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Topic: Mersenne twister

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	A Mersenne Twister Class - The Code Project - C++ / MFC
		The Mersenne Twister(MT) is a pseudorandom number generator (PRNG) developed by Makoto Matsumoto and Takuji Nishimura[1][2] during 1996-1997.
		The Mersenne Twister is generally considered to be fast, small and provides equal distribution.
		[1] "Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator", M. Matsumoto and T. Nishimura, ACM Transactions on Modeling and Computer Simulation, Vol.
	www.codeproject.com /cpp/mersennetwisterclass.asp (1370 words)

	Mersenne Twister Random Number Generator (Site not responding. Last check: )
		The Mersenne Twister is an algorithm for generating random numbers.
		I have implemented the Mersenne Twister in a C++ class that is fast, convenient, portable, and free.
		The seeding algorithm was revised to correct a minor problem in which the highest bit of the seed was not well represented in the generator state.
	www.personal.engin.umich.edu /~wagnerr/MersenneTwister.html (264 words)

	Mersenne twister
		The Mersenne twister is a pseudorandom number generator that was developed in 1997 by Makoto Matsumoto (松本眞) and Takuji Nishimura (西村拓士).
		There are two variants of the algorithm, the newer and more commonly utilised one being the Mersenne Twister MT 19937.
		This period, incidentally, explains the origin of the name: it is a Mersenne prime, and some of the guarantees of the algorithm depend on internal use of Mersenne primes.
	www.xasa.com /wiki/en/wikipedia/m/me/mersenne_twister.html (313 words)

	Reference.com/Encyclopedia/Mersenne twister
		The Mersenne twister is a pseudorandom number generator developed in 1997 by Makoto Matsumoto (松本眞) and Takuji Nishimura (西村拓士) that is based on a matrix linear recurrence over a finite binary field
		The Mersenne Twister algorithm is a twisted generalised feedback shift register (twisted GFSR, or TGFSR) of rational normal form (TGFSR(R)), with state bit reflection and tempering.
		As like TGFSR(R), the Mersenne Twister is cascaded with a tempering transform to compensate for the reduced dimensionality of equidistribution (because of the choice of A being in the rational normal form), which is equivalent to the transformation A = R → A = T
	www.reference.com /browse/wiki/Mersenne_twister (986 words)

	The Mersenne Twister
		It was the development of this method by the developers of the Mersenne Twister that made the creation of such a large maximum-period shift register possible.
		The invention of the Mersenne Twister was preceded by the development, by the same inventors, of a related algorithm with an array of 25 rather than 624 elements, called TT800.
		The first of the Mersenne primes to be discovered by computer were 2^521-1, 2^607-1, 2^1279-1, 2^2203-1, and 2^2281-1, all discovered by Raphael M. Robinson on the Standards Western Automatic Computer (SWAC) a computer with a small Williams Tube random-access memory and a larger auxilliary memory on a magnetic drum.
	www.quadibloc.com /crypto/co4814.htm (3755 words)

	The Twisted Road to Randomness
		The Mersenne Twister was invented by Makoto Matsumoto and Takuji Nishimura; their website includes numerous implementations of the Mersenne Twister, and I direct you to their original paper (postscript, pdf) for the formal description of the algorithm.
		One of the appealing aspects of the Mersenne Twister is its use of binary operations -- as opposed to time-consuming multiplication -- for generating numbers.
		I've implemented the Mersenne Twister in C++ and Fortran 95; while there already exist versions of the algorithm in those languages, none of thesemet my criteria, and some of the implementations contain language and logic errors.
	www.coyotegulch.com /products/libcoyotl/twisted_road/index.html (3132 words)

	Random Number Generators
		Mersenne Twister FAQ also has suggestions for making it cryptographically secure.
		George Marsaglia has reservations about the complexity of Mersenne Twister, but considers it to be a good RNG nonetheless.
		The criticisms of Mersenne Twister tend to be aesthetic -- there are many simpler and faster RNGs with good foundations in theory which perform as well in statistical tests.
	www.paulm.org /random.html (1116 words)

	Mersenne Twister Random Number Generator
		The Mersenne Twister is an algorithm for generating random numbers.
		I have implemented the Mersenne Twister in a C++ class that is fast, convenient, portable, and free.
		The seeding algorithm was revised to correct a minor problem in which the highest bit of the seed was not well represented in the generator state.
	www-personal.umich.edu /~wagnerr/MersenneTwister.html (264 words)

	A C# Mersenne Twister class - The Code Project - C# Programming
		The Mersenne Twister (MT) is a pseudorandom number generator (PRNG) developed by Makoto Matsumoto and Takuji Nishimura[1][2] during 1996-1997.
		is a C++ wrapper class for the Mersenne Twister, the original Code Project article can be found here.
		In that article I not only presented a wrapper class for this marvelous pseudorandom number generator but I also discussed the equidistribution of the MT algorithm as well as its speed increases.
	www.codeproject.com /csharp/CsharpMersenneTwister.asp (934 words)

	MATLAB Central File Exchange - Mersenne Twister
		TWISTER produces pseudo-random numbers using the Mersenne Twister algorithm by Nishimura and Matsumoto, and is an alternative to the built-in function RAND in MATLAB.
		This is a Mex file implementation derived from a copyrighted C program by Takuji Nishimura and Makoto Matsumoto.
		Reference: M. Matsumoto and T. Nishimura, "Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator", ACM Transactions on Modeling and Computer Simulation, Vol.
	www.mathworks.com /matlabcentral/fileexchange/loadFile.do?objectId=6614&objectType=File (369 words)

	Mersenne twister section at Free Download Manager
		Shortcut's Twister will quickly help to create many shortcuts of your favourite programs, folders and documents at any place of your computer.
		Twister Website Translation Translator gives you the ability to surf the internet in over 180 language combinations for free.
		Drag the blue squares to the grid and try to figure out which combination is needed to use up all the squares.
	www.freedownloadmanager.org /downloads/mersenne_twister_info (448 words)

	Octave module for the Mersenne Twister MT19337 RNG
		This is an improved implementation of the very long period, fast, and memory-efficient Mersenne Twister Random Number Generator by Makoto Matsumoto and Takuji Nishimura.
		This random number generator uses a twisted generalized feedback shift-register algorithm which has a Mersenne prime period of 2^19937 - 1, or about 10^6000, and is equi-distributed in 623 dimensions.
		To give a rough idea of the speed improvement, consider the following simple program which times Octave's standard RNG, and the Mersenne Twister.
	dirk.eddelbuettel.com /code/octave-mt.html (372 words)

	Mersenne twister
		For instance, it assumes that overflow behaves a certain way, that math on unsigned integers behaves a certain way, etc. Since REALbasic has introduced all of these new data types, I wanted to chance to test them out.
		So I decided to implement the Mersenne twister pseudo-random number generation algorithm.
		If you're interested in learning more about what the Mersenne twister algorithm is, I suggest checking out the Wiki for the algorithm.
	www.aaronballman.com /programming/REALbasic/Rand.php (267 words)

	Gauche Users' Reference: 11.13 math.mt-random - Mersenne Twister Random number generator
		Provides a pseudo random number generator (RNG) based on "Mersenne Twister" algorithm developed by Makoto Matsumoto and Takuji Nishimura.
		A class to encapsulate the state of Mersenne Twister RNG.
		Each instance of this class has its own state, and can be used as an independent source of random bits if initialized by individual seed.
	practical-scheme.net /gauche/man/gauche-refe_127.html (273 words)

	TT800 and Mersenne Twister
		Mersenne Twister (MT) is a relatively new RNG which is claimed to have an astronomically long period of
		The authors of MT chose a special class of primes called Mersenne prime, which is of form
		Longer periods are possible by using larger Mersenne primes.
	www.cs.dartmouth.edu /~akapadia/project2/node10.html (225 words)

	Integrity at Bugsys Club
		With increased exposure over the past few years, The Mersenne Twister PRNG is increasingly accepted as the random number generator of choice for all statistical simulations and generative modeling, especially because it overcomes the shortcomings of prior pseudorandom number generators (PRNG).
		This is valid because the Mersenne Twister PRNG is statistically random in all the bits of its output.
		Because BugsysClub Poker uses the Mersenne Twister PRNG and the incremental Knuth shuffle (with a range function that is free of bias) you are guaranteed that you will receive a 'true' shuffle for any given hand.
	www.bugsysclub.com /club/about/integrity.htm (1067 words)

	ZRandom Support
		Use the high quality Mersenne Twister algorithm to generate better pseudo-random numbers than the Excel® RAND() and VBA Rnd() functions.
		Mersenne Twister is very fast and has a cycle period of 2
		The Mersenne Twister generator and all distributions can be used directly in spreadsheet cells or as part of more complex formulas.
	www.zrandom.com /zrand/affiliates/GoogleAd.aspx (347 words)

	Gauche Reference Manual: math.mt-random - Mersenne-Twister random number generator
		Provides a pseudo random number generator (RNG) based on "Mersenne Twister" algorithm developed by Makoto Matsumoto and Takuji Nishimura.
		A class to encapsulate the state of Mersenne Twister RNG.
		Each instance of this class has its own state, and can be used as an independent source of random bits if initialized by individual seed.
	fit.c2.com /files/LispPlatform/lisp/gosh-docs/gauche-refe_268.html (267 words)

	Generated JavaDoc for the PHYSIS system.: Class MersenneTwister
		This work is based on version MT199937 (99/10/29) of the Mersenne Twister algorithm found at * The Mersenne Twister Home Page.
		This version of the code implements the MT19937 Mersenne Twister algorithm, with the 99/10/29 seeding mechanism.
		This is the old seed-setting mechanism for the original Mersenne Twister algorithm.
	physis.sourceforge.net /old/doc/javadoc/physis/core/random/MersenneTwister.html (545 words)

	PowerBasic Crypto Archives Online Functions (Site not responding. Last check: )
		Intro: The Mersenne Twister has a colossal period of 2^19937-1, the largest of all cycles from the algorithms currently available here at the PB Crypto Archives.
		The algorithm was invented in 1997 by Makoto Matsumoto and Takuji Nishimura, and it provides for fast generation of very high quality random numbers, having been designed specifically to rectify many of the flaws found in older algorithms.
		Mersenne Twister passes all ENT and DIEHARD tests.
	www.pbcrypto.com /prng.php (72 words)

	Implementation of Mersenne Twister for Lisp
		The Mersenne Twister is a pseudorandom number generation algorithm created by by Makoto Matsumoto.
		jmt.lisp, an implementation of the Mersenne Twister for Common Lisp.
		The first step to using this Mersenne Twister is to load it.
	cybertiggyr.com /gene/jmt/jmt.html (1112 words)

	Random Number Generation
		These two random number generators take up very little space, have very long periods and other useful statistical properties, and are extremely fast — much, much faster than the standard random number generator that comes with your platform.
		The Mersenne Twister is a new random number generator, invented/discovered in 1996 by Matsumora and Nishimura.
		Overall, I'd have to say that the Mersenne Twister is my current favorite random number generator.
	www.qbrundage.com /michaelb/pubs/essays/random_number_generation (933 words)

	Code & form » Library: Mersenne Twister (pseudorandom number generator)
		Looking at Paul Houle's RngPack library, I found an implementation of the Mersenne Twister generator.
		The Mersenne Twister is considered research-grade, has a very long (2^19937-1) period and produces consistent numbers on different computers.
		I figured it might be useful to other people as well, so I have packaged it as a JAR file for use as a library with Processing.
	workshop.evolutionzone.com /2006/05/16/random-number-generator-mersenne-twister (235 words)

	MersenneTwisterFast
		Version 13, based on version MT199937(99/10/29) of the Mersenne Twister algorithm found at The Mersenne Twister Home Page, with the initialization improved using the new 2002/1/26 initialization algorithm By Sean Luke, October 2004.
		Makato Matsumoto and Takuji Nishimura, "Mersenne Twister: A 623-Dimensionally Equidistributed Uniform Pseudo-Random Number Generator", ACM Transactions on Modeling and.
		Don't pass in a long that's bigger than an int (Mersenne Twister only uses the first 32 bits for its seed).
	cs.gmu.edu /~sean/research/mersenne/ec/util/MersenneTwisterFast.html (1076 words)

	PHP: mt_rand - Manual
		Mersenne Twister has an ENORMOUS amount of internal state - 4992 bits, bigger than practically any cipher's key length.
		Running the output of Mersenne Twister through an unkeyed secure hash is NOT a good way to make it secure, because it'll still have a relatively small internal state which, if recovered, would allow reproduction of the keystream.
		A better idea would be to encrypt the output with a keyed encryption algorithm - but if you were going to do that, you wouldn't need a psuedorandom number generator at all, because a counter would be just as good.
	www.php.net /manual/fr/function.mt-rand.php (1912 words)

	Cray Inc - The Supercomputer Company > Products > XD1 > Resources (Site not responding. Last check: )
		The Mersenne Twister random number subroutine provides a good example of how the FPGA can speedup a subroutine.
		The Mersenne Twister random number subroutine generates pseudo random numbers that are often used for Monte Carlo analysis.
		For this simulation to be accurate, a very high quality random number generator is required. Cray implemented the Mersenne Twister random number generator in the FPGA.
	www.cray.com /products/xd1/accel_examples.html (530 words)

	[No title]
		ANEW --MT19937-- \ Wil Baden 2003-01-31 \ ******************************************************************* \ * * \ * Makoto Matsumoto and Takuji Nishimura 2002-01-09 * \ * * \ * Mersenne Twister 2002 Update * \ * * \ * http://www.math.keio.ac.jp/matumoto/MT2002/emt19937ar.html * \ * * \ * Generate sequence of "random" numbers with a cycle of * \ * 2^19937-1.
		A necessary but not \ sufficient condition for a Mersenne prime is that _w_ is prime.
		In \ the Mersenne Twister, instead of numbers, we are working with \ vectors of 19937 bits.
	home.earthlink.net /~neilbawd/mt19937.txt (931 words)

	Algorithmus, fÃ¼r, viele, uniform, schnelle, on Mersenne Twister
		Algorithmus, fÃ¼r, viele, uniform, schnelle, on Mersenne Twister
		Der Mersenne Twister ist ein Pseudozufallszahlengenerator, der 1997 von Makoto Matsumoto und Takuji Nishimura entwickelt wurde.
		Es gibt zwei Varianten dieses Algorithmus, die neuere und verbreitetere ist der Mersenne Twister MT 19937.
	www.dbilink.de /Mersenne-Twister.html (273 words)

	Uniform random number generators
		For all but the most demanding applications it doesn't matter which of the random number generators you use.
		The Mersenne twister is the one that is best understood theoretically.
		The theory of the Mersenne twister is given in the article:
	www.agner.org /random/randomc.htm (837 words)

	[No title] (Site not responding. Last check: )
		specified seeds (1 for Fibonacci, 2 for L'Ecuyer, 3 for Mersenne).
		Implements the Mersenne twister generator, returning one random !
		Initializes Mersenne twister generator as in the sample code by !
	george.ph.utexas.edu /~dsteck/code/random_pl.2.0.3/random_pl.f90 (4403 words)

	Math::Random::MT::Auto
		There is a functional interface to a single, standalone PRNG, and an OO interface (based on the inside-out object model as implemented by the Object::InsideOut module) for generating multiple PRNG objects.
		The Mersenne Twister is the (current) quintessential pseudorandom number generator.
		The Mersenne Twister algorithm was developed by Makoto Matsumoto and Takuji Nishimura.
	cpan.uwinnipeg.ca /htdocs/Math-Random-MT-Auto/Math/Random/MT/Auto.html (4078 words)

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