Get rid of the last remains of galileo
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complexity
26
complexity
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Complexity
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Abstract
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Purpose of this document is to describe in a detailed way the
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Purpose of this document is to describe in a detailed way the
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complexity of relational algebra operations. The evaluation will be
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done on the specific implementation of this program, not on theorical
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lower limits.
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Latest implementation can be found at:
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http://galileo.dmi.unict.it/svn/trunk
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https://github.com/ltworf/relational
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Notation
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Big O notation will be used. Constant values will be ignored.
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Single letters will be used to indicate relations and letters between
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| will indicate the cardinality (number of tuples) of the relation.
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Number of tuples can't be enough. For example a relation with one
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touple and thousands of fields, will not take O(1) in general to be
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evaluated. So we assume that relations will have a reasonable and
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comparable number of fields.
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Then after evaluating the big O notation, an attempt to find more
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precise results will be done, since it will be important to know
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with a certain precision the weight of the operation.
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@ -47,7 +47,7 @@ Notation
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Then, the tuple is inserted in a new relation if it satisfies the
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condition. Since no check on duplicated tuples is performed, this
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operation is constant too.
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In the end we have O(|n|) as complexity for a selection on the
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relation n.
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@ -57,9 +57,9 @@ Notation
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containing the name of the fields.
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The big issue is to copy the content of the relation into a new
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relation object, so the new one can be modified.
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So the operation depends on the size of the relation: O(|n|).
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1.3 Projection
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The projection operation creates a copy of the original relation
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@ -69,7 +69,7 @@ Notation
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allowed. So after extracting the wanted elements, it has to check if
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the new tuple was already added to the new relation. And this brings
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the complexity to O(|n|²).
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But the projection can also be used to "rearrange" fields, which
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makes no sense in pure relational algebra, but can be usefull to make
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two relations match (in fact it is used internally to make relations
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@ -84,7 +84,7 @@ Notation
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in this section. Since we will deal with two relations per operation
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here, we will call them m and n, and f and g will be the number of
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their fields.
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2.1 Product
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Product is a very complex operations. It is O(|n|*|m|).
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@ -120,7 +120,7 @@ Notation
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join. Makes it O(|n|*|m|) too.
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2.7 Outher_left
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O(|n|*|m|), very depending on the number of the fields, because they
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are compared.
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@ -128,8 +128,8 @@ Notation
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Mirror operation of outer_lef
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2.9 Join
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2.9 Join
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Same as above.
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xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
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xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
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7
debian/changelog
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debian/changelog
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relational (1.2-1) unstable; urgency=medium
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* New upstream release
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* Point to new upstream location
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-- Salvo 'LtWorf' Tomaselli <tiposchi@tiscali.it> Fri, 27 Dec 2013 00:35:44 +0100
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relational (1.1-1) unstable; urgency=low
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* New upstream release
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2
debian/control
vendored
2
debian/control
vendored
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Maintainer: Salvo 'LtWorf' Tomaselli <tiposchi@tiscali.it>
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Build-Depends: debhelper (>= 7.0.50~), python, python-support
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Standards-Version: 3.9.2
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Homepage: http://galileo.dmi.unict.it/wiki/relational/doku.php
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Homepage: https://github.com/ltworf/relational/
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Package: python-relational
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Architecture: all
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2
debian/copyright
vendored
2
debian/copyright
vendored
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Format: http://www.debian.org/doc/packaging-manuals/copyright-format/1.0/
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Author: Salvo "LtWorf" Tomaselli <tiposchi@tiscali.it>
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Source: http://galileo.dmi.unict.it/wiki/relational/doku.php
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Source: https://github.com/ltworf/relational
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Files: *
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Copyright: © 2008 Salvo "LtWorf" Tomaselli <tiposchi@tiscali.it>
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2
debian/watch
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2
debian/watch
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version=3
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opts=filenamemangle=s/.*:// http://galileo.dmi.unict.it/wiki/relational/doku.php?id=download /wiki/[^:]*:relational_([^(_mac)]*).tar.gz
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opts=filenamemangle=s/.+\/v?(\d\S*)\.tar\.gz/relational-$1\.tar\.gz/ https://github.com/ltworf/relational/tags .*/v?(\d\S*)\.tar\.gz
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@ -39,7 +39,7 @@
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# BinaryOp := * | - | ᑌ | ᑎ | ÷ | ᐅᐊ | ᐅLEFTᐊ | ᐅRIGHTᐊ | ᐅFULLᐊ
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#
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# Language definition here:
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# https://galileo.dmi.unict.it/wiki/relational/doku.php?id=language
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# https://github.com/ltworf/relational/wiki/Grammar-and-language
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import re
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import rtypes
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print
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print "Written by Salvo 'LtWorf' Tomaselli <tiposchi@tiscali.it>"
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print
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print "http://galileo.dmi.unict.it/wiki/relational/"
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print "https://github.com/ltworf/relational/"
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if exit:
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sys.exit(0)
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@ -30,7 +30,7 @@ import locale
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class surveyForm (QtGui.QWidget):
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'''This class is the form used for the survey, needed to intercept the events.
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It also sends the data with http POST to a page hosted on galileo'''
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It also sends the data with http POST to a page'''
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def setUi(self, ui):
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self.ui = ui
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# -*- coding: utf-8 -*-
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# Relational
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# Copyright (C) 2008 Salvo "LtWorf" Tomaselli
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#
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#
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# Relational is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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#
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#
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# author Salvo "LtWorf" Tomaselli <tiposchi@tiscali.it>
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from distutils.core import setup
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@ -28,6 +28,6 @@ def c_setup(name):
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author_email='tiposchi@tiscali.it',
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maintainer="Salvo 'LtWorf' Tomaselli",
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maintainer_email='tiposchi@tiscali.it',
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url='http://galileo.dmi.unict.it/wiki/relational/',
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url='https://github.com/ltworf/relational',
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license='GPL3',
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)
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)
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AppName=Relational
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AppVerName=Relational ver. 1.2
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AppPublisher=Salvo 'LtWorf' Tomaselli
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AppPublisherURL=http://galileo.dmi.unict.it/wiki/relational/
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AppSupportURL=http://galileo.dmi.unict.it/wiki/relational/
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AppUpdatesURL=http://galileo.dmi.unict.it/wiki/relational/
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AppPublisherURL=https://github.com/ltworf/relational
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AppSupportURL=https://github.com/ltworf/relational
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AppUpdatesURL=https://github.com/ltworf/relational
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DefaultDirName={pf}\Relational
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DefaultGroupName=Relational
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AllowNoIcons=yes
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@ -37,7 +37,7 @@ Source: "samples\*"; DestDir: "{app}"; Flags: ignoreversion recursesubdirs creat
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[Icons]
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Name: "{group}\Relational"; Filename: "{app}\relational_gui.exe"
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Name: "{group}\{cm:ProgramOnTheWeb,Relational}"; Filename: "http://galileo.dmi.unict.it/wiki/relational/"
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Name: "{group}\{cm:ProgramOnTheWeb,Relational}"; Filename: "https://github.com/ltworf/relational"
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Name: "{group}\{cm:UninstallProgram,Relational}"; Filename: "{uninstallexe}"
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Name: "{commondesktop}\Relational"; Filename: "{app}\relational_gui.exe"; Tasks: desktopicon
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Name: "{userappdata}\Microsoft\Internet Explorer\Quick Launch\Relational"; Filename: "{app}\relational_gui.exe"; Tasks: quicklaunchicon
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