TestU01 swMATH ID: 8033 Software Authors: P. L'Ecuyer; R. Simard Description: TestU01 is a software library, implemented in the ANSI C language, and offering a collection of utilities for the empirical statistical testing of uniform random number generators. The library implements several types of random number generators in generic form, as well as many specific generators proposed in the literature or found in widely-used software. It provides general implementations of the classical statistical tests for random number generators, as well as several others proposed in the literature, and some original ones. These tests can be applied to the generators predefined in the library and to user-defined generators. Specific tests suites for either sequences of uniform random numbers in [0,1] or bit sequences are also available. Basic tools for plotting vectors of points produced by generators are provided as well. Additional software permits one to perform systematic studies of the interaction between a specific test and the structure of the point sets produced by a given family of random number generators. That is, for a given kind of test and a given class of random number generators, to determine how large should be the sample size of the test, as a function of the generator’s period length, before the generator starts to fail the test systematically. Homepage: http://simul.iro.umontreal.ca/testu01/tu01.html Related Software: MersenneTwister; Diehard; NIST Statistical Test Suite; dieharder; SPRNG; MRG32k3a; SFMT; RngSteam; AS 183; Excel; RngStreams; GSL; CUDA; xorgens; XSadd; Ent; R; trng; MIXMAX; Mathematica Cited in: 123 Documents all top 5 Cited by 235 Authors 7 L’Ecuyer, Pierre 7 Matsumoto, Makoto 5 Sulak, Fatih 4 Barash, Lev Yur’evich 4 Doğanaksoy, Ali 4 Haramoto, Hiroshi 4 Liu, Hongjun 4 Mascagni, Michael V. 4 Saito, Mutsuo 4 Uğuz, Muhiddin 3 Couchot, Jean-François 3 Deng, Lih-Yuan 3 Koçak, Onur 3 Li, Jie 3 Liu, LingFeng 3 Lu, Henry Horng-Shing 3 McCullough, B. D. 3 Savvidy, George K. 3 Savvidy, Konstantin G. 3 Shchur, Lev Nikolaevich 3 Simard, Richard J. 3 Zheng, Jianliang 2 Almaraz-Luengo, Elena 2 Bhattacharjee, Kamalika 2 Bruno, Odemir Martinez 2 Chen, Tianyu 2 Contassot-Vivier, Sylvain 2 Corsaro, Stefania 2 Das, Sukanta 2 De Angelis, Pasquale L. 2 Ding, Qun 2 Fan, Chunlei 2 Gevorkyan, Migran N. 2 Guyeux, Christophe 2 Harase, Shin 2 Harkin, Jim 2 Héam, Pierre-Cyrille 2 Hin, Lin-Yee 2 Korolkova, Anna V. 2 Kulyabov, Dmitriĭ Sergeevich 2 Liao, Xiaofeng 2 Liu, Bocheng 2 Liu, Junxiu 2 Liu, Yunqi 2 Luo, Yuling 2 Ma, Yuan 2 Machicao, Jeaneth 2 Marino, Zelda 2 Matyáš, Vashek 2 Miao, Suoxia 2 Panneton, François 2 Perla, Francesca 2 Saito, Asaki 2 Shiau, Jyh-Jen Horng 2 Sýs, Marek 2 Vigna, Sebastiano 2 Whitlock, Paula A. 2 Yamaguchi, Akihiro 2 Zhao, Mengdi 1 Akcengiz, Ziya 1 Aldossari, Haifa 1 Aljahdali, Asia 1 Almulla, Mohammed 1 Alvarez, Nicolás 1 Álvarez, Rafael 1 Amani Jabalkandi, Fardin 1 Anderson, Joshua A. 1 Avaroğlu, Erdinç 1 Ayubi, Peyman 1 Bakiri, Mohammed 1 Balková, L’ubomíra 1 Barchiesi, Dominique 1 Becher, Verónica 1 Beebe, Nelson H. F. 1 Beliakov, Gleb 1 Borovský, Michal 1 Bourceret, Erwan 1 Brent, Richard Peirce 1 Bucci, Michelangelo 1 Cao, Lvchen 1 Cao, Yi 1 Cárdenas-Valdez, Jose R. 1 Chang, Shu-Ming 1 Chen, Shih-Liang 1 Chen, Tai-Been 1 Chen, Yuehui 1 Cho, Kenichiro 1 Chvátal, Vašek 1 Creighton, Doug 1 De Luca, Alessandro 1 Demchik, Vadim 1 Demidova, Anastasiya V. 1 Deutschmann, Martin 1 Dong, Shawfeng 1 Draper, David 1 Ergen, Burhan 1 Erra, Robert 1 Eubank, Randy L. 1 Faure, Emil V. 1 Ferrari, Pablo Augusto ...and 135 more Authors all top 5 Cited in 50 Serials 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Computational and Applied Mathematics 6 Mathematics and Computers in Simulation 6 Computational Statistics and Data Analysis 5 Chaos, Solitons and Fractals 5 ACM Transactions on Mathematical Software 5 Monte Carlo Methods and Applications 4 Nonlinear Dynamics 3 Computer Physics Communications 3 Information Sciences 3 INFORMS Journal on Computing 3 Mathematical Problems in Engineering 2 Journal of Computational Physics 2 Applied Mathematics and Computation 2 Computing 2 Programming and Computer Software 2 Computational Statistics 2 Communications in Nonlinear Science and Numerical Simulation 2 Computer Science Review 1 Discrete Applied Mathematics 1 Theoretical Computer Science 1 Advances in Applied Mathematics 1 Statistics & Probability Letters 1 Parallel Computing 1 Statistical Science 1 Multidimensional Systems and Signal Processing 1 Neural Computation 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 Journal of Nonlinear Science 1 Cybernetics and Systems Analysis 1 Turkish Journal of Mathematics 1 Filomat 1 Journal of Functional Programming 1 ACM Transactions on Modeling and Computer Simulation 1 Chaos 1 Communications de la Faculté des Sciences de l’Université d’Ankara. 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Mathematics and Statistics 1 Interdisciplinary Information Sciences (IIS) 1 Methodology and Computing in Applied Probability 1 The ANZIAM Journal 1 Journal of Applied Mathematics 1 Quantum Information Processing 1 Computational Management Science 1 Stochastic Modelling and Applied Probability 1 Cryptography and Communications 1 Statistics Surveys 1 Statistics and Computing 1 JSIAM Letters 1 Mathematics 1 Chapman & Hall/CRC Computer Science & Data Analysis Series all top 5 Cited in 16 Fields 83 Numerical analysis (65-XX) 38 Information and communication theory, circuits (94-XX) 26 Computer science (68-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Statistics (62-XX) 17 Number theory (11-XX) 11 Probability theory and stochastic processes (60-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Partial differential equations (35-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Citations by Year