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<div class="subTitle">edu.rit.numeric</div>
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<h2 title="Class NormalPrng" class="title">Class NormalPrng</h2>
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<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
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<li>
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<ul class="inheritance">
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<li><a href="../../../edu/rit/numeric/DoublePrng.html" title="class in edu.rit.numeric">edu.rit.numeric.DoublePrng</a></li>
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<ul class="inheritance">
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<li>edu.rit.numeric.NormalPrng</li>
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<pre>public class <span class="strong">NormalPrng</span>
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extends <a href="../../../edu/rit/numeric/DoublePrng.html" title="class in edu.rit.numeric">DoublePrng</a></pre>
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<div class="block">Class NormalPrng provides a pseudorandom number generator (PRNG) that
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generates random numbers with a normal distribution.
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<P>
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Every two calls of the <TT>next()</TT> method result in two calls of the
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underlying uniform PRNG's <TT>nextDouble()</TT> method. More precisely, the
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first of a pair of <TT>next()</TT> calls does two <TT>nextDouble()</TT>
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calls, the second of a pair of <TT>next()</TT> calls does not call
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<TT>nextDouble()</TT>.
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<P>
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Class NormalPrng uses the Box-Muller method to generate a standard normal
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distribution. Let <I>x</I><SUB>1</SUB> and <I>x</I><SUB>2</SUB> be drawn from
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a uniform distribution between 0 and 1. Then <I>y</I><SUB>1</SUB> and
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<I>y</I><SUB>2</SUB>, defined as follows, are drawn from a standard normal
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distribution.
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<CENTER>
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<I>y</I><SUB>1</SUB> = sqrt(−2 ln <I>x</I><SUB>1</SUB>) cos 2π<I>x</I><SUB>2</SUB>
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<BR><I>y</I><SUB>2</SUB> = sqrt(−2 ln <I>x</I><SUB>1</SUB>) sin 2π<I>x</I><SUB>2</SUB>
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</CENTER>
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And (μ + σ<I>y</I><SUB>1</SUB>) and
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(μ + σ<I>y</I><SUB>2</SUB>) are drawn from a normal
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distribution with mean μ and standard deviation σ.
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<P>
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<I>Note:</I> While slower than other techniques, this technique does a fixed
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number of <TT>nextDouble()</TT> calls to generate each normally distributed
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random number. This behavior is important when parallel programs generate
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random numbers.</div>
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</li>
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<h3>Fields inherited from class edu.rit.numeric.<a href="../../../edu/rit/numeric/DoublePrng.html" title="class in edu.rit.numeric">DoublePrng</a></h3>
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<code><a href="../../../edu/rit/numeric/DoublePrng.html#myUniformPrng">myUniformPrng</a></code></li>
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<td class="colOne"><code><strong><a href="../../../edu/rit/numeric/NormalPrng.html#NormalPrng(edu.rit.util.Random)">NormalPrng</a></strong>(<a href="../../../edu/rit/util/Random.html" title="class in edu.rit.util">Random</a> theUniformPrng)</code>
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<div class="block">Construct a new standard normal PRNG.</div>
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</td>
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</tr>
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<tr class="rowColor">
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<td class="colOne"><code><strong><a href="../../../edu/rit/numeric/NormalPrng.html#NormalPrng(edu.rit.util.Random, double, double)">NormalPrng</a></strong>(<a href="../../../edu/rit/util/Random.html" title="class in edu.rit.util">Random</a> theUniformPrng,
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double theMean,
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double theStdev)</code>
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<div class="block">Construct a new normal PRNG with the given mean and standard deviation.</div>
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</td>
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</tr>
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<td class="colFirst"><code>double</code></td>
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<td class="colLast"><code><strong><a href="../../../edu/rit/numeric/NormalPrng.html#next()">next</a></strong>()</code>
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<div class="block">Returns the next random number.</div>
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<h3>Constructor Detail</h3>
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<a name="NormalPrng(edu.rit.util.Random)">
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<h4>NormalPrng</h4>
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<pre>public NormalPrng(<a href="../../../edu/rit/util/Random.html" title="class in edu.rit.util">Random</a> theUniformPrng)</pre>
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<div class="block">Construct a new standard normal PRNG. The mean is 0 and the standard
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deviation is 1.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>theUniformPrng</code> - The underlying uniform PRNG.</dd>
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<dt><span class="strong">Throws:</span></dt>
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<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/NullPointerException.html?is-external=true" title="class or interface in java.lang">NullPointerException</a></code> - (unchecked exception) Thrown if <TT>theUniformPrng</TT> is null.</dd></dl>
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</li>
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<a name="NormalPrng(edu.rit.util.Random, double, double)">
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<h4>NormalPrng</h4>
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<pre>public NormalPrng(<a href="../../../edu/rit/util/Random.html" title="class in edu.rit.util">Random</a> theUniformPrng,
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double theMean,
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double theStdev)</pre>
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<div class="block">Construct a new normal PRNG with the given mean and standard deviation.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>theUniformPrng</code> - The underlying uniform PRNG.</dd><dd><code>theMean</code> - Mean of the normal distribution.</dd><dd><code>theStdev</code> - Standard deviation of the normal distribution.</dd>
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<dt><span class="strong">Throws:</span></dt>
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<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/NullPointerException.html?is-external=true" title="class or interface in java.lang">NullPointerException</a></code> - (unchecked exception) Thrown if <TT>theUniformPrng</TT> is null.</dd></dl>
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<h4>next</h4>
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<pre>public double next()</pre>
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<div class="block">Returns the next random number.</div>
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<dl>
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<dt><strong>Specified by:</strong></dt>
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<dd><code><a href="../../../edu/rit/numeric/DoublePrng.html#next()">next</a></code> in class <code><a href="../../../edu/rit/numeric/DoublePrng.html" title="class in edu.rit.numeric">DoublePrng</a></code></dd>
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<dt><span class="strong">Returns:</span></dt><dd>Random number.</dd></dl>
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<p class="legalCopy"><small><FONT SIZE="-2">Copyright © 2013–2016 by Alan Kaminsky. All rights reserved. Send comments to ark</FONT><FONT SIZE="1" COLOR="#FFFFFF">­</FONT><FONT SIZE="-2">@</FONT><FONT SIZE="1" COLOR="#FFFFFF">­</FONT><FONT SIZE="-2">cs.rit.edu.</FONT></small></p>
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