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Overview of the RandomTools[QuadraticCongruence] Subpackage
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Calling Sequence
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RandomTools[QuadraticCongruence][function](arguments)
function(arguments)
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Description
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The RandomTools[QuadraticCongruence] subpackage contains functions for creating pseudo-random number generators using the Quadratic Congruence algorithm. The integers ![x[1], x[2]](/support/helpjp/helpview.aspx?si=8970/file02665/math26.png) , ... are generated using the quadratic recurrence
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![x[k+1] = `mod`(x[k]^2, n)](/support/helpjp/helpview.aspx?si=8970/file02665/math32.png)
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where  is a product of two primes and ![x[0]](/support/helpjp/helpview.aspx?si=8970/file02665/math37.png) , the seed, may be specified by the user. They use the least significant bits of the x's to form the random numbers.
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The Quadratic Congruential Generator creates generators using primes of length either 10, 12, 15 or 16 digits. These generators can be used for every day scientific applications.
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Each command in the RandomTools[QuadraticCongruence] subpackage can be accessed by using either the long form or the short form of the command name in the command calling sequence.
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As the underlying implementation of the RandomTools[QuadraticCongruence] subpackage is a module, it is also possible to use the form RandomTools:-QuadraticCongruence:-command to access a command from the package. For more information, see Module Members.
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List of RandomTools[QuadraticCongruence] Subpackage Commands
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Examples
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![with(RandomTools[QuadraticCongruence])](/support/helpjp/helpview.aspx?si=8970/file02665/math99.png)
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![[NewGenerator]](/support/helpjp/helpview.aspx?si=8970/file02665/math102.png)
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We first create a random number generator for generating random numbers on the range 1..6 and generate two random numbers.
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Now we roll the die 10 times.
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Now we create a 10 decimal digit random number generator. To form uniformly distributed floating point random numbers with 10 digits of precision on [0,1) we use the command  which forms the floating point number  .
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For further options see help page for the NewGenerator command.
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Download Help Document
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