# -*- coding: utf-8 -*- # Relational # Copyright (C) 2008 Salvo "LtWorf" Tomaselli # # Relational is free software: you can redistribute it and/or modify # it under the terms of the GNU General Public License as published by # the Free Software Foundation, either version 3 of the License, or # (at your option) any later version. # # This program is distributed in the hope that it will be useful, # but WITHOUT ANY WARRANTY; without even the implied warranty of # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the # GNU General Public License for more details. # # You should have received a copy of the GNU General Public License # along with this program. If not, see . # # author Salvo "LtWorf" Tomaselli # # This module provides a classes to represent relations and to perform # relational operations on them. import csv from itertools import chain, repeat from collections import deque from relational.rtypes import * class relation (object): '''This objects defines a relation (as a group of consistent tuples) and operations A relation can be represented using a table Calling an operation and providing a non relation parameter when it is expected will result in a None value''' __hash__ = None def __init__(self, filename=""): '''Creates a relation, accepts a filename and then it will load the relation from that file. If no parameter is supplied an empty relation is created. Empty relations are used in internal operations. By default the file will be handled like a comma separated as described in RFC4180.''' self._readonly = False if len(filename) == 0: # Empty relation self.content = set() self.header = header([]) return with open(filename) as fp: reader = csv.reader(fp) # Creating a csv reader self.header = header(next(reader)) # read 1st line self.content = set() attributes = len(self.header) iterator = ((self.insert(i) for i in reader)) deque(iterator, maxlen=0) def _make_writable(self): '''If this relation is marked as readonly, this method will copy the content to make it writable too''' if self._readonly: self.content = set(self.content) self._readonly = False def __iter__(self): return iter(self.content) def __contains__(self, key): return key in self.content def save(self, filename): '''Saves the relation in a file. By default will save using the csv format as defined in RFC4180, but setting comma_separated to False, it will use the old format with space separated values. ''' fp = open(filename, 'w') # Opening file in write mode writer = csv.writer(fp) # Creating csv writer # It wants an iterable containing iterables head = (self.header,) writer.writerows(head) # Writing content, already in the correct format writer.writerows(self.content) fp.close() # Closing file def _rearrange_(self, other): '''If two relations share the same attributes in a different order, this method will use projection to make them have the same attributes' order. It is not exactely related to relational algebra. Just a method used internally. Will return None if they don't share the same attributes''' if (self.__class__ != other.__class__): raise Exception('Expected an instance of the same class') if self.header.sharedAttributes(other.header) == len(self.header): return other.projection(self.header) raise Exception('Relations differ: [%s] [%s]' % ( ','.join(self.header) , ','.join(other.header) )) def selection(self, expr): '''Selection, expr must be a valid boolean expression, can contain field names, constant, math operations and boolean ones.''' newt = relation() newt.header = header(self.header) for i in self.content: # Fills the attributes dictionary with the values of the tuple attributes = {attr:i[j].autocast() for j, attr in enumerate(self.header)} try: if eval(expr, attributes): newt.content.add(i) except Exception as e: raise Exception( "Failed to evaluate %s\n%s" % (expr, e.__str__())) return newt def product(self, other): '''Cartesian product, attributes must be different to avoid collisions Doing this operation on relations with colliding attributes will cause an exception. It is possible to use rename on attributes and then use the product''' if (self.__class__ != other.__class__)or(self.header.sharedAttributes(other.header) != 0): raise Exception( 'Unable to perform product on relations with colliding attributes') newt = relation() newt.header = header(self.header + other.header) for i in self.content: for j in other.content: newt.content.add(i + j) return newt def projection(self, * attributes): '''Projection operator, takes many parameters, for each field to use. Can also use a single parameter with a list. Will delete duplicate items If an empty list or no parameters are provided, returns None''' # Parameters are supplied in a list, instead with multiple parameters if not isinstance(attributes[0], str): attributes = attributes[0] ids = self.header.getAttributesId(attributes) if len(ids) == 0: raise Exception('Invalid attributes for projection') newt = relation() # Create the header h = (self.header[i] for i in ids) newt.header = header(h) # Create the body for i in self.content: row = (i[j] for j in ids) newt.content.add(tuple(row)) return newt def rename(self, params): '''Operation rename. Takes a dictionary Will replace the itmem with its content. For example if you want to rename a to b, provide {"a":"b"} ''' result = [] newt = relation() newt.header = self.header.rename(params) newt.content = self.content newt._readonly = True self._readonly = True return newt def intersection(self, other): '''Intersection operation. The result will contain items present in both operands. Will return an empty one if there are no common items. Will return None if headers are different. It is possible to use projection and rename to make headers match.''' other = self._rearrange_(other) # Rearranges attributes' order newt = relation() newt.header = header(self.header) newt.content = self.content.intersection(other.content) return newt def difference(self, other): '''Difference operation. The result will contain items present in first operand but not in second one. Will return an empty one if the second is a superset of first. Will return None if headers are different. It is possible to use projection and rename to make headers match.''' other = self._rearrange_(other) # Rearranges attributes' order newt = relation() newt.header = header(self.header) newt.content = self.content.difference(other.content) return newt def division(self, other): '''Division operator The division is a binary operation that is written as R ÷ S. The result consists of the restrictions of tuples in R to the attribute names unique to R, i.e., in the header of R but not in the header of S, for which it holds that all their combinations with tuples in S are present in R. ''' # d_headers are the headers from self that aren't also headers in other d_headers = tuple(set(self.header) - set(other.header)) ''' Wikipedia defines the division as follows: a1,....,an are the d_headers T := πa1,...,an(R) × S U := T - R V := πa1,...,an(U) W := πa1,...,an(R) - V W is the result that we want ''' t = self.projection(d_headers).product(other) return self.projection(d_headers).difference(t.difference(self).projection(d_headers)) def union(self, other): '''Union operation. The result will contain items present in first and second operands. Will return an empty one if both are empty. Will not insert tuplicated items. Will return None if headers are different. It is possible to use projection and rename to make headers match.''' other = self._rearrange_(other) # Rearranges attributes' order newt = relation() newt.header = header(self.header) newt.content = self.content.union(other.content) return newt def thetajoin(self, other, expr): '''Defined as product and then selection with the given expression.''' return self.product(other).selection(expr) def outer(self, other): '''Does a left and a right outer join and returns their union.''' a = self.outer_right(other) b = self.outer_left(other) return a.union(b) def outer_right(self, other): '''Outer right join. Considers self as left and param as right. If the tuple has no corrispondence, empy attributes are filled with a "---" string. This is due to the fact that empty string or a space would cause problems when saving the relation. Just like natural join, it works considering shared attributes.''' return other.outer_left(self) def outer_left(self, other, swap=False): '''Outer left join. Considers self as left and param as right. If the tuple has no corrispondence, empty attributes are filled with a "---" string. This is due to the fact that empty string or a space would cause problems when saving the relation. Just like natural join, it works considering shared attributes.''' shared = self.header.intersection(other.header) newt = relation() # Creates the new relation # Creating the header with all the fields, done like that because order is # needed h = (i for i in other.header if i not in shared) newt.header = header(chain(self.header,h)) # Shared ids of self sid = self.header.getAttributesId(shared) # Shared ids of the other relation oid = other.header.getAttributesId(shared) # Non shared ids of the other relation noid = [i for i in range(len(other.header)) if i not in oid] for i in self.content: # Tuple partecipated to the join? added = False for j in other.content: match = True for k in range(len(sid)): match = match and (i[sid[k]] == j[oid[k]]) if match: item = chain(i,(j[l] for l in noid)) newt.content.add(tuple(item)) added = True # If it didn't partecipate, adds it if not added: item = chain(i,repeat('---',len(noid))) newt.content.add(tuple(item)) return newt def join(self, other): '''Natural join, joins on shared attributes (one or more). If there are no shared attributes, it will behave as cartesian product.''' # List of attributes in common between the relations shared = self.header.intersection(other.header) newt = relation() # Creates the new relation # Creating the header with all the fields, done like that because order is # needed h = (i for i in other.header if i not in shared) newt.header = header(chain(self.header,h)) # Shared ids of self sid = self.header.getAttributesId(shared) # Shared ids of the other relation oid = other.header.getAttributesId(shared) # Non shared ids of the other relation noid = [i for i in range(len(other.header)) if i not in oid] for i in self.content: for j in other.content: match = True for k in range(len(sid)): match = match and (i[sid[k]] == j[oid[k]]) if match: item = chain(i, (j[l] for l in noid)) newt.content.add(tuple(item)) return newt def __eq__(self, other): '''Returns true if the relations are the same, ignoring order of items. This operation is rather heavy, since it requires sorting and comparing.''' if self.__class__ != other.__class__: return False if set(self.header) != set(other.header): return False # Rearranges attributes' order so can compare tuples directly other = self._rearrange_(other) # comparing content return self.content == other.content def __len__(self): return len(self.content) def __str__(self): '''Returns a string representation of the relation, can be printed with monospaced fonts''' m_len = [] # Maximum lenght string for f in self.header: m_len.append(len(f)) for f in self.content: col = 0 for i in f: if len(i) > m_len[col]: m_len[col] = len(i) col += 1 res = "" for f,attr in enumerate(self.header): res += "%s" % (attr.ljust(2 + m_len[f])) for r in self.content: col = 0 res += "\n" for i in r: res += "%s" % (i.ljust(2 + m_len[col])) col += 1 return res def update(self, expr, dic): '''Update, expr must be a valid boolean expression, can contain field names, constant, math operations and boolean ones. This operation will change the relation itself instead of generating a new one, updating all the tuples that make expr true. Dic must be a dictionary that has the form field name:value. Every kind of value will be converted into a string. Returns the number of affected rows.''' self._make_writable() affected = 0 attributes = {} keys = dic.keys() # List of headers to modify f_ids = self.header.getAttributesId( keys) # List of indexes corresponding to keys # new_content=[] #New content of the relation for i in self.content: for j,attr in enumerate(self.header): attributes[attr] = i[j].autocast() if eval(expr, attributes): # If expr is true, changing the tuple affected += 1 new_tuple = list(i) # Deleting the tuple, instead of changing it, so other # relations can still point to the same list without # being affected. self.content.remove(i) for k in range(len(keys)): new_tuple[f_ids[k]] = rstring(dic[keys[k]]) self.content.add(tuple(new_tuple)) return affected def insert(self, values): '''Inserts a tuple in the relation. This function will not insert duplicate tuples. All the values will be converted in string. Will return the number of inserted rows.''' if len(self.header) != len(values): raise Exception( 'Tuple has the wrong size. Expected %d, got %d' % ( len(self.header), len(values) ) ) self._make_writable() prevlen = len(self.content) self.content.add(tuple(map(rstring, values))) return len(self.content) - prevlen def delete(self, expr): '''Delete, expr must be a valid boolean expression, can contain field names, constant, math operations and boolean ones. This operation will change the relation itself instead of generating a new one, deleting all the tuples that make expr true. Returns the number of affected rows.''' #Not necessary self._make_writable() l = len(self.content) self._readonly = False self.content = self.difference(self.selection(expr)).content return len(self.content) - l class header(tuple): '''This class defines the header of a relation. It is used within relations to know if requested operations are accepted''' # Since relations are mutalbe we explicitly block hashing them def __new__ (cls, fields): return super(header, cls).__new__(cls, tuple(fields)) def __init__(self, *args, **kwargs): '''Accepts a list with attributes' names. Names MUST be unique''' for i in self: if not is_valid_relation_name(i): raise Exception('"%s" is not a valid attribute name' % i) if len(self) != len(set(self)): raise Exception('Attribute names must be unique') def __repr__(self): return "header(%s)" % super(header, self).__repr__() def rename(self, params): '''Returns a new header, with renamed fields. params is a dictionary of {old:new} names ''' attrs = list(self) for old,new in params.items(): if not is_valid_relation_name(new): raise Exception('%s is not a valid attribute name' % new) try: id_ = attrs.index(old) attrs[id_] = new except: raise Exception('Field not found: %s' % old) return header(attrs) def sharedAttributes(self, other): '''Returns how many attributes this header has in common with a given one''' return len(set(self).intersection(set(other))) def union(self, other): '''Returns the union of the sets of attributes with another header.''' return set(self).union(set(other)) def intersection(self, other): '''Returns the set of common attributes with another header.''' return set(self).intersection(set(other)) def getAttributesId(self, param): '''Returns a list with numeric index corresponding to field's name''' return [self.index(i) for i in param]