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# Copyright (C) 2003, 2004, 2005 by Intevation GmbH |
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# Authors: |
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# Martin Mueller <[email protected]> |
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# Bernhard Herzog <[email protected]> |
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# |
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# This program is free software under the GPL (>=v2) |
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# Read the file COPYING coming with the software for details. |
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|
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"""Basic interface to a PostGIS database""" |
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|
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from __future__ import generators |
12 |
|
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try: |
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import psycopg |
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except ImportError: |
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psycopg = None |
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|
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import table |
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import wellknowntext |
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|
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from data import SHAPETYPE_POLYGON, SHAPETYPE_ARC, SHAPETYPE_POINT, RAW_WKT |
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|
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def has_postgis_support(): |
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"""Return whether this Thuban instance supports PostGIS connections |
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|
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Having PostGIS support means that the psycopg module can be |
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imported. |
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""" |
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return psycopg is not None |
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|
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def psycopg_version(): |
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return psycopg.__version__ |
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|
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if psycopg is not None: |
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# type_map maps psycopg type objects. It's a list of pairs since |
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# the psycopg type objects are unhashable. |
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type_map = [(psycopg.STRING, table.FIELDTYPE_STRING), |
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(psycopg.INTEGER, table.FIELDTYPE_INT), |
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(psycopg.ROWID, table.FIELDTYPE_INT), |
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(psycopg.FLOAT, table.FIELDTYPE_DOUBLE)] |
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|
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# _raw_type_map maps the postgresql type constants to Thuban type |
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# constants. This is very low level and postgresql specific and |
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# should be used only when necessary. |
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_raw_type_map = {} |
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def _fill_raw_type_map(): |
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for psycopg_type, thuban_type in type_map: |
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for value in psycopg_type.values: |
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_raw_type_map[value] = thuban_type |
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_fill_raw_type_map() |
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|
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|
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def quote_identifier(ident): |
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"""Return a quoted version of the identifier ident. |
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|
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The return value is a string that can be put directly into an SQL |
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statement. The quoted identifier is surrounded by double quotes and |
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any double quotes already in the input value are converted to two |
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double quotes. Examples: |
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|
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>>> quote_identifier("abc\"def") |
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'"abc""def"' |
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>>> quote_identifier("abc def") |
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'"abc def"' |
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""" |
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return '"' + '""'.join(ident.split('"')) + '"' |
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|
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|
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class ConnectionError(Exception): |
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|
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"""Class for exceptions occurring when establishing a Databse connection""" |
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|
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|
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class PostGISConnection: |
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|
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"""Represent a PostGIS database |
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|
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A PostGISConnection instance has the following public attributes: |
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|
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dbname -- The name of the database |
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host, port -- Host and port to connect to |
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user -- The user name to connect as. |
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|
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All of these attributes are strings and may be empty strings to |
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indicate default values. |
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""" |
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|
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def __init__(self, dbname, host="", user="", password="", dbtype="", |
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port=""): |
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self.dbname = dbname |
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self.host = host |
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self.port = port |
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self.user = user |
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self.password = password |
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self.dbtype = dbtype |
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self.connect() |
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|
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def connect(self): |
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"""Internal: Establish the database connection""" |
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params = [] |
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for name in ("host", "port", "dbname", "user", "password"): |
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val = getattr(self, name) |
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if val: |
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params.append("%s=%s" % (name, val)) |
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try: |
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self.connection = psycopg.connect(" ".join(params)) |
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except psycopg.OperationalError, val: |
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raise ConnectionError(str(val)) |
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|
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# Use autocommit mode. For simple reading of the database it's |
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# sufficient and we don't have to care much about error |
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# handling. Without autocommit, an errors during a cursor's |
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# execute method requires a rollback on the connection, |
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# otherwise later queries with the same or other cursors sharing |
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# the same connection will lead to further errors ("ERROR: |
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# current transaction is aborted, commands ignored until end of |
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# transaction block") |
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self.connection.autocommit() |
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|
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# determine the OID for the geometry type. This is PostGIS |
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# specific. |
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cursor = self.connection.cursor() |
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cursor.execute("SELECT OID, typname FROM pg_type WHERE" |
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+" typname = 'geometry'") |
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row = cursor.fetchone() |
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self.connection.commit() |
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if row is not None: |
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self.geometry_type = row[0] |
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else: |
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raise ValueError("Can't determine postgres type of geometries") |
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|
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def BriefDescription(self): |
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"""Return a brief, one-line description of the connection |
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|
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The return value is suitable for a list box of all database |
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connections. |
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""" |
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return ("postgis://%(user)s@%(host)s:%(port)s/%(dbname)s" |
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% self.__dict__) |
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|
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def MatchesParameters(self, parameters): |
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"""Return whether the connection matches the dictionary of parameters |
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|
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Return whether instatiating the connection with the given |
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parameters would establish essentially the same connection as |
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self. The connection is essentially the same if the same |
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database (identified by host, port and databasename) is accessed |
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as the same user. |
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""" |
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return (parameters["host"] == self.host |
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and parameters["port"] == self.port |
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and parameters["dbname"] == self.dbname |
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and parameters["user"] == self.user) |
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|
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def Close(self): |
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"""Close the database connection""" |
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self.connection.close() |
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|
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def GeometryTables(self): |
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"""Return a list with the names of all tables with a geometry column""" |
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|
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# The query is basically taken from the psql v. 7.2.1. When |
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# started with -E it prints the queries used for internal |
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# commands such as \d, which does mostly what we need here. |
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cursor = self.connection.cursor() |
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cursor.execute("SELECT c.relname FROM pg_class c" |
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" WHERE c.relkind IN ('r', 'v')" |
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# Omit the system tables |
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" AND c.relname !~ '^pg_'" |
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# Omit the special PostGIS tables |
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" AND c.relname NOT IN ('geometry_columns'," |
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" 'spatial_ref_sys')" |
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" AND %d in (SELECT a.atttypid FROM pg_attribute a" |
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" WHERE a.attrelid = c.oid)" |
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" ORDER BY c.relname;", (self.geometry_type,)) |
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result = [row[0] for row in cursor.fetchall()] |
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self.connection.commit() |
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return result |
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|
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def table_columns(self, tablename): |
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"""Experimental: return information about the columns of a table |
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|
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Return value is a list of (name, type) pairs where name is the |
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name of the column and type either one of the field type columns |
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or the string 'geometry' indicating a geometry column. |
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|
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The intended use of this method is for table selection dialogs |
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which need to determine which columns are usable as id or |
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geometry columns respectively. Suitable id columns will have |
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type FIELDTYPE_INT and geometry columns will have 'geometry'. |
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""" |
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result = [] |
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cursor = self.connection.cursor() |
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|
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# This query is taken basically from the \d command of psql |
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# 7.2.1 |
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cursor.execute("SELECT a.attname, a.atttypid, a.attnum" |
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" FROM pg_class c, pg_attribute a" |
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" WHERE c.relname = %s AND a.attrelid = c.oid" |
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" ORDER BY a.attnum;", (tablename,)) |
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|
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for row in cursor.fetchall(): |
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col_name, col_type, col_attnum = row |
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col = None |
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if col_attnum < 1: |
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# It's a system column. Only the OID is interesting |
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# here |
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if col_name == "oid": |
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col = (col_name, _raw_type_map[col_type]) |
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else: |
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# If it's an integer |
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thuban_type = _raw_type_map.get(col_type) |
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if thuban_type is not None: |
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col = (col_name, thuban_type) |
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elif row[1] == self.geometry_type: |
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col = (col_name, "geometry") |
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if col is not None: |
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result.append(col) |
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|
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return result |
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|
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def cursor(self): |
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"""Return a DB API 2.0 cursor for the database""" |
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return self.connection.cursor() |
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|
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|
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|
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class PostGISColumn: |
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|
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"""Column description for a PostGISTable |
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|
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In addition to the normal column object attributes name, type and |
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index, PostGISColumn objects have a quoted_name attribute which |
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contains a quoted version of name for use in SQL statements. The |
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quoted_name attribute is mainly intended for internal use by the |
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PostGISTable class. |
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""" |
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|
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def __init__(self, name, type, index): |
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self.name = name |
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self.quoted_name = quote_identifier(name) |
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self.type = type |
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self.index = index |
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|
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|
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class PostGISTable: |
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|
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"""A Table in a PostGIS database |
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|
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A PostgreSQL table may contain columns with types not (yet) |
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supported by Thuban. Instances of this class ignore those columns |
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and pretend they don't exist, i.e. they won't show up in the column |
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descriptions returned by Columns() and other methods. |
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""" |
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|
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def __init__(self, db, tablename, id_column = None): |
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"""Initialize the PostGISTable. |
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|
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The db parameter should be an instance of PostGISConnection and |
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tablename the name of a table in the database represented by db. |
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|
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The id_column parameter should be the name of a column in the |
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table that can be used to identify rows. The column must have |
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the type integer and be unique and not null. |
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|
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For backwards compatibility reasons, the id_column parameter is |
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optional. If not given the table must have a column called |
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'gid' which is used as the id_column. New code should always |
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provide this parameter. |
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""" |
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self.db = db |
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self.tablename = tablename |
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# Tablename quoted for use in SQL statements. |
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self.quoted_tablename = quote_identifier(tablename) |
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|
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if not id_column: |
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id_column = "gid" |
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self.id_column = id_column |
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# id column name quoted for use in SQL statements. |
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self.quoted_id_column = quote_identifier(id_column) |
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|
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# Map column names and indices to column objects. |
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self.column_map = {} |
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|
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self._fetch_table_information() |
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|
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def _fetch_table_information(self): |
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"""Internal: Update information about the table""" |
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self.columns = [] |
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cursor = self.db.cursor() |
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cursor.execute("SELECT * FROM %s WHERE 0=1" % self.quoted_tablename) |
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description = cursor.description |
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|
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for i in range(len(description)): |
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col = self._create_col_from_description(i, description[i]) |
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if col is not None: |
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self.columns.append(col) |
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|
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for col in self.columns: |
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self.column_map[col.name] = col |
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self.column_map[col.index] = col |
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|
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# Build query string for ReadRowAsDict |
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self.query_stmt = ("SELECT %s from %s" |
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% (", ".join([col.quoted_name |
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for col in self.columns]), |
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self.quoted_tablename)) |
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|
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def _create_col_from_description(self, index, description): |
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"""Return the column object for the column described by description |
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|
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The parameter index is the index of the column. The description |
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is a sequence taken from the cursor's description attribute for |
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the column. That means description[0] is the name of the column |
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and description[1] the type. |
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|
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Return None if the column can't be represented for some reason, |
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e.g. because its type is not yet supported or needs to be |
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treated in some special way. Derived classes may extend this |
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method. |
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""" |
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for pgtyp, tabletyp in type_map: |
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if pgtyp == description[1]: |
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return PostGISColumn(description[0], tabletyp, |
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len(self.columns)) |
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return None |
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|
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def DBConnection(self): |
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"""Return the dbconnection used by the table""" |
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return self.db |
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|
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def IDColumn(self): |
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"""Return the column description object for the id column. |
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|
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If the oid column was used as the id column, the return value is |
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not one of the regular column objects that would be returned by |
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e.g. the Column() method, but it still has meaningful name |
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attribute. |
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""" |
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if self.id_column == "oid": |
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return PostGISColumn(self.id_column, table.FIELDTYPE_INT, None) |
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return self.column_map[self.id_column] |
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|
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def TableName(self): |
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"""Return the name of the table in the database""" |
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return self.tablename |
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|
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def Title(self): |
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"""Return the title of the table. |
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|
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The title is currently fixed and equal to the tablename |
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""" |
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return self.tablename |
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|
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def Dependencies(self): |
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"""Return an empty tuple because a PostGISTable depends on nothing else |
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""" |
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return () |
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|
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def NumColumns(self): |
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return len(self.columns) |
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|
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def Columns(self): |
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return self.columns |
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|
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def Column(self, col): |
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return self.column_map[col] |
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|
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def HasColumn(self, col): |
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return self.column_map.has_key(col) |
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|
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def NumRows(self): |
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cursor = self.db.cursor() |
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cursor.execute("SELECT count(*) FROM %s" % self.quoted_tablename) |
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return cursor.fetchone()[0] |
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|
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def RowIdToOrdinal(self, gid): |
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"""Return the row ordinal given its id""" |
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cursor = self.db.cursor() |
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cursor.execute("SELECT count(*) FROM %s WHERE %s < %d;" |
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% (self.quoted_tablename, self.quoted_id_column, gid)) |
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return cursor.fetchone()[0] |
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|
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def RowOrdinalToId(self, num): |
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"""Return the rowid for given its ordinal""" |
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cursor = self.db.cursor() |
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cursor.execute("SELECT %s FROM %s LIMIT 1 OFFSET %d;" |
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% (self.quoted_id_column, self.quoted_tablename, num)) |
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return cursor.fetchone()[0] |
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|
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def ReadRowAsDict(self, row, row_is_ordinal = 0): |
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cursor = self.db.cursor() |
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if row_is_ordinal: |
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stmt = self.query_stmt + " LIMIT 1 OFFSET %d" % row |
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else: |
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stmt = self.query_stmt + " WHERE %s = %d" % (self.quoted_id_column, |
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row) |
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cursor.execute(stmt) |
399 |
result = {} |
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for col, value in zip(self.columns, cursor.fetchone()): |
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result[col.name] = value |
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return result |
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|
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def ReadValue(self, row, col, row_is_ordinal = 0): |
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cursor = self.db.cursor() |
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if row_is_ordinal: |
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stmt = ("SELECT %s FROM %s LIMIT 1 OFFSET %d" % |
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(self.column_map[col].quoted_name, self.quoted_tablename, |
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row)) |
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else: |
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stmt = ("SELECT %s FROM %s WHERE %s = %d" % |
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(self.column_map[col].quoted_name, self.quoted_tablename, |
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self.quoted_id_column, row)) |
414 |
cursor.execute(stmt) |
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return cursor.fetchone()[0] |
416 |
|
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def ValueRange(self, col): |
418 |
cursor = self.db.cursor() |
419 |
name = self.column_map[col].quoted_name |
420 |
cursor.execute("SELECT min(%s), max(%s) FROM %s" % |
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(name, name, self.quoted_tablename)) |
422 |
return tuple(cursor.fetchone()) |
423 |
|
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def UniqueValues(self, col): |
425 |
cursor = self.db.cursor() |
426 |
name = self.column_map[col].quoted_name |
427 |
cursor.execute("SELECT %s FROM %s GROUP BY %s" % |
428 |
(name, self.quoted_tablename, name)) |
429 |
return [row[0] for row in cursor.fetchall()] |
430 |
|
431 |
def SimpleQuery(self, left, comparison, right): |
432 |
if comparison not in ("==", "!=", "<", "<=", ">=", ">"): |
433 |
raise ValueError("Comparison operator %r not allowed" % comparison) |
434 |
|
435 |
if comparison == "==": |
436 |
comparison = "=" |
437 |
|
438 |
if isinstance(right, PostGISColumn): |
439 |
right_template = right.quoted_name |
440 |
params = () |
441 |
else: |
442 |
right_template = "%s" |
443 |
params = (right,) |
444 |
|
445 |
query = "SELECT %s FROM %s WHERE %s %s %s ORDER BY %s;" \ |
446 |
% (self.quoted_id_column, self.quoted_tablename, |
447 |
left.quoted_name, comparison, right_template, |
448 |
self.quoted_id_column) |
449 |
|
450 |
cursor = self.db.cursor() |
451 |
cursor.execute(query, params) |
452 |
result = [] |
453 |
while 1: |
454 |
row = cursor.fetchone() |
455 |
if row is None: |
456 |
break |
457 |
result.append(row[0]) |
458 |
return result |
459 |
|
460 |
|
461 |
class PostGISShape: |
462 |
|
463 |
def __init__(self, shapeid, data): |
464 |
self.shapeid = shapeid |
465 |
self.data = data |
466 |
|
467 |
def compute_bbox(self): |
468 |
""" |
469 |
Return the bounding box of the shape as a tuple (minx,miny,maxx,maxy) |
470 |
""" |
471 |
xs = [] |
472 |
ys = [] |
473 |
for part in self.Points(): |
474 |
for x, y in part: |
475 |
xs.append(x) |
476 |
ys.append(y) |
477 |
return (min(xs), min(ys), max(xs), max(ys)) |
478 |
|
479 |
def ShapeID(self): |
480 |
return self.shapeid |
481 |
|
482 |
def Points(self): |
483 |
return wellknowntext.parse_wkt_thuban(self.data) |
484 |
|
485 |
def RawData(self): |
486 |
return self.data |
487 |
|
488 |
|
489 |
shapetype_map = {"POLYGON": SHAPETYPE_POLYGON, |
490 |
"MULTIPOLYGON": SHAPETYPE_POLYGON, |
491 |
"LINESTRING": SHAPETYPE_ARC, |
492 |
"MULTILINESTRING": SHAPETYPE_ARC, |
493 |
"POINT": SHAPETYPE_POINT} |
494 |
|
495 |
|
496 |
class PostGISShapeStore(PostGISTable): |
497 |
|
498 |
"""Shapestore interface to a table in a PostGIS database""" |
499 |
|
500 |
def __init__(self, db, tablename, id_column = "gid", |
501 |
geometry_column = None): |
502 |
"""Initialize the PostGISShapeStore. |
503 |
|
504 |
The db parameter should be an instance of PostGISConnection and |
505 |
tablename the name of a table in the database represented by db. |
506 |
|
507 |
The id_column parameter should be the name of a column in the |
508 |
table that can be used to identify rows. The column must have |
509 |
the type integer and be unique and not null. |
510 |
|
511 |
The geometry_column paramter, if given, should be the name of |
512 |
the geometry column to use. If the name given is not a geometry |
513 |
column, raise a ValueError. |
514 |
|
515 |
If no geometry_column is given, the table must have exactly one |
516 |
geometry column. If it has more than one and the |
517 |
geometry_column is not given, a ValueError will be raised. |
518 |
""" |
519 |
self.geometry_column = geometry_column |
520 |
self.geometry_column_was_given = geometry_column is not None |
521 |
PostGISTable.__init__(self, db, tablename, id_column) |
522 |
|
523 |
# For convenience, we have a quoted version of the geometry |
524 |
# column in self.quoted_geo_col |
525 |
self.quoted_geo_col = quote_identifier(self.geometry_column) |
526 |
|
527 |
def _fetch_table_information(self): |
528 |
"""Extend inherited method to retrieve the SRID and shape type""" |
529 |
PostGISTable._fetch_table_information(self) |
530 |
|
531 |
# First, try to get it from the geometry_columns table. |
532 |
cursor = self.db.cursor() |
533 |
cursor.execute("SELECT srid, type FROM geometry_columns" |
534 |
" WHERE f_table_name = %s AND f_geometry_column=%s", |
535 |
(self.tablename, self.geometry_column)) |
536 |
row = cursor.fetchone() |
537 |
if row is not None: |
538 |
self.srid = row[0] |
539 |
self.shape_type = shapetype_map.get(row[1]) |
540 |
return |
541 |
|
542 |
# The table is probably really a view and thus not in |
543 |
# geometry_columns. Use a different approach |
544 |
cursor = self.db.cursor() |
545 |
cursor.execute("SELECT DISTINCT SRID(%s) FROM %s;" % |
546 |
(quote_identifier(self.geometry_column), |
547 |
self.tablename)) |
548 |
row = cursor.fetchone() |
549 |
if row is not None: |
550 |
self.srid = row[0] |
551 |
# Try to see whether there's another one |
552 |
row = cursor.fetchone() |
553 |
if row is not None: |
554 |
# There are at least two different srids. We don't |
555 |
# support that |
556 |
self.srid = None |
557 |
|
558 |
cursor = self.db.cursor() |
559 |
cursor.execute("SELECT DISTINCT GeometryType(%s) FROM %s;" |
560 |
% (quote_identifier(self.geometry_column), |
561 |
self.tablename)) |
562 |
row = cursor.fetchone() |
563 |
if row is not None: |
564 |
self.shape_type = shapetype_map.get(row[0]) |
565 |
# Try to see whether there's another one |
566 |
row = cursor.fetchone() |
567 |
if row is not None: |
568 |
# There are at least two different srids. We don't |
569 |
# support that |
570 |
self.shape_type = None |
571 |
|
572 |
def _create_col_from_description(self, index, description): |
573 |
"""Extend the inherited method to find geometry columns |
574 |
|
575 |
If the column indicated by the parameters is a geometry column, |
576 |
record its name in self.geometry_column and a quoted version in |
577 |
self.quoted_geo_col. In any case return the return value of the |
578 |
inherited method. |
579 |
""" |
580 |
col = PostGISTable._create_col_from_description(self, index, |
581 |
description) |
582 |
col_name, col_type = description[:2] |
583 |
if self.geometry_column_was_given: |
584 |
if (col_name == self.geometry_column |
585 |
and col_type != self.db.geometry_type): |
586 |
raise TypeError("Column %s in %s is not a geometry column" |
587 |
% (self.geometry_column, self.tablename)) |
588 |
else: |
589 |
if col is None: |
590 |
if description[1] == self.db.geometry_type: |
591 |
# The column is a geometry column. If the name of |
592 |
# the geometry column was not given to the |
593 |
# constructor, and we encounter two geometry |
594 |
# columns, raise a value error |
595 |
if self.geometry_column is None: |
596 |
self.geometry_column = description[0] |
597 |
else: |
598 |
raise TypeError("Table %s has two geometry columns" |
599 |
" and no column name was given" |
600 |
% (self.tablename,)) |
601 |
return col |
602 |
|
603 |
def Table(self): |
604 |
"""Return self since a PostGISShapeStore is its own table.""" |
605 |
return self |
606 |
|
607 |
def OrigShapeStore(self): |
608 |
"""Return None since the PostGISShapeStore is not derived from another |
609 |
""" |
610 |
return None |
611 |
|
612 |
def GeometryColumn(self): |
613 |
"""Return the column description object for the geometry column |
614 |
|
615 |
There's currently no FIELDTYPE constant for this column, so the |
616 |
return value is not a regular column object that could also be |
617 |
returned from e.g. the Column() method. Only the name attribute |
618 |
of the return value is meaningful at the moment. |
619 |
""" |
620 |
return PostGISColumn(self.geometry_column, None, None) |
621 |
|
622 |
def ShapeType(self): |
623 |
"""Return the type of the shapes in the shapestore.""" |
624 |
return self.shape_type |
625 |
|
626 |
def RawShapeFormat(self): |
627 |
"""Return the raw data format of the shape data. |
628 |
|
629 |
For the PostGISShapeStore this is RAW_WKT. |
630 |
""" |
631 |
return RAW_WKT |
632 |
|
633 |
def NumShapes(self): |
634 |
# The number of shapes is the same as the number of rows, |
635 |
# assuming that the geometry can't be NULL. |
636 |
return self.NumRows() |
637 |
|
638 |
def BoundingBox(self): |
639 |
"""Return the bounding box of all shapes in the postgis table""" |
640 |
minx = miny = maxx = maxy = None |
641 |
x=[] |
642 |
y=[] |
643 |
cursor = self.db.cursor() |
644 |
try: |
645 |
# Using the extent function is postgis specific. An OGC |
646 |
# Simple Features compliant solution would be to use a query |
647 |
# like "SELECT AsText(Envelope(the_geom)) FROM mytable;" and |
648 |
# calculate the bounding box by hand from that |
649 |
cursor.execute("SELECT extent(%s) FROM %s;" |
650 |
% (self.quoted_geo_col, self.quoted_tablename)) |
651 |
result = cursor.fetchone() |
652 |
if result[0]: |
653 |
(minx, miny), (maxx, maxy) \ |
654 |
= wellknowntext.parse_wkt_thuban(result[0])[0] |
655 |
return (minx, miny, maxx, maxy) |
656 |
finally: |
657 |
cursor.close() |
658 |
|
659 |
def Shape(self, shapeid): |
660 |
cursor = self.db.cursor() |
661 |
cursor.execute("SELECT AsText(%s) FROM %s WHERE %s=%d" |
662 |
% (self.quoted_geo_col, self.quoted_tablename, |
663 |
self.quoted_id_column, shapeid)) |
664 |
wkt = cursor.fetchone()[0] |
665 |
cursor.close() |
666 |
return PostGISShape(shapeid, wkt) |
667 |
|
668 |
def AllShapes(self): |
669 |
cursor = self.db.cursor() |
670 |
cursor.execute("SELECT %s, AsText(%s) FROM %s ORDER BY %s" |
671 |
% (self.quoted_id_column, self.quoted_geo_col, |
672 |
self.quoted_tablename, self.quoted_id_column)) |
673 |
while 1: |
674 |
result = cursor.fetchone() |
675 |
if result is None: |
676 |
return |
677 |
yield PostGISShape(result[0], result[1]) |
678 |
|
679 |
|
680 |
def ShapesInRegion(self, bbox): |
681 |
"""Generate all shapes overlapping the region given by bbox.""" |
682 |
# IMPORTANT:This will work for PostGIS < 0.8 |
683 |
left, bottom, right, top = bbox |
684 |
geom = (("POLYGON((" + ", ".join(["%f %f"] * 5) + "))") |
685 |
% (left, bottom, left, top, right, top, right, bottom, |
686 |
left, bottom)) |
687 |
cursor = self.db.cursor() |
688 |
cursor.execute("SELECT %(gid)s, AsText(%(geom)s) FROM %(table)s" |
689 |
" WHERE %(geom)s && GeometryFromText('%(box)s', %(srid)d)" |
690 |
" ORDER BY %(gid)s" |
691 |
% {"table": self.quoted_tablename, |
692 |
"geom": self.quoted_geo_col, |
693 |
"gid": self.quoted_id_column, |
694 |
"box": geom, |
695 |
"srid": self.srid}) |
696 |
while 1: |
697 |
result = cursor.fetchone() |
698 |
if result is None: |
699 |
return |
700 |
yield PostGISShape(result[0], result[1]) |