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<h2 title="Enum AllowedSolution" class="title">Enum AllowedSolution</h2>
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<pre>public enum <span class="strong">AllowedSolution</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true" title="class or interface in java.lang">Enum</a><<a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a>></pre>
<div class="block">The kinds of solutions that a <a href="../../../../../../org/apache/commons/math3/analysis/solvers/BracketedUnivariateSolver.html" title="interface in org.apache.commons.math3.analysis.solvers"><code>(bracketed univariate real) root-finding algorithm</code></a> may accept as solutions.
This basically controls whether or not under-approximations and
over-approximations are allowed.
<p>If all solutions are accepted (<a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#ANY_SIDE"><code>ANY_SIDE</code></a>), then the solution
that the root-finding algorithm returns for a given root may be equal to the
actual root, but it may also be an approximation that is slightly smaller
or slightly larger than the actual root. Root-finding algorithms generally
only guarantee that the returned solution is within the requested
tolerances. In certain cases however, in particular for
<a href="../../../../../../org/apache/commons/math3/ode/events/EventHandler.html" title="interface in org.apache.commons.math3.ode.events"><code>state events</code></a> of
<a href="../../../../../../org/apache/commons/math3/ode/ODEIntegrator.html" title="interface in org.apache.commons.math3.ode"><code>ODE solvers</code></a>, it
may be necessary to guarantee that a solution is returned that lies on a
specific side the solution.</p></div>
<dl><dt><span class="strong">Since:</span></dt>
<dd>3.0</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/solvers/BracketedUnivariateSolver.html" title="interface in org.apache.commons.math3.analysis.solvers"><code>BracketedUnivariateSolver</code></a></dd></dl>
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<th class="colOne" scope="col">Enum Constant and Description</th>
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<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#ABOVE_SIDE">ABOVE_SIDE</a></strong></code>
<div class="block">Only solutions for which values are greater than or equal to zero are
acceptable as solutions for root-finding.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#ANY_SIDE">ANY_SIDE</a></strong></code>
<div class="block">There are no additional side restriction on the solutions for
root-finding.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#BELOW_SIDE">BELOW_SIDE</a></strong></code>
<div class="block">Only solutions for which values are less than or equal to zero are
acceptable as solutions for root-finding.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#LEFT_SIDE">LEFT_SIDE</a></strong></code>
<div class="block">Only solutions that are less than or equal to the actual root are
acceptable as solutions for root-finding.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#RIGHT_SIDE">RIGHT_SIDE</a></strong></code>
<div class="block">Only solutions that are greater than or equal to the actual root are
acceptable as solutions for root-finding.</div>
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<td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#valueOf(java.lang.String)">valueOf</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name)</code>
<div class="block">Returns the enum constant of this type with the specified name.</div>
</td>
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<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html#values()">values</a></strong>()</code>
<div class="block">Returns an array containing the constants of this enum type, in
the order they are declared.</div>
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<h4>ANY_SIDE</h4>
<pre>public static final <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a> ANY_SIDE</pre>
<div class="block">There are no additional side restriction on the solutions for
root-finding. That is, both under-approximations and over-approximations
are allowed. So, if a function f(x) has a root at x = x0, then the
root-finding result s may be smaller than x0, equal to x0, or greater
than x0.</div>
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<h4>LEFT_SIDE</h4>
<pre>public static final <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a> LEFT_SIDE</pre>
<div class="block">Only solutions that are less than or equal to the actual root are
acceptable as solutions for root-finding. In other words,
over-approximations are not allowed. So, if a function f(x) has a root
at x = x0, then the root-finding result s must satisfy s <= x0.</div>
</li>
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<h4>RIGHT_SIDE</h4>
<pre>public static final <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a> RIGHT_SIDE</pre>
<div class="block">Only solutions that are greater than or equal to the actual root are
acceptable as solutions for root-finding. In other words,
under-approximations are not allowed. So, if a function f(x) has a root
at x = x0, then the root-finding result s must satisfy s >= x0.</div>
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<h4>BELOW_SIDE</h4>
<pre>public static final <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a> BELOW_SIDE</pre>
<div class="block">Only solutions for which values are less than or equal to zero are
acceptable as solutions for root-finding. So, if a function f(x) has
a root at x = x0, then the root-finding result s must satisfy f(s) <= 0.</div>
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<pre>public static final <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a> ABOVE_SIDE</pre>
<div class="block">Only solutions for which values are greater than or equal to zero are
acceptable as solutions for root-finding. So, if a function f(x) has
a root at x = x0, then the root-finding result s must satisfy f(s) >= 0.</div>
</li>
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<h4>values</h4>
<pre>public static <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a>[] values()</pre>
<div class="block">Returns an array containing the constants of this enum type, in
the order they are declared. This method may be used to iterate
over the constants as follows:
<pre>
for (AllowedSolution c : AllowedSolution.values())
System.out.println(c);
</pre></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>an array containing the constants of this enum type, in the order they are declared</dd></dl>
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<pre>public static <a href="../../../../../../org/apache/commons/math3/analysis/solvers/AllowedSolution.html" title="enum in org.apache.commons.math3.analysis.solvers">AllowedSolution</a> valueOf(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name)</pre>
<div class="block">Returns the enum constant of this type with the specified name.
The string must match <i>exactly</i> an identifier used to declare an
enum constant in this type. (Extraneous whitespace characters are
not permitted.)</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - the name of the enum constant to be returned.</dd>
<dt><span class="strong">Returns:</span></dt><dd>the enum constant with the specified name</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if this enum type has no constant with the specified name</dd>
<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> - if the argument is null</dd></dl>
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