| <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
| <!-- NewPage --> |
| <html lang="en"> |
| <head> |
| <meta http-equiv="Content-Type" content="text/html" charset="UTF-8"> |
| <title>PolynomialFunctionLagrangeForm (Apache Commons Math 3.3 API)</title> |
| <link rel="stylesheet" type="text/css" href="../../../../../../stylesheet.css" title="Style"> |
| </head> |
| <body> |
| <script type="text/javascript"><!-- |
| if (location.href.indexOf('is-external=true') == -1) { |
| parent.document.title="PolynomialFunctionLagrangeForm (Apache Commons Math 3.3 API)"; |
| } |
| //--> |
| </script> |
| <noscript> |
| <div>JavaScript is disabled on your browser.</div> |
| </noscript> |
| <!-- ========= START OF TOP NAVBAR ======= --> |
| <div class="topNav"><a name="navbar_top"> |
| <!-- --> |
| </a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/PolynomialFunctionLagrangeForm.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.Parametric.html" title="class in org.apache.commons.math3.analysis.polynomials"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionNewtonForm.html" title="class in org.apache.commons.math3.analysis.polynomials"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../index.html?org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html" target="_top">Frames</a></li> |
| <li><a href="PolynomialFunctionLagrangeForm.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_top"> |
| <li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_top"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li>Field | </li> |
| <li><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li><a href="#constructor_detail">Constr</a> | </li> |
| <li><a href="#method_detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip-navbar_top"> |
| <!-- --> |
| </a></div> |
| <!-- ========= END OF TOP NAVBAR ========= --> |
| <!-- ======== START OF CLASS DATA ======== --> |
| <div class="header"> |
| <div class="subTitle">org.apache.commons.math3.analysis.polynomials</div> |
| <h2 title="Class PolynomialFunctionLagrangeForm" class="title">Class PolynomialFunctionLagrangeForm</h2> |
| </div> |
| <div class="contentContainer"> |
| <ul class="inheritance"> |
| <li><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.commons.math3.analysis.polynomials.PolynomialFunctionLagrangeForm</li> |
| </ul> |
| </li> |
| </ul> |
| <div class="description"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <dl> |
| <dt>All Implemented Interfaces:</dt> |
| <dd><a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a></dd> |
| </dl> |
| <hr> |
| <br> |
| <pre>public class <span class="strong">PolynomialFunctionLagrangeForm</span> |
| extends <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a> |
| implements <a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a></pre> |
| <div class="block">Implements the representation of a real polynomial function in |
| <a href="http://mathworld.wolfram.com/LagrangeInterpolatingPolynomial.html"> |
| Lagrange Form</a>. For reference, see <b>Introduction to Numerical |
| Analysis</b>, ISBN 038795452X, chapter 2. |
| <p> |
| The approximated function should be smooth enough for Lagrange polynomial |
| to work well. Otherwise, consider using splines instead.</p></div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>1.2</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: PolynomialFunctionLagrangeForm.java 1455194 2013-03-11 15:45:54Z luc $</dd></dl> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ======== CONSTRUCTOR SUMMARY ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_summary"> |
| <!-- --> |
| </a> |
| <h3>Constructor Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> |
| <caption><span>Constructors</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colOne" scope="col">Constructor and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#PolynomialFunctionLagrangeForm(double[], double[])">PolynomialFunctionLagrangeForm</a></strong>(double[] x, |
| double[] y)</code> |
| <div class="block">Construct a Lagrange polynomial with the given abscissas and function |
| values.</div> |
| </td> |
| </tr> |
| </table> |
| </li> |
| </ul> |
| <!-- ========== METHOD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_summary"> |
| <!-- --> |
| </a> |
| <h3>Method Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation"> |
| <caption><span>Methods</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Method and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>protected void</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#computeCoefficients()">computeCoefficients</a></strong>()</code> |
| <div class="block">Calculate the coefficients of Lagrange polynomial from the |
| interpolation data.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>int</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#degree()">degree</a></strong>()</code> |
| <div class="block">Returns the degree of the polynomial.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>static double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#evaluate(double[], double[], double)">evaluate</a></strong>(double[] x, |
| double[] y, |
| double z)</code> |
| <div class="block">Evaluate the Lagrange polynomial using |
| <a href="http://mathworld.wolfram.com/NevillesAlgorithm.html"> |
| Neville's Algorithm</a>.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#getCoefficients()">getCoefficients</a></strong>()</code> |
| <div class="block">Returns a copy of the coefficients array.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#getInterpolatingPoints()">getInterpolatingPoints</a></strong>()</code> |
| <div class="block">Returns a copy of the interpolating points array.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double[]</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#getInterpolatingValues()">getInterpolatingValues</a></strong>()</code> |
| <div class="block">Returns a copy of the interpolating values array.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#value(double)">value</a></strong>(double z)</code> |
| <div class="block">Calculate the function value at the given point.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>static boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#verifyInterpolationArray(double[], double[], boolean)">verifyInterpolationArray</a></strong>(double[] x, |
| double[] y, |
| boolean abort)</code> |
| <div class="block">Check that the interpolation arrays are valid.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="methods_inherited_from_class_java.lang.Object"> |
| <!-- --> |
| </a> |
| <h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> |
| <code><a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" title="class or interface in java.lang">wait</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| <div class="details"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="PolynomialFunctionLagrangeForm(double[], double[])"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>PolynomialFunctionLagrangeForm</h4> |
| <pre>public PolynomialFunctionLagrangeForm(double[] x, |
| double[] y) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></pre> |
| <div class="block">Construct a Lagrange polynomial with the given abscissas and function |
| values. The order of interpolating points are not important. |
| <p> |
| The constructor makes copy of the input arrays and assigns them.</p></div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - interpolating points</dd><dd><code>y</code> - function values at interpolating points</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the array lengths are different.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if the number of points is less than 2.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></code> - if two abscissae have the same value.</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="value(double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>value</h4> |
| <pre>public double value(double z)</pre> |
| <div class="block">Calculate the function value at the given point.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html#value(double)">value</a></code> in interface <code><a href="../../../../../../org/apache/commons/math3/analysis/UnivariateFunction.html" title="interface in org.apache.commons.math3.analysis">UnivariateFunction</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>z</code> - Point at which the function value is to be computed.</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the function value.</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if <code>x</code> and <code>y</code> have |
| different lengths.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></code> - if <code>x</code> is not sorted in strictly increasing order.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if the size of <code>x</code> is less |
| than 2.</dd></dl> |
| </li> |
| </ul> |
| <a name="degree()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>degree</h4> |
| <pre>public int degree()</pre> |
| <div class="block">Returns the degree of the polynomial.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the degree of the polynomial</dd></dl> |
| </li> |
| </ul> |
| <a name="getInterpolatingPoints()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getInterpolatingPoints</h4> |
| <pre>public double[] getInterpolatingPoints()</pre> |
| <div class="block">Returns a copy of the interpolating points array. |
| <p> |
| Changes made to the returned copy will not affect the polynomial.</p></div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>a fresh copy of the interpolating points array</dd></dl> |
| </li> |
| </ul> |
| <a name="getInterpolatingValues()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getInterpolatingValues</h4> |
| <pre>public double[] getInterpolatingValues()</pre> |
| <div class="block">Returns a copy of the interpolating values array. |
| <p> |
| Changes made to the returned copy will not affect the polynomial.</p></div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>a fresh copy of the interpolating values array</dd></dl> |
| </li> |
| </ul> |
| <a name="getCoefficients()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getCoefficients</h4> |
| <pre>public double[] getCoefficients()</pre> |
| <div class="block">Returns a copy of the coefficients array. |
| <p> |
| Changes made to the returned copy will not affect the polynomial.</p> |
| <p> |
| Note that coefficients computation can be ill-conditioned. Use with caution |
| and only when it is necessary.</p></div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>a fresh copy of the coefficients array</dd></dl> |
| </li> |
| </ul> |
| <a name="evaluate(double[], double[], double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>evaluate</h4> |
| <pre>public static double evaluate(double[] x, |
| double[] y, |
| double z) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></pre> |
| <div class="block">Evaluate the Lagrange polynomial using |
| <a href="http://mathworld.wolfram.com/NevillesAlgorithm.html"> |
| Neville's Algorithm</a>. It takes O(n^2) time.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - Interpolating points array.</dd><dd><code>y</code> - Interpolating values array.</dd><dd><code>z</code> - Point at which the function value is to be computed.</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the function value.</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if <code>x</code> and <code>y</code> have |
| different lengths.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></code> - if <code>x</code> is not sorted in strictly increasing order.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if the size of <code>x</code> is less |
| than 2.</dd></dl> |
| </li> |
| </ul> |
| <a name="computeCoefficients()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>computeCoefficients</h4> |
| <pre>protected void computeCoefficients()</pre> |
| <div class="block">Calculate the coefficients of Lagrange polynomial from the |
| interpolation data. It takes O(n^2) time. |
| Note that this computation can be ill-conditioned: Use with caution |
| and only when it is necessary.</div> |
| </li> |
| </ul> |
| <a name="verifyInterpolationArray(double[], double[], boolean)"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>verifyInterpolationArray</h4> |
| <pre>public static boolean verifyInterpolationArray(double[] x, |
| double[] y, |
| boolean abort) |
| throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>, |
| <a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></pre> |
| <div class="block">Check that the interpolation arrays are valid. |
| The arrays features checked by this method are that both arrays have the |
| same length and this length is at least 2.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - Interpolating points array.</dd><dd><code>y</code> - Interpolating values array.</dd><dd><code>abort</code> - Whether to throw an exception if <code>x</code> is not sorted.</dd> |
| <dt><span class="strong">Returns:</span></dt><dd><code>false</code> if the <code>x</code> is not sorted in increasing order, |
| <code>true</code> otherwise.</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code> - if the array lengths are different.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if the number of points is less than 2.</dd> |
| <dd><code><a href="../../../../../../org/apache/commons/math3/exception/NonMonotonicSequenceException.html" title="class in org.apache.commons.math3.exception">NonMonotonicSequenceException</a></code> - if <code>x</code> is not sorted in strictly increasing order and <code>abort</code> |
| is <code>true</code>.</dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#evaluate(double[], double[], double)"><code>evaluate(double[], double[], double)</code></a>, |
| <a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html#computeCoefficients()"><code>computeCoefficients()</code></a></dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| </div> |
| </div> |
| <!-- ========= END OF CLASS DATA ========= --> |
| <!-- ======= START OF BOTTOM NAVBAR ====== --> |
| <div class="bottomNav"><a name="navbar_bottom"> |
| <!-- --> |
| </a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> |
| <!-- --> |
| </a> |
| <ul class="navList" title="Navigation"> |
| <li><a href="../../../../../../overview-summary.html">Overview</a></li> |
| <li><a href="package-summary.html">Package</a></li> |
| <li class="navBarCell1Rev">Class</li> |
| <li><a href="class-use/PolynomialFunctionLagrangeForm.html">Use</a></li> |
| <li><a href="package-tree.html">Tree</a></li> |
| <li><a href="../../../../../../deprecated-list.html">Deprecated</a></li> |
| <li><a href="../../../../../../index-all.html">Index</a></li> |
| <li><a href="../../../../../../help-doc.html">Help</a></li> |
| </ul> |
| <div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script></em></div> |
| </div> |
| <div class="subNav"> |
| <ul class="navList"> |
| <li><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunction.Parametric.html" title="class in org.apache.commons.math3.analysis.polynomials"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../../org/apache/commons/math3/analysis/polynomials/PolynomialFunctionNewtonForm.html" title="class in org.apache.commons.math3.analysis.polynomials"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../../index.html?org/apache/commons/math3/analysis/polynomials/PolynomialFunctionLagrangeForm.html" target="_top">Frames</a></li> |
| <li><a href="PolynomialFunctionLagrangeForm.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_bottom"> |
| <li><a href="../../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_bottom"); |
| if(window==top) { |
| allClassesLink.style.display = "block"; |
| } |
| else { |
| allClassesLink.style.display = "none"; |
| } |
| //--> |
| </script> |
| </div> |
| <div> |
| <ul class="subNavList"> |
| <li>Summary: </li> |
| <li>Nested | </li> |
| <li>Field | </li> |
| <li><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li>Field | </li> |
| <li><a href="#constructor_detail">Constr</a> | </li> |
| <li><a href="#method_detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip-navbar_bottom"> |
| <!-- --> |
| </a></div> |
| <!-- ======== END OF BOTTOM NAVBAR ======= --> |
| <p class="legalCopy"><small>Copyright © 2003–2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> |
| </body> |
| </html> |