README

PURPOSE ^

SYNOPSIS ^

This is a script file.

DESCRIPTION ^

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 optiGTest
0002 ===
0003 
0004 [![GitHub license](https://img.shields.io/github/license/luclaurent/optiGTest.svg)](https://github.com/luclaurent/optiGTest/blob/master/LICENSE.md)
0005  [![Github Releases](https://img.shields.io/github/release/luclaurent/optiGTest.svg)]() [![DOI](https://zenodo.org/badge/132956523.svg)](https://zenodo.org/badge/latestdoi/132956523)
0006 
0007 optiGTest is a MATLAB's toolbox which regroups many test functions used for studying the performance of approximation techniques and optimization strategy. In particular, gradient sof the test functions are provided.
0008 
0009 Features
0010 ---
0011 
0012 optiGTest is able to 
0013 
0014 * Provide derivatives of the test functions
0015 * Dealing with any dimension chosen by the user
0016 * Provide global minimum (value and associated set of parameters)
0017 
0018 First start
0019 ---
0020 
0021 * unConstrained problems: `Example_unConstrained.m`
0022 
0023 List of unconstrained functions
0024 ---
0025 
0026 [(see the 3D plots of the 2-dimensional unconstrained functions)](https://bitbucket.org/luclaurent/optigtest/wiki/unConstrained)
0027 
0028 | -                         | -                      | -                            |
0029 | ------------------------- | ---------------------- | ---------------------------- |
0030 | Ackley1                   | DixonPrice             | Quintic                      |
0031 | Ackley2                   | Dolan                  | Rastrigin                    |
0032 | Ackley3                   | DropWave               | RHE                          |
0033 | Ackley4                   | Easom                  | Ripple01                     |
0034 | Adjiman                   | ElAttarVidyasogarDutta | Ripple25                     |
0035 | Alpine1                   | EggCrate               | Rosenbrock                   |
0036 | Alpine2                   | EggHolder              | RosenbrockM                  |
0037 | AHE                       | Exponential            | RosenbrockMS                 |
0038 | AMGM                      | EX1                    | RotatedEllipse1              |
0039 | BartelsConn               | Exp2                   | RotatedEllipse2              |
0040 | Beale                     | Exp3                   | Rump                         |
0041 | BiggsExp2                 | Exp4                   | Salomon                      |
0042 | BiggsExp3                 | Exp5                   | Sargan                       |
0043 | BiggsExp4                 | Exp6                   | Schaffer1                    |
0044 | BiggsExp5                 | FreudensteinRoth       | Schaffer2                    |
0045 | BiggsExp6                 | Gear                   | Schaffer3                    |
0046 | Bird                      | Giunta                 | Schaffer4                    |
0047 | Bohachevsky1              | GoldsteinPrice         | Schaffer6                    |
0048 | Bohachevsky2              | Griewank               | SchmidtVetters               |
0049 | Bohachevsky3              | GulfResearch           | Schwefel01                   |
0050 | Booth                     | Hansen                 | Schwefel02                   |
0051 | BoxBetts                  | Hartmann3              | Schwefel04                   |
0052 | Brad                      | Hartmann6              | Schwefel06                   |
0053 | Branin1                   | HelicalValley          | Schwefel20                   |
0054 | Branin2                   | Himmelblau             | Schwefel21                   |
0055 | Brent                     | Holzman                | Schwefel22                   |
0056 | Brown                     | Hosaki                 | Schwefel23                   |
0057 | Bukin01                   | Infiniti               | Schwefel25                   |
0058 | Bukin02                   | JennrichSampson        | Schwefel26                   |
0059 | Bukin03                   | Judge                  | Schwefel36                   |
0060 | Bukin04                   | Katsuura               | Shekel05                     |
0061 | Bukin05                   | Keane                  | Shekel07                     |
0062 | Bukin06                   | Kowalik                | Shekel10                     |
0063 | Bukin07                   | Langermann52           | Shubert1                     |
0064 | Bukin08                   | Langermann5            | Shubert3                     |
0065 | Bukin09                   | Leon                   | Shubert4                     |
0066 | Bukin10                   | Levy03                 | SineEnveloppe                |
0067 | Bukin11                   | Levy05                 | Sodp                         |
0068 | Bukin12                   | Levy13                 | Slope                        |
0069 | Bukin13                   | Matyas                 | Sphere                       |
0070 | Bukin14                   | McCormick              | Step                         |
0071 | Bukin15                   | Michalewicz            | Step1                        |
0072 | Bukin16                   | MieleCantrell          | Step2                        |
0073 | Bukin17                   | Mishra01               | Step3                        |
0074 | Bukin18                   | Mishra02               | StepInt                      |
0075 | Bukin19                   | Mishra03               | Stochastic                   |
0076 | Bukin20                   | Mishra04               | StretchedV                   |
0077 | CamelbackThreeHump        | Mishra05               | StyblinskiTang               |
0078 | CamelbackSixHump          | Mishra06               | SumSquare                    |
0079 | CarromTable               | Mishra07               | Treccani                     |
0080 | ChenV                     | Mishra08               | Trefethen                    |
0081 | ChenBird                  | Mishra09               | Trid                         |
0082 | Chichinadze               | Mishra10               | Trigonometric1               |
0083 | ChungReynolds             | Mishra11               | Trigonometric2               |
0084 | Cigar                     | Mystery                | Tripod                       |
0085 | Cola                      | NeedleEye              | TubeHolder                   |
0086 | Colville                  | NewFunction1           | Ursem1                       |
0087 | Corana                    | NewFunction2           | Ursem3                       |
0088 | CosineMixture             | NewFunction3           | Ursem4                       |
0089 | CrossInTray               | Null                   | UrsemWaves                   |
0090 | CrossLegTable             | OddSquare              | VenterSobiezcczanskiSobieski |
0091 | CrownedCross              | Parsopoulos            | Vincent                      |
0092 | Csendes                   | Pathological           | Watson                       |
0093 | Cst                       | Paviani                | Wavy                         |
0094 | Cube                      | Peaks                  | WayburnSeader1               |
0095 | Custom01                  | PeaksN                 | WayburnSeader2               |
0096 | Custom02                  | Penalty1               | Weibull                      |
0097 | Custom03                  | Penalty2               | Weierstrass                  |
0098 | Custom04                  | PenHolder              | Whitley                      |
0099 | Custom05                  | Periodic               | Wolfe                        |
0100 | Damavandi                 | Pinter                 | XinSheYang1                  |
0101 | Deb1                      | Plateau                | XinSheYang2                  |
0102 | Deb2                      | Powell                 | XinSheYang3                  |
0103 | Deb3                      | PowerSum               | XinSheYang4                  |
0104 | Deb4                      | Price1                 | Xor                          |
0105 | Decanomial                | Price2                 | YaoLiu4                      |
0106 | Deceptive                 | Price3                 | YaoLiu9                      |
0107 | DeckkersAarts             | Price4                 | Zacharov                     |
0108 | DeflectedCorrugatedSpring | Qing                   | Zettl                        |
0109 | DeVilliersGlasser1        | Quadratic              | Zimmerman                    |
0110 | DeVilliersGlasser2        | Quartic                | Zirilli                      |
0111 
0112 List of constrained problems
0113 ---
0114 
0115 [(see the 2D-3D plots of the 1- and 2-dimensional constrained problems)](https://bitbucket.org/luclaurent/optigtest/wiki/Constrained)
0116 
0117 List of multiobjective problems (w/- and w/o constraints)
0118 ---
0119 
0120 [(see the 2D-3D plots of the 1- and 2-dimensional multiobjective problems)](https://bitbucket.org/luclaurent/optigtest/wiki/Constrained)
0121 
0122 Download
0123 ---
0124 
0125 The toolbox can be downloaded [here](https://bitbucket.org/luclaurent/optigtest/downloads) or [here](https://github.com/luclaurent/optigtest/releases).
0126 
0127 If you use `git`, you can clone the repository using the following command
0128 
0129     git clone --recursive git@bitbucket.org:luclaurent/optigtest.git optiGTest
0130 
0131 or 
0132 
0133     git clone --recursive git@github.com:luclaurent/optiGTest.git optiGTest
0134 
0135 Dependency
0136 ---
0137 
0138 **optiGTest** uses the **gradFD** class for checking gradients computation. Loading this class is optional but some functionalities will not be available which is not very important if you only want to use the main purpose of this toolbox (computing responses of objective and constraints functions and their gradients).
0139 
0140 If you forget to use the `--recursive` option when you clone the repository, please use the command `submodule --init` in order to initialize the missing class **gradFD**. 
0141 
0142 [Documentation](https://goo.gl/xRMLYb)
0143 ---
0144 
0145 The automatic building of the documentation is based on the [m2html](http://www.artefact.tk/software/matlab/m2html/) software.
0146 
0147 The obtained documentation is available [here](https://goo.gl/xRMLYb).
0148 
0149 References
0150 ---
0151 
0152 This toolbox is inspired by many existing codes and papers
0153 
0154 * [AMPGO](http://infinity77.net/global_optimization/index.html) (and [github repository](https://github.com/andyfaff/ampgo/))
0155 * E. P. Adorio and U. P. Diliman. [MVF - Multivariate Test Functions Library in C for Unconstrained Global Optimization.](https://www.google.fr/url?sa=t&rct=j&q=&esrc=s&source=web&cd=1&cad=rja&uact=8&ved=0ahUKEwi2j_iz8sbTAhWG0hoKHfYLAncQFggnMAA&url=http%3A%2F%2Fwww.geocities.ws%2Feadorio%2Fmvf.pdf&usg=AFQjCNE7AMN9NpxLz2UGDInWKcwMeC120g&sig2=trbG1un24A4RfYCPdifjuA)
0156 * P. N. Suganthan, N. Hansen, J. J. Liang, K. Deb, Y. P. Chen, A. Auger and S. Tiwari. Problem definitions and evaluation criteria for the CEC 2005 special session on real-parameter optimization. KanGAL report, 2005.[Link](https://www.lri.fr/~hansen/Tech-Report-May-30-05.pdf)
0157 * V. Bicik, Continuous optimization algorithms, Master thesis, Czech Technical University in Prague, 2010 [Link](https://dip.felk.cvut.cz/browse/pdfcache/bicikvla_2010dipl.pdf)
0158 * M. Jamil and Xin-She Yang, A literature survey of benchmark functions for global optimization problems, *Int. Journal of Mathematical Modelling and Numerical Optimisation*, Vol. 4, No. 2, pp. 150--194 (2013) doi: [10.1504/IJMMNO.2013.055204](https://doi.org/10.1504/IJMMNO.2013.055204) arXiv: [1308.4008](https://arxiv.org/abs/1308.4008) [PDF](https://arxiv.org/pdf/1308.4008.pdf)
0159 * M. Molga, C. Smutnick. Test functions for optimization needs, *Comput. Inform. Sci.*, 1-43, 2005. [Link](http://new.zsd.iiar.pwr.wroc.pl/files/docs/functions.pdf)
0160 * M. M. Ali, C. Khompatraporn and Z. B. Zabinsky, *Journal of Global Optimisation* (2005) 31:635. doi: [10.1007/s10898-004-9972-2](https://doi.org/10.1007/s10898-004-9972-2) [PDF](http://folk.uib.no/ssu029/Pdf_file/Ali05.pdf)
0161 * [Virtual Library of Simulation Experiments](https://www.sfu.ca/~ssurjano/other.html)
0162 * Wikipedia. [Test functions for optimization](http://en.wikipedia.org/w/index.php?title=Test%20functions%20for%20optimization&oldid=837180368), 2018. [Online; accessed 13-May-2018]
0163 
0164 License ![GNU GPLv3](http://www.gnu.org/graphics/gplv3-88x31.png)
0165 ---
0166 
0167     optiGTest - set of testing functions    A toolbox to easy manipulate functions.
0168     Copyright (C) 2017  Luc LAURENT <luc.laurent@lecnam.net>
0169     
0170     This program is free software: you can redistribute it and/or modify
0171     it under the terms of the GNU General Public License as published by
0172     the Free Software Foundation, either version 3 of the License, or
0173     (at your option) any later version.
0174     
0175     This program is distributed in the hope that it will be useful,
0176     but WITHOUT ANY WARRANTY; without even the implied warranty of
0177     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
0178     GNU General Public License for more details.
0179     
0180     You should have received a copy of the GNU General Public License
0181     along with this program.  If not, see <http://www.gnu.org/licenses/>.

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