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<div class="subTitle">edu.rit.numeric</div>
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<h2 title="Class Bracket" class="title">Class Bracket</h2>
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<dt>Direct Known Subclasses:</dt>
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<dd><a href="../../../edu/rit/numeric/BracketMonotonic.html" title="class in edu.rit.numeric">BracketMonotonic</a></dd>
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<br>
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<pre>public abstract class <span class="strong">Bracket</span>
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extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
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<div class="block">Class Bracket is the abstract base class for an object that finds a
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bracketing interval for a root of a <a href="../../../edu/rit/numeric/Function.html" title="interface in edu.rit.numeric">Function</a>. Given a
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real-valued function of a real-valued variable <I>f</I>(<I>x</I>), an
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instance of a subclass of class Bracket finds values <I>x</I><SUB>1</SUB> and
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<I>x</I><SUB>2</SUB> such that <I>f</I>(<I>x</I><SUB>1</SUB>) and
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<I>f</I>(<I>x</I><SUB>2</SUB>) have opposite signs. Class <a href="../../../edu/rit/numeric/Root.html" title="class in edu.rit.numeric">Root</a>
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uses class Bracket.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<th class="colLast" scope="col">Field and Description</th>
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<tr class="altColor">
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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/Bracket.html#f_x1">f_x1</a></strong></code>
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<div class="block">Function evaluated at first endpoint of bracketing interval.</div>
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</td>
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</tr>
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<tr class="rowColor">
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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/Bracket.html#f_x2">f_x2</a></strong></code>
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<div class="block">Function evaluated at second endpoint of bracketing interval.</div>
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</td>
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</tr>
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<tr class="altColor">
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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/Bracket.html#x1">x1</a></strong></code>
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<div class="block">First endpoint of bracketing interval.</div>
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</td>
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</tr>
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<tr class="rowColor">
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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/Bracket.html#x2">x2</a></strong></code>
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<div class="block">Second endpoint of bracketing interval.</div>
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<td class="colOne"><code><strong><a href="../../../edu/rit/numeric/Bracket.html#Bracket(double, double)">Bracket</a></strong>(double x1,
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double x2)</code>
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<div class="block">Construct a bracketing interval object with the initial bracketing
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interval <TT>x1</TT> to <TT>x2</TT>.</div>
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<td class="colFirst"><code>abstract void</code></td>
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<td class="colLast"><code><strong><a href="../../../edu/rit/numeric/Bracket.html#bracket(edu.rit.numeric.Function)">bracket</a></strong>(<a href="../../../edu/rit/numeric/Function.html" title="interface in edu.rit.numeric">Function</a> func)</code>
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<div class="block">Find a bracketing interval for the given function.</div>
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<h3>Field Detail</h3>
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<a name="x1">
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<h4>x1</h4>
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<pre>public double x1</pre>
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<div class="block">First endpoint of bracketing interval.</div>
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</li>
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</ul>
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<a name="x2">
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<h4>x2</h4>
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<pre>public double x2</pre>
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<div class="block">Second endpoint of bracketing interval.</div>
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</li>
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<a name="f_x1">
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<h4>f_x1</h4>
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<pre>public double f_x1</pre>
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<div class="block">Function evaluated at first endpoint of bracketing interval.</div>
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</li>
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<a name="f_x2">
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<h4>f_x2</h4>
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<pre>public double f_x2</pre>
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<div class="block">Function evaluated at second endpoint of bracketing interval.</div>
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</li>
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<h3>Constructor Detail</h3>
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<a name="Bracket(double, double)">
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<h4>Bracket</h4>
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<pre>public Bracket(double x1,
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double x2)</pre>
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<div class="block">Construct a bracketing interval object with the initial bracketing
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interval <TT>x1</TT> to <TT>x2</TT>.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x1</code> - Initial bracketing interval first endpoint.</dd><dd><code>x2</code> - Initial bracketing interval second endpoint.</dd></dl>
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<h4>bracket</h4>
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<pre>public abstract void bracket(<a href="../../../edu/rit/numeric/Function.html" title="interface in edu.rit.numeric">Function</a> func)</pre>
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<div class="block">Find a bracketing interval for the given function. When called, fields
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<TT>x1</TT> and <TT>x2</TT> are the initial bracketing interval
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endpoints. Upon return, fields <TT>x1</TT> and <TT>x2</TT> have been
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adjusted to bracket a root; fields <TT>f_x1</TT> and <TT>f_x2</TT>
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contain the function values at <TT>x1</TT> and <TT>x2</TT>; and
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<TT>f_x1</TT> and <TT>f_x2</TT> have opposite signs.</div>
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<dl><dt><span class="strong">Parameters:</span></dt><dd><code>func</code> - Function.</dd>
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<dt><span class="strong">Throws:</span></dt>
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<dd><code><a href="../../../edu/rit/numeric/TooManyIterationsException.html" title="class in edu.rit.numeric">TooManyIterationsException</a></code> - (unchecked exception) Thrown if too many iterations have occurred
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without finding a bracketing interval.</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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