MersenneTwister Class

A 32-bit Mersenne Twister generator.

Inheritance Hierarchy

SystemObject
Imsl.StatMersenneTwister

Namespace: Imsl.Stat
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

C++

Copy

[SerializableAttribute]
public class MersenneTwister : RandomBaseGenerator, 
	ICloneable

<SerializableAttribute>
Public Class MersenneTwister
	Implements RandomBaseGenerator, ICloneable

[SerializableAttribute]
public ref class MersenneTwister : RandomBaseGenerator, 
	ICloneable

[<SerializableAttribute>]
type MersenneTwister =  
    class
        interface RandomBaseGenerator
        interface ICloneable
    end

The MersenneTwister type exposes the following members.

Constructors

	Name	Description
	MersenneTwister(Int32)	Initializes the 32-bit Mersenne Twister generator using a seed.
	MersenneTwister(Int32)	Initializes the 32-bit Mersenne Twister generator using an array.
	MersenneTwister(UInt32)	Initializes the 32-bit Mersenne Twister generator using a seed.
	MersenneTwister(UInt32)	Initializes the 32-bit Mersenne Twister generator using an array.

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Methods

	Name	Description
	Clone	Returns a clone of this object.
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	GetHashCode	Serves as a hash function for a particular type. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	Next	Returns a nonnegative pseudorandom int.
	NextDouble	Returns a random number between 0.0 and 1.0.
	NextFloat	Returns a random number between 0.0 and 1.0.
	ToString	Returns a string that represents the current object. (Inherited from Object.)

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Remarks

By default, the class Random uses the uniform distribution generated by the base class Random. Alternatively, one can instantiate MersenneTwister or MersenneTwister64 to generate uniform psuedorandom numbers via the Mersenne Twister algorithm. These generators have a period of $2^{19937}-1$ and a 623-dimensional equidistribution property. See Matsumoto et al. 1998 for details. The series of random numbers can be generated using a seed for initialization or by using an array of type int or This generator can be used to generate non-uniform distributions by creating an Random object using an instance of this class as an argument to the constructor. One can also save the state of the generator at initialization to be re-used later.

This C# code was translated from the the following C program.

A C-program for MT19937, with initialization improved 2002/1/26. Coded by Takuji Nishimura and Makoto Matsumoto.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer.
Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
The names of its contributors may not be used to endorse or promote products derived from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

Any feedback is very welcome.

http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html

mailto: m-mat@math.sci.hiroshima-u.ac.jp

Reference

Imsl.Stat Namespace

Other Resources

Example