attribute:: GEOSGeometry.unary_union
Computes the union of all the elements of this geometry.
The result obeys the following contract:
* Unioning a set of :class:`LineString`\s has the effect of fully noding and
dissolving the linework.
* Unioning a set of :class:`Polygon`\s will always return a :class:`Polygon`
or :class:`MultiPolygon` geometry (unlike :meth:`GEOSGeometry.union`,
which may return geometries of lower dimension if a topology collapse
occurs).
Other Properties & Methods
~~~~~~~~~~~~~~~~~~~~~~~~~~
.. attribute:: GEOSGeometry.area
This property returns the area of the Geometry.
.. attribute:: GEOSGeometry.extent
This property returns the extent of this geometry as a 4-tuple,
consisting of ``(xmin, ymin, xmax, ymax)``.
.. method:: GEOSGeometry.clone()
This method returns a :class:`GEOSGeometry` that is a clone of the original.
.. method:: GEOSGeometry.distance(geom)
Returns the distance between the closest points on this geometry and the
given ``geom`` (another :class:`GEOSGeometry` object).
.. note::
GEOS distance calculations are linear -- in other words, GEOS does not
perform a spherical calculation even if the SRID specifies a geographic
coordinate system.
.. attribute:: GEOSGeometry.length
Returns the length of this geometry (e.g., 0 for a :class:`Point`,
the length of a :class:`LineString`, or the circumference of
a :class:`Polygon`).
.. attribute:: GEOSGeometry.prepared
Returns a GEOS ``PreparedGeometry`` for the contents of this geometry.
``PreparedGeometry`` objects are optimized for the contains, intersects,
covers, crosses, disjoint, overlaps, touches and within operations. Refer to
the :ref:`prepared-geometries` documentation for more information.
.. attribute:: GEOSGeometry.srs
Returns a :class:`~django.contrib.gis.gdal.SpatialReference` object
corresponding to the SRID of the geometry or ``None``.
.. method:: GEOSGeometry.transform(ct, clone=False)
Transforms the geometry according to the given coordinate transformation
parameter (``ct``), which may be an integer SRID, spatial reference WKT
string, a PROJ.4 string, a
:class:`~django.contrib.gis.gdal.SpatialReference` object, or a
:class:`~django.contrib.gis.gdal.CoordTransform` object. By default, the
geometry is transformed in-place and nothing is returned. However if the
``clone`` keyword is set, then the geometry is not modified and a
transformed clone of the geometry is returned instead.
.. note::
Raises :class:`~django.contrib.gis.geos.GEOSException` if GDAL is not
available or if the geometry's SRID is ``None`` or less than 0. It
doesn't impose any constraints on the geometry's SRID if called with a
:class:`~django.contrib.gis.gdal.CoordTransform` object.
.. method:: GEOSGeometry.normalize()
Converts this geometry to canonical form::
>>> g = MultiPoint(Point(0, 0), Point(2, 2), Point(1, 1))
>>> print(g)
MULTIPOINT (0 0, 2 2, 1 1)
>>> g.normalize()
>>> print(g)
MULTIPOINT (2 2, 1 1, 0 0)
``Point``
---------
.. class:: Point(x=None, y=None, z=None, srid=None)
``Point`` objects are instantiated using arguments that represent the
component coordinates of the point or with a single sequence coordinates.
For example, the following are equivalent::
>>> pnt = Point(5, 23)
>>> pnt = Point([5, 23])
Empty ``Point`` objects may be instantiated by passing no arguments or an
empty sequence. The following are equivalent::
>>> pnt = Point()
>>> pnt = Point([])
``LineString``
--------------
.. class:: LineString(*args, **kwargs)
``LineString`` objects are instantiated using arguments that are either a
sequence of coordinates or :class:`Point` objects. For example, the
following are equivalent::
>>> ls = LineString((0, 0), (1, 1))
>>> ls = LineString(Point(0, 0), Point(1, 1))
In addition, ``LineString`` objects may also be created by passing in a
single sequence of coordinate or :class:`Point` objects::
>>> ls = LineString( ((0, 0), (1, 1)) )
>>> ls = LineString( [Point(0, 0), Point(1, 1)] )
Empty ``LineString`` objects may be instantiated by passing no arguments
or an empty sequence. The following are equivalent::
>>> ls = LineString()
>>> ls = LineString([])
.. attribute:: closed
Returns whether or not this ``LineString`` is closed.
``LinearRing``
--------------
.. class:: LinearRing(*args, **kwargs)
``LinearRing`` objects are constructed in the exact same way as
:class:`LineString` objects, however the coordinates must be *closed*, in
other words, the first coordinates must be the same as the last
coordinates. For example::
>>> ls = LinearRing((0, 0), (0, 1), (1, 1), (0, 0))
Notice that ``(0, 0)`` is the first and last coordinate -- if they were not
equal, an error would be raised.
``Polygon``
-----------
.. class:: Polygon(*args, **kwargs)
``Polygon`` objects may be instantiated by passing in parameters that
represent the rings of the polygon. The parameters must either be
:class:`LinearRing` instances, or a sequence that may be used to construct a
:class:`LinearRing`::
>>> ext_coords = ((0, 0), (0, 1), (1, 1), (1, 0), (0, 0))
>>> int_coords = ((0.4, 0.4), (0.4, 0.6), (0.6, 0.6), (0.6, 0.4), (0.4, 0.4))
>>> poly = Polygon(ext_coords, int_coords)
>>> poly = Polygon(LinearRing(ext_coords), LinearRing(int_coords))
.. classmethod:: from_bbox(bbox)
Returns a polygon object from the given bounding-box, a 4-tuple
comprising ``(xmin, ymin, xmax, ymax)``.
.. attribute:: num_interior_rings
Returns the number of interior rings in this geometry.
.. admonition:: Comparing Polygons
Note that it is possible to compare ``Polygon`` objects directly with ``<``
or ``>``, but as the comparison is made through Polygon's
:class:`LineString`, it does not mean much (but is consistent and quick).
You can always force the comparison with the :attr:`~GEOSGeometry.area`
property::
>>> if poly_1.area > poly_2.area:
>>> pass
Geometry Collections
====================
``MultiPoint``
--------------
.. class:: MultiPoint(*args, **kwargs)
``MultiPoint`` objects may be instantiated by passing in :class:`Point`
objects as arguments, or a single sequence of :class:`Point` objects::
>>> mp = MultiPoint(Point(0, 0), Point(1, 1))
>>> mp = MultiPoint( (Point(0, 0), Point(1, 1)) )
``MultiLineString``
-------------------
.. class:: MultiLineString(*args, **kwargs)
``MultiLineString`` objects may be instantiated by passing in
:class:`LineString` objects as arguments, or a single sequence of
:class:`LineString` objects::
>>> ls1 = LineString((0, 0), (1, 1))
>>> ls2 = LineString((2, 2), (3, 3))
>>> mls = MultiLineString(ls1, ls2)
>>> mls = MultiLineString([ls1, ls2])
.. attribute:: merged
Returns a :class:`LineString` representing the line merge of
all the components in this ``MultiLineString``.
.. attribute:: closed
Returns ``True`` if and only if all elements are closed. Requires GEOS 3.5.
``MultiPolygon``
----------------
.. class:: MultiPolygon(*args, **kwargs)
``MultiPolygon`` objects may be instantiated by passing :class:`Polygon`
objects as arguments, or a single sequence of :class:`Polygon` objects::
>>> p1 = Polygon( ((0, 0), (0, 1), (1, 1), (0, 0)) )
>>> p2 = Polygon( ((1, 1), (1, 2), (2, 2), (1, 1)) )
>>> mp = MultiPolygon(p1, p2)
>>> mp = MultiPolygon([p1, p2])
``GeometryCollection``
----------------------
.. class:: GeometryCollection(*args, **kwargs)
``GeometryCollection`` objects may be instantiated by passing in other
:class:`GEOSGeometry` as arguments, or a single sequence of
:class:`GEOSGeometry` objects::
>>> poly = Polygon( ((0, 0), (0, 1), (1, 1), (0, 0)) )
>>> gc = GeometryCollection(Point(0, 0), MultiPoint(Point(0, 0), Point(1, 1)), poly)
>>> gc = GeometryCollection((Point(0, 0), MultiPoint(Point(0, 0), Point(1, 1)), poly))
.. _prepared-geometries:
Prepared Geometries
===================
In order to obtain a prepared geometry, access the
:attr:`GEOSGeometry.prepared` property. Once you have a
``PreparedGeometry`` instance its spatial predicate methods, listed below,
may be used with other ``GEOSGeometry`` objects. An operation with a prepared
geometry can be orders of magnitude faster -- the more complex the geometry
that is prepared, the larger the speedup in the operation. For more information,
please consult the `GEOS wiki page on prepared geometries <https://trac.osgeo.org/geos/wiki/PreparedGeometry>`_.
For example::
>>> from django.contrib.gis.geos import Point, Polygon
>>> poly = Polygon.from_bbox((0, 0, 5, 5))
>>> prep_poly = poly.prepared
>>> prep_poly.contains(Point(2.5, 2.5))
True
``PreparedGeometry``
--------------------
.. class:: PreparedGeometry
All methods on ``PreparedGeometry`` take an ``other`` argument, which
must be a :class:`GEOSGeometry` instance.
.. method:: contains(other)
.. method:: contains_properly(other)
.. method:: covers(other)
.. method:: crosses(other)
.. method:: disjoint(other)
.. method:: intersects(other)
.. method:: overlaps(other)
.. method:: touches(other)
.. method:: within(other)
Geometry Factories
==================
.. function:: fromfile(file_h)
:param file_h: input file that contains spatial data
:type file_h: a Python ``file`` object or a string path to the file
:rtype: a :class:`GEOSGeometry` corresponding to the spatial data in the file
Example::
>>> from django.contrib.gis.geos import fromfile
>>> g = fromfile('/home/bob/geom.wkt')
.. function:: fromstr(string, srid=None)
:param string: string that contains spatial data
:type string: str
:param srid: spatial reference identifier
:type srid: int
:rtype: a :class:`GEOSGeometry` corresponding to the spatial data in the string
``fromstr(string, srid)`` is equivalent to
:class:`GEOSGeometry(string, srid) <GEOSGeometry>`.
Example::
>>> from django.contrib.gis.geos import fromstr
>>> pnt = fromstr('POINT(-90.5 29.5)', srid=4326)
I/O Objects
===========
Reader Objects
--------------
The reader I/O classes return a :class:`GEOSGeometry` instance from the WKB
and/or WKT input given to their ``read(geom)`` method.
.. class:: WKBReader
Example::
>>> from django.contrib.gis.geos import WKBReader
>>> wkb_r = WKBReader()
>>> wkb_r.read('0101000000000000000000F03F000000000000F03F')
<Point object at 0x103a88910>
.. class:: WKTReader
Example::
>>> from django.contrib.gis.geos import WKTReader
>>> wkt_r = WKTReader()
>>> wkt_r.read('POINT(1 1)')
<Point object at 0x103a88b50>
Writer Objects
--------------
All writer objects have a ``write(geom)`` method that returns either the
WKB or WKT of the given geometry. In addition, :class:`WKBWriter` objects
also have properties that may be used to change the byte order, and or
include the SRID value (in other words, EWKB).
.. class:: WKBWriter(dim=2)
``WKBWriter`` provides the most control over its output. By default it
returns OGC-compliant WKB when its ``write`` method is called. However,
it has properties that allow for the creation of EWKB, a superset of the
WKB standard that includes additional information. See the
:attr:`WKBWriter.outdim` documentation for more details about the ``dim``
argument.
.. method:: WKBWriter.write(geom)
Returns the WKB of the given geometry as a Python ``buffer`` object.
Example::
>>> from django.contrib.gis.geos import Point, WKBWriter
>>> pnt = Point(1, 1)
>>> wkb_w = WKBWriter()
>>> wkb_w.write(pnt)
<read-only buffer for 0x103a898f0, size -1, offset 0 at 0x103a89930>
.. method:: WKBWriter.write_hex(geom)
Returns WKB of the geometry in hexadecimal. Example::
>>> from django.contrib.gis.geos import Point, WKBWriter
>>> pnt = Point(1, 1)
>>> wkb_w = WKBWriter()
>>> wkb_w.write_hex(pnt)
'0101000000000000000000F03F000000000000F03F'
.. attribute:: WKBWriter.byteorder
This property may be set to change the byte-order of the geometry
representation.
=============== =================================================
Byteorder Value Description
=============== =================================================
0 Big Endian (e.g., compatible with RISC systems)
1 Little Endian (e.g., compatible with x86 systems)
=============== =================================================
Example::
>>> from django.contrib.gis.geos import Point, WKBWriter
>>> wkb_w = WKBWriter()
>>> pnt = Point(1, 1)
>>> wkb_w.write_hex(pnt)
'0101000000000000000000F03F000000000000F03F'
>>> wkb_w.byteorder = 0
'00000000013FF00000000000003FF0000000000000'
.. attribute:: WKBWriter.outdim
This property may be set to change the output dimension of the geometry
representation. In other words, if you have a 3D geometry then set to 3
so that the Z value is included in the WKB.
============ ===========================
Outdim Value Description
============ ===========================
2 The default, output 2D WKB.
3 Output 3D WKB.
============ ===========================
Example::
>>> from django.contrib.gis.geos import Point, WKBWriter
>>> wkb_w = WKBWriter()
>>> wkb_w.outdim
2
>>> pnt = Point(1, 1, 1)
>>> wkb_w.write_hex(pnt) # By default, no Z value included:
'0101000000000000000000F03F000000000000F03F'
>>> wkb_w.outdim = 3 # Tell writer to include Z values
>>> wkb_w.write_hex(pnt)
'0101000080000000000000F03F000000000000F03F000000000000F03F'
.. attribute:: WKBWriter.srid
Set this property with a boolean to indicate whether the SRID of the
geometry should be included with the WKB representation. Example::
>>> from django.contrib.gis.geos import Point, WKBWriter
>>> wkb_w = WKBWriter()
>>> pnt = Point(1, 1, srid=4326)
>>> wkb_w.write_hex(pnt) # By default, no SRID included:
'0101000000000000000000F03F000000000000F03F'
>>> wkb_w.srid = True # Tell writer to include SRID
>>> wkb_w.write_hex(pnt)
'0101000020E6100000000000000000F03F000000000000F03F'
.. class:: WKTWriter(dim=2, trim=False, precision=None)
This class allows outputting the WKT representation of a geometry. See the
:attr:`WKBWriter.outdim`, :attr:`trim`, and :attr:`precision` attributes for
details about the constructor arguments.
.. method:: WKTWriter.write(geom)
Returns the WKT of the given geometry. Example::
>>> from django.contrib.gis.geos import Point, WKTWriter
>>> pnt = Point(1, 1)
>>> wkt_w = WKTWriter()
>>> wkt_w.write(pnt)
'POINT (1.0000000000000000 1.0000000000000000)'
.. attribute:: WKTWriter.outdim
See :attr:`WKBWriter.outdim`.
.. attribute:: WKTWriter.trim
This property is used to enable or disable trimming of
unnecessary decimals.
>>> from django.contrib.gis.geos import Point, WKTWriter
>>> pnt = Point(1, 1)
>>> wkt_w = WKTWriter()
>>> wkt_w.trim
False
>>> wkt_w.write(pnt)
'POINT (1.0000000000000000 1.0000000000000000)'
>>> wkt_w.trim = True
>>> wkt_w.write(pnt)
'POINT (1 1)'
.. attribute:: WKTWriter.precision
This property controls the rounding precision of coordinates;
if set to ``None`` rounding is disabled.
>>> from django.contrib.gis.geos import Point, WKTWriter
>>> pnt = Point(1.44, 1.66)
>>> wkt_w = WKTWriter()
>>> print(wkt_w.precision)
None
>>> wkt_w.write(pnt)
'POINT (1.4399999999999999 1.6599999999999999)'
>>> wkt_w.precision = 0
>>> wkt_w.write(pnt)
'POINT (1 2)'
>>> wkt_w.precision = 1
>>> wkt_w.write(pnt)
'POINT (1.4 1.7)'
.. rubric:: Footnotes
.. [#fnogc] *See* `PostGIS EWKB, EWKT and Canonical Forms <https://postgis.net/docs/using_postgis_dbmanagement.html#EWKB_EWKT>`_, PostGIS documentation at Ch. 4.1.2.
Settings
========
.. setting:: GEOS_LIBRARY_PATH
``GEOS_LIBRARY_PATH``
---------------------
A string specifying the location of the GEOS C library. Typically,
this setting is only used if the GEOS C library is in a non-standard
location (e.g., ``/home/bob/lib/libgeos_c.so``).
.. note::
The setting must be the *full* path to the **C** shared library; in
other words you want to use ``libgeos_c.so``, not ``libgeos.so``.
Exceptions
==========
.. exception:: GEOSException
The base GEOS exception, indicates a GEOS-related error.